Finite Group Databasebeta

← C3×D3×#461 #11865464

Subgroups — C3×D3×#461 #11865464

Order 1152.

1148 conjugacy classes of subgroups.

The subgroup lattice has 667 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×SD16C212yesmaximal
2C3×D3×C4⋊Q8C211yesmaximal, characteristic, complemented
3C3×C4×D3×D4C211yesmaximal, characteristic
4C32×#461C211yesmaximal, characteristic, complemented
5C3×#5162C212yesmaximal, complemented
6C3×#5083C211yesmaximal, characteristic, complemented
7C3×#5019C211yesmaximal, characteristic, complemented
8C3×#4841C211yesmaximal, characteristic, complemented
9C3×D3×C4⋊C8C211yesmaximal, characteristic, complemented
10C3×#4818C212yesmaximal, complemented
11C3×D3×#103C212yesmaximal, complemented
12C2×C3×#461—31nomaximal
13D3×#461C311yesmaximal, characteristic, direct product factor
14C2×C3×D3×Q8C2212yes—
15C2×C3×D3×D4C2211yescharacteristic
16C22×C3×C4×D3—21no—
17C2×C32×SD16C2212yes—
18C32×C4⋊Q8C2211yescharacteristic, complemented
19C32×C4×D4C2211yescharacteristic
20C3×#944C2212yescomplemented
21C2×C3×#215C2212yes—
22C3×D4×Dic3C2211yescharacteristic
23C2×C3×#214C2212yes—
24C3×C4×#67—21no—
25C3×D3×SD16—28no—
26C2×C3×#204C2212yes—
27C2×C3×D3×C8C2212yes—
28C3×#893C2211yescharacteristic
29C3×D3×C4⋊C4—21no—
30C3×D3×C4⋊C4—21no—
31C3×D3×C4⋊C4C2211yescharacteristic
32C3×#888—21no—
33C3×#888—21no—
34C3×#67⋊C4—21no—
35C3×D3×C22⋊C4—21no—
36C3×C4×D12C2211yescharacteristic
37C3×C42×D3C2211yescharacteristic
38C3×#869C2211yescharacteristic, complemented
39C32×C4⋊C8C2211yescharacteristic, complemented
40C32×#103C2212yescomplemented
41C3×#835C2212yescomplemented
42C3×#816C2212yescomplemented
43C3×Dic3⋊C8C2212yescomplemented
44C3×#810C2212yescomplemented
45C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
46C22×C3×SD16—32no—
47C2×C3×C4⋊Q8—31no—
48C2×C3×C4×D4—31no—
49C2×D3×SD16C2×C312yes—
50D3×C4⋊Q8C2×C311yescharacteristic, complemented
51C4×D3×D4C2×C311yescharacteristic
52C3×#461—21no—
53C3×#461—32no—
54C3×#461—31no—
55C3×#461—31no—
56C3×#461—31no—
57C3×#461—32no—
58C3×#461D311yescharacteristic, direct product factor
59C3×#461C2×C311yescharacteristic, complemented
60C2×C3×C4⋊C8—31no—
61C2×C3×#103—32no—
62#5162C2×C312yescomplemented
63#5083C2×C311yescharacteristic, complemented
64#5019C2×C311yescharacteristic, complemented
65#4841C2×C311yescharacteristic, complemented
66D3×C4⋊C8C2×C311yescharacteristic, complemented
67#4818C2×C312yescomplemented
68D3×#103C2×C312yescomplemented
69C23×C3×D3—21no—
70C2×C32×Q8C2312yes—
71C2×C32×D4C2311yescharacteristic
72C22×C32×C4—21no—
73C2×C3×#67—21no—
74C22×C3×Dic3—21no—
75C3×D3×Q8—24no—
76C3×D3×Q8—24no—
77C3×D3×D4—22no—
78C3×D3×D4D414yes—
79C2×C3×D12C2311yescharacteristic
80C2×C3×C4×D3—21no—
81C2×C3×C4×D3—22no—
82C2×C3×C4×D3—21no—
83C2×C3×C4×D3—21no—
84C2×C3×C4×D3—44no—
85C2×C3×C4×D3D411yescharacteristic
86C2×C3×C4×D3D411yescharacteristic
87C2×C3×C4×D3C2311yescharacteristic
88C2×C3×Dic6—22no—
89C2×C3×Dic6C2312yes—
90C32×SD16—24no—
91C2×C32×C8C2312yes—
92C32×C4⋊C4—21no—
93C32×C4⋊C4—21no—
94C32×C4⋊C4C2311yescharacteristic
95C32×C22⋊C4—21no—
96C32×C42C2311yescharacteristic
97C3×#217—21no—
98C3×#215—24no—
99C3×#214—24no—
100C3×(C2×D3)⋊C4—21no—
101C3×(C2×D3)⋊C4—21no—
102C3×C4⋊Dic3—21no—
103C3×C4⋊Dic3—21no—
104C3×C4⋊Dic3C2311yescharacteristic
105C3×Dic3⋊C4—21no—
106C3×Dic3⋊C4—22no—
107C3×Dic3⋊C4—22no—
108C3×C4×Dic3D411yescharacteristic
109C3×C4×Dic3D411yescharacteristic
110C3×C4×Dic3C2311yescharacteristic
111C2×C3×C3⋊C8C2312yes—
112C3×#204—24no—
113C3×D3×C8—24no—
114C2×#461—31noSylow
115C22×C3×Q8—32no—
116C22×C3×D4—31no—
117C23×C3×C4—61no—
118C2×D3×Q8C22×C312yes—
119C2×D3×D4C22×C311yescharacteristic
120C22×C4×D3—21no—
121C2×C3×SD16—22no—
122C2×C3×SD16—32no—
123C2×C3×SD16—32no—
124C2×C3×SD16—32no—
125C2×C3×SD16—68no—
126C2×C3×SD16C2×D312yes—
127C2×C3×SD16C22×C312yes—
128C22×C3×C8—32no—
129C3×C4⋊Q8—21no—
130C3×C4⋊Q8—32no—
131C3×C4⋊Q8—31no—
132C3×C4⋊Q8—61no—
133C3×C4⋊Q8—61no—
134C3×C4⋊Q8C2×D311yescharacteristic, complemented
135C3×C4⋊Q8C22×C311yescharacteristic, complemented
136C3×C4×D4—21no—
137C3×C4×D4—31no—
138C3×C4×D4—31no—
139C3×C4×D4—31no—
140C3×C4×D4—61no—
141C3×C4×D4—61no—
142C3×C4×D4C2×D311yescharacteristic
143C3×C4×D4C22×C311yescharacteristic
144C2×C3×C4⋊C4—31no—
145C2×C3×C4⋊C4—61no—
146C2×C3×C4⋊C4—61no—
147C2×C3×C22⋊C4—61no—
148C2×C3×C42—31no—
149#944C22×C312yescomplemented
150C2×#215C22×C312yes—
151D4×Dic3C22×C311yescharacteristic
152C2×#214C22×C312yes—
153C4×#67—21no—
154D3×SD16—28no—
155C2×#204C22×C312yes—
156C2×D3×C8C22×C312yes—
157#893C22×C311yescharacteristic
158D3×C4⋊C4—21no—
159D3×C4⋊C4—21no—
160D3×C4⋊C4C22×C311yescharacteristic
161#888—21no—
162#888—21no—
163#67⋊C4—21no—
164D3×C22⋊C4—21no—
165C4×D12C22×C311yescharacteristic
166C42×D3C22×C311yescharacteristic
167#869C22×C311yescharacteristic, complemented
168C3×C4⋊C8—21no—
169C3×C4⋊C8—32no—
170C3×C4⋊C8—31no—
171C3×C4⋊C8C2×D311yescharacteristic, complemented
172C3×C4⋊C8C22×C311yescharacteristic, complemented
173C3×#103—22no—
174C3×#103—32no—
175C3×#103—32no—
176C3×#103—32no—
177C3×#103C2×D312yescomplemented
178C3×#103C22×C312yescomplemented
179#835C22×C312yescomplemented
180#816C22×C312yescomplemented
181Dic3⋊C8C22×C312yescomplemented
182#810C22×C312yescomplemented
183C4⋊(C3⋊C8)C22×C311yescharacteristic, complemented
184C23×C32—21no—
185C22×C3×D3—21no—
186C22×C3×D3—24no—
187C22×C3×D3—42no—
188C22×C3×D3—42no—
189C22×C3×D3C2×D411yescharacteristic
190C32×Q8—22no—
191C32×Q8—22no—
192C32×D4—21no—
193C32×D4C2×D412yes—
194C2×C32×C4—22no—
195C2×C32×C4—21no—
196C2×C32×C4—42no—
197C2×C32×C4C2×D411yescharacteristic
198C2×C32×C4C2×D411yescharacteristic
199C2×C32×C4C2411yescharacteristic
200C3×#67—24no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—42no—
204C2×C3×Dic3C2×D411yescharacteristic
205C2×C3×Dic3C2×D411yescharacteristic
206C2×C3×Dic3C2×D411yescharacteristic
207C3×D12—21no—
208C3×D12C2×D412yes—
209C3×C4×D3—22no—
210C3×C4×D3—44no—
211C3×C4×D3—42no—
212C3×C4×D3—42no—
213C3×C4×D3—42no—
214C3×C4×D3SD1614yescomplemented
215C3×C4×D3C2×D412yes—
216C3×C4×D3#4112yes—
217C3×Dic6—22no—
218C3×Dic6—22no—
219C3×Dic6—44no—
220C32×C8—22no—
221C3×C3⋊C8—22no—
222C22×SD16—32no—
223C2×C4⋊Q8—31no—
224C2×C4×D4—31no—
225#461—32no—
226#461—31no—
227#461—31no—
228#461—31no—
229#461—32no—
230#461C3×D311yescharacteristic, direct product factor
231C2×C4⋊C8—31no—
232C2×#103—32no—
233C24×C3—61no—
234C23×D3—21no—
235C2×C3×Q8—22no—
236C2×C3×Q8—32no—
237C2×C3×Q8—62no—
238C2×C3×Q8—64no—
239C2×C3×Q8—64no—
240C2×C3×Q8C22×D312yes—
241C2×C3×Q8C23×C312yes—
242C2×C3×D4—21no—
243C2×C3×D4—34no—
244C2×C3×D4—31no—
245C2×C3×D4—62no—
246C2×C3×D4—61no—
247C2×C3×D4C22×D311yescharacteristic
248C2×C3×D4C23×C311yescharacteristic
249C22×C3×C4—21no—
250C22×C3×C4—21no—
251C22×C3×C4—31no—
252C22×C3×C4—31no—
253C22×C3×C4—31no—
254C22×C3×C4—41no—
255C22×C3×C4—61no—
256C22×C3×C4—61no—
257C22×C3×C4—62no—
258C22×C3×C4—61no—
259C22×C3×C4—61no—
260C22×C3×C4—124no—
261C2×#67—21no—
262C22×Dic3—21no—
263D3×Q8—24no—
264D3×Q8—24no—
265D3×D4—22no—
266D3×D4C3×D414yes—
267C2×D12C23×C311yescharacteristic
268C2×C4×D3—21no—
269C2×C4×D3—22no—
270C2×C4×D3—21no—
271C2×C4×D3—21no—
272C2×C4×D3—44no—
273C2×C4×D3C3×D411yescharacteristic
274C2×C4×D3C3×D411yescharacteristic
275C2×C4×D3C23×C311yescharacteristic
276C2×Dic6—22no—
277C2×Dic6C23×C312yes—
278C3×SD16—24no—
279C3×SD16—24no—
280C3×SD16—44no—
281C3×SD16—64no—
282C3×SD16—64no—
283C3×SD16—64no—
284C2×C3×C8—22no—
285C2×C3×C8—32no—
286C2×C3×C8—64no—
287C2×C3×C8C22×D312yes—
288C2×C3×C8C23×C312yes—
289C3×C4⋊C4—21no—
290C3×C4⋊C4—21no—
291C3×C4⋊C4—21no—
292C3×C4⋊C4—21no—
293C3×C4⋊C4—21no—
294C3×C4⋊C4—31no—
295C3×C4⋊C4—41no—
296C3×C4⋊C4—41no—
297C3×C4⋊C4—61no—
298C3×C4⋊C4—62no—
299C3×C4⋊C4—62no—
300C3×C4⋊C4—61no—
301C3×C4⋊C4—61no—
302C3×C4⋊C4C22×D311yescharacteristic
303C3×C4⋊C4C23×C311yescharacteristic
304C3×C22⋊C4—21no—
305C3×C22⋊C4—21no—
306C3×C22⋊C4—41no—
307C3×C22⋊C4—61no—
308C3×C22⋊C4—61no—
309C3×C22⋊C4—61no—
310C3×C42—21no—
311C3×C42—31no—
312C3×C42—31no—
313C3×C42—31no—
314C3×C42C22×D311yescharacteristic
315C3×C42C23×C311yescharacteristic
316#217—21no—
317#215—24no—
318#214—24no—
319(C2×D3)⋊C4—21no—
320(C2×D3)⋊C4—21no—
321C4⋊Dic3—21no—
322C4⋊Dic3—21no—
323C4⋊Dic3C23×C311yescharacteristic
324Dic3⋊C4—21no—
325Dic3⋊C4—22no—
326Dic3⋊C4—22no—
327C4×Dic3C3×D411yescharacteristic
328C4×Dic3C3×D411yescharacteristic
329C4×Dic3C23×C311yescharacteristic
330C2×C3⋊C8C23×C312yes—
331#204—24no—
332D3×C8—24no—
333C22×C32—22no—
334C22×C32—41no—
335C22×C32—41no—
336C22×C32C22×D411yescharacteristic
337C2×C3×D3—22no—
338C2×C3×D3—41no—
339C2×C3×D3—41no—
340C2×C3×D3—48no—
341C2×C3×D3#12112yes—
342C2×C3×D3C2×SD1612yes—
343C2×C3×D3#13712yes—
344C32×C4—21no—
345C32×C4—42no—
346C32×C4—41no—
347C32×C4C2×SD1612yescomplemented
348C32×C4C22×D411yescharacteristic
349C32×C4C2×#4111yescharacteristic
350C3×Dic3—21no—
351C3×Dic3—42no—
352C3×Dic3—41no—
353C3×Dic3#12112yes—
354C3×Dic3C2×SD1612yescomplemented
355C22×Q8—32no—
356C22×D4—31no—
357C23×C4—61no—
358C2×SD16—32no—
359C2×SD16—32no—
360C2×SD16—32no—
361C2×SD16—68no—
362C2×SD16C2×C3×D312yes—
363C22×C8—32no—
364C4⋊Q8—32no—
365C4⋊Q8—31no—
366C4⋊Q8—61no—
367C4⋊Q8—61no—
368C4⋊Q8C2×C3×D311yescharacteristic, complemented
369C4×D4—31no—
370C4×D4—31no—
371C4×D4—31no—
372C4×D4—61no—
373C4×D4—61no—
374C4×D4C2×C3×D311yescharacteristic
375C2×C4⋊C4—31no—
376C2×C4⋊C4—61no—
377C2×C4⋊C4—61no—
378C2×C22⋊C4—61no—
379C2×C42—31no—
380C4⋊C8—32no—
381C4⋊C8—31no—
382C4⋊C8C2×C3×D311yescharacteristic, complemented
383#103—32no—
384#103—32no—
385#103—32no—
386#103C2×C3×D312yescomplemented
387C23×C3—21no—
388C23×C3—21no—
389C23×C3—31no—
390C23×C3—41no—
391C23×C3—64no—
392C23×C3—61no—
393C23×C3—122no—
394C23×C3—122no—
395C22×D3—21no—
396C22×D3—24no—
397C22×D3—42no—
398C22×D3—42no—
399C22×D3C2×C3×D411yescharacteristic
400C3×Q8—22no—
401C3×Q8—22no—
402C3×Q8—22no—
403C3×Q8—22no—
404C3×Q8—42no—
405C3×Q8—42no—
406C3×Q8—62no—
407C3×Q8—62no—
408C3×Q8—124no—
409C3×D4—21no—
410C3×D4—21no—
411C3×D4—22no—
412C3×D4—32no—
413C3×D4—41no—
414C3×D4—64no—
415C3×D4—61no—
416C3×D4D3×D412yes—
417C3×D4C2×C3×D412yes—
418C2×C3×C4—21no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—31no—
426C2×C3×C4—31no—
427C2×C3×C4—34no—
428C2×C3×C4—32no—
429C2×C3×C4—32no—
430C2×C3×C4—31no—
431C2×C3×C4—41no—
432C2×C3×C4—42no—
433C2×C3×C4—42no—
434C2×C3×C4—42no—
435C2×C3×C4—62no—
436C2×C3×C4—61no—
437C2×C3×C4—62no—
438C2×C3×C4—82no—
439C2×C3×C4—122no—
440C2×C3×C4—122no—
441C2×C3×C4—122no—
442C2×C3×C4—124no—
443C2×C3×C4—122no—
444C2×C3×C4D3×D411yescharacteristic
445C2×C3×C4D3×D411yescharacteristic
446C2×C3×C4C2×C3×D411yescharacteristic
447C2×C3×C4C2×C3×D411yescharacteristic
448C2×C3×C4C23×D311yescharacteristic
449C2×C3×C4C24×C311yescharacteristic
450#67—24no—
451C2×Dic3—22no—
452C2×Dic3—21no—
453C2×Dic3—42no—
454C2×Dic3C2×C3×D411yescharacteristic
455C2×Dic3C2×C3×D411yescharacteristic
456C2×Dic3C2×C3×D411yescharacteristic
457D12—21no—
458D12C2×C3×D412yes—
459C4×D3—22no—
460C4×D3—44no—
461C4×D3—42no—
462C4×D3—42no—
463C4×D3—42no—
464C4×D3C3×SD1614yescomplemented
465C4×D3C2×C3×D412yes—
466C4×D3C3×#4112yes—
467Dic6—22no—
468Dic6—22no—
469Dic6—44no—
470C3×C8—22no—
471C3×C8—22no—
472C3×C8—42no—
473C3×C8—62no—
474C3⋊C8—22no—
475C2×C32—42no—
476C2×C32C2×#12111yescharacteristic
477C2×C32C22×SD1611yescharacteristic
478C2×C32C2×#13711yescharacteristic
479C3×D3—42no—
480C3×D3#46114yesdirect product factor
481C24—61no—
482C2×Q8—32no—
483C2×Q8—62no—
484C2×Q8—64no—
485C2×Q8—64no—
486C2×Q8C22×C3×D312yes—
487C2×D4—34no—
488C2×D4—31no—
489C2×D4—62no—
490C2×D4—61no—
491C2×D4C22×C3×D311yescharacteristic
492C22×C4—21no—
493C22×C4—31no—
494C22×C4—31no—
495C22×C4—31no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—62no—
499C22×C4—61no—
500C22×C4—61no—
501C22×C4—124no—
502SD16—24no—
503SD16—64no—
504SD16—64no—
505SD16—64no—
506C2×C8—32no—
507C2×C8—64no—
508C2×C8C22×C3×D312yes—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—31no—
512C4⋊C4—61no—
513C4⋊C4—62no—
514C4⋊C4—62no—
515C4⋊C4—61no—
516C4⋊C4—61no—
517C4⋊C4C22×C3×D311yescharacteristic
518C22⋊C4—21no—
519C22⋊C4—61no—
520C22⋊C4—61no—
521C22⋊C4—61no—
522C42—31no—
523C42—31no—
524C42—31no—
525C42C22×C3×D311yescharacteristic
526C22×C3—22no—
527C22×C3—22no—
528C22×C3—21no—
529C22×C3—32no—
530C22×C3—32no—
531C22×C3—32no—
532C22×C3—42no—
533C22×C3—41no—
534C22×C3—41no—
535C22×C3—41no—
536C22×C3—41no—
537C22×C3—62no—
538C22×C3—81no—
539C22×C3—81no—
540C22×C3—128no—
541C22×C3—121no—
542C22×C3—121no—
543C22×C3C2×D3×D411yescharacteristic
544C22×C3C22×C3×D411yescharacteristic
545C2×D3—22no—
546C2×D3—41no—
547C2×D3—41no—
548C2×D3—48no—
549C2×D3C3×#12112yes—
550C2×D3C2×C3×SD1612yes—
551C2×D3C3×#13712yes—
552C3×C4—21no—
553C3×C4—21no—
554C3×C4—22no—
555C3×C4—21no—
556C3×C4—21no—
557C3×C4—32no—
558C3×C4—32no—
559C3×C4—41no—
560C3×C4—41no—
561C3×C4—41no—
562C3×C4—42no—
563C3×C4—42no—
564C3×C4—61no—
565C3×C4—81no—
566C3×C4—82no—
567C3×C4—121no—
568C3×C4—122no—
569C3×C4D3×SD1612yescomplemented
570C3×C4C2×C3×SD1612yescomplemented
571C3×C4C2×D3×D411yescharacteristic
572C3×C4D3×#4111yescharacteristic
573C3×C4C22×C3×D411yescharacteristic
574C3×C4C2×C3×#4111yescharacteristic
575Dic3—21no—
576Dic3—41no—
577Dic3—42no—
578Dic3C3×#12112yes—
579Dic3C2×C3×SD1612yescomplemented
580C32C2×#46111yescharacteristic, complemented, Sylow
581C23—21no—
582C23—31no—
583C23—64no—
584C23—61no—
585C23—122no—
586C23—122no—
587Q8—22no—
588Q8—22no—
589Q8—62no—
590Q8—62no—
591Q8—124no—
592D4—21no—
593D4—32no—
594D4—64no—
595D4—61no—
596D4C3×D3×D412yes—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—31no—
600C2×C4—31no—
601C2×C4—34no—
602C2×C4—32no—
603C2×C4—32no—
604C2×C4—31no—
605C2×C4—42no—
606C2×C4—62no—
607C2×C4—61no—
608C2×C4—62no—
609C2×C4—122no—
610C2×C4—122no—
611C2×C4—122no—
612C2×C4—124no—
613C2×C4—122no—
614C2×C4C3×D3×D411yescharacteristic
615C2×C4C3×D3×D411yescharacteristic
616C2×C4C23×C3×D311yescharacteristic
617C8—22no—
618C8—62no—
619C2×C3—21no—
620C2×C3—21no—
621C2×C3—21no—
622C2×C3—34no—
623C2×C3—42no—
624C2×C3—42no—
625C2×C3—82no—
626C2×C3—122no—
627C2×C3D3×#12111yescharacteristic
628C2×C3C2×D3×SD1611yescharacteristic
629C2×C3D3×#13711yescharacteristic
630C2×C3C2×C3×#12111yescharacteristic
631C2×C3C22×C3×SD1611yescharacteristic
632C2×C3C2×C3×#13711yescharacteristic
633D3—42no—
634D3C3×#46114yesdirect product factor
635C22—22no—
636C22—32no—
637C22—32no—
638C22—32no—
639C22—41no—
640C22—41no—
641C22—62no—
642C22—128no—
643C22—121no—
644C22—121no—
645C22C2×C3×D3×D411yescharacteristic
646C4—21no—
647C4—32no—
648C4—32no—
649C4—41no—
650C4—42no—
651C4—61no—
652C4—121no—
653C4—122no—
654C4C3×D3×SD1612yescomplemented
655C4C2×C3×D3×D411yescharacteristic
656C4C3×D3×#4111yescharacteristic
657C3—21no—
658C3D3×#46111yescharacteristic, direct product factor
659C3C2×C3×#46111yescharacteristic, complemented
660C2—34no—
661C2—42no—
662C2—122no—
663C2C3×D3×#12111yescharacteristic
664C2C2×C3×D3×SD1611yescharacteristic
665C2C3×D3×#13711yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#461C2
socleC22×C32C22×D4
prime radicalC2×C3×D3×D4C22
hypercenterC3×#461D3
hypocenterC3C2×C3×#461
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×C42 ◁ C3×#461

Complements

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

NH ≅ G/Ntype
2. C3×D3×C4⋊Q8C2semidirect
4. C32×#461C2semidirect
5. C3×#5162C2semidirect
6. C3×#5083C2semidirect
7. C3×#5019C2semidirect
8. C3×#4841C2semidirect
9. C3×D3×C4⋊C8C2semidirect
10. C3×#4818C2semidirect
11. C3×D3×#103C2semidirect
13. D3×#461C3direct (N × H)
18. C32×C4⋊Q8C22semidirect
20. C3×#944C22semidirect
38. C3×#869C22semidirect
39. C32×C4⋊C8C22semidirect
40. C32×#103C22semidirect
41. C3×#835C22semidirect
42. C3×#816C22semidirect
43. C3×Dic3⋊C8C22semidirect
44. C3×#810C22semidirect
45. C3×C4⋊(C3⋊C8)C22semidirect
50. D3×C4⋊Q8C2×C3semidirect
58. C3×#461D3direct (N × H)
59. C3×#461C2×C3semidirect
62. #5162C2×C3semidirect
63. #5083C2×C3semidirect
64. #5019C2×C3semidirect
65. #4841C2×C3semidirect
66. D3×C4⋊C8C2×C3semidirect
67. #4818C2×C3semidirect
68. D3×#103C2×C3semidirect
134. C3×C4⋊Q8C2×D3semidirect
135. C3×C4⋊Q8C22×C3semidirect
149. #944C22×C3semidirect
167. #869C22×C3semidirect
171. C3×C4⋊C8C2×D3semidirect
172. C3×C4⋊C8C22×C3semidirect
177. C3×#103C2×D3semidirect
178. C3×#103C22×C3semidirect
179. #835C22×C3semidirect
180. #816C22×C3semidirect
181. Dic3⋊C8C22×C3semidirect
182. #810C22×C3semidirect
183. C4⋊(C3⋊C8)C22×C3semidirect
214. C3×C4×D3SD16semidirect
230. #461C3×D3direct (N × H)
347. C32×C4C2×SD16semidirect
354. C3×Dic3C2×SD16semidirect
368. C4⋊Q8C2×C3×D3semidirect
382. C4⋊C8C2×C3×D3semidirect
386. #103C2×C3×D3semidirect
464. C4×D3C3×SD16semidirect
480. C3×D3#461direct (N × H)
569. C3×C4D3×SD16semidirect
570. C3×C4C2×C3×SD16semidirect
579. Dic3C2×C3×SD16semidirect
580. C32C2×#461semidirect
634. D3C3×#461direct (N × H)
654. C4C3×D3×SD16semidirect
658. C3D3×#461direct (N × H)
659. C3C2×C3×#461semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×SD162
C3×D3×C4⋊Q82
C3×C4×D3×D42
C32×#4612
C3×#51622
C3×#50832
C3×#50192
C3×#48412
C3×D3×C4⋊C82
C3×#48182
C3×D3×#1032
C2×C3×#4613
D3×#4613