Finite Group Databasebeta

← C3×#83833 #11864245

Subgroups — C3×#83833 #11864245

Order 1152.

1737 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1004C211yesmaximal, characteristic, complemented
2C22×C32×D8C211yesmaximal, characteristic, complemented
3C3×#5805C211yesmaximal, characteristic, complemented
4C2×C3×#932C211yesmaximal, characteristic, complemented
5C3×#5215C211yesmaximal, characteristic, complemented
6C3×#5158C214yesmaximal, complemented
7C3×#5156C214yesmaximal, complemented
8C3×#5113C211yesmaximal, characteristic, complemented
9C3×#5110C211yesmaximal, characteristic, complemented
10C3×#3008—31nomaximal
11#83833C311yesmaximal, characteristic, direct product factor
12C22×C32×D4C2211yescharacteristic
13C22×C32×D4C2211yescharacteristic, complemented
14C22×C3×#67—22no—
15C3×#1004—24no—
16C3×#1004—24no—
17C2×C3×#237—21no—
18C2×C3×#237C2212yescomplemented
19C2×C3×D3×D4—21no—
20C2×C3×D3×D4C2212yescomplemented
21C2×C3×#235C2211yescharacteristic
22C2×C3×#235C2211yescharacteristic
23C2×C32×D8—24no—
24C2×C32×D8C2214yescomplemented
25C22×C32×C8C2211yescharacteristic, complemented
26C3×#953—22no—
27C3×#940—21no—
28C3×#938C2214yescomplemented
29C3×#936—21no—
30C2×C3×#214C2212yescomplemented
31C3×#932—24no—
32C2×C3×#213C2212yescomplemented
33C3×#926C2211yescharacteristic, complemented
34C2×C3×#208C2211yescharacteristic, complemented
35C3×#832C2214yescomplemented
36C3×#821C2212yescomplemented
37C3×(C2×D3)⋊C8C2214yescomplemented
38C3×#816C2212yescomplemented
39C2×C3×H(5,𝔽2)—31no—
40C2×#1004C2×C311yescharacteristic, complemented
41C2×C3×AGL(1,ℤ/8)—31no—
42C22×C3×D8—21no—
43C22×C3×D8D311yescharacteristic, complemented
44C22×C3×D8C2×C311yescharacteristic, complemented
45C3×#535—31no—
46#5805C2×C311yescharacteristic, complemented
47C2×#932C2×C311yescharacteristic, complemented
48C3×#449—34no—
49C3×#447—34no—
50C3×#418—31no—
51C3×#416—31no—
52C3×#408—31no—
53#5215C2×C311yescharacteristic, complemented
54#5158C2×C314yescomplemented
55#5156C2×C314yescomplemented
56#5113C2×C311yescharacteristic, complemented
57#5110C2×C311yescharacteristic, complemented
58C24×C32—21no—
59C24×C32—21no—
60C23×C3×D3—22no—
61C2×C32×D4—21no—
62C2×C32×D4—22no—
63C2×C32×D4—22no—
64C2×C32×D4—22no—
65C2×C32×D4—21no—
66C2×C32×D4D414yescomplemented
67C2×C32×D4C2312yes—
68C2×C32×D4C2312yes—
69C22×C32×C4C2311yescharacteristic
70C2×C3×#67—216no—
71C2×C3×#67—21no—
72C2×C3×#67—22no—
73C2×C3×#67—24no—
74C2×C3×#67—22no—
75C2×C3×#67D412yes—
76C22×C3×Dic3—22no—
77C3×#237—28no—
78C3×#237—24no—
79C3×#237—24no—
80C3×D3×D4—28no—
81C3×D3×D4—24no—
82C3×D3×D4—24no—
83C3×#235—22no—
84C3×#235—22no—
85C3×#235—22no—
86C3×#235D414yescomplemented
87C2×C3×D12D411yescharacteristic
88C2×C3×D12C2311yescharacteristic
89C2×C3×C4×D3—21no—
90C2×C3×C4×D3C2312yes—
91C2×C3×Dic6D411yescharacteristic
92C2×C3×Dic6C2311yescharacteristic
93C32×D8—28no—
94C2×C32×C8—22no—
95C2×C32×C8C2312yes—
96C3×#217—21no—
97C3×#217—24no—
98C3×#214—24no—
99C3×#213—24no—
100C3×C4⋊Dic3C2312yes—
101C3×C4×Dic3—21no—
102C3×#208—22no—
103C2×C3×C3⋊C8C2312yes—
104#3008—31noSylow
105C3×H(5,𝔽2)—64no—
106C3×H(5,𝔽2)—64no—
107C2×C3×#41—31no—
108C2×C3×#41—32no—
109C2×C3×#41—31no—
110C2×C3×#41—61no—
111C22×C3×D4—21no—
112C22×C3×D4—21no—
113C22×C3×D4—32no—
114C22×C3×D4—61no—
115C22×C3×D4—62no—
116C22×C3×D4C2×D311yescharacteristic
117C22×C3×D4C2×D311yescharacteristic, complemented
118C22×C3×D4C22×C311yescharacteristic
119C22×C3×D4C22×C311yescharacteristic, complemented
120C22×#67—22no—
121#1004—24no—
122#1004—24no—
123C2×#237—21no—
124C2×#237C22×C312yescomplemented
125C2×D3×D4—21no—
126C2×D3×D4C22×C312yescomplemented
127C2×#235C22×C311yescharacteristic
128C2×#235C22×C311yescharacteristic
129C3×AGL(1,ℤ/8)—64no—
130C2×C3×SD16—32no—
131C2×C3×D8—28no—
132C2×C3×D8—24no—
133C2×C3×D8—24no—
134C2×C3×D8—24no—
135C2×C3×D8—32no—
136C2×C3×D8C2×D314yescomplemented
137C2×C3×D8C22×C314yescomplemented
138C2×C3×M16—31no—
139C22×C3×C8—21no—
140C22×C3×C8C2×D311yescharacteristic, complemented
141C22×C3×C8C22×C311yescharacteristic, complemented
142C3×#127—61no—
143C3×#124—61no—
144C3×#121—34no—
145C3×#120—62no—
146C3×#117—31no—
147#953—22no—
148#940—21no—
149#938C22×C314yescomplemented
150#936—21no—
151C2×#214C22×C312yescomplemented
152#932—24no—
153C2×#213C22×C312yescomplemented
154#926C22×C311yescharacteristic, complemented
155C2×#208C22×C311yescharacteristic, complemented
156C3×#103—32no—
157C3×#102—34no—
158C3×#102—32no—
159C3×C22⋊C8—34no—
160#832C22×C314yescomplemented
161#821C22×C312yescomplemented
162(C2×D3)⋊C8C22×C314yescomplemented
163#816C22×C312yescomplemented
164C23×C32—22no—
165C23×C32—24no—
166C23×C32—22no—
167C23×C32—42no—
168C23×C32—82no—
169C23×C32—82no—
170C23×C32C2×D411yescharacteristic
171C22×C3×D3—21no—
172C22×C3×D3—28no—
173C22×C3×D3—84no—
174C22×C3×D3C2×D412yes—
175C32×D4—22no—
176C32×D4—24no—
177C32×D4—22no—
178C32×D4—22no—
179C32×D4—42no—
180C32×D4C2×D414yes—
181C2×C32×C4C2×D411yescharacteristic
182C2×C32×C4C2×D412yes—
183C2×C32×C4C2×D412yes—
184C2×C32×C4C2411yescharacteristic
185C3×#67—28no—
186C3×#67—28no—
187C3×#67—24no—
188C3×#67—24no—
189C3×#67—84no—
190C2×C3×Dic3—28no—
191C2×C3×Dic3—21no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3C2×D412yes—
194C3×D12—22no—
195C3×D12—21no—
196C3×D12C2×D412yes—
197C3×C4×D3—24no—
198C3×C4×D3—22no—
199C3×C4×D3—22no—
200C3×Dic6—22no—
201C3×Dic6—21no—
202C3×Dic6C2×D412yes—
203C32×C8—22no—
204C3×C3⋊C8—22no—
205C2×H(5,𝔽2)—31no—
206C2×AGL(1,ℤ/8)—31no—
207C22×D8C3×D311yescharacteristic, complemented
208#535—31no—
209#449—34no—
210#447—34no—
211#418—31no—
212#416—31no—
213#408—31no—
214C24×C3—21no—
215C24×C3—21no—
216C24×C3—21no—
217C24×C3—21no—
218C24×C3—41no—
219C24×C3—41no—
220C24×C3—62no—
221C23×D3—22no—
222C3×#41—34no—
223C3×#41—64no—
224C3×#41—68no—
225C3×#41—64no—
226C3×#41—62no—
227C3×#41—62no—
228C3×#41—62no—
229C2×C3×Q8—31no—
230C2×C3×Q8—31no—
231C2×C3×D4—24no—
232C2×C3×D4—21no—
233C2×C3×D4—22no—
234C2×C3×D4—22no—
235C2×C3×D4—21no—
236C2×C3×D4—22no—
237C2×C3×D4—21no—
238C2×C3×D4—22no—
239C2×C3×D4—22no—
240C2×C3×D4—22no—
241C2×C3×D4—21no—
242C2×C3×D4—24no—
243C2×C3×D4—22no—
244C2×C3×D4—22no—
245C2×C3×D4—32no—
246C2×C3×D4—31no—
247C2×C3×D4—31no—
248C2×C3×D4—41no—
249C2×C3×D4—42no—
250C2×C3×D4—42no—
251C2×C3×D4—41no—
252C2×C3×D4—62no—
253C2×C3×D4—64no—
254C2×C3×D4—68no—
255C2×C3×D4—62no—
256C2×C3×D4—616no—
257C2×C3×D4—61no—
258C2×C3×D4—64no—
259C2×C3×D4—64no—
260C2×C3×D4#6714yescomplemented
261C2×C3×D4C3×D414yescomplemented
262C2×C3×D4C22×D312yes—
263C2×C3×D4C22×D312yes—
264C2×C3×D4C23×C312yes—
265C2×C3×D4C23×C312yes—
266C22×C3×C4—21no—
267C22×C3×C4—32no—
268C22×C3×C4—62no—
269C22×C3×C4—61no—
270C22×C3×C4C22×D311yescharacteristic
271C22×C3×C4C23×C311yescharacteristic
272C2×#67—216no—
273C2×#67—21no—
274C2×#67—22no—
275C2×#67—24no—
276C2×#67—22no—
277C2×#67C3×D412yes—
278C22×Dic3—22no—
279#237—28no—
280#237—24no—
281#237—24no—
282D3×D4—28no—
283D3×D4—24no—
284D3×D4—24no—
285#235—22no—
286#235—22no—
287#235—22no—
288#235C3×D414yescomplemented
289C2×D12C3×D411yescharacteristic
290C2×D12C23×C311yescharacteristic
291C2×C4×D3—21no—
292C2×C4×D3C23×C312yes—
293C2×Dic6C3×D411yescharacteristic
294C2×Dic6C23×C311yescharacteristic
295C3×SD16—64no—
296C3×D8—216no—
297C3×D8—28no—
298C3×D8—28no—
299C3×D8—64no—
300C3×M16—62no—
301C2×C3×C8—24no—
302C2×C3×C8—22no—
303C2×C3×C8—22no—
304C2×C3×C8—22no—
305C2×C3×C8—32no—
306C2×C3×C8C22×D312yes—
307C2×C3×C8C23×C312yes—
308C3×C4⋊C4—32no—
309C3×C22⋊C4—64no—
310C3×C22⋊C4—61no—
311C3×C42—61no—
312#217—21no—
313#217—24no—
314#214—24no—
315#213—24no—
316C4⋊Dic3C23×C312yes—
317C4×Dic3—21no—
318#208—22no—
319C2×C3⋊C8C23×C312yes—
320C22×C32—22no—
321C22×C32—24no—
322C22×C32—42no—
323C22×C32—44no—
324C22×C32—44no—
325C22×C32—84no—
326C22×C32—84no—
327C22×C32#12012yes—
328C22×C32C22×D411yescharacteristic
329C2×C3×D3—22no—
330C2×C3×D3—22no—
331C2×C3×D3—24no—
332C2×C3×D3—42no—
333C2×C3×D3—88no—
334C32×C4#12012yes—
335C32×C4C22×D411yescharacteristic
336C32×C4C22×D411yescharacteristic
337C3×Dic3—22no—
338C3×Dic3—22no—
339C3×Dic3—42no—
340H(5,𝔽2)—64no—
341H(5,𝔽2)—64no—
342C2×#41—31no—
343C2×#41—32no—
344C2×#41—31no—
345C2×#41—61no—
346C22×D4—32no—
347C22×D4—61no—
348C22×D4—62no—
349C22×D4C2×C3×D311yescharacteristic
350C22×D4C2×C3×D311yescharacteristic, complemented
351AGL(1,ℤ/8)—64no—
352C2×SD16—32no—
353C2×D8—24no—
354C2×D8—32no—
355C2×D8C2×C3×D314yescomplemented
356C2×M16—31no—
357C22×C8C2×C3×D311yescharacteristic, complemented
358#127—61no—
359#124—61no—
360#121—34no—
361#120—62no—
362#117—31no—
363#103—32no—
364#102—34no—
365#102—32no—
366C22⋊C8—34no—
367C23×C3—22no—
368C23×C3—22no—
369C23×C3—24no—
370C23×C3—24no—
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—21no—
374C23×C3—32no—
375C23×C3—42no—
376C23×C3—44no—
377C23×C3—42no—
378C23×C3—44no—
379C23×C3—42no—
380C23×C3—42no—
381C23×C3—68no—
382C23×C3—61no—
383C23×C3—82no—
384C23×C3—82no—
385C23×C3—82no—
386C23×C3—82no—
387C23×C3—84no—
388C23×C3—84no—
389C23×C3—244no—
390C23×C3D3×D411yescharacteristic
391C23×C3C2×C3×D411yescharacteristic
392C22×D3—21no—
393C22×D3—28no—
394C22×D3—84no—
395C22×D3C2×C3×D412yes—
396C3×Q8—32no—
397C3×Q8—62no—
398C3×Q8—61no—
399C3×D4—24no—
400C3×D4—24no—
401C3×D4—24no—
402C3×D4—22no—
403C3×D4—22no—
404C3×D4—22no—
405C3×D4—22no—
406C3×D4—22no—
407C3×D4—22no—
408C3×D4—24no—
409C3×D4—32no—
410C3×D4—44no—
411C3×D4—42no—
412C3×D4—42no—
413C3×D4—44no—
414C3×D4—42no—
415C3×D4—42no—
416C3×D4—68no—
417C3×D4—68no—
418C3×D4—64no—
419C3×D4—64no—
420C3×D4—62no—
421C3×D4—61no—
422C3×D4—244no—
423C3×D4C2×#6714yes—
424C3×D4C2×C3×D414yes—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—32no—
430C2×C3×C4—68no—
431C2×C3×C4—61no—
432C2×C3×C4—64no—
433C2×C3×C4—62no—
434C2×C3×C4—62no—
435C2×C3×C4—62no—
436C2×C3×C4D3×D411yescharacteristic
437C2×C3×C4D3×D412yes—
438C2×C3×C4C2×#6712yes—
439C2×C3×C4C2×C3×D411yescharacteristic
440C2×C3×C4C2×C3×D412yes—
441C2×C3×C4C2×C3×D412yes—
442C2×C3×C4C23×D311yescharacteristic
443C2×C3×C4C24×C311yescharacteristic
444#67—28no—
445#67—28no—
446#67—24no—
447#67—24no—
448#67—84no—
449C2×Dic3—28no—
450C2×Dic3—21no—
451C2×Dic3—22no—
452C2×Dic3C2×C3×D412yes—
453D12—22no—
454D12—21no—
455D12C2×C3×D412yes—
456C4×D3—24no—
457C4×D3—22no—
458C4×D3—22no—
459Dic6—22no—
460Dic6—21no—
461Dic6C2×C3×D412yes—
462C3×C8—24no—
463C3×C8—22no—
464C3×C8—22no—
465C3×C8—62no—
466C3⋊C8—22no—
467C2×C32—22no—
468C2×C32—44no—
469C2×C32—82no—
470C2×C32C2×#12011yescharacteristic
471C2×C32#57612yes—
472C3×D3—42no—
473C3×D3—42no—
474C24—21no—
475C24—21no—
476C24—62no—
477#41—34no—
478#41—64no—
479#41—68no—
480#41—64no—
481#41—62no—
482#41—62no—
483#41—62no—
484C2×Q8—31no—
485C2×Q8—31no—
486C2×D4—21no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—21no—
490C2×D4—22no—
491C2×D4—32no—
492C2×D4—31no—
493C2×D4—31no—
494C2×D4—62no—
495C2×D4—64no—
496C2×D4—68no—
497C2×D4—62no—
498C2×D4—616no—
499C2×D4—61no—
500C2×D4—64no—
501C2×D4—64no—
502C2×D4C3×#6714yescomplemented
503C2×D4C22×C3×D312yes—
504C2×D4C22×C3×D312yes—
505C22×C4—32no—
506C22×C4—62no—
507C22×C4—61no—
508C22×C4C22×C3×D311yescharacteristic
509SD16—64no—
510D8—28no—
511D8—64no—
512M16—62no—
513C2×C8—22no—
514C2×C8—32no—
515C2×C8C22×C3×D312yes—
516C4⋊C4—32no—
517C22⋊C4—64no—
518C22⋊C4—61no—
519C42—61no—
520C22×C3—24no—
521C22×C3—22no—
522C22×C3—22no—
523C22×C3—24no—
524C22×C3—24no—
525C22×C3—22no—
526C22×C3—21no—
527C22×C3—44no—
528C22×C3—44no—
529C22×C3—44no—
530C22×C3—44no—
531C22×C3—44no—
532C22×C3—44no—
533C22×C3—42no—
534C22×C3—42no—
535C22×C3—64no—
536C22×C3—62no—
537C22×C3—62no—
538C22×C3—84no—
539C22×C3—84no—
540C22×C3—84no—
541C22×C3—84no—
542C22×C3—88no—
543C22×C3—88no—
544C22×C3—84no—
545C22×C3—84no—
546C22×C3—122no—
547C22×C3—248no—
548C22×C3#93712yes—
549C22×C3C3×#12012yes—
550C22×C3C2×D3×D411yescharacteristic
551C22×C3C22×C3×D411yescharacteristic
552C2×D3—24no—
553C2×D3—22no—
554C2×D3—22no—
555C2×D3—42no—
556C2×D3—88no—
557C3×C4—22no—
558C3×C4—21no—
559C3×C4—21no—
560C3×C4—62no—
561C3×C4—62no—
562C3×C4—122no—
563C3×C4#93712yes—
564C3×C4C3×#12012yes—
565C3×C4C2×D3×D411yescharacteristic
566C3×C4C22×#6711yescharacteristic
567C3×C4C22×C3×D411yescharacteristic
568C3×C4C22×C3×D411yescharacteristic
569Dic3—22no—
570Dic3—22no—
571Dic3—42no—
572C32#300811yescharacteristic, complemented, Sylow
573C23—22no—
574C23—24no—
575C23—22no—
576C23—32no—
577C23—42no—
578C23—68no—
579C23—61no—
580C23—82no—
581C23—82no—
582C23—244no—
583C23C3×D3×D411yescharacteristic
584Q8—32no—
585Q8—62no—
586Q8—61no—
587D4—24no—
588D4—22no—
589D4—22no—
590D4—22no—
591D4—32no—
592D4—42no—
593D4—68no—
594D4—68no—
595D4—64no—
596D4—64no—
597D4—62no—
598D4—61no—
599D4—244no—
600D4C2×C3×#6714yes—
601C2×C4—32no—
602C2×C4—68no—
603C2×C4—61no—
604C2×C4—64no—
605C2×C4—62no—
606C2×C4—62no—
607C2×C4—62no—
608C2×C4C3×D3×D411yescharacteristic
609C2×C4C3×D3×D412yes—
610C2×C4C2×C3×#6712yes—
611C2×C4C23×C3×D311yescharacteristic
612C8—22no—
613C8—62no—
614C2×C3—24no—
615C2×C3—22no—
616C2×C3—22no—
617C2×C3—22no—
618C2×C3—21no—
619C2×C3—44no—
620C2×C3—44no—
621C2×C3—84no—
622C2×C3—84no—
623C2×C3—82no—
624C2×C3—82no—
625C2×C3—122no—
626C2×C3—122no—
627C2×C3#575712yes—
628C2×C3C2×#93711yescharacteristic
629C2×C3C2×C3×#12011yescharacteristic
630C2×C3C3×#57612yes—
631D3—42no—
632D3—42no—
633C22—22no—
634C22—24no—
635C22—44no—
636C22—44no—
637C22—42no—
638C22—64no—
639C22—62no—
640C22—62no—
641C22—84no—
642C22—84no—
643C22—122no—
644C22—248no—
645C22C3×#93712yes—
646C22C2×C3×D3×D411yescharacteristic
647C4—62no—
648C4—62no—
649C4—122no—
650C4C3×#93712yes—
651C4C2×C3×D3×D411yescharacteristic
652C4C22×C3×#6711yescharacteristic
653C3—21no—
654C3#8383311yescharacteristic, direct product factor
655C3C3×#300811yescharacteristic, complemented
656C2—22no—
657C2—44no—
658C2—82no—
659C2—122no—
660C2—122no—
661C2C3×#575712yes—
662C2C2×C3×#93711yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC22×C32×D8C2
socleC22×C32C22×D4
hypercenterC22×C3×D8D3
hypocenterC3C3×#3008
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C22×C3×D8

Complements

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

NH ≅ G/Ntype
1. C2×C3×#1004C2semidirect
2. C22×C32×D8C2semidirect
3. C3×#5805C2semidirect
4. C2×C3×#932C2semidirect
5. C3×#5215C2semidirect
6. C3×#5158C2semidirect
7. C3×#5156C2semidirect
8. C3×#5113C2semidirect
9. C3×#5110C2semidirect
11. #83833C3direct (N × H)
13. C22×C32×D4C22semidirect
18. C2×C3×#237C22semidirect
20. C2×C3×D3×D4C22semidirect
24. C2×C32×D8C22semidirect
25. C22×C32×C8C22semidirect
28. C3×#938C22semidirect
30. C2×C3×#214C22semidirect
32. C2×C3×#213C22semidirect
33. C3×#926C22semidirect
34. C2×C3×#208C22semidirect
35. C3×#832C22semidirect
36. C3×#821C22semidirect
37. C3×(C2×D3)⋊C8C22semidirect
38. C3×#816C22semidirect
40. C2×#1004C2×C3semidirect
43. C22×C3×D8D3semidirect
44. C22×C3×D8C2×C3semidirect
46. #5805C2×C3semidirect
47. C2×#932C2×C3semidirect
53. #5215C2×C3semidirect
54. #5158C2×C3semidirect
55. #5156C2×C3semidirect
56. #5113C2×C3semidirect
57. #5110C2×C3semidirect
66. C2×C32×D4D4semidirect
86. C3×#235D4semidirect
117. C22×C3×D4C2×D3semidirect
119. C22×C3×D4C22×C3semidirect
124. C2×#237C22×C3semidirect
126. C2×D3×D4C22×C3semidirect
136. C2×C3×D8C2×D3semidirect
137. C2×C3×D8C22×C3semidirect
140. C22×C3×C8C2×D3semidirect
141. C22×C3×C8C22×C3semidirect
149. #938C22×C3semidirect
151. C2×#214C22×C3semidirect
153. C2×#213C22×C3semidirect
154. #926C22×C3semidirect
155. C2×#208C22×C3semidirect
160. #832C22×C3semidirect
161. #821C22×C3semidirect
162. (C2×D3)⋊C8C22×C3semidirect
163. #816C22×C3semidirect
207. C22×D8C3×D3semidirect
260. C2×C3×D4#67semidirect
261. C2×C3×D4C3×D4semidirect
288. #235C3×D4semidirect
350. C22×D4C2×C3×D3semidirect
355. C2×D8C2×C3×D3semidirect
357. C22×C8C2×C3×D3semidirect
502. C2×D4C3×#67semidirect
572. C32#3008semidirect
654. C3#83833direct (N × H)
655. C3C3×#3008semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10042
C22×C32×D82
C3×#58052
C2×C3×#9322
C3×#52152
C3×#51582
C3×#51562
C3×#51132
C3×#51102
C3×#30083
#838333