Finite Group Databasebeta

← C3×#24688 #10643295

Subgroups — C3×#24688 #10643295

Order 768.

856 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#478C211yesmaximal, characteristic, complemented
2C2×C3×#442C211yesmaximal, characteristic
3C3×#2566C211yesmaximal, characteristic, complemented
4C3×#2354C211yesmaximal, characteristic, complemented
5C3×#2073C211yesmaximal, characteristic, complemented
6C3×#2071C211yesmaximal, characteristic, complemented
7C3×#2054C211yesmaximal, characteristic
8C3×#2054C211yesmaximal, characteristic
9C3×#1992C211yesmaximal, characteristic, complemented
10C3×#1949C211yesmaximal, characteristic, complemented
11C3×#1948C211yesmaximal, characteristic, complemented
12C3×#1940C211yesmaximal, characteristic, complemented
13C3×#1926C211yesmaximal, characteristic, complemented
14C3×#1925C211yesmaximal, characteristic, complemented
15C3×#1802C211yesmaximal, characteristic, complemented
16#24688C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×D8C2211yescharacteristic
18C2×C3×#125C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×#117—21no—
22C3×#478—24no—
23C3×#442—24no—
24C2×C3×#107C2211yescharacteristic
25C2×C3×#106C2211yescharacteristic
26C2×C3×#106C2211yescharacteristic
27C2×C3×C4⋊C8C2211yescharacteristic
28C2×C3×C4⋊C8C2211yescharacteristic
29C2×C3×C4⋊C8C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#97C2211yescharacteristic
37C3×#396—21no—
38C3×#396—21no—
39C3×#390C2211yescharacteristic
40C3×#390C2211yescharacteristic
41C3×#390C2211yescharacteristic
42C3×#390C2211yescharacteristic
43C3×#388—21no—
44C3×#388—21no—
45C3×#385—21no—
46C3×#385—21no—
47C3×#384C2211yescharacteristic
48C3×#384C2211yescharacteristic
49C3×#382C2211yescharacteristic
50C3×#380—21no—
51C3×C4×C4⋊C4C2211yescharacteristic
52C3×C4×C4⋊C4C2211yescharacteristic
53C3×C4×C4⋊C4C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#478C2×C311yescharacteristic, complemented
63C2×#442C2×C311yescharacteristic
64#2566C2×C311yescharacteristic, complemented
65#2354C2×C311yescharacteristic, complemented
66#2073C2×C311yescharacteristic, complemented
67#2071C2×C311yescharacteristic, complemented
68#2054C2×C311yescharacteristic
69#2054C2×C311yescharacteristic
70#1992C2×C311yescharacteristic, complemented
71#1949C2×C311yescharacteristic, complemented
72#1948C2×C311yescharacteristic, complemented
73#1940C2×C311yescharacteristic, complemented
74#1926C2×C311yescharacteristic, complemented
75#1925C2×C311yescharacteristic, complemented
76#1802C2×C311yescharacteristic, complemented
77C22×C3×D4C2311yescharacteristic
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4—21no—
81C2×C3×D8—22no—
82C2×C3×D8—22no—
83C2×C3×D8—22no—
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C3×#125—22no—
89C3×#125—22no—
90C3×C4×D4—22no—
91C3×C4×D4—22no—
92C3×C4×D4—22no—
93C3×C4×D4D414yes—
94C3×#117—44no—
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⋊C4—21no—
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×C42—21no—
120C2×C3×C42—21no—
121C2×C3×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C2×C3×C42C2311yescharacteristic
124C3×#107—22no—
125C3×#106—22no—
126C3×#106—22no—
127C3×C4⋊C8—22no—
128C3×C4⋊C8—22no—
129C3×C4⋊C8—22no—
130C3×#102—22no—
131C3×#102—22no—
132C3×#102—22no—
133C3×#102—22no—
134C3×#102—22no—
135C3×#102—22no—
136C3×#97—22no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95D411yescharacteristic
142C3×#95D411yescharacteristic
143C22×D8C22×C311yescharacteristic
144C2×#125C22×C311yescharacteristic
145C2×C4×D4C22×C311yescharacteristic
146C2×C4×D4C22×C311yescharacteristic
147C2×#117—21no—
148#478—24no—
149#442—24no—
150C2×#107C22×C311yescharacteristic
151C2×#106C22×C311yescharacteristic
152C2×#106C22×C311yescharacteristic
153C2×C4⋊C8C22×C311yescharacteristic
154C2×C4⋊C8C22×C311yescharacteristic
155C2×C4⋊C8C22×C311yescharacteristic
156C2×#102C22×C311yescharacteristic
157C2×#102C22×C311yescharacteristic
158C2×#102C22×C311yescharacteristic
159C2×#102C22×C311yescharacteristic
160C2×#102C22×C311yescharacteristic
161C2×#102C22×C311yescharacteristic
162C2×#97C22×C311yescharacteristic
163#396—21no—
164#396—21no—
165#390C22×C311yescharacteristic
166#390C22×C311yescharacteristic
167#390C22×C311yescharacteristic
168#390C22×C311yescharacteristic
169#388—21no—
170#388—21no—
171#385—21no—
172#385—21no—
173#384C22×C311yescharacteristic
174#384C22×C311yescharacteristic
175#382C22×C311yescharacteristic
176#380—21no—
177C4×C4⋊C4C22×C311yescharacteristic
178C4×C4⋊C4C22×C311yescharacteristic
179C4×C4⋊C4C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#340C22×C311yescharacteristic
182#340C22×C311yescharacteristic
183#340C22×C311yescharacteristic
184#340C22×C311yescharacteristic
185#340C22×C311yescharacteristic
186#336C22×C311yescharacteristic
187#336C22×C311yescharacteristic
188C24×C3—21no—
189C24×C3—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×D4—21no—
200C2×C3×D4C2×D412yes—
201C2×C3×D4#4112yes—
202C22×C3×C4—21no—
203C22×C3×C4—24no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—42no—
210C22×C3×C4—42no—
211C22×C3×C4—42no—
212C22×C3×C4—81no—
213C22×C3×C4—81no—
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2411yescharacteristic
221C3×D8—28no—
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—21no—
233C2×C3×C8#4112yes—
234C3×C4⋊C4—22no—
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—21no—
246C3×C4⋊C4—41no—
247C3×C4⋊C4—42no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4—42no—
250C3×C4⋊C4—81no—
251C3×C4⋊C4—81no—
252C3×C4⋊C4—81no—
253C3×C4⋊C4C2×D412yes—
254C3×C22⋊C4—24no—
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—42no—
269C3×C42—42no—
270C3×C42C2×D412yes—
271C3×C42#4112yes—
272C22×D4C23×C311yescharacteristic
273C22×D4C23×C311yescharacteristic
274C23×C4—21no—
275C23×C4—21no—
276C2×D8—22no—
277C2×D8—22no—
278C2×D8—22no—
279C22×C8C23×C311yescharacteristic
280C22×C8C23×C311yescharacteristic
281C22×C8C23×C311yescharacteristic
282C22×C8C23×C311yescharacteristic
283#125—22no—
284#125—22no—
285C4×D4—22no—
286C4×D4—22no—
287C4×D4—22no—
288C4×D4C3×D414yes—
289#117—44no—
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⋊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×C42—21no—
315C2×C42—21no—
316C2×C42C23×C311yescharacteristic
317C2×C42C23×C311yescharacteristic
318C2×C42C23×C311yescharacteristic
319#107—22no—
320#106—22no—
321#106—22no—
322C4⋊C8—22no—
323C4⋊C8—22no—
324C4⋊C8—22no—
325#102—22no—
326#102—22no—
327#102—22no—
328#102—22no—
329#102—22no—
330#102—22no—
331#97—22no—
332#95—21no—
333#95—21no—
334#95—21no—
335#95—21no—
336#95C3×D411yescharacteristic
337#95C3×D411yescharacteristic
338C23×C3—22no—
339C23×C3—22no—
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×C3—41no—
351C23×C3—41no—
352C23×C3C22×D411yescharacteristic
353C3×D4—22no—
354C3×D4—22no—
355C3×D4—22no—
356C3×D4—22no—
357C3×D4—41no—
358C3×D4—41no—
359C3×D4—41no—
360C3×D4—41no—
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—22no—
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—48no—
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#12112yes—
397C2×C3×C4#12112yes—
398C2×C3×C4AGL(1,ℤ/8)12yes—
399C2×C3×C4C22×D411yescharacteristic
400C2×C3×C4C2×#4111yescharacteristic
401C2×C3×C4C2×#4111yescharacteristic
402C2×C3×C4C2×#4111yescharacteristic
403C2×C3×C42−1+411yescharacteristic
404C2×C3×C42−1+411yescharacteristic
405C3×C8—22no—
406C3×C8—41no—
407C3×C8—41no—
408C3×C8—41no—
409C24—21no—
410C24—21no—
411C2×D4—21no—
412C2×D4—21no—
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×D4C2×C3×D412yes—
422C2×D4C3×#4112yes—
423C22×C4—21no—
424C22×C4—24no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—42no—
431C22×C4—42no—
432C22×C4—42no—
433C22×C4—81no—
434C22×C4—81no—
435C22×C4C2×C3×D411yescharacteristic
436C22×C4C2×C3×D411yescharacteristic
437C22×C4C2×C3×D411yescharacteristic
438C22×C4C2×C3×D411yescharacteristic
439C22×C4C2×C3×D411yescharacteristic
440C22×C4C2×C3×D411yescharacteristic
441C22×C4C24×C311yescharacteristic
442D8—28no—
443C2×C8—21no—
444C2×C8—21no—
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×C8C3×#4112yes—
455C4⋊C4—22no—
456C4⋊C4—21no—
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—41no—
468C4⋊C4—42no—
469C4⋊C4—42no—
470C4⋊C4—42no—
471C4⋊C4—81no—
472C4⋊C4—81no—
473C4⋊C4—81no—
474C4⋊C4C2×C3×D412yes—
475C22⋊C4—24no—
476C22⋊C4—42no—
477C22⋊C4—42no—
478C22⋊C4—42no—
479C22⋊C4—42no—
480C22⋊C4—42no—
481C22⋊C4—81no—
482C22⋊C4—81no—
483C22⋊C4—81no—
484C22⋊C4—81no—
485C42—21no—
486C42—21no—
487C42—21no—
488C42—21no—
489C42—42no—
490C42—42no—
491C42C2×C3×D412yes—
492C42C3×#4112yes—
493C22×C3—42no—
494C22×C3—42no—
495C22×C3—42no—
496C22×C3—42no—
497C22×C3—42no—
498C22×C3—42no—
499C22×C3—81no—
500C22×C3—81no—
501C22×C3—81no—
502C22×C3—81no—
503C22×C3—81no—
504C22×C3—81no—
505C22×C3—81no—
506C22×C3—81no—
507C22×C3C2×#12111yescharacteristic
508C22×C3#54711yescharacteristic
509C22×C3#54811yescharacteristic
510C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
511C22×C3#57511yescharacteristic
512C22×C3#57611yescharacteristic
513C22×C3#57711yescharacteristic
514C3×C4—22no—
515C3×C4—22no—
516C3×C4—22no—
517C3×C4—41no—
518C3×C4—41no—
519C3×C4—41no—
520C3×C4—42no—
521C3×C4—81no—
522C3×C4—81no—
523C3×C4—81no—
524C3×C4—81no—
525C3×C4—81no—
526C3×C4#52511yescharacteristic
527C3×C4#53611yescharacteristic
528C3×C4#55211yescharacteristic
529C3×C4#55611yescharacteristic
530C23—22no—
531C23—22no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23C22×C3×D411yescharacteristic
545D4—22no—
546D4—22no—
547D4—22no—
548D4—22no—
549D4—41no—
550D4—41no—
551D4—41no—
552D4—41no—
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—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—48no—
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×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—84no—
588C2×C4C3×#12112yes—
589C2×C4C3×#12112yes—
590C2×C4C3×AGL(1,ℤ/8)12yes—
591C2×C4C22×C3×D411yescharacteristic
592C2×C4C2×C3×#4111yescharacteristic
593C2×C4C2×C3×#4111yescharacteristic
594C2×C4C2×C3×#4111yescharacteristic
595C2×C4C3×2−1+411yescharacteristic
596C2×C4C3×2−1+411yescharacteristic
597C8—22no—
598C8—41no—
599C8—41no—
600C8—41no—
601C2×C3—82no—
602C2×C3—82no—
603C2×C3#241511yescharacteristic
604C2×C3#303611yescharacteristic
605C2×C3#304511yescharacteristic
606C2×C3#334511yescharacteristic
607C2×C3#334711yescharacteristic
608C2×C3#336611yescharacteristic
609C2×C3#337611yescharacteristic
610C22—42no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22—42no—
615C22—42no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22C2×C3×#12111yescharacteristic
625C22C3×#54711yescharacteristic
626C22C3×#54811yescharacteristic
627C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
628C22C3×#57511yescharacteristic
629C22C3×#57611yescharacteristic
630C22C3×#57711yescharacteristic
631C4—22no—
632C4—22no—
633C4—22no—
634C4—42no—
635C4—41no—
636C4—41no—
637C4—41no—
638C4—81no—
639C4—81no—
640C4—81no—
641C4—81no—
642C4—81no—
643C4C3×#52511yescharacteristic
644C4C3×#53611yescharacteristic
645C4C3×#55211yescharacteristic
646C4C3×#55611yescharacteristic
647C3#2468811yescharacteristic, direct product factor, Sylow
648C2—82no—
649C2—82no—
650C2C3×#241511yescharacteristic
651C2C3×#303611yescharacteristic
652C2C3×#304511yescharacteristic
653C2C3×#334511yescharacteristic
654C2C3×#334711yescharacteristic
655C2C3×#336611yescharacteristic
656C2C3×#337611yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D8C22
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
1. C2×C3×#478C2semidirect
3. C3×#2566C2semidirect
4. C3×#2354C2semidirect
5. C3×#2073C2semidirect
6. C3×#2071C2semidirect
9. C3×#1992C2semidirect
10. C3×#1949C2semidirect
11. C3×#1948C2semidirect
12. C3×#1940C2semidirect
13. C3×#1926C2semidirect
14. C3×#1925C2semidirect
15. C3×#1802C2semidirect
16. #24688C3direct (N × H)
62. C2×#478C2×C3semidirect
64. #2566C2×C3semidirect
65. #2354C2×C3semidirect
66. #2073C2×C3semidirect
67. #2071C2×C3semidirect
70. #1992C2×C3semidirect
71. #1949C2×C3semidirect
72. #1948C2×C3semidirect
73. #1940C2×C3semidirect
74. #1926C2×C3semidirect
75. #1925C2×C3semidirect
76. #1802C2×C3semidirect
647. C3#24688direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4782
C2×C3×#4422
C3×#25662
C3×#23542
C3×#20732
C3×#20712
C3×#20542
C3×#19922
C3×#19492
C3×#19482
C3×#19402
C3×#19262
C3×#19252
C3×#18022
#246883