Finite Group Databasebeta

← C2×C3×#4675 #11808297

Subgroups — C2×C3×#4675 #11808297

Order 1152.

1805 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×(C2×D3)⋊C4C211yesmaximal, characteristic
2C22×C3×(C2×D3)⋊C4C211yesmaximal, characteristic
3C22×C3×(C2×D3)⋊C4C211yesmaximal, characteristic
4C22×C3×Dic3⋊C4C211yesmaximal, characteristic, complemented
5C2×C32×#95C211yesmaximal, characteristic, complemented
6C2×C3×C3⋊#95C211yesmaximal, characteristic, complemented
7C2×C3×C3⋊#95C211yesmaximal, characteristic, complemented
8C3×#4675C218yesmaximal, direct product factor
9C2×C3×#397—31nomaximal
10C2×#4675C311yesmaximal, characteristic, direct product factor
11C24×C3×D3C2211yescharacteristic
12C23×C32×C4C2211yescharacteristic
13C23×C32×C4C2211yescharacteristic
14C23×C32×C4C2211yescharacteristic
15C23×C3×Dic3C2211yescharacteristic
16C23×C3×Dic3C2211yescharacteristic
17C23×C3×Dic3C2211yescharacteristic
18C2×C3×(C2×D3)⋊C4—24no—
19C2×C3×(C2×D3)⋊C4—24no—
20C2×C3×(C2×D3)⋊C4—24no—
21C2×C3×(C2×D3)⋊C4C2214yes—
22C2×C3×(C2×D3)⋊C4C2214yes—
23C2×C3×(C2×D3)⋊C4C2214yes—
24C2×C3×Dic3⋊C4—24no—
25C2×C3×Dic3⋊C4C2214yescomplemented
26C32×#95C2214yescomplemented
27C3×C3⋊#95C2214yescomplemented
28C3×C3⋊#95C2214yescomplemented
29C22×C3×C4⋊C4—31no—
30C22×C3×C22⋊C4—31no—
31C22×C3×C22⋊C4—31no—
32C22×C3×C22⋊C4—31no—
33C22×(C2×D3)⋊C4C2×C311yescharacteristic
34C22×(C2×D3)⋊C4C2×C311yescharacteristic
35C22×(C2×D3)⋊C4C2×C311yescharacteristic
36C22×Dic3⋊C4C2×C311yescharacteristic, complemented
37C3×#397—38no—
38C2×C3×#95—21no—
39C2×C3×#95—31no—
40C2×C3×#95—31no—
41C2×C3×#95D311yescharacteristic, complemented
42C2×C3×#95C2×C311yescharacteristic, complemented
43C2×C3⋊#95C2×C311yescharacteristic, complemented
44C2×C3⋊#95C2×C311yescharacteristic, complemented
45#4675C2×C318yesdirect product factor
46C24×C32C2311yescharacteristic
47C23×C3×D3—22no—
48C23×C3×D3—22no—
49C23×C3×D3—22no—
50C23×C3×D3—22no—
51C23×C3×D3—22no—
52C23×C3×D3—22no—
53C23×C3×D3D414yes—
54C23×C3×D3C2312yes—
55C22×C32×C4—22no—
56C22×C32×C4—22no—
57C22×C32×C4—22no—
58C22×C32×C4—22no—
59C22×C32×C4—22no—
60C22×C32×C4—22no—
61C22×C32×C4—22no—
62C22×C32×C4—22no—
63C22×C32×C4—22no—
64C22×C32×C4C2312yes—
65C22×C32×C4C2312yes—
66C22×C32×C4C2312yes—
67C22×C3×Dic3—22no—
68C22×C3×Dic3—22no—
69C22×C3×Dic3—22no—
70C22×C3×Dic3—22no—
71C22×C3×Dic3—22no—
72C22×C3×Dic3—22no—
73C22×C3×Dic3—22no—
74C22×C3×Dic3—22no—
75C22×C3×Dic3D414yes—
76C22×C3×Dic3C2312yes—
77C22×C3×Dic3C2312yes—
78C22×C3×Dic3C2312yes—
79C3×(C2×D3)⋊C4—28no—
80C3×(C2×D3)⋊C4—28no—
81C3×(C2×D3)⋊C4—28no—
82C3×Dic3⋊C4—28no—
83C2×#397—31noSylow
84C25×C3—31no—
85C24×D3C22×C311yescharacteristic
86C23×C3×C4—21no—
87C23×C3×C4—21no—
88C23×C3×C4—21no—
89C23×C3×C4—31no—
90C23×C3×C4—31no—
91C23×C3×C4—31no—
92C23×C3×C4C2×D311yescharacteristic
93C23×C3×C4C2×D311yescharacteristic
94C23×C3×C4C2×D311yescharacteristic
95C23×C3×C4C22×C311yescharacteristic
96C23×C3×C4C22×C311yescharacteristic
97C23×C3×C4C22×C311yescharacteristic
98C23×Dic3C22×C311yescharacteristic
99C23×Dic3C22×C311yescharacteristic
100C23×Dic3C22×C311yescharacteristic
101C2×C3×C4⋊C4—34no—
102C2×C3×C4⋊C4—64no—
103C2×C3×C22⋊C4—34no—
104C2×C3×C22⋊C4—34no—
105C2×C3×C22⋊C4—34no—
106C2×C3×C22⋊C4—64no—
107C2×C3×C22⋊C4—64no—
108C2×C3×C22⋊C4—64no—
109C2×(C2×D3)⋊C4—24no—
110C2×(C2×D3)⋊C4—24no—
111C2×(C2×D3)⋊C4—24no—
112C2×(C2×D3)⋊C4C22×C314yes—
113C2×(C2×D3)⋊C4C22×C314yes—
114C2×(C2×D3)⋊C4C22×C314yes—
115C2×Dic3⋊C4—24no—
116C2×Dic3⋊C4C22×C314yescomplemented
117C3×#95—24no—
118C3×#95—34no—
119C3×#95—34no—
120C3×#95C2×D314yescomplemented
121C3×#95C22×C314yescomplemented
122C3⋊#95C22×C314yescomplemented
123C3⋊#95C22×C314yescomplemented
124C23×C32C2×D412yes—
125C23×C32C2×D412yes—
126C23×C32#4112yes—
127C23×C32#4112yes—
128C23×C32#4112yes—
129C23×C32#4112yes—
130C23×C32#4112yes—
131C23×C32C2411yescharacteristic
132C22×C3×D3—28no—
133C22×C3×D3—28no—
134C22×C3×D3—28no—
135C22×C3×D3—22no—
136C22×C3×D3—22no—
137C22×C3×D3—22no—
138C22×C3×D3—22no—
139C22×C3×D3—22no—
140C22×C3×D3—22no—
141C22×C3×D3—44no—
142C22×C3×D3—44no—
143C22×C3×D3—44no—
144C22×C3×D3—44no—
145C22×C3×D3C2×D414yes—
146C2×C32×C4—22no—
147C2×C32×C4—22no—
148C2×C32×C4—22no—
149C2×C32×C4—22no—
150C2×C32×C4—22no—
151C2×C32×C4—22no—
152C2×C32×C4—22no—
153C2×C32×C4—22no—
154C2×C32×C4—22no—
155C2×C32×C4—44no—
156C2×C32×C4—44no—
157C2×C32×C4—44no—
158C2×C3×Dic3—28no—
159C2×C3×Dic3—22no—
160C2×C3×Dic3—22no—
161C2×C3×Dic3—22no—
162C2×C3×Dic3—22no—
163C2×C3×Dic3—22no—
164C2×C3×Dic3—22no—
165C2×C3×Dic3—22no—
166C2×C3×Dic3—22no—
167C2×C3×Dic3—44no—
168C2×C3×Dic3—44no—
169C2×C3×Dic3C2×D414yes—
170C22×C4⋊C4—31no—
171C22×C22⋊C4—31no—
172C22×C22⋊C4—31no—
173C22×C22⋊C4—31no—
174#397—38no—
175C2×#95—31no—
176C2×#95—31no—
177C2×#95C3×D311yescharacteristic, complemented
178C24×C3—21no—
179C24×C3—34no—
180C24×C3—32no—
181C24×C3—62no—
182C24×C3—62no—
183C24×C3—62no—
184C24×C3—62no—
185C24×C3—62no—
186C24×C3—62no—
187C24×C3C22×D311yescharacteristic
188C24×C3C23×C311yescharacteristic
189C23×D3—22no—
190C23×D3—22no—
191C23×D3—22no—
192C23×D3—22no—
193C23×D3—22no—
194C23×D3—22no—
195C23×D3C3×D414yes—
196C23×D3C23×C312yes—
197C22×C3×C4—24no—
198C22×C3×C4—24no—
199C22×C3×C4—24no—
200C22×C3×C4—22no—
201C22×C3×C4—22no—
202C22×C3×C4—22no—
203C22×C3×C4—22no—
204C22×C3×C4—22no—
205C22×C3×C4—22no—
206C22×C3×C4—22no—
207C22×C3×C4—22no—
208C22×C3×C4—22no—
209C22×C3×C4—22no—
210C22×C3×C4—22no—
211C22×C3×C4—22no—
212C22×C3×C4—22no—
213C22×C3×C4—22no—
214C22×C3×C4—22no—
215C22×C3×C4—22no—
216C22×C3×C4—22no—
217C22×C3×C4—22no—
218C22×C3×C4—22no—
219C22×C3×C4—22no—
220C22×C3×C4—22no—
221C22×C3×C4—34no—
222C22×C3×C4—32no—
223C22×C3×C4—32no—
224C22×C3×C4—32no—
225C22×C3×C4—42no—
226C22×C3×C4—42no—
227C22×C3×C4—42no—
228C22×C3×C4—42no—
229C22×C3×C4—42no—
230C22×C3×C4—42no—
231C22×C3×C4—62no—
232C22×C3×C4—62no—
233C22×C3×C4—62no—
234C22×C3×C4—62no—
235C22×C3×C4—62no—
236C22×C3×C4—62no—
237C22×C3×C4—62no—
238C22×C3×C4—62no—
239C22×C3×C4C22×D312yes—
240C22×C3×C4C22×D312yes—
241C22×C3×C4C22×D312yes—
242C22×C3×C4C23×C312yes—
243C22×C3×C4C23×C312yes—
244C22×C3×C4C23×C312yes—
245C22×Dic3—22no—
246C22×Dic3—22no—
247C22×Dic3—22no—
248C22×Dic3—22no—
249C22×Dic3—22no—
250C22×Dic3—22no—
251C22×Dic3—22no—
252C22×Dic3—22no—
253C22×Dic3C3×D414yes—
254C22×Dic3C23×C312yes—
255C22×Dic3C23×C312yes—
256C22×Dic3C23×C312yes—
257C3×C4⋊C4—68no—
258C3×C22⋊C4—68no—
259C3×C22⋊C4—68no—
260C3×C22⋊C4—68no—
261(C2×D3)⋊C4—28no—
262(C2×D3)⋊C4—28no—
263(C2×D3)⋊C4—28no—
264Dic3⋊C4—28no—
265C22×C32#12114yes—
266C22×C32#12314yes—
267C22×C32#12314yes—
268C22×C32#12314yes—
269C22×C32#12414yes—
270C22×C32#12614yes—
271C22×C32#12614yes—
272C22×C32C22×D411yescharacteristic
273C22×C32C22×D411yescharacteristic
274C22×C32C2×#4111yescharacteristic
275C22×C32C2×#4111yescharacteristic
276C22×C32C2×#4111yescharacteristic
277C22×C32C2×#4111yescharacteristic
278C22×C32C2×#4111yescharacteristic
279C2×C3×D3—24no—
280C2×C3×D3—24no—
281C2×C3×D3—24no—
282C2×C3×D3—42no—
283C2×C3×D3—42no—
284C2×C3×D3—42no—
285C2×C3×D3—42no—
286C2×C3×D3—416no—
287C32×C4—42no—
288C32×C4—42no—
289C32×C4—42no—
290C3×Dic3—24no—
291C3×Dic3—42no—
292C3×Dic3—42no—
293C25—31no—
294C23×C4—31no—
295C23×C4—31no—
296C23×C4—31no—
297C23×C4C2×C3×D311yescharacteristic
298C23×C4C2×C3×D311yescharacteristic
299C23×C4C2×C3×D311yescharacteristic
300C2×C4⋊C4—34no—
301C2×C4⋊C4—64no—
302C2×C22⋊C4—34no—
303C2×C22⋊C4—34no—
304C2×C22⋊C4—34no—
305C2×C22⋊C4—64no—
306C2×C22⋊C4—64no—
307C2×C22⋊C4—64no—
308#95—34no—
309#95—34no—
310#95C2×C3×D314yescomplemented
311C23×C3—21no—
312C23×C3—22no—
313C23×C3—22no—
314C23×C3—22no—
315C23×C3—22no—
316C23×C3—22no—
317C23×C3—22no—
318C23×C3—22no—
319C23×C3—34no—
320C23×C3—68no—
321C23×C3—68no—
322C23×C3—68no—
323C23×C3—62no—
324C23×C3—62no—
325C23×C3—62no—
326C23×C3—62no—
327C23×C3—62no—
328C23×C3—62no—
329C23×C3—124no—
330C23×C3—124no—
331C23×C3—124no—
332C23×C3—124no—
333C23×C3#23512yes—
334C23×C3#23512yes—
335C23×C3#23512yes—
336C23×C3D3×D412yes—
337C23×C3D3×D412yes—
338C23×C3#23712yes—
339C23×C3#23912yes—
340C23×C3C2×C3×D412yes—
341C23×C3C2×C3×D412yes—
342C23×C3C3×#4112yes—
343C23×C3C3×#4112yes—
344C23×C3C3×#4112yes—
345C23×C3C3×#4112yes—
346C23×C3C3×#4112yes—
347C23×C3C23×D311yescharacteristic
348C23×C3C24×C311yescharacteristic
349C22×D3—28no—
350C22×D3—28no—
351C22×D3—28no—
352C22×D3—22no—
353C22×D3—22no—
354C22×D3—22no—
355C22×D3—22no—
356C22×D3—22no—
357C22×D3—22no—
358C22×D3—44no—
359C22×D3—44no—
360C22×D3—44no—
361C22×D3—44no—
362C22×D3C2×C3×D414yes—
363C2×C3×C4—24no—
364C2×C3×C4—24no—
365C2×C3×C4—24no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—22no—
371C2×C3×C4—22no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—34no—
385C2×C3×C4—42no—
386C2×C3×C4—42no—
387C2×C3×C4—42no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—48no—
392C2×C3×C4—48no—
393C2×C3×C4—48no—
394C2×C3×C4—44no—
395C2×C3×C4—44no—
396C2×C3×C4—44no—
397C2×C3×C4—44no—
398C2×C3×C4—44no—
399C2×C3×C4—44no—
400C2×C3×C4—68no—
401C2×C3×C4—62no—
402C2×C3×C4—62no—
403C2×C3×C4—62no—
404C2×C3×C4—62no—
405C2×C3×C4—62no—
406C2×C3×C4—62no—
407C2×C3×C4—62no—
408C2×C3×C4—62no—
409C2×C3×C4—124no—
410C2×C3×C4—124no—
411C2×Dic3—28no—
412C2×Dic3—22no—
413C2×Dic3—22no—
414C2×Dic3—22no—
415C2×Dic3—22no—
416C2×Dic3—22no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3—44no—
421C2×Dic3—44no—
422C2×Dic3C2×C3×D414yes—
423C2×C32#39718yescomplemented
424C2×C32C2×#12111yescharacteristic
425C2×C32C2×#12311yescharacteristic
426C2×C32C2×#12311yescharacteristic
427C2×C32C2×#12311yescharacteristic
428C2×C32C2×#12411yescharacteristic
429C2×C32C2×#12611yescharacteristic
430C2×C32C2×#12611yescharacteristic
431C3×D3—44no—
432C24—32no—
433C24—34no—
434C24—62no—
435C24—62no—
436C24—62no—
437C24—62no—
438C24—62no—
439C24—62no—
440C24C22×C3×D311yescharacteristic
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—32no—
451C22×C4—34no—
452C22×C4—32no—
453C22×C4—32no—
454C22×C4—62no—
455C22×C4—62no—
456C22×C4—62no—
457C22×C4—62no—
458C22×C4—62no—
459C22×C4—62no—
460C22×C4—62no—
461C22×C4—62no—
462C22×C4C22×C3×D312yes—
463C22×C4C22×C3×D312yes—
464C22×C4C22×C3×D312yes—
465C4⋊C4—68no—
466C22⋊C4—68no—
467C22⋊C4—68no—
468C22⋊C4—68no—
469C22×C3—24no—
470C22×C3—24no—
471C22×C3—24no—
472C22×C3—24no—
473C22×C3—24no—
474C22×C3—24no—
475C22×C3—21no—
476C22×C3—21no—
477C22×C3—21no—
478C22×C3—21no—
479C22×C3—21no—
480C22×C3—21no—
481C22×C3—21no—
482C22×C3—24no—
483C22×C3—64no—
484C22×C3—64no—
485C22×C3—64no—
486C22×C3—1216no—
487C22×C3—122no—
488C22×C3—122no—
489C22×C3—122no—
490C22×C3—122no—
491C22×C3#87614yes—
492C22×C3#88314yes—
493C22×C3#88414yes—
494C22×C3#88514yes—
495C22×C3#89414yes—
496C22×C3#89414yes—
497C22×C3#89814yes—
498C22×C3C3×#12114yes—
499C22×C3C3×#12314yes—
500C22×C3C3×#12314yes—
501C22×C3C3×#12314yes—
502C22×C3C3×#12414yes—
503C22×C3C3×#12614yes—
504C22×C3C3×#12614yes—
505C22×C3C2×#23511yescharacteristic
506C22×C3C2×#23511yescharacteristic
507C22×C3C2×#23511yescharacteristic
508C22×C3C2×D3×D411yescharacteristic
509C22×C3C2×D3×D411yescharacteristic
510C22×C3C2×#23711yescharacteristic
511C22×C3C2×#23911yescharacteristic
512C22×C3C22×C3×D411yescharacteristic
513C22×C3C22×C3×D411yescharacteristic
514C22×C3C2×C3×#4111yescharacteristic
515C22×C3C2×C3×#4111yescharacteristic
516C22×C3C2×C3×#4111yescharacteristic
517C22×C3C2×C3×#4111yescharacteristic
518C22×C3C2×C3×#4111yescharacteristic
519C2×D3—24no—
520C2×D3—24no—
521C2×D3—24no—
522C2×D3—416no—
523C2×D3—42no—
524C2×D3—42no—
525C2×D3—42no—
526C2×D3—42no—
527C3×C4—44no—
528C3×C4—44no—
529C3×C4—44no—
530C3×C4—42no—
531C3×C4—42no—
532C3×C4—42no—
533C3×C4—42no—
534C3×C4—42no—
535C3×C4—42no—
536C3×C4—64no—
537C3×C4—122no—
538C3×C4—122no—
539Dic3—24no—
540Dic3—42no—
541Dic3—42no—
542C32C2×#39711yescharacteristic, complemented, Sylow
543C23—34no—
544C23—68no—
545C23—68no—
546C23—68no—
547C23—62no—
548C23—62no—
549C23—62no—
550C23—62no—
551C23—62no—
552C23—62no—
553C23—124no—
554C23—124no—
555C23—124no—
556C23—124no—
557C23C3×#23512yes—
558C23C3×#23512yes—
559C23C3×#23512yes—
560C23C3×D3×D412yes—
561C23C3×D3×D412yes—
562C23C3×#23712yes—
563C23C3×#23912yes—
564C23C23×C3×D311yescharacteristic
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—34no—
575C2×C4—44no—
576C2×C4—44no—
577C2×C4—44no—
578C2×C4—68no—
579C2×C4—62no—
580C2×C4—62no—
581C2×C4—62no—
582C2×C4—62no—
583C2×C4—62no—
584C2×C4—62no—
585C2×C4—62no—
586C2×C4—62no—
587C2×C4—124no—
588C2×C4—124no—
589C2×C3—21no—
590C2×C3—21no—
591C2×C3—21no—
592C2×C3—21no—
593C2×C3—21no—
594C2×C3—21no—
595C2×C3—28no—
596C2×C3—21no—
597C2×C3—124no—
598C2×C3#467518yesdirect product factor
599C2×C3C3×#39718yescomplemented
600C2×C3C2×#87611yescharacteristic
601C2×C3C2×#88311yescharacteristic
602C2×C3C2×#88411yescharacteristic
603C2×C3C2×#88511yescharacteristic
604C2×C3C2×#89411yescharacteristic
605C2×C3C2×#89411yescharacteristic
606C2×C3C2×#89811yescharacteristic
607C2×C3C2×C3×#12111yescharacteristic
608C2×C3C2×C3×#12311yescharacteristic
609C2×C3C2×C3×#12311yescharacteristic
610C2×C3C2×C3×#12311yescharacteristic
611C2×C3C2×C3×#12411yescharacteristic
612C2×C3C2×C3×#12611yescharacteristic
613C2×C3C2×C3×#12611yescharacteristic
614D3—44no—
615C22—64no—
616C22—64no—
617C22—64no—
618C22—122no—
619C22—122no—
620C22—122no—
621C22—1216no—
622C22—122no—
623C22C3×#87614yes—
624C22C3×#88314yes—
625C22C3×#88414yes—
626C22C3×#88514yes—
627C22C3×#89414yes—
628C22C3×#89414yes—
629C22C3×#89814yes—
630C22C2×C3×#23511yescharacteristic
631C22C2×C3×#23511yescharacteristic
632C22C2×C3×#23511yescharacteristic
633C22C2×C3×D3×D411yescharacteristic
634C22C2×C3×D3×D411yescharacteristic
635C22C2×C3×#23711yescharacteristic
636C22C2×C3×#23911yescharacteristic
637C4—42no—
638C4—42no—
639C4—42no—
640C4—64no—
641C4—122no—
642C4—122no—
643C3—21no—
644C3C2×#467511yescharacteristic, direct product factor
645C3C2×C3×#39711yescharacteristic, complemented
646C2—124no—
647C2C3×#467518yesdirect product factor
648C2C2×C3×#87611yescharacteristic
649C2C2×C3×#88311yescharacteristic
650C2C2×C3×#88411yescharacteristic
651C2C2×C3×#88511yescharacteristic
652C2C2×C3×#89411yescharacteristic
653C2C2×C3×#89411yescharacteristic
654C2C2×C3×#89811yescharacteristic
subgroupG/H
centerC24×C3C22×D3
commutator, cosocleC23×C3C24×C3
FrattiniC23C23×C3×D3
FittingC2×C32×#95C2
socleC24×C32C23
prime radicalC24×C3×D3C22
hypercenterC2×C3×#95D3
hypocenterC3C2×C3×#397
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24×C3 ◁ C2×C3×#95

Complements

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

NH ≅ G/Ntype
4. C22×C3×Dic3⋊C4C2semidirect
5. C2×C32×#95C2semidirect
6. C2×C3×C3⋊#95C2semidirect
7. C2×C3×C3⋊#95C2semidirect
8. C3×#4675C2direct (N × H)
10. C2×#4675C3direct (N × H)
25. C2×C3×Dic3⋊C4C22semidirect
26. C32×#95C22semidirect
27. C3×C3⋊#95C22semidirect
28. C3×C3⋊#95C22semidirect
36. C22×Dic3⋊C4C2×C3semidirect
41. C2×C3×#95D3semidirect
42. C2×C3×#95C2×C3semidirect
43. C2×C3⋊#95C2×C3semidirect
44. C2×C3⋊#95C2×C3semidirect
45. #4675C2×C3direct (N × H)
116. C2×Dic3⋊C4C22×C3semidirect
120. C3×#95C2×D3semidirect
121. C3×#95C22×C3semidirect
122. C3⋊#95C22×C3semidirect
123. C3⋊#95C22×C3semidirect
177. C2×#95C3×D3semidirect
310. #95C2×C3×D3semidirect
423. C2×C32#397semidirect
542. C32C2×#397semidirect
598. C2×C3#4675direct (N × H)
599. C2×C3C3×#397semidirect
644. C3C2×#4675direct (N × H)
645. C3C2×C3×#397semidirect
647. C2C3×#4675direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×(C2×D3)⋊C42
C22×C3×Dic3⋊C42
C2×C32×#952
C2×C3×C3⋊#952
C3×#46752
C2×C3×#3973
C2×#46753