Finite Group Databasebeta

← C3×#86294 #11901172

Subgroups — C3×#86294 #11901172

Order 1152.

3285 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#237C212yesmaximal, complemented
2C32×#534C211yesmaximal, characteristic, complemented
3C3×#5804C212yesmaximal, complemented
4C3×#5656C214yesmaximal, complemented
5C3×#5648C214yesmaximal, complemented
6C3×#5597C214yesmaximal, complemented
7C3×#5596C214yesmaximal, complemented
8C3×#5592C214yesmaximal, complemented
9C3×#5586C214yesmaximal, complemented
10C3×#5493C211yesmaximal, characteristic, complemented
11C2×C3×#877C211yesmaximal, characteristic, complemented
12C3×#3449—31nomaximal
13#86294C311yesmaximal, characteristic, direct product factor
14C22×C32×D4C2212yes—
15C22×C3×#67C2212yes—
16C22×C3×#67C2212yescomplemented
17C23×C3×Dic3C2211yescharacteristic
18C23×C3×Dic3C2212yescomplemented
19C2×C3×#237—216no—
20C2×C3×#237C2214yes—
21C2×C3×#237C2214yes—
22C2×C3×#237C2214yescomplemented
23C2×C3×#237C2214yescomplemented
24C22×C3×C4×D3C2212yescomplemented
25C22×C3×Dic6C2212yescomplemented
26C32×#123C2214yescomplemented
27C32×#121C2214yescomplemented
28C32×#120C2214yescomplemented
29C2×C32×C22⋊C4C2211yescharacteristic
30C3×#953C2214yescomplemented
31C2×C3×#217C2211yescharacteristic
32C3×#940C2214yescomplemented
33C3×#939C2218yescomplemented
34C3×#939C2218yescomplemented
35C3×#937C2214yescomplemented
36C3×#935C2214yescomplemented
37C3×D4×Dic3C2214yescomplemented
38C3×#930C2214yescomplemented
39C3×#929C2214yescomplemented
40C2×C3×Dic3⋊C4C2212yescomplemented
41C2×C3×C4×Dic3C2212yescomplemented
42C3×#896C2218yescomplemented
43C3×#893C2214yescomplemented
44C3×#888C2214yescomplemented
45C3×#886C2214yescomplemented
46C3×#885C2218yescomplemented
47C3×#884C2218yescomplemented
48C3×#882C2214yescomplemented
49C3×#67⋊C4C2218yescomplemented
50C3×#878C2218yescomplemented
51C3×#877C2214yescomplemented
52C3×#877C2214yescomplemented
53C22×C3×#41—32no—
54C22×#237C2×C312yescomplemented
55C3×#537—34no—
56C3×#536—34no—
57C3×#535—34no—
58C3×#534—21no—
59C3×#534—32no—
60C3×#534—31no—
61C3×#534D311yescharacteristic, complemented
62C3×#534C2×C311yescharacteristic, complemented
63C3×#532—34no—
64C3×#525—34no—
65C3×#525—34no—
66C2×C3×#117—31no—
67#5804C2×C312yescomplemented
68#5656C2×C314yescomplemented
69#5648C2×C314yescomplemented
70#5597C2×C314yescomplemented
71#5596C2×C314yescomplemented
72#5592C2×C314yescomplemented
73#5586C2×C314yescomplemented
74#5493C2×C311yescharacteristic, complemented
75C2×#877C2×C311yescharacteristic, complemented
76C24×C32C2312yes—
77C24×C32C2311yescharacteristic
78C23×C3×D3C2312yes—
79C2×C32×D4—28no—
80C2×C32×D4C2314yes—
81C2×C32×D4C2314yes—
82C2×C32×D4C2314yes—
83C22×C32×C4C2312yes—
84C22×C32×C4C2312yes—
85C2×C3×#67—28no—
86C2×C3×#67—28no—
87C2×C3×#67C2314yes—
88C2×C3×#67C2314yes—
89C2×C3×#67C2314yes—
90C2×C3×#67C2314yes—
91C2×C3×#67C2318yes—
92C22×C3×Dic3—28no—
93C22×C3×Dic3D418yescomplemented
94C22×C3×Dic3C2314yes—
95C22×C3×Dic3C2314yes—
96C22×C3×Dic3C2312yes—
97C22×C3×Dic3C2312yes—
98C22×C3×Dic3C2312yes—
99C22×C3×Dic3C2312yes—
100C22×C3×Dic3C2311yescharacteristic
101C22×C3×Dic3C2311yescharacteristic
102C3×#237—216no—
103C3×#237—216no—
104C3×#237—216no—
105C3×#237—216no—
106C2×C3×D12C2314yes—
107C2×C3×C4×D3—28no—
108C2×C3×C4×D3C2314yes—
109C2×C3×C4×D3C2314yes—
110C2×C3×Dic6—28no—
111C2×C3×Dic6C2314yes—
112C2×C3×Dic6C2314yes—
113C32×C4⋊C4C2314yes—
114C32×C22⋊C4C2314yes—
115C32×C22⋊C4C2318yes—
116C3×#217C2314yes—
117C3×#217C2318yes—
118C3×(C2×D3)⋊C4C2318yes—
119C3×(C2×D3)⋊C4C2318yes—
120C3×C4⋊Dic3C2314yes—
121C3×Dic3⋊C4C2318yes—
122C3×Dic3⋊C4C2318yes—
123C3×C4×Dic3C2314yes—
124C3×C4×Dic3C2314yes—
125#3449—31noSylow
126C2×C3×#41—34no—
127C2×C3×#41—34no—
128C2×C3×#41—34no—
129C2×C3×#41—34no—
130C2×C3×#41—616no—
131C22×C3×Q8—32no—
132C22×C3×D4—22no—
133C22×C3×D4—32no—
134C22×C3×D4—32no—
135C22×C3×D4C2×D312yes—
136C22×C3×D4C22×C312yes—
137C23×C3×C4—31no—
138C23×C3×C4—32no—
139C23×C3×C4—32no—
140C22×#67C22×C312yes—
141C22×#67C22×C312yescomplemented
142C23×Dic3C22×C311yescharacteristic
143C23×Dic3C22×C312yescomplemented
144C2×#237—216no—
145C2×#237C22×C314yes—
146C2×#237C22×C314yes—
147C2×#237C22×C314yescomplemented
148C2×#237C22×C314yescomplemented
149C22×C4×D3C22×C312yescomplemented
150C22×Dic6C22×C312yescomplemented
151C3×C4⋊Q8—34no—
152C3×#127—34no—
153C3×#124—38no—
154C3×#123—24no—
155C3×#123—34no—
156C3×#123—34no—
157C3×#123—34no—
158C3×#123C2×D314yescomplemented
159C3×#123C22×C314yescomplemented
160C3×C22⋊Q8—38no—
161C3×C22⋊Q8—38no—
162C3×#121—24no—
163C3×#121—38no—
164C3×#121—38no—
165C3×#121—34no—
166C3×#121—38no—
167C3×#121C2×D314yescomplemented
168C3×#121C22×C314yescomplemented
169C3×#120—24no—
170C3×#120—34no—
171C3×#120—34no—
172C3×#120—34no—
173C3×#120C2×D314yescomplemented
174C3×#120C22×C314yescomplemented
175C3×C4×D4—34no—
176C3×C4×D4—34no—
177C3×C4×D4—38no—
178C3×#117—34no—
179C3×#117—34no—
180C2×C3×C4⋊C4—32no—
181C2×C3×C22⋊C4—21no—
182C2×C3×C22⋊C4—31no—
183C2×C3×C22⋊C4C2×D311yescharacteristic
184C2×C3×C22⋊C4C22×C311yescharacteristic
185C2×C3×C42—32no—
186#953C22×C314yescomplemented
187C2×#217C22×C311yescharacteristic
188#940C22×C314yescomplemented
189#939C22×C318yescomplemented
190#939C22×C318yescomplemented
191#937C22×C314yescomplemented
192#935C22×C314yescomplemented
193D4×Dic3C22×C314yescomplemented
194#930C22×C314yescomplemented
195#929C22×C314yescomplemented
196C2×Dic3⋊C4C22×C312yescomplemented
197C2×C4×Dic3C22×C312yescomplemented
198#896C22×C318yescomplemented
199#893C22×C314yescomplemented
200#888C22×C314yescomplemented
201#886C22×C314yescomplemented
202#885C22×C318yescomplemented
203#884C22×C318yescomplemented
204#882C22×C314yescomplemented
205#67⋊C4C22×C318yescomplemented
206#878C22×C318yescomplemented
207#877C22×C314yescomplemented
208#877C22×C314yescomplemented
209C23×C32—24no—
210C23×C32—42no—
211C23×C32—44no—
212C23×C32C2×D414yes—
213C23×C32C2414yes—
214C23×C32C2412yes—
215C23×C32C2411yescharacteristic
216C22×C3×D3—24no—
217C22×C3×D3—44no—
218C22×C3×D3C2414yes—
219C32×D4—28no—
220C32×D4—28no—
221C32×D4—44no—
222C2×C32×C4—24no—
223C2×C32×C4—42no—
224C2×C32×C4C2414yes—
225C2×C32×C4C2414yes—
226C3×#67—28no—
227C3×#67—28no—
228C3×#67—28no—
229C3×#67—28no—
230C3×#67—48no—
231C2×C3×Dic3—24no—
232C2×C3×Dic3—28no—
233C2×C3×Dic3—28no—
234C2×C3×Dic3—42no—
235C2×C3×Dic3C2×D418yes—
236C2×C3×Dic3C2×D418yes—
237C2×C3×Dic3C2×D414yes—
238C2×C3×Dic3C2×D414yes—
239C2×C3×Dic3C2414yes—
240C2×C3×Dic3C2414yes—
241C2×C3×Dic3C2411yescharacteristic
242C2×C3×Dic3C2411yescharacteristic
243C2×C3×Dic3C2412yes—
244C3×D12—44no—
245C3×C4×D3—28no—
246C3×C4×D3—28no—
247C3×Dic6—28no—
248C3×Dic6—28no—
249C22×#41—32no—
250#537—34no—
251#536—34no—
252#535—34no—
253#534—32no—
254#534—31no—
255#534C3×D311yescharacteristic, complemented
256#532—34no—
257#525—34no—
258#525—34no—
259C2×#117—31no—
260C24×C3—21no—
261C24×C3—22no—
262C24×C3—32no—
263C24×C3C22×D312yes—
264C24×C3C22×D311yescharacteristic
265C24×C3C23×C312yes—
266C24×C3C23×C311yescharacteristic
267C23×D3C23×C312yes—
268C3×#41—616no—
269C3×#41—616no—
270C3×#41—616no—
271C3×#41—616no—
272C2×C3×Q8—34no—
273C2×C3×Q8—34no—
274C2×C3×Q8—68no—
275C2×C3×D4—28no—
276C2×C3×D4—28no—
277C2×C3×D4—24no—
278C2×C3×D4—24no—
279C2×C3×D4—24no—
280C2×C3×D4—34no—
281C2×C3×D4—34no—
282C2×C3×D4—34no—
283C2×C3×D4—34no—
284C2×C3×D4—38no—
285C2×C3×D4—34no—
286C2×C3×D4—48no—
287C2×C3×D4—68no—
288C2×C3×D4—68no—
289C2×C3×D4C22×D314yes—
290C2×C3×D4C22×D314yes—
291C2×C3×D4C22×D314yes—
292C2×C3×D4C23×C314yes—
293C2×C3×D4C23×C314yes—
294C2×C3×D4C23×C314yes—
295C22×C3×C4—22no—
296C22×C3×C4—22no—
297C22×C3×C4—38no—
298C22×C3×C4—31no—
299C22×C3×C4—31no—
300C22×C3×C4—32no—
301C22×C3×C4—32no—
302C22×C3×C4—34no—
303C22×C3×C4—34no—
304C22×C3×C4—32no—
305C22×C3×C4—32no—
306C22×C3×C4—34no—
307C22×C3×C4—34no—
308C22×C3×C4—68no—
309C22×C3×C4—68no—
310C22×C3×C4C22×D312yes—
311C22×C3×C4C22×D312yes—
312C22×C3×C4C23×C312yes—
313C22×C3×C4C23×C312yes—
314C2×#67—28no—
315C2×#67—28no—
316C2×#67C23×C314yes—
317C2×#67C23×C314yes—
318C2×#67C23×C314yes—
319C2×#67C23×C314yes—
320C2×#67C23×C318yes—
321C22×Dic3—28no—
322C22×Dic3C3×D418yescomplemented
323C22×Dic3C23×C314yes—
324C22×Dic3C23×C314yes—
325C22×Dic3C23×C312yes—
326C22×Dic3C23×C312yes—
327C22×Dic3C23×C312yes—
328C22×Dic3C23×C312yes—
329C22×Dic3C23×C311yescharacteristic
330C22×Dic3C23×C311yescharacteristic
331#237—216no—
332#237—216no—
333#237—216no—
334#237—216no—
335C2×D12C23×C314yes—
336C2×C4×D3—28no—
337C2×C4×D3C23×C314yes—
338C2×C4×D3C23×C314yes—
339C2×Dic6—28no—
340C2×Dic6C23×C314yes—
341C2×Dic6C23×C314yes—
342C3×C4⋊C4—24no—
343C3×C4⋊C4—38no—
344C3×C4⋊C4—38no—
345C3×C4⋊C4—34no—
346C3×C4⋊C4C22×D314yes—
347C3×C4⋊C4C23×C314yes—
348C3×C22⋊C4—24no—
349C3×C22⋊C4—28no—
350C3×C22⋊C4—34no—
351C3×C22⋊C4—38no—
352C3×C22⋊C4—38no—
353C3×C22⋊C4—38no—
354C3×C22⋊C4C22×D314yes—
355C3×C22⋊C4C22×D318yes—
356C3×C22⋊C4C23×C314yes—
357C3×C22⋊C4C23×C318yes—
358C3×C42—34no—
359C3×C42—34no—
360#217C23×C314yes—
361#217C23×C318yes—
362(C2×D3)⋊C4C23×C318yes—
363(C2×D3)⋊C4C23×C318yes—
364C4⋊Dic3C23×C314yes—
365Dic3⋊C4C23×C318yes—
366Dic3⋊C4C23×C318yes—
367C4×Dic3C23×C314yes—
368C4×Dic3C23×C314yes—
369C22×C32—22no—
370C22×C32—24no—
371C22×C32—24no—
372C22×C32—28no—
373C22×C32—44no—
374C22×C32—48no—
375C22×C32C22×D414yes—
376C22×C32C22×D412yes—
377C22×C32C2511yescharacteristic
378C2×C3×D3—24no—
379C2×C3×D3—28no—
380C2×C3×D3—48no—
381C32×C4—24no—
382C32×C4—24no—
383C3×Dic3—24no—
384C3×Dic3—24no—
385C3×Dic3C22×D412yes—
386C3×Dic3C22×D414yes—
387C3×Dic3C22×D412yes—
388C2×#41—34no—
389C2×#41—34no—
390C2×#41—34no—
391C2×#41—34no—
392C2×#41—616no—
393C22×Q8—32no—
394C22×D4—32no—
395C22×D4—32no—
396C22×D4C2×C3×D312yes—
397C23×C4—31no—
398C23×C4—32no—
399C23×C4—32no—
400C4⋊Q8—34no—
401#127—34no—
402#124—38no—
403#123—34no—
404#123—34no—
405#123—34no—
406#123C2×C3×D314yescomplemented
407C22⋊Q8—38no—
408C22⋊Q8—38no—
409#121—38no—
410#121—38no—
411#121—34no—
412#121—38no—
413#121C2×C3×D314yescomplemented
414#120—34no—
415#120—34no—
416#120—34no—
417#120C2×C3×D314yescomplemented
418C4×D4—34no—
419C4×D4—34no—
420C4×D4—38no—
421#117—34no—
422#117—34no—
423C2×C4⋊C4—32no—
424C2×C22⋊C4—31no—
425C2×C22⋊C4C2×C3×D311yescharacteristic
426C2×C42—32no—
427C23×C3—24no—
428C23×C3—24no—
429C23×C3—22no—
430C23×C3—21no—
431C23×C3—24no—
432C23×C3—24no—
433C23×C3—34no—
434C23×C3—44no—
435C23×C3—42no—
436C23×C3—44no—
437C23×C3—42no—
438C23×C3—44no—
439C23×C3—64no—
440C23×C3—82no—
441C23×C3—84no—
442C23×C3—124no—
443C23×C3D3×D414yes—
444C23×C3C2×C3×D414yes—
445C23×C3C23×D314yes—
446C23×C3C23×D312yes—
447C23×C3C23×D311yescharacteristic
448C23×C3C24×C314yes—
449C23×C3C24×C312yes—
450C23×C3C24×C311yescharacteristic
451C22×D3—24no—
452C22×D3—44no—
453C22×D3C24×C314yes—
454C3×Q8—68no—
455C3×Q8—68no—
456C3×D4—28no—
457C3×D4—28no—
458C3×D4—28no—
459C3×D4—28no—
460C3×D4—48no—
461C3×D4—48no—
462C3×D4—44no—
463C3×D4—44no—
464C3×D4—68no—
465C3×D4—68no—
466C3×D4—68no—
467C3×D4—68no—
468C3×D4—84no—
469C3×D4—124no—
470C3×D4—128no—
471C2×C3×C4—24no—
472C2×C3×C4—24no—
473C2×C3×C4—24no—
474C2×C3×C4—24no—
475C2×C3×C4—38no—
476C2×C3×C4—38no—
477C2×C3×C4—34no—
478C2×C3×C4—34no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—32no—
482C2×C3×C4—34no—
483C2×C3×C4—34no—
484C2×C3×C4—44no—
485C2×C3×C4—42no—
486C2×C3×C4—42no—
487C2×C3×C4—68no—
488C2×C3×C4—68no—
489C2×C3×C4—68no—
490C2×C3×C4—68no—
491C2×C3×C4—64no—
492C2×C3×C4—82no—
493C2×C3×C4—122no—
494C2×C3×C4C23×D314yes—
495C2×C3×C4C23×D314yes—
496C2×C3×C4C24×C314yes—
497C2×C3×C4C24×C314yes—
498#67—28no—
499#67—28no—
500#67—28no—
501#67—28no—
502#67—48no—
503C2×Dic3—24no—
504C2×Dic3—28no—
505C2×Dic3—28no—
506C2×Dic3—42no—
507C2×Dic3C2×C3×D418yes—
508C2×Dic3C2×C3×D418yes—
509C2×Dic3C2×C3×D414yes—
510C2×Dic3C2×C3×D414yes—
511C2×Dic3C24×C314yes—
512C2×Dic3C24×C314yes—
513C2×Dic3C24×C311yescharacteristic
514C2×Dic3C24×C311yescharacteristic
515C2×Dic3C24×C312yes—
516D12—44no—
517C4×D3—28no—
518C4×D3—28no—
519Dic6—28no—
520Dic6—28no—
521C2×C32—24no—
522C2×C32—22no—
523C2×C32—44no—
524C2×C32C23×D411yescharacteristic
525C2×C32#58512yes—
526C3×D3—44no—
527C24—32no—
528C24C22×C3×D312yes—
529C24C22×C3×D311yescharacteristic
530#41—616no—
531#41—616no—
532#41—616no—
533#41—616no—
534C2×Q8—34no—
535C2×Q8—34no—
536C2×Q8—68no—
537C2×D4—28no—
538C2×D4—34no—
539C2×D4—34no—
540C2×D4—34no—
541C2×D4—34no—
542C2×D4—38no—
543C2×D4—34no—
544C2×D4—68no—
545C2×D4—68no—
546C2×D4C22×C3×D314yes—
547C2×D4C22×C3×D314yes—
548C2×D4C22×C3×D314yes—
549C22×C4—31no—
550C22×C4—31no—
551C22×C4—32no—
552C22×C4—32no—
553C22×C4—38no—
554C22×C4—34no—
555C22×C4—34no—
556C22×C4—32no—
557C22×C4—32no—
558C22×C4—34no—
559C22×C4—34no—
560C22×C4—68no—
561C22×C4—68no—
562C22×C4C22×C3×D312yes—
563C22×C4C22×C3×D312yes—
564C4⋊C4—38no—
565C4⋊C4—38no—
566C4⋊C4—34no—
567C4⋊C4C22×C3×D314yes—
568C22⋊C4—34no—
569C22⋊C4—38no—
570C22⋊C4—38no—
571C22⋊C4—38no—
572C22⋊C4C22×C3×D314yes—
573C22⋊C4C22×C3×D318yes—
574C42—34no—
575C42—34no—
576C22×C3—22no—
577C22×C3—24no—
578C22×C3—22no—
579C22×C3—24no—
580C22×C3—24no—
581C22×C3—28no—
582C22×C3—24no—
583C22×C3—28no—
584C22×C3—24no—
585C22×C3—22no—
586C22×C3—21no—
587C22×C3—42no—
588C22×C3—44no—
589C22×C3—44no—
590C22×C3—48no—
591C22×C3—44no—
592C22×C3—44no—
593C22×C3—48no—
594C22×C3—48no—
595C22×C3—64no—
596C22×C3—68no—
597C22×C3—84no—
598C22×C3—88no—
599C22×C3—128no—
600C22×C3C2×D3×D414yes—
601C22×C3C2×D3×D412yes—
602C22×C3C22×C3×D414yes—
603C22×C3C22×C3×D412yes—
604C22×C3C24×D311yescharacteristic
605C22×C3C25×C311yescharacteristic
606C2×D3—24no—
607C2×D3—28no—
608C2×D3—48no—
609C3×C4—24no—
610C3×C4—24no—
611C3×C4—24no—
612C3×C4—24no—
613C3×C4—32no—
614C3×C4—34no—
615C3×C4—32no—
616C3×C4—44no—
617C3×C4—44no—
618C3×C4—64no—
619C3×C4—64no—
620Dic3—24no—
621Dic3—24no—
622Dic3C22×C3×D412yes—
623Dic3C22×C3×D414yes—
624Dic3C22×C3×D412yes—
625C32#344911yescharacteristic, complemented, Sylow
626C23—24no—
627C23—34no—
628C23—42no—
629C23—44no—
630C23—64no—
631C23—124no—
632C23C3×D3×D414yes—
633C23C23×C3×D314yes—
634C23C23×C3×D312yes—
635C23C23×C3×D311yescharacteristic
636Q8—68no—
637Q8—68no—
638D4—28no—
639D4—28no—
640D4—44no—
641D4—68no—
642D4—68no—
643D4—68no—
644D4—68no—
645D4—124no—
646D4—128no—
647C2×C4—24no—
648C2×C4—38no—
649C2×C4—38no—
650C2×C4—34no—
651C2×C4—34no—
652C2×C4—31no—
653C2×C4—31no—
654C2×C4—32no—
655C2×C4—34no—
656C2×C4—34no—
657C2×C4—42no—
658C2×C4—68no—
659C2×C4—68no—
660C2×C4—68no—
661C2×C4—68no—
662C2×C4—64no—
663C2×C4—122no—
664C2×C4C23×C3×D314yes—
665C2×C4C23×C3×D314yes—
666C2×C3—24no—
667C2×C3—22no—
668C2×C3—24no—
669C2×C3—22no—
670C2×C3—21no—
671C2×C3—22no—
672C2×C3—44no—
673C2×C3—42no—
674C2×C3—44no—
675C2×C3—44no—
676C2×C3—84no—
677C2×C3—124no—
678C2×C3C22×D3×D411yescharacteristic
679C2×C3#596612yes—
680C2×C3C23×C3×D411yescharacteristic
681C2×C3C3×#58512yes—
682D3—44no—
683C22—22no—
684C22—24no—
685C22—24no—
686C22—28no—
687C22—44no—
688C22—48no—
689C22—64no—
690C22—68no—
691C22—128no—
692C22C2×C3×D3×D414yes—
693C22C2×C3×D3×D412yes—
694C22C24×C3×D311yescharacteristic
695C4—24no—
696C4—24no—
697C4—32no—
698C4—34no—
699C4—32no—
700C4—64no—
701C4—64no—
702C3—21no—
703C3#8629411yescharacteristic, direct product factor
704C3C3×#344911yescharacteristic, complemented
705C2—24no—
706C2—22no—
707C2—44no—
708C2—124no—
709C2C22×C3×D3×D411yescharacteristic
710C2C3×#596612yes—
subgroupG/H
centerC22×C3C24×D3
commutator, cosocleC22×C3C25×C3
FrattiniC22C24×C3×D3
FittingC32×#534C2
socleC22×C32C25
hypercenterC3×#534D3
hypocenterC3C3×#3449
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×#534

Complements

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

NH ≅ G/Ntype
1. C22×C3×#237C2semidirect
2. C32×#534C2semidirect
3. C3×#5804C2semidirect
4. C3×#5656C2semidirect
5. C3×#5648C2semidirect
6. C3×#5597C2semidirect
7. C3×#5596C2semidirect
8. C3×#5592C2semidirect
9. C3×#5586C2semidirect
10. C3×#5493C2semidirect
11. C2×C3×#877C2semidirect
13. #86294C3direct (N × H)
16. C22×C3×#67C22semidirect
18. C23×C3×Dic3C22semidirect
22. C2×C3×#237C22semidirect
23. C2×C3×#237C22semidirect
24. C22×C3×C4×D3C22semidirect
25. C22×C3×Dic6C22semidirect
26. C32×#123C22semidirect
27. C32×#121C22semidirect
28. C32×#120C22semidirect
30. C3×#953C22semidirect
32. C3×#940C22semidirect
33. C3×#939C22semidirect
34. C3×#939C22semidirect
35. C3×#937C22semidirect
36. C3×#935C22semidirect
37. C3×D4×Dic3C22semidirect
38. C3×#930C22semidirect
39. C3×#929C22semidirect
40. C2×C3×Dic3⋊C4C22semidirect
41. C2×C3×C4×Dic3C22semidirect
42. C3×#896C22semidirect
43. C3×#893C22semidirect
44. C3×#888C22semidirect
45. C3×#886C22semidirect
46. C3×#885C22semidirect
47. C3×#884C22semidirect
48. C3×#882C22semidirect
49. C3×#67⋊C4C22semidirect
50. C3×#878C22semidirect
51. C3×#877C22semidirect
52. C3×#877C22semidirect
54. C22×#237C2×C3semidirect
61. C3×#534D3semidirect
62. C3×#534C2×C3semidirect
67. #5804C2×C3semidirect
68. #5656C2×C3semidirect
69. #5648C2×C3semidirect
70. #5597C2×C3semidirect
71. #5596C2×C3semidirect
72. #5592C2×C3semidirect
73. #5586C2×C3semidirect
74. #5493C2×C3semidirect
75. C2×#877C2×C3semidirect
93. C22×C3×Dic3D4semidirect
141. C22×#67C22×C3semidirect
143. C23×Dic3C22×C3semidirect
147. C2×#237C22×C3semidirect
148. C2×#237C22×C3semidirect
149. C22×C4×D3C22×C3semidirect
150. C22×Dic6C22×C3semidirect
158. C3×#123C2×D3semidirect
159. C3×#123C22×C3semidirect
167. C3×#121C2×D3semidirect
168. C3×#121C22×C3semidirect
173. C3×#120C2×D3semidirect
174. C3×#120C22×C3semidirect
186. #953C22×C3semidirect
188. #940C22×C3semidirect
189. #939C22×C3semidirect
190. #939C22×C3semidirect
191. #937C22×C3semidirect
192. #935C22×C3semidirect
193. D4×Dic3C22×C3semidirect
194. #930C22×C3semidirect
195. #929C22×C3semidirect
196. C2×Dic3⋊C4C22×C3semidirect
197. C2×C4×Dic3C22×C3semidirect
198. #896C22×C3semidirect
199. #893C22×C3semidirect
200. #888C22×C3semidirect
201. #886C22×C3semidirect
202. #885C22×C3semidirect
203. #884C22×C3semidirect
204. #882C22×C3semidirect
205. #67⋊C4C22×C3semidirect
206. #878C22×C3semidirect
207. #877C22×C3semidirect
208. #877C22×C3semidirect
255. #534C3×D3semidirect
322. C22×Dic3C3×D4semidirect
406. #123C2×C3×D3semidirect
413. #121C2×C3×D3semidirect
417. #120C2×C3×D3semidirect
625. C32#3449semidirect
703. C3#86294direct (N × H)
704. C3C3×#3449semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#2372
C32×#5342
C3×#58042
C3×#56562
C3×#56482
C3×#55972
C3×#55962
C3×#55922
C3×#55862
C3×#54932
C2×C3×#8772
C3×#34493
#862943