Finite Group Databasebeta

← C3×#14766 #10633373

Subgroups — C3×#14766 #10633373

Order 768.

1938 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#398C211yesmaximal, characteristic, complemented
2C2×C3×#385C211yesmaximal, characteristic
3C2×C3×#380C211yesmaximal, characteristic
4C2×C3×#380C212yesmaximal
5C22×C3×#95C211yesmaximal, characteristic
6C3×#1445C211yesmaximal, characteristic, complemented
7C3×#1444C211yesmaximal, characteristic, complemented
8C3×#1442C212yesmaximal, complemented
9C3×#1441C212yesmaximal, complemented
10C3×#1441C211yesmaximal, characteristic, complemented
11C3×C22⋊#95C212yesmaximal
12#14766C311yesmaximal, characteristic, direct product factor, Sylow
13C24×C3×C4C2211yescharacteristic
14C24×C3×C4C2212yes—
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×C3×C4⋊C4C2211yescharacteristic
17C22×C3×C4⋊C4C2212yes—
18C22×C3×C4⋊C4C2212yes—
19C22×C3×C4⋊C4C2211yescharacteristic
20C22×C3×C4⋊C4C2211yescharacteristic
21C22×C3×C22⋊C4C2212yes—
22C22×C3×C22⋊C4C2211yescharacteristic
23C22×C3×C22⋊C4C2211yescharacteristic
24C3×#398—24no—
25C3×#385—24no—
26C3×#380—24no—
27C3×#380—28no—
28C2×C3×#95—24no—
29C2×C3×#95C2212yes—
30C2×C3×#95C2212yes—
31C2×C3×#95C2211yescharacteristic
32C2×C3×#95C2212yes—
33C2×C3×#95C2212yes—
34C2×C3×#95C2212yes—
35C2×C3×#95C2211yescharacteristic
36C2×C3×#95C2211yescharacteristic
37C2×C3×#95C2212yes—
38C2×C3×#95C2212yes—
39C2×C3×#95C2212yes—
40C2×C3×#95C2211yescharacteristic
41C2×#398C2×C311yescharacteristic, complemented
42C2×#385C2×C311yescharacteristic
43C2×#380C2×C311yescharacteristic
44C2×#380C2×C312yes—
45C22×#95C2×C311yescharacteristic
46#1445C2×C311yescharacteristic, complemented
47#1444C2×C311yescharacteristic, complemented
48#1442C2×C312yescomplemented
49#1441C2×C311yescharacteristic, complemented
50#1441C2×C312yescomplemented
51C22⋊#95C2×C312yes—
52C25×C3C2311yescharacteristic
53C23×C3×C4—24no—
54C23×C3×C4—24no—
55C23×C3×C4—24no—
56C23×C3×C4—22no—
57C23×C3×C4—24no—
58C23×C3×C4—22no—
59C23×C3×C4—24no—
60C23×C3×C4—42no—
61C23×C3×C4—42no—
62C23×C3×C4—42no—
63C23×C3×C4D414yes—
64C23×C3×C4Q818yes—
65C23×C3×C4C2311yescharacteristic
66C23×C3×C4C2311yescharacteristic
67C23×C3×C4C2312yes—
68C23×C3×C4C2312yes—
69C23×C3×C4C2311yescharacteristic
70C23×C3×C4C2311yescharacteristic
71C23×C3×C4C2311yescharacteristic
72C23×C3×C4C2312yes—
73C23×C3×C4C2311yescharacteristic
74C23×C3×C4C2312yes—
75C2×C3×C4⋊C4—24no—
76C2×C3×C4⋊C4—24no—
77C2×C3×C4⋊C4—22no—
78C2×C3×C4⋊C4—22no—
79C2×C3×C4⋊C4—22no—
80C2×C3×C4⋊C4—22no—
81C2×C3×C4⋊C4—24no—
82C2×C3×C4⋊C4—22no—
83C2×C3×C4⋊C4—22no—
84C2×C3×C4⋊C4—24no—
85C2×C3×C4⋊C4—22no—
86C2×C3×C4⋊C4—22no—
87C2×C3×C4⋊C4—42no—
88C2×C3×C4⋊C4—42no—
89C2×C3×C4⋊C4—42no—
90C2×C3×C4⋊C4—42no—
91C2×C3×C22⋊C4—22no—
92C2×C3×C22⋊C4—22no—
93C2×C3×C22⋊C4—24no—
94C2×C3×C22⋊C4—24no—
95C2×C3×C22⋊C4—22no—
96C2×C3×C22⋊C4—24no—
97C2×C3×C22⋊C4—24no—
98C2×C3×C22⋊C4D414yes—
99C3×#95—22no—
100C3×#95—24no—
101C3×#95—24no—
102C3×#95—24no—
103C3×#95—24no—
104C3×#95—22no—
105C3×#95—22no—
106C3×#95—24no—
107C3×#95—24no—
108C3×#95—42no—
109C3×#95—42no—
110C3×#95D414yes—
111C24×C4C22×C311yescharacteristic
112C24×C4C22×C312yes—
113C22×C4⋊C4C22×C311yescharacteristic
114C22×C4⋊C4C22×C311yescharacteristic
115C22×C4⋊C4C22×C312yes—
116C22×C4⋊C4C22×C312yes—
117C22×C4⋊C4C22×C311yescharacteristic
118C22×C4⋊C4C22×C311yescharacteristic
119C22×C22⋊C4C22×C311yescharacteristic
120C22×C22⋊C4C22×C312yes—
121C22×C22⋊C4C22×C311yescharacteristic
122#398—24no—
123#385—24no—
124#380—24no—
125#380—28no—
126C2×#95—24no—
127C2×#95C22×C312yes—
128C2×#95C22×C312yes—
129C2×#95C22×C312yes—
130C2×#95C22×C312yes—
131C2×#95C22×C312yes—
132C2×#95C22×C311yescharacteristic
133C2×#95C22×C312yes—
134C2×#95C22×C311yescharacteristic
135C2×#95C22×C311yescharacteristic
136C2×#95C22×C312yes—
137C2×#95C22×C312yes—
138C2×#95C22×C311yescharacteristic
139C24×C3—21no—
140C24×C3—21no—
141C24×C3—22no—
142C24×C3—22no—
143C24×C3—21no—
144C24×C3—21no—
145C24×C3C2×D412yes—
146C24×C3C2×D412yes—
147C24×C3C2×Q814yes—
148C24×C3#4112yes—
149C24×C3#4114yes—
150C24×C3C2411yescharacteristic
151C22×C3×C4—22no—
152C22×C3×C4—22no—
153C22×C3×C4—22no—
154C22×C3×C4—22no—
155C22×C3×C4—22no—
156C22×C3×C4—22no—
157C22×C3×C4—216no—
158C22×C3×C4—28no—
159C22×C3×C4—21no—
160C22×C3×C4—22no—
161C22×C3×C4—22no—
162C22×C3×C4—21no—
163C22×C3×C4—21no—
164C22×C3×C4—21no—
165C22×C3×C4—21no—
166C22×C3×C4—21no—
167C22×C3×C4—22no—
168C22×C3×C4—21no—
169C22×C3×C4—21no—
170C22×C3×C4—22no—
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—21no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—21no—
179C22×C3×C4—28no—
180C22×C3×C4—216no—
181C22×C3×C4—21no—
182C22×C3×C4—21no—
183C22×C3×C4—22no—
184C22×C3×C4—22no—
185C22×C3×C4—22no—
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—21no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—22no—
192C22×C3×C4—22no—
193C22×C3×C4—22no—
194C22×C3×C4—22no—
195C22×C3×C4—22no—
196C22×C3×C4—21no—
197C22×C3×C4—22no—
198C22×C3×C4—21no—
199C22×C3×C4—22no—
200C22×C3×C4—22no—
201C22×C3×C4—22no—
202C22×C3×C4—22no—
203C22×C3×C4—22no—
204C22×C3×C4—21no—
205C22×C3×C4—44no—
206C22×C3×C4—48no—
207C22×C3×C4—48no—
208C22×C3×C4—48no—
209C22×C3×C4—48no—
210C22×C3×C4—48no—
211C22×C3×C4—48no—
212C22×C3×C4—48no—
213C22×C3×C4C2×D412yes—
214C22×C3×C4C2×D412yes—
215C22×C3×C4C2×D412yes—
216C22×C3×C4C2×D412yes—
217C22×C3×C4C2×D412yes—
218C22×C3×C4C2×D414yes—
219C22×C3×C4C2×Q814yes—
220C22×C3×C4C2×Q814yes—
221C22×C3×C4#4112yes—
222C22×C3×C4#4114yes—
223C3×C4⋊C4—48no—
224C3×C4⋊C4—48no—
225C3×C4⋊C4—44no—
226C3×C4⋊C4—44no—
227C3×C4⋊C4—44no—
228C3×C4⋊C4—44no—
229C3×C22⋊C4—28no—
230C3×C22⋊C4—48no—
231C3×C22⋊C4—44no—
232C25C23×C311yescharacteristic
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—22no—
237C23×C4—24no—
238C23×C4—22no—
239C23×C4—24no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4C3×D414yes—
244C23×C4C3×Q818yes—
245C23×C4C23×C311yescharacteristic
246C23×C4C23×C312yes—
247C23×C4C23×C312yes—
248C23×C4C23×C311yescharacteristic
249C23×C4C23×C311yescharacteristic
250C23×C4C23×C311yescharacteristic
251C23×C4C23×C311yescharacteristic
252C23×C4C23×C312yes—
253C23×C4C23×C311yescharacteristic
254C23×C4C23×C312yes—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—42no—
268C2×C4⋊C4—42no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4—42no—
271C2×C22⋊C4—22no—
272C2×C22⋊C4—22no—
273C2×C22⋊C4—24no—
274C2×C22⋊C4—24no—
275C2×C22⋊C4—22no—
276C2×C22⋊C4—24no—
277C2×C22⋊C4—24no—
278C2×C22⋊C4C3×D414yes—
279#95—22no—
280#95—24no—
281#95—24no—
282#95—24no—
283#95—24no—
284#95—22no—
285#95—22no—
286#95—24no—
287#95—24no—
288#95—42no—
289#95—42no—
290#95C3×D414yes—
291C23×C3—22no—
292C23×C3—24no—
293C23×C3—22no—
294C23×C3—24no—
295C23×C3—22no—
296C23×C3—22no—
297C23×C3—24no—
298C23×C3—24no—
299C23×C3—22no—
300C23×C3—24no—
301C23×C3—24no—
302C23×C3—22no—
303C23×C3—22no—
304C23×C3—24no—
305C23×C3—24no—
306C23×C3—24no—
307C23×C3—22no—
308C23×C3—24no—
309C23×C3#12114yes—
310C23×C3C22⋊Q818yes—
311C23×C3#12314yes—
312C23×C3#12518yes—
313C23×C3C4⋊Q814yes—
314C23×C3C22×D411yescharacteristic
315C23×C3C22×D411yescharacteristic
316C23×C3C22×D411yescharacteristic
317C23×C3C22×Q812yes—
318C23×C3C2×#4111yescharacteristic
319C23×C3C2×#4111yescharacteristic
320C23×C3C2×#4112yes—
321C23×C3C2×#4112yes—
322C23×C3H(5,𝔽2)12yes—
323C23×C3H(5,𝔽2)11yescharacteristic
324C23×C32−1+411yescharacteristic
325C2×C3×C4—24no—
326C2×C3×C4—22no—
327C2×C3×C4—22no—
328C2×C3×C4—24no—
329C2×C3×C4—24no—
330C2×C3×C4—24no—
331C2×C3×C4—24no—
332C2×C3×C4—24no—
333C2×C3×C4—24no—
334C2×C3×C4—24no—
335C2×C3×C4—22no—
336C2×C3×C4—22no—
337C2×C3×C4—22no—
338C2×C3×C4—24no—
339C2×C3×C4—24no—
340C2×C3×C4—22no—
341C2×C3×C4—22no—
342C2×C3×C4—24no—
343C2×C3×C4—22no—
344C2×C3×C4—24no—
345C2×C3×C4—22no—
346C2×C3×C4—416no—
347C2×C3×C4—432no—
348C2×C3×C4—41no—
349C2×C3×C4—41no—
350C2×C3×C4—41no—
351C2×C3×C4—41no—
352C2×C3×C4—42no—
353C2×C3×C4—42no—
354C2×C3×C4—42no—
355C2×C3×C4—42no—
356C2×C3×C4—41no—
357C2×C3×C4—42no—
358C2×C3×C4—42no—
359C2×C3×C4—41no—
360C2×C3×C4—42no—
361C2×C3×C4—42no—
362C2×C3×C4—42no—
363C2×C3×C4—41no—
364C2×C3×C4—42no—
365C2×C3×C4—41no—
366C2×C3×C4—41no—
367C2×C3×C4—41no—
368C2×C3×C4—42no—
369C2×C3×C4—41no—
370C2×C3×C4—42no—
371C2×C3×C4—42no—
372C2×C3×C4—41no—
373C2×C3×C4—42no—
374C2×C3×C4—42no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—42no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4—42no—
385C2×C3×C4#12114yes—
386C2×C3×C4C22⋊Q818yes—
387C24—21no—
388C24—21no—
389C24—22no—
390C24—22no—
391C24—21no—
392C24—21no—
393C24C2×C3×D412yes—
394C24C2×C3×D412yes—
395C24C2×C3×Q814yes—
396C24C3×#4112yes—
397C24C3×#4114yes—
398C24C24×C311yescharacteristic
399C22×C4—22no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4—216no—
406C22×C4—28no—
407C22×C4—21no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—22no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—21no—
427C22×C4—28no—
428C22×C4—216no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—21no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—44no—
454C22×C4—48no—
455C22×C4—48no—
456C22×C4—48no—
457C22×C4—48no—
458C22×C4—48no—
459C22×C4—48no—
460C22×C4—48no—
461C22×C4C2×C3×D412yes—
462C22×C4C2×C3×D412yes—
463C22×C4C2×C3×D412yes—
464C22×C4C2×C3×D412yes—
465C22×C4C2×C3×D412yes—
466C22×C4C2×C3×D414yes—
467C22×C4C2×C3×Q814yes—
468C22×C4C2×C3×Q814yes—
469C22×C4C3×#4112yes—
470C22×C4C3×#4114yes—
471C4⋊C4—48no—
472C4⋊C4—48no—
473C4⋊C4—44no—
474C4⋊C4—44no—
475C4⋊C4—44no—
476C4⋊C4—44no—
477C22⋊C4—28no—
478C22⋊C4—48no—
479C22⋊C4—44no—
480C22×C3—28no—
481C22×C3—24no—
482C22×C3—24no—
483C22×C3—24no—
484C22×C3—24no—
485C22×C3—28no—
486C22×C3—28no—
487C22×C3—28no—
488C22×C3—24no—
489C22×C3—24no—
490C22×C3#39818yescomplemented
491C22×C3C2×#12111yescharacteristic
492C22×C3C2×#12111yescharacteristic
493C22×C3C2×C22⋊Q812yes—
494C22×C3C2×C22⋊Q812yes—
495C22×C3C2×#12311yescharacteristic
496C22×C3C2×#12512yes—
497C22×C3C2×C4⋊Q811yescharacteristic
498C22×C3#53211yescharacteristic
499C22×C3#53312yes—
500C22×C3#53411yescharacteristic
501C22×C3#53711yescharacteristic
502C22×C3#54312yes—
503C22×C3#54412yes—
504C22×C3D4211yescharacteristic
505C22×C3#54612yes—
506C22×C3#54612yes—
507C22×C3#54711yescharacteristic
508C22×C3#54811yescharacteristic
509C22×C3#55112yes—
510C22×C3#55112yes—
511C22×C3#55212yes—
512C22×C3#55311yescharacteristic
513C22×C3#55312yes—
514C3×C4—24no—
515C3×C4—28no—
516C3×C4—42no—
517C3×C4—42no—
518C3×C4—44no—
519C3×C4—42no—
520C3×C4—81no—
521C3×C4—82no—
522C3×C4—81no—
523C3×C4—82no—
524C23—22no—
525C23—24no—
526C23—22no—
527C23—24no—
528C23—22no—
529C23—22no—
530C23—24no—
531C23—24no—
532C23—22no—
533C23—24no—
534C23—24no—
535C23—22no—
536C23—22no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—22no—
541C23—24no—
542C23C3×#12114yes—
543C23C3×C22⋊Q818yes—
544C23C3×#12314yes—
545C23C3×#12518yes—
546C23C3×C4⋊Q814yes—
547C23C22×C3×D411yescharacteristic
548C23C22×C3×D411yescharacteristic
549C23C22×C3×D411yescharacteristic
550C23C22×C3×Q812yes—
551C23C2×C3×#4111yescharacteristic
552C23C2×C3×#4111yescharacteristic
553C23C2×C3×#4112yes—
554C23C2×C3×#4112yes—
555C23C3×H(5,𝔽2)12yes—
556C23C3×H(5,𝔽2)11yescharacteristic
557C23C3×2−1+411yescharacteristic
558C2×C4—24no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—24no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—24no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—416no—
580C2×C4—432no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—42no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—41no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—41no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—41no—
597C2×C4—42no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—42no—
602C2×C4—41no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—41no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4C3×#12114yes—
619C2×C4C3×C22⋊Q818yes—
620C2×C3—28no—
621C2×C3C2×#39811yescharacteristic
622C2×C3#241211yescharacteristic
623C2×C3#241611yescharacteristic
624C2×C3#243712yes—
625C2×C3#243812yes—
626C2×C3#244212yes—
627C2×C3#249811yescharacteristic
628C2×C3#254311yescharacteristic
629C2×C3#256912yes—
630C2×C3#265911yescharacteristic
631C2×C3#285711yescharacteristic
632C22—24no—
633C22—24no—
634C22—24no—
635C22—28no—
636C22—28no—
637C22—28no—
638C22—24no—
639C22—24no—
640C22—28no—
641C22—24no—
642C22C3×#39818yescomplemented
643C22C2×C3×#12111yescharacteristic
644C22C2×C3×#12111yescharacteristic
645C22C2×C3×C22⋊Q812yes—
646C22C2×C3×C22⋊Q812yes—
647C22C2×C3×#12311yescharacteristic
648C22C2×C3×#12512yes—
649C22C2×C3×C4⋊Q811yescharacteristic
650C22C3×#53211yescharacteristic
651C22C3×#53312yes—
652C22C3×#53411yescharacteristic
653C22C3×#53711yescharacteristic
654C22C3×#54312yes—
655C22C3×#54412yes—
656C22C3×D4211yescharacteristic
657C22C3×#54612yes—
658C22C3×#54612yes—
659C22C3×#54711yescharacteristic
660C22C3×#54811yescharacteristic
661C22C3×#55112yes—
662C22C3×#55112yes—
663C22C3×#55212yes—
664C22C3×#55311yescharacteristic
665C22C3×#55312yes—
666C4—24no—
667C4—28no—
668C4—42no—
669C4—42no—
670C4—44no—
671C4—42no—
672C4—81no—
673C4—82no—
674C4—81no—
675C4—82no—
676C3#1476611yescharacteristic, direct product factor, Sylow
677C2—28no—
678C2C2×C3×#39811yescharacteristic
679C2C3×#241211yescharacteristic
680C2C3×#241611yescharacteristic
681C2C3×#243712yes—
682C2C3×#243812yes—
683C2C3×#244212yes—
684C2C3×#249811yescharacteristic
685C2C3×#254311yescharacteristic
686C2C3×#256912yes—
687C2C3×#265911yescharacteristic
688C2C3×#285711yescharacteristic
subgroupG/H
center, socleC24×C3C24
commutator, Frattini, cosocleC24C24×C3
prime radicalC25×C3C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C3 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#398C2semidirect
6. C3×#1445C2semidirect
7. C3×#1444C2semidirect
8. C3×#1442C2semidirect
9. C3×#1441C2semidirect
10. C3×#1441C2semidirect
12. #14766C3direct (N × H)
41. C2×#398C2×C3semidirect
46. #1445C2×C3semidirect
47. #1444C2×C3semidirect
48. #1442C2×C3semidirect
49. #1441C2×C3semidirect
50. #1441C2×C3semidirect
490. C22×C3#398semidirect
642. C22C3×#398semidirect
676. C3#14766direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#3982
C2×C3×#3852
C2×C3×#3802
C22×C3×#952
C3×#14452
C3×#14442
C3×#14422
C3×#14412
C3×C22⋊#952
#147663