Finite Group Databasebeta

← C3×#32659 #10651266

Subgroups — C3×#32659 #10651266

Order 768.

774 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2580C211yesmaximal, characteristic, complemented
2C3×#2538C211yesmaximal, characteristic, complemented
3C3×#2093C211yesmaximal, characteristic, complemented
4C3×#2092C211yesmaximal, characteristic, complemented
5C3×#2085C211yesmaximal, characteristic, complemented
6C3×#2084C211yesmaximal, characteristic, complemented
7C3×#2067C211yesmaximal, characteristic, complemented
8C3×#2065C211yesmaximal, characteristic, complemented
9C3×#1985C211yesmaximal, characteristic, complemented
10C3×#1972C211yesmaximal, characteristic
11C3×#1943C211yesmaximal, characteristic, complemented
12C3×#1879C211yesmaximal, characteristic
13C3×#1879C211yesmaximal, characteristic
14C3×#1864C211yesmaximal, characteristic, complemented
15C3×#1864C211yesmaximal, characteristic, complemented
16#32659C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×D8C2211yescharacteristic
18C2×C3×C22⋊Q8—21no—
19C2×C3×C4×Q8C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×#107C2211yescharacteristic
23C2×C3×#107C2211yescharacteristic
24C2×C3×#106C2211yescharacteristic
25C2×C3×#106C2211yescharacteristic
26C2×C3×#106C2211yescharacteristic
27C2×C3×C4⋊C8C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C2×C3×#97C2211yescharacteristic
35C3×#399—21no—
36C3×#396—21no—
37C3×#396—21no—
38C3×#393—21no—
39C3×#390C2211yescharacteristic
40C3×#390C2211yescharacteristic
41C3×#390C2211yescharacteristic
42C3×#390C2211yescharacteristic
43C3×#389C2211yescharacteristic
44C3×#389C2211yescharacteristic
45C3×#389C2211yescharacteristic
46C3×#389C2211yescharacteristic
47C3×#385—21no—
48C3×#385—21no—
49C3×#384C2211yescharacteristic
50C3×#382C2211yescharacteristic
51C3×#380—21no—
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#336C2211yescharacteristic
57C3×#336C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2580C2×C311yescharacteristic, complemented
61#2538C2×C311yescharacteristic, complemented
62#2093C2×C311yescharacteristic, complemented
63#2092C2×C311yescharacteristic, complemented
64#2085C2×C311yescharacteristic, complemented
65#2084C2×C311yescharacteristic, complemented
66#2067C2×C311yescharacteristic, complemented
67#2065C2×C311yescharacteristic, complemented
68#1985C2×C311yescharacteristic, complemented
69#1972C2×C311yescharacteristic
70#1943C2×C311yescharacteristic, complemented
71#1879C2×C311yescharacteristic
72#1879C2×C311yescharacteristic
73#1864C2×C311yescharacteristic, complemented
74#1864C2×C311yescharacteristic, complemented
75C22×C3×Q8D411yescharacteristic
76C22×C3×D4C2311yescharacteristic
77C22×C3×D4C2311yescharacteristic
78C23×C3×C4—21no—
79C23×C3×C4—21no—
80C2×C3×D8—41no—
81C2×C3×D8—41no—
82C2×C3×D8Q814yescomplemented
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×C22⋊Q8—44no—
88C3×C4×Q8—41no—
89C3×C4×Q8—41no—
90C3×C4×D4—41no—
91C3×C4×D4—41no—
92C3×C4×D4—41no—
93C3×C4×D4—41no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4D411yescharacteristic
101C2×C3×C4⋊C4D411yescharacteristic
102C2×C3×C4⋊C4D411yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—21no—
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—21no—
114C2×C3×C22⋊C4—21no—
115C2×C3×C22⋊C4—21no—
116C2×C3×C22⋊C4—21no—
117C2×C3×C22⋊C4—21no—
118C2×C3×C22⋊C4—21no—
119C2×C3×C42C2311yescharacteristic
120C2×C3×C42C2311yescharacteristic
121C2×C3×C42C2311yescharacteristic
122C3×#107—22no—
123C3×#107—41no—
124C3×#106—41no—
125C3×#106—41no—
126C3×#106—41no—
127C3×C4⋊C8—41no—
128C3×#102—22no—
129C3×#102—22no—
130C3×#102—41no—
131C3×#102—41no—
132C3×#102—41no—
133C3×#102—41no—
134C3×#97—41no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C22×D8C22×C311yescharacteristic
142C2×C22⋊Q8—21no—
143C2×C4×Q8C22×C311yescharacteristic
144C2×C4×D4C22×C311yescharacteristic
145C2×C4×D4C22×C311yescharacteristic
146C2×#107C22×C311yescharacteristic
147C2×#107C22×C311yescharacteristic
148C2×#106C22×C311yescharacteristic
149C2×#106C22×C311yescharacteristic
150C2×#106C22×C311yescharacteristic
151C2×C4⋊C8C22×C311yescharacteristic
152C2×#102C22×C311yescharacteristic
153C2×#102C22×C311yescharacteristic
154C2×#102C22×C311yescharacteristic
155C2×#102C22×C311yescharacteristic
156C2×#102C22×C311yescharacteristic
157C2×#102C22×C311yescharacteristic
158C2×#97C22×C311yescharacteristic
159#399—21no—
160#396—21no—
161#396—21no—
162#393—21no—
163#390C22×C311yescharacteristic
164#390C22×C311yescharacteristic
165#390C22×C311yescharacteristic
166#390C22×C311yescharacteristic
167#389C22×C311yescharacteristic
168#389C22×C311yescharacteristic
169#389C22×C311yescharacteristic
170#389C22×C311yescharacteristic
171#385—21no—
172#385—21no—
173#384C22×C311yescharacteristic
174#382C22×C311yescharacteristic
175#380—21no—
176#340C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#336C22×C311yescharacteristic
181#336C22×C311yescharacteristic
182#336C22×C311yescharacteristic
183#336C22×C311yescharacteristic
184C24×C3—21no—
185C24×C3—21no—
186C2×C3×Q8—22no—
187C2×C3×Q8—41no—
188C2×C3×Q8—41no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4—21no—
193C2×C3×D4—21no—
194C2×C3×D4—21no—
195C2×C3×D4—21no—
196C2×C3×D4—21no—
197C2×C3×D4—21no—
198C2×C3×D4—21no—
199C2×C3×D4C2×Q812yes—
200C2×C3×D4C2×Q812yes—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—42no—
208C22×C3×C4—42no—
209C22×C3×C4—42no—
210C22×C3×C4—42no—
211C22×C3×C4—81no—
212C22×C3×C4—81no—
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2411yescharacteristic
220C3×D8—44no—
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×C8C2×Q812yes—
232C2×C3×C8#4112yes—
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—21no—
240C3×C4⋊C4—21no—
241C3×C4⋊C4—21no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—21no—
244C3×C4⋊C4—21no—
245C3×C4⋊C4—41no—
246C3×C4⋊C4—41no—
247C3×C4⋊C4—41no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4—42no—
250C3×C4⋊C4—42no—
251C3×C4⋊C4—81no—
252C3×C4⋊C4—81no—
253C3×C4⋊C4—81no—
254C3×C22⋊C4—42no—
255C3×C22⋊C4—42no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—42no—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—81no—
261C3×C22⋊C4—81no—
262C3×C22⋊C4—81no—
263C3×C22⋊C4—81no—
264C3×C42—21no—
265C3×C42—21no—
266C3×C42—21no—
267C3×C42—21no—
268C3×C42—21no—
269C3×C42—21no—
270C22×Q8C3×D411yescharacteristic
271C22×D4C23×C311yescharacteristic
272C22×D4C23×C311yescharacteristic
273C23×C4—21no—
274C23×C4—21no—
275C2×D8—41no—
276C2×D8—41no—
277C2×D8C3×Q814yescomplemented
278C22×C8C23×C311yescharacteristic
279C22×C8C23×C311yescharacteristic
280C22×C8C23×C311yescharacteristic
281C22×C8C23×C311yescharacteristic
282C22⋊Q8—44no—
283C4×Q8—41no—
284C4×Q8—41no—
285C4×D4—41no—
286C4×D4—41no—
287C4×D4—41no—
288C4×D4—41no—
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⋊C4C3×D411yescharacteristic
296C2×C4⋊C4C3×D411yescharacteristic
297C2×C4⋊C4C3×D411yescharacteristic
298C2×C4⋊C4C23×C311yescharacteristic
299C2×C4⋊C4C23×C311yescharacteristic
300C2×C4⋊C4C23×C311yescharacteristic
301C2×C4⋊C4C23×C311yescharacteristic
302C2×C4⋊C4C23×C311yescharacteristic
303C2×C4⋊C4C23×C311yescharacteristic
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C42C23×C311yescharacteristic
315C2×C42C23×C311yescharacteristic
316C2×C42C23×C311yescharacteristic
317#107—22no—
318#107—41no—
319#106—41no—
320#106—41no—
321#106—41no—
322C4⋊C8—41no—
323#102—22no—
324#102—22no—
325#102—41no—
326#102—41no—
327#102—41no—
328#102—41no—
329#97—41no—
330#95—21no—
331#95—21no—
332#95—21no—
333#95—21no—
334#95—21no—
335#95—21no—
336C23×C3—22no—
337C23×C3—22no—
338C23×C3—41no—
339C23×C3—41no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3C22×D411yescharacteristic
351C3×Q8—44no—
352C3×D4—22no—
353C3×D4—22no—
354C3×D4—22no—
355C3×D4—22no—
356C3×D4—41no—
357C3×D4—41no—
358C3×D4—41no—
359C3×D4—41no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—21no—
363C2×C3×C4—21no—
364C2×C3×C4—21no—
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—21no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
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—41no—
390C2×C3×C4—41no—
391C2×C3×C4—41no—
392C2×C3×C4—41no—
393C2×C3×C4—41no—
394C2×C3×C4—41no—
395C2×C3×C4—84no—
396C2×C3×C4—84no—
397C2×C3×C4AGL(1,ℤ/8)12yes—
398C2×C3×C4C22×Q811yescharacteristic
399C2×C3×C4C2×#4111yescharacteristic
400C2×C3×C4H(5,𝔽2)11yescharacteristic
401C2×C3×C4H(5,𝔽2)11yescharacteristic
402C2×C3×C4H(5,𝔽2)11yescharacteristic
403C2×C3×C42−1+411yescharacteristic
404C3×C8—22no—
405C3×C8—22no—
406C3×C8—41no—
407C3×C8—41no—
408C24—21no—
409C24—21no—
410C2×Q8—22no—
411C2×Q8—41no—
412C2×Q8—41no—
413C2×D4—21no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—21no—
417C2×D4—21no—
418C2×D4—21no—
419C2×D4—21no—
420C2×D4—21no—
421C2×D4—21no—
422C2×D4—21no—
423C2×D4C2×C3×Q812yes—
424C2×D4C2×C3×Q812yes—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—42no—
432C22×C4—42no—
433C22×C4—42no—
434C22×C4—42no—
435C22×C4—81no—
436C22×C4—81no—
437C22×C4C2×C3×D411yescharacteristic
438C22×C4C2×C3×D411yescharacteristic
439C22×C4C2×C3×D411yescharacteristic
440C22×C4C2×C3×D411yescharacteristic
441C22×C4C2×C3×D411yescharacteristic
442C22×C4C2×C3×D411yescharacteristic
443C22×C4C24×C311yescharacteristic
444D8—44no—
445C2×C8—21no—
446C2×C8—21no—
447C2×C8—21no—
448C2×C8—21no—
449C2×C8—21no—
450C2×C8—21no—
451C2×C8—21no—
452C2×C8—21no—
453C2×C8—21no—
454C2×C8—21no—
455C2×C8C2×C3×Q812yes—
456C2×C8C3×#4112yes—
457C4⋊C4—21no—
458C4⋊C4—21no—
459C4⋊C4—21no—
460C4⋊C4—21no—
461C4⋊C4—21no—
462C4⋊C4—21no—
463C4⋊C4—21no—
464C4⋊C4—21no—
465C4⋊C4—21no—
466C4⋊C4—21no—
467C4⋊C4—21no—
468C4⋊C4—21no—
469C4⋊C4—41no—
470C4⋊C4—41no—
471C4⋊C4—41no—
472C4⋊C4—42no—
473C4⋊C4—42no—
474C4⋊C4—42no—
475C4⋊C4—81no—
476C4⋊C4—81no—
477C4⋊C4—81no—
478C22⋊C4—42no—
479C22⋊C4—42no—
480C22⋊C4—42no—
481C22⋊C4—42no—
482C22⋊C4—42no—
483C22⋊C4—42no—
484C22⋊C4—81no—
485C22⋊C4—81no—
486C22⋊C4—81no—
487C22⋊C4—81no—
488C42—21no—
489C42—21no—
490C42—21no—
491C42—21no—
492C42—21no—
493C42—21no—
494C22×C3—42no—
495C22×C3—42no—
496C22×C3—42no—
497C22×C3—42no—
498C22×C3—42no—
499C22×C3—42no—
500C22×C3—81no—
501C22×C3—81no—
502C22×C3—81no—
503C22×C3—81no—
504C22×C3—81no—
505C22×C3—81no—
506C22×C3—81no—
507C22×C3—81no—
508C22×C3#53411yescharacteristic
509C22×C3D4×Q811yescharacteristic
510C22×C3#55011yescharacteristic
511C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
512C22×C3#57511yescharacteristic
513C22×C3#57611yescharacteristic
514C22×C3#57711yescharacteristic
515C3×C4—22no—
516C3×C4—41no—
517C3×C4—41no—
518C3×C4—41no—
519C3×C4—41no—
520C3×C4—41no—
521C3×C4—81no—
522C3×C4—81no—
523C3×C4—81no—
524C3×C4—81no—
525C3×C4—81no—
526C3×C4—81no—
527C3×C4#53911yescharacteristic
528C3×C4#54311yescharacteristic
529C3×C4#55411yescharacteristic
530C3×C4#56211yescharacteristic
531C23—22no—
532C23—22no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23C22×C3×D411yescharacteristic
546Q8—44no—
547D4—22no—
548D4—22no—
549D4—22no—
550D4—22no—
551D4—41no—
552D4—41no—
553D4—41no—
554D4—41no—
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—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
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×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—84no—
591C2×C4—84no—
592C2×C4C3×AGL(1,ℤ/8)12yes—
593C2×C4C22×C3×Q811yescharacteristic
594C2×C4C2×C3×#4111yescharacteristic
595C2×C4C3×H(5,𝔽2)11yescharacteristic
596C2×C4C3×H(5,𝔽2)11yescharacteristic
597C2×C4C3×H(5,𝔽2)11yescharacteristic
598C2×C4C3×2−1+411yescharacteristic
599C8—22no—
600C8—22no—
601C8—41no—
602C8—41no—
603C2×C3—82no—
604C2×C3—82no—
605C2×C3#273211yescharacteristic
606C2×C3#319411yescharacteristic
607C2×C3#319811yescharacteristic
608C2×C3#338411yescharacteristic
609C2×C3#338911yescharacteristic
610C2×C3#339911yescharacteristic
611C2×C3#340111yescharacteristic
612C22—42no—
613C22—42no—
614C22—42no—
615C22—42no—
616C22—42no—
617C22—42no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22C3×#53411yescharacteristic
627C22C3×D4×Q811yescharacteristic
628C22C3×#55011yescharacteristic
629C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
630C22C3×#57511yescharacteristic
631C22C3×#57611yescharacteristic
632C22C3×#57711yescharacteristic
633C4—22no—
634C4—41no—
635C4—41no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—81no—
640C4—81no—
641C4—81no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4C3×#53911yescharacteristic
646C4C3×#54311yescharacteristic
647C4C3×#55411yescharacteristic
648C4C3×#56211yescharacteristic
649C3#3265911yescharacteristic, direct product factor, Sylow
650C2—82no—
651C2—82no—
652C2C3×#273211yescharacteristic
653C2C3×#319411yescharacteristic
654C2C3×#319811yescharacteristic
655C2C3×#338411yescharacteristic
656C2C3×#338911yescharacteristic
657C2C3×#339911yescharacteristic
658C2C3×#340111yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C2×C3×C4×Q8 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#2580C2semidirect
2. C3×#2538C2semidirect
3. C3×#2093C2semidirect
4. C3×#2092C2semidirect
5. C3×#2085C2semidirect
6. C3×#2084C2semidirect
7. C3×#2067C2semidirect
8. C3×#2065C2semidirect
9. C3×#1985C2semidirect
11. C3×#1943C2semidirect
14. C3×#1864C2semidirect
15. C3×#1864C2semidirect
16. #32659C3direct (N × H)
60. #2580C2×C3semidirect
61. #2538C2×C3semidirect
62. #2093C2×C3semidirect
63. #2092C2×C3semidirect
64. #2085C2×C3semidirect
65. #2084C2×C3semidirect
66. #2067C2×C3semidirect
67. #2065C2×C3semidirect
68. #1985C2×C3semidirect
70. #1943C2×C3semidirect
73. #1864C2×C3semidirect
74. #1864C2×C3semidirect
82. C2×C3×D8Q8semidirect
277. C2×D8C3×Q8semidirect
649. C3#32659direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#25802
C3×#25382
C3×#20932
C3×#20922
C3×#20852
C3×#20842
C3×#20672
C3×#20652
C3×#19852
C3×#19722
C3×#19432
C3×#18792
C3×#18642
#326593