Finite Group Databasebeta

← #10728718

Subgroups — #10728718

Order 768.

2086 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×Q8×Dic3C211yesmaximal, characteristic, complemented
2C2×C3×#393C211yesmaximal, characteristic, complemented
3C2×#5231C211yesmaximal, characteristic, complemented
4C2×#4961C212yesmaximal
5C2×#4957C211yesmaximal, characteristic
6#71546C211yesmaximal, characteristic, complemented
7#71545C212yesmaximal, complemented
8#69427C211yesmaximal, characteristic, complemented
9#69411C212yesmaximal, complemented
10#69408C212yesmaximal, complemented
11#69403C211yesmaximal, characteristic, complemented
12#14883—31nomaximal, Sylow
13C23×C3×Q8C2211yescharacteristic
14C23×#67C2211yescharacteristic
15C22×C3×C22⋊C4C2212yes—
16C22×C3×C22⋊C4C2211yescharacteristic
17C22×#217C2211yescharacteristic
18C22×#217C2212yes—
19C2×Q8×Dic3—28no—
20C2×Q8×Dic3—24no—
21C22×(C2×D3)⋊C4C2211yescharacteristic
22C22×(C2×D3)⋊C4C2212yes—
23C22×(C2×D3)⋊C4C2211yescharacteristic
24C22×(C2×D3)⋊C4C2212yes—
25C22×C4⋊Dic3C2211yescharacteristic
26C22×C4⋊Dic3C2212yes—
27C22×Dic3⋊C4C2211yescharacteristic
28C22×C4×Dic3C2212yes—
29C22×C4×Dic3C2211yescharacteristic
30C3×#393—24no—
31C2×C3×#95C2211yescharacteristic
32C2×C3×#95C2212yes—
33#5231—24no—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2212yes—
36C2×C3⋊#95C2211yescharacteristic
37C2×C3⋊#95C2212yes—
38C2×C3⋊#95C2212yes—
39C2×C3⋊#95C2212yes—
40#4961—28no—
41#4957—24no—
42C22×C4×Q8—31no—
43C2×#394—32no—
44C2×#393—31no—
45C2×#393D311yescharacteristic, complemented
46C2×#390—31no—
47#1441—32no—
48#1439—31no—
49#1439—31no—
50#1437—32no—
51#1437—32no—
52#1434—31no—
53C25×C3C2311yescharacteristic
54C24×D3C2311yescharacteristic
55C22×C3×Q8—24no—
56C22×C3×Q8—22no—
57C22×C3×Q8—24no—
58C22×C3×Q8—22no—
59C22×C3×Q8D414yescomplemented
60C23×C3×C4C2312yes—
61C23×C3×C4C2311yescharacteristic
62C23×C3×C4C2312yes—
63C23×C3×C4C2311yescharacteristic
64C22×#67—22no—
65C22×#67—22no—
66C22×#67—22no—
67C22×#67—24no—
68C22×#67—42no—
69C23×Dic3C2312yes—
70C23×Dic3C2311yescharacteristic
71C23×Dic3C2312yes—
72C23×Dic3C2311yescharacteristic
73C23×Dic3C2311yescharacteristic
74C2×C3×C22⋊C4—22no—
75C2×C3×C22⋊C4—24no—
76C2×C3×C22⋊C4—24no—
77C2×C3×C22⋊C4—22no—
78C2×C3×C22⋊C4—24no—
79C2×C3×C22⋊C4—22no—
80C2×#217—24no—
81C2×#217—22no—
82C2×#217—24no—
83C2×#217—24no—
84C2×#217—42no—
85Q8×Dic3—232no—
86C2×(C2×D3)⋊C4—24no—
87C2×(C2×D3)⋊C4—22no—
88C2×(C2×D3)⋊C4—24no—
89C2×(C2×D3)⋊C4—24no—
90C2×(C2×D3)⋊C4—22no—
91C2×(C2×D3)⋊C4—24no—
92C2×(C2×D3)⋊C4—22no—
93C2×(C2×D3)⋊C4—22no—
94C2×(C2×D3)⋊C4—24no—
95C2×(C2×D3)⋊C4—24no—
96C2×(C2×D3)⋊C4—42no—
97C2×C4⋊Dic3—22no—
98C2×C4⋊Dic3—24no—
99C2×C4⋊Dic3—24no—
100C2×C4⋊Dic3—24no—
101C2×C4⋊Dic3D418yes—
102C2×Dic3⋊C4—22no—
103C2×Dic3⋊C4—42no—
104C2×C4×Dic3—24no—
105C2×C4×Dic3—24no—
106C2×C4×Dic3—24no—
107C2×C4×Dic3—24no—
108C2×C4×Dic3D414yes—
109C3×#95—22no—
110C3×#95—24no—
111C3⋊#95—22no—
112C3⋊#95—24no—
113C3⋊#95—24no—
114C3⋊#95—24no—
115C3⋊#95—42no—
116C3⋊#95—42no—
117C23×Q8C2×D311yescharacteristic
118C23×D4—31no—
119C2×C4×Q8—64no—
120C2×C4×Q8—68no—
121C22×C4⋊C4—32no—
122C22×C4⋊C4—31no—
123C22×C4⋊C4—31no—
124C22×C22⋊C4—31no—
125C22×C22⋊C4—32no—
126C22×C22⋊C4—31no—
127C22×C22⋊C4—31no—
128C22×C22⋊C4—32no—
129C22×C22⋊C4—32no—
130C22×C22⋊C4C2×D312yes—
131C22×C22⋊C4C2×D311yescharacteristic
132C22×C42—31no—
133C22×C42—32no—
134#394—68no—
135#393—24no—
136#393—64no—
137#390—64no—
138C2×#95—31no—
139C2×#95—32no—
140C2×#95—32no—
141C2×#95—32no—
142C2×#95—32no—
143C2×#95—32no—
144C2×#95C2×D311yescharacteristic
145C2×#95C2×D312yes—
146C24×C3—21no—
147C24×C3—22no—
148C24×C3—21no—
149C24×C3—22no—
150C24×C3—22no—
151C24×C3—21no—
152C24×C3—21no—
153C24×C3—22no—
154C24×C3—21no—
155C24×C3—21no—
156C24×C3#4112yes—
157C24×C3C2411yescharacteristic
158C23×D3—21no—
159C23×D3—21no—
160C23×D3—22no—
161C23×D3—22no—
162C23×D3—21no—
163C23×D3—22no—
164C23×D3—21no—
165C23×D3—22no—
166C23×D3—21no—
167C23×D3—21no—
168C23×D3#4112yes—
169C2×C3×Q8—28no—
170C2×C3×Q8—28no—
171C2×C3×Q8—216no—
172C2×C3×Q8—216no—
173C2×C3×Q8—28no—
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—22no—
181C22×C3×C4—22no—
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—21no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—22no—
192C22×C3×C4C2×D414yes—
193C22×C3×C4C2×D412yes—
194C22×C3×C4C2×D412yes—
195C22×C3×C4C2×D414yes—
196C22×C3×C4#4114yes—
197C22×C3×C4#4112yes—
198C2×#67—28no—
199C2×#67—48no—
200C2×#67—48no—
201C2×#67—44no—
202C2×#67—44no—
203C22×Dic3—22no—
204C22×Dic3—21no—
205C22×Dic3—21no—
206C22×Dic3—22no—
207C22×Dic3—21no—
208C22×Dic3—21no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—22no—
216C22×Dic3—21no—
217C22×Dic3—22no—
218C22×Dic3—21no—
219C22×Dic3—22no—
220C22×Dic3—22no—
221C22×Dic3—21no—
222C22×Dic3—22no—
223C22×Dic3—22no—
224C22×Dic3—22no—
225C22×Dic3—22no—
226C22×Dic3—22no—
227C22×Dic3C2×D414yes—
228C22×Dic3C2×D414yes—
229C22×Dic3C2×D412yes—
230C22×Dic3C2×D412yes—
231C22×Dic3#4114yes—
232C3×C22⋊C4—44no—
233C3×C22⋊C4—48no—
234#217—48no—
235#217—44no—
236(C2×D3)⋊C4—48no—
237(C2×D3)⋊C4—44no—
238(C2×D3)⋊C4—48no—
239(C2×D3)⋊C4—44no—
240C4⋊Dic3—28no—
241C4⋊Dic3—216no—
242Dic3⋊C4—44no—
243C4×Dic3—216no—
244C4×Dic3—28no—
245C25—31no—
246C25C22×D311yescharacteristic
247C22×Q8—22no—
248C22×Q8—24no—
249C22×Q8—22no—
250C22×Q8—24no—
251C22×Q8#6714yescomplemented
252C22×D4—62no—
253C22×D4—64no—
254C22×D4—62no—
255C22×D4—62no—
256C22×D4—122no—
257C23×C4—31no—
258C23×C4—31no—
259C23×C4—32no—
260C23×C4—31no—
261C23×C4—32no—
262C23×C4C22×D311yescharacteristic
263C23×C4C22×D312yes—
264C23×C4C22×D311yescharacteristic
265C23×C4C22×D312yes—
266C4×Q8—632no—
267C2×C4⋊C4—38no—
268C2×C4⋊C4—64no—
269C2×C4⋊C4—64no—
270C2×C4⋊C4—64no—
271C2×C4⋊C4—62no—
272C2×C4⋊C4—62no—
273C2×C4⋊C4—122no—
274C2×C22⋊C4—22no—
275C2×C22⋊C4—24no—
276C2×C22⋊C4—24no—
277C2×C22⋊C4—22no—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—22no—
280C2×C22⋊C4—62no—
281C2×C22⋊C4—64no—
282C2×C22⋊C4—64no—
283C2×C22⋊C4—64no—
284C2×C22⋊C4—62no—
285C2×C22⋊C4—64no—
286C2×C22⋊C4—64no—
287C2×C22⋊C4—64no—
288C2×C22⋊C4—62no—
289C2×C22⋊C4—64no—
290C2×C22⋊C4—64no—
291C2×C22⋊C4—62no—
292C2×C22⋊C4—64no—
293C2×C22⋊C4—62no—
294C2×C22⋊C4—122no—
295C2×C22⋊C4—122no—
296C2×C42—34no—
297C2×C42—64no—
298C2×C42—64no—
299C2×C42—64no—
300C2×C42—64no—
301#95—22no—
302#95—24no—
303#95—64no—
304#95—64no—
305#95—62no—
306#95—64no—
307#95—122no—
308#95—122no—
309C23×C3—22no—
310C23×C3—24no—
311C23×C3—24no—
312C23×C3—22no—
313C23×C3—22no—
314C23×C3—41no—
315C23×C3—42no—
316C23×C3—41no—
317C23×C3—41no—
318C23×C3—42no—
319C23×C3—41no—
320C23×C3—42no—
321C23×C3—41no—
322C23×C3—41no—
323C23×C3—42no—
324C23×C3—42no—
325C23×C3—42no—
326C23×C3—42no—
327C23×C3—42no—
328C23×C3—41no—
329C23×C3—42no—
330C23×C3—41no—
331C23×C3—42no—
332C23×C3C22×D411yescharacteristic
333C23×C3C22×D412yes—
334C23×C3C22×D411yescharacteristic
335C23×C3C2×#4112yes—
336C23×C3C2×#4111yescharacteristic
337C23×C3C2×#4111yescharacteristic
338C23×C3C2×#4111yescharacteristic
339C23×C3C2×#4112yes—
340C23×C3H(5,𝔽2)12yes—
341C23×C32−1+411yescharacteristic
342C23×C32−1+411yescharacteristic
343C22×D3—22no—
344C22×D3—24no—
345C22×D3—24no—
346C22×D3—22no—
347C22×D3—22no—
348C22×D3—41no—
349C22×D3—42no—
350C22×D3—41no—
351C22×D3—41no—
352C22×D3—42no—
353C22×D3—41no—
354C22×D3—42no—
355C22×D3—41no—
356C22×D3—41no—
357C22×D3—42no—
358C22×D3—42no—
359C22×D3—42no—
360C22×D3—42no—
361C22×D3—42no—
362C22×D3—41no—
363C22×D3—42no—
364C22×D3—41no—
365C22×D3—42no—
366C3×Q8—232no—
367C2×C3×C4—24no—
368C2×C3×C4—22no—
369C2×C3×C4—24no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—22no—
373C2×C3×C4—24no—
374C2×C3×C4—24no—
375C2×C3×C4—24no—
376C2×C3×C4—24no—
377C2×C3×C4—42no—
378C2×C3×C4—41no—
379C2×C3×C4—41no—
380C2×C3×C4—42no—
381C2×C3×C4—41no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4—42no—
385C2×C3×C4—42no—
386C2×C3×C4—42no—
387C2×C3×C4—42no—
388C2×C3×C4—42no—
389C2×C3×C4#12118yes—
390C2×C3×C4#12114yes—
391#67—416no—
392C2×Dic3—22no—
393C2×Dic3—22no—
394C2×Dic3—22no—
395C2×Dic3—22no—
396C2×Dic3—24no—
397C2×Dic3—24no—
398C2×Dic3—24no—
399C2×Dic3—24no—
400C2×Dic3—24no—
401C2×Dic3—24no—
402C2×Dic3—24no—
403C2×Dic3—42no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—42no—
407C2×Dic3—42no—
408C2×Dic3—41no—
409C2×Dic3—41no—
410C2×Dic3—42no—
411C2×Dic3—41no—
412C2×Dic3—42no—
413C2×Dic3—42no—
414C2×Dic3—42no—
415C2×Dic3—42no—
416C2×Dic3—42no—
417C2×Dic3—42no—
418C2×Dic3—42no—
419C2×Dic3#12014yes—
420C2×Dic3#12414yes—
421C24—21no—
422C24—22no—
423C24—21no—
424C24—22no—
425C24—21no—
426C24—22no—
427C24—21no—
428C24—22no—
429C24—21no—
430C24—21no—
431C24—32no—
432C24—62no—
433C24—61no—
434C24—61no—
435C24—62no—
436C24—61no—
437C24—61no—
438C24—62no—
439C24—62no—
440C24—61no—
441C24—61no—
442C24#23912yes—
443C24C23×D311yescharacteristic
444C2×Q8—28no—
445C2×Q8—28no—
446C2×Q8—216no—
447C2×Q8—28no—
448C2×Q8—216no—
449C2×D4—68no—
450C2×D4—124no—
451C2×D4—128no—
452C2×D4—128no—
453C2×D4—124no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—34no—
473C22×C4—32no—
474C22×C4—32no—
475C22×C4—34no—
476C22×C4—34no—
477C22×C4—62no—
478C22×C4—61no—
479C22×C4—61no—
480C22×C4—61no—
481C22×C4—62no—
482C22×C4—61no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—61no—
491C22×C4—62no—
492C22×C4—61no—
493C22×C4—62no—
494C22×C4—62no—
495C22×C4—62no—
496C22×C4—62no—
497C22×C4—62no—
498C22×C4—62no—
499C22×C4—62no—
500C22×C4—61no—
501C22×C4D3×D412yes—
502C22×C4D3×D414yes—
503C22×C4#23712yes—
504C22×C4#23714yes—
505C22×C4C2×#6714yes—
506C22×C4C2×#6712yes—
507C4⋊C4—616no—
508C4⋊C4—68no—
509C4⋊C4—124no—
510C22⋊C4—44no—
511C22⋊C4—48no—
512C22⋊C4—124no—
513C22⋊C4—124no—
514C22⋊C4—128no—
515C22⋊C4—128no—
516C22⋊C4—124no—
517C22⋊C4—128no—
518C42—68no—
519C42—616no—
520C22×C3—42no—
521C22×C3—42no—
522C22×C3—44no—
523C22×C3—44no—
524C22×C3—42no—
525C22×C3—81no—
526C22×C3—81no—
527C22×C3—82no—
528C22×C3—81no—
529C22×C3—82no—
530C22×C3—81no—
531C22×C3C2×#12011yescharacteristic
532C22×C3C2×#12112yes—
533C22×C3C2×#12111yescharacteristic
534C22×C3#52511yescharacteristic
535C22×C3#52512yes—
536C22×C3#52511yescharacteristic
537C22×C3C2×#12411yescharacteristic
538C22×C3#52912yes—
539C22×C3#52912yes—
540C22×C3#53511yescharacteristic
541C22×C3#53611yescharacteristic
542C22×C3#54212yes—
543C22×C3#54212yes—
544C22×C3#54612yes—
545C22×C3#54612yes—
546C22×C3#54812yes—
547C22×C3#54812yes—
548C22×C3#54811yescharacteristic
549C22×C3#54811yescharacteristic
550C22×C3#55012yes—
551C22×C3#55211yescharacteristic
552C22×C3#55211yescharacteristic
553C22×C3#55912yes—
554C2×D3—42no—
555C2×D3—42no—
556C2×D3—44no—
557C2×D3—44no—
558C2×D3—42no—
559C2×D3—81no—
560C2×D3—81no—
561C2×D3—82no—
562C2×D3—81no—
563C2×D3—82no—
564C2×D3—81no—
565C3×C4—28no—
566C3×C4—24no—
567C3×C4—82no—
568C3×C4—81no—
569Dic3—24no—
570Dic3—24no—
571Dic3—44no—
572Dic3—82no—
573Dic3—81no—
574C23—22no—
575C23—22no—
576C23—24no—
577C23—22no—
578C23—24no—
579C23—42no—
580C23—41no—
581C23—42no—
582C23—41no—
583C23—41no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—41no—
591C23—41no—
592C23—42no—
593C23—41no—
594C23—42no—
595C23—41no—
596C23—41no—
597C23—62no—
598C23—64no—
599C23—64no—
600C23—62no—
601C23—62no—
602C23—122no—
603C23—121no—
604C23—122no—
605C23—121no—
606C23—121no—
607C23—122no—
608C23—122no—
609C23—122no—
610C23—122no—
611C23—121no—
612C23—121no—
613C23—122no—
614C23—121no—
615C23—122no—
616C23—121no—
617C23—122no—
618C23—121no—
619C23—122no—
620C23C2×D3×D412yes—
621C23C2×D3×D411yescharacteristic
622C23C2×#23711yescharacteristic
623C23C2×#23712yes—
624C23C2×#23911yescharacteristic
625C23#100711yescharacteristic
626C23D3×#4112yes—
627C23D3×#4111yescharacteristic
628C23#100912yes—
629C23#101011yescharacteristic
630C23C22×#6711yescharacteristic
631Q8—232no—
632D4—1216no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—34no—
644C2×C4—34no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—64no—
658C2×C4—62no—
659C2×C4—64no—
660C2×C4—64no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—64no—
665C2×C4—64no—
666C2×C4—64no—
667C2×C4—64no—
668C2×C4—122no—
669C2×C4—122no—
670C2×C4—122no—
671C2×C4—122no—
672C2×C4—122no—
673C2×C4—122no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—122no—
677C2×C4—121no—
678C2×C4—122no—
679C2×C4—122no—
680C2×C4—122no—
681C2×C4—122no—
682C2×C4—122no—
683C2×C4—122no—
684C2×C4#93914yes—
685C2×C4#93918yes—
686C2×C3—82no—
687C2×C3#239811yescharacteristic
688C2×C3#240411yescharacteristic
689C2×C3#242612yes—
690C2×C3#242612yes—
691C2×C3#243611yescharacteristic
692C2×C3#245812yes—
693C2×C3#245812yes—
694C2×C3#253611yescharacteristic
695C2×C3#254811yescharacteristic
696C2×C3#263211yescharacteristic
697C2×C3#284711yescharacteristic
698D3—82no—
699C22—42no—
700C22—44no—
701C22—42no—
702C22—42no—
703C22—44no—
704C22—81no—
705C22—81no—
706C22—82no—
707C22—81no—
708C22—81no—
709C22—82no—
710C22—124no—
711C22—122no—
712C22—122no—
713C22—122no—
714C22—124no—
715C22—241no—
716C22—241no—
717C22—242no—
718C22—241no—
719C22—241no—
720C22—242no—
721C22#558611yescharacteristic
722C22#558612yes—
723C22D3×#12011yescharacteristic
724C22#562412yes—
725C22#562711yescharacteristic
726C22#562811yescharacteristic
727C22#563012yes—
728C22#563312yes—
729C22#563911yescharacteristic
730C22#564211yescharacteristic
731C22#564312yes—
732C22D3×#12411yescharacteristic
733C22#567411yescharacteristic
734C22#567612yes—
735C22#567712yes—
736C22#568012yes—
737C22#568112yes—
738C22#568212yes—
739C22C2×#93911yescharacteristic
740C22C2×#93912yes—
741C22#581711yescharacteristic
742C22#583111yescharacteristic
743C22#583412yes—
744C4—28no—
745C4—24no—
746C4—64no—
747C4—64no—
748C4—81no—
749C4—82no—
750C4—124no—
751C4—241no—
752C4—242no—
753C3#1488311yescharacteristic, complemented, Sylow
754C2—82no—
755C2—242no—
756C2#7677911yescharacteristic
757C2#7678111yescharacteristic
758C2#7678412yes—
759C2#7678512yes—
760C2#7681211yescharacteristic
761C2#7686311yescharacteristic
762C2#8260111yescharacteristic
763C2#8275512yes—
764C2#8277711yescharacteristic
765C2#8297411yescharacteristic
766C2#8299512yes—
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC2×C3×#393C2
prime radicalC23×#67C22
hypercenterC2×#393D3
hypocenterC3#14883
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#393

Complements

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

NH ≅ G/Ntype
1. C22×Q8×Dic3C2semidirect
2. C2×C3×#393C2semidirect
3. C2×#5231C2semidirect
6. #71546C2semidirect
7. #71545C2semidirect
8. #69427C2semidirect
9. #69411C2semidirect
10. #69408C2semidirect
11. #69403C2semidirect
45. C2×#393D3semidirect
59. C22×C3×Q8D4semidirect
251. C22×Q8#67semidirect
753. C3#14883semidirect

Maximal subgroups

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

subgroupindex
C22×Q8×Dic32
C2×C3×#3932
C2×#52312
C2×#49612
C2×#49572
#715462
#715452
#694272
#694112
#694082
#694032
#148833