Finite Group Databasebeta

← #10729024

Subgroups — #10729024

Order 768.

4146 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
2C22×#882C211yesmaximal, characteristic
3C22×#886C211yesmaximal, characteristic, complemented
4C2×#5213C211yesmaximal, characteristic, complemented
5C2×#4955C211yesmaximal, characteristic, complemented
6C2×#4943C211yesmaximal, characteristic, complemented
7C3×C22⋊#95C211yesmaximal, characteristic, complemented
8#69427C214yesmaximal, complemented
9#69426C214yesmaximal, complemented
10#14911—31nomaximal, Sylow
11C25×D3C2211yescharacteristic
12C24×C3×C4C2211yescharacteristic
13C23×#67C2211yescharacteristic
14C24×Dic3C2211yescharacteristic
15C23×D12C2212yes—
16C22×C3×C22⋊C4C2211yescharacteristic
17C22×C3×C22⋊C4C2211yescharacteristic
18C22×#217C2211yescharacteristic
19C22×(C2×D3)⋊C4—24no—
20C22×(C2×D3)⋊C4—24no—
21C22×(C2×D3)⋊C4—24no—
22C22×(C2×D3)⋊C4C2214yes—
23C22×(C2×D3)⋊C4C2212yes—
24C22×(C2×D3)⋊C4C2214yes—
25C22×(C2×D3)⋊C4C2212yescomplemented
26C22×(C2×D3)⋊C4C2212yescomplemented
27C22×C4⋊Dic3C2212yescomplemented
28C2×#886—24no—
29C2×#886—24no—
30C2×#886—24no—
31C2×#882—24no—
32C2×#882—24no—
33C2×#882—24no—
34C2×C3×#95C2214yescomplemented
35#5213—24no—
36C2×C3⋊#95C2214yescomplemented
37C2×C3⋊#95C2212yescomplemented
38#4955—24no—
39#4943—24no—
40C22×#123—31no—
41C22×#120—31no—
42C23×C22⋊C4—31no—
43C2×#386—31no—
44C2×#381—31no—
45C2×#379—31no—
46#1439—34no—
47#1438—34no—
48C22⋊#95D311yescharacteristic, complemented
49C25×C3C2311yescharacteristic
50C24×D3—22no—
51C24×D3—22no—
52C24×D3—28no—
53C24×D3—22no—
54C24×D3—22no—
55C24×D3—22no—
56C24×D3—22no—
57C24×D3—44no—
58C24×D3D414yes—
59C24×D3C2311yescharacteristic
60C24×D3C2312yes—
61C23×C3×C4—22no—
62C23×C3×C4—22no—
63C23×C3×C4—44no—
64C23×C3×C4D414yescomplemented
65C23×C3×C4C2312yes—
66C23×C3×C4C2312yes—
67C23×C3×C4C2312yes—
68C22×#67—22no—
69C22×#67—22no—
70C22×#67—22no—
71C22×#67—22no—
72C22×#67—22no—
73C22×#67—22no—
74C22×#67D414yes—
75C23×Dic3—22no—
76C23×Dic3—22no—
77C23×Dic3—22no—
78C23×Dic3—22no—
79C23×Dic3—22no—
80C23×Dic3—22no—
81C23×Dic3D414yescomplemented
82C23×Dic3C2312yes—
83C23×Dic3C2312yes—
84C23×Dic3C2311yescharacteristic
85C22×D12—24no—
86C22×D12—24no—
87C22×D12—24no—
88C22×D12—28no—
89C22×D12—44no—
90C2×C3×C22⋊C4—22no—
91C2×C3×C22⋊C4—22no—
92C2×C3×C22⋊C4—22no—
93C2×C3×C22⋊C4—22no—
94C2×C3×C22⋊C4D414yes—
95C2×C3×C22⋊C4D414yescomplemented
96C2×#217—22no—
97C2×#217—22no—
98C2×#217—22no—
99C2×(C2×D3)⋊C4—232no—
100C2×(C2×D3)⋊C4—24no—
101C2×(C2×D3)⋊C4—24no—
102C2×(C2×D3)⋊C4—28no—
103C2×(C2×D3)⋊C4—24no—
104C2×(C2×D3)⋊C4—24no—
105C2×(C2×D3)⋊C4—28no—
106C2×(C2×D3)⋊C4—24no—
107C2×(C2×D3)⋊C4—24no—
108C2×(C2×D3)⋊C4—28no—
109C2×(C2×D3)⋊C4—28no—
110C2×(C2×D3)⋊C4—28no—
111C2×(C2×D3)⋊C4—24no—
112C2×(C2×D3)⋊C4—44no—
113C2×(C2×D3)⋊C4—44no—
114C2×C4⋊Dic3—24no—
115C2×C4⋊Dic3—24no—
116C2×C4⋊Dic3—24no—
117#886—232no—
118#882—232no—
119C3×#95—44no—
120C3⋊#95—28no—
121C3⋊#95—24no—
122C26—31no—
123C23×D4—31no—
124C23×D4—32no—
125C24×C4—31no—
126C24×C4C2×D311yescharacteristic
127C2×#123—64no—
128C2×#123—64no—
129C2×#123—64no—
130C2×#120—64no—
131C2×#120—64no—
132C2×#120—64no—
133C22×C4⋊C4—32no—
134C22×C22⋊C4—31no—
135C22×C22⋊C4—34no—
136C22×C22⋊C4—32no—
137C22×C22⋊C4—32no—
138C22×C22⋊C4—34no—
139C22×C22⋊C4—32no—
140C22×C22⋊C4—64no—
141C22×C22⋊C4—64no—
142C22×C22⋊C4—64no—
143C22×C22⋊C4C2×D311yescharacteristic
144C22×C22⋊C4C2×D311yescharacteristic
145#386—64no—
146#381—64no—
147#379—64no—
148C2×#95—34no—
149C2×#95—32no—
150C2×#95C2×D314yescomplemented
151C24×C3—24no—
152C24×C3—24no—
153C24×C3C2×D412yes—
154C24×C3C2×D412yes—
155C24×C3C2×D412yes—
156C24×C3C2×D412yes—
157C24×C3C2×D412yes—
158C24×C3C2×D412yes—
159C24×C3#4112yes—
160C24×C3C2411yescharacteristic
161C23×D3—216no—
162C23×D3—216no—
163C23×D3—28no—
164C23×D3—22no—
165C23×D3—22no—
166C23×D3—22no—
167C23×D3—22no—
168C23×D3—22no—
169C23×D3—22no—
170C23×D3—24no—
171C23×D3—24no—
172C23×D3—24no—
173C23×D3—216no—
174C23×D3—28no—
175C23×D3—28no—
176C23×D3—21no—
177C23×D3—21no—
178C23×D3—21no—
179C23×D3—21no—
180C23×D3—21no—
181C23×D3—24no—
182C23×D3—21no—
183C23×D3—24no—
184C23×D3—48no—
185C23×D3—416no—
186C23×D3—416no—
187C23×D3—416no—
188C23×D3—416no—
189C23×D3—48no—
190C23×D3—48no—
191C23×D3—44no—
192C23×D3—44no—
193C23×D3—44no—
194C23×D3—44no—
195C23×D3C2×D412yes—
196C23×D3C2×D414yes—
197C23×D3#4118yes—
198C22×C3×C4—28no—
199C22×C3×C4—22no—
200C22×C3×C4—22no—
201C22×C3×C4—22no—
202C22×C3×C4—22no—
203C22×C3×C4—22no—
204C22×C3×C4—22no—
205C22×C3×C4—24no—
206C22×C3×C4—24no—
207C22×C3×C4—24no—
208C22×C3×C4—24no—
209C22×C3×C4—24no—
210C22×C3×C4—24no—
211C22×C3×C4—48no—
212C22×C3×C4—48no—
213C22×C3×C4—48no—
214C22×C3×C4C2×D414yes—
215C22×C3×C4C2×D414yes—
216C22×C3×C4C2×D414yes—
217C2×#67—28no—
218C2×#67—28no—
219C2×#67—28no—
220C2×#67—44no—
221C2×#67—44no—
222C2×#67—44no—
223C2×#67—44no—
224C22×Dic3—28no—
225C22×Dic3—28no—
226C22×Dic3—28no—
227C22×Dic3—22no—
228C22×Dic3—21no—
229C22×Dic3—21no—
230C22×Dic3—21no—
231C22×Dic3—22no—
232C22×Dic3—22no—
233C22×Dic3—22no—
234C22×Dic3—22no—
235C22×Dic3—21no—
236C22×Dic3—21no—
237C22×Dic3—22no—
238C22×Dic3—21no—
239C22×Dic3—22no—
240C22×Dic3—22no—
241C22×Dic3—22no—
242C22×Dic3—24no—
243C22×Dic3—24no—
244C22×Dic3—44no—
245C22×Dic3—44no—
246C22×Dic3—44no—
247C22×Dic3—44no—
248C22×Dic3C2×D412yes—
249C22×Dic3C2×D414yes—
250C2×D12—216no—
251C2×D12—416no—
252C2×D12—416no—
253C2×D12—48no—
254C2×D12—48no—
255C3×C22⋊C4—28no—
256C3×C22⋊C4—28no—
257#217—44no—
258(C2×D3)⋊C4—216no—
259(C2×D3)⋊C4—216no—
260(C2×D3)⋊C4—232no—
261(C2×D3)⋊C4—416no—
262(C2×D3)⋊C4—48no—
263C4⋊Dic3—216no—
264C25—32no—
265C25—31no—
266C25—34no—
267C25—68no—
268C25—62no—
269C25—62no—
270C25—62no—
271C25—62no—
272C25—62no—
273C25—62no—
274C25—124no—
275C25C22×D311yescharacteristic
276C22×D4—34no—
277C22×D4—64no—
278C22×D4—64no—
279C22×D4—68no—
280C22×D4—62no—
281C22×D4—62no—
282C22×D4—62no—
283C22×D4—62no—
284C22×D4—62no—
285C22×D4—62no—
286C22×D4—64no—
287C22×D4—124no—
288C23×C4—22no—
289C23×C4—22no—
290C23×C4—34no—
291C23×C4—32no—
292C23×C4—31no—
293C23×C4—32no—
294C23×C4—44no—
295C23×C4—62no—
296C23×C4—62no—
297C23×C4—62no—
298C23×C4—62no—
299C23×C4—62no—
300C23×C4—62no—
301C23×C4D1214yescomplemented
302C23×C4C22×D312yes—
303C23×C4C22×D312yes—
304C23×C4C22×D312yes—
305#123—632no—
306#120—632no—
307C2×C4⋊C4—64no—
308C2×C4⋊C4—64no—
309C2×C4⋊C4—64no—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—22no—
312C2×C22⋊C4—22no—
313C2×C22⋊C4—22no—
314C2×C22⋊C4—68no—
315C2×C22⋊C4—64no—
316C2×C22⋊C4—64no—
317C2×C22⋊C4—68no—
318C2×C22⋊C4—64no—
319C2×C22⋊C4—64no—
320C2×C22⋊C4—632no—
321C2×C22⋊C4—68no—
322C2×C22⋊C4—64no—
323C2×C22⋊C4—64no—
324C2×C22⋊C4—68no—
325C2×C22⋊C4—62no—
326C2×C22⋊C4—62no—
327C2×C22⋊C4—62no—
328C2×C22⋊C4—68no—
329C2×C22⋊C4—64no—
330C2×C22⋊C4—124no—
331C2×C22⋊C4—124no—
332C2×C22⋊C4D1214yes—
333C2×C22⋊C4D1214yescomplemented
334#95—44no—
335#95—68no—
336#95—64no—
337C23×C3—24no—
338C23×C3—24no—
339C23×C3—24no—
340C23×C3—24no—
341C23×C3—24no—
342C23×C3—24no—
343C23×C3—28no—
344C23×C3—28no—
345C23×C3—28no—
346C23×C3—28no—
347C23×C3#12014yes—
348C23×C3#12014yes—
349C23×C3#12014yes—
350C23×C3#12114yes—
351C23×C3#12114yes—
352C23×C3#12114yes—
353C23×C3#12714yes—
354C23×C3C22×D411yescharacteristic
355C23×C3C22×D411yescharacteristic
356C23×C3C22×D411yescharacteristic
357C23×C3C22×D411yescharacteristic
358C23×C3C22×D411yescharacteristic
359C23×C3C22×D411yescharacteristic
360C23×C3C2×#4111yescharacteristic
361C23×C3C2×#4114yes—
362C23×C3H(5,𝔽2)14yes—
363C22×D3—232no—
364C22×D3—24no—
365C22×D3—24no—
366C22×D3—24no—
367C22×D3—24no—
368C22×D3—28no—
369C22×D3—28no—
370C22×D3—24no—
371C22×D3—24no—
372C22×D3—28no—
373C22×D3—28no—
374C22×D3—28no—
375C22×D3—28no—
376C22×D3—22no—
377C22×D3—22no—
378C22×D3—22no—
379C22×D3—28no—
380C22×D3—432no—
381C22×D3—432no—
382C22×D3—416no—
383C22×D3—432no—
384C22×D3—432no—
385C22×D3—432no—
386C22×D3—432no—
387C22×D3—42no—
388C22×D3—42no—
389C22×D3—42no—
390C22×D3—42no—
391C22×D3—44no—
392C22×D3—44no—
393C22×D3—44no—
394C22×D3—44no—
395C22×D3—44no—
396C22×D3—44no—
397C22×D3—416no—
398C22×D3—41no—
399C22×D3—41no—
400C22×D3—41no—
401C22×D3—42no—
402C22×D3—42no—
403C22×D3—42no—
404C22×D3—41no—
405C22×D3—42no—
406C22×D3—42no—
407C22×D3—42no—
408C22×D3—44no—
409C22×D3—44no—
410C22×D3—44no—
411C22×D3#12318yescomplemented
412C2×C3×C4—24no—
413C2×C3×C4—24no—
414C2×C3×C4—24no—
415C2×C3×C4—24no—
416C2×C3×C4—24no—
417C2×C3×C4—28no—
418C2×C3×C4—28no—
419C2×C3×C4—416no—
420C2×C3×C4—42no—
421C2×C3×C4—42no—
422C2×C3×C4—42no—
423C2×C3×C4—44no—
424C2×C3×C4—42no—
425C2×C3×C4—44no—
426C2×C3×C4—44no—
427C2×C3×C4—44no—
428#67—416no—
429C2×Dic3—22no—
430C2×Dic3—24no—
431C2×Dic3—24no—
432C2×Dic3—22no—
433C2×Dic3—24no—
434C2×Dic3—22no—
435C2×Dic3—42no—
436C2×Dic3—41no—
437C2×Dic3—42no—
438C2×Dic3—42no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—42no—
442C2×Dic3—41no—
443C2×Dic3—416no—
444C2×Dic3—42no—
445C2×Dic3—42no—
446C2×Dic3—42no—
447C2×Dic3—44no—
448C2×Dic3—44no—
449D12—432no—
450C24—24no—
451C24—24no—
452C24—34no—
453C24—38no—
454C24—32no—
455C24—616no—
456C24—616no—
457C24—616no—
458C24—68no—
459C24—62no—
460C24—62no—
461C24—62no—
462C24—62no—
463C24—62no—
464C24—64no—
465C24—64no—
466C24—62no—
467C24—64no—
468C24—68no—
469C24—68no—
470C24—61no—
471C24—61no—
472C24—61no—
473C24—61no—
474C24—61no—
475C24—64no—
476C24—61no—
477C24—64no—
478C24—128no—
479C24—1216no—
480C24—1216no—
481C24—1216no—
482C24—1216no—
483C24—128no—
484C24—128no—
485C24—124no—
486C24—124no—
487C24—124no—
488C24—124no—
489C24C2×D1212yes—
490C24C2×D1212yes—
491C24C2×D1212yes—
492C24D3×D412yes—
493C24D3×D412yes—
494C24D3×D412yes—
495C24#23912yes—
496C24C23×D311yescharacteristic
497C2×D4—616no—
498C2×D4—68no—
499C2×D4—68no—
500C2×D4—68no—
501C2×D4—1216no—
502C2×D4—128no—
503C2×D4—1216no—
504C2×D4—128no—
505C2×D4—124no—
506C2×D4—124no—
507C2×D4—124no—
508C2×D4—124no—
509C22×C4—28no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—24no—
522C22×C4—34no—
523C22×C4—32no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—68no—
528C22×C4—68no—
529C22×C4—68no—
530C22×C4—62no—
531C22×C4—61no—
532C22×C4—62no—
533C22×C4—61no—
534C22×C4—62no—
535C22×C4—61no—
536C22×C4—62no—
537C22×C4—61no—
538C22×C4—62no—
539C22×C4—61no—
540C22×C4—62no—
541C22×C4—61no—
542C22×C4—62no—
543C22×C4—62no—
544C22×C4—62no—
545C22×C4—64no—
546C22×C4—64no—
547C22×C4—124no—
548C22×C4—124no—
549C22×C4—124no—
550C22×C4—124no—
551C22×C4C2×D1214yes—
552C22×C4C2×D1214yes—
553C22×C4C2×D1214yes—
554C4⋊C4—616no—
555C22⋊C4—28no—
556C22⋊C4—28no—
557C22⋊C4—632no—
558C22⋊C4—616no—
559C22⋊C4—616no—
560C22⋊C4—1216no—
561C22⋊C4—128no—
562C22⋊C4—124no—
563C22×C3—24no—
564C22×C3—24no—
565C22×C3—28no—
566C22×C3—28no—
567C22×C3—28no—
568C22×C3—28no—
569C22×C3—28no—
570C22×C3—28no—
571C22×C3#39218yes—
572C22×C3C2×#12011yescharacteristic
573C22×C3C2×#12011yescharacteristic
574C22×C3C2×#12011yescharacteristic
575C22×C3C2×#12111yescharacteristic
576C22×C3C2×#12111yescharacteristic
577C22×C3C2×#12111yescharacteristic
578C22×C3C2×#12312yes—
579C22×C3#52512yes—
580C22×C3#52512yes—
581C22×C3C2×#12711yescharacteristic
582C22×C3#53412yes—
583C22×C3#53412yes—
584C22×C3#53512yes—
585C22×C3#54614yes—
586C22×C3#54614yes—
587C22×C3#54614yes—
588C22×C3#55114yes—
589C2×D3—28no—
590C2×D3—28no—
591C2×D3—28no—
592C2×D3—464no—
593C2×D3—44no—
594C2×D3—44no—
595C2×D3—48no—
596C2×D3—44no—
597C2×D3—48no—
598C2×D3—44no—
599C2×D3—48no—
600C2×D3—48no—
601C2×D3—42no—
602C2×D3—44no—
603C2×D3—44no—
604C2×D3—44no—
605C2×D3—81no—
606C2×D3—81no—
607C2×D3—82no—
608C2×D3—82no—
609C2×D3—82no—
610C3×C4—44no—
611C3×C4—44no—
612C3×C4—44no—
613Dic3—44no—
614Dic3—42no—
615Dic3—82no—
616C23—28no—
617C23—24no—
618C23—24no—
619C23—24no—
620C23—24no—
621C23—28no—
622C23—28no—
623C23—24no—
624C23—24no—
625C23—28no—
626C23—38no—
627C23—632no—
628C23—68no—
629C23—64no—
630C23—68no—
631C23—64no—
632C23—64no—
633C23—64no—
634C23—68no—
635C23—68no—
636C23—68no—
637C23—64no—
638C23—64no—
639C23—68no—
640C23—62no—
641C23—62no—
642C23—62no—
643C23—68no—
644C23—1232no—
645C23—1232no—
646C23—1232no—
647C23—1232no—
648C23—1232no—
649C23—1216no—
650C23—1232no—
651C23—124no—
652C23—1216no—
653C23—122no—
654C23—122no—
655C23—124no—
656C23—122no—
657C23—122no—
658C23—124no—
659C23—124no—
660C23—124no—
661C23—124no—
662C23—124no—
663C23—122no—
664C23—122no—
665C23—121no—
666C23—121no—
667C23—122no—
668C23—121no—
669C23—121no—
670C23—122no—
671C23—124no—
672C23—124no—
673C23—122no—
674C23—122no—
675C23#87414yes—
676C23#88214yes—
677C23#88214yes—
678C23#88214yes—
679C23#89514yes—
680C23#89514yes—
681C23#89514yes—
682C23C22×D1211yescharacteristic
683C23C22×D1211yescharacteristic
684C23C22×D1211yescharacteristic
685C23C2×D3×D411yescharacteristic
686C23C2×D3×D411yescharacteristic
687C23C2×D3×D411yescharacteristic
688C23#100414yes—
689C23C2×#23911yescharacteristic
690C23D3×#4114yes—
691D4—1232no—
692D4—1216no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—28no—
699C2×C4—28no—
700C2×C4—416no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—64no—
710C2×C4—62no—
711C2×C4—64no—
712C2×C4—62no—
713C2×C4—64no—
714C2×C4—62no—
715C2×C4—1216no—
716C2×C4—122no—
717C2×C4—121no—
718C2×C4—122no—
719C2×C4—121no—
720C2×C4—122no—
721C2×C4—122no—
722C2×C4—121no—
723C2×C4—121no—
724C2×C4—122no—
725C2×C4—122no—
726C2×C4—122no—
727C2×C4—124no—
728C2×C4—124no—
729C2×C3—28no—
730C2×C3C2×#39211yescharacteristic
731C2×C3#240412yes—
732C2×C3#240512yes—
733C2×C3#241112yes—
734C2×C3#241212yes—
735C2×C3#253412yes—
736C2×C3#253912yes—
737C2×C3#261311yescharacteristic
738C2×C3#284911yescharacteristic
739D3—48no—
740D3—82no—
741C22—28no—
742C22—28no—
743C22—28no—
744C22—24no—
745C22—28no—
746C22—24no—
747C22—28no—
748C22—28no—
749C22—68no—
750C22—68no—
751C22—68no—
752C22—1264no—
753C22—128no—
754C22—128no—
755C22—128no—
756C22—124no—
757C22—128no—
758C22—124no—
759C22—124no—
760C22—124no—
761C22—124no—
762C22—124no—
763C22—122no—
764C22—124no—
765C22—242no—
766C22—242no—
767C22—241no—
768C22—241no—
769C22—242no—
770C22#467118yes—
771C22C2×#87411yescharacteristic
772C22C2×#88211yescharacteristic
773C22C2×#88211yescharacteristic
774C22C2×#88211yescharacteristic
775C22#549312yes—
776C22C2×#89511yescharacteristic
777C22C2×#89511yescharacteristic
778C22C2×#89511yescharacteristic
779C22#552412yes—
780C22#555414yes—
781C22#555414yes—
782C22#558912yes—
783C22#559212yes—
784C22#561014yes—
785C22#563714yes—
786C22D3×#12312yes—
787C22#565612yes—
788C4—44no—
789C4—44no—
790C4—44no—
791C4—124no—
792C4—122no—
793C4—242no—
794C3#1491111yescharacteristic, complemented, Sylow
795C2—28no—
796C2—128no—
797C2—242no—
798C2C2×#467111yescharacteristic
799C2#7359712yes—
800C2#7385511yescharacteristic
801C2#7402912yes—
802C2#7414611yescharacteristic
803C2#7440612yes—
804C2#7460212yes—
805C2#7468612yes—
806C2#7488512yes—
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×C22⋊#95C2
prime radicalC22×#882C2
hypercenterC22⋊#95D3
hypocenterC3#14911
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
1. C23×(C2×D3)⋊C4C2semidirect
3. C22×#886C2semidirect
4. C2×#5213C2semidirect
5. C2×#4955C2semidirect
6. C2×#4943C2semidirect
7. C3×C22⋊#95C2semidirect
8. #69427C2semidirect
9. #69426C2semidirect
25. C22×(C2×D3)⋊C4C22semidirect
26. C22×(C2×D3)⋊C4C22semidirect
27. C22×C4⋊Dic3C22semidirect
34. C2×C3×#95C22semidirect
36. C2×C3⋊#95C22semidirect
37. C2×C3⋊#95C22semidirect
48. C22⋊#95D3semidirect
64. C23×C3×C4D4semidirect
81. C23×Dic3D4semidirect
95. C2×C3×C22⋊C4D4semidirect
150. C2×#95C2×D3semidirect
301. C23×C4D12semidirect
333. C2×C22⋊C4D12semidirect
411. C22×D3#123semidirect
794. C3#14911semidirect

Maximal subgroups

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

subgroupindex
C23×(C2×D3)⋊C42
C22×#8822
C22×#8862
C2×#52132
C2×#49552
C2×#49432
C3×C22⋊#952
#694272
#694262
#149113