Finite Group Databasebeta

← #10720174

Subgroups — #10720174

Order 768.

2634 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#894C211yesmaximal, characteristic
2C22×#872C211yesmaximal, characteristic, complemented
3C2×#4665C212yesmaximal
4C2×D3×#95C211yesmaximal, characteristic, complemented
5C3×#1436C211yesmaximal, characteristic, complemented
6#71564C211yesmaximal, characteristic, complemented
7#71537C211yesmaximal, characteristic, complemented
8#69428C212yesmaximal, complemented
9(C2×D3)⋊#95C212yesmaximal, complemented
10#69409C212yesmaximal, complemented
11#69408C211yesmaximal, characteristic, complemented
12#14135—31nomaximal, Sylow
13C23×D12C2211yescharacteristic
14C23×C4×D3C2212yes—
15C23×C4×D3C2211yescharacteristic
16C22×C3×C4⋊C4C2211yescharacteristic
17C22×C3×C42C2211yescharacteristic
18C22×(C2×D3)⋊C4C2212yes—
19C22×(C2×D3)⋊C4C2212yes—
20C22×(C2×D3)⋊C4C2211yescharacteristic
21C22×(C2×D3)⋊C4C2211yescharacteristic
22C22×(C2×D3)⋊C4C2211yescharacteristic
23C22×(C2×D3)⋊C4C2212yes—
24C22×Dic3⋊C4C2212yes—
25C22×Dic3⋊C4C2211yescharacteristic
26C22×C4×Dic3C2211yescharacteristic
27C2×#894—24no—
28C2×#894—24no—
29C2×#894C418yescomplemented
30C2×#872—24no—
31C2×#872—28no—
32C2×C3×#95C2211yescharacteristic
33C2×C3×#95C2212yes—
34C2×C3×#95C2212yes—
35C2×C3⋊#95C2212yes—
36C2×C3⋊#95C2212yes—
37C2×C3⋊#95C2212yes—
38C2×C3⋊#95C2211yescharacteristic
39C2×C3⋊#95C2212yes—
40C2×C3⋊#95C2212yes—
41#4665—28no—
42D3×#95—24no—
43C22×#123—31no—
44C22×#117—31no—
45C2×#386—32no—
46C22×#95—31no—
47#1441—32no—
48#1439—32no—
49#1437—31no—
50#1437—31no—
51#1436—31no—
52#1436D311yescharacteristic, complemented
53C22⋊#95—32no—
54C24×D3C2311yescharacteristic
55C24×D3C2311yescharacteristic
56C23×C3×C4C2311yescharacteristic
57C23×C3×C4C2311yescharacteristic
58C23×C3×C4C2312yes—
59C23×C3×C4C2312yes—
60C23×C3×C4C2311yescharacteristic
61C23×Dic3C2311yescharacteristic
62C23×Dic3C2312yes—
63C23×Dic3C2312yes—
64C23×Dic3C2311yescharacteristic
65C22×D12—24no—
66C22×D12—22no—
67C22×D12—22no—
68C22×D12—24no—
69C22×D12C2×C414yes—
70C22×C4×D3—24no—
71C22×C4×D3—24no—
72C22×C4×D3—24no—
73C22×C4×D3—24no—
74C22×C4×D3—24no—
75C22×C4×D3—24no—
76C22×C4×D3—24no—
77C22×C4×D3—42no—
78C22×C4×D3—42no—
79C22×C4×D3C2×C414yes—
80C22×C4×D3D414yes—
81C22×C4×D3D414yes—
82C2×C3×C4⋊C4—22no—
83C2×C3×C4⋊C4—22no—
84C2×C3×C4⋊C4C2×C414yescomplemented
85C2×C3×C42—24no—
86C2×C3×C42—22no—
87C2×(C2×D3)⋊C4—24no—
88C2×(C2×D3)⋊C4—24no—
89C2×(C2×D3)⋊C4—22no—
90C2×(C2×D3)⋊C4—22no—
91C2×(C2×D3)⋊C4—22no—
92C2×(C2×D3)⋊C4—22no—
93C2×(C2×D3)⋊C4—22no—
94C2×(C2×D3)⋊C4—22no—
95C2×(C2×D3)⋊C4—24no—
96C2×(C2×D3)⋊C4—24no—
97C2×(C2×D3)⋊C4—24no—
98C2×(C2×D3)⋊C4—24no—
99C2×(C2×D3)⋊C4—42no—
100C2×(C2×D3)⋊C4—42no—
101C2×(C2×D3)⋊C4C2×C414yes—
102C2×(C2×D3)⋊C4C2×C414yescomplemented
103C2×(C2×D3)⋊C4C2×C414yescomplemented
104C2×(C2×D3)⋊C4D418yes—
105C2×Dic3⋊C4—24no—
106C2×Dic3⋊C4—24no—
107C2×Dic3⋊C4—24no—
108C2×Dic3⋊C4—22no—
109C2×Dic3⋊C4—22no—
110C2×Dic3⋊C4C2×C414yescomplemented
111C2×C4×Dic3—22no—
112C2×C4×Dic3—24no—
113#894—232no—
114#872—232no—
115C3×#95—22no—
116C3×#95—24no—
117C3×#95—24no—
118C3⋊#95—22no—
119C3⋊#95—24no—
120C3⋊#95—24no—
121C3⋊#95—24no—
122C3⋊#95—42no—
123C3⋊#95—42no—
124C23×D4—31no—
125C24×C4—31no—
126C24×C4—32no—
127C2×#123—38no—
128C2×#123—64no—
129C2×#123—64no—
130C2×#117—68no—
131C2×#117—64no—
132C22×C4⋊C4—31no—
133C22×C4⋊C4—32no—
134C22×C4⋊C4C2×D311yescharacteristic
135C22×C22⋊C4—32no—
136C22×C22⋊C4—31no—
137C22×C22⋊C4—31no—
138C22×C22⋊C4—31no—
139C22×C22⋊C4—32no—
140C22×C22⋊C4—32no—
141C22×C42—31no—
142C22×C42C2×D311yescharacteristic
143#386—68no—
144C2×#95—32no—
145C2×#95—31no—
146C2×#95—32no—
147C2×#95—32no—
148C2×#95—32no—
149C2×#95—32no—
150C2×#95—64no—
151C2×#95C2×D312yes—
152C2×#95C2×D311yescharacteristic
153C2×#95C2×D312yes—
154C24×C3C2411yescharacteristic
155C23×D3—22no—
156C23×D3—22no—
157C23×D3—22no—
158C23×D3—22no—
159C23×D3—21no—
160C23×D3—21no—
161C23×D3—22no—
162C23×D3—22no—
163C23×D3—22no—
164C23×D3—22no—
165C23×D3—22no—
166C23×D3—22no—
167C23×D3C22×C412yes—
168C23×D3C22×C412yes—
169C23×D3C2×D412yes—
170C23×D3C2×D412yes—
171C23×D3C2×D414yes—
172C23×D3#4114yes—
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—21no—
181C22×C3×C4—21no—
182C22×C3×C4—21no—
183C22×C3×C4—21no—
184C22×C3×C4—22no—
185C22×C3×C4—22no—
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—22no—
192C22×C3×C4—22no—
193C22×C3×C4—22no—
194C22×C3×C4—22no—
195C22×C3×C4C22×C412yes—
196C22×C3×C4C22×C412yes—
197C22×C3×C4C22×C412yes—
198C22×C3×C4C2×D414yes—
199C22×C3×C4C2×D412yes—
200C22×C3×C4C2×D412yes—
201C22×C3×C4#4114yes—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—22no—
207C22×Dic3—22no—
208C22×Dic3—21no—
209C22×Dic3—21no—
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×Dic3C22×C412yes—
221C22×Dic3C22×C412yes—
222C22×Dic3C2×D414yes—
223C22×Dic3C2×D412yes—
224C22×Dic3C2×D412yes—
225C22×Dic3#4114yes—
226C2×D12—28no—
227C2×D12—216no—
228C2×D12—44no—
229C2×D12—48no—
230C2×D12—44no—
231C2×C4×D3—216no—
232C2×C4×D3—28no—
233C2×C4×D3—216no—
234C2×C4×D3—28no—
235C2×C4×D3—216no—
236C2×C4×D3—48no—
237C2×C4×D3—48no—
238C2×C4×D3—48no—
239C2×C4×D3—48no—
240C2×C4×D3—48no—
241C2×C4×D3—48no—
242C2×C4×D3C22⋊C4116yescomplemented
243C3×C4⋊C4—28no—
244C3×C42—28no—
245(C2×D3)⋊C4—28no—
246(C2×D3)⋊C4—216no—
247(C2×D3)⋊C4—28no—
248(C2×D3)⋊C4—28no—
249(C2×D3)⋊C4—48no—
250(C2×D3)⋊C4—48no—
251Dic3⋊C4—216no—
252Dic3⋊C4—28no—
253C4×Dic3—28no—
254C25—31no—
255C25—31no—
256C22×D4—34no—
257C22×D4—62no—
258C22×D4—62no—
259C22×D4—64no—
260C22×D4—64no—
261C23×C4—31no—
262C23×C4—34no—
263C23×C4—34no—
264C23×C4—34no—
265C23×C4—31no—
266C23×C4—32no—
267C23×C4—32no—
268C23×C4—64no—
269C23×C4—64no—
270C23×C4—64no—
271C23×C4—64no—
272C23×C4—64no—
273C23×C4—64no—
274C23×C4—64no—
275C23×C4—122no—
276C23×C4—122no—
277C23×C4C22×D311yescharacteristic
278C23×C4C22×D311yescharacteristic
279C23×C4C22×D312yes—
280C23×C4C22×D312yes—
281C23×C4C22×D311yescharacteristic
282#123—632no—
283#117—632no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—34no—
287C2×C4⋊C4—64no—
288C2×C4⋊C4—64no—
289C2×C4⋊C4—62no—
290C2×C4⋊C4—62no—
291C2×C4⋊C4—64no—
292C2×C4⋊C4C4×D314yescomplemented
293C2×C22⋊C4—34no—
294C2×C22⋊C4—34no—
295C2×C22⋊C4—34no—
296C2×C22⋊C4—38no—
297C2×C22⋊C4—62no—
298C2×C22⋊C4—62no—
299C2×C22⋊C4—64no—
300C2×C22⋊C4—64no—
301C2×C22⋊C4—62no—
302C2×C22⋊C4—62no—
303C2×C22⋊C4—62no—
304C2×C22⋊C4—62no—
305C2×C22⋊C4—64no—
306C2×C22⋊C4—64no—
307C2×C22⋊C4—64no—
308C2×C22⋊C4—64no—
309C2×C22⋊C4—122no—
310C2×C22⋊C4—122no—
311C2×C42—24no—
312C2×C42—22no—
313C2×C42—64no—
314C2×C42—62no—
315#95—24no—
316#95—22no—
317#95—24no—
318#95—64no—
319#95—64no—
320#95—64no—
321#95—62no—
322#95—122no—
323#95—122no—
324C23×C3C23×C411yescharacteristic
325C23×C3C22×D411yescharacteristic
326C23×C3C22×D411yescharacteristic
327C23×C3C22×D412yes—
328C23×C3C2×#4112yes—
329C23×C3C2×#4112yes—
330C23×C3C2×#4112yes—
331C23×C3H(5,𝔽2)12yes—
332C23×C32−1+412yes—
333C22×D3—22no—
334C22×D3—22no—
335C22×D3—24no—
336C22×D3—24no—
337C22×D3—24no—
338C22×D3—22no—
339C22×D3—22no—
340C22×D3—24no—
341C22×D3—24no—
342C22×D3—24no—
343C22×D3—24no—
344C22×D3—24no—
345C22×D3—24no—
346C22×D3—24no—
347C22×D3—24no—
348C22×D3—24no—
349C22×D3—22no—
350C22×D3—24no—
351C22×D3—22no—
352C22×D3—22no—
353C22×D3—24no—
354C22×D3—41no—
355C22×D3—42no—
356C22×D3—41no—
357C22×D3—42no—
358C22×D3—42no—
359C22×D3—41no—
360C22×D3—41no—
361C22×D3—42no—
362C22×D3—42no—
363C22×D3—42no—
364C22×D3—42no—
365C22×D3—42no—
366C22×D3—42no—
367C22×D3—42no—
368C22×D3—42no—
369C22×D3—42no—
370C22×D3C2×C22⋊C414yes—
371C22×D3C4×D418yes—
372C22×D3#12014yes—
373C22×D3#12118yes—
374C22×D3#12314yes—
375C2×C3×C4—24no—
376C2×C3×C4—22no—
377C2×C3×C4—24no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—24no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—24no—
385C2×C3×C4—24no—
386C2×C3×C4—24no—
387C2×C3×C4—24no—
388C2×C3×C4—24no—
389C2×C3×C4—24no—
390C2×C3×C4—41no—
391C2×C3×C4—42no—
392C2×C3×C4—42no—
393C2×C3×C4—41no—
394C2×C3×C4—42no—
395C2×C3×C4—42no—
396C2×C3×C4—42no—
397C2×C3×C4—42no—
398C2×C3×C4—42no—
399C2×C3×C4—42no—
400C2×C3×C4—42no—
401C2×C3×C4—42no—
402C2×C3×C4—42no—
403C2×C3×C4C2×C22⋊C414yes—
404C2×Dic3—24no—
405C2×Dic3—22no—
406C2×Dic3—24no—
407C2×Dic3—22no—
408C2×Dic3—22no—
409C2×Dic3—24no—
410C2×Dic3—24no—
411C2×Dic3—24no—
412C2×Dic3—24no—
413C2×Dic3—24no—
414C2×Dic3—24no—
415C2×Dic3—24no—
416C2×Dic3—42no—
417C2×Dic3—42no—
418C2×Dic3—42no—
419C2×Dic3—41no—
420C2×Dic3—41no—
421C2×Dic3—42no—
422C2×Dic3—42no—
423C2×Dic3—42no—
424C2×Dic3—42no—
425C2×Dic3—42no—
426C2×Dic3—42no—
427C2×Dic3C2×C22⋊C414yes—
428D12—416no—
429C4×D3—232no—
430C4×D3—432no—
431C24—32no—
432C24—34no—
433C24—32no—
434C24—32no—
435C24—34no—
436C24—32no—
437C24—62no—
438C24—62no—
439C24—62no—
440C24—62no—
441C24—62no—
442C24—61no—
443C24—61no—
444C24—62no—
445C24—62no—
446C24—62no—
447C24—62no—
448C24—62no—
449C24C23×D311yescharacteristic
450C2×D4—68no—
451C2×D4—616no—
452C2×D4—124no—
453C2×D4—124no—
454C2×D4—128no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—32no—
478C22×C4—32no—
479C22×C4—32no—
480C22×C4—316no—
481C22×C4—32no—
482C22×C4—34no—
483C22×C4—34no—
484C22×C4—68no—
485C22×C4—68no—
486C22×C4—616no—
487C22×C4—616no—
488C22×C4—616no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—62no—
492C22×C4—62no—
493C22×C4—62no—
494C22×C4—62no—
495C22×C4—62no—
496C22×C4—62no—
497C22×C4—61no—
498C22×C4—61no—
499C22×C4—62no—
500C22×C4—62no—
501C22×C4—62no—
502C22×C4—62no—
503C22×C4—62no—
504C22×C4—62no—
505C22×C4—62no—
506C22×C4—62no—
507C22×C4—128no—
508C22×C4—128no—
509C22×C4—128no—
510C22×C4—128no—
511C22×C4—128no—
512C22×C4—128no—
513C22×C4C2×C4×D312yes—
514C22×C4C2×C4×D312yes—
515C22×C4C2×C4×D312yes—
516C22×C4#23514yes—
517C22×C4D3×D414yes—
518C22×C4D3×D412yes—
519C22×C4D3×D412yes—
520C4⋊C4—28no—
521C4⋊C4—68no—
522C4⋊C4—616no—
523C22⋊C4—68no—
524C22⋊C4—616no—
525C22⋊C4—68no—
526C22⋊C4—68no—
527C22⋊C4—128no—
528C22⋊C4—128no—
529C42—28no—
530C42—68no—
531C22×C3C22×C22⋊C411yescharacteristic
532C22×C3C2×C4×D412yes—
533C22×C3C4×#4111yescharacteristic
534C22×C3C4×#4111yescharacteristic
535C22×C3#52012yes—
536C22×C3C2×#12011yescharacteristic
537C22×C3C2×#12112yes—
538C22×C3C2×#12311yescharacteristic
539C22×C3#52512yes—
540C22×C3#53212yes—
541C22×C3#53511yescharacteristic
542C22×C3#53611yescharacteristic
543C22×C3#53712yes—
544C22×C3#54612yes—
545C22×C3#54612yes—
546C22×C3#54712yes—
547C22×C3#54712yes—
548C22×C3#55112yes—
549C22×C3#55112yes—
550C22×C3#55212yes—
551C22×C3#55212yes—
552C2×D3—24no—
553C2×D3—28no—
554C2×D3—28no—
555C2×D3—28no—
556C2×D3—28no—
557C2×D3—28no—
558C2×D3—28no—
559C2×D3—24no—
560C2×D3—42no—
561C2×D3—44no—
562C2×D3—44no—
563C2×D3—42no—
564C2×D3—42no—
565C2×D3—82no—
566C2×D3—82no—
567C2×D3—82no—
568C2×D3—82no—
569C2×D3#38618yes—
570C3×C4—24no—
571C3×C4—44no—
572C3×C4—44no—
573C3×C4—42no—
574C3×C4—42no—
575Dic3—24no—
576Dic3—42no—
577Dic3—44no—
578Dic3—44no—
579C23—34no—
580C23—34no—
581C23—38no—
582C23—34no—
583C23—38no—
584C23—64no—
585C23—62no—
586C23—64no—
587C23—64no—
588C23—62no—
589C23—62no—
590C23—64no—
591C23—62no—
592C23—64no—
593C23—64no—
594C23—64no—
595C23—64no—
596C23—64no—
597C23—64no—
598C23—64no—
599C23—64no—
600C23—62no—
601C23—62no—
602C23—62no—
603C23—64no—
604C23—64no—
605C23—121no—
606C23—122no—
607C23—121no—
608C23—122no—
609C23—122no—
610C23—121no—
611C23—122no—
612C23—122no—
613C23—122no—
614C23—122no—
615C23—122no—
616C23—122no—
617C23—121no—
618C23—122no—
619C23—122no—
620C23—122no—
621C23C22×C4×D311yescharacteristic
622C23C2×#23512yes—
623C23C2×D3×D411yescharacteristic
624C23C2×D3×D412yes—
625C23C2×D3×D411yescharacteristic
626C23#100712yes—
627C23D3×#4112yes—
628C23D3×#4112yes—
629C23#100912yes—
630D4—1216no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—34no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—632no—
661C2×C4—62no—
662C2×C4—64no—
663C2×C4—62no—
664C2×C4—64no—
665C2×C4—64no—
666C2×C4—64no—
667C2×C4—62no—
668C2×C4—64no—
669C2×C4—64no—
670C2×C4—64no—
671C2×C4—64no—
672C2×C4—64no—
673C2×C4—1232no—
674C2×C4—122no—
675C2×C4—122no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—122no—
679C2×C4—122no—
680C2×C4—122no—
681C2×C4—122no—
682C2×C4—122no—
683C2×C4—122no—
684C2×C4—122no—
685C2×C4D3×C22⋊C414yes—
686C2×C3C2×#38611yescharacteristic
687C2×C3#229711yescharacteristic
688C2×C3#231111yescharacteristic
689C2×C3#235912yes—
690C2×C3#235912yes—
691C2×C3#241112yes—
692C2×C3#241312yes—
693C2×C3#243012yes—
694C2×C3#249812yes—
695D3—28no—
696D3—82no—
697C22—38no—
698C22—68no—
699C22—68no—
700C22—68no—
701C22—68no—
702C22—64no—
703C22—68no—
704C22—68no—
705C22—64no—
706C22—124no—
707C22—124no—
708C22—122no—
709C22—122no—
710C22—122no—
711C22—242no—
712C22—242no—
713C22—242no—
714C22—242no—
715C22C4×#23511yescharacteristic
716C22C2×D3×C22⋊C411yescharacteristic
717C22#550712yes—
718C22#552211yescharacteristic
719C22#552712yes—
720C22C4×D3×D412yes—
721C22#554712yes—
722C22#554812yes—
723C22#555012yes—
724C22#557412yes—
725C22#558112yes—
726C22D3×#12011yescharacteristic
727C22D3×#12112yes—
728C22#562912yes—
729C22#563112yes—
730C22D3×#12311yescharacteristic
731C22#565412yes—
732C22#567411yescharacteristic
733C22#569312yes—
734C22#570512yes—
735C22#572411yescharacteristic
736C4—24no—
737C4—44no—
738C4—42no—
739C4—44no—
740C4—42no—
741C4—64no—
742C4—124no—
743C4—124no—
744C4—122no—
745C3#1413511yescharacteristic, complemented, Sylow
746C2—68no—
747C2—242no—
748C2#7356311yescharacteristic
749C2#7377212yes—
750C2#7460612yes—
751C2D3×#38611yescharacteristic
752C2#7530712yes—
753C2#7533912yes—
754C2#7584212yes—
755C2#7620812yes—
756C2#7648211yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
FittingC3×#1436C2
socle, cosocleC24×C3C24
prime radicalC23×D12C22
hypercenter#1436D3
hypocenterC3#14135
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ #1436

Complements

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

NH ≅ G/Ntype
2. C22×#872C2semidirect
4. C2×D3×#95C2semidirect
5. C3×#1436C2semidirect
6. #71564C2semidirect
7. #71537C2semidirect
8. #69428C2semidirect
9. (C2×D3)⋊#95C2semidirect
10. #69409C2semidirect
11. #69408C2semidirect
29. C2×#894C4semidirect
52. #1436D3semidirect
84. C2×C3×C4⋊C4C2×C4semidirect
102. C2×(C2×D3)⋊C4C2×C4semidirect
103. C2×(C2×D3)⋊C4C2×C4semidirect
110. C2×Dic3⋊C4C2×C4semidirect
242. C2×C4×D3C22⋊C4semidirect
292. C2×C4⋊C4C4×D3semidirect
745. C3#14135semidirect

Maximal subgroups

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

subgroupindex
C22×#8942
C22×#8722
C2×#46652
C2×D3×#952
C3×#14362
#715642
#715372
#694282
(C2×D3)⋊#952
#694092
#694082
#141353