Finite Group Databasebeta

← #10723110

Subgroups — #10723110

Order 768.

2118 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#386C211yesmaximal, characteristic
2C2×#5221C211yesmaximal, characteristic
3C2×#5220C211yesmaximal, characteristic
4C2×#5212C212yesmaximal, complemented
5C2×#4950C212yesmaximal, complemented
6#71546C212yesmaximal, complemented
7#71546C212yesmaximal, complemented
8#69419C212yesmaximal, complemented
9#69407C212yesmaximal, complemented
10#14401—31nomaximal, Sylow
11C23×C3×D4C2211yescharacteristic
12C24×C3×C4C2211yescharacteristic
13C24×Dic3C2211yescharacteristic
14C22×C3×C22⋊C4C2212yes—
15C22×C3×C22⋊C4C2211yescharacteristic
16C22×#217C2212yes—
17C22×#217C2212yes—
18C22×#217C2212yes—
19C22×#217C2211yescharacteristic
20C22×C4⋊Dic3C2212yes—
21C22×C4⋊Dic3C2212yes—
22C22×C4⋊Dic3C2211yescharacteristic
23C22×C4⋊Dic3C2212yes—
24C22×C4×Dic3C2211yescharacteristic
25C3×#386C418yescomplemented
26C2×C3×#95C2212yes—
27#5221—24no—
28#5220—24no—
29#5212—28no—
30C2×C3⋊#95C2212yes—
31C2×C3⋊#95C2212yes—
32C2×C3⋊#95C2212yes—
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2212yes—
36#4950—28no—
37C2×#390—31no—
38C2×#386—31no—
39C2×#386D311yescharacteristic
40C2×#385—32no—
41C2×#380—32no—
42#1444—32no—
43#1439—32no—
44#1439—32no—
45#1436—32no—
46C25×C3C2311yescharacteristic
47C25×C3C2311yescharacteristic
48C22×C3×D4—41no—
49C22×C3×D4—41no—
50C22×C3×D4—41no—
51C22×C3×D4—41no—
52C22×C3×D4C2×C414yes—
53C22×C3×D4D414yes—
54C22×C3×D4Q814yes—
55C23×C3×C4—24no—
56C23×C3×C4—24no—
57C23×C3×C4—41no—
58C23×C3×C4—41no—
59C23×C3×C4C2×C414yescomplemented
60C23×C3×C4C2312yes—
61C23×C3×C4C2311yescharacteristic
62C23×C3×C4C2312yes—
63C23×Dic3—22no—
64C23×Dic3—24no—
65C23×Dic3—41no—
66C23×Dic3—41no—
67C23×Dic3—42no—
68C23×Dic3C2312yes—
69C23×Dic3C2312yes—
70C23×Dic3C2312yes—
71C23×Dic3C2312yes—
72C2×C3×C22⋊C4—24no—
73C2×C3×C22⋊C4—24no—
74C2×C3×C22⋊C4—41no—
75C2×C3×C22⋊C4—41no—
76C2×C3×C22⋊C4C2×C418yes—
77C2×C3×C22⋊C4C2×C414yescomplemented
78C2×#217—24no—
79C2×#217—22no—
80C2×#217—24no—
81C2×#217—24no—
82C2×#217—24no—
83C2×#217—24no—
84C2×#217—24no—
85C2×#217—42no—
86C2×#217—42no—
87C2×#217—42no—
88C2×#217—41no—
89C2×#217—41no—
90C2×C4⋊Dic3—24no—
91C2×C4⋊Dic3—22no—
92C2×C4⋊Dic3—24no—
93C2×C4⋊Dic3—24no—
94C2×C4⋊Dic3—24no—
95C2×C4⋊Dic3—24no—
96C2×C4⋊Dic3—42no—
97C2×C4⋊Dic3—42no—
98C2×C4⋊Dic3—42no—
99C2×C4⋊Dic3—42no—
100C2×C4⋊Dic3—41no—
101C2×C4⋊Dic3—41no—
102C2×C4×Dic3—22no—
103C2×C4×Dic3—41no—
104C2×C4×Dic3—41no—
105C3×#95C2×C418yescomplemented
106C3⋊#95—24no—
107C3⋊#95—24no—
108C3⋊#95—24no—
109C3⋊#95—42no—
110C3⋊#95—42no—
111C3⋊#95D418yescomplemented
112C23×D4C2×D311yescharacteristic
113C24×C4—31no—
114C24×C4C2×D311yescharacteristic
115C22×C4⋊C4—32no—
116C22×C4⋊C4—32no—
117C22×C4⋊C4—32no—
118C22×C4⋊C4—31no—
119C22×C22⋊C4—32no—
120C22×C22⋊C4—32no—
121C22×C22⋊C4—32no—
122C22×C22⋊C4—31no—
123C22×C22⋊C4C2×D312yes—
124C22×C22⋊C4C2×D311yescharacteristic
125C22×C42—31no—
126#390—64no—
127#386—64no—
128#386Dic318yescomplemented
129#385—68no—
130#380—68no—
131C2×#95—32no—
132C2×#95—32no—
133C2×#95—32no—
134C2×#95—32no—
135C2×#95—32no—
136C2×#95—32no—
137C2×#95C2×D312yes—
138C24×C3—22no—
139C24×C3—22no—
140C24×C3—22no—
141C24×C3—22no—
142C24×C3—22no—
143C24×C3—22no—
144C24×C3—21no—
145C24×C3—21no—
146C24×C3—21no—
147C24×C3—21no—
148C24×C3—21no—
149C24×C3—21no—
150C24×C3—21no—
151C24×C3—21no—
152C24×C3—22no—
153C24×C3—22no—
154C24×C3C22×C412yes—
155C24×C3C22×C412yes—
156C24×C3C2×D412yes—
157C24×C3C2×D412yes—
158C24×C3C2×Q812yes—
159C24×C3C2×Q812yes—
160C24×C3C2411yescharacteristic
161C2×C3×D4—44no—
162C2×C3×D4—44no—
163C2×C3×D4—44no—
164C2×C3×D4—44no—
165C2×C3×D4—44no—
166C2×C3×D4—44no—
167C2×C3×D4C4⋊C4116yescomplemented
168C22×C3×C4—22no—
169C22×C3×C4—22no—
170C22×C3×C4—21no—
171C22×C3×C4—21no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—21no—
175C22×C3×C4—21no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—216no—
183C22×C3×C4—44no—
184C22×C3×C4—44no—
185C22×C3×C4—48no—
186C22×C3×C4—44no—
187C22×C3×C4C22×C414yes—
188C22×C3×C4C22×C412yes—
189C22×C3×C4C22×C414yes—
190C22×C3×C4C2×D412yes—
191C22×C3×C4C2×D414yes—
192C22×C3×C4C2×Q812yes—
193C22×C3×C4#4114yes—
194C22×Dic3—22no—
195C22×Dic3—22no—
196C22×Dic3—22no—
197C22×Dic3—22no—
198C22×Dic3—22no—
199C22×Dic3—22no—
200C22×Dic3—22no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—22no—
207C22×Dic3—22no—
208C22×Dic3—22no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—22no—
216C22×Dic3—22no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—22no—
220C22×Dic3—44no—
221C22×Dic3—48no—
222C22×Dic3—48no—
223C22×Dic3—44no—
224C22×Dic3—44no—
225C22×Dic3C2×D414yes—
226C22×Dic3C2×D414yes—
227C3×C22⋊C4—216no—
228C3×C22⋊C4—44no—
229#217—48no—
230#217—48no—
231#217—48no—
232#217—44no—
233C4⋊Dic3—48no—
234C4⋊Dic3—48no—
235C4⋊Dic3—48no—
236C4⋊Dic3—44no—
237C4×Dic3—44no—
238C25C22×D311yescharacteristic
239C25C22×D311yescharacteristic
240C22×D4—41no—
241C22×D4—41no—
242C22×D4—41no—
243C22×D4—41no—
244C22×D4Dic614yes—
245C22×D4D1214yes—
246C22×D4C2×Dic314yes—
247C23×C4—24no—
248C23×C4—24no—
249C23×C4—32no—
250C23×C4—32no—
251C23×C4—32no—
252C23×C4—32no—
253C23×C4—41no—
254C23×C4—41no—
255C23×C4—64no—
256C23×C4—62no—
257C23×C4—121no—
258C23×C4—121no—
259C23×C4—122no—
260C23×C4C2×Dic314yescomplemented
261C23×C4C22×D312yes—
262C23×C4C22×D311yescharacteristic
263C23×C4C22×D312yes—
264C2×C4⋊C4—64no—
265C2×C4⋊C4—64no—
266C2×C4⋊C4—64no—
267C2×C4⋊C4—62no—
268C2×C4⋊C4—64no—
269C2×C4⋊C4—64no—
270C2×C4⋊C4—122no—
271C2×C4⋊C4—122no—
272C2×C4⋊C4—121no—
273C2×C4⋊C4—121no—
274C2×C4⋊C4—122no—
275C2×C4⋊C4—122no—
276C2×C22⋊C4—24no—
277C2×C22⋊C4—24no—
278C2×C22⋊C4—41no—
279C2×C22⋊C4—41no—
280C2×C22⋊C4—64no—
281C2×C22⋊C4—64no—
282C2×C22⋊C4—64no—
283C2×C22⋊C4—64no—
284C2×C22⋊C4—62no—
285C2×C22⋊C4—64no—
286C2×C22⋊C4—64no—
287C2×C22⋊C4—122no—
288C2×C22⋊C4—122no—
289C2×C22⋊C4—122no—
290C2×C22⋊C4—121no—
291C2×C22⋊C4—121no—
292C2×C22⋊C4C2×Dic318yes—
293C2×C22⋊C4C2×Dic314yescomplemented
294C2×C42—62no—
295C2×C42—121no—
296C2×C42—121no—
297#95—38no—
298#95—64no—
299#95—64no—
300#95—64no—
301#95—122no—
302#95—122no—
303#95C2×Dic318yescomplemented
304C23×C3—24no—
305C23×C3—24no—
306C23×C3—22no—
307C23×C3—22no—
308C23×C3—22no—
309C23×C3—22no—
310C23×C3—24no—
311C23×C3—24no—
312C23×C3—22no—
313C23×C3—22no—
314C23×C3—22no—
315C23×C3—22no—
316C23×C3—22no—
317C23×C3—22no—
318C23×C3—22no—
319C23×C3—22no—
320C23×C3—24no—
321C23×C3—24no—
322C23×C3—24no—
323C23×C3—24no—
324C23×C3—24no—
325C23×C3—24no—
326C23×C3—24no—
327C23×C3—24no—
328C23×C3—42no—
329C23×C3—42no—
330C23×C3—42no—
331C23×C3—42no—
332C23×C3—42no—
333C23×C3—42no—
334C23×C3—42no—
335C23×C3—42no—
336C23×C3—41no—
337C23×C3—41no—
338C23×C3—42no—
339C23×C3—42no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3—42no—
345C23×C3—42no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3C2×C4⋊C414yes—
349C23×C3C2×C4⋊C414yes—
350C23×C3C23×C411yescharacteristic
351C23×C3C22×D411yescharacteristic
352C23×C3C22×D412yes—
353C23×C3C22×Q811yescharacteristic
354C23×C3C2×#4112yes—
355C23×C3H(5,𝔽2)11yescharacteristic
356C23×C3H(5,𝔽2)11yescharacteristic
357C23×C3H(5,𝔽2)11yescharacteristic
358C23×C3H(5,𝔽2)11yescharacteristic
359C23×C3H(5,𝔽2)12yes—
360C23×C32−1+412yes—
361C3×D4—416no—
362C2×C3×C4—24no—
363C2×C3×C4—24no—
364C2×C3×C4—22no—
365C2×C3×C4—22no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—24no—
373C2×C3×C4—24no—
374C2×C3×C4—24no—
375C2×C3×C4—24no—
376C2×C3×C4—24no—
377C2×C3×C4—416no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—42no—
382C2×C3×C4C2×C4⋊C414yes—
383C2×C3×C4C4×D418yes—
384C2×Dic3—24no—
385C2×Dic3—24no—
386C2×Dic3—24no—
387C2×Dic3—24no—
388C2×Dic3—24no—
389C2×Dic3—24no—
390C2×Dic3—416no—
391C2×Dic3—42no—
392C2×Dic3—42no—
393C2×Dic3—42no—
394C2×Dic3—42no—
395C2×Dic3—42no—
396C2×Dic3—42no—
397C2×Dic3—42no—
398C2×Dic3—42no—
399C2×Dic3—42no—
400C2×Dic3—42no—
401C2×Dic3—42no—
402C2×Dic3—42no—
403C2×Dic3—42no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—42no—
407C2×Dic3—42no—
408C2×Dic3—42no—
409C2×Dic3—42no—
410C2×Dic3—42no—
411C2×Dic3—42no—
412C2×Dic3—42no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—21no—
418C24—21no—
419C24—21no—
420C24—21no—
421C24—21no—
422C24—21no—
423C24—21no—
424C24—21no—
425C24—22no—
426C24—22no—
427C24—22no—
428C24—22no—
429C24C2×Dic612yes—
430C24C2×Dic612yes—
431C24C2×D1212yes—
432C24C2×D1212yes—
433C24C22×Dic312yes—
434C24C22×Dic312yes—
435C24C23×D311yescharacteristic
436C2×D4—44no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4C4⋊Dic3116yescomplemented
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—216no—
458C22×C4—34no—
459C22×C4—34no—
460C22×C4—44no—
461C22×C4—44no—
462C22×C4—44no—
463C22×C4—48no—
464C22×C4—62no—
465C22×C4—62no—
466C22×C4—62no—
467C22×C4—62no—
468C22×C4—62no—
469C22×C4—62no—
470C22×C4—62no—
471C22×C4—62no—
472C22×C4—62no—
473C22×C4—62no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—124no—
491C22×C4—128no—
492C22×C4—128no—
493C22×C4—124no—
494C22×C4—124no—
495C22×C4C2×Dic612yes—
496C22×C4C2×D1212yes—
497C22×C4D3×D414yes—
498C22×C4#23714yes—
499C22×C4C22×Dic314yes—
500C22×C4C22×Dic312yes—
501C22×C4C22×Dic314yes—
502C4⋊C4—128no—
503C4⋊C4—128no—
504C4⋊C4—124no—
505C4⋊C4—128no—
506C22⋊C4—216no—
507C22⋊C4—44no—
508C22⋊C4—128no—
509C22⋊C4—128no—
510C22⋊C4—128no—
511C22⋊C4—124no—
512C42—124no—
513C22×C3—24no—
514C22×C3—24no—
515C22×C3—28no—
516C22×C3—28no—
517C22×C3—44no—
518C22×C3—44no—
519C22×C3—42no—
520C22×C3—42no—
521C22×C3—42no—
522C22×C3—42no—
523C22×C3—42no—
524C22×C3—42no—
525C22×C3—44no—
526C22×C3—44no—
527C22×C3—42no—
528C22×C3—42no—
529C22×C3—44no—
530C22×C3—44no—
531C22×C3—42no—
532C22×C3—42no—
533C22×C3—42no—
534C22×C3—42no—
535C22×C3C22×C4⋊C411yescharacteristic
536C22×C3C2×C4×D412yes—
537C22×C3#51811yescharacteristic
538C22×C3#51811yescharacteristic
539C22×C3#52012yes—
540C22×C3#53411yescharacteristic
541C22×C3#53411yescharacteristic
542C22×C3#53512yes—
543C22×C3#53712yes—
544C22×C3#54012yes—
545C22×C3#54212yes—
546C22×C3#54311yescharacteristic
547C22×C3#54311yescharacteristic
548C22×C3D4212yes—
549C22×C3D4211yescharacteristic
550C22×C3#54612yes—
551C22×C3#54712yes—
552C22×C3D4×Q812yes—
553C22×C3#55111yescharacteristic
554C22×C3#55412yes—
555C22×C3#56011yescharacteristic
556C22×C3#56212yes—
557C22×C3#56311yescharacteristic
558C3×C4—24no—
559C3×C4—28no—
560C3×C4—44no—
561Dic3—44no—
562Dic3—44no—
563Dic3—82no—
564Dic3—82no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—42no—
594C23—42no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23C2×C4⋊Dic314yes—
610C23C2×C4⋊Dic314yes—
611C23C22×Dic611yescharacteristic
612C23C22×D1211yescharacteristic
613C23C2×D3×D412yes—
614C23C2×#23712yes—
615C23#100411yescharacteristic
616C23#100411yescharacteristic
617C23#100411yescharacteristic
618C23#100411yescharacteristic
619C23#100912yes—
620C23#101012yes—
621C23C23×Dic311yescharacteristic
622D4—416no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—416no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—64no—
644C2×C4—64no—
645C2×C4—64no—
646C2×C4—64no—
647C2×C4—64no—
648C2×C4—64no—
649C2×C4—1216no—
650C2×C4—122no—
651C2×C4—122no—
652C2×C4—122no—
653C2×C4—122no—
654C2×C4—122no—
655C2×C4—122no—
656C2×C4—122no—
657C2×C4—122no—
658C2×C4—122no—
659C2×C4—122no—
660C2×C4—122no—
661C2×C4—122no—
662C2×C4—122no—
663C2×C4—122no—
664C2×C4—122no—
665C2×C4—122no—
666C2×C4—122no—
667C2×C4—122no—
668C2×C4—122no—
669C2×C4—122no—
670C2×C4—122no—
671C2×C4—122no—
672C2×C4C2×C4⋊Dic314yes—
673C2×C4D4×Dic318yes—
674C2×C3—44no—
675C2×C3—44no—
676C2×C3#231511yescharacteristic
677C2×C3#232412yes—
678C2×C3D4×C4⋊C412yes—
679C2×C3#235811yescharacteristic
680C2×C3#237611yescharacteristic
681C2×C3#266911yescharacteristic
682C2×C3#267112yes—
683C2×C3#268311yescharacteristic
684C2×C3#269212yes—
685C2×C3#271711yescharacteristic
686C2×C3#274811yescharacteristic
687C22—28no—
688C22—28no—
689C22—24no—
690C22—24no—
691C22—44no—
692C22—44no—
693C22—42no—
694C22—42no—
695C22—44no—
696C22—44no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—44no—
708C22—44no—
709C22#548311yescharacteristic
710C22#548311yescharacteristic
711C22#549311yescharacteristic
712C22#549311yescharacteristic
713C22D4×Dic612yes—
714C22#554312yes—
715C22D4×D1212yes—
716C22#555512yes—
717C22#558711yescharacteristic
718C22#559011yescharacteristic
719C22#559112yes—
720C22#560312yes—
721C22#560712yes—
722C22#560812yes—
723C22#561912yes—
724C22#565111yescharacteristic
725C22#566611yescharacteristic
726C22#566712yes—
727C22C22×C4⋊Dic311yescharacteristic
728C22C2×D4×Dic312yes—
729C22#579811yescharacteristic
730C22#579811yescharacteristic
731C22#582712yes—
732C4—28no—
733C4—24no—
734C4—44no—
735C4—124no—
736C4—124no—
737C4—242no—
738C4—242no—
739C3#1440111yescharacteristic, complemented, Sylow
740C2—44no—
741C2—44no—
742C2#7479012yes—
743C2#7479511yescharacteristic
744C2#7480212yes—
745C2#7482511yescharacteristic
746C2#7483811yescharacteristic
747C2#7491211yescharacteristic
748C2#8209411yescharacteristic
749C2D4×C4⋊Dic312yes—
750C2#8257911yescharacteristic
751C2#8263312yes—
752C2#8284011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
FittingC2×C3×#386C2
socle, cosocleC24×C3C24
prime radicalC23×C3×D4C22
hypercenterC2×#386D3
hypocenterC3#14401
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
4. C2×#5212C2semidirect
5. C2×#4950C2semidirect
6. #71546C2semidirect
7. #71546C2semidirect
8. #69419C2semidirect
9. #69407C2semidirect
25. C3×#386C4semidirect
59. C23×C3×C4C2×C4semidirect
77. C2×C3×C22⋊C4C2×C4semidirect
105. C3×#95C2×C4semidirect
111. C3⋊#95D4semidirect
128. #386Dic3semidirect
167. C2×C3×D4C4⋊C4semidirect
260. C23×C4C2×Dic3semidirect
293. C2×C22⋊C4C2×Dic3semidirect
303. #95C2×Dic3semidirect
442. C2×D4C4⋊Dic3semidirect
739. C3#14401semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#3862
C2×#52212
C2×#52202
C2×#52122
C2×#49502
#715462
#694192
#694072
#144013