Finite Group Databasebeta

← C3×#33028 #10651635

Subgroups — C3×#33028 #10651635

Order 768.

984 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#478C211yesmaximal, characteristic, complemented
2C2×C3×#463C211yesmaximal, characteristic
3C3×#2861C211yesmaximal, characteristic, complemented
4C3×C42×D4C211yesmaximal, characteristic, complemented
5C3×#1989C211yesmaximal, characteristic, complemented
6C3×#1983C211yesmaximal, characteristic, complemented
7C3×#1928C211yesmaximal, characteristic, complemented
8C3×#1927C211yesmaximal, characteristic, complemented
9C3×#1926C211yesmaximal, characteristic, complemented
10C3×#1925C211yesmaximal, characteristic, complemented
11C3×#1879C211yesmaximal, characteristic
12C3×#1879C211yesmaximal, characteristic
13C3×#1877C211yesmaximal, characteristic, complemented
14C3×#1877C211yesmaximal, characteristic, complemented
15C3×#1831C211yesmaximal, characteristic, complemented
16#33028C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×SD16C2211yescharacteristic
18C22×C3×D8C2211yescharacteristic
19C2×C3×#125C2211yescharacteristic
20C2×C3×#124C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×C4×D4C2211yescharacteristic
23C2×C3×C4×D4C2211yescharacteristic
24C22×C3×C42—21no—
25C3×#478—24no—
26C3×#463—24no—
27C2×C3×#107C2211yescharacteristic
28C2×C3×#106C2211yescharacteristic
29C2×C3×C4⋊C8C2211yescharacteristic
30C2×C3×C4⋊C8C2211yescharacteristic
31C2×C3×#103C2211yescharacteristic
32C2×C3×#103C2211yescharacteristic
33C2×C3×#103C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×#102C2211yescharacteristic
38C2×C3×#102C2211yescharacteristic
39C3×#391C2211yescharacteristic
40C3×#391C2211yescharacteristic
41C3×#390C2211yescharacteristic
42C3×#390C2211yescharacteristic
43C3×#388—21no—
44C3×#388—21no—
45C3×#388—21no—
46C3×#388—21no—
47C3×C4×C4⋊C4C2211yescharacteristic
48C3×C4×C4⋊C4C2211yescharacteristic
49C3×C4×C4⋊C4C2211yescharacteristic
50C3×C4×C22⋊C4—21no—
51C3×C4×C22⋊C4—21no—
52C3×C4×C22⋊C4—21no—
53C3×C43C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#478C2×C311yescharacteristic, complemented
63C2×#463C2×C311yescharacteristic
64#2861C2×C311yescharacteristic, complemented
65C42×D4C2×C311yescharacteristic, complemented
66#1989C2×C311yescharacteristic, complemented
67#1983C2×C311yescharacteristic, complemented
68#1928C2×C311yescharacteristic, complemented
69#1927C2×C311yescharacteristic, complemented
70#1926C2×C311yescharacteristic, complemented
71#1925C2×C311yescharacteristic, complemented
72#1879C2×C311yescharacteristic
73#1879C2×C311yescharacteristic
74#1877C2×C311yescharacteristic, complemented
75#1877C2×C311yescharacteristic, complemented
76#1831C2×C311yescharacteristic, complemented
77C22×C3×Q8C2311yescharacteristic
78C22×C3×D4C2311yescharacteristic
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C23×C3×C4—21no—
82C23×C3×C4—21no—
83C2×C3×SD16—22no—
84C2×C3×SD16—22no—
85C2×C3×SD16—22no—
86C2×C3×D8—22no—
87C2×C3×D8—22no—
88C2×C3×D8—22no—
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C3×#125—22no—
94C3×#125—22no—
95C3×#124—22no—
96C3×#124—22no—
97C3×C4×D4—22no—
98C3×C4×D4—22no—
99C3×C4×D4—22no—
100C3×C4×D4—22no—
101C3×C4×D4—22no—
102C3×C4×D4D414yes—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
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×C42—21no—
122C2×C3×C42—44no—
123C2×C3×C42D411yescharacteristic
124C2×C3×C42D411yescharacteristic
125C2×C3×C42D411yescharacteristic
126C2×C3×C42D411yescharacteristic
127C2×C3×C42C2311yescharacteristic
128C2×C3×C42C2311yescharacteristic
129C2×C3×C42C2311yescharacteristic
130C3×#107—22no—
131C3×#106—22no—
132C3×C4⋊C8—22no—
133C3×C4⋊C8—22no—
134C3×#103—22no—
135C3×#103—22no—
136C3×#103—22no—
137C3×#102—22no—
138C3×#102—22no—
139C3×#102—22no—
140C3×#102—22no—
141C3×#102—22no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95—21no—
146C3×#95—21no—
147C3×#95—21no—
148C3×#95—21no—
149C22×SD16C22×C311yescharacteristic
150C22×D8C22×C311yescharacteristic
151C2×#125C22×C311yescharacteristic
152C2×#124C22×C311yescharacteristic
153C2×C4×D4C22×C311yescharacteristic
154C2×C4×D4C22×C311yescharacteristic
155C2×C4×D4C22×C311yescharacteristic
156C22×C42—21no—
157#478—24no—
158#463—24no—
159C2×#107C22×C311yescharacteristic
160C2×#106C22×C311yescharacteristic
161C2×C4⋊C8C22×C311yescharacteristic
162C2×C4⋊C8C22×C311yescharacteristic
163C2×#103C22×C311yescharacteristic
164C2×#103C22×C311yescharacteristic
165C2×#103C22×C311yescharacteristic
166C2×#102C22×C311yescharacteristic
167C2×#102C22×C311yescharacteristic
168C2×#102C22×C311yescharacteristic
169C2×#102C22×C311yescharacteristic
170C2×#102C22×C311yescharacteristic
171#391C22×C311yescharacteristic
172#391C22×C311yescharacteristic
173#390C22×C311yescharacteristic
174#390C22×C311yescharacteristic
175#388—21no—
176#388—21no—
177#388—21no—
178#388—21no—
179C4×C4⋊C4C22×C311yescharacteristic
180C4×C4⋊C4C22×C311yescharacteristic
181C4×C4⋊C4C22×C311yescharacteristic
182C4×C22⋊C4—21no—
183C4×C22⋊C4—21no—
184C4×C22⋊C4—21no—
185C43C22×C311yescharacteristic
186#340C22×C311yescharacteristic
187#340C22×C311yescharacteristic
188#340C22×C311yescharacteristic
189#340C22×C311yescharacteristic
190#336C22×C311yescharacteristic
191#336C22×C311yescharacteristic
192#336C22×C311yescharacteristic
193#336C22×C311yescharacteristic
194C24×C3—21no—
195C24×C3—21no—
196C2×C3×Q8—21no—
197C2×C3×Q8—21no—
198C2×C3×Q8—21no—
199C2×C3×Q8—21no—
200C2×C3×Q8—21no—
201C2×C3×Q8—21no—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4—21no—
209C2×C3×D4—21no—
210C2×C3×D4—21no—
211C2×C3×D4C2×D412yes—
212C2×C3×D4#4112yes—
213C2×C3×D4#4112yes—
214C22×C3×C4—24no—
215C22×C3×C4—24no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—24no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—42no—
224C22×C3×C4—42no—
225C22×C3×C4—42no—
226C22×C3×C4—42no—
227C22×C3×C4—42no—
228C22×C3×C4—42no—
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2×D411yescharacteristic
234C22×C3×C4C2×D411yescharacteristic
235C22×C3×C4C2411yescharacteristic
236C3×SD16—44no—
237C3×D8—44no—
238C2×C3×C8—21no—
239C2×C3×C8—21no—
240C2×C3×C8—21no—
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—
250C3×C4⋊C4—21no—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—42no—
258C3×C4⋊C4—42no—
259C3×C4⋊C4C2×D412yes—
260C3×C4⋊C4#4112yes—
261C3×C4⋊C4#4112yes—
262C3×C22⋊C4—24no—
263C3×C22⋊C4—24no—
264C3×C22⋊C4—24no—
265C3×C22⋊C4—42no—
266C3×C22⋊C4—42no—
267C3×C22⋊C4—42no—
268C3×C22⋊C4—42no—
269C3×C22⋊C4—42no—
270C3×C22⋊C4—42no—
271C3×C42—22no—
272C3×C42—22no—
273C3×C42—21no—
274C3×C42—21no—
275C3×C42—21no—
276C3×C42—21no—
277C3×C42—41no—
278C3×C42—41no—
279C3×C42—42no—
280C3×C42—42no—
281C3×C42—42no—
282C3×C42C2×D412yes—
283C3×C42#4112yes—
284C22×Q8C23×C311yescharacteristic
285C22×D4C23×C311yescharacteristic
286C22×D4C23×C311yescharacteristic
287C23×C4—21no—
288C23×C4—21no—
289C23×C4—21no—
290C2×SD16—22no—
291C2×SD16—22no—
292C2×SD16—22no—
293C2×D8—22no—
294C2×D8—22no—
295C2×D8—22no—
296C22×C8C23×C311yescharacteristic
297C22×C8C23×C311yescharacteristic
298C22×C8C23×C311yescharacteristic
299C22×C8C23×C311yescharacteristic
300#125—22no—
301#125—22no—
302#124—22no—
303#124—22no—
304C4×D4—22no—
305C4×D4—22no—
306C4×D4—22no—
307C4×D4—22no—
308C4×D4—22no—
309C4×D4C3×D414yes—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4C23×C311yescharacteristic
313C2×C4⋊C4C23×C311yescharacteristic
314C2×C4⋊C4C23×C311yescharacteristic
315C2×C4⋊C4C23×C311yescharacteristic
316C2×C4⋊C4C23×C311yescharacteristic
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4—21no—
321C2×C22⋊C4—21no—
322C2×C22⋊C4—21no—
323C2×C22⋊C4—21no—
324C2×C22⋊C4—21no—
325C2×C22⋊C4—21no—
326C2×C42—21no—
327C2×C42—21no—
328C2×C42—21no—
329C2×C42—44no—
330C2×C42C3×D411yescharacteristic
331C2×C42C3×D411yescharacteristic
332C2×C42C3×D411yescharacteristic
333C2×C42C3×D411yescharacteristic
334C2×C42C23×C311yescharacteristic
335C2×C42C23×C311yescharacteristic
336C2×C42C23×C311yescharacteristic
337#107—22no—
338#106—22no—
339C4⋊C8—22no—
340C4⋊C8—22no—
341#103—22no—
342#103—22no—
343#103—22no—
344#102—22no—
345#102—22no—
346#102—22no—
347#102—22no—
348#102—22no—
349#95—21no—
350#95—21no—
351#95—21no—
352#95—21no—
353#95—21no—
354#95—21no—
355#95—21no—
356C23×C3—22no—
357C23×C3—22no—
358C23×C3—22no—
359C23×C3—41no—
360C23×C3—41no—
361C23×C3—41no—
362C23×C3—41no—
363C23×C3—41no—
364C23×C3—41no—
365C23×C3—41no—
366C23×C3—41no—
367C23×C3—41no—
368C23×C3—41no—
369C23×C3—41no—
370C23×C3C22×D411yescharacteristic
371C3×Q8—41no—
372C3×Q8—41no—
373C3×Q8—41no—
374C3×Q8—41no—
375C3×D4—22no—
376C3×D4—22no—
377C3×D4—22no—
378C3×D4—41no—
379C3×D4—41no—
380C3×D4—41no—
381C3×D4—41no—
382C3×D4#12414yes—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—22no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—48no—
401C2×C3×C4—48no—
402C2×C3×C4—48no—
403C2×C3×C4—41no—
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#12112yes—
419C2×C3×C4#12112yes—
420C2×C3×C4#13512yes—
421C2×C3×C4AGL(1,ℤ/8)12yes—
422C2×C3×C4C22×D411yescharacteristic
423C2×C3×C4C2×#4111yescharacteristic
424C2×C3×C4C2×#4111yescharacteristic
425C2×C3×C4C2×#4111yescharacteristic
426C2×C3×C4C2×#4111yescharacteristic
427C2×C3×C4C2×#4111yescharacteristic
428C3×C8—41no—
429C3×C8—41no—
430C3×C8—41no—
431C3×C8—41no—
432C24—21no—
433C24—21no—
434C2×Q8—21no—
435C2×Q8—21no—
436C2×Q8—21no—
437C2×Q8—21no—
438C2×Q8—21no—
439C2×Q8—21no—
440C2×D4—21no—
441C2×D4—21no—
442C2×D4—21no—
443C2×D4—21no—
444C2×D4—21no—
445C2×D4—21no—
446C2×D4—21no—
447C2×D4—21no—
448C2×D4—21no—
449C2×D4C2×C3×D412yes—
450C2×D4C3×#4112yes—
451C2×D4C3×#4112yes—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—24no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—42no—
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
474SD16—44no—
475D8—44no—
476C2×C8—21no—
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—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—42no—
496C4⋊C4—42no—
497C4⋊C4C2×C3×D412yes—
498C4⋊C4C3×#4112yes—
499C4⋊C4C3×#4112yes—
500C22⋊C4—24no—
501C22⋊C4—24no—
502C22⋊C4—24no—
503C22⋊C4—42no—
504C22⋊C4—42no—
505C22⋊C4—42no—
506C22⋊C4—42no—
507C22⋊C4—42no—
508C22⋊C4—42no—
509C42—22no—
510C42—22no—
511C42—21no—
512C42—21no—
513C42—21no—
514C42—21no—
515C42—41no—
516C42—41no—
517C42—42no—
518C42—42no—
519C42—42no—
520C42C2×C3×D412yes—
521C42C3×#4112yes—
522C22×C3—24no—
523C22×C3—42no—
524C22×C3—42no—
525C22×C3—42no—
526C22×C3—42no—
527C22×C3—42no—
528C22×C3—42no—
529C22×C3—81no—
530C22×C3—81no—
531C22×C3—81no—
532C22×C3—81no—
533C22×C3—81no—
534C22×C3—81no—
535C22×C3—81no—
536C22×C3C2×#12111yescharacteristic
537C22×C3#52511yescharacteristic
538C22×C3#52511yescharacteristic
539C22×C3C2×#13511yescharacteristic
540C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
541C22×C3#57511yescharacteristic
542C22×C3#57511yescharacteristic
543C3×C4—22no—
544C3×C4—22no—
545C3×C4—22no—
546C3×C4—22no—
547C3×C4—41no—
548C3×C4—42no—
549C3×C4—41no—
550C3×C4—42no—
551C3×C4—42no—
552C3×C4—81no—
553C3×C4—81no—
554C3×C4—81no—
555C3×C4C2×#12411yescharacteristic
556C3×C4#52911yescharacteristic
557C3×C4#52911yescharacteristic
558C3×C4#53211yescharacteristic
559C23—22no—
560C23—22no—
561C23—22no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23C22×C3×D411yescharacteristic
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578D4—22no—
579D4—22no—
580D4—22no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4C3×#12414yes—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—48no—
604C2×C4—48no—
605C2×C4—48no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4C3×#12112yes—
622C2×C4C3×#12112yes—
623C2×C4C3×#13512yes—
624C2×C4C3×AGL(1,ℤ/8)12yes—
625C2×C4C22×C3×D411yescharacteristic
626C2×C4C2×C3×#4111yescharacteristic
627C2×C4C2×C3×#4111yescharacteristic
628C2×C4C2×C3×#4111yescharacteristic
629C2×C4C2×C3×#4111yescharacteristic
630C2×C4C2×C3×#4111yescharacteristic
631C8—41no—
632C8—41no—
633C8—41no—
634C8—41no—
635C2×C3—44no—
636C2×C3—161no—
637C2×C3#285011yescharacteristic
638C2×C3#303511yescharacteristic
639C2×C3#303611yescharacteristic
640C2×C3#310211yescharacteristic
641C2×C3#310511yescharacteristic
642C2×C3#311111yescharacteristic
643C2×C3#311411yescharacteristic
644C22—24no—
645C22—42no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22C2×C3×#12111yescharacteristic
659C22C3×#52511yescharacteristic
660C22C3×#52511yescharacteristic
661C22C2×C3×#13511yescharacteristic
662C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
663C22C3×#57511yescharacteristic
664C22C3×#57511yescharacteristic
665C4—22no—
666C4—22no—
667C4—22no—
668C4—22no—
669C4—42no—
670C4—41no—
671C4—42no—
672C4—41no—
673C4—42no—
674C4—81no—
675C4—81no—
676C4—81no—
677C4C2×C3×#12411yescharacteristic
678C4C3×#52911yescharacteristic
679C4C3×#52911yescharacteristic
680C4C3×#53211yescharacteristic
681C3#3302811yescharacteristic, direct product factor, Sylow
682C2—44no—
683C2—161no—
684C2C3×#285011yescharacteristic
685C2C3×#303511yescharacteristic
686C2C3×#303611yescharacteristic
687C2C3×#310211yescharacteristic
688C2C3×#310511yescharacteristic
689C2C3×#311111yescharacteristic
690C2C3×#311411yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#478C2semidirect
3. C3×#2861C2semidirect
4. C3×C42×D4C2semidirect
5. C3×#1989C2semidirect
6. C3×#1983C2semidirect
7. C3×#1928C2semidirect
8. C3×#1927C2semidirect
9. C3×#1926C2semidirect
10. C3×#1925C2semidirect
13. C3×#1877C2semidirect
14. C3×#1877C2semidirect
15. C3×#1831C2semidirect
16. #33028C3direct (N × H)
62. C2×#478C2×C3semidirect
64. #2861C2×C3semidirect
65. C42×D4C2×C3semidirect
66. #1989C2×C3semidirect
67. #1983C2×C3semidirect
68. #1928C2×C3semidirect
69. #1927C2×C3semidirect
70. #1926C2×C3semidirect
71. #1925C2×C3semidirect
74. #1877C2×C3semidirect
75. #1877C2×C3semidirect
76. #1831C2×C3semidirect
681. C3#33028direct (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×#4632
C3×#28612
C3×C42×D42
C3×#19892
C3×#19832
C3×#19282
C3×#19272
C3×#19262
C3×#19252
C3×#18792
C3×#18772
C3×#18312
#330283