Finite Group Databasebeta

← C2×C3×#63833 #13174432

Subgroups — C2×C3×#63833 #13174432

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×C3×#3828C211yesmaximal, characteristic
2C22×C32×Dic6C211yesmaximal, characteristic, complemented
3C2×C32×#208C211yesmaximal, characteristic, complemented
4C2×C3×#3719C212yesmaximal, complemented
5C3×#63833C218yesmaximal, direct product factor
6C2×C3×#3717C212yesmaximal, complemented
7C2×C3×#942—31nomaximal
8C2×C3×#909—31nomaximal
9C2×#63833C311yesmaximal, characteristic, direct product factor
10C22×C33×C4C2211yescharacteristic
11C2×C3×#638—21no—
12C3×#3828—22no—
13C3×#3828C2214yes—
14C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
15C2×C3×C4×C3⋊D3—21no—
16C2×C3×#634C2211yescharacteristic
17C22×C32×Dic3—21no—
18C2×C32×Dic6—22no—
19C2×C32×Dic6—21no—
20C2×C32×Dic6C2212yes—
21C2×C32×Dic6C2214yescomplemented
22C32×#208C2214yescomplemented
23C2×C32×C3⋊C8C2212yes—
24C3×#3719C2218yescomplemented
25C3×#3717C2218yescomplemented
26C22×C32×Q8—31no—
27C2×#3828C2×C311yescharacteristic
28C2×C3×#235—31no—
29C2×C3×#235—31no—
30C2×C3×#235—61no—
31C22×C3×Dic6—21no—
32C22×C3×Dic6D311yescharacteristic, complemented
33C22×C3×Dic6C2×C311yescharacteristic, complemented
34C2×C32×M16—31no—
35C2×C3×#216—32no—
36C3×#942—38no—
37C2×C3×#215—32no—
38C2×C3×#208—21no—
39C2×C3×#208D311yescharacteristic, complemented
40C2×C3×#208C2×C311yescharacteristic, complemented
41C3×#909—38no—
42C2×C3×Dic12—32no—
43C2×C3×#204—32no—
44C2×#3719C2×C312yescomplemented
45#63833C2×C318yesdirect product factor
46C2×#3717C2×C312yescomplemented
47C23×C33D411yescharacteristic
48C22×C3×C3⋊D3—21no—
49C2×C33×C4D411yescharacteristic
50C2×C33×C4D412yes—
51C2×C33×C4C2311yescharacteristic
52C2×C33×C4C2312yes—
53C3×#638—24no—
54C2×C3×C3⋊Dic3—21no—
55C3×C4⋊(C3⋊D3)—21no—
56C3×C4⋊(C3⋊D3)C2312yes—
57C3×C4×C3⋊D3—24no—
58C3×#634—21no—
59C3×#634C2312yes—
60C2×C32×Dic3—22no—
61C2×C32×Dic3—24no—
62C32×Dic6—22no—
63C32×Dic6—24no—
64C32×Dic6C2314yes—
65C32×C3⋊C8C2314yes—
66C2×C3×#137—91no—
67C2×#942—31no—
68C2×#909—31no—
69C2×C32×Q8—32no—
70C2×C32×Q8—34no—
71C2×C32×Q8—61no—
72C2×C32×Q8—62no—
73C22×C32×C4—21no—
74C22×C32×C4—21no—
75C22×C32×C4—21no—
76C22×C32×C4—41no—
77C22×C32×C4—61no—
78C22×C32×C4C2×D311yescharacteristic
79C22×C32×C4C2×D311yescharacteristic
80C22×C32×C4C22×C311yescharacteristic
81C2×#638—21no—
82#3828—22no—
83#3828C22×C314yes—
84C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
85C2×C4×C3⋊D3—21no—
86C2×#634C22×C311yescharacteristic
87C2×C3×#67—62no—
88C2×C3×#67—61no—
89C2×C3×#67—61no—
90C22×C3×Dic3—22no—
91C22×C3×Dic3—21no—
92C22×C3×Dic3—21no—
93C3×#235—34no—
94C3×#235—34no—
95C3×#235—64no—
96C3×#235—64no—
97C3×#235—62no—
98C3×#235—62no—
99C2×C3×D12—31no—
100C2×C3×D12—31no—
101C2×C3×D12—61no—
102C2×C3×C4×D3—62no—
103C2×C3×C4×D3—61no—
104C2×C3×C4×D3—61no—
105C2×C3×Dic6—24no—
106C2×C3×Dic6—22no—
107C2×C3×Dic6—22no—
108C2×C3×Dic6—24no—
109C2×C3×Dic6—22no—
110C2×C3×Dic6—21no—
111C2×C3×Dic6—22no—
112C2×C3×Dic6—21no—
113C2×C3×Dic6—31no—
114C2×C3×Dic6—31no—
115C2×C3×Dic6—61no—
116C2×C3×Dic6C2×D312yes—
117C2×C3×Dic6C2×D314yescomplemented
118C2×C3×Dic6C22×C312yes—
119C2×C3×Dic6C22×C314yescomplemented
120C32×M16—34no—
121C2×C32×C8—32no—
122C3×#216—38no—
123C3×#215—38no—
124C3×#208—24no—
125C3×#208C2×D314yescomplemented
126C3×#208C22×C314yescomplemented
127C2×C3×C3⋊C8—22no—
128C2×C3×C3⋊C8C2×D312yes—
129C2×C3×C3⋊C8C22×C312yes—
130C3×Dic12—38no—
131C3×#204—38no—
132#3719C22×C318yescomplemented
133#3717C22×C318yescomplemented
134C22×C33—22no—
135C22×C33C2×D412yes—
136C22×C33C2×D411yescharacteristic
137C2×C3×C3⋊D3—22no—
138C2×C3×C3⋊D3—42no—
139C33×C4C2×D411yescharacteristic
140C33×C4C2×D412yes—
141C33×C4C2411yescharacteristic
142C3×C3⋊Dic3—22no—
143C32×Dic3—24no—
144C2×C3×#41—91no—
145C22×C3×Q8—31no—
146C22×C3×Q8—31no—
147C22×C3×Q8—61no—
148C2×#235—31no—
149C2×#235—31no—
150C2×#235—61no—
151C22×Dic6C3×D311yescharacteristic, complemented
152C3×#137—98no—
153C2×C3×Q16—92no—
154C2×C3×SD16—92no—
155C2×C3×M16—31no—
156C2×C3×M16—31no—
157C2×C3×M16—61no—
158C2×#216—32no—
159#942—38no—
160C2×#215—32no—
161C2×#208C3×D311yescharacteristic, complemented
162#909—38no—
163C2×Dic12—32no—
164C2×#204—32no—
165C23×C32—21no—
166C23×C32—21no—
167C23×C32—21no—
168C23×C32—41no—
169C23×C32D1211yescharacteristic
170C23×C32#6711yescharacteristic
171C23×C32C3×D411yescharacteristic
172C22×C3⋊D3—21no—
173C22×C3×D3—62no—
174C22×C3×D3—61no—
175C22×C3×D3—61no—
176C32×Q8—34no—
177C32×Q8—62no—
178C32×Q8—64no—
179C2×C32×C4—21no—
180C2×C32×C4—22no—
181C2×C32×C4—21no—
182C2×C32×C4—22no—
183C2×C32×C4—21no—
184C2×C32×C4—22no—
185C2×C32×C4—21no—
186C2×C32×C4—22no—
187C2×C32×C4—21no—
188C2×C32×C4—22no—
189C2×C32×C4—21no—
190C2×C32×C4—22no—
191C2×C32×C4—41no—
192C2×C32×C4—42no—
193C2×C32×C4—41no—
194C2×C32×C4—42no—
195C2×C32×C4—64no—
196C2×C32×C4—62no—
197C2×C32×C4D1211yescharacteristic
198C2×C32×C4D1212yes—
199C2×C32×C4#6711yescharacteristic
200C2×C32×C4#6712yes—
201C2×C32×C4C3×D411yescharacteristic
202C2×C32×C4C3×D412yes—
203C2×C32×C4C22×D311yescharacteristic
204C2×C32×C4C22×D312yes—
205C2×C32×C4C22×D311yescharacteristic
206C2×C32×C4C22×D312yes—
207C2×C32×C4C23×C311yescharacteristic
208C2×C32×C4C23×C312yes—
209#638—24no—
210C2×C3⋊Dic3—21no—
211C4⋊(C3⋊D3)—21no—
212C4⋊(C3⋊D3)C23×C312yes—
213C4×C3⋊D3—24no—
214#634—21no—
215#634C23×C312yes—
216C3×#67—68no—
217C3×#67—64no—
218C3×#67—64no—
219C2×C3×Dic3—24no—
220C2×C3×Dic3—28no—
221C2×C3×Dic3—22no—
222C2×C3×Dic3—24no—
223C2×C3×Dic3—22no—
224C2×C3×Dic3—24no—
225C2×C3×Dic3—62no—
226C2×C3×Dic3—61no—
227C2×C3×Dic3—61no—
228C3×D12—32no—
229C3×D12—32no—
230C3×D12—62no—
231C3×D12—62no—
232C3×D12—61no—
233C3×D12—61no—
234C3×C4×D3—68no—
235C3×C4×D3—64no—
236C3×C4×D3—64no—
237C3×Dic6—24no—
238C3×Dic6—28no—
239C3×Dic6—22no—
240C3×Dic6—24no—
241C3×Dic6—22no—
242C3×Dic6—24no—
243C3×Dic6—24no—
244C3×Dic6—32no—
245C3×Dic6—32no—
246C3×Dic6—62no—
247C3×Dic6—62no—
248C3×Dic6—61no—
249C3×Dic6—61no—
250C3×Dic6C22×D314yes—
251C3×Dic6C23×C314yes—
252C32×C8—34no—
253C3×C3⋊C8—24no—
254C3×C3⋊C8C22×D314yes—
255C3×C3⋊C8C23×C314yes—
256C2×#137—91noSylow
257C2×C33—22no—
258C2×C33#13712yescomplemented
259C2×C33C22×D411yescharacteristic
260C3×C3⋊D3—42no—
261C3×#41—94no—
262C3×#41—182no—
263C2×C3×Q8—32no—
264C2×C3×Q8—34no—
265C2×C3×Q8—32no—
266C2×C3×Q8—34no—
267C2×C3×Q8—62no—
268C2×C3×Q8—64no—
269C2×C3×Q8—62no—
270C2×C3×Q8—64no—
271C2×C3×Q8—62no—
272C2×C3×Q8—61no—
273C2×C3×Q8—61no—
274C2×C3×Q8—62no—
275C2×C3×Q8—91no—
276C2×C3×D4—91no—
277C2×C3×D4—181no—
278C22×C3×C4—21no—
279C22×C3×C4—21no—
280C22×C3×C4—21no—
281C22×C3×C4—41no—
282C22×C3×C4—62no—
283C22×C3×C4—61no—
284C22×C3×C4—61no—
285C22×C3×C4—181no—
286C22×C3×C4D3211yescharacteristic
287C22×C3×C4C2×C3×D311yescharacteristic
288C22×C3×C4C2×C3×D311yescharacteristic
289C2×#67—62no—
290C2×#67—61no—
291C2×#67—61no—
292C22×Dic3—21no—
293#235—34no—
294#235—34no—
295#235—64no—
296#235—64no—
297#235—62no—
298#235—62no—
299C2×D12—31no—
300C2×D12—31no—
301C2×D12—61no—
302C2×C4×D3—62no—
303C2×C4×D3—61no—
304C2×C4×D3—61no—
305C2×Dic6—22no—
306C2×Dic6—21no—
307C2×Dic6—31no—
308C2×Dic6—31no—
309C2×Dic6—61no—
310C2×Dic6C2×C3×D312yes—
311C2×Dic6C2×C3×D314yescomplemented
312C3×Q16—98no—
313C3×SD16—98no—
314C3×M16—34no—
315C3×M16—34no—
316C3×M16—64no—
317C2×C3×C8—32no—
318C2×C3×C8—32no—
319C2×C3×C8—62no—
320#216—38no—
321#215—38no—
322#208C2×C3×D314yescomplemented
323C2×C3⋊C8C2×C3×D312yes—
324Dic12—38no—
325#204—38no—
326C22×C32—22no—
327C22×C32—24no—
328C22×C32—22no—
329C22×C32—22no—
330C22×C32—22no—
331C22×C32—21no—
332C22×C32—21no—
333C22×C32—22no—
334C22×C32—22no—
335C22×C32—21no—
336C22×C32—41no—
337C22×C32—42no—
338C22×C32—42no—
339C22×C32—42no—
340C22×C32—44no—
341C22×C32C2×D1212yes—
342C22×C32C2×D1211yescharacteristic
343C22×C32C2×#6712yes—
344C22×C32C2×#6711yescharacteristic
345C22×C32C2×C3×D412yes—
346C22×C32C2×C3×D411yescharacteristic
347C2×C3⋊D3—22no—
348C2×C3⋊D3—42no—
349C2×C3×D3—64no—
350C2×C3×D3—62no—
351C2×C3×D3—62no—
352C2×C3×D3—124no—
353C2×C3×D3—122no—
354C2×C3×D3—122no—
355C32×C4—21no—
356C32×C4—21no—
357C32×C4—21no—
358C32×C4—21no—
359C32×C4—22no—
360C32×C4—21no—
361C32×C4—22no—
362C32×C4—21no—
363C32×C4—22no—
364C32×C4—41no—
365C32×C4—42no—
366C32×C4—41no—
367C32×C4—64no—
368C32×C4C2×D1211yescharacteristic
369C32×C4C2×D1212yes—
370C32×C4C2×#6711yescharacteristic
371C32×C4C2×#6712yes—
372C32×C4C2×C3×D411yescharacteristic
373C32×C4C2×C3×D412yes—
374C32×C4C23×D311yescharacteristic
375C32×C4C23×D311yescharacteristic
376C32×C4C24×C311yescharacteristic
377C3⋊Dic3—22no—
378C3×Dic3—28no—
379C3×Dic3—24no—
380C3×Dic3—24no—
381C3×Dic3—64no—
382C3×Dic3—62no—
383C3×Dic3—62no—
384C2×#41—91no—
385C22×Q8—31no—
386#137—98no—
387C2×Q16—92no—
388C2×SD16—92no—
389C2×M16—31no—
390C33C2×#13711yescharacteristic, complemented, Sylow
391C23×C3—21no—
392C23×C3—21no—
393C23×C3—21no—
394C23×C3—41no—
395C23×C3—181no—
396C23×C3#62611yescharacteristic
397C23×C3C3×D1211yescharacteristic
398C23×C3C3×#6711yescharacteristic
399C22×D3—62no—
400C22×D3—61no—
401C22×D3—61no—
402C3×Q8—34no—
403C3×Q8—34no—
404C3×Q8—64no—
405C3×Q8—68no—
406C3×Q8—64no—
407C3×Q8—64no—
408C3×Q8—62no—
409C3×Q8—62no—
410C3×Q8—64no—
411C3×Q8—92no—
412C3×Q8—181no—
413C3×D4—92no—
414C3×D4—184no—
415C3×D4—181no—
416C2×C3×C4—21no—
417C2×C3×C4—22no—
418C2×C3×C4—21no—
419C2×C3×C4—22no—
420C2×C3×C4—21no—
421C2×C3×C4—22no—
422C2×C3×C4—21no—
423C2×C3×C4—22no—
424C2×C3×C4—21no—
425C2×C3×C4—22no—
426C2×C3×C4—21no—
427C2×C3×C4—22no—
428C2×C3×C4—41no—
429C2×C3×C4—42no—
430C2×C3×C4—41no—
431C2×C3×C4—42no—
432C2×C3×C4—68no—
433C2×C3×C4—64no—
434C2×C3×C4—64no—
435C2×C3×C4—62no—
436C2×C3×C4—64no—
437C2×C3×C4—62no—
438C2×C3×C4—181no—
439C2×C3×C4—184no—
440C2×C3×C4#62612yes—
441C2×C3×C4#62611yescharacteristic
442C2×C3×C4C3×D1211yescharacteristic
443C2×C3×C4C3×D1212yes—
444C2×C3×C4C3×#6711yescharacteristic
445C2×C3×C4C3×#6712yes—
446C2×C3×C4C2×D3212yes—
447C2×C3×C4C2×D3211yescharacteristic
448C2×C3×C4C22×C3×D311yescharacteristic
449C2×C3×C4C22×C3×D312yes—
450C2×C3×C4C22×C3×D311yescharacteristic
451C2×C3×C4C22×C3×D312yes—
452#67—68no—
453#67—64no—
454#67—64no—
455C2×Dic3—22no—
456C2×Dic3—24no—
457C2×Dic3—62no—
458C2×Dic3—61no—
459C2×Dic3—61no—
460D12—32no—
461D12—32no—
462D12—62no—
463D12—62no—
464D12—61no—
465D12—61no—
466C4×D3—68no—
467C4×D3—64no—
468C4×D3—64no—
469Dic6—22no—
470Dic6—24no—
471Dic6—32no—
472Dic6—32no—
473Dic6—62no—
474Dic6—62no—
475Dic6—61no—
476Dic6—61no—
477Dic6C22×C3×D314yes—
478C3×C8—34no—
479C3×C8—34no—
480C3×C8—64no—
481C3⋊C8C22×C3×D314yes—
482C2×C32—22no—
483C2×C32—24no—
484C2×C32—22no—
485C2×C32—22no—
486C2×C32—22no—
487C2×C32—22no—
488C2×C32—21no—
489C2×C32—21no—
490C2×C32—22no—
491C2×C32—21no—
492C2×C32—42no—
493C2×C32—41no—
494C2×C32—42no—
495C2×C32—42no—
496C2×C32—44no—
497C2×C32#90912yescomplemented
498C2×C32#94212yescomplemented
499C2×C32C3×#13712yescomplemented
500C2×C32C22×D1211yescharacteristic
501C2×C32C22×#6711yescharacteristic
502C2×C32C22×C3×D411yescharacteristic
503C3⋊D3—42no—
504C3×D3—124no—
505C3×D3—122no—
506C3×D3—122no—
507#41—94no—
508#41—182no—
509C2×Q8—32no—
510C2×Q8—34no—
511C2×Q8—61no—
512C2×Q8—62no—
513C2×Q8—91no—
514C2×D4—91no—
515C2×D4—181no—
516C22×C4—61no—
517C22×C4—181no—
518C22×C4C3×D3211yescharacteristic
519Q16—98no—
520SD16—98no—
521M16—34no—
522C2×C8—32no—
523C22×C3—24no—
524C22×C3—22no—
525C22×C3—22no—
526C22×C3—22no—
527C22×C3—21no—
528C22×C3—22no—
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—182no—
539C22×C3—362no—
540C22×C3C2×#62612yes—
541C22×C3C2×#62611yescharacteristic
542C22×C3C2×C3×D1212yes—
543C22×C3C2×C3×D1211yescharacteristic
544C22×C3C2×C3×#6712yes—
545C22×C3C2×C3×#6711yescharacteristic
546C2×D3—64no—
547C2×D3—62no—
548C2×D3—62no—
549C2×D3—124no—
550C2×D3—122no—
551C2×D3—122no—
552C3×C4—21no—
553C3×C4—21no—
554C3×C4—21no—
555C3×C4—21no—
556C3×C4—22no—
557C3×C4—22no—
558C3×C4—21no—
559C3×C4—22no—
560C3×C4—21no—
561C3×C4—41no—
562C3×C4—42no—
563C3×C4—41no—
564C3×C4—68no—
565C3×C4—64no—
566C3×C4—64no—
567C3×C4—182no—
568C3×C4C2×#62612yes—
569C3×C4C2×#62611yescharacteristic
570C3×C4C2×C3×D1211yescharacteristic
571C3×C4C2×C3×D1212yes—
572C3×C4C2×C3×#6711yescharacteristic
573C3×C4C2×C3×#6712yes—
574C3×C4C22×D3211yescharacteristic
575C3×C4C23×C3×D311yescharacteristic
576C3×C4C23×C3×D311yescharacteristic
577Dic3—24no—
578Dic3—64no—
579Dic3—62no—
580Dic3—62no—
581C32—21no—
582C32—21no—
583C32—21no—
584C32—41no—
585C32C2×#90911yescharacteristic, complemented
586C32C2×#94211yescharacteristic, complemented
587C32C2×C3×#13711yescharacteristic, complemented
588C23—181no—
589C23C3×#62611yescharacteristic
590Q8—34no—
591Q8—64no—
592Q8—62no—
593Q8—92no—
594Q8—181no—
595D4—92no—
596D4—184no—
597D4—181no—
598C2×C4—64no—
599C2×C4—62no—
600C2×C4—181no—
601C2×C4—184no—
602C2×C4C3×#62611yescharacteristic
603C2×C4C3×#62612yes—
604C2×C4C2×C3×D3211yescharacteristic
605C2×C4C2×C3×D3212yes—
606C8—34no—
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—362no—
623C2×C3#6383312yesdirect product factor
624C2×C3C3×#90912yescomplemented
625C2×C3C3×#94212yescomplemented
626C2×C3C22×#62611yescharacteristic
627C2×C3C22×C3×D1211yescharacteristic
628C2×C3C22×C3×#6711yescharacteristic
629D3—124no—
630D3—122no—
631D3—122no—
632C22—22no—
633C22—182no—
634C22—362no—
635C22C2×C3×#62612yes—
636C22C2×C3×#62611yescharacteristic
637C4—64no—
638C4—182no—
639C4C2×C3×#62612yes—
640C4C2×C3×#62611yescharacteristic
641C4C22×C3×D3211yescharacteristic
642C3—21no—
643C3—21no—
644C3—21no—
645C3—41no—
646C3C2×#6383311yescharacteristic, direct product factor
647C3C2×C3×#90911yescharacteristic, complemented
648C3C2×C3×#94211yescharacteristic, complemented
649C2—22no—
650C2—362no—
651C2C3×#6383312yesdirect product factor
652C2C22×C3×#62611yescharacteristic
subgroupG/H
centerC22×C3C2×#626
commutator, cosocleC32×C4C24×C3
FrattiniC4C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C2×D4
prime radicalC2×C3×#3828C2
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×C32×#208C2semidirect
4. C2×C3×#3719C2semidirect
5. C3×#63833C2direct (N × H)
6. C2×C3×#3717C2semidirect
9. C2×#63833C3direct (N × H)
21. C2×C32×Dic6C22semidirect
22. C32×#208C22semidirect
24. C3×#3719C22semidirect
25. C3×#3717C22semidirect
32. C22×C3×Dic6D3semidirect
33. C22×C3×Dic6C2×C3semidirect
39. C2×C3×#208D3semidirect
40. C2×C3×#208C2×C3semidirect
44. C2×#3719C2×C3semidirect
45. #63833C2×C3direct (N × H)
46. C2×#3717C2×C3semidirect
117. C2×C3×Dic6C2×D3semidirect
119. C2×C3×Dic6C22×C3semidirect
125. C3×#208C2×D3semidirect
126. C3×#208C22×C3semidirect
132. #3719C22×C3semidirect
133. #3717C22×C3semidirect
151. C22×Dic6C3×D3semidirect
161. C2×#208C3×D3semidirect
258. C2×C33#137semidirect
311. C2×Dic6C2×C3×D3semidirect
322. #208C2×C3×D3semidirect
390. C33C2×#137semidirect
497. C2×C32#909semidirect
498. C2×C32#942semidirect
499. C2×C32C3×#137semidirect
585. C32C2×#909semidirect
586. C32C2×#942semidirect
587. C32C2×C3×#137semidirect
623. C2×C3#63833direct (N × H)
624. C2×C3C3×#909semidirect
625. C2×C3C3×#942semidirect
646. C3C2×#63833direct (N × H)
647. C3C2×C3×#909semidirect
648. C3C2×C3×#942semidirect
651. C2C3×#63833direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#38282
C22×C32×Dic62
C2×C32×#2082
C2×C3×#37192
C3×#638332
C2×C3×#37172
C2×C3×#9423
C2×C3×#9093
C2×#638333