Finite Group Databasebeta

← #10732513

Subgroups — #10732513

Order 768.

2878 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#897C211yesmaximal, characteristic, complemented
2C22×#895C211yesmaximal, characteristic
3C22×#875C211yesmaximal, characteristic, complemented
4C2×#4973C211yesmaximal, characteristic, complemented
5C2×#4988C211yesmaximal, characteristic, complemented
6C2×C4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
7C3×C4⋊#95C211yesmaximal, characteristic, complemented
8#69427C214yesmaximal, complemented
9#69426C214yesmaximal, complemented
10#15215—31nomaximal, Sylow
11C23×D12C2211yescharacteristic
12C23×D12C2212yes—
13C23×C4×D3C2211yescharacteristic
14C23×Dic6C2211yescharacteristic
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×C3×C4⋊C4C2211yescharacteristic
17C22×C3×C42C2211yescharacteristic
18C22×(C2×D3)⋊C4C2212yes—
19C22×(C2×D3)⋊C4C2212yes—
20C22×(C2×D3)⋊C4C2214yes—
21C22×(C2×D3)⋊C4C2212yes—
22C22×(C2×D3)⋊C4C2214yes—
23C22×C4⋊Dic3C2212yes—
24C22×C4×Dic3C2211yescharacteristic
25C2×#897—24no—
26C2×#897—24no—
27C2×#897—24no—
28C2×#895—24no—
29C2×#895—24no—
30C2×#895—24no—
31C2×#875—24no—
32C2×#875—24no—
33C2×#875—24no—
34C2×C3×#95C2214yes—
35C2×C3⋊#95C2214yes—
36C2×C3⋊#95C2212yes—
37#4988—24no—
38#4973—24no—
39C4×(C2×D3)⋊C4—24no—
40C22×#124—31no—
41C22×C22⋊Q8—31no—
42C22×#121—31no—
43C2×#391—31no—
44C2×#390—31no—
45C2×C4×C22⋊C4—31no—
46#1439—34no—
47#1438—34no—
48C4⋊#95D311yescharacteristic, complemented
49C24×D3C2312yes—
50C24×D3C2311yescharacteristic
51C23×C3×C4C2312yes—
52C23×C3×C4C2312yes—
53C23×C3×C4C2312yes—
54C23×C3×C4C2311yescharacteristic
55C23×Dic3C2312yes—
56C23×Dic3C2311yescharacteristic
57C23×Dic3C2312yes—
58C22×D12—24no—
59C22×D12—24no—
60C22×D12—22no—
61C22×D12—22no—
62C22×D12—22no—
63C22×D12—24no—
64C22×D12—22no—
65C22×D12—22no—
66C22×D12—22no—
67C22×D12—28no—
68C22×D12—44no—
69C22×D12D414yes—
70C22×C4×D3—22no—
71C22×C4×D3—22no—
72C22×C4×D3—22no—
73C22×C4×D3—22no—
74C22×C4×D3—22no—
75C22×C4×D3—22no—
76C22×C4×D3D414yes—
77C22×Dic6—22no—
78C22×Dic6—22no—
79C22×Dic6—22no—
80C22×Dic6—22no—
81C22×Dic6—22no—
82C22×Dic6—22no—
83C22×Dic6D414yescomplemented
84C2×C3×C4⋊C4—22no—
85C2×C3×C4⋊C4—22no—
86C2×C3×C4⋊C4—22no—
87C2×C3×C4⋊C4—22no—
88C2×C3×C4⋊C4D414yes—
89C2×C3×C4⋊C4D414yescomplemented
90C2×C3×C42—22no—
91C2×C3×C42—22no—
92C2×C3×C42D414yescomplemented
93C2×(C2×D3)⋊C4—28no—
94C2×(C2×D3)⋊C4—24no—
95C2×(C2×D3)⋊C4—24no—
96C2×(C2×D3)⋊C4—24no—
97C2×(C2×D3)⋊C4—24no—
98C2×(C2×D3)⋊C4—28no—
99C2×(C2×D3)⋊C4—24no—
100C2×(C2×D3)⋊C4—24no—
101C2×(C2×D3)⋊C4—28no—
102C2×(C2×D3)⋊C4—24no—
103C2×(C2×D3)⋊C4—24no—
104C2×(C2×D3)⋊C4—24no—
105C2×(C2×D3)⋊C4—28no—
106C2×(C2×D3)⋊C4—28no—
107C2×(C2×D3)⋊C4—44no—
108C2×C4⋊Dic3—24no—
109C2×C4⋊Dic3—24no—
110C2×C4⋊Dic3—24no—
111C2×C4×Dic3—22no—
112C2×C4×Dic3—22no—
113C2×C4×Dic3—22no—
114#897—232no—
115#895—232no—
116#875—232no—
117C3×#95—44no—
118C3⋊#95—24no—
119C3⋊#95—28no—
120C23×Q8—31no—
121C23×D4—31no—
122C23×D4—32no—
123C24×C4—31no—
124C2×#124—64no—
125C2×#124—64no—
126C2×#124—64no—
127C2×C22⋊Q8—64no—
128C2×C22⋊Q8—64no—
129C2×C22⋊Q8—64no—
130C2×#121—64no—
131C2×#121—64no—
132C2×#121—64no—
133C22×C4⋊C4—32no—
134C22×C4⋊C4C2×D311yescharacteristic
135C22×C4⋊C4C2×D311yescharacteristic
136C22×C22⋊C4—32no—
137C22×C22⋊C4—32no—
138C22×C22⋊C4—34no—
139C22×C22⋊C4—32no—
140C22×C22⋊C4—34no—
141C22×C42—31no—
142C22×C42C2×D311yescharacteristic
143#391—64no—
144#390—64no—
145C4×C22⋊C4—64no—
146C2×#95—34no—
147C2×#95—32no—
148C2×#95C2×D314yes—
149C24×C3C2411yescharacteristic
150C23×D3—21no—
151C23×D3—21no—
152C23×D3—21no—
153C23×D3—21no—
154C23×D3—21no—
155C23×D3—22no—
156C23×D3—21no—
157C23×D3—22no—
158C23×D3—22no—
159C23×D3—22no—
160C23×D3—22no—
161C23×D3—22no—
162C23×D3—22no—
163C23×D3—22no—
164C23×D3—24no—
165C23×D3—22no—
166C23×D3—24no—
167C23×D3—24no—
168C23×D3—24no—
169C23×D3C2×D414yes—
170C23×D3C2×D412yes—
171C23×D3#4114yes—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—24no—
181C22×C3×C4—24no—
182C22×C3×C4—22no—
183C22×C3×C4—24no—
184C22×C3×C4—24no—
185C22×C3×C4—22no—
186C22×C3×C4C2×D414yes—
187C22×C3×C4C2×D414yes—
188C22×C3×C4C2×D414yes—
189C22×C3×C4C2×D412yes—
190C22×C3×C4C2×D412yes—
191C22×C3×C4C2×D412yes—
192C22×C3×C4C2×D412yes—
193C22×C3×C4C2×D412yes—
194C22×C3×C4C2×D412yes—
195C22×C3×C4#4112yes—
196C22×Dic3—22no—
197C22×Dic3—22no—
198C22×Dic3—21no—
199C22×Dic3—22no—
200C22×Dic3—22no—
201C22×Dic3—21no—
202C22×Dic3—21no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—22no—
207C22×Dic3—21no—
208C22×Dic3—21no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—21no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3C2×D412yes—
215C22×Dic3C2×D414yes—
216C22×Dic3#4114yes—
217C2×D12—216no—
218C2×D12—28no—
219C2×D12—28no—
220C2×D12—28no—
221C2×D12—416no—
222C2×D12—416no—
223C2×D12—48no—
224C2×D12—48no—
225C2×D12—44no—
226C2×D12—44no—
227C2×D12—44no—
228C2×D12—44no—
229C2×C4×D3—28no—
230C2×C4×D3—28no—
231C2×C4×D3—28no—
232C2×C4×D3—44no—
233C2×C4×D3—44no—
234C2×C4×D3—44no—
235C2×C4×D3—44no—
236C2×Dic6—28no—
237C2×Dic6—28no—
238C2×Dic6—28no—
239C2×Dic6—44no—
240C2×Dic6—44no—
241C2×Dic6—44no—
242C2×Dic6—44no—
243C3×C4⋊C4—28no—
244C3×C4⋊C4—28no—
245C3×C42—28no—
246(C2×D3)⋊C4—232no—
247(C2×D3)⋊C4—216no—
248(C2×D3)⋊C4—216no—
249(C2×D3)⋊C4—216no—
250(C2×D3)⋊C4—416no—
251C4⋊Dic3—216no—
252C4×Dic3—44no—
253C25—31no—
254C25—32no—
255C22×Q8—34no—
256C22×Q8—62no—
257C22×Q8—62no—
258C22×Q8—62no—
259C22×Q8—62no—
260C22×Q8—62no—
261C22×Q8—62no—
262C22×D4—34no—
263C22×D4—64no—
264C22×D4—64no—
265C22×D4—68no—
266C22×D4—64no—
267C22×D4—62no—
268C22×D4—62no—
269C22×D4—62no—
270C22×D4—62no—
271C22×D4—62no—
272C22×D4—62no—
273C22×D4—124no—
274C23×C4—32no—
275C23×C4—32no—
276C23×C4—31no—
277C23×C4—34no—
278C23×C4—62no—
279C23×C4—62no—
280C23×C4—62no—
281C23×C4—62no—
282C23×C4—62no—
283C23×C4—62no—
284C23×C4C22×D312yes—
285C23×C4C22×D312yes—
286C23×C4C22×D312yes—
287C23×C4C22×D311yescharacteristic
288#124—632no—
289C22⋊Q8—632no—
290#121—632no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—64no—
296C2×C4⋊C4—64no—
297C2×C4⋊C4—64no—
298C2×C4⋊C4D1214yes—
299C2×C4⋊C4D1214yescomplemented
300C2×C22⋊C4—64no—
301C2×C22⋊C4—64no—
302C2×C22⋊C4—68no—
303C2×C22⋊C4—64no—
304C2×C22⋊C4—64no—
305C2×C22⋊C4—64no—
306C2×C22⋊C4—68no—
307C2×C22⋊C4—64no—
308C2×C22⋊C4—64no—
309C2×C22⋊C4—64no—
310C2×C22⋊C4—68no—
311C2×C22⋊C4—64no—
312C2×C22⋊C4—68no—
313C2×C22⋊C4—68no—
314C2×C22⋊C4—124no—
315C2×C42—22no—
316C2×C42—22no—
317C2×C42—62no—
318C2×C42—62no—
319C2×C42—62no—
320C2×C42D1214yescomplemented
321#95—44no—
322#95—64no—
323#95—68no—
324C23×C3C22×D411yescharacteristic
325C23×C3C22×D411yescharacteristic
326C23×C3C22×D411yescharacteristic
327C23×C3C22×D411yescharacteristic
328C23×C3C22×D411yescharacteristic
329C23×C3C22×D411yescharacteristic
330C23×C3C2×#4111yescharacteristic
331C23×C3C2×#4112yes—
332C23×C3C2×#4112yes—
333C23×C3H(5,𝔽2)12yes—
334C23×C32−1+412yes—
335C22×D3—22no—
336C22×D3—22no—
337C22×D3—22no—
338C22×D3—24no—
339C22×D3—24no—
340C22×D3—22no—
341C22×D3—22no—
342C22×D3—22no—
343C22×D3—24no—
344C22×D3—24no—
345C22×D3—24no—
346C22×D3—24no—
347C22×D3—24no—
348C22×D3—24no—
349C22×D3—24no—
350C22×D3—28no—
351C22×D3—28no—
352C22×D3—41no—
353C22×D3—41no—
354C22×D3—41no—
355C22×D3—41no—
356C22×D3—42no—
357C22×D3—42no—
358C22×D3—42no—
359C22×D3—42no—
360C22×D3—42no—
361C22×D3—42no—
362C22×D3—42no—
363C22×D3—42no—
364C22×D3—42no—
365C22×D3—44no—
366C22×D3—42no—
367C22×D3—44no—
368C22×D3—42no—
369C22×D3—42no—
370C22×D3—42no—
371C22×D3—42no—
372C22×D3—44no—
373C22×D3—44no—
374C22×D3—44no—
375C22×D3—44no—
376C22×D3—44no—
377C22×D3—44no—
378C22×D3—44no—
379C22×D3—44no—
380C22×D3#12414yescomplemented
381C2×C3×C4—24no—
382C2×C3×C4—24no—
383C2×C3×C4—24no—
384C2×C3×C4—24no—
385C2×C3×C4—24no—
386C2×C3×C4—28no—
387C2×C3×C4—28no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—42no—
392C2×C3×C4—44no—
393C2×C3×C4—42no—
394C2×C3×C4—42no—
395C2×C3×C4—42no—
396C2×C3×C4—42no—
397C2×C3×C4—44no—
398C2×C3×C4#12014yes—
399C2×C3×C4#12014yes—
400C2×C3×C4#12014yes—
401C2×C3×C4#12114yes—
402C2×C3×C4#12114yes—
403C2×C3×C4#12114yes—
404C2×C3×C4#12714yes—
405C2×Dic3—22no—
406C2×Dic3—24no—
407C2×Dic3—24no—
408C2×Dic3—22no—
409C2×Dic3—24no—
410C2×Dic3—22no—
411C2×Dic3—24no—
412C2×Dic3—24no—
413C2×Dic3—24no—
414C2×Dic3—42no—
415C2×Dic3—41no—
416C2×Dic3—42no—
417C2×Dic3—42no—
418C2×Dic3—41no—
419C2×Dic3—41no—
420C2×Dic3—42no—
421C2×Dic3—42no—
422C2×Dic3—41no—
423C2×Dic3—42no—
424C2×Dic3—42no—
425C2×Dic3—42no—
426D12—432no—
427D12—416no—
428C4×D3—416no—
429Dic6—416no—
430C24—32no—
431C24—34no—
432C24—34no—
433C24—61no—
434C24—61no—
435C24—61no—
436C24—61no—
437C24—61no—
438C24—62no—
439C24—61no—
440C24—62no—
441C24—62no—
442C24—62no—
443C24—62no—
444C24—62no—
445C24—62no—
446C24—62no—
447C24—64no—
448C24—62no—
449C24—64no—
450C24—64no—
451C24—64no—
452C24C23×D311yescharacteristic
453C2×Q8—68no—
454C2×Q8—68no—
455C2×Q8—68no—
456C2×Q8—124no—
457C2×Q8—124no—
458C2×Q8—124no—
459C2×Q8—124no—
460C2×D4—616no—
461C2×D4—68no—
462C2×D4—68no—
463C2×D4—68no—
464C2×D4—1216no—
465C2×D4—128no—
466C2×D4—1216no—
467C2×D4—128no—
468C2×D4—124no—
469C2×D4—124no—
470C2×D4—124no—
471C2×D4—124no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—34no—
487C22×C4—32no—
488C22×C4—34no—
489C22×C4—62no—
490C22×C4—61no—
491C22×C4—62no—
492C22×C4—62no—
493C22×C4—62no—
494C22×C4—61no—
495C22×C4—62no—
496C22×C4—62no—
497C22×C4—61no—
498C22×C4—61no—
499C22×C4—62no—
500C22×C4—62no—
501C22×C4—61no—
502C22×C4—62no—
503C22×C4—61no—
504C22×C4—62no—
505C22×C4—62no—
506C22×C4—62no—
507C22×C4—68no—
508C22×C4—68no—
509C22×C4—68no—
510C22×C4—124no—
511C22×C4—124no—
512C22×C4—124no—
513C22×C4—124no—
514C22×C4C2×D1214yes—
515C22×C4C2×D1214yes—
516C22×C4C2×D1214yes—
517C22×C4C2×D1212yes—
518C22×C4C2×D1212yes—
519C22×C4C2×D1212yes—
520C22×C4D3×D412yes—
521C22×C4D3×D412yes—
522C22×C4D3×D412yes—
523C22×C4#23912yes—
524C4⋊C4—28no—
525C4⋊C4—28no—
526C4⋊C4—616no—
527C22⋊C4—616no—
528C22⋊C4—616no—
529C22⋊C4—632no—
530C22⋊C4—616no—
531C22⋊C4—1216no—
532C42—28no—
533C42—124no—
534C22×C3C2×#12011yescharacteristic
535C22×C3C2×#12011yescharacteristic
536C22×C3C2×#12011yescharacteristic
537C22×C3C2×#12111yescharacteristic
538C22×C3C2×#12111yescharacteristic
539C22×C3C2×#12111yescharacteristic
540C22×C3#52512yes—
541C22×C3C2×#12411yescharacteristic
542C22×C3#52912yes—
543C22×C3C2×#12711yescharacteristic
544C22×C3#53211yescharacteristic
545C22×C3#53511yescharacteristic
546C22×C3#53611yescharacteristic
547C22×C3#53712yes—
548C22×C3#54212yes—
549C22×C3#54612yes—
550C22×C3#54612yes—
551C22×C3#54612yes—
552C22×C3#54712yes—
553C22×C3#54812yes—
554C22×C3#54812yes—
555C22×C3#54812yes—
556C22×C3#55012yes—
557C2×D3—24no—
558C2×D3—24no—
559C2×D3—24no—
560C2×D3—42no—
561C2×D3—42no—
562C2×D3—44no—
563C2×D3—44no—
564C2×D3—44no—
565C2×D3—42no—
566C2×D3—42no—
567C2×D3—44no—
568C2×D3—44no—
569C2×D3—48no—
570C2×D3—48no—
571C2×D3—44no—
572C2×D3—44no—
573C2×D3—82no—
574C2×D3—82no—
575C2×D3—84no—
576C2×D3—82no—
577C2×D3—82no—
578C2×D3—84no—
579C3×C4—44no—
580C3×C4—44no—
581C3×C4—44no—
582C3×C4#39218yes—
583Dic3—44no—
584Dic3—42no—
585Dic3—44no—
586C23—34no—
587C23—64no—
588C23—62no—
589C23—64no—
590C23—62no—
591C23—62no—
592C23—62no—
593C23—62no—
594C23—62no—
595C23—64no—
596C23—64no—
597C23—64no—
598C23—64no—
599C23—64no—
600C23—64no—
601C23—64no—
602C23—68no—
603C23—68no—
604C23—121no—
605C23—122no—
606C23—121no—
607C23—121no—
608C23—121no—
609C23—122no—
610C23—122no—
611C23—122no—
612C23—122no—
613C23—122no—
614C23—124no—
615C23—122no—
616C23—122no—
617C23—124no—
618C23—122no—
619C23—122no—
620C23—122no—
621C23—124no—
622C23—122no—
623C23—122no—
624C23—122no—
625C23—124no—
626C23—124no—
627C23—124no—
628C23—124no—
629C23—124no—
630C23—124no—
631C23—124no—
632C23C22×D1211yescharacteristic
633C23C22×D1211yescharacteristic
634C23C22×D1211yescharacteristic
635C23C2×D3×D411yescharacteristic
636C23C2×D3×D411yescharacteristic
637C23C2×D3×D411yescharacteristic
638C23#100412yes—
639C23C2×#23911yescharacteristic
640C23#100712yes—
641C23D3×#4112yes—
642C23D3×#4112yes—
643Q8—1216no—
644D4—1232no—
645D4—1216no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—28no—
652C2×C4—28no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—42no—
660C2×C4—44no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—62no—
664C2×C4—64no—
665C2×C4—64no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—64no—
669C2×C4—64no—
670C2×C4—64no—
671C2×C4—64no—
672C2×C4—122no—
673C2×C4—121no—
674C2×C4—122no—
675C2×C4—121no—
676C2×C4—122no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—122no—
680C2×C4—122no—
681C2×C4—122no—
682C2×C4—122no—
683C2×C4—122no—
684C2×C4—1216no—
685C2×C4#87414yes—
686C2×C4#88214yes—
687C2×C4#88214yes—
688C2×C4#88214yes—
689C2×C4#89514yes—
690C2×C4#89514yes—
691C2×C4#89514yes—
692C2×C3C2×#39211yescharacteristic
693C2×C3#240712yes—
694C2×C3#242612yes—
695C2×C3#242712yes—
696C2×C3#243111yescharacteristic
697C2×C3#243211yescharacteristic
698C2×C3#243511yescharacteristic
699C2×C3#243611yescharacteristic
700C2×C3#254012yes—
701C2×C3#262011yescharacteristic
702C2×C3#285011yescharacteristic
703D3—44no—
704D3—84no—
705C22—64no—
706C22—64no—
707C22—64no—
708C22—122no—
709C22—124no—
710C22—124no—
711C22—122no—
712C22—122no—
713C22—124no—
714C22—124no—
715C22—122no—
716C22—124no—
717C22—128no—
718C22—124no—
719C22—128no—
720C22—124no—
721C22—242no—
722C22—242no—
723C22—244no—
724C22—242no—
725C22—244no—
726C22—242no—
727C22C2×#87411yescharacteristic
728C22C2×#88211yescharacteristic
729C22C2×#88211yescharacteristic
730C22C2×#88211yescharacteristic
731C22C2×#89511yescharacteristic
732C22C2×#89511yescharacteristic
733C22C2×#89511yescharacteristic
734C22#551012yes—
735C22#552412yes—
736C22#555412yes—
737C22#555412yes—
738C22#557612yes—
739C22#557612yes—
740C22#559912yes—
741C22#561212yes—
742C22#563112yes—
743C22#563312yes—
744C22#566811yescharacteristic
745C22D3×#12411yescharacteristic
746C22#569112yes—
747C22#571511yescharacteristic
748C22#572411yescharacteristic
749C22#573312yes—
750C4—44no—
751C4—44no—
752C4—44no—
753C4—124no—
754C4—122no—
755C4—124no—
756C4#467118yes—
757C3#1521511yescharacteristic, complemented, Sylow
758C2—124no—
759C2—244no—
760C2C2×#467111yescharacteristic
761C2#7379812yes—
762C2#7401512yes—
763C2#7425611yescharacteristic
764C2#7437011yescharacteristic
765C2#7621812yes—
766C2#7621912yes—
767C2#7631311yescharacteristic
768C2#7631511yescharacteristic
769C2#7649811yescharacteristic
770C2#7650011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×C4⋊#95C2
prime radicalC22×#895C2
hypercenterC4⋊#95D3
hypocenterC3#15215
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
1. C22×#897C2semidirect
3. C22×#875C2semidirect
4. C2×#4973C2semidirect
5. C2×#4988C2semidirect
6. C2×C4×(C2×D3)⋊C4C2semidirect
7. C3×C4⋊#95C2semidirect
8. #69427C2semidirect
9. #69426C2semidirect
48. C4⋊#95D3semidirect
83. C22×Dic6D4semidirect
89. C2×C3×C4⋊C4D4semidirect
92. C2×C3×C42D4semidirect
299. C2×C4⋊C4D12semidirect
320. C2×C42D12semidirect
380. C22×D3#124semidirect
757. C3#15215semidirect

Maximal subgroups

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

subgroupindex
C22×#8972
C22×#8952
C22×#8752
C2×#49732
C2×#49882
C2×C4×(C2×D3)⋊C42
C3×C4⋊#952
#694272
#694262
#152153