Finite Group Databasebeta

← C2×C3×#63827 #13174425

Subgroups — C2×C3×#63827 #13174425

Order 1728.

1474 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#235C211yesmaximal, characteristic
2C22×C32×Dic6C211yesmaximal, characteristic, complemented
3C2×C3×#3748C211yesmaximal, characteristic, complemented
4C2×C3×#3718C212yesmaximal, complemented
5C3×#63827C218yesmaximal, direct product factor
6C2×C3×#3715C212yesmaximal, complemented
7C2×C3×#951—31nomaximal
8C2×C3×#942—31nomaximal
9C2×#63827C311yesmaximal, characteristic, direct product factor
10C22×C33×C4C2211yescharacteristic
11C2×C32×#67—21no—
12C22×C32×Dic3—21no—
13C32×#235—22no—
14C32×#235C2214yes—
15C2×C32×D12C2211yescharacteristic
16C2×C32×C4×D3—21no—
17C2×C32×Dic6—22no—
18C2×C32×Dic6—21no—
19C2×C32×Dic6C2212yes—
20C2×C32×Dic6C2211yescharacteristic
21C2×C32×Dic6C2214yescomplemented
22C3×#3748C2214yescomplemented
23C2×C3×C3⋊(C3⋊C8)C2212yes—
24C3×#3718C2218yescomplemented
25C3×#3715C2218yescomplemented
26C2×C32×#41—31no—
27C22×C32×Q8—31no—
28C2×C3×#235—21no—
29C2×C3×#235D311yescharacteristic
30C2×C3×#235C2×C311yescharacteristic
31C22×C3×Dic6—21no—
32C22×C3×Dic6D311yescharacteristic, complemented
33C22×C3×Dic6C2×C311yescharacteristic, complemented
34C2×#3748C2×C311yescharacteristic, complemented
35C3×#951—38no—
36C2×C3×#216—32no—
37C2×C3×#216—32no—
38C3×#942—38no—
39C2×C3×#215—32no—
40C2×C3×#214—32no—
41C2×C3×#208—31no—
42C2×C3×#208—31no—
43C2×C3×#208—61no—
44C2×#3718C2×C312yescomplemented
45#63827C2×C318yesdirect product factor
46C2×#3715C2×C312yescomplemented
47C23×C33D411yescharacteristic
48C22×C32×D3—21no—
49C2×C33×C4D411yescharacteristic
50C2×C33×C4D412yes—
51C2×C33×C4C2311yescharacteristic
52C2×C33×C4C2312yes—
53C32×#67—24no—
54C2×C32×Dic3—22no—
55C2×C32×Dic3—24no—
56C2×C32×Dic3—21no—
57C32×D12—21no—
58C32×D12C2312yes—
59C32×C4×D3—24no—
60C32×Dic6—22no—
61C32×Dic6—24no—
62C32×Dic6—21no—
63C32×Dic6C2314yes—
64C32×Dic6C2312yes—
65C3×C3⋊(C3⋊C8)C2314yes—
66C2×C3×#137—91no—
67C2×#951—31no—
68C2×#942—31no—
69C32×#41—34no—
70C32×#41—62no—
71C2×C32×Q8—32no—
72C2×C32×Q8—34no—
73C2×C32×Q8—31no—
74C2×C32×Q8—61no—
75C2×C32×Q8—62no—
76C2×C32×D4—31no—
77C2×C32×D4—61no—
78C22×C32×C4—21no—
79C22×C32×C4—21no—
80C22×C32×C4—21no—
81C22×C32×C4—41no—
82C22×C32×C4—61no—
83C22×C32×C4—61no—
84C22×C32×C4C2×D311yescharacteristic
85C22×C32×C4C2×D311yescharacteristic
86C22×C32×C4C22×C311yescharacteristic
87C2×C3×#67—22no—
88C2×C3×#67—21no—
89C2×C3×#67—21no—
90C22×C3×Dic3—22no—
91C22×C3×Dic3—21no—
92C22×C3×Dic3—21no—
93C3×#235—24no—
94C3×#235—24no—
95C3×#235—22no—
96C3×#235—22no—
97C3×#235C2×D314yes—
98C3×#235C22×C314yes—
99C2×C3×D12—21no—
100C2×C3×D12C2×D311yescharacteristic
101C2×C3×D12C22×C311yescharacteristic
102C2×C3×C4×D3—22no—
103C2×C3×C4×D3—21no—
104C2×C3×C4×D3—21no—
105C2×C3×Dic6—24no—
106C2×C3×Dic6—22no—
107C2×C3×Dic6—22no—
108C2×C3×Dic6—21no—
109C2×C3×Dic6—24no—
110C2×C3×Dic6—22no—
111C2×C3×Dic6—21no—
112C2×C3×Dic6—22no—
113C2×C3×Dic6—21no—
114C2×C3×Dic6C2×D312yes—
115C2×C3×Dic6C2×D311yescharacteristic
116C2×C3×Dic6C2×D314yescomplemented
117C2×C3×Dic6C22×C312yes—
118C2×C3×Dic6C22×C311yescharacteristic
119C2×C3×Dic6C22×C314yescomplemented
120#3748C22×C314yescomplemented
121C2×C3⋊(C3⋊C8)C22×C312yes—
122C3×#216—38no—
123C3×#216—38no—
124C3×#215—38no—
125C3×#214—38no—
126C3×#208—34no—
127C3×#208—34no—
128C3×#208—64no—
129C2×C3×C3⋊C8—32no—
130C2×C3×C3⋊C8—32no—
131C2×C3×C3⋊C8—62no—
132#3718C22×C318yescomplemented
133#3715C22×C318yescomplemented
134C22×C33—22no—
135C22×C33C2×D412yes—
136C22×C33C2×D411yescharacteristic
137C2×C32×D3—22no—
138C2×C32×D3—42no—
139C33×C4C2×D411yescharacteristic
140C33×C4C2×D412yes—
141C33×C4C2411yescharacteristic
142C32×Dic3—24no—
143C32×Dic3—22no—
144C2×C3×#41—31no—
145C2×C3×#41—31no—
146C2×C3×#41—61no—
147C22×C3×Q8—31no—
148C22×C3×Q8—31no—
149C22×C3×Q8—61no—
150C2×#235C3×D311yescharacteristic
151C22×Dic6C3×D311yescharacteristic, complemented
152C3×#137—98no—
153C2×C3×Q16—92no—
154C2×C3×SD16—92no—
155C2×C3×M16—91no—
156#951—38no—
157C2×#216—32no—
158C2×#216—32no—
159#942—38no—
160C2×#215—32no—
161C2×#214—32no—
162C2×#208—31no—
163C2×#208—31no—
164C2×#208—61no—
165C23×C32—21no—
166C23×C32—21no—
167C23×C32—21no—
168C23×C32—41no—
169C23×C32—61no—
170C23×C32#6711yescharacteristic
171C23×C32#6711yescharacteristic
172C23×C32C3×D411yescharacteristic
173C22×C3×D3—22no—
174C22×C3×D3—21no—
175C22×C3×D3—21no—
176C32×Q8—34no—
177C32×Q8—32no—
178C32×Q8—62no—
179C32×Q8—64no—
180C32×Q8—61no—
181C32×D4—32no—
182C32×D4—64no—
183C32×D4—61no—
184C2×C32×C4—22no—
185C2×C32×C4—21no—
186C2×C32×C4—21no—
187C2×C32×C4—22no—
188C2×C32×C4—21no—
189C2×C32×C4—22no—
190C2×C32×C4—21no—
191C2×C32×C4—22no—
192C2×C32×C4—21no—
193C2×C32×C4—22no—
194C2×C32×C4—21no—
195C2×C32×C4—22no—
196C2×C32×C4—41no—
197C2×C32×C4—42no—
198C2×C32×C4—41no—
199C2×C32×C4—42no—
200C2×C32×C4—61no—
201C2×C32×C4—64no—
202C2×C32×C4—62no—
203C2×C32×C4—64no—
204C2×C32×C4#6711yescharacteristic
205C2×C32×C4#6712yes—
206C2×C32×C4#6711yescharacteristic
207C2×C32×C4#6712yes—
208C2×C32×C4C3×D411yescharacteristic
209C2×C32×C4C3×D412yes—
210C2×C32×C4C22×D311yescharacteristic
211C2×C32×C4C22×D311yescharacteristic
212C2×C32×C4C22×D312yes—
213C2×C32×C4C22×D312yes—
214C2×C32×C4C23×C311yescharacteristic
215C2×C32×C4C23×C312yes—
216C3×#67—28no—
217C3×#67—24no—
218C3×#67—24no—
219C2×C3×Dic3—24no—
220C2×C3×Dic3—28no—
221C2×C3×Dic3—22no—
222C2×C3×Dic3—22no—
223C2×C3×Dic3—24no—
224C2×C3×Dic3—21no—
225C2×C3×Dic3—22no—
226C2×C3×Dic3—24no—
227C2×C3×Dic3—21no—
228C3×D12—22no—
229C3×D12—21no—
230C3×D12—21no—
231C3×D12—22no—
232C3×D12C22×D312yes—
233C3×D12C23×C312yes—
234C3×C4×D3—28no—
235C3×C4×D3—24no—
236C3×C4×D3—24no—
237C3×Dic6—24no—
238C3×Dic6—28no—
239C3×Dic6—22no—
240C3×Dic6—22no—
241C3×Dic6—24no—
242C3×Dic6—21no—
243C3×Dic6—22no—
244C3×Dic6—24no—
245C3×Dic6—21no—
246C3×Dic6—24no—
247C3×Dic6—22no—
248C3×Dic6C22×D314yes—
249C3×Dic6C22×D312yes—
250C3×Dic6C23×C314yes—
251C3×Dic6C23×C312yes—
252C3⋊(C3⋊C8)C23×C314yes—
253C3×C3⋊C8—34no—
254C3×C3⋊C8—34no—
255C3×C3⋊C8—64no—
256C2×#137—91noSylow
257C2×C33—22no—
258C2×C33#13712yescomplemented
259C2×C33C22×D411yescharacteristic
260C32×D3—42no—
261C3×#41—34no—
262C3×#41—34no—
263C3×#41—64no—
264C3×#41—64no—
265C3×#41—62no—
266C3×#41—62no—
267C2×C3×Q8—32no—
268C2×C3×Q8—31no—
269C2×C3×Q8—34no—
270C2×C3×Q8—32no—
271C2×C3×Q8—34no—
272C2×C3×Q8—31no—
273C2×C3×Q8—62no—
274C2×C3×Q8—64no—
275C2×C3×Q8—61no—
276C2×C3×Q8—62no—
277C2×C3×Q8—64no—
278C2×C3×Q8—62no—
279C2×C3×Q8—61no—
280C2×C3×Q8—61no—
281C2×C3×Q8—62no—
282C2×C3×D4—31no—
283C2×C3×D4—31no—
284C2×C3×D4—61no—
285C2×C3×D4—62no—
286C2×C3×D4—61no—
287C2×C3×D4—61no—
288C22×C3×C4—21no—
289C22×C3×C4—21no—
290C22×C3×C4—21no—
291C22×C3×C4—41no—
292C22×C3×C4—62no—
293C22×C3×C4—62no—
294C22×C3×C4—61no—
295C22×C3×C4—61no—
296C22×C3×C4—61no—
297C22×C3×C4—61no—
298C22×C3×C4D3211yescharacteristic
299C22×C3×C4C2×C3×D311yescharacteristic
300C22×C3×C4C2×C3×D311yescharacteristic
301C2×#67—21no—
302C22×Dic3—21no—
303#235—22no—
304#235C2×C3×D314yes—
305C2×D12C2×C3×D311yescharacteristic
306C2×C4×D3—21no—
307C2×Dic6—22no—
308C2×Dic6—21no—
309C2×Dic6C2×C3×D312yes—
310C2×Dic6C2×C3×D311yescharacteristic
311C2×Dic6C2×C3×D314yescomplemented
312C3×Q16—98no—
313C3×SD16—98no—
314C3×M16—94no—
315C2×C3×C8—92no—
316#216—38no—
317#216—38no—
318#215—38no—
319#214—38no—
320#208—34no—
321#208—34no—
322#208—64no—
323C2×C3⋊C8—32no—
324C2×C3⋊C8—32no—
325C2×C3⋊C8—62no—
326C22×C32—22no—
327C22×C32—24no—
328C22×C32—22no—
329C22×C32—22no—
330C22×C32—22no—
331C22×C32—21no—
332C22×C32—22no—
333C22×C32—21no—
334C22×C32—21no—
335C22×C32—22no—
336C22×C32—41no—
337C22×C32—42no—
338C22×C32—42no—
339C22×C32—42no—
340C22×C32—44no—
341C22×C32—62no—
342C22×C32—122no—
343C22×C32C2×#6712yes—
344C22×C32C2×#6712yes—
345C22×C32C2×#6711yescharacteristic
346C22×C32C2×#6711yescharacteristic
347C22×C32C2×C3×D412yes—
348C22×C32C2×C3×D411yescharacteristic
349C2×C3×D3—24no—
350C2×C3×D3—22no—
351C2×C3×D3—22no—
352C2×C3×D3—44no—
353C2×C3×D3—42no—
354C2×C3×D3—42no—
355C32×C4—21no—
356C32×C4—21no—
357C32×C4—21no—
358C32×C4—22no—
359C32×C4—21no—
360C32×C4—22no—
361C32×C4—21no—
362C32×C4—21no—
363C32×C4—22no—
364C32×C4—42no—
365C32×C4—41no—
366C32×C4—41no—
367C32×C4—62no—
368C32×C4—64no—
369C32×C4C2×#6712yes—
370C32×C4C2×#6711yescharacteristic
371C32×C4C2×#6711yescharacteristic
372C32×C4C2×#6712yes—
373C32×C4C2×C3×D411yescharacteristic
374C32×C4C2×C3×D412yes—
375C32×C4C23×D311yescharacteristic
376C32×C4C23×D311yescharacteristic
377C32×C4C24×C311yescharacteristic
378C3×Dic3—28no—
379C3×Dic3—24no—
380C3×Dic3—24no—
381C3×Dic3—22no—
382C3×Dic3—24no—
383C3×Dic3—22no—
384C2×#41—31no—
385C22×Q8—31no—
386#137—98no—
387C2×Q16—92no—
388C2×SD16—92no—
389C2×M16—91no—
390C33C2×#13711yescharacteristic, complemented, Sylow
391C23×C3—21no—
392C23×C3—21no—
393C23×C3—21no—
394C23×C3—41no—
395C23×C3—62no—
396C23×C3—61no—
397C23×C3—61no—
398C23×C3#62511yescharacteristic
399C23×C3C3×#6711yescharacteristic
400C23×C3C3×#6711yescharacteristic
401C22×D3—21no—
402C3×Q8—34no—
403C3×Q8—32no—
404C3×Q8—34no—
405C3×Q8—32no—
406C3×Q8—64no—
407C3×Q8—62no—
408C3×Q8—68no—
409C3×Q8—64no—
410C3×Q8—62no—
411C3×Q8—64no—
412C3×Q8—62no—
413C3×Q8—61no—
414C3×Q8—62no—
415C3×Q8—64no—
416C3×Q8—61no—
417C3×D4—32no—
418C3×D4—32no—
419C3×D4—62no—
420C3×D4—62no—
421C3×D4—68no—
422C3×D4—64no—
423C3×D4—64no—
424C3×D4—61no—
425C3×D4—61no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—21no—
431C2×C3×C4—22no—
432C2×C3×C4—21no—
433C2×C3×C4—21no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—21no—
437C2×C3×C4—22no—
438C2×C3×C4—41no—
439C2×C3×C4—42no—
440C2×C3×C4—41no—
441C2×C3×C4—42no—
442C2×C3×C4—68no—
443C2×C3×C4—62no—
444C2×C3×C4—68no—
445C2×C3×C4—64no—
446C2×C3×C4—64no—
447C2×C3×C4—61no—
448C2×C3×C4—62no—
449C2×C3×C4—61no—
450C2×C3×C4—64no—
451C2×C3×C4—62no—
452C2×C3×C4—64no—
453C2×C3×C4—64no—
454C2×C3×C4#62512yes—
455C2×C3×C4#62511yescharacteristic
456C2×C3×C4C3×#6711yescharacteristic
457C2×C3×C4C3×#6712yes—
458C2×C3×C4C3×#6711yescharacteristic
459C2×C3×C4C3×#6712yes—
460C2×C3×C4C2×D3212yes—
461C2×C3×C4C2×D3211yescharacteristic
462C2×C3×C4C22×C3×D311yescharacteristic
463C2×C3×C4C22×C3×D311yescharacteristic
464C2×C3×C4C22×C3×D312yes—
465C2×C3×C4C22×C3×D312yes—
466#67—24no—
467C2×Dic3—22no—
468C2×Dic3—24no—
469C2×Dic3—21no—
470D12—21no—
471D12C22×C3×D312yes—
472C4×D3—24no—
473Dic6—22no—
474Dic6—24no—
475Dic6—21no—
476Dic6C22×C3×D314yes—
477Dic6C22×C3×D312yes—
478C3×C8—94no—
479C3⋊C8—34no—
480C3⋊C8—34no—
481C3⋊C8—64no—
482C2×C32—22no—
483C2×C32—24no—
484C2×C32—22no—
485C2×C32—22no—
486C2×C32—22no—
487C2×C32—21no—
488C2×C32—22no—
489C2×C32—22no—
490C2×C32—21no—
491C2×C32—21no—
492C2×C32—42no—
493C2×C32—41no—
494C2×C32—42no—
495C2×C32—42no—
496C2×C32—44no—
497C2×C32—122no—
498C2×C32#94212yescomplemented
499C2×C32#95112yescomplemented
500C2×C32C3×#13712yescomplemented
501C2×C32C22×#6711yescharacteristic
502C2×C32C22×#6711yescharacteristic
503C2×C32C22×C3×D411yescharacteristic
504C3×D3—44no—
505C3×D3—42no—
506C3×D3—42no—
507#41—34no—
508#41—62no—
509C2×Q8—32no—
510C2×Q8—31no—
511C2×Q8—34no—
512C2×Q8—61no—
513C2×Q8—62no—
514C2×D4—31no—
515C2×D4—61no—
516C22×C4—61no—
517C22×C4—61no—
518C22×C4C3×D3211yescharacteristic
519Q16—98no—
520SD16—98no—
521M16—94no—
522C2×C8—92no—
523C22×C3—24no—
524C22×C3—22no—
525C22×C3—22no—
526C22×C3—22no—
527C22×C3—22no—
528C22×C3—21no—
529C22×C3—21no—
530C22×C3—21no—
531C22×C3—22no—
532C22×C3—22no—
533C22×C3—42no—
534C22×C3—42no—
535C22×C3—44no—
536C22×C3—42no—
537C22×C3—41no—
538C22×C3—64no—
539C22×C3—62no—
540C22×C3—62no—
541C22×C3—124no—
542C22×C3—122no—
543C22×C3—122no—
544C22×C3C2×#62512yes—
545C22×C3C2×#62511yescharacteristic
546C22×C3C2×C3×#6712yes—
547C22×C3C2×C3×#6712yes—
548C22×C3C2×C3×#6711yescharacteristic
549C22×C3C2×C3×#6711yescharacteristic
550C2×D3—22no—
551C2×D3—42no—
552C3×C4—21no—
553C3×C4—21no—
554C3×C4—21no—
555C3×C4—22no—
556C3×C4—21no—
557C3×C4—22no—
558C3×C4—21no—
559C3×C4—22no—
560C3×C4—21no—
561C3×C4—41no—
562C3×C4—42no—
563C3×C4—41no—
564C3×C4—64no—
565C3×C4—68no—
566C3×C4—62no—
567C3×C4—64no—
568C3×C4—62no—
569C3×C4—64no—
570C3×C4C2×#62512yes—
571C3×C4C2×#62511yescharacteristic
572C3×C4C2×C3×#6712yes—
573C3×C4C2×C3×#6711yescharacteristic
574C3×C4C2×C3×#6711yescharacteristic
575C3×C4C2×C3×#6712yes—
576C3×C4C22×D3211yescharacteristic
577C3×C4C23×C3×D311yescharacteristic
578C3×C4C23×C3×D311yescharacteristic
579Dic3—24no—
580Dic3—22no—
581C32—21no—
582C32—21no—
583C32—21no—
584C32—41no—
585C32C2×#94211yescharacteristic, complemented
586C32C2×#95111yescharacteristic, complemented
587C32C2×C3×#13711yescharacteristic, complemented
588C23—61no—
589C23C3×#62511yescharacteristic
590Q8—34no—
591Q8—32no—
592Q8—64no—
593Q8—62no—
594Q8—61no—
595D4—32no—
596D4—64no—
597D4—61no—
598C2×C4—61no—
599C2×C4—64no—
600C2×C4—62no—
601C2×C4—64no—
602C2×C4C3×#62511yescharacteristic
603C2×C4C3×#62512yes—
604C2×C4C2×C3×D3211yescharacteristic
605C2×C4C2×C3×D3212yes—
606C8—94no—
607C2×C3—24no—
608C2×C3—22no—
609C2×C3—22no—
610C2×C3—22no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—22no—
615C2×C3—22no—
616C2×C3—22no—
617C2×C3—42no—
618C2×C3—42no—
619C2×C3—44no—
620C2×C3—41no—
621C2×C3—42no—
622C2×C3—124no—
623C2×C3—122no—
624C2×C3—122no—
625C2×C3#6382712yesdirect product factor
626C2×C3C3×#94212yescomplemented
627C2×C3C3×#95112yescomplemented
628C2×C3C22×#62511yescharacteristic
629C2×C3C22×C3×#6711yescharacteristic
630C2×C3C22×C3×#6711yescharacteristic
631D3—42no—
632C22—22no—
633C22—62no—
634C22—122no—
635C22C2×C3×#62512yes—
636C22C2×C3×#62511yescharacteristic
637C4—62no—
638C4—64no—
639C4C2×C3×#62512yes—
640C4C2×C3×#62511yescharacteristic
641C4C22×C3×D3211yescharacteristic
642C3—21no—
643C3—21no—
644C3—21no—
645C3—41no—
646C3C2×#6382711yescharacteristic, direct product factor
647C3C2×C3×#94211yescharacteristic, complemented
648C3C2×C3×#95111yescharacteristic, complemented
649C2—22no—
650C2—122no—
651C2C3×#6382712yesdirect product factor
652C2C22×C3×#62511yescharacteristic
subgroupG/H
centerC22×C3C2×#625
commutator, cosocleC32×C4C24×C3
FrattiniC4C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C2×D4
prime radicalC2×C32×#235C2
hypercenterC22×C3×C4D32
hypocenterC32C2×C3×#137
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
2. C22×C32×Dic6C2semidirect
3. C2×C3×#3748C2semidirect
4. C2×C3×#3718C2semidirect
5. C3×#63827C2direct (N × H)
6. C2×C3×#3715C2semidirect
9. C2×#63827C3direct (N × H)
21. C2×C32×Dic6C22semidirect
22. C3×#3748C22semidirect
24. C3×#3718C22semidirect
25. C3×#3715C22semidirect
32. C22×C3×Dic6D3semidirect
33. C22×C3×Dic6C2×C3semidirect
34. C2×#3748C2×C3semidirect
44. C2×#3718C2×C3semidirect
45. #63827C2×C3direct (N × H)
46. C2×#3715C2×C3semidirect
116. C2×C3×Dic6C2×D3semidirect
119. C2×C3×Dic6C22×C3semidirect
120. #3748C22×C3semidirect
132. #3718C22×C3semidirect
133. #3715C22×C3semidirect
151. C22×Dic6C3×D3semidirect
258. C2×C33#137semidirect
311. C2×Dic6C2×C3×D3semidirect
390. C33C2×#137semidirect
498. C2×C32#942semidirect
499. C2×C32#951semidirect
500. C2×C32C3×#137semidirect
585. C32C2×#942semidirect
586. C32C2×#951semidirect
587. C32C2×C3×#137semidirect
625. C2×C3#63827direct (N × H)
626. C2×C3C3×#942semidirect
627. C2×C3C3×#951semidirect
646. C3C2×#63827direct (N × H)
647. C3C2×C3×#942semidirect
648. C3C2×C3×#951semidirect
651. C2C3×#63827direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×#2352
C22×C32×Dic62
C2×C3×#37482
C2×C3×#37182
C3×#638272
C2×C3×#37152
C2×C3×#9513
C2×C3×#9423
C2×#638273