Finite Group Databasebeta

← #10728175

Subgroups — #10728175

Order 768.

1962 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C22⋊C4C211yesmaximal, characteristic, complemented
2C2×#5213C211yesmaximal, characteristic
3C2×#5212C211yesmaximal, characteristic, complemented
4C2×#4953C212yesmaximal, complemented
5C2×#4961C212yesmaximal
6C2×#4677C211yesmaximal, characteristic, complemented
7#71537C212yesmaximal, complemented
8#71535C212yesmaximal, complemented
9#69427C211yesmaximal, characteristic, complemented
10#69422C211yesmaximal, characteristic, complemented
11#69419C211yesmaximal, characteristic, complemented
12#14839—31nomaximal, Sylow
13C24×C3×C4C2211yescharacteristic
14C23×#67C2211yescharacteristic
15C22×C3×C22⋊C4C2212yes—
16C22×C3×C42C2212yes—
17C22×#217C2212yes—
18C22×#217C2211yescharacteristic
19C22×(C2×D3)⋊C4C2211yescharacteristic
20C22×(C2×D3)⋊C4C2211yescharacteristic
21C22×(C2×D3)⋊C4C2212yes—
22C22×(C2×D3)⋊C4C2212yes—
23C22×C4⋊Dic3C2211yescharacteristic
24C22×C4⋊Dic3C2212yes—
25C22×C4⋊Dic3C2212yes—
26C22×C4⋊Dic3C2211yescharacteristic
27C3×C4×C22⋊C4—24no—
28C2×C3×#95C2211yescharacteristic
29C2×C3×#95C2211yescharacteristic
30#5213—24no—
31#5212—24no—
32C2×C3⋊#95C2211yescharacteristic
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2212yes—
36C2×C3⋊#95C2212yes—
37C2×C3⋊#95C2212yes—
38C2×C3⋊#95C2211yescharacteristic
39#4961—28no—
40#4953—28no—
41#4677—24no—
42C2×#399—31no—
43C2×#397—32no—
44C2×#394—32no—
45C2×#386—31no—
46C2×#380—31no—
47C2×C4×C22⋊C4D311yescharacteristic, complemented
48#1445—31no—
49#1444—31no—
50#1439—31no—
51#1437—32no—
52C4⋊#95—32no—
53C25×C3C2311yescharacteristic
54C24×D3C2311yescharacteristic
55C23×C3×C4—22no—
56C23×C3×C4—22no—
57C23×C3×C4—24no—
58C23×C3×C4—42no—
59C23×C3×C4D414yes—
60C23×C3×C4C2312yes—
61C23×C3×C4C2311yescharacteristic
62C23×C3×C4C2312yes—
63C23×C3×C4C2311yescharacteristic
64C22×#67—22no—
65C22×#67—22no—
66C22×#67—24no—
67C22×#67—22no—
68C22×#67—42no—
69C23×Dic3C2311yescharacteristic
70C23×Dic3C2312yes—
71C23×Dic3C2312yes—
72C23×Dic3C2311yescharacteristic
73C23×Dic3C2311yescharacteristic
74C2×C3×C22⋊C4—24no—
75C2×C3×C22⋊C4—24no—
76C2×C3×C22⋊C4D418yes—
77C2×C3×C42—24no—
78C2×C3×C42—24no—
79C2×C3×C42—42no—
80C2×#217—24no—
81C2×#217—24no—
82C2×#217—24no—
83C2×#217—22no—
84C2×#217—24no—
85C2×(C2×D3)⋊C4—24no—
86C2×(C2×D3)⋊C4—22no—
87C2×(C2×D3)⋊C4—24no—
88C2×(C2×D3)⋊C4—22no—
89C2×(C2×D3)⋊C4—22no—
90C2×(C2×D3)⋊C4—24no—
91C2×(C2×D3)⋊C4—24no—
92C2×(C2×D3)⋊C4—24no—
93C2×(C2×D3)⋊C4—22no—
94C2×(C2×D3)⋊C4—24no—
95C2×(C2×D3)⋊C4—42no—
96C2×C4⋊Dic3—22no—
97C2×C4⋊Dic3—24no—
98C2×C4⋊Dic3—24no—
99C2×C4⋊Dic3—22no—
100C2×C4⋊Dic3—22no—
101C2×C4⋊Dic3—24no—
102C2×C4⋊Dic3—24no—
103C2×C4⋊Dic3—22no—
104C2×C4⋊Dic3—24no—
105C2×C4⋊Dic3—42no—
106C2×C4⋊Dic3—42no—
107C3×#95—22no—
108C3×#95D414yescomplemented
109C3⋊#95—24no—
110C3⋊#95—24no—
111C3⋊#95—24no—
112C3⋊#95—24no—
113C3⋊#95—22no—
114C3⋊#95—22no—
115C3⋊#95—24no—
116C23×D4—31no—
117C24×C4C2×D311yescharacteristic
118C22×C4⋊C4—32no—
119C22×C4⋊C4—31no—
120C22×C4⋊C4—32no—
121C22×C4⋊C4—31no—
122C22×C22⋊C4—32no—
123C22×C22⋊C4—31no—
124C22×C22⋊C4—32no—
125C22×C22⋊C4—31no—
126C22×C22⋊C4—31no—
127C22×C22⋊C4—32no—
128C22×C22⋊C4C2×D312yes—
129C22×C42C2×D312yes—
130#399—64no—
131#397—68no—
132#394—68no—
133#386—64no—
134#380—64no—
135C4×C22⋊C4—24no—
136C2×#95—32no—
137C2×#95—32no—
138C2×#95—32no—
139C2×#95—32no—
140C2×#95—31no—
141C2×#95—32no—
142C2×#95—31no—
143C2×#95C2×D311yescharacteristic
144C2×#95C2×D311yescharacteristic
145C24×C3—21no—
146C24×C3—22no—
147C24×C3—21no—
148C24×C3—21no—
149C24×C3—21no—
150C24×C3—22no—
151C24×C3—22no—
152C24×C3—21no—
153C24×C3—21no—
154C24×C3C2×D414yes—
155C24×C3C2×D412yes—
156C24×C3C2411yescharacteristic
157C23×D3—21no—
158C23×D3—21no—
159C23×D3—22no—
160C23×D3—22no—
161C23×D3—21no—
162C23×D3—22no—
163C23×D3—21no—
164C23×D3—22no—
165C23×D3—21no—
166C23×D3—21no—
167C23×D3#4112yes—
168C22×C3×C4—21no—
169C22×C3×C4—22no—
170C22×C3×C4—22no—
171C22×C3×C4—21no—
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—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—28no—
184C22×C3×C4—28no—
185C22×C3×C4—44no—
186C22×C3×C4—48no—
187C22×C3×C4—48no—
188C22×C3×C4C2×D414yes—
189C22×C3×C4C2×D414yes—
190C22×C3×C4C2×D412yes—
191C22×C3×C4C2×D412yes—
192C22×C3×C4C2×D412yes—
193C22×C3×C4C2×D414yes—
194C22×C3×C4#4114yes—
195C22×C3×C4#4112yes—
196C22×C3×C4#4114yes—
197C2×#67—28no—
198C2×#67—48no—
199C2×#67—48no—
200C2×#67—44no—
201C2×#67—44no—
202C22×Dic3—21no—
203C22×Dic3—22no—
204C22×Dic3—21no—
205C22×Dic3—22no—
206C22×Dic3—22no—
207C22×Dic3—22no—
208C22×Dic3—22no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—21no—
213C22×Dic3—22no—
214C22×Dic3—21no—
215C22×Dic3—22no—
216C22×Dic3—21no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—22no—
220C22×Dic3—22no—
221C22×Dic3—22no—
222C22×Dic3—22no—
223C22×Dic3—21no—
224C22×Dic3—22no—
225C22×Dic3—22no—
226C22×Dic3—22no—
227C22×Dic3—22no—
228C22×Dic3—21no—
229C22×Dic3—21no—
230C22×Dic3#4112yes—
231C3×C22⋊C4—216no—
232C3×C42—48no—
233#217—44no—
234#217—48no—
235(C2×D3)⋊C4—48no—
236(C2×D3)⋊C4—48no—
237(C2×D3)⋊C4—44no—
238(C2×D3)⋊C4—44no—
239C4⋊Dic3—48no—
240C4⋊Dic3—44no—
241C4⋊Dic3—48no—
242C4⋊Dic3—44no—
243C25—31no—
244C25C22×D311yescharacteristic
245C22×D4—62no—
246C22×D4—62no—
247C22×D4—62no—
248C22×D4—64no—
249C22×D4—122no—
250C23×C4—22no—
251C23×C4—24no—
252C23×C4—22no—
253C23×C4—31no—
254C23×C4—32no—
255C23×C4—32no—
256C23×C4—31no—
257C23×C4—31no—
258C23×C4—42no—
259C23×C4D1214yes—
260C23×C4C22×D312yes—
261C23×C4C22×D312yes—
262C23×C4C22×D311yescharacteristic
263C23×C4C22×D311yescharacteristic
264C2×C4⋊C4—64no—
265C2×C4⋊C4—62no—
266C2×C4⋊C4—62no—
267C2×C4⋊C4—64no—
268C2×C4⋊C4—64no—
269C2×C4⋊C4—64no—
270C2×C4⋊C4—62no—
271C2×C4⋊C4—62no—
272C2×C4⋊C4—64no—
273C2×C4⋊C4—122no—
274C2×C4⋊C4—122no—
275C2×C22⋊C4—24no—
276C2×C22⋊C4—24no—
277C2×C22⋊C4—64no—
278C2×C22⋊C4—64no—
279C2×C22⋊C4—62no—
280C2×C22⋊C4—64no—
281C2×C22⋊C4—64no—
282C2×C22⋊C4—64no—
283C2×C22⋊C4—62no—
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—62no—
291C2×C22⋊C4—64no—
292C2×C22⋊C4—122no—
293C2×C22⋊C4D1218yes—
294C2×C42—24no—
295C2×C42—24no—
296C2×C42—42no—
297#95—22no—
298#95—64no—
299#95—62no—
300#95—62no—
301#95—64no—
302#95—64no—
303#95—64no—
304#95—64no—
305#95#6714yescomplemented
306C23×C3—24no—
307C23×C3—22no—
308C23×C3—22no—
309C23×C3—22no—
310C23×C3—22no—
311C23×C3—24no—
312C23×C3—22no—
313C23×C3—22no—
314C23×C3—24no—
315C23×C3—24no—
316C23×C3—24no—
317C23×C3—24no—
318C23×C3—42no—
319C23×C3—42no—
320C23×C3—42no—
321C23×C3—42no—
322C23×C3—42no—
323C23×C3—41no—
324C23×C3—41no—
325C23×C3—42no—
326C23×C3—41no—
327C23×C3—41no—
328C23×C3#12714yes—
329C23×C3C22×D411yescharacteristic
330C23×C3C22×D412yes—
331C23×C3C22×D411yescharacteristic
332C23×C3C2×#4112yes—
333C23×C3C2×#4111yescharacteristic
334C23×C3C2×#4112yes—
335C23×C3C2×#4111yescharacteristic
336C23×C3C2×#4111yescharacteristic
337C23×C3H(5,𝔽2)12yes—
338C23×C32−1+411yescharacteristic
339C23×C32−1+411yescharacteristic
340C22×D3—22no—
341C22×D3—24no—
342C22×D3—24no—
343C22×D3—22no—
344C22×D3—22no—
345C22×D3—41no—
346C22×D3—42no—
347C22×D3—41no—
348C22×D3—42no—
349C22×D3—41no—
350C22×D3—41no—
351C22×D3—42no—
352C22×D3—41no—
353C22×D3—41no—
354C22×D3—42no—
355C22×D3—42no—
356C22×D3—42no—
357C22×D3—42no—
358C22×D3—42no—
359C22×D3—42no—
360C22×D3—41no—
361C22×D3—42no—
362C22×D3—41no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—24no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—24no—
369C2×C3×C4—24no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—24no—
373C2×C3×C4—24no—
374C2×C3×C4—24no—
375C2×C3×C4—24no—
376C2×C3×C4—24no—
377C2×C3×C4—24no—
378C2×C3×C4—24no—
379C2×C3×C4—24no—
380C2×C3×C4—416no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4—42no—
385C2×C3×C4#12118yes—
386C2×C3×C4#12114yes—
387C2×C3×C4#12314yes—
388#67—416no—
389C2×Dic3—22no—
390C2×Dic3—24no—
391C2×Dic3—41no—
392C2×Dic3—41no—
393C2×Dic3—42no—
394C2×Dic3—42no—
395C2×Dic3—42no—
396C2×Dic3—42no—
397C2×Dic3—41no—
398C2×Dic3—42no—
399C2×Dic3—41no—
400C2×Dic3—42no—
401C2×Dic3—41no—
402C2×Dic3—42no—
403C2×Dic3—41no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—41no—
407C2×Dic3—42no—
408C2×Dic3—42no—
409C2×Dic3—42no—
410C2×Dic3—42no—
411C2×Dic3—41no—
412C2×Dic3—42no—
413C2×Dic3—42no—
414C2×Dic3—42no—
415C2×Dic3—42no—
416C2×Dic3—42no—
417C2×Dic3—42no—
418C24—22no—
419C24—21no—
420C24—22no—
421C24—22no—
422C24—21no—
423C24—21no—
424C24—21no—
425C24—21no—
426C24—21no—
427C24—32no—
428C24—61no—
429C24—62no—
430C24—61no—
431C24—62no—
432C24—62no—
433C24—62no—
434C24—61no—
435C24—61no—
436C24—61no—
437C24—61no—
438C24C2×D1214yes—
439C24C2×D1212yes—
440C24C23×D311yescharacteristic
441C2×D4—68no—
442C2×D4—128no—
443C2×D4—128no—
444C2×D4—124no—
445C2×D4—124no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—28no—
462C22×C4—28no—
463C22×C4—32no—
464C22×C4—44no—
465C22×C4—48no—
466C22×C4—48no—
467C22×C4—61no—
468C22×C4—62no—
469C22×C4—62no—
470C22×C4—61no—
471C22×C4—62no—
472C22×C4—62no—
473C22×C4—61no—
474C22×C4—62no—
475C22×C4—61no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—61no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—62no—
495C22×C4C2×D1214yes—
496C22×C4C2×D1212yes—
497C22×C4C2×D1214yes—
498C22×C4C2×D1212yes—
499C22×C4#23514yes—
500C22×C4#23512yes—
501C22×C4#23714yes—
502C22×C4C2×#6712yes—
503C22×C4C2×#6714yes—
504C4⋊C4—128no—
505C4⋊C4—124no—
506C4⋊C4—128no—
507C4⋊C4—124no—
508C22⋊C4—216no—
509C22⋊C4—128no—
510C22⋊C4—128no—
511C22⋊C4—124no—
512C22⋊C4—124no—
513C22⋊C4—128no—
514C22⋊C4—124no—
515C42—48no—
516C22×C3—24no—
517C22×C3—24no—
518C22×C3—24no—
519C22×C3—42no—
520C22×C3—42no—
521C22×C3—42no—
522C22×C3—42no—
523C22×C3—44no—
524C22×C3—44no—
525C22×C3—44no—
526C22×C3—44no—
527C22×C3C2×#12111yescharacteristic
528C22×C3C2×#12112yes—
529C22×C3C2×#12311yescharacteristic
530C22×C3#52511yescharacteristic
531C22×C3#52912yes—
532C22×C3#52912yes—
533C22×C3C2×#12711yescharacteristic
534C22×C3#53211yescharacteristic
535C22×C3#53212yes—
536C22×C3#53411yescharacteristic
537C22×C3#53611yescharacteristic
538C22×C3#53912yes—
539C22×C3#54212yes—
540C22×C3#54612yes—
541C22×C3#54612yes—
542C22×C3#54612yes—
543C22×C3#54712yes—
544C22×C3#54712yes—
545C22×C3#54711yescharacteristic
546C22×C3#54811yescharacteristic
547C22×C3#55112yes—
548C22×C3#55211yescharacteristic
549C22×C3#55611yescharacteristic
550C2×D3—42no—
551C2×D3—42no—
552C2×D3—44no—
553C2×D3—42no—
554C2×D3—44no—
555C2×D3—81no—
556C2×D3—81no—
557C2×D3—81no—
558C2×D3—82no—
559C2×D3—81no—
560C2×D3—82no—
561C3×C4—24no—
562C3×C4—24no—
563C3×C4—28no—
564C3×C4—44no—
565Dic3—42no—
566Dic3—82no—
567Dic3—81no—
568Dic3—81no—
569Dic3—82no—
570C23—24no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—24no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—42no—
583C23—41no—
584C23—41no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—41no—
591C23—41no—
592C23—62no—
593C23—62no—
594C23—64no—
595C23—64no—
596C23—62no—
597C23—121no—
598C23—121no—
599C23—122no—
600C23—121no—
601C23—121no—
602C23—122no—
603C23—121no—
604C23—121no—
605C23—121no—
606C23—122no—
607C23—122no—
608C23—122no—
609C23—122no—
610C23—122no—
611C23—122no—
612C23—122no—
613C23—122no—
614C23—121no—
615C23#87414yes—
616C23C22×D1211yescharacteristic
617C23C22×D1212yes—
618C23C2×#23511yescharacteristic
619C23C2×#23512yes—
620C23C2×#23712yes—
621C23#100412yes—
622C23D3×#4111yescharacteristic
623C23D3×#4111yescharacteristic
624C23#101011yescharacteristic
625C23#101011yescharacteristic
626C23C22×#6711yescharacteristic
627D4—1216no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—416no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—62no—
651C2×C4—64no—
652C2×C4—121no—
653C2×C4—121no—
654C2×C4—122no—
655C2×C4—121no—
656C2×C4—122no—
657C2×C4—122no—
658C2×C4—121no—
659C2×C4—122no—
660C2×C4—122no—
661C2×C4—122no—
662C2×C4—121no—
663C2×C4—122no—
664C2×C4—121no—
665C2×C4—122no—
666C2×C4—122no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—122no—
670C2×C4—122no—
671C2×C4—122no—
672C2×C4—122no—
673C2×C4—122no—
674C2×C4—122no—
675C2×C4—122no—
676C2×C4—122no—
677C2×C4—122no—
678C2×C4—122no—
679C2×C4#88614yes—
680C2×C4#93018yes—
681C2×C4#93014yes—
682C2×C3—44no—
683C2×C3#239511yescharacteristic
684C2×C3#241211yescharacteristic
685C2×C3#241511yescharacteristic
686C2×C3#242512yes—
687C2×C3#242712yes—
688C2×C3#250111yescharacteristic
689C2×C3#252112yes—
690C2×C3#253911yescharacteristic
691C2×C3#255312yes—
692C2×C3#266311yescharacteristic
693C2×C3#285611yescharacteristic
694D3—82no—
695C22—24no—
696C22—24no—
697C22—24no—
698C22—44no—
699C22—42no—
700C22—42no—
701C22—44no—
702C22—42no—
703C22—44no—
704C22—42no—
705C22—44no—
706C22—122no—
707C22—122no—
708C22—122no—
709C22—124no—
710C22—124no—
711C22—241no—
712C22—242no—
713C22—241no—
714C22—241no—
715C22—242no—
716C22—241no—
717C22C2×#87411yescharacteristic
718C22#547712yes—
719C22#547711yescharacteristic
720C22C2×#88611yescharacteristic
721C22#549311yescharacteristic
722C22#549512yes—
723C22#552411yescharacteristic
724C22#552611yescharacteristic
725C22#552911yescharacteristic
726C22#553311yescharacteristic
727C22#553812yes—
728C22#555412yes—
729C22#555412yes—
730C22#555512yes—
731C22#555512yes—
732C22#555712yes—
733C22#556112yes—
734C22#556412yes—
735C22C2×#93011yescharacteristic
736C22C2×#93012yes—
737C22#580612yes—
738C22#582411yescharacteristic
739C22#583111yescharacteristic
740C4—28no—
741C4—24no—
742C4—24no—
743C4—44no—
744C4—122no—
745C4—241no—
746C4—242no—
747C4—242no—
748C4—241no—
749C3#1483911yescharacteristic, complemented, Sylow
750C2—44no—
751C2—242no—
752C2#7351611yescharacteristic
753C2#7352712yes—
754C2#7358311yescharacteristic
755C2#7359711yescharacteristic
756C2#7359912yes—
757C2#7361211yescharacteristic
758C2#8208111yescharacteristic
759C2#8210811yescharacteristic
760C2#8227711yescharacteristic
761C2#8235512yes—
762C2#8240812yes—
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC2×C3×C4×C22⋊C4C2
prime radicalC23×#67C22
hypercenterC2×C4×C22⋊C4D3
hypocenterC3#14839
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×C4×C22⋊C4C2semidirect
3. C2×#5212C2semidirect
4. C2×#4953C2semidirect
6. C2×#4677C2semidirect
7. #71537C2semidirect
8. #71535C2semidirect
9. #69427C2semidirect
10. #69422C2semidirect
11. #69419C2semidirect
47. C2×C4×C22⋊C4D3semidirect
108. C3×#95D4semidirect
305. #95#67semidirect
749. C3#14839semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×C22⋊C42
C2×#52132
C2×#52122
C2×#49532
C2×#49612
C2×#46772
#715372
#715352
#694272
#694222
#694192
#148393