Finite Group Databasebeta

← #11803305

Subgroups — #11803305

Order 1152.

1759 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#63977C211yesmaximal, characteristic
2C22×(C2×D3)⋊Dic3C211yesmaximal, characteristic, complemented
3C2×#63952C211yesmaximal, characteristic, complemented
4#10592657C211yesmaximal, characteristic, complemented
5C3×#4955C211yesmaximal, characteristic, complemented
6C3×Dic3×C22⋊C4C211yesmaximal, characteristic, complemented
7#10591719C211yesmaximal, characteristic, complemented
8#10591383C212yesmaximal, complemented
9#10591284C212yesmaximal, complemented
10#10591279C212yesmaximal, complemented
11#10591275C212yesmaximal, complemented
12#73821—31nomaximal
13#73569—31nomaximal
14C24×C3×D3C2211yescharacteristic
15C22×#638C2211yescharacteristic
16C23×C3⋊Dic3C2211yescharacteristic
17C23×C3×Dic3C2211yescharacteristic
18C22×#626C2212yes—
19C22×#624C2211yescharacteristic, complemented
20C2×C32×C22⋊C4C2211yescharacteristic
21C2×#3752C2212yescomplemented
22C2×C3×#217C2211yescharacteristic
23C2×C3×#217C2211yescharacteristic
24C2×C3×(C2×D3)⋊C4C2212yes—
25C2×C3×(C2×D3)⋊C4C2212yes—
26C2×C3×C4×Dic3C2212yescomplemented
27#63977C418yescomplemented
28C2×#3724C2211yescharacteristic, complemented
29C2×Dic3⋊Dic3C2212yescomplemented
30C2×#3722C2211yescharacteristic, complemented
31C2×(C2×D3)⋊Dic3—24no—
32C2×(C2×D3)⋊Dic3C2212yes—
33C2×(C2×D3)⋊Dic3C2212yes—
34C2×(C2×D3)⋊Dic3C2212yes—
35C2×Dic32C2211yescharacteristic, complemented
36#63952—24no—
37#63658C2212yescomplemented
38C3×C3⋊#95C2212yescomplemented
39#63579C2212yescomplemented
40C2×#953—31no—
41C22×#217—31no—
42C2×C4×#67—31no—
43C22×(C2×D3)⋊C4—31no—
44C2×#882—31no—
45C2×#67⋊C4—31no—
46C3×#379—31no—
47C3×C4×C22⋊C4—31no—
48#4958—31no—
49#4958—31no—
50#4958—61no—
51#4957—32no—
52#4956—32no—
53#4955D311yescharacteristic, complemented
54#4950—31no—
55#4946—31no—
56#4945—32no—
57#4944—32no—
58Dic3×C22⋊C4D311yescharacteristic, complemented
59#4940—32no—
60#4939—32no—
61#4670—32no—
62#4665—32no—
63C24×C32C2311yescharacteristic
64C23×C3⋊D3C2311yescharacteristic
65C23×C3×D3—22no—
66C23×C3×D3—22no—
67C23×C3×D3—42no—
68C23×C3×D3—42no—
69C23×C3×D3C2×C414yescomplemented
70C23×C3×D3C2312yes—
71C22×C32×C4C2312yes—
72C2×#638—22no—
73C2×#638—22no—
74C2×#638C2×C414yes—
75C22×C3⋊Dic3—22no—
76C22×C3⋊Dic3—42no—
77C22×C3⋊Dic3C2312yes—
78C22×C3⋊Dic3C2311yescharacteristic
79C22×C3×Dic3—42no—
80C22×C3×Dic3D414yescomplemented
81C22×C3×Dic3C2311yescharacteristic
82C22×C3×Dic3C2311yescharacteristic
83C22×C3×Dic3C2312yes—
84C22×C3×Dic3C2311yescharacteristic
85C22×C3×Dic3C2311yescharacteristic
86C2×#626—42no—
87C2×#626—42no—
88C2×#626C2×C418yescomplemented
89C2×#624—22no—
90C2×#624—42no—
91C32×C22⋊C4—22no—
92#3752—42no—
93C3×#217—22no—
94C3×#217C2×C414yescomplemented
95C3×(C2×D3)⋊C4—42no—
96C3×(C2×D3)⋊C4—42no—
97C3×C4×Dic3—42no—
98#3724—22no—
99Dic3⋊Dic3—42no—
100#3722—22no—
101(C2×D3)⋊Dic3—24no—
102(C2×D3)⋊Dic3—24no—
103(C2×D3)⋊Dic3C2×C418yescomplemented
104Dic32—22no—
105#2321—91noSylow
106C25×C3—31no—
107C24×D3C2×D311yescharacteristic
108C23×C3×C4—31no—
109C22×#67—31no—
110C22×#67—31no—
111C22×#67—32no—
112C22×#67—61no—
113C23×Dic3—31no—
114C23×Dic3—31no—
115C23×Dic3—61no—
116C23×Dic3C2×D311yescharacteristic
117C22×D12—32no—
118C22×C4×D3—31no—
119C22×C4×D3—31no—
120C2×C3×C22⋊C4—21no—
121C2×C3×C22⋊C4—31no—
122C2×C3×C22⋊C4—31no—
123C2×C3×C22⋊C4—32no—
124C2×C3×C22⋊C4—32no—
125C2×C3×C22⋊C4C2×D311yescharacteristic
126C2×C3×C22⋊C4C2×D311yescharacteristic
127C2×C3×C42—32no—
128#953—38no—
129C2×#217—32no—
130C2×#217—32no—
131C2×#217—32no—
132C2×#217—64no—
133C2×#217C2×D311yescharacteristic
134C2×#217C2×D311yescharacteristic
135C4×#67—64no—
136C2×(C2×D3)⋊C4—32no—
137C2×(C2×D3)⋊C4—32no—
138C2×(C2×D3)⋊C4—32no—
139C2×(C2×D3)⋊C4—31no—
140C2×(C2×D3)⋊C4—31no—
141C2×(C2×D3)⋊C4—32no—
142C2×(C2×D3)⋊C4—32no—
143C2×(C2×D3)⋊C4—62no—
144C2×(C2×D3)⋊C4—64no—
145C2×(C2×D3)⋊C4C2×D312yes—
146C2×(C2×D3)⋊C4C2×D312yes—
147C2×C4⋊Dic3—32no—
148C2×Dic3⋊C4—31no—
149C2×Dic3⋊C4—31no—
150C2×Dic3⋊C4—32no—
151C2×C4×Dic3—31no—
152C2×C4×Dic3—31no—
153C2×C4×Dic3C2×D312yescomplemented
154#882—38no—
155#67⋊C4—64no—
156C3×#95—32no—
157C3⋊#95—32no—
158C3⋊#95—32no—
159C3⋊#95—32no—
160C3⋊#95—32no—
161C3⋊#95—62no—
162C3⋊#95C2×D312yescomplemented
163C23×C32—22no—
164C23×C32—22no—
165C23×C32C22×C412yes—
166C23×C32C2×D412yes—
167C23×C32#4112yes—
168C23×C32C2411yescharacteristic
169C22×C3⋊D3—21no—
170C22×C3⋊D3—21no—
171C22×C3⋊D3—22no—
172C22×C3⋊D3—22no—
173C22×C3⋊D3C22×C412yes—
174C22×C3×D3—28no—
175C22×C3×D3—22no—
176C22×C3×D3—22no—
177C22×C3×D3—22no—
178C22×C3×D3—22no—
179C22×C3×D3—22no—
180C22×C3×D3—22no—
181C22×C3×D3—48no—
182C22×C3×D3—44no—
183C22×C3×D3—44no—
184C22×C3×D3—48no—
185C22×C3×D3C22×C414yes—
186C2×C32×C4—22no—
187C2×C32×C4—22no—
188C2×C32×C4—22no—
189#638—28no—
190C2×C3⋊Dic3—22no—
191C2×C3⋊Dic3—21no—
192C2×C3⋊Dic3—21no—
193C2×C3⋊Dic3—22no—
194C2×C3⋊Dic3—22no—
195C2×C3⋊Dic3—44no—
196C2×C3⋊Dic3C22×C412yes—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—21no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—22no—
205C2×C3×Dic3—44no—
206C2×C3×Dic3C22×C414yes—
207C2×C3×Dic3C2×D412yes—
208C2×C3×Dic3C2×D412yes—
209#626—48no—
210#624—44no—
211C2×#120—91no—
212C2×C4×D4—91no—
213C22×C22⋊C4—91no—
214#390—92no—
215#388—92no—
216#388—92no—
217#386—92no—
218#386—91no—
219#385—91no—
220#379—31no—
221C4×C22⋊C4—31no—
222C24×C3—21no—
223C24×C3—32no—
224C24×C3—34no—
225C24×C3—62no—
226C24×C3—62no—
227C24×C3—122no—
228C24×C3—122no—
229C24×C3C22×D311yescharacteristic
230C24×C3C22×D311yescharacteristic
231C23×D3—22no—
232C23×D3—22no—
233C23×D3—31no—
234C23×D3—31no—
235C23×D3—42no—
236C23×D3—42no—
237C23×D3—61no—
238C23×D3C4×D314yescomplemented
239C23×D3C22×D312yes—
240C22×C3×C4—22no—
241C22×C3×C4—32no—
242C22×C3×C4—31no—
243C22×C3×C4—31no—
244C22×C3×C4—34no—
245C22×C3×C4—31no—
246C22×C3×C4—31no—
247C22×C3×C4—122no—
248C22×C3×C4C22×D312yes—
249C22×C3×C4C22×D312yes—
250C2×#67—34no—
251C2×#67—34no—
252C2×#67—38no—
253C2×#67—64no—
254C2×#67—62no—
255C2×#67—62no—
256C2×#67—62no—
257C2×#67—62no—
258C2×#67—122no—
259C2×#67—122no—
260C2×#67—122no—
261C2×#67—122no—
262C22×Dic3—31no—
263C22×Dic3—31no—
264C22×Dic3—32no—
265C22×Dic3—32no—
266C22×Dic3—42no—
267C22×Dic3—61no—
268C22×Dic3—62no—
269C22×Dic3—62no—
270C22×Dic3—62no—
271C22×Dic3—122no—
272C22×Dic3—122no—
273C22×Dic3—122no—
274C22×Dic3—124no—
275C22×Dic3D1214yescomplemented
276C22×Dic3C22×D311yescharacteristic
277C22×Dic3C22×D311yescharacteristic
278C22×Dic3C22×D312yes—
279C22×Dic3C22×D311yescharacteristic
280C22×Dic3C22×D311yescharacteristic
281C2×D12—38no—
282C2×D12—122no—
283C2×D12—122no—
284C2×C4×D3—62no—
285C2×C4×D3—62no—
286C2×C4×D3—122no—
287C2×C4×D3—122no—
288C3×C22⋊C4—22no—
289C3×C22⋊C4—22no—
290C3×C22⋊C4—34no—
291C3×C22⋊C4—42no—
292C3×C22⋊C4—62no—
293C3×C22⋊C4—122no—
294C3×C22⋊C4—122no—
295C3×C42—122no—
296#217—22no—
297#217—38no—
298#217—64no—
299#217—64no—
300#217C4×D314yescomplemented
301(C2×D3)⋊C4—38no—
302(C2×D3)⋊C4—42no—
303(C2×D3)⋊C4—42no—
304(C2×D3)⋊C4—62no—
305(C2×D3)⋊C4—64no—
306(C2×D3)⋊C4—64no—
307(C2×D3)⋊C4—62no—
308(C2×D3)⋊C4—122no—
309(C2×D3)⋊C4—122no—
310(C2×D3)⋊C4—124no—
311C4⋊Dic3—122no—
312Dic3⋊C4—62no—
313Dic3⋊C4—62no—
314Dic3⋊C4—122no—
315C4×Dic3—42no—
316C4×Dic3—62no—
317C4×Dic3—62no—
318C22×C32—24no—
319C22×C32—22no—
320C22×C32—22no—
321C22×C32—24no—
322C22×C32C4×D414yes—
323C22×C32C23×C411yescharacteristic
324C22×C32C22×D411yescharacteristic
325C22×C32C2×#4111yescharacteristic
326C22×C32H(5,𝔽2)12yes—
327C22×C32H(5,𝔽2)12yes—
328C2×C3⋊D3—22no—
329C2×C3⋊D3—24no—
330C2×C3⋊D3—41no—
331C2×C3⋊D3—41no—
332C2×C3⋊D3—42no—
333C2×C3×D3—24no—
334C2×C3×D3—24no—
335C2×C3×D3—24no—
336C2×C3×D3—416no—
337C2×C3×D3—42no—
338C2×C3×D3—42no—
339C2×C3×D3—42no—
340C2×C3×D3—42no—
341C32×C4—42no—
342C3⋊Dic3—22no—
343C3⋊Dic3—42no—
344C3×Dic3—24no—
345C3×Dic3—22no—
346C3×Dic3—22no—
347C3×Dic3—41no—
348C3×Dic3—41no—
349C25—31no—
350C22×D4—92no—
351C22×D4—91no—
352C23×C4—31no—
353C23×C4—91no—
354C23×C4—91no—
355#120—98no—
356C4×D4—184no—
357C2×C4⋊C4—91no—
358C2×C4⋊C4—92no—
359C2×C22⋊C4—31no—
360C2×C22⋊C4—31no—
361C2×C22⋊C4—32no—
362C2×C22⋊C4—32no—
363C2×C22⋊C4—92no—
364C2×C22⋊C4—91no—
365C2×C22⋊C4—92no—
366C2×C22⋊C4—92no—
367C2×C22⋊C4—92no—
368C2×C22⋊C4—184no—
369C2×C22⋊C4D3211yescharacteristic
370C2×C42—32no—
371C2×C42—91no—
372#95—32no—
373#95—92no—
374#95—92no—
375C23×C3—22no—
376C23×C3—22no—
377C23×C3—22no—
378C23×C3—22no—
379C23×C3—21no—
380C23×C3—22no—
381C23×C3—22no—
382C23×C3—22no—
383C23×C3—34no—
384C23×C3—42no—
385C23×C3—42no—
386C23×C3—68no—
387C23×C3—62no—
388C23×C3—62no—
389C23×C3—62no—
390C23×C3—62no—
391C23×C3—62no—
392C23×C3—62no—
393C23×C3—128no—
394C23×C3—124no—
395C23×C3—124no—
396C23×C3—128no—
397C23×C3C2×C4×D312yes—
398C23×C3C2×C4×D312yes—
399C23×C3C2×D1212yes—
400C23×C3#23512yes—
401C23×C3D3×D412yes—
402C23×C3#23712yes—
403C23×C3C23×D311yescharacteristic
404C23×C3C23×D311yescharacteristic
405C22×D3—28no—
406C22×D3—22no—
407C22×D3—22no—
408C22×D3—22no—
409C22×D3—22no—
410C22×D3—22no—
411C22×D3—22no—
412C22×D3—32no—
413C22×D3—32no—
414C22×D3—48no—
415C22×D3—44no—
416C22×D3—44no—
417C22×D3—48no—
418C22×D3—62no—
419C22×D3—61no—
420C22×D3—61no—
421C22×D3—61no—
422C22×D3—61no—
423C22×D3—62no—
424C22×D3—62no—
425C22×D3—62no—
426C22×D3—62no—
427C22×D3—122no—
428C22×D3—121no—
429C22×D3—121no—
430C22×D3—122no—
431C22×D3C2×C4×D314yes—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—34no—
439C2×C3×C4—32no—
440C2×C3×C4—32no—
441C2×C3×C4—42no—
442C2×C3×C4—42no—
443C2×C3×C4—42no—
444C2×C3×C4—62no—
445C2×C3×C4—62no—
446C2×C3×C4—62no—
447C2×C3×C4—62no—
448C2×C3×C4—61no—
449C2×C3×C4—61no—
450C2×C3×C4—62no—
451C2×C3×C4—62no—
452C2×C3×C4—124no—
453#67—68no—
454#67—68no—
455#67—128no—
456#67—128no—
457C2×Dic3—22no—
458C2×Dic3—22no—
459C2×Dic3—22no—
460C2×Dic3—22no—
461C2×Dic3—21no—
462C2×Dic3—21no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—32no—
466C2×Dic3—32no—
467C2×Dic3—44no—
468C2×Dic3—62no—
469C2×Dic3—61no—
470C2×Dic3—61no—
471C2×Dic3—61no—
472C2×Dic3—61no—
473C2×Dic3—64no—
474C2×Dic3—62no—
475C2×Dic3—62no—
476C2×Dic3—62no—
477C2×Dic3—62no—
478C2×Dic3—62no—
479C2×Dic3—62no—
480C2×Dic3—122no—
481C2×Dic3—122no—
482C2×Dic3—121no—
483C2×Dic3—121no—
484C2×Dic3—124no—
485C2×Dic3—124no—
486C2×Dic3—128no—
487C2×Dic3C2×C4×D314yes—
488C2×Dic3C2×D1212yes—
489C2×Dic3C2×D1212yes—
490D12—128no—
491C4×D3—124no—
492C4×D3—124no—
493C2×C32—24no—
494C2×C32C2×C4×D411yescharacteristic
495C2×C32#51812yes—
496C2×C32#53411yescharacteristic
497C2×C32#53511yescharacteristic
498C2×C32#53812yes—
499C3⋊D3—42no—
500C3×D3—44no—
501C24—32no—
502C24—34no—
503C24—62no—
504C24—62no—
505C24—91no—
506C24—122no—
507C24—122no—
508C24C2×D3211yescharacteristic
509C2×D4—98no—
510C2×D4—94no—
511C2×D4—182no—
512C2×D4—182no—
513C2×D4—362no—
514C2×D4—362no—
515C22×C4—31no—
516C22×C4—32no—
517C22×C4—31no—
518C22×C4—34no—
519C22×C4—31no—
520C22×C4—31no—
521C22×C4—91no—
522C22×C4—92no—
523C22×C4—122no—
524C22×C4—182no—
525C22×C4—182no—
526C22×C4—362no—
527C22×C4—362no—
528C22×C4C2×D3212yes—
529C4⋊C4—182no—
530C4⋊C4—362no—
531C22⋊C4—22no—
532C22⋊C4—34no—
533C22⋊C4—62no—
534C22⋊C4—98no—
535C22⋊C4—122no—
536C22⋊C4—122no—
537C22⋊C4—182no—
538C22⋊C4—184no—
539C22⋊C4—184no—
540C22⋊C4—362no—
541C42—122no—
542C42—182no—
543C22×C3—24no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—24no—
547C22×C3—24no—
548C22×C3—22no—
549C22×C3—22no—
550C22×C3—24no—
551C22×C3—21no—
552C22×C3—21no—
553C22×C3—22no—
554C22×C3—22no—
555C22×C3—21no—
556C22×C3—24no—
557C22×C3—42no—
558C22×C3—44no—
559C22×C3—44no—
560C22×C3—42no—
561C22×C3—64no—
562C22×C3—64no—
563C22×C3—64no—
564C22×C3—1216no—
565C22×C3—122no—
566C22×C3—122no—
567C22×C3—122no—
568C22×C3—122no—
569C22×C3C4×D1214yes—
570C22×C3#67⋊C414yes—
571C22×C3C22×C4×D311yescharacteristic
572C22×C3C22×C4×D311yescharacteristic
573C22×C3C22×D1211yescharacteristic
574C22×C3C2×#23511yescharacteristic
575C22×C3C2×D3×D411yescharacteristic
576C22×C3C2×#23711yescharacteristic
577C22×C3#100412yes—
578C22×C3#100412yes—
579C22×C3#100412yes—
580C22×C3#100912yes—
581C2×D3—24no—
582C2×D3—24no—
583C2×D3—24no—
584C2×D3—416no—
585C2×D3—42no—
586C2×D3—42no—
587C2×D3—42no—
588C2×D3—42no—
589C2×D3—62no—
590C2×D3—62no—
591C2×D3—64no—
592C2×D3—64no—
593C2×D3—122no—
594C2×D3—124no—
595C2×D3—121no—
596C2×D3—121no—
597C2×D3—122no—
598C2×D3—121no—
599C2×D3—121no—
600C2×D3—122no—
601C2×D3—241no—
602C2×D3—242no—
603C2×D3—241no—
604C3×C4—42no—
605C3×C4—42no—
606C3×C4—64no—
607C3×C4—62no—
608C3×C4—62no—
609C3×C4—82no—
610C3×C4—121no—
611C3×C4—121no—
612Dic3—22no—
613Dic3—22no—
614Dic3—24no—
615Dic3—41no—
616Dic3—41no—
617Dic3—62no—
618Dic3—62no—
619Dic3—122no—
620Dic3—124no—
621Dic3—122no—
622Dic3—122no—
623C32#232111yescharacteristic, complemented, Sylow
624C23—22no—
625C23—22no—
626C23—34no—
627C23—62no—
628C23—62no—
629C23—62no—
630C23—62no—
631C23—62no—
632C23—62no—
633C23—68no—
634C23—92no—
635C23—128no—
636C23—124no—
637C23—128no—
638C23—124no—
639C23—181no—
640C23—182no—
641C23—182no—
642C23—181no—
643C23C4×D3212yes—
644C23D3×D1212yes—
645C23#380412yes—
646C23C22×D3211yescharacteristic
647D4—188no—
648D4—368no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—34no—
653C2×C4—32no—
654C2×C4—32no—
655C2×C4—62no—
656C2×C4—62no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—92no—
664C2×C4—124no—
665C2×C4—181no—
666C2×C4—181no—
667C2×C4—182no—
668C2×C4—182no—
669C2×C4—182no—
670C2×C4—364no—
671C2×C4—364no—
672C2×C3—24no—
673C2×C3—24no—
674C2×C3—21no—
675C2×C3—22no—
676C2×C3—21no—
677C2×C3—22no—
678C2×C3—21no—
679C2×C3—44no—
680C2×C3—124no—
681C2×C3C2×C4×D1211yescharacteristic
682C2×C3C2×#67⋊C411yescharacteristic
683C2×C3#548612yes—
684C2×C3#549311yescharacteristic
685C2×C3#552511yescharacteristic
686C2×C3#554512yes—
687C2×C3#556012yes—
688C2×C3#558911yescharacteristic
689C2×C3#559211yescharacteristic
690C2×C3#559312yes—
691D3—44no—
692D3—122no—
693D3—122no—
694D3—242no—
695C22—22no—
696C22—24no—
697C22—24no—
698C22—22no—
699C22—64no—
700C22—64no—
701C22—64no—
702C22—1216no—
703C22—122no—
704C22—122no—
705C22—122no—
706C22—122no—
707C22—182no—
708C22—184no—
709C22—361no—
710C22—362no—
711C22—361no—
712C22#6388014yes—
713C22C2×C4×D3211yescharacteristic
714C22C2×D3×D1211yescharacteristic
715C22#6431312yes—
716C22#6431412yes—
717C22C2×#380411yescharacteristic
718C4—42no—
719C4—64no—
720C4—62no—
721C4—62no—
722C4—121no—
723C4—121no—
724C4—182no—
725C4—362no—
726C3—21no—
727C3#7356911yescharacteristic, complemented
728C3#7382111yescharacteristic, complemented
729C2—24no—
730C2—124no—
731C2—362no—
732C2#1059408011yescharacteristic
733C2#1059425412yes—
734C2#1059429011yescharacteristic
735C2C2×#6388011yescharacteristic
736C2#1059512312yes—
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC2×C32×C22⋊C4C22
socle, cosocleC23×C32C24
prime radicalC2×#63977C2
hypercenterC2×C22⋊C4D32
hypocenterC32#2321
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×(C2×D3)⋊Dic3C2semidirect
3. C2×#63952C2semidirect
4. #10592657C2semidirect
5. C3×#4955C2semidirect
6. C3×Dic3×C22⋊C4C2semidirect
7. #10591719C2semidirect
8. #10591383C2semidirect
9. #10591284C2semidirect
10. #10591279C2semidirect
11. #10591275C2semidirect
19. C22×#624C22semidirect
21. C2×#3752C22semidirect
26. C2×C3×C4×Dic3C22semidirect
27. #63977C4semidirect
28. C2×#3724C22semidirect
29. C2×Dic3⋊Dic3C22semidirect
30. C2×#3722C22semidirect
35. C2×Dic32C22semidirect
37. #63658C22semidirect
38. C3×C3⋊#95C22semidirect
39. #63579C22semidirect
53. #4955D3semidirect
58. Dic3×C22⋊C4D3semidirect
69. C23×C3×D3C2×C4semidirect
80. C22×C3×Dic3D4semidirect
88. C2×#626C2×C4semidirect
94. C3×#217C2×C4semidirect
103. (C2×D3)⋊Dic3C2×C4semidirect
153. C2×C4×Dic3C2×D3semidirect
162. C3⋊#95C2×D3semidirect
238. C23×D3C4×D3semidirect
275. C22×Dic3D12semidirect
300. #217C4×D3semidirect
623. C32#2321semidirect
727. C3#73569semidirect
728. C3#73821semidirect

Maximal subgroups

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

subgroupindex
C2×#639772
C22×(C2×D3)⋊Dic32
C2×#639522
#105926572
C3×#49552
C3×Dic3×C22⋊C42
#105917192
#105913832
#105912842
#105912792
#105912752
#738213
#735693