Finite Group Databasebeta

← C2×C3×#5170 #11863596

Subgroups — C2×C3×#5170 #11863596

Order 1152.

1733 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×D3×Q8C211yesmaximal, characteristic, complemented
2C22×C32×SD16C211yesmaximal, characteristic, complemented
3C2×C3×#938C211yesmaximal, characteristic
4C22×C3×#214C211yesmaximal, characteristic, complemented
5C2×C3×#835C211yesmaximal, characteristic, complemented
6C3×#5170C218yesmaximal, direct product factor
7C2×C3×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
8C2×C3×#816C211yesmaximal, characteristic, complemented
9C2×C3×#448—31nomaximal
10C2×#5170C311yesmaximal, characteristic, direct product factor
11C22×C32×Q8C2211yescharacteristic
12C22×C32×D4C2211yescharacteristic
13C22×C3×#67—21no—
14C2×C3×D3×Q8—24no—
15C2×C3×D3×Q8—22no—
16C2×C3×D3×Q8—24no—
17C2×C3×D3×Q8C2214yescomplemented
18C22×C3×C4×D3—21no—
19C22×C3×C4×D3C2211yescharacteristic
20C22×C3×Dic6—21no—
21C22×C3×Dic6C2211yescharacteristic
22C2×C32×SD16—24no—
23C2×C32×SD16C2214yescomplemented
24C22×C32×C8C2211yescharacteristic
25C2×C3×#217—21no—
26C3×#938—22no—
27C3×#938C2214yes—
28C2×C3×#214—24no—
29C2×C3×#214C2214yescomplemented
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C22×C3×C3⋊C8C2211yescharacteristic
32C3×#835C2214yescomplemented
33C3×(C2×D3)⋊C8C2214yescomplemented
34C3×#816C2214yescomplemented
35C23×C3×Q8—31no—
36C22×D3×Q8C2×C311yescharacteristic, complemented
37C22×C3×SD16—21no—
38C22×C3×SD16—31no—
39C22×C3×SD16D311yescharacteristic, complemented
40C22×C3×SD16C2×C311yescharacteristic, complemented
41C2×C3×#121—31no—
42C2×#938C2×C311yescharacteristic
43C22×#214C2×C311yescharacteristic, complemented
44C3×#448—38no—
45C2×C3×#103—31no—
46C2×C3×#103—31no—
47C2×C3×C22⋊C8—31no—
48C2×#835C2×C311yescharacteristic, complemented
49#5170C2×C318yesdirect product factor
50C2×(C2×D3)⋊C8C2×C311yescharacteristic, complemented
51C2×#816C2×C311yescharacteristic, complemented
52C24×C32—21no—
53C23×C3×D3D411yescharacteristic
54C2×C32×Q8—22no—
55C2×C32×Q8—21no—
56C2×C32×Q8D414yescomplemented
57C2×C32×Q8C2312yes—
58C2×C32×D4—22no—
59C2×C32×D4—22no—
60C2×C32×D4—21no—
61C2×C32×D4C2312yes—
62C22×C32×C4—21no—
63C22×C32×C4C2311yescharacteristic
64C2×C3×#67—24no—
65C2×C3×#67—44no—
66C22×C3×Dic3—21no—
67C22×C3×Dic3—21no—
68C22×C3×Dic3D411yescharacteristic
69C3×D3×Q8—216no—
70C3×D3×Q8—28no—
71C3×D3×Q8—28no—
72C2×C3×C4×D3—28no—
73C2×C3×C4×D3—24no—
74C2×C3×C4×D3—22no—
75C2×C3×C4×D3—22no—
76C2×C3×C4×D3D412yes—
77C2×C3×C4×D3C2312yes—
78C2×C3×Dic6—28no—
79C2×C3×Dic6—21no—
80C2×C3×Dic6—22no—
81C2×C3×Dic6—24no—
82C2×C3×Dic6D414yescomplemented
83C2×C3×Dic6C2312yes—
84C32×SD16—28no—
85C2×C32×C8—22no—
86C2×C32×C8C2312yes—
87C3×#217—24no—
88C3×#214—28no—
89C3×C4⋊Dic3—21no—
90C3×C4⋊Dic3C2312yes—
91C2×C3×C3⋊C8—22no—
92C2×C3×C3⋊C8C2312yes—
93C2×#448—31noSylow
94C22×C3×Q8—21no—
95C22×C3×Q8—34no—
96C22×C3×Q8—31no—
97C22×C3×Q8—61no—
98C22×C3×Q8—62no—
99C22×C3×Q8—64no—
100C22×C3×Q8—64no—
101C22×C3×Q8C2×D311yescharacteristic
102C22×C3×Q8C22×C311yescharacteristic
103C22×C3×D4—21no—
104C22×C3×D4—61no—
105C22×C3×D4C2×D311yescharacteristic
106C22×C3×D4C22×C311yescharacteristic
107C23×C3×C4—31no—
108C23×C3×C4—61no—
109C22×#67—21no—
110C2×D3×Q8—24no—
111C2×D3×Q8—22no—
112C2×D3×Q8—24no—
113C2×D3×Q8C22×C314yescomplemented
114C22×C4×D3—21no—
115C22×C4×D3C22×C311yescharacteristic
116C22×Dic6—21no—
117C22×Dic6C22×C311yescharacteristic
118C2×C3×SD16—28no—
119C2×C3×SD16—24no—
120C2×C3×SD16—24no—
121C2×C3×SD16—24no—
122C2×C3×SD16—34no—
123C2×C3×SD16—64no—
124C2×C3×SD16C2×D314yescomplemented
125C2×C3×SD16C22×C314yescomplemented
126C22×C3×C8—21no—
127C22×C3×C8—31no—
128C22×C3×C8C2×D311yescharacteristic
129C22×C3×C8C22×C311yescharacteristic
130C3×#121—34no—
131C3×#121—62no—
132C2×C3×C4⋊C4—31no—
133C2×C3×C22⋊C4—61no—
134C2×#217—21no—
135#938—22no—
136#938C22×C314yes—
137C2×#214—24no—
138C2×#214C22×C314yescomplemented
139C2×C4⋊Dic3C22×C311yescharacteristic
140C22×C3⋊C8C22×C311yescharacteristic
141C3×#103—34no—
142C3×#103—34no—
143C3×C22⋊C8—34no—
144#835C22×C314yescomplemented
145(C2×D3)⋊C8C22×C314yescomplemented
146#816C22×C314yescomplemented
147C23×C32—22no—
148C23×C32—42no—
149C23×C32—42no—
150C23×C32—42no—
151C23×C32C2×D411yescharacteristic
152C22×C3×D3—22no—
153C22×C3×D3—22no—
154C22×C3×D3SD1614yescomplemented
155C22×C3×D3C2×D412yes—
156C32×Q8—24no—
157C32×Q8—22no—
158C32×Q8C2×D414yescomplemented
159C32×D4—22no—
160C32×D4—22no—
161C32×D4—42no—
162C2×C32×C4—24no—
163C2×C32×C4—22no—
164C2×C32×C4C2×D411yescharacteristic
165C2×C32×C4C2×D412yes—
166C2×C32×C4C2×D412yes—
167C2×C32×C4C2411yescharacteristic
168C3×#67—48no—
169C2×C3×Dic3—22no—
170C2×C3×Dic3—24no—
171C2×C3×Dic3—22no—
172C2×C3×Dic3—22no—
173C2×C3×Dic3—42no—
174C2×C3×Dic3C2×D412yes—
175C3×C4×D3—216no—
176C3×C4×D3—24no—
177C3×C4×D3—22no—
178C3×C4×D3—22no—
179C3×Dic6—216no—
180C3×Dic6—24no—
181C3×Dic6—22no—
182C3×Dic6C2×D414yescomplemented
183C32×C8—22no—
184C3×C3⋊C8—22no—
185C23×Q8—31no—
186C22×SD16—31no—
187C22×SD16C3×D311yescharacteristic, complemented
188C2×#121—31no—
189#448—38no—
190C2×#103—31no—
191C2×#103—31no—
192C2×C22⋊C8—31no—
193C24×C3—21no—
194C24×C3—21no—
195C24×C3—31no—
196C24×C3—41no—
197C23×D3C3×D411yescharacteristic
198C2×C3×Q8—22no—
199C2×C3×Q8—21no—
200C2×C3×Q8—22no—
201C2×C3×Q8—21no—
202C2×C3×Q8—24no—
203C2×C3×Q8—22no—
204C2×C3×Q8—34no—
205C2×C3×Q8—32no—
206C2×C3×Q8—42no—
207C2×C3×Q8—41no—
208C2×C3×Q8—64no—
209C2×C3×Q8—68no—
210C2×C3×Q8—68no—
211C2×C3×Q8—616no—
212C2×C3×Q8—68no—
213C2×C3×Q8—61no—
214C2×C3×Q8—62no—
215C2×C3×Q8#6714yescomplemented
216C2×C3×Q8C3×D414yescomplemented
217C2×C3×Q8C22×D312yes—
218C2×C3×Q8C23×C312yes—
219C2×C3×D4—24no—
220C2×C3×D4—22no—
221C2×C3×D4—21no—
222C2×C3×D4—22no—
223C2×C3×D4—22no—
224C2×C3×D4—22no—
225C2×C3×D4—21no—
226C2×C3×D4—22no—
227C2×C3×D4—42no—
228C2×C3×D4—41no—
229C2×C3×D4—64no—
230C2×C3×D4—124no—
231C2×C3×D4C22×D312yes—
232C2×C3×D4C23×C312yes—
233C22×C3×C4—21no—
234C22×C3×C4—21no—
235C22×C3×C4—21no—
236C22×C3×C4—31no—
237C22×C3×C4—32no—
238C22×C3×C4—32no—
239C22×C3×C4—41no—
240C22×C3×C4—64no—
241C22×C3×C4—68no—
242C22×C3×C4—61no—
243C22×C3×C4—62no—
244C22×C3×C4—62no—
245C22×C3×C4—61no—
246C22×C3×C4C22×D311yescharacteristic
247C22×C3×C4C23×C311yescharacteristic
248C2×#67—24no—
249C2×#67—44no—
250C22×Dic3—21no—
251C22×Dic3—21no—
252C22×Dic3C3×D411yescharacteristic
253D3×Q8—216no—
254D3×Q8—28no—
255D3×Q8—28no—
256C2×C4×D3—28no—
257C2×C4×D3—24no—
258C2×C4×D3—22no—
259C2×C4×D3—22no—
260C2×C4×D3C3×D412yes—
261C2×C4×D3C23×C312yes—
262C2×Dic6—28no—
263C2×Dic6—21no—
264C2×Dic6—22no—
265C2×Dic6—24no—
266C2×Dic6C3×D414yescomplemented
267C2×Dic6C23×C312yes—
268C3×SD16—216no—
269C3×SD16—28no—
270C3×SD16—28no—
271C3×SD16—68no—
272C2×C3×C8—24no—
273C2×C3×C8—22no—
274C2×C3×C8—22no—
275C2×C3×C8—22no—
276C2×C3×C8—32no—
277C2×C3×C8—62no—
278C2×C3×C8C22×D312yes—
279C2×C3×C8C23×C312yes—
280C3×C4⋊C4—32no—
281C3×C4⋊C4—61no—
282C3×C22⋊C4—64no—
283#217—24no—
284#214—28no—
285C4⋊Dic3—21no—
286C4⋊Dic3C23×C312yes—
287C2×C3⋊C8—22no—
288C2×C3⋊C8C23×C312yes—
289C22×C32—42no—
290C22×C32—42no—
291C22×C32—42no—
292C22×C32—84no—
293C22×C32#12012yes—
294C22×C32C2×SD1612yes—
295C22×C32#13712yes—
296C22×C32C22×D411yescharacteristic
297C2×C3×D3—22no—
298C2×C3×D3—22no—
299C2×C3×D3—28no—
300C2×C3×D3C2×SD1614yescomplemented
301C32×C4—24no—
302C32×C4#12012yes—
303C32×C4C22×D411yescharacteristic
304C32×C4C22×D411yescharacteristic
305C3×Dic3—22no—
306C3×Dic3—24no—
307C3×Dic3—42no—
308C22×Q8—34no—
309C22×Q8—31no—
310C22×Q8—61no—
311C22×Q8—62no—
312C22×Q8—64no—
313C22×Q8—64no—
314C22×Q8C2×C3×D311yescharacteristic
315C22×D4—61no—
316C22×D4C2×C3×D311yescharacteristic
317C23×C4—31no—
318C23×C4—61no—
319C2×SD16—24no—
320C2×SD16—34no—
321C2×SD16—64no—
322C2×SD16C2×C3×D314yescomplemented
323C22×C8—31no—
324C22×C8C2×C3×D311yescharacteristic
325#121—34no—
326#121—62no—
327C2×C4⋊C4—31no—
328C2×C22⋊C4—61no—
329#103—34no—
330#103—34no—
331C22⋊C8—34no—
332C23×C3—22no—
333C23×C3—22no—
334C23×C3—21no—
335C23×C3—34no—
336C23×C3—32no—
337C23×C3—42no—
338C23×C3—44no—
339C23×C3—42no—
340C23×C3—42no—
341C23×C3—42no—
342C23×C3—42no—
343C23×C3—42no—
344C23×C3—42no—
345C23×C3—62no—
346C23×C3—62no—
347C23×C3—82no—
348C23×C3—82no—
349C23×C3D3×D411yescharacteristic
350C23×C3C2×C3×D411yescharacteristic
351C22×D3—22no—
352C22×D3—22no—
353C22×D3C3×SD1614yescomplemented
354C22×D3C2×C3×D412yes—
355C3×Q8—24no—
356C3×Q8—24no—
357C3×Q8—22no—
358C3×Q8—22no—
359C3×Q8—24no—
360C3×Q8—34no—
361C3×Q8—44no—
362C3×Q8—42no—
363C3×Q8—616no—
364C3×Q8—64no—
365C3×Q8—62no—
366C3×Q8C2×#6714yescomplemented
367C3×Q8C2×C3×D414yescomplemented
368C3×D4—24no—
369C3×D4—22no—
370C3×D4—22no—
371C3×D4—22no—
372C3×D4—22no—
373C3×D4—42no—
374C3×D4—44no—
375C3×D4—42no—
376C3×D4—42no—
377C3×D4—128no—
378C2×C3×C4—24no—
379C2×C3×C4—24no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—32no—
387C2×C3×C4—44no—
388C2×C3×C4—42no—
389C2×C3×C4—616no—
390C2×C3×C4—62no—
391C2×C3×C4—64no—
392C2×C3×C4—62no—
393C2×C3×C4—64no—
394C2×C3×C4—62no—
395C2×C3×C4—62no—
396C2×C3×C4—62no—
397C2×C3×C4—122no—
398C2×C3×C4D3×D411yescharacteristic
399C2×C3×C4D3×D412yes—
400C2×C3×C4C2×#6712yes—
401C2×C3×C4C2×C3×D411yescharacteristic
402C2×C3×C4C2×C3×D412yes—
403C2×C3×C4C2×C3×D412yes—
404C2×C3×C4C23×D311yescharacteristic
405C2×C3×C4C24×C311yescharacteristic
406#67—48no—
407C2×Dic3—22no—
408C2×Dic3—24no—
409C2×Dic3—22no—
410C2×Dic3—22no—
411C2×Dic3—42no—
412C2×Dic3C2×C3×D412yes—
413C4×D3—216no—
414C4×D3—24no—
415C4×D3—22no—
416C4×D3—22no—
417Dic6—216no—
418Dic6—24no—
419Dic6—22no—
420Dic6C2×C3×D414yescomplemented
421C3×C8—24no—
422C3×C8—22no—
423C3×C8—22no—
424C3×C8—62no—
425C3⋊C8—22no—
426C2×C32—82no—
427C2×C32#44814yescomplemented
428C2×C32C2×#12011yescharacteristic
429C2×C32C22×SD1611yescharacteristic
430C2×C32C2×#13711yescharacteristic
431C3×D3—24no—
432C24—21no—
433C24—31no—
434C2×Q8—22no—
435C2×Q8—21no—
436C2×Q8—32no—
437C2×Q8—34no—
438C2×Q8—64no—
439C2×Q8—68no—
440C2×Q8—68no—
441C2×Q8—616no—
442C2×Q8—68no—
443C2×Q8—61no—
444C2×Q8—62no—
445C2×Q8C3×#6714yescomplemented
446C2×Q8C22×C3×D312yes—
447C2×D4—22no—
448C2×D4—21no—
449C2×D4—22no—
450C2×D4—64no—
451C2×D4—124no—
452C2×D4C22×C3×D312yes—
453C22×C4—21no—
454C22×C4—31no—
455C22×C4—32no—
456C22×C4—32no—
457C22×C4—64no—
458C22×C4—68no—
459C22×C4—61no—
460C22×C4—62no—
461C22×C4—62no—
462C22×C4—61no—
463C22×C4C22×C3×D311yescharacteristic
464SD16—28no—
465SD16—68no—
466C2×C8—22no—
467C2×C8—32no—
468C2×C8—62no—
469C2×C8C22×C3×D312yes—
470C4⋊C4—32no—
471C4⋊C4—61no—
472C22⋊C4—64no—
473C22×C3—22no—
474C22×C3—22no—
475C22×C3—22no—
476C22×C3—21no—
477C22×C3—34no—
478C22×C3—44no—
479C22×C3—42no—
480C22×C3—42no—
481C22×C3—42no—
482C22×C3—42no—
483C22×C3—42no—
484C22×C3—42no—
485C22×C3—68no—
486C22×C3—62no—
487C22×C3—62no—
488C22×C3—82no—
489C22×C3—82no—
490C22×C3—88no—
491C22×C3—84no—
492C22×C3—84no—
493C22×C3D3×SD1612yes—
494C22×C3#91512yes—
495C22×C3#93712yes—
496C22×C3C3×#12012yes—
497C22×C3C2×C3×SD1612yes—
498C22×C3C3×#13712yes—
499C22×C3C2×D3×D411yescharacteristic
500C22×C3C22×C3×D411yescharacteristic
501C2×D3—22no—
502C2×D3—28no—
503C2×D3—22no—
504C2×D3C2×C3×SD1614yescomplemented
505C3×C4—24no—
506C3×C4—24no—
507C3×C4—22no—
508C3×C4—21no—
509C3×C4—21no—
510C3×C4—44no—
511C3×C4—62no—
512C3×C4—64no—
513C3×C4—122no—
514C3×C4#93712yes—
515C3×C4C3×#12012yes—
516C3×C4C2×D3×D411yescharacteristic
517C3×C4C22×#6711yescharacteristic
518C3×C4C22×C3×D411yescharacteristic
519C3×C4C22×C3×D411yescharacteristic
520Dic3—22no—
521Dic3—24no—
522Dic3—42no—
523C32C2×#44811yescharacteristic, complemented, Sylow
524C23—22no—
525C23—34no—
526C23—32no—
527C23—42no—
528C23—42no—
529C23—42no—
530C23—62no—
531C23—62no—
532C23C3×D3×D411yescharacteristic
533Q8—24no—
534Q8—22no—
535Q8—34no—
536Q8—616no—
537Q8—64no—
538Q8—62no—
539Q8C2×C3×#6714yescomplemented
540D4—22no—
541D4—22no—
542D4—42no—
543D4—128no—
544C2×C4—24no—
545C2×C4—22no—
546C2×C4—32no—
547C2×C4—616no—
548C2×C4—62no—
549C2×C4—64no—
550C2×C4—62no—
551C2×C4—64no—
552C2×C4—62no—
553C2×C4—62no—
554C2×C4—62no—
555C2×C4—122no—
556C2×C4C3×D3×D411yescharacteristic
557C2×C4C3×D3×D412yes—
558C2×C4C2×C3×#6712yes—
559C2×C4C23×C3×D311yescharacteristic
560C8—22no—
561C8—62no—
562C2×C3—24no—
563C2×C3—21no—
564C2×C3—21no—
565C2×C3—21no—
566C2×C3—64no—
567C2×C3—84no—
568C2×C3—82no—
569C2×C3—82no—
570C2×C3#517014yesdirect product factor
571C2×C3C3×#44814yescomplemented
572C2×C3C2×D3×SD1611yescharacteristic
573C2×C3C2×#91511yescharacteristic
574C2×C3C2×#93711yescharacteristic
575C2×C3C2×C3×#12011yescharacteristic
576C2×C3C22×C3×SD1611yescharacteristic
577C2×C3C2×C3×#13711yescharacteristic
578D3—24no—
579C22—34no—
580C22—42no—
581C22—42no—
582C22—42no—
583C22—68no—
584C22—62no—
585C22—62no—
586C22—84no—
587C22C3×D3×SD1612yes—
588C22C3×#91512yes—
589C22C3×#93712yes—
590C22C2×C3×D3×D411yescharacteristic
591C4—24no—
592C4—62no—
593C4—64no—
594C4—122no—
595C4C3×#93712yes—
596C4C2×C3×D3×D411yescharacteristic
597C4C22×C3×#6711yescharacteristic
598C3—21no—
599C3C2×#517011yescharacteristic, direct product factor
600C3C2×C3×#44811yescharacteristic, complemented
601C2—64no—
602C2—82no—
603C2C3×#517014yesdirect product factor
604C2C2×C3×D3×SD1611yescharacteristic
605C2C2×C3×#91511yescharacteristic
606C2C2×C3×#93711yescharacteristic
subgroupG/H
centerC23×C3D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC22×C32×SD16C2
socleC23×C32C2×D4
prime radicalC2×C3×#938C2
hypercenterC22×C3×SD16D3
hypocenterC3C2×C3×#448
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C22×C3×C4 ◁ C22×C3×SD16

Complements

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

NH ≅ G/Ntype
1. C22×C3×D3×Q8C2semidirect
2. C22×C32×SD16C2semidirect
4. C22×C3×#214C2semidirect
5. C2×C3×#835C2semidirect
6. C3×#5170C2direct (N × H)
7. C2×C3×(C2×D3)⋊C8C2semidirect
8. C2×C3×#816C2semidirect
10. C2×#5170C3direct (N × H)
17. C2×C3×D3×Q8C22semidirect
23. C2×C32×SD16C22semidirect
29. C2×C3×#214C22semidirect
32. C3×#835C22semidirect
33. C3×(C2×D3)⋊C8C22semidirect
34. C3×#816C22semidirect
36. C22×D3×Q8C2×C3semidirect
39. C22×C3×SD16D3semidirect
40. C22×C3×SD16C2×C3semidirect
43. C22×#214C2×C3semidirect
48. C2×#835C2×C3semidirect
49. #5170C2×C3direct (N × H)
50. C2×(C2×D3)⋊C8C2×C3semidirect
51. C2×#816C2×C3semidirect
56. C2×C32×Q8D4semidirect
82. C2×C3×Dic6D4semidirect
113. C2×D3×Q8C22×C3semidirect
124. C2×C3×SD16C2×D3semidirect
125. C2×C3×SD16C22×C3semidirect
138. C2×#214C22×C3semidirect
144. #835C22×C3semidirect
145. (C2×D3)⋊C8C22×C3semidirect
146. #816C22×C3semidirect
154. C22×C3×D3SD16semidirect
158. C32×Q8C2×D4semidirect
182. C3×Dic6C2×D4semidirect
187. C22×SD16C3×D3semidirect
215. C2×C3×Q8#67semidirect
216. C2×C3×Q8C3×D4semidirect
266. C2×Dic6C3×D4semidirect
300. C2×C3×D3C2×SD16semidirect
322. C2×SD16C2×C3×D3semidirect
353. C22×D3C3×SD16semidirect
366. C3×Q8C2×#67semidirect
367. C3×Q8C2×C3×D4semidirect
420. Dic6C2×C3×D4semidirect
427. C2×C32#448semidirect
445. C2×Q8C3×#67semidirect
504. C2×D3C2×C3×SD16semidirect
523. C32C2×#448semidirect
539. Q8C2×C3×#67semidirect
570. C2×C3#5170direct (N × H)
571. C2×C3C3×#448semidirect
599. C3C2×#5170direct (N × H)
600. C3C2×C3×#448semidirect
603. C2C3×#5170direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×D3×Q82
C22×C32×SD162
C2×C3×#9382
C22×C3×#2142
C2×C3×#8352
C3×#51702
C2×C3×(C2×D3)⋊C82
C2×C3×#8162
C2×C3×#4483
C2×#51703