Finite Group Databasebeta

← C3×#76434 #11807579

Subgroups — C3×#76434 #11807579

Order 1152.

1505 conjugacy classes of subgroups.

The subgroup lattice has 665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#937C211yesmaximal, characteristic
2C32×#390C211yesmaximal, characteristic, complemented
3C3×#5220C211yesmaximal, characteristic, complemented
4C3×#4990C212yesmaximal, complemented
5C3×#4958C212yesmaximal, complemented
6C3×#4957C212yesmaximal, complemented
7C3×#4955C212yesmaximal, complemented
8C3×#4944C212yesmaximal, complemented
9C3×#4940C212yesmaximal, complemented
10C3×#2375—31nomaximal
11#76434C311yesmaximal, characteristic, direct product factor
12C24×C3×D3C2211yescharacteristic
13C22×C32×D4C2211yescharacteristic
14C22×C3×#67C2212yes—
15C23×C3×Dic3C2211yescharacteristic, complemented
16C2×C32×C4⋊C4C2211yescharacteristic, complemented
17C2×C32×C22⋊C4C2212yes—
18C2×C32×C22⋊C4C2212yescomplemented
19C2×C32×C42C2211yescharacteristic, complemented
20C2×C3×#217C2212yes—
21C2×C3×#217C2211yescharacteristic
22C2×C3×#217C2211yescharacteristic, complemented
23C3×#937C418yescomplemented
24C2×C3×(C2×D3)⋊C4C2212yes—
25C2×C3×(C2×D3)⋊C4C2212yes—
26C2×C3×(C2×D3)⋊C4C2212yes—
27C2×C3×(C2×D3)⋊C4C2212yes—
28C2×C3×(C2×D3)⋊C4C2212yes—
29C2×C3×Dic3⋊C4C2212yescomplemented
30C2×C3×C4×Dic3C2212yescomplemented
31C3×C3⋊#95C2212yescomplemented
32C3×C3⋊#95C2212yescomplemented
33C3×C3⋊#95C2212yescomplemented
34C2×C3×#120—31no—
35C2×#937C2×C311yescharacteristic
36C3×#390—21no—
37C3×#390—32no—
38C3×#390D311yescharacteristic, complemented
39C3×#390C2×C311yescharacteristic, complemented
40C3×#388—32no—
41C3×#388—32no—
42C3×#388—32no—
43C3×#386—31no—
44C3×#386—32no—
45C3×#379—32no—
46#5220C2×C311yescharacteristic, complemented
47#4990C2×C312yescomplemented
48#4958C2×C312yescomplemented
49#4957C2×C312yescomplemented
50#4955C2×C312yescomplemented
51#4944C2×C312yescomplemented
52#4940C2×C312yescomplemented
53C24×C32C2311yescharacteristic
54C24×C32C2311yescharacteristic
55C23×C3×D3—41no—
56C23×C3×D3—41no—
57C23×C3×D3—42no—
58C23×C3×D3—42no—
59C23×C3×D3C2×C414yescomplemented
60C23×C3×D3C2312yes—
61C2×C32×D4—41no—
62C2×C32×D4—41no—
63C2×C32×D4C2×C414yes—
64C22×C32×C4C2312yes—
65C22×C32×C4C2312yes—
66C22×C32×C4C2311yescharacteristic
67C2×C3×#67—42no—
68C2×C3×#67—42no—
69C2×C3×#67C2×C418yes—
70C22×C3×Dic3—41no—
71C22×C3×Dic3—42no—
72C22×C3×Dic3C2312yes—
73C22×C3×Dic3C2312yes—
74C22×C3×Dic3C2312yes—
75C32×C4⋊C4—41no—
76C32×C22⋊C4—42no—
77C32×C22⋊C4—42no—
78C32×C42—41no—
79C3×#217—42no—
80C3×#217—41no—
81C3×#217C2×C414yescomplemented
82C3×(C2×D3)⋊C4—42no—
83C3×(C2×D3)⋊C4—42no—
84C3×(C2×D3)⋊C4—42no—
85C3×(C2×D3)⋊C4—42no—
86C3×(C2×D3)⋊C4C2×C418yescomplemented
87C3×Dic3⋊C4—42no—
88C3×C4×Dic3—42no—
89#2375—31noSylow
90C25×C3—31no—
91C24×D3C22×C311yescharacteristic
92C22×C3×D4—21no—
93C22×C3×D4—32no—
94C22×C3×D4C2×D311yescharacteristic
95C22×C3×D4C22×C311yescharacteristic
96C23×C3×C4—31no—
97C22×#67C22×C312yes—
98C23×Dic3C22×C311yescharacteristic, complemented
99C3×#120—38no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—32no—
102C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
103C2×C3×C4⋊C4C22×C311yescharacteristic, complemented
104C2×C3×C22⋊C4—22no—
105C2×C3×C22⋊C4—22no—
106C2×C3×C22⋊C4—31no—
107C2×C3×C22⋊C4—32no—
108C2×C3×C22⋊C4—32no—
109C2×C3×C22⋊C4—31no—
110C2×C3×C22⋊C4—32no—
111C2×C3×C22⋊C4—32no—
112C2×C3×C22⋊C4—32no—
113C2×C3×C22⋊C4—32no—
114C2×C3×C22⋊C4C2×D312yes—
115C2×C3×C22⋊C4C2×D312yescomplemented
116C2×C3×C22⋊C4C22×C312yes—
117C2×C3×C22⋊C4C22×C312yescomplemented
118C2×C3×C42—21no—
119C2×C3×C42—32no—
120C2×C3×C42C2×D311yescharacteristic, complemented
121C2×C3×C42C22×C311yescharacteristic, complemented
122C2×#217C22×C312yes—
123C2×#217C22×C311yescharacteristic
124C2×#217C22×C311yescharacteristic, complemented
125#937C3×C418yescomplemented
126C2×(C2×D3)⋊C4C22×C312yes—
127C2×(C2×D3)⋊C4C22×C312yes—
128C2×(C2×D3)⋊C4C22×C312yes—
129C2×(C2×D3)⋊C4C22×C312yes—
130C2×(C2×D3)⋊C4C22×C312yes—
131C2×Dic3⋊C4C22×C312yescomplemented
132C2×C4×Dic3C22×C312yescomplemented
133C3×#95—32no—
134C3×#95—32no—
135C3×#95—32no—
136C3⋊#95C22×C312yescomplemented
137C3⋊#95C22×C312yescomplemented
138C3⋊#95C22×C312yescomplemented
139C23×C32—22no—
140C23×C32—22no—
141C23×C32—21no—
142C23×C32—21no—
143C23×C32—21no—
144C23×C32—22no—
145C23×C32—22no—
146C23×C32—21no—
147C23×C32C22×C412yes—
148C23×C32C22×C412yes—
149C23×C32C2411yescharacteristic
150C22×C3×D3—22no—
151C22×C3×D3—22no—
152C22×C3×D3—22no—
153C22×C3×D3—22no—
154C22×C3×D3—22no—
155C22×C3×D3—22no—
156C22×C3×D3—48no—
157C22×C3×D3—44no—
158C22×C3×D3—44no—
159C22×C3×D3—48no—
160C22×C3×D3—44no—
161C22×C3×D3C22×C414yes—
162C32×D4—44no—
163C2×C32×C4—21no—
164C2×C32×C4—21no—
165C2×C32×C4—22no—
166C2×C32×C4—22no—
167C2×C32×C4—22no—
168C2×C32×C4—22no—
169C2×C32×C4—22no—
170C2×C32×C4—22no—
171C2×C32×C4C22×C412yes—
172C3×#67—48no—
173C2×C3×Dic3—22no—
174C2×C3×Dic3—22no—
175C2×C3×Dic3—22no—
176C2×C3×Dic3—22no—
177C2×C3×Dic3—22no—
178C2×C3×Dic3—22no—
179C2×C3×Dic3—22no—
180C2×C3×Dic3—22no—
181C2×C3×Dic3—44no—
182C2×C3×Dic3C22×C414yes—
183C2×#120—31no—
184#390—32no—
185#390C3×D311yescharacteristic, complemented
186#388—32no—
187#388—32no—
188#388—32no—
189#386—31no—
190#386—32no—
191#379—32no—
192C24×C3—21no—
193C24×C3—21no—
194C24×C3—32no—
195C24×C3—34no—
196C24×C3—122no—
197C24×C3—121no—
198C24×C3—121no—
199C24×C3—122no—
200C24×C3C22×D311yescharacteristic
201C24×C3C22×D311yescharacteristic
202C24×C3C23×C311yescharacteristic
203C24×C3C23×C311yescharacteristic
204C23×D3—41no—
205C23×D3—41no—
206C23×D3—42no—
207C23×D3—42no—
208C23×D3C2×C3×C414yescomplemented
209C23×D3C23×C312yes—
210C2×C3×D4—24no—
211C2×C3×D4—38no—
212C2×C3×D4—41no—
213C2×C3×D4—41no—
214C2×C3×D4—41no—
215C2×C3×D4—41no—
216C2×C3×D4—42no—
217C2×C3×D4—42no—
218C2×C3×D4—122no—
219C2×C3×D4—122no—
220C2×C3×D4C4×D314yes—
221C2×C3×D4C2×C3×C414yes—
222C22×C3×C4—21no—
223C22×C3×C4—22no—
224C22×C3×C4—22no—
225C22×C3×C4—32no—
226C22×C3×C4—32no—
227C22×C3×C4—32no—
228C22×C3×C4—121no—
229C22×C3×C4—122no—
230C22×C3×C4C22×D312yes—
231C22×C3×C4C22×D312yes—
232C22×C3×C4C22×D311yescharacteristic
233C22×C3×C4C23×C312yes—
234C22×C3×C4C23×C312yes—
235C22×C3×C4C23×C311yescharacteristic
236C2×#67—42no—
237C2×#67—42no—
238C2×#67C2×C3×C418yes—
239C22×Dic3—41no—
240C22×Dic3—42no—
241C22×Dic3C23×C312yes—
242C22×Dic3C23×C312yes—
243C22×Dic3C23×C312yes—
244C3×C4⋊C4—41no—
245C3×C4⋊C4—41no—
246C3×C4⋊C4—42no—
247C3×C4⋊C4—122no—
248C3×C22⋊C4—34no—
249C3×C22⋊C4—38no—
250C3×C22⋊C4—42no—
251C3×C22⋊C4—42no—
252C3×C22⋊C4—42no—
253C3×C22⋊C4—42no—
254C3×C22⋊C4—44no—
255C3×C22⋊C4—44no—
256C3×C22⋊C4—122no—
257C3×C22⋊C4—122no—
258C3×C22⋊C4—122no—
259C3×C22⋊C4—122no—
260C3×C22⋊C4—121no—
261C3×C22⋊C4—122no—
262C3×C42—41no—
263C3×C42—41no—
264C3×C42—42no—
265C3×C42—122no—
266#217—42no—
267#217—41no—
268#217C2×C3×C414yescomplemented
269(C2×D3)⋊C4—42no—
270(C2×D3)⋊C4—42no—
271(C2×D3)⋊C4—42no—
272(C2×D3)⋊C4—42no—
273(C2×D3)⋊C4C2×C3×C418yescomplemented
274Dic3⋊C4—42no—
275C4×Dic3—42no—
276C22×C32—24no—
277C22×C32—22no—
278C22×C32—22no—
279C22×C32—24no—
280C22×C32—41no—
281C22×C32—42no—
282C22×C32—41no—
283C22×C32—42no—
284C22×C32—41no—
285C22×C32—41no—
286C22×C32C23×C411yescharacteristic
287C22×C32H(5,𝔽2)12yes—
288C22×C32H(5,𝔽2)11yescharacteristic
289C22×C32H(5,𝔽2)11yescharacteristic
290C22×C32H(5,𝔽2)12yes—
291C2×C3×D3—24no—
292C2×C3×D3—24no—
293C2×C3×D3—24no—
294C2×C3×D3—416no—
295C2×C3×D3—42no—
296C2×C3×D3—42no—
297C2×C3×D3—42no—
298C2×C3×D3—42no—
299C32×C4—22no—
300C32×C4—42no—
301C32×C4—42no—
302C3×Dic3—24no—
303C3×Dic3—42no—
304C3×Dic3—42no—
305C25—31no—
306C22×D4—32no—
307C22×D4C2×C3×D311yescharacteristic
308C23×C4—31no—
309#120—38no—
310C2×C4⋊C4—32no—
311C2×C4⋊C4C2×C3×D311yescharacteristic, complemented
312C2×C22⋊C4—31no—
313C2×C22⋊C4—32no—
314C2×C22⋊C4—32no—
315C2×C22⋊C4—31no—
316C2×C22⋊C4—32no—
317C2×C22⋊C4—32no—
318C2×C22⋊C4—32no—
319C2×C22⋊C4—32no—
320C2×C22⋊C4C2×C3×D312yes—
321C2×C22⋊C4C2×C3×D312yescomplemented
322C2×C42—32no—
323C2×C42C2×C3×D311yescharacteristic, complemented
324#95—32no—
325#95—32no—
326#95—32no—
327C23×C3—22no—
328C23×C3—22no—
329C23×C3—21no—
330C23×C3—21no—
331C23×C3—21no—
332C23×C3—21no—
333C23×C3—22no—
334C23×C3—22no—
335C23×C3—21no—
336C23×C3—22no—
337C23×C3—22no—
338C23×C3—22no—
339C23×C3—22no—
340C23×C3—21no—
341C23×C3—21no—
342C23×C3—21no—
343C23×C3—21no—
344C23×C3—22no—
345C23×C3—22no—
346C23×C3—34no—
347C23×C3—42no—
348C23×C3—42no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3—41no—
352C23×C3—41no—
353C23×C3—42no—
354C23×C3—42no—
355C23×C3—62no—
356C23×C3—62no—
357C23×C3—62no—
358C23×C3—62no—
359C23×C3—62no—
360C23×C3—62no—
361C23×C3—124no—
362C23×C3—128no—
363C23×C3—124no—
364C23×C3—124no—
365C23×C3—128no—
366C23×C3C2×C4×D312yes—
367C23×C3C2×C4×D312yes—
368C23×C3C22×C3×C412yes—
369C23×C3C22×C3×C412yes—
370C23×C3C23×D311yescharacteristic
371C23×C3C24×C311yescharacteristic
372C22×D3—22no—
373C22×D3—22no—
374C22×D3—22no—
375C22×D3—22no—
376C22×D3—22no—
377C22×D3—22no—
378C22×D3—48no—
379C22×D3—44no—
380C22×D3—48no—
381C22×D3—44no—
382C22×D3—44no—
383C22×D3C22×C3×C414yes—
384C3×D4—44no—
385C3×D4—44no—
386C3×D4—48no—
387C3×D4—128no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
394C2×C3×C4—24no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—34no—
409C2×C3×C4—42no—
410C2×C3×C4—42no—
411C2×C3×C4—42no—
412C2×C3×C4—42no—
413C2×C3×C4—42no—
414C2×C3×C4—62no—
415C2×C3×C4—62no—
416C2×C3×C4—62no—
417C2×C3×C4—62no—
418C2×C3×C4—62no—
419C2×C3×C4—62no—
420C2×C3×C4—62no—
421C2×C3×C4—62no—
422C2×C3×C4—124no—
423C2×C3×C4C2×C4×D312yes—
424C2×C3×C4C22×C3×C412yes—
425#67—48no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—22no—
429C2×Dic3—22no—
430C2×Dic3—22no—
431C2×Dic3—22no—
432C2×Dic3—22no—
433C2×Dic3—22no—
434C2×Dic3—44no—
435C2×Dic3C22×C3×C414yes—
436C2×C32—42no—
437C2×C32—42no—
438C2×C32#51811yescharacteristic
439C2×C32#51812yes—
440C2×C32#56011yescharacteristic
441C2×C32#56012yes—
442C2×C32H(3,𝔽4)11yescharacteristic
443C3×D3—44no—
444C24—32no—
445C24—34no—
446C24—122no—
447C24—121no—
448C24—121no—
449C24—122no—
450C24C22×C3×D311yescharacteristic
451C24C22×C3×D311yescharacteristic
452C2×D4—38no—
453C2×D4—41no—
454C2×D4—41no—
455C2×D4—122no—
456C2×D4—122no—
457C2×D4C3×C4×D314yes—
458C22×C4—32no—
459C22×C4—32no—
460C22×C4—32no—
461C22×C4—121no—
462C22×C4—122no—
463C22×C4C22×C3×D312yes—
464C22×C4C22×C3×D312yes—
465C22×C4C22×C3×D311yescharacteristic
466C4⋊C4—41no—
467C4⋊C4—122no—
468C22⋊C4—34no—
469C22⋊C4—38no—
470C22⋊C4—42no—
471C22⋊C4—42no—
472C22⋊C4—122no—
473C22⋊C4—122no—
474C22⋊C4—122no—
475C22⋊C4—122no—
476C22⋊C4—121no—
477C22⋊C4—122no—
478C42—41no—
479C42—122no—
480C22×C3—22no—
481C22×C3—22no—
482C22×C3—24no—
483C22×C3—24no—
484C22×C3—24no—
485C22×C3—22no—
486C22×C3—22no—
487C22×C3—24no—
488C22×C3—21no—
489C22×C3—22no—
490C22×C3—21no—
491C22×C3—21no—
492C22×C3—22no—
493C22×C3—42no—
494C22×C3—42no—
495C22×C3—44no—
496C22×C3—44no—
497C22×C3—42no—
498C22×C3—41no—
499C22×C3—42no—
500C22×C3—41no—
501C22×C3—41no—
502C22×C3—41no—
503C22×C3—41no—
504C22×C3—41no—
505C22×C3—41no—
506C22×C3—41no—
507C22×C3—42no—
508C22×C3—42no—
509C22×C3—64no—
510C22×C3—64no—
511C22×C3—64no—
512C22×C3—82no—
513C22×C3—82no—
514C22×C3—81no—
515C22×C3—81no—
516C22×C3—81no—
517C22×C3—81no—
518C22×C3—1216no—
519C22×C3—122no—
520C22×C3—122no—
521C22×C3—122no—
522C22×C3—122no—
523C22×C3C22×C4×D311yescharacteristic
524C22×C3#100411yescharacteristic
525C22×C3#100412yes—
526C22×C3#100411yescharacteristic
527C22×C3#100912yes—
528C22×C3C23×C3×C411yescharacteristic
529C22×C3C3×H(5,𝔽2)12yes—
530C22×C3C3×H(5,𝔽2)11yescharacteristic
531C22×C3C3×H(5,𝔽2)11yescharacteristic
532C22×C3C3×H(5,𝔽2)12yes—
533C2×D3—24no—
534C2×D3—24no—
535C2×D3—24no—
536C2×D3—416no—
537C2×D3—42no—
538C2×D3—42no—
539C2×D3—42no—
540C2×D3—42no—
541C3×C4—24no—
542C3×C4—22no—
543C3×C4—22no—
544C3×C4—44no—
545C3×C4—42no—
546C3×C4—42no—
547C3×C4—42no—
548C3×C4—42no—
549C3×C4—64no—
550C3×C4—82no—
551C3×C4—122no—
552C3×C4—122no—
553Dic3—24no—
554Dic3—42no—
555Dic3—42no—
556C32#237511yescharacteristic, complemented, Sylow
557C23—22no—
558C23—22no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—22no—
564C23—22no—
565C23—34no—
566C23—62no—
567C23—62no—
568C23—62no—
569C23—62no—
570C23—62no—
571C23—62no—
572C23—128no—
573C23—124no—
574C23—128no—
575C23—124no—
576C23—124no—
577C23C2×C3×C4×D312yes—
578C23C2×C3×C4×D312yes—
579C23C23×C3×D311yescharacteristic
580D4—44no—
581D4—128no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—34no—
591C2×C4—62no—
592C2×C4—62no—
593C2×C4—62no—
594C2×C4—62no—
595C2×C4—62no—
596C2×C4—62no—
597C2×C4—62no—
598C2×C4—62no—
599C2×C4—124no—
600C2×C4C2×C3×C4×D312yes—
601C2×C3—22no—
602C2×C3—22no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—42no—
607C2×C3—42no—
608C2×C3—42no—
609C2×C3—42no—
610C2×C3—82no—
611C2×C3—82no—
612C2×C3—124no—
613C2×C3#548611yescharacteristic
614C2×C3#554512yes—
615C2×C3#562012yes—
616C2×C3#568311yescharacteristic
617C2×C3#572011yescharacteristic
618C2×C3C3×#51812yes—
619C2×C3C3×#51811yescharacteristic
620C2×C3C3×#56012yes—
621C2×C3C3×#56011yescharacteristic
622C2×C3C3×H(3,𝔽4)11yescharacteristic
623D3—44no—
624C22—24no—
625C22—24no—
626C22—22no—
627C22—22no—
628C22—42no—
629C22—42no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—64no—
635C22—64no—
636C22—64no—
637C22—1216no—
638C22—122no—
639C22—122no—
640C22—122no—
641C22—122no—
642C22C22×C3×C4×D311yescharacteristic
643C22C3×#100412yes—
644C22C3×#100411yescharacteristic
645C22C3×#100411yescharacteristic
646C22C3×#100912yes—
647C4—22no—
648C4—42no—
649C4—42no—
650C4—64no—
651C4—122no—
652C4—122no—
653C3—21no—
654C3#7643411yescharacteristic, direct product factor
655C3C3×#237511yescharacteristic, complemented
656C2—42no—
657C2—42no—
658C2—124no—
659C2C3×#548611yescharacteristic
660C2C3×#554512yes—
661C2C3×#562012yes—
662C2C3×#568311yescharacteristic
663C2C3×#572011yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC32×#390C2
socleC23×C32C24
prime radicalC2×C3×#937C2
cosocleC23×C3C24×C3
hypercenterC3×#390D3
hypocenterC3C3×#2375
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#390

Complements

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

NH ≅ G/Ntype
2. C32×#390C2semidirect
3. C3×#5220C2semidirect
4. C3×#4990C2semidirect
5. C3×#4958C2semidirect
6. C3×#4957C2semidirect
7. C3×#4955C2semidirect
8. C3×#4944C2semidirect
9. C3×#4940C2semidirect
11. #76434C3direct (N × H)
15. C23×C3×Dic3C22semidirect
16. C2×C32×C4⋊C4C22semidirect
18. C2×C32×C22⋊C4C22semidirect
19. C2×C32×C42C22semidirect
22. C2×C3×#217C22semidirect
23. C3×#937C4semidirect
29. C2×C3×Dic3⋊C4C22semidirect
30. C2×C3×C4×Dic3C22semidirect
31. C3×C3⋊#95C22semidirect
32. C3×C3⋊#95C22semidirect
33. C3×C3⋊#95C22semidirect
38. C3×#390D3semidirect
39. C3×#390C2×C3semidirect
46. #5220C2×C3semidirect
47. #4990C2×C3semidirect
48. #4958C2×C3semidirect
49. #4957C2×C3semidirect
50. #4955C2×C3semidirect
51. #4944C2×C3semidirect
52. #4940C2×C3semidirect
59. C23×C3×D3C2×C4semidirect
81. C3×#217C2×C4semidirect
86. C3×(C2×D3)⋊C4C2×C4semidirect
98. C23×Dic3C22×C3semidirect
102. C2×C3×C4⋊C4C2×D3semidirect
103. C2×C3×C4⋊C4C22×C3semidirect
115. C2×C3×C22⋊C4C2×D3semidirect
117. C2×C3×C22⋊C4C22×C3semidirect
120. C2×C3×C42C2×D3semidirect
121. C2×C3×C42C22×C3semidirect
124. C2×#217C22×C3semidirect
125. #937C3×C4semidirect
131. C2×Dic3⋊C4C22×C3semidirect
132. C2×C4×Dic3C22×C3semidirect
136. C3⋊#95C22×C3semidirect
137. C3⋊#95C22×C3semidirect
138. C3⋊#95C22×C3semidirect
185. #390C3×D3semidirect
208. C23×D3C2×C3×C4semidirect
268. #217C2×C3×C4semidirect
273. (C2×D3)⋊C4C2×C3×C4semidirect
311. C2×C4⋊C4C2×C3×D3semidirect
321. C2×C22⋊C4C2×C3×D3semidirect
323. C2×C42C2×C3×D3semidirect
556. C32#2375semidirect
654. C3#76434direct (N × H)
655. C3C3×#2375semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9372
C32×#3902
C3×#52202
C3×#49902
C3×#49582
C3×#49572
C3×#49552
C3×#49442
C3×#49402
C3×#23753
#764343