Finite Group Databasebeta

← D3×#4949 #11808481

Subgroups — D3×#4949 #11808481

Order 1152.

1909 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×C22⋊C4C211yesmaximal, characteristic
2C2×D3×#217C212yesmaximal
3C2×D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
4C2×D3×Dic3⋊C4C212yesmaximal, complemented
5#10592648C211yesmaximal, characteristic, complemented
6C3×#4949C211yesmaximal, characteristic, complemented
7#10591715C212yesmaximal, complemented
8D3×C3⋊#95C211yesmaximal, characteristic, complemented
9#10591324C211yesmaximal, characteristic, complemented
10#10591317C211yesmaximal, characteristic, complemented
11#10591303C212yesmaximal, complemented
12C2×#4949—31nomaximal
13D3×#399—31nomaximal
14C24×C3×D3C2211yescharacteristic
15C22×C3×C4×D3C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×D3×Dic3C2212yes—
18C22×D3×Dic3C2212yes—
19C2×C32×C22⋊C4C2211yescharacteristic
20C2×#3757C2212yes—
21C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
22C2×#3750C2212yescomplemented
23C2×C3×#217C2212yes—
24C2×C3×#217C2211yescharacteristic
25C2×C3×(C2×D3)⋊C4C2211yescharacteristic
26C2×C3×(C2×D3)⋊C4C2211yescharacteristic
27C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
28C2×C3×Dic3⋊C4C2212yescomplemented
29C3×D3×C22⋊C4—24no—
30D3×#217—28no—
31C2×#3724C2212yescomplemented
32C2×Dic3⋊Dic3C2212yescomplemented
33C2×Dic3⋊Dic3C2212yescomplemented
34C2×(C2×D3)⋊Dic3C2212yes—
35C2×(C2×D3)⋊Dic3C2212yes—
36D3×C4⋊Dic3—24no—
37D3×Dic3⋊C4—28no—
38#63658C2211yescharacteristic, complemented
39C3×C3⋊#95C2211yescharacteristic, complemented
40#63579C2212yescomplemented
41C22×C3×C22⋊C4—31no—
42C22×#217—32no—
43C22×C4⋊Dic3—31no—
44C22×Dic3⋊C4—32no—
45C2×D3×C4⋊C4—32no—
46C2×D3×C4⋊C4—31no—
47C2×D3×C22⋊C4—32no—
48C2×D3×C22⋊C4D311yescharacteristic
49C3×#399—31no—
50C2×C3⋊#95—31no—
51#4993—32no—
52#4993—31no—
53#4949—31no—
54#4949—31no—
55#4949—32no—
56#4949—32no—
57#4949—31no—
58#4949—32no—
59#4949—31no—
60#4949—61no—
61#4949D311yescharacteristic, direct product factor
62#4677—31no—
63D3×#95—31no—
64C24×C32C2311yescharacteristic
65C23×C3×D3—22no—
66C23×C3×D3—24no—
67C23×C3×D3—22no—
68C23×C3×D3—24no—
69C23×C3×D3Q814yes—
70C23×C3×D3C2311yescharacteristic
71C23×C3×D3C2311yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C22×C32×C4C2311yescharacteristic
74C22×C3⋊Dic3C2312yes—
75C22×C3⋊Dic3C2312yes—
76C22×C3×Dic3C2312yes—
77C22×C3×Dic3C2311yescharacteristic
78C22×C3×Dic3C2312yes—
79C22×C3×Dic3C2311yescharacteristic
80C2×C3×C4×D3—24no—
81C2×C3×C4×D3—22no—
82C2×C3×C4×D3—24no—
83C2×C3×C4×D3D414yes—
84C2×D3×Dic3—24no—
85C2×D3×Dic3—24no—
86C2×D3×Dic3—24no—
87C2×D3×Dic3—24no—
88C2×D3×Dic3—24no—
89C2×D3×Dic3D418yes—
90C32×C22⋊C4—22no—
91#3757—24no—
92C4⋊(C3⋊Dic3)—22no—
93#3750—24no—
94C3×#217—22no—
95C3×#217—24no—
96C3×(C2×D3)⋊C4—22no—
97C3×(C2×D3)⋊C4—22no—
98C3×C4⋊Dic3—22no—
99C3×Dic3⋊C4—24no—
100#3724—24no—
101Dic3⋊Dic3—24no—
102Dic3⋊Dic3—24no—
103(C2×D3)⋊Dic3—24no—
104(C2×D3)⋊Dic3—24no—
105C2×#399—91noSylow
106C25×C3—31no—
107C24×D3C2×D311yescharacteristic
108C23×C3×C4—31no—
109C23×C3×C4—31no—
110C23×Dic3—32no—
111C23×Dic3—32no—
112C22×C4×D3—32no—
113C22×C4×D3—32no—
114C22×C4×D3C2×D311yescharacteristic
115C22×C4×D3C2×D311yescharacteristic
116C2×C3×C4⋊C4—32no—
117C2×C3×C4⋊C4—31no—
118C2×C3×C22⋊C4—21no—
119C2×C3×C22⋊C4—31no—
120C2×C3×C22⋊C4—32no—
121C2×C3×C22⋊C4—31no—
122C2×C3×C22⋊C4—31no—
123C2×C3×C22⋊C4—64no—
124C2×C3×C22⋊C4C2×D311yescharacteristic
125C2×C3×C22⋊C4C2×D311yescharacteristic
126C2×#217—32no—
127C2×#217—32no—
128C2×#217—32no—
129C2×#217—32no—
130C2×#217—62no—
131C2×#217—68no—
132C2×#217C2×D311yescharacteristic
133C2×#217C2×D312yes—
134C2×(C2×D3)⋊C4—32no—
135C2×(C2×D3)⋊C4—32no—
136C2×(C2×D3)⋊C4C2×D311yescharacteristic
137C2×(C2×D3)⋊C4C2×D311yescharacteristic
138C2×C4⋊Dic3—31no—
139C2×C4⋊Dic3—31no—
140C2×C4⋊Dic3—32no—
141C2×C4⋊Dic3—32no—
142C2×C4⋊Dic3—61no—
143C2×C4⋊Dic3—64no—
144C2×C4⋊Dic3C2×D311yescharacteristic, complemented
145C2×Dic3⋊C4—32no—
146C2×Dic3⋊C4—32no—
147C2×Dic3⋊C4—32no—
148C2×Dic3⋊C4—32no—
149C2×Dic3⋊C4—32no—
150C2×Dic3⋊C4—32no—
151C2×Dic3⋊C4—62no—
152C2×Dic3⋊C4—68no—
153C2×Dic3⋊C4C2×D312yescomplemented
154D3×C4⋊C4—68no—
155D3×C4⋊C4—64no—
156D3×C22⋊C4—24no—
157D3×C22⋊C4—68no—
158C3×#95—31no—
159C3⋊#95—31no—
160C3⋊#95—31no—
161C3⋊#95—32no—
162C3⋊#95—32no—
163C3⋊#95—61no—
164C3⋊#95C2×D311yescharacteristic, complemented
165C23×C32—22no—
166C23×C32—21no—
167C23×C32—21no—
168C23×C32—22no—
169C23×C32C2×Q812yes—
170C23×C32C2411yescharacteristic
171C22×C3×D3—22no—
172C22×C3×D3—21no—
173C22×C3×D3—21no—
174C22×C3×D3—22no—
175C22×C3×D3—216no—
176C22×C3×D3—28no—
177C22×C3×D3—48no—
178C22×C3×D3—44no—
179C22×C3×D3—44no—
180C22×C3×D3C2×D414yes—
181C22×C3×D3C2×D412yes—
182C22×C3×D3C2×Q812yes—
183C22×C3×D3C2×Q812yes—
184C22×C3×D3#4112yes—
185C22×C3×D3#4114yes—
186C2×C32×C4—22no—
187C2×C32×C4—22no—
188C2×C32×C4—21no—
189C2×C32×C4C2×D412yes—
190C2×C3⋊Dic3—22no—
191C2×C3⋊Dic3—22no—
192C2×C3⋊Dic3—22no—
193C2×C3⋊Dic3—22no—
194C2×C3⋊Dic3—22no—
195C2×C3⋊Dic3C2×D414yes—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—21no—
204C2×C3×Dic3C2×D414yes—
205C2×C3×Dic3C2×D412yes—
206C3×C4×D3—28no—
207C3×C4×D3—44no—
208D3×Dic3—216no—
209D3×Dic3—48no—
210C22×C4⋊C4—92no—
211C22×C4⋊C4—91no—
212C22×C22⋊C4—31no—
213C22×C22⋊C4—92no—
214#399—31no—
215#399—91no—
216#399—92no—
217#399—92no—
218#399—91no—
219#399—91no—
220C2×#95—91no—
221C24×C3—21no—
222C24×C3—31no—
223C24×C3—34no—
224C24×C3—31no—
225C24×C3—62no—
226C24×C3—64no—
227C24×C3—64no—
228C24×C3—62no—
229C24×C3C22×D311yescharacteristic
230C24×C3C22×D311yescharacteristic
231C23×D3—22no—
232C23×D3—24no—
233C23×D3—24no—
234C23×D3—22no—
235C23×D3Dic614yes—
236C23×D3C22×D311yescharacteristic
237C23×D3C22×D311yescharacteristic
238C22×C3×C4—21no—
239C22×C3×C4—21no—
240C22×C3×C4—31no—
241C22×C3×C4—32no—
242C22×C3×C4—34no—
243C22×C3×C4—31no—
244C22×C3×C4—32no—
245C22×C3×C4—64no—
246C22×C3×C4—64no—
247C22×C3×C4—62no—
248C22×C3×C4C22×D311yescharacteristic
249C22×C3×C4C22×D311yescharacteristic
250C22×C3×C4C22×D311yescharacteristic
251C22×C3×C4C22×D311yescharacteristic
252C22×Dic3—32no—
253C22×Dic3—32no—
254C22×Dic3—38no—
255C22×Dic3—32no—
256C22×Dic3—32no—
257C22×Dic3—62no—
258C22×Dic3—62no—
259C22×Dic3—64no—
260C22×Dic3—64no—
261C22×Dic3—64no—
262C22×Dic3—64no—
263C22×Dic3—64no—
264C22×Dic3C22×D311yescharacteristic
265C22×Dic3C22×D312yes—
266C22×Dic3C22×D312yes—
267C22×Dic3C22×D311yescharacteristic
268C2×C4×D3—24no—
269C2×C4×D3—24no—
270C2×C4×D3—22no—
271C2×C4×D3—38no—
272C2×C4×D3—64no—
273C2×C4×D3—64no—
274C2×C4×D3—64no—
275C2×C4×D3—64no—
276C2×C4×D3—64no—
277C2×C4×D3#6714yes—
278C3×C4⋊C4—64no—
279C3×C4⋊C4—62no—
280C3×C22⋊C4—22no—
281C3×C22⋊C4—22no—
282C3×C22⋊C4—42no—
283C3×C22⋊C4—62no—
284C3×C22⋊C4—64no—
285C3×C22⋊C4—62no—
286C3×C22⋊C4—62no—
287#217—24no—
288#217—22no—
289#217—64no—
290#217—64no—
291#217—64no—
292#217—64no—
293#217—124no—
294(C2×D3)⋊C4—22no—
295(C2×D3)⋊C4—22no—
296(C2×D3)⋊C4—64no—
297(C2×D3)⋊C4—64no—
298C4⋊Dic3—22no—
299C4⋊Dic3—64no—
300C4⋊Dic3—64no—
301C4⋊Dic3—62no—
302C4⋊Dic3—62no—
303C4⋊Dic3—122no—
304Dic3⋊C4—24no—
305Dic3⋊C4—64no—
306Dic3⋊C4—64no—
307Dic3⋊C4—64no—
308Dic3⋊C4—64no—
309Dic3⋊C4—64no—
310Dic3⋊C4—64no—
311Dic3⋊C4—124no—
312C22×C32—24no—
313C22×C32—22no—
314C22×C32—42no—
315C22×C32—41no—
316C22×C32—41no—
317C22×C32C22×D412yes—
318C22×C32C22×D411yescharacteristic
319C22×C32C22×Q811yescharacteristic
320C22×C32C2×#4111yescharacteristic
321C22×C32C2×#4112yes—
322C2×C3×D3—24no—
323C2×C3×D3—22no—
324C2×C3×D3—42no—
325C2×C3×D3—41no—
326C2×C3×D3—41no—
327C2×C3×D3—416no—
328C2×C3×D3C22⋊Q818yes—
329C2×C3×D3C22⋊Q814yes—
330C2×C3×D3#12318yes—
331C2×C3×D3#12314yes—
332C2×C3×D3#12714yes—
333C32×C4—22no—
334C32×C4—41no—
335C3⋊Dic3—24no—
336C3⋊Dic3—42no—
337C3×Dic3—24no—
338C3×Dic3—22no—
339C3×Dic3—42no—
340C3×Dic3—41no—
341C25—31no—
342C23×C4—31no—
343C23×C4—31no—
344C23×C4—92no—
345C23×C4—92no—
346C2×C4⋊C4—32no—
347C2×C4⋊C4—31no—
348C2×C4⋊C4—92no—
349C2×C4⋊C4—92no—
350C2×C4⋊C4—92no—
351C2×C4⋊C4—92no—
352C2×C4⋊C4—91no—
353C2×C4⋊C4—184no—
354C2×C4⋊C4—188no—
355C2×C22⋊C4—31no—
356C2×C22⋊C4—32no—
357C2×C22⋊C4—31no—
358C2×C22⋊C4—31no—
359C2×C22⋊C4—64no—
360C2×C22⋊C4—92no—
361C2×C22⋊C4—92no—
362C2×C22⋊C4—92no—
363C2×C22⋊C4—188no—
364C2×C22⋊C4D3211yescharacteristic
365#95—31no—
366#95—92no—
367#95—91no—
368C23×C3—21no—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3—21no—
372C23×C3—22no—
373C23×C3—21no—
374C23×C3—22no—
375C23×C3—21no—
376C23×C3—21no—
377C23×C3—22no—
378C23×C3—34no—
379C23×C3—32no—
380C23×C3—32no—
381C23×C3—32no—
382C23×C3—34no—
383C23×C3—32no—
384C23×C3—42no—
385C23×C3—41no—
386C23×C3—41no—
387C23×C3—42no—
388C23×C3—616no—
389C23×C3—68no—
390C23×C3—62no—
391C23×C3—61no—
392C23×C3—61no—
393C23×C3—62no—
394C23×C3—128no—
395C23×C3—124no—
396C23×C3—124no—
397C23×C3C2×Dic612yes—
398C23×C3D3×Q812yes—
399C23×C3C23×D311yescharacteristic
400C23×C3C23×D311yescharacteristic
401C22×D3—21no—
402C22×D3—22no—
403C22×D3—22no—
404C22×D3—21no—
405C22×D3—216no—
406C22×D3—28no—
407C22×D3—48no—
408C22×D3—44no—
409C22×D3—44no—
410C22×D3C2×Dic612yes—
411C22×D3C2×Dic612yes—
412C22×D3#23512yes—
413C22×D3D3×D414yes—
414C22×D3#23714yes—
415C22×D3C2×#6712yes—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—22no—
423C2×C3×C4—32no—
424C2×C3×C4—34no—
425C2×C3×C4—42no—
426C2×C3×C4—42no—
427C2×C3×C4—41no—
428C2×C3×C4—68no—
429C2×C3×C4—62no—
430C2×C3×C4—62no—
431C2×C3×C4—62no—
432C2×C3×C4—62no—
433C2×C3×C4—62no—
434C2×C3×C4—62no—
435C2×C3×C4—61no—
436C2×C3×C4—62no—
437C2×C3×C4—124no—
438C2×C3×C4D3×D412yes—
439C2×C3×C4C2×#6712yes—
440C2×Dic3—22no—
441C2×Dic3—22no—
442C2×Dic3—22no—
443C2×Dic3—22no—
444C2×Dic3—22no—
445C2×Dic3—22no—
446C2×Dic3—22no—
447C2×Dic3—21no—
448C2×Dic3—34no—
449C2×Dic3—34no—
450C2×Dic3—64no—
451C2×Dic3—616no—
452C2×Dic3—62no—
453C2×Dic3—62no—
454C2×Dic3—62no—
455C2×Dic3—62no—
456C2×Dic3—62no—
457C2×Dic3—62no—
458C2×Dic3—62no—
459C2×Dic3—62no—
460C2×Dic3—62no—
461C2×Dic3—62no—
462C2×Dic3—122no—
463C2×Dic3—122no—
464C2×Dic3—122no—
465C2×Dic3—122no—
466C2×Dic3—122no—
467C2×Dic3—128no—
468C2×Dic3D3×D414yes—
469C2×Dic3C2×#6712yes—
470C4×D3—28no—
471C4×D3—44no—
472C4×D3—616no—
473C4×D3—128no—
474C2×C32—42no—
475C2×C32C2×C22⋊Q812yes—
476C2×C32C2×C22⋊Q811yescharacteristic
477C2×C32C2×#12312yes—
478C2×C32C2×#12311yescharacteristic
479C2×C32C2×#12711yescharacteristic
480C3×D3—42no—
481C3×D3#39918yescomplemented
482C24—31no—
483C24—31no—
484C24—34no—
485C24—62no—
486C24—64no—
487C24—62no—
488C24—64no—
489C24C2×D3211yescharacteristic
490C22×C4—32no—
491C22×C4—31no—
492C22×C4—34no—
493C22×C4—31no—
494C22×C4—32no—
495C22×C4—64no—
496C22×C4—62no—
497C22×C4—64no—
498C22×C4—98no—
499C22×C4—92no—
500C22×C4—92no—
501C22×C4—184no—
502C22×C4—184no—
503C22×C4—184no—
504C22×C4—184no—
505C22×C4—184no—
506C22×C4C2×D3211yescharacteristic
507C22×C4C2×D3211yescharacteristic
508C4⋊C4—64no—
509C4⋊C4—62no—
510C4⋊C4—184no—
511C4⋊C4—184no—
512C4⋊C4—184no—
513C4⋊C4—184no—
514C4⋊C4—182no—
515C22⋊C4—22no—
516C22⋊C4—62no—
517C22⋊C4—62no—
518C22⋊C4—64no—
519C22⋊C4—62no—
520C22⋊C4—184no—
521C22⋊C4—184no—
522C22⋊C4—184no—
523C22×C3—24no—
524C22×C3—22no—
525C22×C3—24no—
526C22×C3—22no—
527C22×C3—21no—
528C22×C3—21no—
529C22×C3—22no—
530C22×C3—22no—
531C22×C3—21no—
532C22×C3—38no—
533C22×C3—34no—
534C22×C3—34no—
535C22×C3—38no—
536C22×C3—34no—
537C22×C3—44no—
538C22×C3—42no—
539C22×C3—41no—
540C22×C3—42no—
541C22×C3—41no—
542C22×C3—42no—
543C22×C3—41no—
544C22×C3—41no—
545C22×C3—64no—
546C22×C3—62no—
547C22×C3—81no—
548C22×C3—82no—
549C22×C3—81no—
550C22×C3—1216no—
551C22×C3—121no—
552C22×C3—122no—
553C22×C3—121no—
554C22×C3C22×Dic611yescharacteristic
555C22×C3C2×#23511yescharacteristic
556C22×C3C2×D3×D412yes—
557C22×C3C2×D3×D412yes—
558C22×C3C2×D3×D411yescharacteristic
559C22×C3C2×#23712yes—
560C22×C3C2×D3×Q811yescharacteristic
561C22×C3D3×#4111yescharacteristic
562C22×C3D3×#4112yes—
563C22×C3C22×#6711yescharacteristic
564C2×D3—24no—
565C2×D3—22no—
566C2×D3—42no—
567C2×D3—41no—
568C2×D3—41no—
569C2×D3—416no—
570C2×D3#87818yes—
571C2×D3#88318yes—
572C2×D3#92414yes—
573C2×D3#93514yes—
574C2×D3#94014yes—
575C3×C4—22no—
576C3×C4—22no—
577C3×C4—42no—
578C3×C4—41no—
579C3×C4—41no—
580C3×C4—62no—
581C3×C4—64no—
582C3×C4—81no—
583C3×C4—121no—
584C3×C4—122no—
585Dic3—24no—
586Dic3—22no—
587Dic3—42no—
588Dic3—41no—
589Dic3—64no—
590Dic3—64no—
591Dic3—124no—
592Dic3—122no—
593Dic3—122no—
594Dic3—242no—
595C32C2×#39911yescharacteristic, complemented, Sylow
596C23—21no—
597C23—22no—
598C23—22no—
599C23—21no—
600C23—32no—
601C23—32no—
602C23—34no—
603C23—34no—
604C23—32no—
605C23—32no—
606C23—616no—
607C23—68no—
608C23—61no—
609C23—62no—
610C23—62no—
611C23—61no—
612C23—124no—
613C23—128no—
614C23—124no—
615C23D3×Dic612yes—
616C23C22×D3211yescharacteristic
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—34no—
621C2×C4—32no—
622C2×C4—68no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—62no—
628C2×C4—62no—
629C2×C4—61no—
630C2×C4—62no—
631C2×C4—94no—
632C2×C4—124no—
633C2×C4—1816no—
634C2×C4—182no—
635C2×C4—182no—
636C2×C4—182no—
637C2×C4—182no—
638C2×C4—182no—
639C2×C4—368no—
640C2×C4D3×#6712yes—
641C2×C3—22no—
642C2×C3—21no—
643C2×C3—21no—
644C2×C3—22no—
645C2×C3—21no—
646C2×C3—38no—
647C2×C3—42no—
648C2×C3—42no—
649C2×C3—82no—
650C2×C3—122no—
651C2×C3C2×#87812yes—
652C2×C3C2×#88312yes—
653C2×C3D3×C22⋊Q812yes—
654C2×C3D3×C22⋊Q811yescharacteristic
655C2×C3D3×#12311yescharacteristic
656C2×C3D3×#12312yes—
657C2×C3D3×#12711yescharacteristic
658C2×C3C2×#92411yescharacteristic
659C2×C3C2×#93511yescharacteristic
660C2×C3C2×#94011yescharacteristic
661D3—42no—
662D3#494918yesdirect product factor
663C22—24no—
664C22—22no—
665C22—38no—
666C22—34no—
667C22—34no—
668C22—38no—
669C22—34no—
670C22—41no—
671C22—42no—
672C22—41no—
673C22—64no—
674C22—62no—
675C22—1216no—
676C22—121no—
677C22—122no—
678C22—121no—
679C22C2×D3×Dic611yescharacteristic
680C22D3×#23511yescharacteristic
681C22D32×D412yes—
682C22D3×#23712yes—
683C22C2×D3×#6711yescharacteristic
684C4—22no—
685C4—41no—
686C4—62no—
687C4—64no—
688C4—121no—
689C4—122no—
690C4—184no—
691C4—362no—
692C3—21no—
693C3D3×#39911yescharacteristic, complemented
694C3C2×#494911yescharacteristic, complemented
695C2—38no—
696C2—42no—
697C2—122no—
698C2D3×#87812yes—
699C2D3×#88312yes—
700C2D3×#92411yescharacteristic
701C2D3×#93511yescharacteristic
702C2D3×#94011yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C22⋊C4C22
prime radicalC24×C3×D3C22
hypercenterC2×C22⋊C4D32
hypocenterC32C2×#399
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
3. C2×D3×C4⋊Dic3C2semidirect
4. C2×D3×Dic3⋊C4C2semidirect
5. #10592648C2semidirect
6. C3×#4949C2semidirect
7. #10591715C2semidirect
8. D3×C3⋊#95C2semidirect
9. #10591324C2semidirect
10. #10591317C2semidirect
11. #10591303C2semidirect
21. C2×C4⋊(C3⋊Dic3)C22semidirect
22. C2×#3750C22semidirect
27. C2×C3×C4⋊Dic3C22semidirect
28. C2×C3×Dic3⋊C4C22semidirect
31. C2×#3724C22semidirect
32. C2×Dic3⋊Dic3C22semidirect
33. C2×Dic3⋊Dic3C22semidirect
38. #63658C22semidirect
39. C3×C3⋊#95C22semidirect
40. #63579C22semidirect
61. #4949D3direct (N × H)
144. C2×C4⋊Dic3C2×D3semidirect
153. C2×Dic3⋊C4C2×D3semidirect
164. C3⋊#95C2×D3semidirect
481. C3×D3#399semidirect
595. C32C2×#399semidirect
662. D3#4949direct (N × H)
693. C3D3×#399semidirect
694. C3C2×#4949semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×C22⋊C42
C2×D3×#2172
C2×D3×C4⋊Dic32
C2×D3×Dic3⋊C42
#105926482
C3×#49492
#105917152
D3×C3⋊#952
#105913242
#105913172
#105913032
C2×#49493
D3×#3993