Finite Group Databasebeta

← C2×C3×#73032 #72277282

Subgroups — C2×C3×#73032 #72277282

Order 2304.

1292 conjugacy classes of subgroups; only the 62 normal subgroups are shown.

normal subgroups only

This group has 1292 conjugacy classes of subgroups — too many to draw. Only its 62 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#5935C211yesmaximal, characteristic, complemented
2C2×C3×#5934C211yesmaximal, characteristic, complemented
3C3×#73032C214yesmaximal, direct product factor
4C2×C3×#458⋊C3C211yesmaximal, characteristic, complemented
5C2×#73032C311yesmaximal, characteristic, direct product factor
6C2×C3×#2200—31nomaximal
7C2×C3×#997C2211yescharacteristic
8C3×#5935C2212yescomplemented
9C3×#5934C2212yescomplemented
10C2×C3×C4⋊S4—41nomaximal
11C3×#458⋊C3C2212yescomplemented
12C2×#5935C2×C311yescharacteristic, complemented
13C2×#5934C2×C311yescharacteristic, complemented
14C2×C3×#560—31no—
15C2×C3×#458D311yescharacteristic, complemented
16C2×C3×B(4,𝔽2)—31no—
17C2×C3×#453—31no—
18C2×#458⋊C3—21no—
19C2×#458⋊C3C2×C311yescharacteristic, complemented
20#73032C2×C314yesdirect product factor
21C3×#2200—34no—
22C3×#2200—34no—
23C2×C3×#353—31no—
24C2×C3×#352—31no—
25C2×C3×AΣL(1,𝔽16)—31no—
26C22×C3×S4—41no—
27C22×C3×S4—41no—
28C22×C3×S4—81no—
29C3×#997C2311yescharacteristic
30C2×C3×C4×A4—41no—
31C2×C3×GL(2,𝔽3)—81no—
32C3×C4⋊S4—44no—
33C2×#2200—31noSylow
34C2×C3×H(5,𝔽2)C2×D311yescharacteristic
35C2×#997—21no—
36C2×#997C22×C311yescharacteristic
37#5935C22×C312yescomplemented
38#5934C22×C312yescomplemented
39C2×C4⋊S4—41no—
40C2×C3×AGL(1,ℤ/8)—61no—
41C3×#560—34no—
42C3×#560—62no—
43C3×#560—62no—
44C3×#560—62no—
45C2×C3×#127—31no—
46C2×C3×#126—61no—
47C2×C3×#123—31no—
48C2×C3×#123—61no—
49C2×C3×#121—61no—
50C2×C3×#121—61no—
51C2×C3×#121—61no—
52C2×C3×#120—31no—
53C2×C3×#120—61no—
54C2×C3×#120—61no—
55C3×#458—32no—
56C3×#458C2×D312yescomplemented
57C3×B(4,𝔽2)—32no—
58C3×B(4,𝔽2)—32no—
59C3×B(4,𝔽2)—62no—
60C3×#453—32no—
61C3×#453—32no—
62C3×#453—62no—
63C2×C3×#104—61no—
64C2×C3×#100—31no—
65C2×C3×#99—31no—
66C2×C3×#99—31no—
67C2×C3×#99—61no—
68#458⋊C3—22no—
69#458⋊C3C22×C312yescomplemented
70C3×#353—34no—
71C3×#352—34no—
72C3×AΣL(1,𝔽16)—34no—
73C22×C3×A4—41no—
74C22×C3×A4—81no—
75C2×C3×S4—42no—
76C2×C3×S4—42no—
77C2×C3×S4—82no—
78C2×C3×S4—82no—
79C2×C3×S4—82no—
80C2×C3×S4—84no—
81C2×C3×D12—161no—
82C2×C3×SL(2,𝔽3)—81no—
83C3×C4×A4—42no—
84C3×GL(2,𝔽3)—82no—
85C2×#560—31no—
86C2×#458C3×D311yescharacteristic, complemented
87C2×B(4,𝔽2)—31no—
88C2×#453—31no—
89#2200—34no—
90#2200—34no—
91C2×#353—31no—
92C2×#352—31no—
93C2×AΣL(1,𝔽16)—31no—
94C25×C3—31no—
95C22×S4—41no—
96C22×S4—41no—
97C22×S4—81no—
98C3×H(5,𝔽2)—31no—
99C3×H(5,𝔽2)—61no—
100C3×H(5,𝔽2)—61no—
101C3×H(5,𝔽2)C22×D311yescharacteristic
102C2×C3×#41—61no—
103C22×C3×D4—31no—
104C22×C3×D4—31no—
105C22×C3×D4—61no—
106C22×C3×D4—61no—
107C22×C3×D4—61no—
108C22×C3×D4—61no—
109C22×C3×D4—61no—
110C22×C3×D4—61no—
111C22×C3×D4—121no—
112C23×C3×C4—61no—
113C23×C3×C4S411yescharacteristic, complemented
114#997—21no—
115#997C23×C311yescharacteristic
116C2×C4×A4—41no—
117C2×C4×A4—81no—
118C2×GL(2,𝔽3)—81no—
119C4⋊S4—44no—
120C3×AGL(1,ℤ/8)—62no—
121C3×AGL(1,ℤ/8)—62no—
122C3×AGL(1,ℤ/8)—121no—
123C3×AGL(1,ℤ/8)—121no—
124C2×C3×SD16—121no—
125C2×C3×D8—121no—
126C2×C3×M16—61no—
127C3×#127—32no—
128C3×#127—32no—
129C3×#127—61no—
130C3×#127—61no—
131C3×#126—64no—
132C3×#126—64no—
133C3×#123—32no—
134C3×#123—32no—
135C3×#123—64no—
136C3×#123—61no—
137C3×#123—61no—
138C3×#123—64no—
139C3×#121—64no—
140C3×#121—64no—
141C3×#121—64no—
142C3×#121—64no—
143C3×#121—64no—
144C3×#121—64no—
145C3×#120—32no—
146C3×#120—32no—
147C3×#120—61no—
148C3×#120—61no—
149C3×#120—64no—
150C3×#120—64no—
151C3×#120—62no—
152C3×#120—62no—
153C3×#120—121no—
154C3×#120—121no—
155C2×C3×C4⋊C4—61no—
156C2×C3×C4⋊C4—61no—
157C2×C3×C4⋊C4—61no—
158C2×C3×C22⋊C4—31no—
159C2×C3×C22⋊C4—31no—
160C2×C3×C22⋊C4—61no—
161C2×C3×C22⋊C4—61no—
162C2×C3×C22⋊C4—61no—
163C2×C3×C22⋊C4—61no—
164C2×C3×C22⋊C4—61no—
165C2×C3×C22⋊C4—61no—
166C2×C3×C22⋊C4—121no—
167C2×C3×C42—31no—
168C3×#104—62no—
169C3×#104—62no—
170C3×#100—32no—
171C3×#100—61no—
172C3×#99—32no—
173C3×#99—32no—
174C3×#99—61no—
175C3×#99—62no—
176C3×#99—62no—
177C3×#99—61no—
178C22×C3×D3—161no—
179C22×C3×D3—161no—
180C2×C3×A4—42no—
181C2×C3×A4—41no—
182C2×C3×A4—81no—
183C2×C3×A4—82no—
184C3×S4—82no—
185C3×S4—82no—
186C3×S4—84no—
187C2×C32×C4—161no—
188C3×D12—164no—
189C3×SL(2,𝔽3)—81no—
190C2×H(5,𝔽2)C2×C3×D311yescharacteristic
191C2×AGL(1,ℤ/8)—61no—
192#560—34no—
193#560—62no—
194#560—62no—
195#560—62no—
196C2×#127—31no—
197C2×#126—61no—
198C2×#123—31no—
199C2×#123—61no—
200C2×#121—61no—
201C2×#121—61no—
202C2×#121—61no—
203C2×#120—31no—
204C2×#120—61no—
205C2×#120—61no—
206#458—32no—
207#458C2×C3×D312yescomplemented
208B(4,𝔽2)—32no—
209B(4,𝔽2)—32no—
210B(4,𝔽2)—62no—
211#453—32no—
212#453—32no—
213#453—62no—
214C2×#104—61no—
215C2×#100—31no—
216C2×#99—31no—
217C2×#99—31no—
218C2×#99—61no—
219#353—34no—
220#352—34no—
221AΣL(1,𝔽16)—34no—
222C24×C3—21no—
223C24×C3—31no—
224C24×C3—32no—
225C24×C3—61no—
226C24×C3—61no—
227C24×C3—61no—
228C24×C3—121no—
229C24×C3—121no—
230C24×C3—242no—
231C24×C3C2×S411yescharacteristic
232C22×A4—41no—
233C22×A4—81no—
234C22×A4—81no—
235C22×A4—161no—
236C2×S4—42no—
237C2×S4—42no—
238C2×S4—82no—
239C2×S4—82no—
240C2×S4—82no—
241C2×S4—84no—
242C3×#41—61no—
243C3×#41—61no—
244C3×#41—61no—
245C3×#41—61no—
246C3×#41—121no—
247C3×#41—121no—
248C2×C3×Q8—21no—
249C2×C3×D4—31no—
250C2×C3×D4—31no—
251C2×C3×D4—31no—
252C2×C3×D4—31no—
253C2×C3×D4—32no—
254C2×C3×D4—61no—
255C2×C3×D4—61no—
256C2×C3×D4—61no—
257C2×C3×D4—61no—
258C2×C3×D4—61no—
259C2×C3×D4—61no—
260C2×C3×D4—62no—
261C2×C3×D4—62no—
262C2×C3×D4—62no—
263C2×C3×D4—62no—
264C2×C3×D4—64no—
265C2×C3×D4—64no—
266C2×C3×D4—62no—
267C2×C3×D4—62no—
268C2×C3×D4—121no—
269C2×C3×D4—121no—
270C2×C3×D4—121no—
271C2×C3×D4—121no—
272C2×C3×D4—121no—
273C2×C3×D4—121no—
274C2×C3×D4—122no—
275C2×C3×D4—122no—
276C2×C3×D4—241no—
277C2×C3×D4—242no—
278C2×C3×D4—242no—
279C2×C3×D4—241no—
280C2×C3×D4—242no—
281C2×C3×D4—242no—
282C2×C3×D4—244no—
283C22×C3×C4—31no—
284C22×C3×C4—61no—
285C22×C3×C4—61no—
286C22×C3×C4—61no—
287C22×C3×C4—61no—
288C22×C3×C4—61no—
289C22×C3×C4—61no—
290C22×C3×C4—64no—
291C22×C3×C4—121no—
292C22×C3×C4—242no—
293C22×C3×C4C2×S412yescomplemented
294C2×D12—161no—
295C2×SL(2,𝔽3)—81no—
296C2×SL(2,𝔽3)—161no—
297C4×A4—42no—
298C4×A4—82no—
299GL(2,𝔽3)—82no—
300C3×SD16—122no—
301C3×SD16—122no—
302C3×D8—122no—
303C3×D8—122no—
304C3×M16—62no—
305C3×M16—121no—
306C2×C3×C8—121no—
307C3×C4⋊C4—62no—
308C3×C4⋊C4—62no—
309C3×C4⋊C4—64no—
310C3×C4⋊C4—64no—
311C3×C22⋊C4—32no—
312C3×C22⋊C4—32no—
313C3×C22⋊C4—62no—
314C3×C22⋊C4—62no—
315C3×C22⋊C4—61no—
316C3×C22⋊C4—61no—
317C3×C22⋊C4—62no—
318C3×C22⋊C4—62no—
319C3×C22⋊C4—64no—
320C3×C22⋊C4—64no—
321C3×C22⋊C4—64no—
322C3×C22⋊C4—62no—
323C3×C22⋊C4—122no—
324C3×C22⋊C4—122no—
325C3×C22⋊C4—121no—
326C3×C42—32no—
327C3×C42—61no—
328C22×C32—161no—
329C2×C3×D3—162no—
330C2×C3×D3—162no—
331C2×C3×D3—322no—
332C2×C3×D3—322no—
333C3×A4—41no—
334C3×A4—81no—
335C32×C4—162no—
336C25—31no—
337H(5,𝔽2)—31no—
338H(5,𝔽2)—61no—
339H(5,𝔽2)—61no—
340H(5,𝔽2)C22×C3×D311yescharacteristic
341C2×#41—61no—
342C22×D4—31no—
343C22×D4—31no—
344C22×D4—61no—
345C22×D4—61no—
346C22×D4—61no—
347C22×D4—61no—
348C22×D4—61no—
349C22×D4—61no—
350C22×D4—121no—
351C23×C4—61no—
352C23×C4C3×S411yescharacteristic, complemented
353AGL(1,ℤ/8)—62no—
354AGL(1,ℤ/8)—62no—
355AGL(1,ℤ/8)—121no—
356AGL(1,ℤ/8)—121no—
357C2×SD16—121no—
358C2×D8—121no—
359C2×M16—61no—
360#127—32no—
361#127—32no—
362#127—61no—
363#127—61no—
364#126—64no—
365#126—64no—
366#123—32no—
367#123—32no—
368#123—64no—
369#123—61no—
370#123—61no—
371#123—64no—
372#121—64no—
373#121—64no—
374#121—64no—
375#121—64no—
376#121—64no—
377#121—64no—
378#120—32no—
379#120—32no—
380#120—61no—
381#120—61no—
382#120—64no—
383#120—64no—
384#120—62no—
385#120—62no—
386#120—121no—
387#120—121no—
388C2×C4⋊C4—61no—
389C2×C4⋊C4—61no—
390C2×C4⋊C4—61no—
391C2×C22⋊C4—31no—
392C2×C22⋊C4—31no—
393C2×C22⋊C4—61no—
394C2×C22⋊C4—61no—
395C2×C22⋊C4—61no—
396C2×C22⋊C4—61no—
397C2×C22⋊C4—61no—
398C2×C22⋊C4—61no—
399C2×C22⋊C4—121no—
400C2×C42—31no—
401#104—62no—
402#104—62no—
403#100—32no—
404#100—61no—
405#99—32no—
406#99—32no—
407#99—61no—
408#99—62no—
409#99—62no—
410#99—61no—
411C23×C3—21no—
412C23×C3—31no—
413C23×C3—31no—
414C23×C3—31no—
415C23×C3—31no—
416C23×C3—42no—
417C23×C3—61no—
418C23×C3—62no—
419C23×C3—62no—
420C23×C3—61no—
421C23×C3—61no—
422C23×C3—82no—
423C23×C3—121no—
424C23×C3—121no—
425C23×C3—122no—
426C23×C3—122no—
427C23×C3—122no—
428C23×C3—122no—
429C23×C3—122no—
430C23×C3—122no—
431C23×C3—124no—
432C23×C3—121no—
433C23×C3—121no—
434C23×C3—241no—
435C23×C3—242no—
436C23×C3—242no—
437C23×C3—242no—
438C23×C3—244no—
439C23×C3C22×S411yescharacteristic
440C22×D3—161no—
441C22×D3—161no—
442C2×A4—42no—
443C2×A4—41no—
444C2×A4—81no—
445C2×A4—82no—
446C2×A4—82no—
447C2×A4—81no—
448C2×A4—161no—
449C2×A4—162no—
450S4—82no—
451S4—82no—
452S4—84no—
453C3×Q8—21no—
454C3×Q8—61no—
455C3×D4—61no—
456C3×D4—61no—
457C3×D4—121no—
458C3×D4—121no—
459C3×D4—121no—
460C3×D4—121no—
461C3×D4—121no—
462C3×D4—122no—
463C3×D4—244no—
464C3×D4—241no—
465C3×D4—242no—
466C3×D4—242no—
467C3×D4—242no—
468C3×D4—244no—
469C3×D4—242no—
470C3×D4—242no—
471C3×D4—242no—
472C3×D4—244no—
473C3×D4—244no—
474C2×C3×C4—31no—
475C2×C3×C4—31no—
476C2×C3×C4—41no—
477C2×C3×C4—62no—
478C2×C3×C4—61no—
479C2×C3×C4—61no—
480C2×C3×C4—61no—
481C2×C3×C4—61no—
482C2×C3×C4—62no—
483C2×C3×C4—62no—
484C2×C3×C4—62no—
485C2×C3×C4—121no—
486C2×C3×C4—121no—
487C2×C3×C4—122no—
488C2×C3×C4—122no—
489C2×C3×C4—122no—
490C2×C3×C4—122no—
491C2×C3×C4—161no—
492C2×C3×C4—244no—
493C2×C3×C4—242no—
494C2×C3×C4—321no—
495D12—164no—
496SL(2,𝔽3)—81no—
497SL(2,𝔽3)—161no—
498C3×C8—122no—
499C2×C32—162no—
500C2×C32—161no—
501C3×D3—322no—
502C3×D3—322no—
503C24—21no—
504C24—31no—
505C24—32no—
506C24—61no—
507C24—61no—
508C24—61no—
509C24—121no—
510C24—121no—
511C24—242no—
512C24C2×C3×S411yescharacteristic
513#41—61no—
514#41—61no—
515#41—61no—
516#41—61no—
517#41—121no—
518#41—121no—
519C2×Q8—21no—
520C2×D4—31no—
521C2×D4—31no—
522C2×D4—31no—
523C2×D4—31no—
524C2×D4—32no—
525C2×D4—61no—
526C2×D4—61no—
527C2×D4—61no—
528C2×D4—61no—
529C2×D4—61no—
530C2×D4—61no—
531C2×D4—62no—
532C2×D4—62no—
533C2×D4—62no—
534C2×D4—62no—
535C2×D4—64no—
536C2×D4—64no—
537C2×D4—62no—
538C2×D4—62no—
539C2×D4—121no—
540C2×D4—121no—
541C2×D4—121no—
542C2×D4—121no—
543C2×D4—121no—
544C2×D4—121no—
545C2×D4—122no—
546C2×D4—122no—
547C2×D4—241no—
548C2×D4—242no—
549C2×D4—242no—
550C2×D4—241no—
551C2×D4—242no—
552C2×D4—242no—
553C2×D4—244no—
554C22×C4—31no—
555C22×C4—61no—
556C22×C4—61no—
557C22×C4—61no—
558C22×C4—61no—
559C22×C4—61no—
560C22×C4—61no—
561C22×C4—64no—
562C22×C4—121no—
563C22×C4—242no—
564C22×C4C2×C3×S412yescomplemented
565SD16—122no—
566SD16—122no—
567D8—122no—
568D8—122no—
569M16—62no—
570M16—121no—
571C2×C8—121no—
572C4⋊C4—62no—
573C4⋊C4—62no—
574C4⋊C4—64no—
575C4⋊C4—64no—
576C22⋊C4—32no—
577C22⋊C4—32no—
578C22⋊C4—62no—
579C22⋊C4—62no—
580C22⋊C4—61no—
581C22⋊C4—61no—
582C22⋊C4—62no—
583C22⋊C4—62no—
584C22⋊C4—64no—
585C22⋊C4—64no—
586C22⋊C4—64no—
587C22⋊C4—62no—
588C22⋊C4—122no—
589C22⋊C4—122no—
590C22⋊C4—121no—
591C42—32no—
592C42—61no—
593C22×C3—31no—
594C22×C3—31no—
595C22×C3—41no—
596C22×C3—62no—
597C22×C3—61no—
598C22×C3—61no—
599C22×C3—81no—
600C22×C3—121no—
601C22×C3—121no—
602C22×C3—121no—
603C22×C3—122no—
604C22×C3—122no—
605C22×C3—122no—
606C22×C3—122no—
607C22×C3—122no—
608C22×C3—124no—
609C22×C3—122no—
610C22×C3—122no—
611C22×C3—161no—
612C22×C3—241no—
613C22×C3—242no—
614C22×C3—242no—
615C22×C3—241no—
616C22×C3—242no—
617C22×C3—244no—
618C22×C3—242no—
619C22×C3—242no—
620C22×C3—321no—
621C22×C3#1020⋊C211yescharacteristic
622C2×D3—162no—
623C2×D3—162no—
624C2×D3—322no—
625C2×D3—322no—
626A4—41no—
627A4—81no—
628A4—81no—
629A4—161no—
630C3×C4—42no—
631C3×C4—61no—
632C3×C4—61no—
633C3×C4—122no—
634C3×C4—122no—
635C3×C4—122no—
636C3×C4—162no—
637C3×C4—242no—
638C3×C4—322no—
639C32—161noSylow
640C23—21no—
641C23—31no—
642C23—31no—
643C23—31no—
644C23—31no—
645C23—42no—
646C23—61no—
647C23—62no—
648C23—62no—
649C23—61no—
650C23—61no—
651C23—82no—
652C23—121no—
653C23—121no—
654C23—122no—
655C23—122no—
656C23—122no—
657C23—122no—
658C23—122no—
659C23—122no—
660C23—124no—
661C23—121no—
662C23—121no—
663C23—241no—
664C23—242no—
665C23—242no—
666C23—242no—
667C23—244no—
668C23C22×C3×S411yescharacteristic
669Q8—21no—
670Q8—61no—
671D4—61no—
672D4—61no—
673D4—121no—
674D4—121no—
675D4—121no—
676D4—121no—
677D4—121no—
678D4—122no—
679D4—244no—
680D4—241no—
681D4—242no—
682D4—242no—
683D4—242no—
684D4—244no—
685D4—242no—
686D4—242no—
687D4—242no—
688D4—244no—
689D4—244no—
690C2×C4—31no—
691C2×C4—31no—
692C2×C4—41no—
693C2×C4—62no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—62no—
699C2×C4—62no—
700C2×C4—62no—
701C2×C4—121no—
702C2×C4—121no—
703C2×C4—122no—
704C2×C4—122no—
705C2×C4—122no—
706C2×C4—122no—
707C2×C4—244no—
708C2×C4—242no—
709C8—122no—
710C2×C3—61no—
711C2×C3—61no—
712C2×C3—121no—
713C2×C3—121no—
714C2×C3—162no—
715C2×C3—161no—
716C2×C3—242no—
717C2×C3—242no—
718C2×C3—322no—
719C2×C3—321no—
720C2×C3#7303212yesdirect product factor
721C2×C3C2×#1020⋊C211yescharacteristic
722D3—322no—
723D3—322no—
724C22—31no—
725C22—31no—
726C22—41no—
727C22—62no—
728C22—61no—
729C22—61no—
730C22—81no—
731C22—121no—
732C22—121no—
733C22—121no—
734C22—122no—
735C22—122no—
736C22—122no—
737C22—122no—
738C22—122no—
739C22—124no—
740C22—122no—
741C22—122no—
742C22—241no—
743C22—242no—
744C22—242no—
745C22—241no—
746C22—242no—
747C22—244no—
748C22—242no—
749C22—242no—
750C22C3×#1020⋊C211yescharacteristic
751C4—42no—
752C4—61no—
753C4—61no—
754C4—122no—
755C4—122no—
756C4—122no—
757C4—242no—
758C3—161no—
759C3—321no—
760C3C2×#7303211yescharacteristic, direct product factor
761C2—61no—
762C2—61no—
763C2—121no—
764C2—121no—
765C2—242no—
766C2—242no—
767C2C3×#7303212yesdirect product factor
768C2C2×C3×#1020⋊C211yescharacteristic
subgroupG/H
center, socle, hypercenterC22×C3#1020⋊C2
commutator, cosocle, hypocenter#997C23×C3
FrattiniC23C22×C3×S4
FittingC2×C3×#458D3
LCSG ▷ #997
UCSC1 ◁ C22×C3

Complements

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

NH ≅ G/Ntype
1. C2×C3×#5935C2semidirect
2. C2×C3×#5934C2semidirect
3. C3×#73032C2direct (N × H)
4. C2×C3×#458⋊C3C2semidirect
5. C2×#73032C3direct (N × H)
8. C3×#5935C22semidirect
9. C3×#5934C22semidirect
11. C3×#458⋊C3C22semidirect
12. C2×#5935C2×C3semidirect
13. C2×#5934C2×C3semidirect
15. C2×C3×#458D3semidirect
19. C2×#458⋊C3C2×C3semidirect
20. #73032C2×C3direct (N × H)
37. #5935C22×C3semidirect
38. #5934C22×C3semidirect
56. C3×#458C2×D3semidirect
69. #458⋊C3C22×C3semidirect
86. C2×#458C3×D3semidirect
113. C23×C3×C4S4semidirect
207. #458C2×C3×D3semidirect
293. C22×C3×C4C2×S4semidirect
352. C23×C4C3×S4semidirect
564. C22×C4C2×C3×S4semidirect
720. C2×C3#73032direct (N × H)
760. C3C2×#73032direct (N × H)
767. C2C3×#73032direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#59352
C2×C3×#59342
C3×#730322
C2×C3×#458⋊C32
C2×#730323
C2×C3×#22003
C2×C3×C4⋊S44