Finite Group Databasebeta

← C3×#24641 #10643248

Subgroups — C3×#24641 #10643248

Order 768.

842 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#464C211yesmaximal, characteristic
2C2×C3×#441C211yesmaximal, characteristic, complemented
3C3×#2545C211yesmaximal, characteristic
4C3×#2355C211yesmaximal, characteristic, complemented
5C3×#2056C211yesmaximal, characteristic, complemented
6C3×#2055C211yesmaximal, characteristic
7C3×#2016C211yesmaximal, characteristic, complemented
8C3×#2015C211yesmaximal, characteristic
9C3×#1983C211yesmaximal, characteristic
10C3×#1981C211yesmaximal, characteristic, complemented
11C3×#1959C211yesmaximal, characteristic
12C3×#1940C211yesmaximal, characteristic, complemented
13C3×#1927C211yesmaximal, characteristic, complemented
14C3×#1926C211yesmaximal, characteristic
15C3×#1803C211yesmaximal, characteristic, complemented
16#24641C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×Q16C2211yescharacteristic
18C22×C3×Q16C2211yescharacteristic
19C22×C3×SD16C2211yescharacteristic
20C2×C3×C4⋊Q8C2211yescharacteristic
21C2×C3×#124C2211yescharacteristic
22C2×C3×#124C2211yescharacteristic
23C2×C3×C4×Q8C2211yescharacteristic
24C2×C3×C4×Q8C2211yescharacteristic
25C3×#464—24no—
26C3×#441—24no—
27C2×C3×#106C2211yescharacteristic
28C2×C3×C4⋊C8C2211yescharacteristic
29C2×C3×C4⋊C8C2211yescharacteristic
30C2×C3×C4⋊C8C2211yescharacteristic
31C2×C3×#103C2211yescharacteristic
32C2×C3×#103C2211yescharacteristic
33C2×C3×#103C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#103C2211yescharacteristic
36C2×C3×#103C2211yescharacteristic
37C2×C3×#103C2211yescharacteristic
38C2×C3×#102C2211yescharacteristic
39C2×C3×#102C2211yescharacteristic
40C2×C3×#102C2211yescharacteristic
41C2×C3×#97C2211yescharacteristic
42C3×#396—21no—
43C3×#396—21no—
44C3×#391C2211yescharacteristic
45C3×#391C2211yescharacteristic
46C3×#391C2211yescharacteristic
47C3×#390C2211yescharacteristic
48C3×#388—21no—
49C3×#388—21no—
50C3×#387—21no—
51C3×#387—21no—
52C3×#384C2211yescharacteristic
53C3×#382—21no—
54C3×C4×C4⋊C4—21no—
55C3×C4×C4⋊C4C2211yescharacteristic
56C3×C4×C4⋊C4C2211yescharacteristic
57C3×C4×C4⋊C4C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#464C2×C311yescharacteristic
63C2×#441C2×C311yescharacteristic, complemented
64#2545C2×C311yescharacteristic
65#2355C2×C311yescharacteristic, complemented
66#2056C2×C311yescharacteristic, complemented
67#2055C2×C311yescharacteristic
68#2016C2×C311yescharacteristic, complemented
69#2015C2×C311yescharacteristic
70#1983C2×C311yescharacteristic
71#1981C2×C311yescharacteristic, complemented
72#1959C2×C311yescharacteristic
73#1940C2×C311yescharacteristic, complemented
74#1927C2×C311yescharacteristic, complemented
75#1926C2×C311yescharacteristic
76#1803C2×C311yescharacteristic, complemented
77C22×C3×Q8C2311yescharacteristic
78C22×C3×Q8C2311yescharacteristic
79C22×C3×Q8C2311yescharacteristic
80C22×C3×D4C2311yescharacteristic
81C2×C3×Q16—22no—
82C2×C3×Q16—22no—
83C2×C3×Q16—22no—
84C2×C3×Q16—22no—
85C2×C3×Q16—41no—
86C2×C3×Q16—41no—
87C2×C3×SD16—22no—
88C2×C3×SD16—41no—
89C2×C3×SD16—41no—
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C22×C3×C8C2311yescharacteristic
94C3×C4⋊Q8—22no—
95C3×C4⋊Q8—41no—
96C3×#124—22no—
97C3×#124—22no—
98C3×#124—22no—
99C3×#124—41no—
100C3×C4×Q8—22no—
101C3×C4×Q8—22no—
102C3×C4×Q8—22no—
103C3×C4×Q8D414yes—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—21no—
107C2×C3×C4⋊C4—21no—
108C2×C3×C4⋊C4—21no—
109C2×C3×C4⋊C4—21no—
110C2×C3×C4⋊C4D411yescharacteristic
111C2×C3×C4⋊C4D411yescharacteristic
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C22⋊C4—21no—
117C2×C3×C22⋊C4—21no—
118C2×C3×C22⋊C4—21no—
119C2×C3×C22⋊C4—21no—
120C2×C3×C22⋊C4—21no—
121C2×C3×C22⋊C4—21no—
122C2×C3×C42—21no—
123C2×C3×C42—21no—
124C2×C3×C42—21no—
125C2×C3×C42—21no—
126C2×C3×C42C2311yescharacteristic
127C2×C3×C42C2311yescharacteristic
128C2×C3×C42C2311yescharacteristic
129C3×#106—22no—
130C3×C4⋊C8—22no—
131C3×C4⋊C8—41no—
132C3×C4⋊C8—41no—
133C3×#103—22no—
134C3×#103—22no—
135C3×#103—22no—
136C3×#103—22no—
137C3×#103—41no—
138C3×#103—41no—
139C3×#103—41no—
140C3×#102—22no—
141C3×#102—22no—
142C3×#102—41no—
143C3×#97—22no—
144C3×#95—21no—
145C3×#95—21no—
146C3×#95—21no—
147C3×#95—21no—
148C3×#95—21no—
149C3×#95—21no—
150C3×#95—21no—
151C3×#95—21no—
152C3×#95D411yescharacteristic
153C3×#95D411yescharacteristic
154C22×Q16C22×C311yescharacteristic
155C22×Q16C22×C311yescharacteristic
156C22×SD16C22×C311yescharacteristic
157C2×C4⋊Q8C22×C311yescharacteristic
158C2×#124C22×C311yescharacteristic
159C2×#124C22×C311yescharacteristic
160C2×C4×Q8C22×C311yescharacteristic
161C2×C4×Q8C22×C311yescharacteristic
162#464—24no—
163#441—24no—
164C2×#106C22×C311yescharacteristic
165C2×C4⋊C8C22×C311yescharacteristic
166C2×C4⋊C8C22×C311yescharacteristic
167C2×C4⋊C8C22×C311yescharacteristic
168C2×#103C22×C311yescharacteristic
169C2×#103C22×C311yescharacteristic
170C2×#103C22×C311yescharacteristic
171C2×#103C22×C311yescharacteristic
172C2×#103C22×C311yescharacteristic
173C2×#103C22×C311yescharacteristic
174C2×#103C22×C311yescharacteristic
175C2×#102C22×C311yescharacteristic
176C2×#102C22×C311yescharacteristic
177C2×#102C22×C311yescharacteristic
178C2×#97C22×C311yescharacteristic
179#396—21no—
180#396—21no—
181#391C22×C311yescharacteristic
182#391C22×C311yescharacteristic
183#391C22×C311yescharacteristic
184#390C22×C311yescharacteristic
185#388—21no—
186#388—21no—
187#387—21no—
188#387—21no—
189#384C22×C311yescharacteristic
190#382—21no—
191C4×C4⋊C4—21no—
192C4×C4⋊C4C22×C311yescharacteristic
193C4×C4⋊C4C22×C311yescharacteristic
194C4×C4⋊C4C22×C311yescharacteristic
195#340C22×C311yescharacteristic
196#340C22×C311yescharacteristic
197#336C22×C311yescharacteristic
198#336C22×C311yescharacteristic
199C24×C3—21no—
200C2×C3×Q8—21no—
201C2×C3×Q8—21no—
202C2×C3×Q8—21no—
203C2×C3×Q8—21no—
204C2×C3×Q8—21no—
205C2×C3×Q8—21no—
206C2×C3×Q8—21no—
207C2×C3×Q8—21no—
208C2×C3×Q8—21no—
209C2×C3×Q8—21no—
210C2×C3×Q8—21no—
211C2×C3×Q8—21no—
212C2×C3×Q8—21no—
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8C2×D412yes—
217C2×C3×Q8#4112yes—
218C2×C3×D4—21no—
219C2×C3×D4—21no—
220C2×C3×D4—21no—
221C2×C3×D4—21no—
222C2×C3×D4—21no—
223C2×C3×D4—21no—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4—21no—
229C22×C3×C4—21no—
230C22×C3×C4—21no—
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2×D411yescharacteristic
234C22×C3×C4C2×D411yescharacteristic
235C22×C3×C4C2×D411yescharacteristic
236C22×C3×C4C2×D411yescharacteristic
237C22×C3×C4C2411yescharacteristic
238C3×Q16—28no—
239C3×Q16—44no—
240C3×SD16—44no—
241C2×C3×C8—21no—
242C2×C3×C8—21no—
243C2×C3×C8—21no—
244C2×C3×C8—21no—
245C2×C3×C8—21no—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C2×C3×C8—21no—
251C2×C3×C8—21no—
252C2×C3×C8#4112yes—
253C3×C4⋊C4—24no—
254C3×C4⋊C4—22no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—41no—
263C3×C4⋊C4—42no—
264C3×C4⋊C4—42no—
265C3×C4⋊C4—42no—
266C3×C4⋊C4—42no—
267C3×C4⋊C4—81no—
268C3×C4⋊C4C2×D412yes—
269C3×C22⋊C4—42no—
270C3×C22⋊C4—42no—
271C3×C22⋊C4—42no—
272C3×C22⋊C4—42no—
273C3×C22⋊C4—42no—
274C3×C22⋊C4—42no—
275C3×C42—24no—
276C3×C42—21no—
277C3×C42—21no—
278C3×C42—21no—
279C3×C42—21no—
280C3×C42—42no—
281C3×C42—81no—
282C3×C42—81no—
283C3×C42C2×D412yes—
284C3×C42#4112yes—
285C22×Q8C23×C311yescharacteristic
286C22×Q8C23×C311yescharacteristic
287C22×Q8C23×C311yescharacteristic
288C22×D4C23×C311yescharacteristic
289C2×Q16—22no—
290C2×Q16—22no—
291C2×Q16—22no—
292C2×Q16—22no—
293C2×Q16—41no—
294C2×Q16—41no—
295C2×SD16—22no—
296C2×SD16—41no—
297C2×SD16—41no—
298C22×C8C23×C311yescharacteristic
299C22×C8C23×C311yescharacteristic
300C22×C8C23×C311yescharacteristic
301C22×C8C23×C311yescharacteristic
302C4⋊Q8—22no—
303C4⋊Q8—41no—
304#124—22no—
305#124—22no—
306#124—22no—
307#124—41no—
308C4×Q8—22no—
309C4×Q8—22no—
310C4×Q8—22no—
311C4×Q8C3×D414yes—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4C3×D411yescharacteristic
319C2×C4⋊C4C3×D411yescharacteristic
320C2×C4⋊C4C23×C311yescharacteristic
321C2×C4⋊C4C23×C311yescharacteristic
322C2×C4⋊C4C23×C311yescharacteristic
323C2×C4⋊C4C23×C311yescharacteristic
324C2×C22⋊C4—21no—
325C2×C22⋊C4—21no—
326C2×C22⋊C4—21no—
327C2×C22⋊C4—21no—
328C2×C22⋊C4—21no—
329C2×C22⋊C4—21no—
330C2×C42—21no—
331C2×C42—21no—
332C2×C42—21no—
333C2×C42—21no—
334C2×C42C23×C311yescharacteristic
335C2×C42C23×C311yescharacteristic
336C2×C42C23×C311yescharacteristic
337#106—22no—
338C4⋊C8—22no—
339C4⋊C8—41no—
340C4⋊C8—41no—
341#103—22no—
342#103—22no—
343#103—22no—
344#103—22no—
345#103—41no—
346#103—41no—
347#103—41no—
348#102—22no—
349#102—22no—
350#102—41no—
351#97—22no—
352#95—21no—
353#95—21no—
354#95—21no—
355#95—21no—
356#95—21no—
357#95—21no—
358#95—21no—
359#95—21no—
360#95C3×D411yescharacteristic
361#95C3×D411yescharacteristic
362C23×C3—41no—
363C23×C3—41no—
364C23×C3—41no—
365C23×C3—41no—
366C23×C3—41no—
367C23×C3—41no—
368C23×C3—41no—
369C23×C3C22×D411yescharacteristic
370C3×Q8—22no—
371C3×Q8—22no—
372C3×Q8—22no—
373C3×Q8—22no—
374C3×Q8—41no—
375C3×Q8—41no—
376C3×Q8—41no—
377C3×Q8—41no—
378C3×Q8—41no—
379C3×Q8—41no—
380C3×Q8—41no—
381C3×Q8—41no—
382C3×D4—41no—
383C3×D4—41no—
384C3×D4—41no—
385C3×D4—41no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—22no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—21no—
401C2×C3×C4—21no—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4#12112yes—
423C2×C3×C4#12112yes—
424C2×C3×C4#13712yes—
425C2×C3×C4C22×D411yescharacteristic
426C2×C3×C4C2×#4111yescharacteristic
427C2×C3×C4C2×#4111yescharacteristic
428C2×C3×C4C2×#4111yescharacteristic
429C2×C3×C4H(5,𝔽2)11yescharacteristic
430C2×C3×C4H(5,𝔽2)11yescharacteristic
431C3×C8—22no—
432C3×C8—41no—
433C3×C8—41no—
434C3×C8—41no—
435C24—21no—
436C2×Q8—21no—
437C2×Q8—21no—
438C2×Q8—21no—
439C2×Q8—21no—
440C2×Q8—21no—
441C2×Q8—21no—
442C2×Q8—21no—
443C2×Q8—21no—
444C2×Q8—21no—
445C2×Q8—21no—
446C2×Q8—21no—
447C2×Q8—21no—
448C2×Q8—21no—
449C2×Q8—21no—
450C2×Q8—21no—
451C2×Q8—21no—
452C2×Q8C2×C3×D412yes—
453C2×Q8C3×#4112yes—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4C2×C3×D411yescharacteristic
468C22×C4C2×C3×D411yescharacteristic
469C22×C4C2×C3×D411yescharacteristic
470C22×C4C2×C3×D411yescharacteristic
471C22×C4C2×C3×D411yescharacteristic
472C22×C4C2×C3×D411yescharacteristic
473C22×C4C24×C311yescharacteristic
474Q16—28no—
475Q16—44no—
476SD16—44no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8C3×#4112yes—
489C4⋊C4—24no—
490C4⋊C4—22no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—41no—
499C4⋊C4—42no—
500C4⋊C4—42no—
501C4⋊C4—42no—
502C4⋊C4—42no—
503C4⋊C4—81no—
504C4⋊C4C2×C3×D412yes—
505C22⋊C4—42no—
506C22⋊C4—42no—
507C22⋊C4—42no—
508C22⋊C4—42no—
509C22⋊C4—42no—
510C22⋊C4—42no—
511C42—24no—
512C42—21no—
513C42—21no—
514C42—21no—
515C42—21no—
516C42—42no—
517C42—81no—
518C42—81no—
519C42C2×C3×D412yes—
520C42C3×#4112yes—
521C22×C3—81no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—81no—
525C22×C3—81no—
526C22×C3—81no—
527C22×C3—81no—
528C22×C3C2×#12111yescharacteristic
529C22×C3#54611yescharacteristic
530C22×C3#55011yescharacteristic
531C22×C3C2×#13711yescharacteristic
532C22×C3#57511yescharacteristic
533C22×C3#57711yescharacteristic
534C22×C3#57811yescharacteristic
535C3×C4—22no—
536C3×C4—22no—
537C3×C4—22no—
538C3×C4—42no—
539C3×C4—42no—
540C3×C4—42no—
541C3×C4—41no—
542C3×C4—41no—
543C3×C4—41no—
544C3×C4—81no—
545C3×C4—81no—
546C3×C4—81no—
547C3×C4—81no—
548C3×C4#52511yescharacteristic
549C3×C4#53511yescharacteristic
550C3×C4#55311yescharacteristic
551C3×C4#55511yescharacteristic
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23C22×C3×D411yescharacteristic
560Q8—22no—
561Q8—22no—
562Q8—22no—
563Q8—22no—
564Q8—41no—
565Q8—41no—
566Q8—41no—
567Q8—41no—
568Q8—41no—
569Q8—41no—
570Q8—41no—
571Q8—41no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—22no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4C3×#12112yes—
613C2×C4C3×#12112yes—
614C2×C4C3×#13712yes—
615C2×C4C22×C3×D411yescharacteristic
616C2×C4C2×C3×#4111yescharacteristic
617C2×C4C2×C3×#4111yescharacteristic
618C2×C4C2×C3×#4111yescharacteristic
619C2×C4C3×H(5,𝔽2)11yescharacteristic
620C2×C4C3×H(5,𝔽2)11yescharacteristic
621C8—22no—
622C8—41no—
623C8—41no—
624C8—41no—
625C2×C3—161no—
626C2×C3#241411yescharacteristic
627C2×C3#303711yescharacteristic
628C2×C3#304611yescharacteristic
629C2×C3#331311yescharacteristic
630C2×C3#331611yescharacteristic
631C2×C3#339811yescharacteristic
632C2×C3#340111yescharacteristic
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22C2×C3×#12111yescharacteristic
641C22C3×#54611yescharacteristic
642C22C3×#55011yescharacteristic
643C22C2×C3×#13711yescharacteristic
644C22C3×#57511yescharacteristic
645C22C3×#57711yescharacteristic
646C22C3×#57811yescharacteristic
647C4—22no—
648C4—22no—
649C4—22no—
650C4—42no—
651C4—42no—
652C4—42no—
653C4—41no—
654C4—41no—
655C4—41no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4C3×#52511yescharacteristic
661C4C3×#53511yescharacteristic
662C4C3×#55311yescharacteristic
663C4C3×#55511yescharacteristic
664C3#2464111yescharacteristic, direct product factor, Sylow
665C2—161no—
666C2C3×#241411yescharacteristic
667C2C3×#303711yescharacteristic
668C2C3×#304611yescharacteristic
669C2C3×#331311yescharacteristic
670C2C3×#331611yescharacteristic
671C2C3×#339811yescharacteristic
672C2C3×#340111yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×#441C2semidirect
4. C3×#2355C2semidirect
5. C3×#2056C2semidirect
7. C3×#2016C2semidirect
10. C3×#1981C2semidirect
12. C3×#1940C2semidirect
13. C3×#1927C2semidirect
15. C3×#1803C2semidirect
16. #24641C3direct (N × H)
63. C2×#441C2×C3semidirect
65. #2355C2×C3semidirect
66. #2056C2×C3semidirect
68. #2016C2×C3semidirect
71. #1981C2×C3semidirect
73. #1940C2×C3semidirect
74. #1927C2×C3semidirect
76. #1803C2×C3semidirect
664. C3#24641direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4642
C2×C3×#4412
C3×#25452
C3×#23552
C3×#20562
C3×#20552
C3×#20162
C3×#20152
C3×#19832
C3×#19812
C3×#19592
C3×#19402
C3×#19272
C3×#19262
C3×#18032
#246413