Finite Group Databasebeta

← #10718893

Subgroups — #10718893

Order 768.

2366 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C4⋊Dic3C211yesmaximal, characteristic
2C2×C3×#385C211yesmaximal, characteristic
3C2×#4984C212yesmaximal, complemented
4C2×#4950C211yesmaximal, characteristic
5C2×#4950C211yesmaximal, characteristic
6C2×Dic3×C22⋊C4C211yesmaximal, characteristic
7#72127C211yesmaximal, characteristic
8#71565C212yesmaximal, complemented
9#71544C211yesmaximal, characteristic
10#69419C212yesmaximal, complemented
11#69407C212yesmaximal, complemented
12#14043—31nomaximal, Sylow
13C24×C3×C4C2211yescharacteristic
14C24×Dic3C2211yescharacteristic
15C24×Dic3C2211yescharacteristic
16C22×C3×C4⋊C4C2212yes—
17C22×C3×C22⋊C4C2211yescharacteristic
18C22×C3×C22⋊C4C2211yescharacteristic
19C22×#217C2211yescharacteristic
20C22×#217C2211yescharacteristic
21C22×C4⋊Dic3—24no—
22C22×C4⋊Dic3—28no—
23C22×C4⋊Dic3C2212yes—
24C22×C4⋊Dic3C2211yescharacteristic
25C22×C4⋊Dic3C2212yes—
26C22×C4⋊Dic3C2212yes—
27C22×C4⋊Dic3C2211yescharacteristic
28C22×C4×Dic3C2212yes—
29C3×#385C418yescomplemented
30C2×C3×#95C2212yes—
31C2×C3⋊#95C2211yescharacteristic
32C2×C3⋊#95C2212yes—
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2212yes—
36C2×C3⋊#95C2212yes—
37C2×C3⋊#95C2211yescharacteristic
38C2×C3⋊#95C2212yes—
39#4984—28no—
40#4950—24no—
41#4950—24no—
42Dic3×C22⋊C4—24no—
43C23×C4⋊C4—31no—
44C2×#389—32no—
45C2×#385—31no—
46C2×#385—31no—
47C2×#385D311yescharacteristic
48C2×C4×C22⋊C4—31no—
49#1444—32no—
50#1441—32no—
51#1436—32no—
52C22⋊#95—31no—
53C22⋊#95—31no—
54C25×C3C2311yescharacteristic
55C23×C3×C4—22no—
56C23×C3×C4—22no—
57C23×C3×C4—24no—
58C23×C3×C4—24no—
59C23×C3×C4C2×C414yes—
60C23×C3×C4C2311yescharacteristic
61C23×C3×C4C2311yescharacteristic
62C23×C3×C4C2312yes—
63C23×C3×C4C2312yes—
64C23×Dic3—22no—
65C23×Dic3—22no—
66C23×Dic3—22no—
67C23×Dic3—24no—
68C23×Dic3—24no—
69C23×Dic3—22no—
70C23×Dic3—22no—
71C23×Dic3—42no—
72C23×Dic3—42no—
73C23×Dic3D414yes—
74C23×Dic3C2311yescharacteristic
75C23×Dic3C2311yescharacteristic
76C23×Dic3C2311yescharacteristic
77C23×Dic3C2312yes—
78C23×Dic3C2312yes—
79C23×Dic3C2311yescharacteristic
80C2×C3×C4⋊C4—24no—
81C2×C3×C4⋊C4—24no—
82C2×C3×C4⋊C4C2×C418yescomplemented
83C2×C3×C22⋊C4—22no—
84C2×C3×C22⋊C4—22no—
85C2×C3×C22⋊C4C2×C414yes—
86C2×C3×C22⋊C4C2×C414yes—
87C2×C3×C22⋊C4D414yes—
88C2×C3×C22⋊C4Q814yes—
89C2×#217—22no—
90C2×#217—22no—
91C2×#217—22no—
92C2×#217—22no—
93C2×#217—22no—
94C2×#217Q814yes—
95C2×C4⋊Dic3—232no—
96C2×C4⋊Dic3—24no—
97C2×C4⋊Dic3—24no—
98C2×C4⋊Dic3—24no—
99C2×C4⋊Dic3—24no—
100C2×C4⋊Dic3—24no—
101C2×C4⋊Dic3—24no—
102C2×C4⋊Dic3—22no—
103C2×C4⋊Dic3—22no—
104C2×C4⋊Dic3—24no—
105C2×C4⋊Dic3—24no—
106C2×C4⋊Dic3—42no—
107C2×C4⋊Dic3—42no—
108C2×C4⋊Dic3D418yes—
109C2×C4×Dic3—24no—
110C2×C4×Dic3—24no—
111C2×C4×Dic3—42no—
112C3×#95C2×C418yescomplemented
113C3⋊#95—24no—
114C3⋊#95—24no—
115C3⋊#95—24no—
116C3⋊#95—24no—
117C3⋊#95—22no—
118C3⋊#95—22no—
119C3⋊#95—24no—
120C3⋊#95—42no—
121C24×C4—31no—
122C24×C4—31no—
123C24×C4C2×D311yescharacteristic
124C22×C4⋊C4—32no—
125C22×C4⋊C4—32no—
126C22×C4⋊C4—31no—
127C22×C4⋊C4—32no—
128C22×C4⋊C4—31no—
129C22×C4⋊C4—68no—
130C22×C4⋊C4—64no—
131C22×C4⋊C4C2×D312yes—
132C22×C22⋊C4—31no—
133C22×C22⋊C4—31no—
134C22×C22⋊C4C2×D311yescharacteristic
135C22×C22⋊C4C2×D311yescharacteristic
136C22×C42—32no—
137#389—68no—
138#385—64no—
139#385—64no—
140#385Dic318yescomplemented
141C4×C22⋊C4—64no—
142C2×#95—32no—
143C2×#95—32no—
144C2×#95—32no—
145C2×#95—31no—
146C2×#95—32no—
147C2×#95—31no—
148C2×#95—32no—
149C2×#95—32no—
150C2×#95C2×D312yes—
151C24×C3—22no—
152C24×C3—22no—
153C24×C3—22no—
154C24×C3—22no—
155C24×C3C22×C412yes—
156C24×C3C2×D412yes—
157C24×C3C2×D412yes—
158C24×C3C2×Q812yes—
159C24×C3C2×Q812yes—
160C24×C3#4112yes—
161C24×C3#4112yes—
162C24×C3C2411yescharacteristic
163C22×C3×C4—28no—
164C22×C3×C4—216no—
165C22×C3×C4—28no—
166C22×C3×C4—28no—
167C22×C3×C4—22no—
168C22×C3×C4—22no—
169C22×C3×C4—22no—
170C22×C3×C4—22no—
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—216no—
176C22×C3×C4—21no—
177C22×C3×C4—21no—
178C22×C3×C4—22no—
179C22×C3×C4—21no—
180C22×C3×C4—21no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4C22×C412yes—
185C22×C3×C4C22×C412yes—
186C22×C3×C4C22×C414yes—
187C22×C3×C4C22×C414yes—
188C22×C3×C4C2×D414yes—
189C22×C3×C4C2×D414yes—
190C22×C3×C4C2×Q814yes—
191C22×C3×C4#4114yes—
192C22×Dic3—21no—
193C22×Dic3—21no—
194C22×Dic3—22no—
195C22×Dic3—28no—
196C22×Dic3—28no—
197C22×Dic3—22no—
198C22×Dic3—21no—
199C22×Dic3—22no—
200C22×Dic3—22no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—21no—
207C22×Dic3—22no—
208C22×Dic3—22no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—28no—
214C22×Dic3—21no—
215C22×Dic3—21no—
216C22×Dic3—22no—
217C22×Dic3—21no—
218C22×Dic3—21no—
219C22×Dic3—22no—
220C22×Dic3—21no—
221C22×Dic3—21no—
222C22×Dic3—22no—
223C22×Dic3—22no—
224C22×Dic3—44no—
225C22×Dic3—48no—
226C22×Dic3—48no—
227C22×Dic3—48no—
228C22×Dic3—48no—
229C22×Dic3—44no—
230C22×Dic3—44no—
231C22×Dic3C2×D412yes—
232C22×Dic3C2×D414yes—
233C22×Dic3C2×D412yes—
234C22×Dic3C2×D414yes—
235C22×Dic3C2×Q814yes—
236C3×C4⋊C4—216no—
237C3×C22⋊C4—28no—
238C3×C22⋊C4C4⋊C4116yescomplemented
239#217—28no—
240#217—44no—
241C4⋊Dic3—216no—
242C4⋊Dic3—216no—
243C4⋊Dic3—48no—
244C4⋊Dic3—44no—
245C4⋊Dic3—44no—
246C4×Dic3—48no—
247C25C22×D311yescharacteristic
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—24no—
251C23×C4—24no—
252C23×C4—31no—
253C23×C4—32no—
254C23×C4—32no—
255C23×C4—31no—
256C23×C4—34no—
257C23×C4—31no—
258C23×C4—31no—
259C23×C4—64no—
260C23×C4—64no—
261C23×C4—62no—
262C23×C4—62no—
263C23×C4—62no—
264C23×C4—62no—
265C23×C4—62no—
266C23×C4—122no—
267C23×C4—122no—
268C23×C4C2×Dic314yes—
269C23×C4C22×D311yescharacteristic
270C23×C4C22×D311yescharacteristic
271C23×C4C22×D312yes—
272C23×C4C22×D312yes—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—38no—
276C2×C4⋊C4—64no—
277C2×C4⋊C4—64no—
278C2×C4⋊C4—64no—
279C2×C4⋊C4—64no—
280C2×C4⋊C4—632no—
281C2×C4⋊C4—64no—
282C2×C4⋊C4—62no—
283C2×C4⋊C4—62no—
284C2×C4⋊C4—64no—
285C2×C4⋊C4—64no—
286C2×C4⋊C4—64no—
287C2×C4⋊C4—122no—
288C2×C4⋊C4—122no—
289C2×C4⋊C4C2×Dic318yescomplemented
290C2×C22⋊C4—22no—
291C2×C22⋊C4—22no—
292C2×C22⋊C4—34no—
293C2×C22⋊C4—62no—
294C2×C22⋊C4—62no—
295C2×C22⋊C4—62no—
296C2×C22⋊C4—62no—
297C2×C22⋊C4—62no—
298C2×C22⋊C4Dic614yes—
299C2×C22⋊C4D1214yes—
300C2×C22⋊C4C2×Dic314yes—
301C2×C22⋊C4C2×Dic314yes—
302C2×C42—64no—
303C2×C42—64no—
304C2×C42—122no—
305#95—62no—
306#95—62no—
307#95—64no—
308#95—64no—
309#95—64no—
310#95—64no—
311#95—64no—
312#95—122no—
313#95C2×Dic318yescomplemented
314C23×C3—24no—
315C23×C3—24no—
316C23×C3—22no—
317C23×C3—22no—
318C23×C3—24no—
319C23×C3—22no—
320C23×C3—22no—
321C23×C3—24no—
322C23×C3—24no—
323C23×C3—24no—
324C23×C3—24no—
325C23×C3—24no—
326C23×C3—24no—
327C23×C3—24no—
328C23×C3—24no—
329C23×C3—24no—
330C23×C3C2×C4⋊C414yes—
331C23×C3C4×D414yes—
332C23×C3C4×Q814yes—
333C23×C3#12114yes—
334C23×C3C22⋊Q814yes—
335C23×C3#12514yes—
336C23×C3C4⋊Q814yes—
337C23×C3C23×C411yescharacteristic
338C23×C3C22×D411yescharacteristic
339C23×C3C22×D411yescharacteristic
340C23×C3C22×D412yes—
341C23×C3C22×Q811yescharacteristic
342C23×C3C22×Q811yescharacteristic
343C23×C3C2×#4111yescharacteristic
344C23×C3C2×#4112yes—
345C23×C3C2×#4111yescharacteristic
346C23×C3H(5,𝔽2)12yes—
347C23×C32−1+412yes—
348C2×C3×C4—232no—
349C2×C3×C4—24no—
350C2×C3×C4—24no—
351C2×C3×C4—24no—
352C2×C3×C4—24no—
353C2×C3×C4—24no—
354C2×C3×C4—24no—
355C2×C3×C4—24no—
356C2×C3×C4—24no—
357C2×C3×C4—24no—
358C2×C3×C4—24no—
359C2×C3×C4—24no—
360C2×C3×C4—24no—
361C2×C3×C4—22no—
362C2×C3×C4—22no—
363C2×C3×C4—24no—
364C2×C3×C4—24no—
365C2×C3×C4—41no—
366C2×C3×C4—41no—
367C2×C3×C4—42no—
368C2×C3×C4—41no—
369C2×C3×C4—41no—
370C2×C3×C4—42no—
371C2×C3×C4C2×C4⋊C418yescomplemented
372C2×C3×C4C4×D418yes—
373C2×Dic3—22no—
374C2×Dic3—22no—
375C2×Dic3—24no—
376C2×Dic3—24no—
377C2×Dic3—22no—
378C2×Dic3—24no—
379C2×Dic3—22no—
380C2×Dic3—24no—
381C2×Dic3—22no—
382C2×Dic3—24no—
383C2×Dic3—24no—
384C2×Dic3—24no—
385C2×Dic3—24no—
386C2×Dic3—416no—
387C2×Dic3—416no—
388C2×Dic3—42no—
389C2×Dic3—42no—
390C2×Dic3—42no—
391C2×Dic3—42no—
392C2×Dic3—42no—
393C2×Dic3—42no—
394C2×Dic3—42no—
395C2×Dic3—42no—
396C2×Dic3—42no—
397C2×Dic3—42no—
398C2×Dic3—41no—
399C2×Dic3—41no—
400C2×Dic3—41no—
401C2×Dic3—41no—
402C2×Dic3—41no—
403C2×Dic3—41no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—42no—
407C2×Dic3—42no—
408C2×Dic3#12014yes—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24C2×Dic612yes—
414C24C2×D1212yes—
415C24D3×D412yes—
416C24#23712yes—
417C24D3×Q812yes—
418C24#23912yes—
419C24C22×Dic312yes—
420C24C23×D311yescharacteristic
421C22×C4—28no—
422C22×C4—216no—
423C22×C4—28no—
424C22×C4—28no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—216no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—32no—
443C22×C4—34no—
444C22×C4—34no—
445C22×C4—32no—
446C22×C4—34no—
447C22×C4—68no—
448C22×C4—61no—
449C22×C4—61no—
450C22×C4—62no—
451C22×C4—68no—
452C22×C4—68no—
453C22×C4—61no—
454C22×C4—62no—
455C22×C4—62no—
456C22×C4—62no—
457C22×C4—62no—
458C22×C4—62no—
459C22×C4—62no—
460C22×C4—62no—
461C22×C4—62no—
462C22×C4—61no—
463C22×C4—62no—
464C22×C4—62no—
465C22×C4—62no—
466C22×C4—62no—
467C22×C4—62no—
468C22×C4—62no—
469C22×C4—61no—
470C22×C4—61no—
471C22×C4—61no—
472C22×C4—62no—
473C22×C4—61no—
474C22×C4—62no—
475C22×C4—61no—
476C22×C4—61no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—124no—
480C22×C4—128no—
481C22×C4—128no—
482C22×C4—128no—
483C22×C4—128no—
484C22×C4—124no—
485C22×C4—124no—
486C22×C4C2×Dic614yes—
487C22×C4C2×D1214yes—
488C22×C4D3×D414yes—
489C22×C4#23714yes—
490C22×C4C22×Dic312yes—
491C22×C4C22×Dic312yes—
492C22×C4C22×Dic314yes—
493C22×C4C22×Dic314yes—
494C4⋊C4—216no—
495C4⋊C4—616no—
496C4⋊C4—616no—
497C4⋊C4—128no—
498C4⋊C4—124no—
499C4⋊C4—124no—
500C22⋊C4—28no—
501C22⋊C4—68no—
502C22⋊C4—124no—
503C22⋊C4C4⋊Dic3116yescomplemented
504C42—128no—
505C22×C3—24no—
506C22×C3—24no—
507C22×C3—28no—
508C22×C3—28no—
509C22×C3—24no—
510C22×C3—24no—
511C22×C3—24no—
512C22×C3—28no—
513C22×C3—28no—
514C22×C3—24no—
515C22×C3#38918yescomplemented
516C22×C3C22×C4⋊C411yescharacteristic
517C22×C3C2×C4×D411yescharacteristic
518C22×C3C2×C4×D412yes—
519C22×C3C2×C4×Q811yescharacteristic
520C22×C3#52012yes—
521C22×C3C2×#12011yescharacteristic
522C22×C3C2×#12111yescharacteristic
523C22×C3C2×C22⋊Q811yescharacteristic
524C22×C3#52511yescharacteristic
525C22×C3#52512yes—
526C22×C3C2×#12511yescharacteristic
527C22×C3C2×C4⋊Q811yescharacteristic
528C22×C3#53411yescharacteristic
529C22×C3#53611yescharacteristic
530C22×C3#53912yes—
531C22×C3D4212yes—
532C22×C3#54612yes—
533C22×C3#54712yes—
534C22×C3D4×Q812yes—
535C22×C3D4×Q812yes—
536C22×C3#55212yes—
537C22×C3#55412yes—
538C22×C3#55412yes—
539C3×C4—28no—
540C3×C4—28no—
541C3×C4—42no—
542C3×C4—42no—
543Dic3—24no—
544Dic3—42no—
545Dic3—44no—
546Dic3—44no—
547Dic3—81no—
548Dic3—81no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—22no—
553C23—22no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—22no—
562C23—24no—
563C23—22no—
564C23—24no—
565C23#88814yes—
566C23#89014yes—
567C23#89514yes—
568C23#89714yes—
569C23C2×C4⋊Dic314yes—
570C23D4×Dic314yes—
571C23Q8×Dic314yes—
572C23C22×Dic611yescharacteristic
573C23C22×D1211yescharacteristic
574C23C2×D3×D412yes—
575C23C2×D3×D411yescharacteristic
576C23C2×#23712yes—
577C23C2×#23711yescharacteristic
578C23C2×D3×Q811yescharacteristic
579C23C2×#23911yescharacteristic
580C23#100912yes—
581C23#101012yes—
582C23C23×Dic311yescharacteristic
583C2×C4—232no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—34no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—42no—
604C2×C4—41no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—62no—
608C2×C4—62no—
609C2×C4—64no—
610C2×C4—64no—
611C2×C4—64no—
612C2×C4—64no—
613C2×C4—62no—
614C2×C4—62no—
615C2×C4—64no—
616C2×C4—64no—
617C2×C4—64no—
618C2×C4—62no—
619C2×C4—64no—
620C2×C4—1216no—
621C2×C4—1216no—
622C2×C4—122no—
623C2×C4—122no—
624C2×C4—122no—
625C2×C4—122no—
626C2×C4—122no—
627C2×C4—122no—
628C2×C4—122no—
629C2×C4—122no—
630C2×C4—122no—
631C2×C4—122no—
632C2×C4—122no—
633C2×C4—121no—
634C2×C4—121no—
635C2×C4—121no—
636C2×C4—121no—
637C2×C4—122no—
638C2×C4—122no—
639C2×C4—121no—
640C2×C4—121no—
641C2×C4—122no—
642C2×C4C2×C4⋊Dic318yescomplemented
643C2×C4D4×Dic318yes—
644C2×C3—28no—
645C2×C3C2×#38911yescharacteristic
646C2×C3C4×#12011yescharacteristic
647C2×C3#232211yescharacteristic
648C2×C3D4×C4⋊C412yes—
649C2×C3#236012yes—
650C2×C3#241011yescharacteristic
651C2×C3#241311yescharacteristic
652C2×C3#243411yescharacteristic
653C2×C3#244912yes—
654C2×C3#247312yes—
655C2×C3#258311yescharacteristic
656C22—28no—
657C22—24no—
658C22—24no—
659C22—24no—
660C22—28no—
661C22—24no—
662C22—24no—
663C22—28no—
664C22—28no—
665C22—24no—
666C22#498418yescomplemented
667C22C2×#88811yescharacteristic
668C22C2×#89011yescharacteristic
669C22C2×#89511yescharacteristic
670C22C2×#89711yescharacteristic
671C22D4×Dic612yes—
672C22#554312yes—
673C22D4×D1212yes—
674C22#555512yes—
675C22#558611yescharacteristic
676C22#558612yes—
677C22D3×#12011yescharacteristic
678C22#563012yes—
679C22#563212yes—
680C22#563512yes—
681C22#564212yes—
682C22#564811yescharacteristic
683C22#565311yescharacteristic
684C22#566512yes—
685C22C22×C4⋊Dic311yescharacteristic
686C22C2×D4×Dic312yes—
687C22C2×D4×Dic311yescharacteristic
688C22C2×Q8×Dic311yescharacteristic
689C22#582712yes—
690C4—28no—
691C4—28no—
692C4—42no—
693C4—42no—
694C4—64no—
695C4—122no—
696C4—124no—
697C4—124no—
698C4—241no—
699C4—241no—
700C3#1404311yescharacteristic, complemented, Sylow
701C2—28no—
702C2#7440711yescharacteristic
703C2#7441211yescharacteristic
704C2#7442212yes—
705C2#7444212yes—
706C2#7448811yescharacteristic
707C2#7460111yescharacteristic
708C2C2×#498411yescharacteristic
709C2D4×C4⋊Dic312yes—
710C2Dic3×#12011yescharacteristic
711C2#8274712yes—
712C2#8283611yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
FittingC2×C3×#385C2
socle, cosocleC24×C3C24
prime radicalC25×C3C23
hypercenterC2×#385D3
hypocenterC3#14043
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
3. C2×#4984C2semidirect
8. #71565C2semidirect
10. #69419C2semidirect
11. #69407C2semidirect
29. C3×#385C4semidirect
82. C2×C3×C4⋊C4C2×C4semidirect
112. C3×#95C2×C4semidirect
140. #385Dic3semidirect
238. C3×C22⋊C4C4⋊C4semidirect
289. C2×C4⋊C4C2×Dic3semidirect
313. #95C2×Dic3semidirect
371. C2×C3×C4C2×C4⋊C4semidirect
503. C22⋊C4C4⋊Dic3semidirect
515. C22×C3#389semidirect
642. C2×C4C2×C4⋊Dic3semidirect
666. C22#4984semidirect
700. C3#14043semidirect

Maximal subgroups

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

subgroupindex
C23×C4⋊Dic32
C2×C3×#3852
C2×#49842
C2×#49502
C2×Dic3×C22⋊C42
#721272
#715652
#715442
#694192
#694072
#140433