Finite Group Databasebeta

← #10722360

Subgroups — #10722360

Order 768.

2142 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×C4⋊C4C211yesmaximal, characteristic
2C2×#4987C211yesmaximal, characteristic
3C2×#4664C212yesmaximal
4C2×#4667C211yesmaximal, characteristic
5C3×#1441C211yesmaximal, characteristic, complemented
6#71566C211yesmaximal, characteristic, complemented
7#71565C211yesmaximal, characteristic, complemented
8(C2×D3)⋊#95C212yesmaximal
9#69411C212yesmaximal, complemented
10#69410C211yesmaximal, characteristic, complemented
11#69409C212yesmaximal, complemented
12#14339—31nomaximal, Sylow
13C23×C4×D3C2211yescharacteristic
14C23×C4×D3C2211yescharacteristic
15C23×C4×D3C2211yescharacteristic
16C22×C3×C4⋊C4C2211yescharacteristic
17C22×C3×C4⋊C4C2211yescharacteristic
18C22×(C2×D3)⋊C4C2212yes—
19C22×(C2×D3)⋊C4C2212yes—
20C22×C4⋊Dic3C2211yescharacteristic
21C22×C4⋊Dic3C2211yescharacteristic
22C22×Dic3⋊C4C2211yescharacteristic
23C22×Dic3⋊C4C2211yescharacteristic
24C22×Dic3⋊C4C2212yes—
25C2×D3×C4⋊C4—24no—
26C2×D3×C4⋊C4—24no—
27C2×D3×C4⋊C4C418yescomplemented
28C2×C3×#95C2211yescharacteristic
29C2×C3×#95C2212yes—
30C2×C3×#95C2212yes—
31C2×C3⋊#95C2212yes—
32C2×C3⋊#95C2212yes—
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2211yescharacteristic
36C2×C3⋊#95C2212yes—
37C2×C3⋊#95C2212yes—
38C2×C3⋊#95C2212yes—
39#4987—24no—
40#4667—24no—
41#4664—28no—
42C23×C4⋊C4—31no—
43C2×#381—32no—
44C2×#380—31no—
45C2×#380—31no—
46#1441—32no—
47#1441—31no—
48#1441—32no—
49#1441—31no—
50#1441—31no—
51#1441D311yescharacteristic, complemented
52C22⋊#95—32no—
53C24×D3C2311yescharacteristic
54C23×C3×C4C2312yes—
55C23×C3×C4C2312yes—
56C23×C3×C4C2311yescharacteristic
57C23×C3×C4C2311yescharacteristic
58C23×C3×C4C2311yescharacteristic
59C23×Dic3C2312yes—
60C23×Dic3C2312yes—
61C23×Dic3C2311yescharacteristic
62C23×Dic3C2311yescharacteristic
63C23×Dic3C2311yescharacteristic
64C22×C4×D3—22no—
65C22×C4×D3—22no—
66C22×C4×D3—22no—
67C22×C4×D3—22no—
68C22×C4×D3—22no—
69C22×C4×D3—22no—
70C22×C4×D3—42no—
71C22×C4×D3—42no—
72C22×C4×D3—42no—
73C22×C4×D3—42no—
74C22×C4×D3C2×C414yes—
75C22×C4×D3C2×C414yes—
76C22×C4×D3C2×C414yes—
77C22×C4×D3D414yes—
78C22×C4×D3D414yes—
79C22×C4×D3D414yes—
80C22×C4×D3Q814yes—
81C2×C3×C4⋊C4—22no—
82C2×C3×C4⋊C4—22no—
83C2×C3×C4⋊C4—22no—
84C2×C3×C4⋊C4—42no—
85C2×C3×C4⋊C4C2×C414yes—
86C2×(C2×D3)⋊C4—24no—
87C2×(C2×D3)⋊C4—24no—
88C2×(C2×D3)⋊C4—24no—
89C2×(C2×D3)⋊C4—24no—
90C2×(C2×D3)⋊C4—24no—
91C2×(C2×D3)⋊C4—24no—
92C2×C4⋊Dic3—22no—
93C2×C4⋊Dic3—22no—
94C2×C4⋊Dic3—22no—
95C2×C4⋊Dic3—42no—
96C2×C4⋊Dic3C2×C414yes—
97C2×Dic3⋊C4—22no—
98C2×Dic3⋊C4—22no—
99C2×Dic3⋊C4—22no—
100C2×Dic3⋊C4—22no—
101C2×Dic3⋊C4—24no—
102C2×Dic3⋊C4—42no—
103C2×Dic3⋊C4—42no—
104C2×Dic3⋊C4C2×C414yes—
105C2×Dic3⋊C4C2×C414yes—
106D3×C4⋊C4—232no—
107C3×#95—24no—
108C3×#95—22no—
109C3×#95—42no—
110C3⋊#95—24no—
111C3⋊#95—22no—
112C3⋊#95—24no—
113C3⋊#95—24no—
114C3⋊#95—24no—
115C3⋊#95—42no—
116C3⋊#95—42no—
117C3⋊#95—42no—
118C24×C4—31no—
119C24×C4—31no—
120C24×C4—31no—
121C22×C4⋊C4—31no—
122C22×C4⋊C4—31no—
123C22×C4⋊C4—31no—
124C22×C4⋊C4—38no—
125C22×C4⋊C4—32no—
126C22×C4⋊C4—31no—
127C22×C4⋊C4—64no—
128C22×C4⋊C4—64no—
129C22×C4⋊C4C2×D311yescharacteristic
130C22×C4⋊C4C2×D311yescharacteristic
131C22×C22⋊C4—32no—
132C22×C22⋊C4—32no—
133#381—68no—
134#380—64no—
135#380—64no—
136C2×#95—32no—
137C2×#95—31no—
138C2×#95—32no—
139C2×#95—32no—
140C2×#95—32no—
141C2×#95—32no—
142C2×#95—32no—
143C2×#95—32no—
144C2×#95C2×D311yescharacteristic
145C2×#95C2×D312yes—
146C2×#95C2×D312yes—
147C24×C3C2411yescharacteristic
148C23×D3—22no—
149C23×D3—22no—
150C23×D3—22no—
151C23×D3—22no—
152C23×D3C22×C412yes—
153C23×D3C2×D412yes—
154C23×D3C2×D412yes—
155C23×D3C2×D412yes—
156C23×D3C2×Q812yes—
157C23×D3#4112yes—
158C23×D3#4112yes—
159C22×C3×C4—21no—
160C22×C3×C4—21no—
161C22×C3×C4—21no—
162C22×C3×C4—21no—
163C22×C3×C4—22no—
164C22×C3×C4—22no—
165C22×C3×C4—21no—
166C22×C3×C4—21no—
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—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×C4C22×C412yes—
184C22×C3×C4C22×C412yes—
185C22×C3×C4C22×C412yes—
186C22×C3×C4C2×D412yes—
187C22×C3×C4C2×D412yes—
188C22×C3×C4C2×D412yes—
189C22×C3×C4C2×Q812yes—
190C22×Dic3—21no—
191C22×Dic3—21no—
192C22×Dic3—21no—
193C22×Dic3—21no—
194C22×Dic3—22no—
195C22×Dic3—22no—
196C22×Dic3—21no—
197C22×Dic3—21no—
198C22×Dic3—22no—
199C22×Dic3—22no—
200C22×Dic3—22no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—22no—
207C22×Dic3—22no—
208C22×Dic3—22no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3C22×C412yes—
215C22×Dic3C22×C412yes—
216C22×Dic3C22×C412yes—
217C22×Dic3C2×D412yes—
218C22×Dic3C2×D412yes—
219C22×Dic3C2×D412yes—
220C22×Dic3C2×Q812yes—
221C2×C4×D3—28no—
222C2×C4×D3—28no—
223C2×C4×D3—28no—
224C2×C4×D3—28no—
225C2×C4×D3—28no—
226C2×C4×D3—28no—
227C2×C4×D3—28no—
228C2×C4×D3—48no—
229C2×C4×D3—48no—
230C2×C4×D3—48no—
231C2×C4×D3—44no—
232C2×C4×D3—44no—
233C2×C4×D3—44no—
234C2×C4×D3—44no—
235C2×C4×D3—48no—
236C2×C4×D3C22⋊C4116yes—
237C2×C4×D3C4⋊C4116yescomplemented
238C3×C4⋊C4—28no—
239C3×C4⋊C4—44no—
240(C2×D3)⋊C4—48no—
241(C2×D3)⋊C4—48no—
242C4⋊Dic3—28no—
243C4⋊Dic3—44no—
244Dic3⋊C4—28no—
245Dic3⋊C4—28no—
246Dic3⋊C4—48no—
247C25—31no—
248C23×C4—31no—
249C23×C4—31no—
250C23×C4—34no—
251C23×C4—34no—
252C23×C4—34no—
253C23×C4—34no—
254C23×C4—34no—
255C23×C4—34no—
256C23×C4—31no—
257C23×C4—34no—
258C23×C4—32no—
259C23×C4—32no—
260C23×C4—62no—
261C23×C4—62no—
262C23×C4—62no—
263C23×C4—62no—
264C23×C4—62no—
265C23×C4—62no—
266C23×C4—122no—
267C23×C4—122no—
268C23×C4—122no—
269C23×C4—122no—
270C23×C4C22×D312yes—
271C23×C4C22×D312yes—
272C23×C4C22×D311yescharacteristic
273C23×C4C22×D311yescharacteristic
274C23×C4C22×D311yescharacteristic
275C2×C4⋊C4—22no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—34no—
279C2×C4⋊C4—34no—
280C2×C4⋊C4—34no—
281C2×C4⋊C4—42no—
282C2×C4⋊C4—632no—
283C2×C4⋊C4—62no—
284C2×C4⋊C4—62no—
285C2×C4⋊C4—62no—
286C2×C4⋊C4—62no—
287C2×C4⋊C4—62no—
288C2×C4⋊C4—62no—
289C2×C4⋊C4—64no—
290C2×C4⋊C4—62no—
291C2×C4⋊C4—122no—
292C2×C4⋊C4—122no—
293C2×C4⋊C4—122no—
294C2×C4⋊C4C4×D314yes—
295C2×C22⋊C4—64no—
296C2×C22⋊C4—64no—
297C2×C22⋊C4—64no—
298C2×C22⋊C4—64no—
299C2×C22⋊C4—64no—
300C2×C22⋊C4—64no—
301#95—22no—
302#95—24no—
303#95—42no—
304#95—64no—
305#95—64no—
306#95—64no—
307#95—62no—
308#95—64no—
309#95—122no—
310#95—122no—
311#95—122no—
312C23×C3C23×C411yescharacteristic
313C23×C3C22×D411yescharacteristic
314C23×C3C22×D411yescharacteristic
315C23×C3C22×D411yescharacteristic
316C23×C3C22×Q811yescharacteristic
317C23×C3C2×#4111yescharacteristic
318C23×C3C2×#4111yescharacteristic
319C23×C3H(5,𝔽2)12yes—
320C23×C3H(5,𝔽2)12yes—
321C23×C32−1+412yes—
322C23×C32−1+412yes—
323C22×D3—24no—
324C22×D3—24no—
325C22×D3—22no—
326C22×D3—22no—
327C22×D3—24no—
328C22×D3—22no—
329C22×D3—22no—
330C22×D3—24no—
331C22×D3—24no—
332C22×D3—24no—
333C22×D3—24no—
334C22×D3—24no—
335C22×D3—24no—
336C22×D3—24no—
337C22×D3—24no—
338C22×D3—24no—
339C22×D3C2×C22⋊C414yes—
340C22×D3C2×C4⋊C414yes—
341C22×D3#11714yes—
342C22×D3#12114yes—
343C22×D3#12114yes—
344C22×D3C22⋊Q814yes—
345C22×D3C22⋊Q814yes—
346C2×C3×C4—22no—
347C2×C3×C4—22no—
348C2×C3×C4—24no—
349C2×C3×C4—22no—
350C2×C3×C4—22no—
351C2×C3×C4—22no—
352C2×C3×C4—22no—
353C2×C3×C4—22no—
354C2×C3×C4—22no—
355C2×C3×C4—24no—
356C2×C3×C4—22no—
357C2×C3×C4—24no—
358C2×C3×C4—41no—
359C2×C3×C4—41no—
360C2×C3×C4—42no—
361C2×C3×C4—42no—
362C2×C3×C4—42no—
363C2×C3×C4—42no—
364C2×C3×C4—42no—
365C2×C3×C4—42no—
366C2×C3×C4—42no—
367C2×C3×C4—42no—
368C2×C3×C4—42no—
369C2×C3×C4—42no—
370C2×C3×C4—42no—
371C2×C3×C4—42no—
372C2×C3×C4—42no—
373C2×C3×C4—42no—
374C2×C3×C4—42no—
375C2×C3×C4C2×C22⋊C414yes—
376C2×C3×C4C2×C4⋊C414yes—
377C2×Dic3—22no—
378C2×Dic3—22no—
379C2×Dic3—24no—
380C2×Dic3—22no—
381C2×Dic3—22no—
382C2×Dic3—22no—
383C2×Dic3—22no—
384C2×Dic3—24no—
385C2×Dic3—22no—
386C2×Dic3—22no—
387C2×Dic3—22no—
388C2×Dic3—24no—
389C2×Dic3—41no—
390C2×Dic3—41no—
391C2×Dic3—42no—
392C2×Dic3—42no—
393C2×Dic3—42no—
394C2×Dic3—42no—
395C2×Dic3—42no—
396C2×Dic3—42no—
397C2×Dic3—42no—
398C2×Dic3—42no—
399C2×Dic3—42no—
400C2×Dic3—42no—
401C2×Dic3—42no—
402C2×Dic3—42no—
403C2×Dic3—42no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3C2×C22⋊C414yes—
407C2×Dic3C2×C4⋊C414yes—
408C4×D3—232no—
409C4×D3—416no—
410C4×D3—416no—
411C24—32no—
412C24—32no—
413C24—32no—
414C24—32no—
415C24—32no—
416C24—32no—
417C24—32no—
418C24—62no—
419C24—62no—
420C24—62no—
421C24—62no—
422C24C23×D311yescharacteristic
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—22no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—32no—
448C22×C4—32no—
449C22×C4—32no—
450C22×C4—32no—
451C22×C4—32no—
452C22×C4—32no—
453C22×C4—316no—
454C22×C4—316no—
455C22×C4—32no—
456C22×C4—68no—
457C22×C4—68no—
458C22×C4—68no—
459C22×C4—68no—
460C22×C4—68no—
461C22×C4—68no—
462C22×C4—68no—
463C22×C4—61no—
464C22×C4—61no—
465C22×C4—62no—
466C22×C4—61no—
467C22×C4—61no—
468C22×C4—62no—
469C22×C4—61no—
470C22×C4—61no—
471C22×C4—62no—
472C22×C4—62no—
473C22×C4—62no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—124no—
488C22×C4—128no—
489C22×C4—124no—
490C22×C4—128no—
491C22×C4—128no—
492C22×C4—124no—
493C22×C4—124no—
494C22×C4—128no—
495C22×C4C2×C4×D312yes—
496C22×C4C2×C4×D312yes—
497C22×C4C2×C4×D312yes—
498C22×C4D3×D412yes—
499C22×C4D3×D412yes—
500C22×C4D3×D412yes—
501C22×C4D3×Q812yes—
502C4⋊C4—28no—
503C4⋊C4—44no—
504C4⋊C4—68no—
505C4⋊C4—68no—
506C4⋊C4—68no—
507C4⋊C4—124no—
508C4⋊C4—128no—
509C22⋊C4—128no—
510C22⋊C4—128no—
511C22×C3C22×C22⋊C411yescharacteristic
512C22×C3C22×C4⋊C411yescharacteristic
513C22×C3C2×#11711yescharacteristic
514C22×C3#51812yes—
515C22×C3#51912yes—
516C22×C3C2×#12111yescharacteristic
517C22×C3C2×#12111yescharacteristic
518C22×C3C2×C22⋊Q811yescharacteristic
519C22×C3C2×C22⋊Q811yescharacteristic
520C22×C3#53411yescharacteristic
521C22×C3#53411yescharacteristic
522C22×C3#53412yes—
523C22×C3#53611yescharacteristic
524C22×C3#53611yescharacteristic
525C22×C3#53612yes—
526C22×C3#53712yes—
527C22×C3#53712yes—
528C22×C3#53912yes—
529C22×C3#53912yes—
530C22×C3#53912yes—
531C22×C3#53912yes—
532C22×C3#54412yes—
533C22×C3#54412yes—
534C2×D3—24no—
535C2×D3—24no—
536C2×D3—28no—
537C2×D3—28no—
538C2×D3—24no—
539C2×D3—28no—
540C2×D3—24no—
541C2×D3—24no—
542C2×D3—28no—
543C2×D3—24no—
544C2×D3#38018yes—
545C3×C4—24no—
546C3×C4—24no—
547C3×C4—42no—
548C3×C4—82no—
549C3×C4—82no—
550Dic3—24no—
551Dic3—24no—
552Dic3—42no—
553Dic3—82no—
554Dic3—82no—
555C23—34no—
556C23—34no—
557C23—34no—
558C23—34no—
559C23—34no—
560C23—34no—
561C23—34no—
562C23—64no—
563C23—62no—
564C23—64no—
565C23—62no—
566C23—64no—
567C23—64no—
568C23—64no—
569C23—62no—
570C23—64no—
571C23—64no—
572C23—64no—
573C23—62no—
574C23—64no—
575C23—64no—
576C23—64no—
577C23—64no—
578C23C22×C4×D311yescharacteristic
579C23C2×D3×D411yescharacteristic
580C23C2×D3×D411yescharacteristic
581C23C2×D3×D411yescharacteristic
582C23#100412yes—
583C23C2×D3×Q811yescharacteristic
584C23#100712yes—
585C23D3×#4111yescharacteristic
586C23D3×#4111yescharacteristic
587C23#100912yes—
588C23#101012yes—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—34no—
602C2×C4—34no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—632no—
621C2×C4—62no—
622C2×C4—62no—
623C2×C4—62no—
624C2×C4—64no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—62no—
628C2×C4—64no—
629C2×C4—62no—
630C2×C4—62no—
631C2×C4—62no—
632C2×C4—64no—
633C2×C4—1216no—
634C2×C4—1216no—
635C2×C4—121no—
636C2×C4—121no—
637C2×C4—122no—
638C2×C4—122no—
639C2×C4—122no—
640C2×C4—122no—
641C2×C4—122no—
642C2×C4—122no—
643C2×C4—122no—
644C2×C4—122no—
645C2×C4—122no—
646C2×C4—122no—
647C2×C4—122no—
648C2×C4—122no—
649C2×C4—122no—
650C2×C4—122no—
651C2×C4—122no—
652C2×C4D3×C22⋊C414yes—
653C2×C4D3×C4⋊C414yes—
654C2×C3C2×#38011yescharacteristic
655C2×C3#230811yescharacteristic
656C2×C3#231011yescharacteristic
657C2×C3#231312yes—
658C2×C3#231612yes—
659C2×C3#261811yescharacteristic
660C2×C3#261812yes—
661C2×C3#261811yescharacteristic
662C2×C3#262711yescharacteristic
663C2×C3#262712yes—
664C2×C3#262711yescharacteristic
665D3—28no—
666C22—38no—
667C22—64no—
668C22—68no—
669C22—64no—
670C22—64no—
671C22—68no—
672C22—64no—
673C22—64no—
674C22—68no—
675C22—68no—
676C22—64no—
677C22C2×D3×C22⋊C411yescharacteristic
678C22C2×D3×C4⋊C411yescharacteristic
679C22D3×#11711yescharacteristic
680C22#554512yes—
681C22#557212yes—
682C22#558911yescharacteristic
683C22D3×#12111yescharacteristic
684C22D3×#12111yescharacteristic
685C22#560512yes—
686C22#560812yes—
687C22D3×C22⋊Q811yescharacteristic
688C22D3×C22⋊Q811yescharacteristic
689C22#562812yes—
690C22#562912yes—
691C22#563812yes—
692C22#565311yescharacteristic
693C22#566012yes—
694C22#567511yescharacteristic
695C22#568912yes—
696C22#569212yes—
697C22#570712yes—
698C22#572411yescharacteristic
699C22#572912yes—
700C4—24no—
701C4—24no—
702C4—42no—
703C4—64no—
704C4—64no—
705C4—82no—
706C4—82no—
707C4—122no—
708C4—242no—
709C4—242no—
710C3#1433911yescharacteristic, complemented, Sylow
711C2—68no—
712C2D3×#38011yescharacteristic
713C2#7487411yescharacteristic
714C2#7529612yes—
715C2#7619512yes—
716C2#7661011yescharacteristic
717C2#7712411yescharacteristic
718C2#7725711yescharacteristic
719C2#7742312yes—
720C2#7796211yescharacteristic
721C2#7796412yes—
722C2#7836011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
FittingC3×#1441C2
socle, cosocleC24×C3C24
prime radicalC24×D3C23
hypercenter#1441D3
hypocenterC3#14339
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
5. C3×#1441C2semidirect
6. #71566C2semidirect
7. #71565C2semidirect
9. #69411C2semidirect
10. #69410C2semidirect
11. #69409C2semidirect
27. C2×D3×C4⋊C4C4semidirect
51. #1441D3semidirect
237. C2×C4×D3C4⋊C4semidirect
710. C3#14339semidirect

Maximal subgroups

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

subgroupindex
C22×D3×C4⋊C42
C2×#49872
C2×#46642
C2×#46672
C3×#14412
#715662
#715652
(C2×D3)⋊#952
#694112
#694102
#694092
#143393