Finite Group Databasebeta

← #10813394

Subgroups — #10813394

Order 768.

1022 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5128C211yesmaximal, characteristic
2C2×#5121C211yesmaximal, characteristic, complemented
3C2×#4861C211yesmaximal, characteristic, complemented
4#74010C211yesmaximal, characteristic
5#73885C211yesmaximal, characteristic
6C3×#1809C211yesmaximal, characteristic, complemented
7#70631C211yesmaximal, characteristic, complemented
8Dic3×#107C211yesmaximal, characteristic, complemented
9#70554C211yesmaximal, characteristic, complemented
10#69506C211yesmaximal, characteristic, complemented
11#69505C211yesmaximal, characteristic, complemented
12#68877C211yesmaximal, characteristic, complemented
13#68875C211yesmaximal, characteristic, complemented
14#68796C211yesmaximal, characteristic, complemented
15#68795C211yesmaximal, characteristic, complemented
16#22663—31nomaximal, Sylow
17C22×C3×M16C2211yescharacteristic
18C2×C4×#67C2211yescharacteristic
19C2×#926C2211yescharacteristic
20C22×C4⋊Dic3C2211yescharacteristic
21C22×ΓL(1,𝔽25)C2211yescharacteristic
22C2×#892C2211yescharacteristic
23C2×D3×C4⋊C4C2211yescharacteristic
24C2×#67⋊C4—21no—
25C2×C3×#107C2211yescharacteristic
26C2×C3×#106C2211yescharacteristic
27C3×#380C2211yescharacteristic
28C3×#380C2211yescharacteristic
29C2×#830C2211yescharacteristic
30#5128C418yescomplemented
31#5121—24no—
32C2×(C2×D3)⋊C8C2211yescharacteristic
33C2×#818C2211yescharacteristic
34C2×#818C2211yescharacteristic
35C2×#817C2211yescharacteristic
36C2×#817C2211yescharacteristic
37C2×Dic3⋊C8C2211yescharacteristic
38C2×C8×Dic3C2211yescharacteristic
39#4987C2211yescharacteristic
40#4987C2211yescharacteristic
41#4975C2211yescharacteristic
42#4975C2211yescharacteristic
43Dic3×C4⋊C4C2211yescharacteristic
44Dic3×C4⋊C4C2211yescharacteristic
45C2×#808C2211yescharacteristic
46C2×#808C2211yescharacteristic
47C2×#808C2211yescharacteristic
48C2×#807C2211yescharacteristic
49#4957—21no—
50#4946—21no—
51#4945—21no—
52#4861—24no—
53#4669—21no—
54#4668—21no—
55#4649—21no—
56#4647—21no—
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63C2×#436—31no—
64C2×#428—31no—
65C2×#428—31no—
66#2354—31no—
67D4×C4⋊C4—31no—
68#1948—31no—
69#1947—31no—
70#1854—31no—
71#1854—31no—
72#1853—31no—
73#1853—31no—
74#1844—31no—
75#1809—31no—
76#1809D311yescharacteristic, complemented
77C4×#107—31no—
78C23×C3×C4C2311yescharacteristic
79C22×#67D411yescharacteristic
80C23×Dic3—21no—
81C22×C4×D3—21no—
82C22×C4×D3C2311yescharacteristic
83C2×C3×M16—22no—
84C2×C3×M16—22no—
85C2×C3×M16C2×C414yescomplemented
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C2×C3×C4⋊C4C2311yescharacteristic
89C2×C3×C4⋊C4C2311yescharacteristic
90C2×C3×C4⋊C4C2311yescharacteristic
91C2×C3×C4⋊C4C2311yescharacteristic
92C2×C3×C22⋊C4—21no—
93C2×C3×C22⋊C4—21no—
94C2×#217—21no—
95C2×#217D411yescharacteristic
96C4×#67C2×C414yes—
97C4×#67Q814yes—
98C2×(C2×D3)⋊C4—21no—
99C2×(C2×D3)⋊C4—21no—
100C2×(C2×D3)⋊C4—21no—
101C2×(C2×D3)⋊C4D411yescharacteristic
102#926—22no—
103#926—41no—
104C2×C4⋊Dic3—22no—
105C2×C4⋊Dic3—21no—
106C2×C4⋊Dic3—41no—
107C2×C4⋊Dic3C2311yescharacteristic
108C2×C4⋊Dic3C2311yescharacteristic
109C2×C4⋊Dic3C2311yescharacteristic
110C2×C4⋊Dic3C2311yescharacteristic
111C2×Dic3⋊C4—21no—
112C2×Dic3⋊C4—21no—
113C2×Dic3⋊C4—21no—
114C2×Dic3⋊C4—21no—
115C2×Dic3⋊C4—21no—
116C2×Dic3⋊C4D411yescharacteristic
117C2×C4×Dic3—21no—
118C2×C4×Dic3—21no—
119C2×C4×Dic3—21no—
120C2×C4×Dic3—21no—
121C2×C4×Dic3C2311yescharacteristic
122C22×C3⋊C8C2311yescharacteristic
123C22×C3⋊C8C2311yescharacteristic
124C2×ΓL(1,𝔽25)—22no—
125C2×ΓL(1,𝔽25)—22no—
126C2×ΓL(1,𝔽25)C2×C414yescomplemented
127#892—22no—
128#892—41no—
129D3×C4⋊C4—22no—
130D3×C4⋊C4—41no—
131#67⋊C4—44no—
132C3×#107—22no—
133C3×#106—22no—
134C3×#95—21no—
135C3×#95—21no—
136C3⋊#95—21no—
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140#830C2×C414yescomplemented
141(C2×D3)⋊C8C2×C414yescomplemented
142#818—22no—
143#818D414yescomplemented
144#817—22no—
145#817—22no—
146Dic3⋊C8C2×C414yescomplemented
147C8×Dic3C2×C414yescomplemented
148#808—22no—
149#808—41no—
150#808—41no—
151#807—22no—
152C22×M16—31no—
153C22×M16C2×D311yescharacteristic
154C2×C4×D4—31no—
155C2×C4×D4—61no—
156C2×#117—31no—
157C2×#117—31no—
158C22×C4⋊C4—31no—
159C22×C4⋊C4—31no—
160#436—38no—
161#428—64no—
162#428—64no—
163C2×#107—31no—
164C2×#107—31no—
165C2×#107—31no—
166C2×#107C2×D311yescharacteristic
167C2×#106—31no—
168C2×#106—31no—
169C2×#106—31no—
170C2×#106—31no—
171C2×#106—31no—
172C2×#106C2×D311yescharacteristic
173C2×C4⋊C8—31no—
174C2×C22⋊C8—31no—
175C2×C22⋊C8—31no—
176C2×C4×C8—31no—
177#390—61no—
178#389—61no—
179#388—61no—
180#388—61no—
181#385—61no—
182#385—61no—
183#384—31no—
184#384—31no—
185#380—31no—
186#380—31no—
187#380C2×D311yescharacteristic
188#380C2×D311yescharacteristic
189C4×C4⋊C4—31no—
190C4×C4⋊C4—31no—
191C4×C4⋊C4—61no—
192#340—31no—
193#340—31no—
194#340—31no—
195#340—31no—
196#340C2×D311yescharacteristic
197#340C2×D311yescharacteristic
198C24×C3C2×D411yescharacteristic
199C23×D3C2×D411yescharacteristic
200C22×C3×C4—21no—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4C22×C412yes—
209C22×C3×C4C2×D411yescharacteristic
210C22×C3×C4C2×Q812yes—
211C22×C3×C4C2411yescharacteristic
212C2×#67—22no—
213C2×#67—22no—
214C2×#67C4⋊C414yes—
215C22×Dic3—21no—
216C22×Dic3—21no—
217C22×Dic3—21no—
218C22×Dic3—21no—
219C22×Dic3—42no—
220C22×Dic3—42no—
221C22×Dic3—81no—
222C22×Dic3C2×D411yescharacteristic
223C22×Dic3C2×D411yescharacteristic
224C22×Dic3C2×D411yescharacteristic
225C2×C4×D3—21no—
226C2×C4×D3—21no—
227C2×C4×D3—21no—
228C2×C4×D3—21no—
229C2×C4×D3—42no—
230C2×C4×D3—42no—
231C2×C4×D3—81no—
232C2×C4×D3C22×C412yes—
233C2×C4×D3C2×Q812yes—
234C3×M16—28no—
235C2×C3×C8—21no—
236C2×C3×C8—21no—
237C2×C3×C8C22×C412yes—
238C2×C3×C8C22×C412yes—
239C2×C3×C8C2×D412yes—
240C2×C3×C8#4112yes—
241C3×C4⋊C4—21no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—21no—
244C3×C4⋊C4—21no—
245C3×C4⋊C4—21no—
246C3×C4⋊C4—21no—
247C3×C4⋊C4—21no—
248C3×C4⋊C4—21no—
249C3×C22⋊C4—42no—
250C3×C22⋊C4—81no—
251#217—42no—
252#217C4⋊C414yes—
253(C2×D3)⋊C4—42no—
254(C2×D3)⋊C4—42no—
255(C2×D3)⋊C4—81no—
256(C2×D3)⋊C4C4⋊C414yes—
257C4⋊Dic3—21no—
258C4⋊Dic3—21no—
259C4⋊Dic3—21no—
260C4⋊Dic3—21no—
261C4⋊Dic3—21no—
262C4⋊Dic3—21no—
263C4⋊Dic3—42no—
264C4⋊Dic3C2×D412yes—
265C4⋊Dic3C2×D412yes—
266Dic3⋊C4—42no—
267Dic3⋊C4—42no—
268Dic3⋊C4—42no—
269Dic3⋊C4—81no—
270Dic3⋊C4—81no—
271Dic3⋊C4C4⋊C414yes—
272C4×Dic3—42no—
273C4×Dic3—42no—
274C4×Dic3—42no—
275C4×Dic3—42no—
276C4×Dic3C22×C412yes—
277C4×Dic3C2×Q812yes—
278C2×C3⋊C8—21no—
279C2×C3⋊C8—21no—
280C2×C3⋊C8—21no—
281C2×C3⋊C8—21no—
282C2×C3⋊C8C22×C412yes—
283C2×C3⋊C8C22×C412yes—
284ΓL(1,𝔽25)—28no—
285C22×D4—31no—
286C23×C4—31no—
287C23×C4—61no—
288C23×C4—61no—
289C23×C4C22×D311yescharacteristic
290C2×M16—22no—
291C2×M16—22no—
292C2×M16—34no—
293C2×M16—62no—
294C2×M16—62no—
295C2×M16C4×D314yescomplemented
296C22×C8—31no—
297C22×C8—31no—
298C22×C8C22×D311yescharacteristic
299C22×C8C22×D311yescharacteristic
300C4×D4—34no—
301C4×D4—34no—
302C4×D4—124no—
303#117—62no—
304#117—62no—
305#117—121no—
306#117—121no—
307C2×C4⋊C4—31no—
308C2×C4⋊C4—31no—
309C2×C4⋊C4—31no—
310C2×C4⋊C4—31no—
311C2×C4⋊C4—31no—
312C2×C4⋊C4—62no—
313C2×C4⋊C4—62no—
314C2×C4⋊C4—61no—
315C2×C4⋊C4—61no—
316C2×C4⋊C4—61no—
317C2×C4⋊C4—61no—
318C2×C4⋊C4—61no—
319C2×C4⋊C4—61no—
320C2×C4⋊C4—121no—
321C2×C4⋊C4—121no—
322C2×C4⋊C4C22×D311yescharacteristic
323C2×C4⋊C4C22×D311yescharacteristic
324C2×C4⋊C4C22×D311yescharacteristic
325C2×C4⋊C4C22×D311yescharacteristic
326C2×C22⋊C4—21no—
327C2×C22⋊C4—21no—
328C2×C22⋊C4—31no—
329C2×C22⋊C4—31no—
330C2×C22⋊C4—61no—
331C2×C22⋊C4—61no—
332C2×C22⋊C4—61no—
333C2×C22⋊C4—61no—
334C2×C42—31no—
335C2×C42—61no—
336C2×C42—61no—
337C2×C42—61no—
338C2×C42—61no—
339#107—22no—
340#107—34no—
341#107—62no—
342#107—62no—
343#106—22no—
344#106—62no—
345#106—62no—
346#106—62no—
347#106—121no—
348#106—121no—
349C4⋊C8—34no—
350C22⋊C8—34no—
351C22⋊C8—34no—
352C4×C8—34no—
353#95—21no—
354#95—21no—
355#95—61no—
356#95—61no—
357#95—61no—
358#95—61no—
359C23×C3—21no—
360C23×C3—21no—
361C23×C3—21no—
362C23×C3—21no—
363C23×C3—21no—
364C23×C3—21no—
365C23×C3C2×C4⋊C412yes—
366C23×C3C22×D411yescharacteristic
367C22×D3—21no—
368C22×D3—21no—
369C22×D3—21no—
370C22×D3—21no—
371C22×D3—21no—
372C22×D3—21no—
373C22×D3C2×C4⋊C412yes—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—41no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
391C2×C3×C4—41no—
392C2×C3×C4C2×C4⋊C412yes—
393C2×C3×C4C23×C411yescharacteristic
394C2×C3×C4C22×D411yescharacteristic
395C2×C3×C4C22×Q811yescharacteristic
396C2×C3×C4C2×#4111yescharacteristic
397C2×C3×C4H(5,𝔽2)11yescharacteristic
398C2×C3×C42−1+411yescharacteristic
399#67—28no—
400C2×Dic3—21no—
401C2×Dic3—21no—
402C2×Dic3—21no—
403C2×Dic3—21no—
404C2×Dic3—22no—
405C2×Dic3—22no—
406C2×Dic3—41no—
407C2×Dic3—41no—
408C2×Dic3—41no—
409C2×Dic3—41no—
410C2×Dic3—41no—
411C2×Dic3—41no—
412C2×Dic3—41no—
413C2×Dic3—41no—
414C2×Dic3—41no—
415C2×Dic3—41no—
416C2×Dic3—84no—
417C2×Dic3C2×C4⋊C412yes—
418C2×Dic3C2×C4⋊C412yes—
419C2×Dic3C2×C4⋊C412yes—
420C2×Dic3AGL(1,ℤ/8)12yes—
421C2×Dic3#13712yes—
422C4×D3—22no—
423C4×D3—22no—
424C4×D3—22no—
425C4×D3—22no—
426C4×D3—84no—
427C3×C8—22no—
428C3×C8C4×D414yescomplemented
429C3⋊C8—22no—
430C3⋊C8—22no—
431C24—31no—
432C24D3×D411yescharacteristic
433C2×D4—34no—
434C2×D4—62no—
435C2×D4—62no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—31no—
445C22×C4—31no—
446C22×C4—31no—
447C22×C4—32no—
448C22×C4—32no—
449C22×C4—61no—
450C22×C4—61no—
451C22×C4—61no—
452C22×C4—61no—
453C22×C4—61no—
454C22×C4—61no—
455C22×C4—61no—
456C22×C4—61no—
457C22×C4—122no—
458C22×C4—122no—
459C22×C4—122no—
460C22×C4—122no—
461C22×C4—241no—
462C22×C4—241no—
463C22×C4C2×C4×D312yes—
464C22×C4D3×D411yescharacteristic
465C22×C4D3×Q812yes—
466C22×C4C23×D311yescharacteristic
467M16—28no—
468M16—68no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—32no—
472C2×C8—32no—
473C2×C8—61no—
474C2×C8—61no—
475C2×C8—61no—
476C2×C8—61no—
477C2×C8C2×C4×D312yes—
478C2×C8C2×C4×D312yes—
479C2×C8D3×D412yes—
480C2×C8#23712yes—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—34no—
490C4⋊C4—32no—
491C4⋊C4—32no—
492C4⋊C4—61no—
493C4⋊C4—61no—
494C4⋊C4—61no—
495C4⋊C4—61no—
496C4⋊C4—61no—
497C4⋊C4—61no—
498C4⋊C4—122no—
499C4⋊C4—122no—
500C4⋊C4—122no—
501C4⋊C4—122no—
502C4⋊C4—241no—
503C4⋊C4—241no—
504C22⋊C4—34no—
505C22⋊C4—34no—
506C22⋊C4—42no—
507C22⋊C4—81no—
508C22⋊C4—122no—
509C22⋊C4—122no—
510C22⋊C4—122no—
511C22⋊C4—241no—
512C42—32no—
513C42—32no—
514C42—122no—
515C42—122no—
516C42—122no—
517C42—122no—
518C22×C3—22no—
519C22×C3—22no—
520C22×C3—22no—
521C22×C3—41no—
522C22×C3—41no—
523C22×C3—41no—
524C22×C3—41no—
525C22×C3C22×C4⋊C411yescharacteristic
526C22×C3D4211yescharacteristic
527C22×C3#54711yescharacteristic
528C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
529C22×C3C2×#13711yescharacteristic
530C22×C3#57711yescharacteristic
531C22×C3#57711yescharacteristic
532C2×D3—22no—
533C2×D3—22no—
534C2×D3—22no—
535C2×D3—41no—
536C2×D3—41no—
537C2×D3—41no—
538C2×D3—41no—
539C3×C4—22no—
540C3×C4—81no—
541C3×C4—81no—
542C3×C4—81no—
543C3×C4—81no—
544C3×C4C2×C4×D411yescharacteristic
545C3×C4#52011yescharacteristic
546C3×C4D4×Q811yescharacteristic
547C3×C4#55411yescharacteristic
548Dic3—22no—
549Dic3—22no—
550Dic3—42no—
551Dic3—42no—
552Dic3—81no—
553Dic3—81no—
554Dic3#42814yescomplemented
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—32no—
562C23—61no—
563C23—61no—
564C23—61no—
565C23—61no—
566C23—61no—
567C23—61no—
568C23D3×C4⋊C412yes—
569C23C2×D3×D411yescharacteristic
570D4—68no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—32no—
578C2×C4—32no—
579C2×C4—32no—
580C2×C4—32no—
581C2×C4—32no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—61no—
595C2×C4—61no—
596C2×C4—61no—
597C2×C4—61no—
598C2×C4—62no—
599C2×C4—62no—
600C2×C4—62no—
601C2×C4—62no—
602C2×C4—62no—
603C2×C4—62no—
604C2×C4—121no—
605C2×C4—121no—
606C2×C4—121no—
607C2×C4—121no—
608C2×C4—121no—
609C2×C4—121no—
610C2×C4—121no—
611C2×C4—121no—
612C2×C4—121no—
613C2×C4—121no—
614C2×C4—244no—
615C2×C4—244no—
616C2×C4D3×C4⋊C412yes—
617C2×C4C22×C4×D311yescharacteristic
618C2×C4C2×D3×D411yescharacteristic
619C2×C4C2×#23711yescharacteristic
620C2×C4C2×D3×Q811yescharacteristic
621C2×C4#100911yescharacteristic
622C2×C4#101011yescharacteristic
623C8—22no—
624C8—62no—
625C8—62no—
626C8#67⋊C414yescomplemented
627C2×C3—42no—
628C2×C3D4×C4⋊C411yescharacteristic
629C2×C3C2×#42811yescharacteristic
630C2×C3#291211yescharacteristic
631C2×C3#327211yescharacteristic
632C2×C3#327811yescharacteristic
633C2×C3#335411yescharacteristic
634C2×C3#335611yescharacteristic
635D3—42no—
636C22—22no—
637C22—22no—
638C22—22no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—62no—
644C22—62no—
645C22—62no—
646C22—121no—
647C22—121no—
648C22—121no—
649C22—121no—
650C22C2×D3×C4⋊C411yescharacteristic
651C22#560911yescharacteristic
652C22#561111yescharacteristic
653C22D3×AGL(1,ℤ/8)11yescharacteristic
654C22#577511yescharacteristic
655C22D3×#13711yescharacteristic
656C22#577811yescharacteristic
657C4—22no—
658C4—34no—
659C4—62no—
660C4—62no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—122no—
666C4—122no—
667C4—241no—
668C4—241no—
669C4C2×#67⋊C411yescharacteristic
670C4#552311yescharacteristic
671C4#563211yescharacteristic
672C4#563511yescharacteristic
673C3#2266311yescharacteristic, complemented, Sylow
674C2—42no—
675C2—122no—
676C2#7401011yescharacteristic
677C2D3×#42811yescharacteristic
678C2#7920911yescharacteristic
679C2#8083811yescharacteristic
680C2#8084411yescharacteristic
681C2#8086011yescharacteristic
682C2#8090111yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1809C2
socleC23×C3C22×D4
prime radicalC22×#67D4
cosocleC22×C3×C4C24
hypercenter#1809D3
hypocenterC3#22663
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1809

Complements

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

NH ≅ G/Ntype
2. C2×#5121C2semidirect
3. C2×#4861C2semidirect
6. C3×#1809C2semidirect
7. #70631C2semidirect
8. Dic3×#107C2semidirect
9. #70554C2semidirect
10. #69506C2semidirect
11. #69505C2semidirect
12. #68877C2semidirect
13. #68875C2semidirect
14. #68796C2semidirect
15. #68795C2semidirect
30. #5128C4semidirect
76. #1809D3semidirect
85. C2×C3×M16C2×C4semidirect
126. C2×ΓL(1,𝔽25)C2×C4semidirect
140. #830C2×C4semidirect
141. (C2×D3)⋊C8C2×C4semidirect
143. #818D4semidirect
146. Dic3⋊C8C2×C4semidirect
147. C8×Dic3C2×C4semidirect
295. C2×M16C4×D3semidirect
428. C3×C8C4×D4semidirect
554. Dic3#428semidirect
626. C8#67⋊C4semidirect
673. C3#22663semidirect

Maximal subgroups

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

subgroupindex
C2×#51282
C2×#51212
C2×#48612
#740102
#738852
C3×#18092
#706312
Dic3×#1072
#705542
#695062
#695052
#688772
#688752
#687962
#687952
#226633