Finite Group Databasebeta

← C3×#77120 #11824547

Subgroups — C3×#77120 #11824547

Order 1152.

1567 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#938C211yesmaximal, characteristic, complemented
2C2×C3×#893C211yesmaximal, characteristic, complemented
3C2×C3×#884C212yesmaximal, complemented
4C32×#394C211yesmaximal, characteristic, complemented
5C3×#5223C211yesmaximal, characteristic, complemented
6C3×#4981C211yesmaximal, characteristic, complemented
7C3×#4956C212yesmaximal, complemented
8C3×#4956C212yesmaximal, complemented
9C3×#4945C212yesmaximal, complemented
10C3×#4674C211yesmaximal, characteristic, complemented
11C3×D3×#95C211yesmaximal, characteristic, complemented
12C3×#2543—31nomaximal
13#77120C311yesmaximal, characteristic, direct product factor
14C22×C32×D4C2211yescharacteristic
15C22×C3×#67C2212yes—
16C22×C3×#67C2212yes—
17C22×C3×D12C2211yescharacteristic
18C22×C3×C4×D3C2212yes—
19C22×C3×C4×D3C2211yescharacteristic
20C22×C3×C4×D3C2211yescharacteristic
21C2×C32×C4⋊C4C2211yescharacteristic
22C2×C32×C22⋊C4C2212yes—
23C2×C32×C22⋊C4C2212yes—
24C2×C3×#217C2212yes—
25C2×C3×#217C2212yes—
26C3×#938—24no—
27C2×C3×(C2×D3)⋊C4C2212yes—
28C2×C3×(C2×D3)⋊C4C2211yescharacteristic
29C2×C3×(C2×D3)⋊C4C2211yescharacteristic
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×Dic3⋊C4C2212yes—
32C2×C3×C4×Dic3C2211yescharacteristic
33C3×#893—24no—
34C3×#884—28no—
35C32×#95C2211yescharacteristic
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2211yescharacteristic
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2212yes—
40C2×C3×#121—31no—
41C2×C3×#121—32no—
42C2×C3×C4×D4—31no—
43C2×#938C2×C311yescharacteristic, complemented
44C2×#893C2×C311yescharacteristic, complemented
45C2×#884C2×C312yescomplemented
46C3×#398—31no—
47C3×#397—31no—
48C3×#394—21no—
49C3×#394D311yescharacteristic, complemented
50C3×#394C2×C311yescharacteristic, complemented
51C3×#392—31no—
52C3×#388—32no—
53C3×#386—32no—
54C3×#386—32no—
55C2×C3×#95—31no—
56#5223C2×C311yescharacteristic, complemented
57#4981C2×C311yescharacteristic, complemented
58#4956C2×C312yescomplemented
59#4956C2×C312yescomplemented
60#4945C2×C312yescomplemented
61#4674C2×C311yescharacteristic, complemented
62D3×#95C2×C311yescharacteristic, complemented
63C24×C32C2312yes—
64C23×C3×D3C2311yescharacteristic
65C23×C3×D3C2311yescharacteristic
66C2×C32×D4—22no—
67C2×C32×D4—42no—
68C22×C32×C4C2311yescharacteristic
69C22×C32×C4C2312yes—
70C22×C32×C4C2311yescharacteristic
71C22×C32×C4C2311yescharacteristic
72C2×C3×#67—24no—
73C2×C3×#67—24no—
74C2×C3×#67—24no—
75C2×C3×#67—24no—
76C2×C3×#67—24no—
77C2×C3×#67—42no—
78C22×C3×Dic3C2311yescharacteristic
79C22×C3×Dic3C2312yes—
80C22×C3×Dic3C2311yescharacteristic
81C22×C3×Dic3C2312yes—
82C2×C3×D12—22no—
83C2×C3×D12—22no—
84C2×C3×D12D414yescomplemented
85C2×C3×C4×D3—24no—
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3—24no—
88C2×C3×C4×D3—42no—
89C2×C3×C4×D3—42no—
90C2×C3×C4×D3—42no—
91C2×C3×C4×D3D414yescomplemented
92C32×C4⋊C4—22no—
93C32×C22⋊C4—24no—
94C32×C22⋊C4—42no—
95C3×#217—24no—
96C3×#217—24no—
97C3×(C2×D3)⋊C4—24no—
98C3×(C2×D3)⋊C4—22no—
99C3×(C2×D3)⋊C4—22no—
100C3×C4⋊Dic3—22no—
101C3×Dic3⋊C4—24no—
102C3×C4×Dic3—22no—
103#2543—31noSylow
104C22×C3×D4—21no—
105C22×C3×D4—32no—
106C22×C3×D4—32no—
107C22×C3×D4—31no—
108C22×C3×D4C2×D311yescharacteristic
109C22×C3×D4C22×C311yescharacteristic
110C23×C3×C4—31no—
111C23×C3×C4—32no—
112C23×C3×C4—31no—
113C22×#67C22×C312yes—
114C22×#67C22×C312yes—
115C22×D12C22×C311yescharacteristic
116C22×C4×D3C22×C312yes—
117C22×C4×D3C22×C311yescharacteristic
118C22×C4×D3C22×C311yescharacteristic
119C3×#121—68no—
120C3×#121—64no—
121C3×C4×D4—64no—
122C2×C3×C4⋊C4—21no—
123C2×C3×C4⋊C4—32no—
124C2×C3×C4⋊C4—31no—
125C2×C3×C4⋊C4C2×D311yescharacteristic
126C2×C3×C4⋊C4C22×C311yescharacteristic
127C2×C3×C22⋊C4—22no—
128C2×C3×C22⋊C4—22no—
129C2×C3×C22⋊C4—32no—
130C2×C3×C22⋊C4—32no—
131C2×C3×C22⋊C4—31no—
132C2×C3×C22⋊C4—32no—
133C2×C3×C22⋊C4—31no—
134C2×C3×C22⋊C4C2×D312yes—
135C2×C3×C22⋊C4C2×D312yes—
136C2×C3×C22⋊C4C22×C312yes—
137C2×C3×C22⋊C4C22×C312yes—
138C2×C3×C42—31no—
139C2×#217C22×C312yes—
140C2×#217C22×C312yes—
141#938—24no—
142C2×(C2×D3)⋊C4C22×C312yes—
143C2×(C2×D3)⋊C4C22×C311yescharacteristic
144C2×(C2×D3)⋊C4C22×C311yescharacteristic
145C2×C4⋊Dic3C22×C311yescharacteristic
146C2×Dic3⋊C4C22×C312yes—
147C2×C4×Dic3C22×C311yescharacteristic
148#893—24no—
149#884—28no—
150C3×#95—21no—
151C3×#95—32no—
152C3×#95—31no—
153C3×#95—32no—
154C3×#95—32no—
155C3×#95C2×D311yescharacteristic
156C3×#95C22×C311yescharacteristic
157C3⋊#95C22×C312yes—
158C3⋊#95C22×C311yescharacteristic
159C3⋊#95C22×C312yes—
160C3⋊#95C22×C312yes—
161C23×C32—22no—
162C23×C32—22no—
163C23×C32—22no—
164C23×C32—22no—
165C23×C32—22no—
166C23×C32—22no—
167C23×C32—22no—
168C23×C32C2411yescharacteristic
169C22×C3×D3—22no—
170C22×C3×D3—22no—
171C22×C3×D3—21no—
172C22×C3×D3—21no—
173C22×C3×D3—22no—
174C22×C3×D3—22no—
175C22×C3×D3C2×D412yes—
176C22×C3×D3C2×D412yes—
177C22×C3×D3C2×D412yes—
178C22×C3×D3#4112yes—
179C32×D4—44no—
180C2×C32×C4—21no—
181C2×C32×C4—21no—
182C2×C32×C4—22no—
183C2×C32×C4—22no—
184C2×C32×C4—21no—
185C2×C32×C4—22no—
186C2×C32×C4—22no—
187C2×C32×C4—22no—
188C2×C32×C4C2×D412yes—
189C2×C32×C4C2×D412yes—
190C3×#67—48no—
191C3×#67—48no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—22no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3—21no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3C2×D412yes—
201C2×C3×Dic3#4114yes—
202C3×D12—28no—
203C3×C4×D3—44no—
204C3×C4×D3—48no—
205C3×C4×D3—44no—
206C2×#121—31no—
207C2×#121—32no—
208C2×C4×D4—31no—
209#398—31no—
210#397—31no—
211#394C3×D311yescharacteristic, complemented
212#392—31no—
213#388—32no—
214#386—32no—
215#386—32no—
216C2×#95—31no—
217C24×C3—22no—
218C24×C3—31no—
219C24×C3—31no—
220C24×C3C22×D312yes—
221C24×C3C23×C312yes—
222C23×D3C23×C311yescharacteristic
223C23×D3C23×C311yescharacteristic
224C2×C3×D4—22no—
225C2×C3×D4—22no—
226C2×C3×D4—34no—
227C2×C3×D4—42no—
228C2×C3×D4—42no—
229C2×C3×D4—42no—
230C2×C3×D4—44no—
231C2×C3×D4—62no—
232C2×C3×D4—62no—
233C2×C3×D4—64no—
234C2×C3×D4—64no—
235C2×C3×D4—64no—
236C2×C3×D4—64no—
237C2×C3×D4—64no—
238C2×C3×D4—122no—
239C22×C3×C4—21no—
240C22×C3×C4—21no—
241C22×C3×C4—22no—
242C22×C3×C4—21no—
243C22×C3×C4—32no—
244C22×C3×C4—31no—
245C22×C3×C4—34no—
246C22×C3×C4—31no—
247C22×C3×C4—32no—
248C22×C3×C4—62no—
249C22×C3×C4—64no—
250C22×C3×C4—64no—
251C22×C3×C4—122no—
252C22×C3×C4—122no—
253C22×C3×C4—122no—
254C22×C3×C4C22×D312yes—
255C22×C3×C4C22×D311yescharacteristic
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C22×D311yescharacteristic
258C22×C3×C4C23×C312yes—
259C22×C3×C4C23×C311yescharacteristic
260C22×C3×C4C23×C311yescharacteristic
261C22×C3×C4C23×C311yescharacteristic
262C2×#67—24no—
263C2×#67—24no—
264C2×#67—24no—
265C2×#67—24no—
266C2×#67—24no—
267C2×#67—42no—
268C22×Dic3C23×C311yescharacteristic
269C22×Dic3C23×C312yes—
270C22×Dic3C23×C311yescharacteristic
271C22×Dic3C23×C312yes—
272C2×D12—22no—
273C2×D12—22no—
274C2×D12C3×D414yescomplemented
275C2×C4×D3—24no—
276C2×C4×D3—22no—
277C2×C4×D3—24no—
278C2×C4×D3—42no—
279C2×C4×D3—42no—
280C2×C4×D3—42no—
281C2×C4×D3C3×D414yescomplemented
282C3×C4⋊C4—22no—
283C3×C4⋊C4—22no—
284C3×C4⋊C4—42no—
285C3×C4⋊C4—64no—
286C3×C4⋊C4—62no—
287C3×C22⋊C4—24no—
288C3×C22⋊C4—24no—
289C3×C22⋊C4—44no—
290C3×C22⋊C4—42no—
291C3×C22⋊C4—42no—
292C3×C22⋊C4—44no—
293C3×C22⋊C4—62no—
294C3×C22⋊C4—64no—
295C3×C22⋊C4—64no—
296C3×C22⋊C4—64no—
297C3×C22⋊C4—62no—
298C3×C42—62no—
299#217—24no—
300#217—24no—
301(C2×D3)⋊C4—24no—
302(C2×D3)⋊C4—22no—
303(C2×D3)⋊C4—22no—
304C4⋊Dic3—22no—
305Dic3⋊C4—24no—
306C4×Dic3—22no—
307C22×C32—42no—
308C22×C32—42no—
309C22×C32—42no—
310C22×C32—42no—
311C22×C32—42no—
312C22×C32—42no—
313C22×C32—42no—
314C22×C32C22×D411yescharacteristic
315C22×C32C22×D411yescharacteristic
316C22×C32C2×#4111yescharacteristic
317C22×C32C2×#4112yes—
318C22×C32H(5,𝔽2)12yes—
319C2×C3×D3—22no—
320C2×C3×D3—22no—
321C2×C3×D3—24no—
322C2×C3×D3—24no—
323C2×C3×D3—22no—
324C2×C3×D3—24no—
325C2×C3×D3—41no—
326C2×C3×D3—41no—
327C2×C3×D3—42no—
328C2×C3×D3#12114yes—
329C32×C4—22no—
330C32×C4—22no—
331C32×C4—41no—
332C32×C4—42no—
333C3×Dic3—22no—
334C3×Dic3—24no—
335C3×Dic3—42no—
336C3×Dic3—41no—
337C22×D4—32no—
338C22×D4—32no—
339C22×D4—31no—
340C22×D4C2×C3×D311yescharacteristic
341C23×C4—31no—
342C23×C4—32no—
343C23×C4—31no—
344#121—68no—
345#121—64no—
346C4×D4—64no—
347C2×C4⋊C4—32no—
348C2×C4⋊C4—31no—
349C2×C4⋊C4C2×C3×D311yescharacteristic
350C2×C22⋊C4—32no—
351C2×C22⋊C4—32no—
352C2×C22⋊C4—31no—
353C2×C22⋊C4—31no—
354C2×C22⋊C4—32no—
355C2×C22⋊C4C2×C3×D312yes—
356C2×C22⋊C4C2×C3×D312yes—
357C2×C42—31no—
358#95—32no—
359#95—31no—
360#95—32no—
361#95—32no—
362#95C2×C3×D311yescharacteristic
363C23×C3—24no—
364C23×C3—22no—
365C23×C3—22no—
366C23×C3—22no—
367C23×C3—22no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—22no—
374C23×C3—22no—
375C23×C3—22no—
376C23×C3—22no—
377C23×C3—22no—
378C23×C3—21no—
379C23×C3—32no—
380C23×C3—32no—
381C23×C3—32no—
382C23×C3—32no—
383C23×C3—42no—
384C23×C3—42no—
385C23×C3—42no—
386C23×C3—42no—
387C23×C3—42no—
388C23×C3—42no—
389C23×C3—62no—
390C23×C3—62no—
391C23×C3—61no—
392C23×C3—62no—
393C23×C3—61no—
394C23×C3—62no—
395C23×C3C23×D311yescharacteristic
396C23×C3C24×C311yescharacteristic
397C22×D3—22no—
398C22×D3—22no—
399C22×D3—21no—
400C22×D3—21no—
401C22×D3—22no—
402C22×D3—22no—
403C22×D3C2×C3×D412yes—
404C22×D3C2×C3×D412yes—
405C22×D3C2×C3×D412yes—
406C22×D3C3×#4112yes—
407C3×D4—44no—
408C3×D4—44no—
409C3×D4—48no—
410C3×D4—68no—
411C3×D4—128no—
412C3×D4—128no—
413C2×C3×C4—21no—
414C2×C3×C4—22no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—21no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—21no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—32no—
432C2×C3×C4—34no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4—42no—
436C2×C3×C4—42no—
437C2×C3×C4—42no—
438C2×C3×C4—42no—
439C2×C3×C4—41no—
440C2×C3×C4—42no—
441C2×C3×C4—62no—
442C2×C3×C4—62no—
443C2×C3×C4—62no—
444C2×C3×C4—61no—
445C2×C3×C4—62no—
446C2×C3×C4—62no—
447C2×C3×C4—62no—
448C2×C3×C4—62no—
449C2×C3×C4—124no—
450C2×C3×C4—128no—
451C2×C3×C4—124no—
452C2×C3×C4D3×D412yes—
453C2×C3×C4D3×D412yes—
454C2×C3×C4C2×C3×D412yes—
455C2×C3×C4C2×C3×D412yes—
456#67—48no—
457#67—48no—
458C2×Dic3—22no—
459C2×Dic3—22no—
460C2×Dic3—22no—
461C2×Dic3—21no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—22no—
466C2×Dic3C2×C3×D412yes—
467C2×Dic3C3×#4114yes—
468D12—28no—
469C4×D3—44no—
470C4×D3—48no—
471C4×D3—44no—
472C2×C32—82no—
473C2×C32C2×#12111yescharacteristic
474C2×C32#53211yescharacteristic
475C2×C32#53411yescharacteristic
476C2×C32#54612yes—
477C2×C32#55312yes—
478C3×D3—24no—
479C3×D3—42no—
480C24—31no—
481C24—31no—
482C24C22×C3×D312yes—
483C2×D4—22no—
484C2×D4—34no—
485C2×D4—42no—
486C2×D4—62no—
487C2×D4—62no—
488C2×D4—64no—
489C2×D4—64no—
490C2×D4—64no—
491C2×D4—64no—
492C2×D4—64no—
493C2×D4—122no—
494C22×C4—32no—
495C22×C4—31no—
496C22×C4—34no—
497C22×C4—31no—
498C22×C4—32no—
499C22×C4—62no—
500C22×C4—64no—
501C22×C4—64no—
502C22×C4—122no—
503C22×C4—122no—
504C22×C4—122no—
505C22×C4C22×C3×D312yes—
506C22×C4C22×C3×D311yescharacteristic
507C22×C4C22×C3×D311yescharacteristic
508C22×C4C22×C3×D311yescharacteristic
509C4⋊C4—22no—
510C4⋊C4—64no—
511C4⋊C4—62no—
512C22⋊C4—24no—
513C22⋊C4—42no—
514C22⋊C4—62no—
515C22⋊C4—64no—
516C22⋊C4—64no—
517C22⋊C4—64no—
518C22⋊C4—62no—
519C42—62no—
520C22×C3—21no—
521C22×C3—21no—
522C22×C3—22no—
523C22×C3—21no—
524C22×C3—22no—
525C22×C3—34no—
526C22×C3—44no—
527C22×C3—44no—
528C22×C3—44no—
529C22×C3—42no—
530C22×C3—42no—
531C22×C3—42no—
532C22×C3—42no—
533C22×C3—42no—
534C22×C3—42no—
535C22×C3—42no—
536C22×C3—42no—
537C22×C3—42no—
538C22×C3—42no—
539C22×C3—42no—
540C22×C3—42no—
541C22×C3—42no—
542C22×C3—42no—
543C22×C3—64no—
544C22×C3—62no—
545C22×C3—62no—
546C22×C3—64no—
547C22×C3—62no—
548C22×C3—64no—
549C22×C3—82no—
550C22×C3—82no—
551C22×C3—82no—
552C22×C3—82no—
553C22×C3—122no—
554C22×C3—121no—
555C22×C3—121no—
556C22×C3C2×D3×D411yescharacteristic
557C22×C3C2×D3×D411yescharacteristic
558C22×C3#100412yes—
559C22×C3D3×#4111yescharacteristic
560C22×C3D3×#4112yes—
561C22×C3C22×C3×D411yescharacteristic
562C22×C3C22×C3×D411yescharacteristic
563C22×C3C2×C3×#4111yescharacteristic
564C22×C3C2×C3×#4112yes—
565C22×C3C3×H(5,𝔽2)12yes—
566C2×D3—22no—
567C2×D3—22no—
568C2×D3—24no—
569C2×D3—24no—
570C2×D3—22no—
571C2×D3—24no—
572C2×D3—41no—
573C2×D3—41no—
574C2×D3—42no—
575C2×D3C3×#12114yes—
576C3×C4—22no—
577C3×C4—22no—
578C3×C4—22no—
579C3×C4—22no—
580C3×C4—42no—
581C3×C4—42no—
582C3×C4—41no—
583C3×C4—41no—
584C3×C4—42no—
585C3×C4—42no—
586C3×C4—62no—
587C3×C4—64no—
588C3×C4—81no—
589C3×C4—82no—
590C3×C4—121no—
591C3×C4—122no—
592Dic3—22no—
593Dic3—24no—
594Dic3—42no—
595Dic3—41no—
596C32#254311yescharacteristic, complemented, Sylow
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—32no—
605C23—32no—
606C23—32no—
607C23—32no—
608C23—62no—
609C23—62no—
610C23—61no—
611C23—62no—
612C23—61no—
613C23—62no—
614C23C23×C3×D311yescharacteristic
615D4—44no—
616D4—68no—
617D4—128no—
618D4—128no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—32no—
628C2×C4—34no—
629C2×C4—62no—
630C2×C4—62no—
631C2×C4—62no—
632C2×C4—61no—
633C2×C4—62no—
634C2×C4—62no—
635C2×C4—62no—
636C2×C4—62no—
637C2×C4—124no—
638C2×C4—128no—
639C2×C4—124no—
640C2×C4C3×D3×D412yes—
641C2×C4C3×D3×D412yes—
642C2×C3—21no—
643C2×C3—21no—
644C2×C3—22no—
645C2×C3—22no—
646C2×C3—21no—
647C2×C3—64no—
648C2×C3—84no—
649C2×C3—82no—
650C2×C3—82no—
651C2×C3—122no—
652C2×C3#558911yescharacteristic
653C2×C3D3×#12111yescharacteristic
654C2×C3#561212yes—
655C2×C3#566112yes—
656C2×C3#566811yescharacteristic
657C2×C3C2×C3×#12111yescharacteristic
658C2×C3C3×#53211yescharacteristic
659C2×C3C3×#53411yescharacteristic
660C2×C3C3×#54612yes—
661C2×C3C3×#55312yes—
662D3—24no—
663D3—42no—
664C22—34no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—62no—
673C22—64no—
674C22—64no—
675C22—62no—
676C22—62no—
677C22—64no—
678C22—121no—
679C22—122no—
680C22—121no—
681C22C2×C3×D3×D411yescharacteristic
682C22C2×C3×D3×D411yescharacteristic
683C22C3×#100412yes—
684C22C3×D3×#4111yescharacteristic
685C22C3×D3×#4112yes—
686C4—22no—
687C4—22no—
688C4—41no—
689C4—42no—
690C4—62no—
691C4—64no—
692C4—122no—
693C4—121no—
694C3—21no—
695C3#7712011yescharacteristic, direct product factor
696C3C3×#254311yescharacteristic, complemented
697C2—64no—
698C2—82no—
699C2—122no—
700C2C3×#558911yescharacteristic
701C2C3×D3×#12111yescharacteristic
702C2C3×#561212yes—
703C2C3×#566112yes—
704C2C3×#566811yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutator, cosocleC23×C3C24×C3
FrattiniC23C23×C3×D3
FittingC32×#394C2
socleC23×C32C24
hypercenterC3×#394D3
hypocenterC3C3×#2543
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#394

Complements

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

NH ≅ G/Ntype
1. C2×C3×#938C2semidirect
2. C2×C3×#893C2semidirect
3. C2×C3×#884C2semidirect
4. C32×#394C2semidirect
5. C3×#5223C2semidirect
6. C3×#4981C2semidirect
7. C3×#4956C2semidirect
8. C3×#4956C2semidirect
9. C3×#4945C2semidirect
10. C3×#4674C2semidirect
11. C3×D3×#95C2semidirect
13. #77120C3direct (N × H)
43. C2×#938C2×C3semidirect
44. C2×#893C2×C3semidirect
45. C2×#884C2×C3semidirect
49. C3×#394D3semidirect
50. C3×#394C2×C3semidirect
56. #5223C2×C3semidirect
57. #4981C2×C3semidirect
58. #4956C2×C3semidirect
59. #4956C2×C3semidirect
60. #4945C2×C3semidirect
61. #4674C2×C3semidirect
62. D3×#95C2×C3semidirect
84. C2×C3×D12D4semidirect
91. C2×C3×C4×D3D4semidirect
211. #394C3×D3semidirect
274. C2×D12C3×D4semidirect
281. C2×C4×D3C3×D4semidirect
596. C32#2543semidirect
695. C3#77120direct (N × H)
696. C3C3×#2543semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9382
C2×C3×#8932
C2×C3×#8842
C32×#3942
C3×#52232
C3×#49812
C3×#49562
C3×#49452
C3×#46742
C3×D3×#952
C3×#25433
#771203