Finite Group Databasebeta

← #10729022

Subgroups — #10729022

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
1C22×#929C211yesmaximal, characteristic, complemented
2C23×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
3C22×#882C211yesmaximal, characteristic
4C2×C3×#381C211yesmaximal, characteristic, complemented
5C2×#4955C211yesmaximal, characteristic, complemented
6C2×#4958C211yesmaximal, characteristic, complemented
7#71544C211yesmaximal, characteristic, complemented
8#69428C214yesmaximal, 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
19C2×#929—24no—
20C2×#929—24no—
21C2×#929—24no—
22C22×(C2×D3)⋊C4—24no—
23C22×(C2×D3)⋊C4—24no—
24C22×(C2×D3)⋊C4—24no—
25C22×(C2×D3)⋊C4C2214yes—
26C22×(C2×D3)⋊C4C2212yes—
27C22×(C2×D3)⋊C4C2214yes—
28C22×(C2×D3)⋊C4C2212yescomplemented
29C22×(C2×D3)⋊C4C2212yescomplemented
30C22×Dic3⋊C4C2212yescomplemented
31C2×#882—24no—
32C2×#882—24no—
33C2×#882—24no—
34C3×#381—24no—
35C2×C3×#95C2214yescomplemented
36C2×C3⋊#95C2212yescomplemented
37C2×C3⋊#95C2214yescomplemented
38#4958—24no—
39#4955—24no—
40C22×#123—31no—
41C22×#120—31no—
42C23×C22⋊C4—31no—
43C2×#386—31no—
44C2×#381D311yescharacteristic, complemented
45C2×#379—31no—
46#1439—34no—
47#1438—34no—
48C22⋊#95—31no—
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—22no—
64C23×C3×C4—22no—
65C23×C3×C4—22no—
66C23×C3×C4—22no—
67C23×C3×C4D414yescomplemented
68C23×C3×C4C2312yes—
69C23×C3×C4C2312yes—
70C23×C3×C4C2312yes—
71C22×#67—22no—
72C22×#67—22no—
73C22×#67—22no—
74C22×#67—22no—
75C22×#67—22no—
76C22×#67—22no—
77C22×#67D414yes—
78C23×Dic3—22no—
79C23×Dic3—22no—
80C23×Dic3—44no—
81C23×Dic3D414yescomplemented
82C23×Dic3C2312yes—
83C23×Dic3C2311yescharacteristic
84C23×Dic3C2312yes—
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⋊C4—22no—
95C2×C3×C22⋊C4D414yes—
96C2×#217—22no—
97C2×#217—22no—
98C2×#217D414yescomplemented
99#929—232no—
100C2×(C2×D3)⋊C4—232no—
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—24no—
110C2×(C2×D3)⋊C4—28no—
111C2×(C2×D3)⋊C4—28no—
112C2×(C2×D3)⋊C4—24no—
113C2×(C2×D3)⋊C4—44no—
114C2×(C2×D3)⋊C4—44no—
115C2×Dic3⋊C4—24no—
116C2×Dic3⋊C4—24no—
117C2×Dic3⋊C4—24no—
118#882—232no—
119C3×#95—28no—
120C3⋊#95—24no—
121C3⋊#95—44no—
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—24no—
147#379—64no—
148C2×#95—32no—
149C2×#95—34no—
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—28no—
200C22×C3×C4—28no—
201C22×C3×C4—22no—
202C22×C3×C4—22no—
203C22×C3×C4—22no—
204C22×C3×C4—22no—
205C22×C3×C4—22no—
206C22×C3×C4—22no—
207C22×C3×C4—22no—
208C22×C3×C4—24no—
209C22×C3×C4—22no—
210C22×C3×C4—24no—
211C22×C3×C4—22no—
212C22×C3×C4—22no—
213C22×C3×C4—22no—
214C22×C3×C4—24no—
215C22×C3×C4—24no—
216C22×C3×C4—44no—
217C22×C3×C4—44no—
218C22×C3×C4—44no—
219C22×C3×C4—44no—
220C22×C3×C4C2×D414yes—
221C22×C3×C4C2×D414yes—
222C2×#67—28no—
223C2×#67—28no—
224C2×#67—28no—
225C2×#67—44no—
226C2×#67—44no—
227C2×#67—44no—
228C2×#67—44no—
229C22×Dic3—28no—
230C22×Dic3—21no—
231C22×Dic3—21no—
232C22×Dic3—21no—
233C22×Dic3—22no—
234C22×Dic3—22no—
235C22×Dic3—22no—
236C22×Dic3—22no—
237C22×Dic3—21no—
238C22×Dic3—21no—
239C22×Dic3—24no—
240C22×Dic3—21no—
241C22×Dic3—24no—
242C22×Dic3—24no—
243C22×Dic3—24no—
244C22×Dic3—48no—
245C22×Dic3—48no—
246C22×Dic3—48no—
247C22×Dic3C2×D414yes—
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—44no—
257#217—28no—
258(C2×D3)⋊C4—216no—
259(C2×D3)⋊C4—232no—
260(C2×D3)⋊C4—216no—
261(C2×D3)⋊C4—416no—
262(C2×D3)⋊C4—48no—
263Dic3⋊C4—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—22no—
291C23×C4—22no—
292C23×C4—22no—
293C23×C4—22no—
294C23×C4—32no—
295C23×C4—32no—
296C23×C4—31no—
297C23×C4—34no—
298C23×C4—62no—
299C23×C4—62no—
300C23×C4—124no—
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—22no—
315C2×C22⋊C4—34no—
316C2×C22⋊C4—68no—
317C2×C22⋊C4—64no—
318C2×C22⋊C4—64no—
319C2×C22⋊C4—68no—
320C2×C22⋊C4—64no—
321C2×C22⋊C4—64no—
322C2×C22⋊C4—632no—
323C2×C22⋊C4—62no—
324C2×C22⋊C4—62no—
325C2×C22⋊C4—68no—
326C2×C22⋊C4—64no—
327C2×C22⋊C4—64no—
328C2×C22⋊C4—68no—
329C2×C22⋊C4—64no—
330C2×C22⋊C4—68no—
331C2×C22⋊C4—124no—
332C2×C22⋊C4—124no—
333C2×C22⋊C4#6714yes—
334#95—28no—
335#95—64no—
336#95—124no—
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—28no—
417C2×C3×C4—42no—
418C2×C3×C4—42no—
419C2×C3×C4—42no—
420C2×C3×C4—42no—
421C2×C3×C4—42no—
422C2×C3×C4—42no—
423C2×C3×C4—44no—
424C2×C3×C4—416no—
425C2×C3×C4—42no—
426C2×C3×C4—42no—
427C2×C3×C4—42no—
428C2×C3×C4—44no—
429C2×C3×C4—44no—
430#67—416no—
431C2×Dic3—22no—
432C2×Dic3—24no—
433C2×Dic3—24no—
434C2×Dic3—22no—
435C2×Dic3—22no—
436C2×Dic3—24no—
437C2×Dic3—24no—
438C2×Dic3—28no—
439C2×Dic3—416no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—42no—
444C2×Dic3—41no—
445C2×Dic3—44no—
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—64no—
467C24—62no—
468C24—68no—
469C24—68no—
470C24—61no—
471C24—61no—
472C24—61no—
473C24—61no—
474C24—61no—
475C24—64no—
476C24—64no—
477C24—61no—
478C24—128no—
479C24—1216no—
480C24—1216no—
481C24—1216no—
482C24—1216no—
483C24—128no—
484C24—128no—
485C24—124no—
486C24—124no—
487C24—124no—
488C24—124no—
489C24C2×D1212yes—
490C24#23512yes—
491C24D3×D412yes—
492C24D3×D412yes—
493C24D3×D412yes—
494C24D3×D412yes—
495C24C2×#6712yes—
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—28no—
511C22×C4—28no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—24no—
525C22×C4—24no—
526C22×C4—22no—
527C22×C4—34no—
528C22×C4—34no—
529C22×C4—32no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—68no—
535C22×C4—62no—
536C22×C4—62no—
537C22×C4—61no—
538C22×C4—61no—
539C22×C4—61no—
540C22×C4—62no—
541C22×C4—62no—
542C22×C4—61no—
543C22×C4—61no—
544C22×C4—64no—
545C22×C4—64no—
546C22×C4—64no—
547C22×C4—64no—
548C22×C4—61no—
549C22×C4—128no—
550C22×C4—128no—
551C22×C4—128no—
552C22×C4C2×D1214yes—
553C22×C4C2×#6714yes—
554C4⋊C4—616no—
555C22⋊C4—28no—
556C22⋊C4—44no—
557C22⋊C4—632no—
558C22⋊C4—616no—
559C22⋊C4—616no—
560C22⋊C4—68no—
561C22⋊C4—1216no—
562C22⋊C4—128no—
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—82no—
613Dic3—44no—
614Dic3—42no—
615Dic3—44no—
616C23—24no—
617C23—24no—
618C23—24no—
619C23—28no—
620C23—28no—
621C23—24no—
622C23—24no—
623C23—24no—
624C23—28no—
625C23—28no—
626C23—38no—
627C23—632no—
628C23—64no—
629C23—64no—
630C23—64no—
631C23—68no—
632C23—68no—
633C23—68no—
634C23—64no—
635C23—64no—
636C23—68no—
637C23—68no—
638C23—64no—
639C23—68no—
640C23—68no—
641C23—62no—
642C23—62no—
643C23—62no—
644C23—1232no—
645C23—1232no—
646C23—1232no—
647C23—1232no—
648C23—1232no—
649C23—1216no—
650C23—1232no—
651C23—124no—
652C23—124no—
653C23—124no—
654C23—1216no—
655C23—122no—
656C23—122no—
657C23—124no—
658C23—124no—
659C23—122no—
660C23—122no—
661C23—124no—
662C23—122no—
663C23—122no—
664C23—122no—
665C23—124no—
666C23—122no—
667C23—121no—
668C23—121no—
669C23—122no—
670C23—122no—
671C23—124no—
672C23—121no—
673C23—121no—
674C23—124no—
675C23#88214yes—
676C23#88214yes—
677C23#88414yes—
678C23#88414yes—
679C23#93014yes—
680C23#93714yes—
681C23#94014yes—
682C23C22×D1211yescharacteristic
683C23C2×#23511yescharacteristic
684C23C2×D3×D411yescharacteristic
685C23C2×D3×D411yescharacteristic
686C23C2×D3×D411yescharacteristic
687C23C2×D3×D411yescharacteristic
688C23D3×#4114yes—
689C23#100914yes—
690C23C22×#6711yescharacteristic
691D4—1232no—
692D4—1216no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—28no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—416no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—64no—
712C2×C4—64no—
713C2×C4—68no—
714C2×C4—64no—
715C2×C4—64no—
716C2×C4—62no—
717C2×C4—62no—
718C2×C4—62no—
719C2×C4—1216no—
720C2×C4—124no—
721C2×C4—124no—
722C2×C4—121no—
723C2×C4—121no—
724C2×C4—122no—
725C2×C4—124no—
726C2×C4—122no—
727C2×C4—121no—
728C2×C4—121no—
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—28no—
745C22—24no—
746C22—24no—
747C22—28no—
748C22—28no—
749C22—68no—
750C22—68no—
751C22—68no—
752C22—1264no—
753C22—128no—
754C22—128no—
755C22—124no—
756C22—128no—
757C22—124no—
758C22—124no—
759C22—124no—
760C22—128no—
761C22—124no—
762C22—124no—
763C22—122no—
764C22—124no—
765C22—242no—
766C22—242no—
767C22—241no—
768C22—241no—
769C22—242no—
770C22#496018yes—
771C22C2×#88211yescharacteristic
772C22C2×#88211yescharacteristic
773C22C2×#88411yescharacteristic
774C22C2×#88411yescharacteristic
775C22#552412yes—
776C22#552512yes—
777C22#552714yes—
778C22D3×#12312yes—
779C22#565312yes—
780C22#565312yes—
781C22#565414yes—
782C22#565414yes—
783C22#565612yes—
784C22C2×#93011yescharacteristic
785C22C2×#93711yescharacteristic
786C22C2×#94011yescharacteristic
787C22#582914yes—
788C4—44no—
789C4—44no—
790C4—82no—
791C4—124no—
792C4—124no—
793C4—122no—
794C3#1491111yescharacteristic, complemented, Sylow
795C2—28no—
796C2—128no—
797C2—242no—
798C2#7412512yes—
799C2#7412612yes—
800C2#7413112yes—
801C2#7413411yescharacteristic
802C2#7414611yescharacteristic
803C2C2×#496011yescharacteristic
804C2#8227512yes—
805C2#8289312yes—
806C2#8290112yes—
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC2×C3×#381C2
prime radicalC22×#882C2
hypercenterC2×#381D3
hypocenterC3#14911
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#381

Complements

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

NH ≅ G/Ntype
1. C22×#929C2semidirect
2. C23×(C2×D3)⋊C4C2semidirect
4. C2×C3×#381C2semidirect
5. C2×#4955C2semidirect
6. C2×#4958C2semidirect
7. #71544C2semidirect
8. #69428C2semidirect
9. #69426C2semidirect
28. C22×(C2×D3)⋊C4C22semidirect
29. C22×(C2×D3)⋊C4C22semidirect
30. C22×Dic3⋊C4C22semidirect
35. C2×C3×#95C22semidirect
36. C2×C3⋊#95C22semidirect
37. C2×C3⋊#95C22semidirect
44. C2×#381D3semidirect
67. C23×C3×C4D4semidirect
81. C23×Dic3D4semidirect
98. C2×#217D4semidirect
150. C2×#95C2×D3semidirect
301. C23×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
C22×#9292
C23×(C2×D3)⋊C42
C22×#8822
C2×C3×#3812
C2×#49552
C2×#49582
#715442
#694282
#694262
#149113