Finite Group Databasebeta

← #10801775

Subgroups — #10801775

Order 768.

1066 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2324C211yesmaximal, characteristic, complemented
2C2×#5038C211yesmaximal, characteristic
3C2×#5014C211yesmaximal, characteristic, complemented
4#82236C211yesmaximal, characteristic, complemented
5C2×#4997C211yesmaximal, characteristic, complemented
6#71682C211yesmaximal, characteristic, complemented
7C4×#832C211yesmaximal, characteristic, complemented
8#69648C211yesmaximal, characteristic, complemented
9#69644C211yesmaximal, characteristic, complemented
10#69620C211yesmaximal, characteristic, complemented
11#69615C211yesmaximal, characteristic, complemented
12#69517C211yesmaximal, characteristic, complemented
13#69511C211yesmaximal, characteristic, complemented
14#69481C211yesmaximal, characteristic, complemented
15C4×#809C211yesmaximal, characteristic, complemented
16#21529—31nomaximal, Sylow
17C2×C3×#121C2211yescharacteristic
18C2×C3×C4×D4C2211yescharacteristic
19C2×C3×#117C2211yescharacteristic
20C22×#213C2211yescharacteristic
21C2×#930C2211yescharacteristic
22C22×#208C2211yescharacteristic
23C23×C3⋊C8C2211yescharacteristic
24C2×C4×D12C2211yescharacteristic
25C3×#390—21no—
26C3×#390C2211yescharacteristic
27C3×#389C2211yescharacteristic
28C3×#388—21no—
29C3×#386—21no—
30C3×#385—21no—
31C3×#380C2211yescharacteristic
32C3×C4×C4⋊C4C2211yescharacteristic
33C2×#832C2211yescharacteristic
34C2×#832C2211yescharacteristic
35C2×#832C2211yescharacteristic
36#5212C2211yescharacteristic
37#5038C418yescomplemented
38#5014—24no—
39#4997—24no—
40#4990—21no—
41#4989—21no—
42C2×#809C2211yescharacteristic
43C2×#809C2211yescharacteristic
44C2×#809C2211yescharacteristic
45C2×#808C2211yescharacteristic
46C2×#808C2211yescharacteristic
47C2×#807C2211yescharacteristic
48#4957—21no—
49#4956—21no—
50#4939C2211yescharacteristic
51C4×C4⋊Dic3C2211yescharacteristic
52#4928C2211yescharacteristic
53C2×#803C2211yescharacteristic
54C2×#803C2211yescharacteristic
55C2×C4×C3⋊C8C2211yescharacteristic
56C2×C4×C3⋊C8C2211yescharacteristic
57#4529C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63C2×#466—31no—
64C2×#442—31no—
65C2×#405—31no—
66#2324—31no—
67#2324D311yescharacteristic, complemented
68#1972—31no—
69#1943—31no—
70#1934—31no—
71#1934—31no—
72#1895—31no—
73#1895—31no—
74#1807—31no—
75#1776—31no—
76C4×#102—31no—
77C4×#102—31no—
78C22×C3×D4—21no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C23×C3×C4C2311yescharacteristic
82C22×#67—21no—
83C22×D12C2311yescharacteristic
84C22×C4×D3—21no—
85C3×#121—22no—
86C3×#121C2×C414yescomplemented
87C3×C4×D4—22no—
88C3×C4×D4—22no—
89C3×#117—22no—
90C3×#117—22no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4D411yescharacteristic
93C2×C3×C4⋊C4D411yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C22⋊C4—21no—
98C2×C3×C22⋊C4—21no—
99C2×C3×C22⋊C4—21no—
100C2×C3×C22⋊C4—21no—
101C2×C3×C22⋊C4—21no—
102C2×C3×C22⋊C4D411yescharacteristic
103C2×C3×C22⋊C4D411yescharacteristic
104C2×C3×C42—21no—
105C2×C3×C42C2311yescharacteristic
106C2×C3×C42C2311yescharacteristic
107C2×#217—21no—
108C2×#213—22no—
109C2×#213—22no—
110C2×#213C2×C414yes—
111#930—22no—
112#930C2×C414yescomplemented
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—21no—
117C2×C4⋊Dic3C2311yescharacteristic
118C2×C4⋊Dic3C2311yescharacteristic
119C2×C4⋊Dic3C2311yescharacteristic
120C2×Dic3⋊C4—21no—
121C2×C4×Dic3—21no—
122C2×#208—22no—
123C2×#208—22no—
124C2×#208—22no—
125C22×C3⋊C8—22no—
126C22×C3⋊C8—22no—
127C22×C3⋊C8C2×C414yescomplemented
128C22×C3⋊C8C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C22×C3⋊C8C2311yescharacteristic
132C4×D12—22no—
133C4×D12—22no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137#832—22no—
138#832—22no—
139#832C2×C414yescomplemented
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143#809—22no—
144#809—22no—
145#809C2×C414yescomplemented
146#808—22no—
147#808—22no—
148#807C2×C414yescomplemented
149#803—22no—
150#803D414yescomplemented
151C4×C3⋊C8—22no—
152C4×C3⋊C8—22no—
153C22×D8—31no—
154C22×M16—31no—
155C23×C8—31no—
156C2×#121—31no—
157C2×#121C2×D311yescharacteristic
158C2×C4×D4—31no—
159C2×C4×D4C2×D311yescharacteristic
160C2×#117C2×D311yescharacteristic
161#466—38no—
162#442—64no—
163C2×#107—31no—
164C2×#106—31no—
165C2×#106—31no—
166C2×#102—31no—
167C2×#102—31no—
168C2×#102—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×#102—31no—
172#405—64no—
173C2×#97—31no—
174C2×#97—31no—
175C2×C4×C8—31no—
176C2×C4×C8—31no—
177#390—21no—
178#390—31no—
179#390—61no—
180#390C2×D311yescharacteristic
181#389—31no—
182#389C2×D311yescharacteristic
183#388—21no—
184#388—61no—
185#386—21no—
186#386—61no—
187#385—21no—
188#385—61no—
189#380—31no—
190#380C2×D311yescharacteristic
191C4×C4⋊C4—31no—
192C4×C4⋊C4C2×D311yescharacteristic
193#340—31no—
194#340—31no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199C24×C3—21no—
200C24×C3C2×D411yescharacteristic
201C23×D3—21no—
202C2×C3×D4—24no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4—81no—
209C2×C3×D4—81no—
210C2×C3×D4C22×C412yes—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—42no—
219C22×C3×C4—81no—
220C22×C3×C4—81no—
221C22×C3×C4C22×C412yes—
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4#4112yes—
228C22×C3×C4C2411yescharacteristic
229C2×#67—24no—
230C2×#67—81no—
231C2×#67—81no—
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3—21no—
235C2×D12—21no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12C22×C412yes—
241C2×C4×D3—42no—
242C2×C4×D3—81no—
243C2×C4×D3—81no—
244C3×C4⋊C4—22no—
245C3×C4⋊C4—22no—
246C3×C4⋊C4—21no—
247C3×C4⋊C4—21no—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—21no—
251C3×C4⋊C4—81no—
252C3×C4⋊C4C22×C412yes—
253C3×C22⋊C4—24no—
254C3×C22⋊C4—22no—
255C3×C22⋊C4—22no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—81no—
258C3×C22⋊C4—81no—
259C3×C22⋊C4—81no—
260C3×C42—21no—
261C3×C42—21no—
262C3×C42—81no—
263C3×C42C2×D412yes—
264C3×C42#4112yes—
265#217—81no—
266#213—28no—
267(C2×D3)⋊C4—24no—
268(C2×D3)⋊C4—42no—
269(C2×D3)⋊C4—81no—
270(C2×D3)⋊C4—81no—
271C4⋊Dic3—21no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274C4⋊Dic3—21no—
275C4⋊Dic3—21no—
276C4⋊Dic3C22×C412yes—
277Dic3⋊C4—81no—
278C4×Dic3—81no—
279#208—28no—
280C2×C3⋊C8—21no—
281C2×C3⋊C8—21no—
282C2×C3⋊C8—21no—
283C2×C3⋊C8—21no—
284C2×C3⋊C8—21no—
285C2×C3⋊C8—21no—
286C2×C3⋊C8—28no—
287C2×C3⋊C8C22×C412yes—
288C2×C3⋊C8C22×C412yes—
289C2×C3⋊C8C2×D412yes—
290C2×C3⋊C8C2×D412yes—
291C2×C3⋊C8#4112yes—
292C2×C3⋊C8#4112yes—
293C22×D4—21no—
294C22×D4—31no—
295C22×D4—61no—
296C22×D4C22×D311yescharacteristic
297C23×C4—21no—
298C23×C4—61no—
299C23×C4C22×D311yescharacteristic
300C2×D8—34no—
301C2×D8—62no—
302C2×D8—62no—
303C2×M16—62no—
304C2×M16—62no—
305C2×M16—62no—
306C22×C8—31no—
307C22×C8—34no—
308C22×C8—31no—
309C22×C8—31no—
310C22×C8—31no—
311C22×C8—62no—
312C22×C8—62no—
313#121—22no—
314#121—34no—
315#121—62no—
316#121C4×D314yescomplemented
317C4×D4—22no—
318C4×D4—22no—
319C4×D4—62no—
320C4×D4—62no—
321#117—22no—
322#117—22no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—31no—
325C2×C4⋊C4—31no—
326C2×C4⋊C4—31no—
327C2×C4⋊C4—61no—
328C2×C4⋊C4#6711yescharacteristic
329C2×C4⋊C4#6711yescharacteristic
330C2×C4⋊C4C22×D311yescharacteristic
331C2×C4⋊C4C22×D311yescharacteristic
332C2×C4⋊C4C22×D311yescharacteristic
333C2×C22⋊C4—21no—
334C2×C22⋊C4—21no—
335C2×C22⋊C4—21no—
336C2×C22⋊C4—21no—
337C2×C22⋊C4—21no—
338C2×C22⋊C4—61no—
339C2×C22⋊C4—61no—
340C2×C22⋊C4—61no—
341C2×C22⋊C4—61no—
342C2×C22⋊C4—61no—
343C2×C22⋊C4#6711yescharacteristic
344C2×C22⋊C4#6711yescharacteristic
345C2×C42—21no—
346C2×C42—61no—
347C2×C42C22×D311yescharacteristic
348C2×C42C22×D311yescharacteristic
349#107—34no—
350#106—62no—
351#106—62no—
352#102—34no—
353#102—34no—
354#102—62no—
355#102—62no—
356#102—62no—
357#102—62no—
358#97—34no—
359#97—62no—
360C4×C8—62no—
361C4×C8—62no—
362#95—21no—
363#95—21no—
364#95—21no—
365#95—61no—
366#95—61no—
367#95—61no—
368C23×C3—21no—
369C23×C3—21no—
370C23×C3—21no—
371C23×C3—21no—
372C23×C3—21no—
373C23×C3—21no—
374C23×C3—22no—
375C23×C3—41no—
376C23×C3—41no—
377C23×C3—41no—
378C23×C3—41no—
379C23×C3—41no—
380C23×C3—41no—
381C23×C3C4×D412yes—
382C23×C3C22×D411yescharacteristic
383C22×D3—22no—
384C22×D3—41no—
385C22×D3—41no—
386C22×D3—41no—
387C22×D3—41no—
388C22×D3—41no—
389C22×D3—41no—
390C3×D4—22no—
391C3×D4—22no—
392C3×D4—41no—
393C3×D4—41no—
394C3×D4—84no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—21no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—21no—
407C2×C3×C4—21no—
408C2×C3×C4—21no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—84no—
421C2×C3×C4C4×D412yes—
422C2×C3×C4#12112yes—
423C2×C3×C4#12112yes—
424C2×C3×C4C23×C411yescharacteristic
425C2×C3×C4C22×D411yescharacteristic
426C2×C3×C4C2×#4111yescharacteristic
427C2×C3×C4C2×#4111yescharacteristic
428C2×C3×C4C2×#4111yescharacteristic
429C2×C3×C4C2×#4111yescharacteristic
430#67—84no—
431C2×Dic3—22no—
432C2×Dic3—41no—
433C2×Dic3—41no—
434C2×Dic3—41no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3—41no—
440D12—22no—
441D12—22no—
442D12—41no—
443D12—41no—
444C4×D3—84no—
445C3⋊C8—22no—
446C3⋊C8—22no—
447C3⋊C8—22no—
448C3⋊C8C4×D414yes—
449C24—21no—
450C24—61no—
451C24C2×#6711yescharacteristic
452C2×D4—24no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—32no—
459C2×D4—64no—
460C2×D4—61no—
461C2×D4—61no—
462C2×D4—61no—
463C2×D4—61no—
464C2×D4—61no—
465C2×D4—81no—
466C2×D4—81no—
467C2×D4—241no—
468C2×D4—241no—
469C2×D4C2×C4×D312yes—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—42no—
478C22×C4—61no—
479C22×C4—61no—
480C22×C4—61no—
481C22×C4—81no—
482C22×C4—81no—
483C22×C4—122no—
484C22×C4—241no—
485C22×C4—241no—
486C22×C4C2×C4×D312yes—
487C22×C4#23512yes—
488C22×C4C2×#6711yescharacteristic
489C22×C4C2×#6711yescharacteristic
490C22×C4C2×#6711yescharacteristic
491C22×C4C2×#6711yescharacteristic
492C22×C4C2×#6711yescharacteristic
493C22×C4C23×D311yescharacteristic
494D8—68no—
495M16—68no—
496C2×C8—32no—
497C2×C8—32no—
498C2×C8—32no—
499C2×C8—32no—
500C2×C8—32no—
501C2×C8—32no—
502C2×C8—68no—
503C2×C8—61no—
504C2×C8—61no—
505C2×C8—61no—
506C2×C8—61no—
507C2×C8—61no—
508C2×C8—61no—
509C4⋊C4—22no—
510C4⋊C4—22no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—32no—
517C4⋊C4—61no—
518C4⋊C4—61no—
519C4⋊C4—61no—
520C4⋊C4—61no—
521C4⋊C4—61no—
522C4⋊C4—81no—
523C4⋊C4—241no—
524C4⋊C4C2×C4×D312yes—
525C22⋊C4—24no—
526C22⋊C4—22no—
527C22⋊C4—22no—
528C22⋊C4—42no—
529C22⋊C4—64no—
530C22⋊C4—81no—
531C22⋊C4—81no—
532C22⋊C4—81no—
533C22⋊C4—122no—
534C22⋊C4—241no—
535C22⋊C4—241no—
536C22⋊C4—241no—
537C42—21no—
538C42—21no—
539C42—81no—
540C42—241no—
541C42D3×D412yes—
542C42#23712yes—
543C22×C3—22no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—41no—
547C22×C3—41no—
548C22×C3—41no—
549C22×C3—41no—
550C22×C3—42no—
551C22×C3—42no—
552C22×C3—42no—
553C22×C3—81no—
554C22×C3—81no—
555C22×C3—81no—
556C22×C3—81no—
557C22×C3C2×C4×D411yescharacteristic
558C22×C3C2×#12111yescharacteristic
559C22×C3#53211yescharacteristic
560C22×C3#57611yescharacteristic
561C22×C3#57611yescharacteristic
562C22×C3#57711yescharacteristic
563C22×C3#57711yescharacteristic
564C2×D3—42no—
565C2×D3—42no—
566C2×D3—42no—
567C2×D3—81no—
568C2×D3—81no—
569C2×D3—81no—
570C2×D3—81no—
571C3×C4—22no—
572C3×C4—22no—
573C3×C4—22no—
574C3×C4—42no—
575C3×C4—41no—
576C3×C4—41no—
577C3×C4—81no—
578C3×C4—81no—
579C3×C4C2×C4×D411yescharacteristic
580C3×C4C4×#4111yescharacteristic
581C3×C4#52511yescharacteristic
582C3×C4#52911yescharacteristic
583Dic3—42no—
584Dic3—81no—
585Dic3—81no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—22no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—62no—
600C23—121no—
601C23—121no—
602C23—121no—
603C23—121no—
604C23—121no—
605C23—121no—
606C23C4×#6712yes—
607C23C22×#6711yescharacteristic
608D4—22no—
609D4—22no—
610D4—41no—
611D4—41no—
612D4—62no—
613D4—62no—
614D4—84no—
615D4—121no—
616D4—121no—
617D4—244no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—62no—
644C2×C4—84no—
645C2×C4—121no—
646C2×C4—121no—
647C2×C4—121no—
648C2×C4—121no—
649C2×C4—121no—
650C2×C4—121no—
651C2×C4—121no—
652C2×C4—121no—
653C2×C4—244no—
654C2×C4C4×#6712yes—
655C2×C4#93912yes—
656C2×C4#93912yes—
657C2×C4C22×C4×D311yescharacteristic
658C2×C4C2×#23511yescharacteristic
659C2×C4C2×D3×D411yescharacteristic
660C2×C4C2×#23711yescharacteristic
661C2×C4D3×#4111yescharacteristic
662C2×C4D3×#4111yescharacteristic
663C8—34no—
664C8—62no—
665C8—62no—
666C8—62no—
667C2×C3—42no—
668C2×C3—82no—
669C2×C3C4×#12111yescharacteristic
670C2×C3#294811yescharacteristic
671C2×C3#295211yescharacteristic
672C2×C3#306211yescharacteristic
673C2×C3#306211yescharacteristic
674C2×C3#317911yescharacteristic
675C2×C3#317911yescharacteristic
676D3—82no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—122no—
692C22—122no—
693C22—122no—
694C22—241no—
695C22—241no—
696C22—241no—
697C22—241no—
698C22C2×C4×#6711yescharacteristic
699C22C2×#93911yescharacteristic
700C22#583211yescharacteristic
701C22#583511yescharacteristic
702C22#583511yescharacteristic
703C22#583611yescharacteristic
704C22#583711yescharacteristic
705C4—22no—
706C4—22no—
707C4—22no—
708C4—42no—
709C4—41no—
710C4—41no—
711C4—81no—
712C4—81no—
713C4—122no—
714C4—241no—
715C4—241no—
716C4C4×#23711yescharacteristic
717C4#553811yescharacteristic
718C4C4×D3×D411yescharacteristic
719C4#554711yescharacteristic
720C3#2152911yescharacteristic, complemented, Sylow
721C2—42no—
722C2—82no—
723C2—242no—
724C2C4×#93911yescharacteristic
725C2#8253811yescharacteristic
726C2#8255811yescharacteristic
727C2#8337911yescharacteristic
728C2#8342211yescharacteristic
729C2#8343311yescharacteristic
730C2#8345911yescharacteristic
subgroupG/H
centerC23C22×#67
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#2324C2
socleC23×C3C22×D4
prime radicalC2×#5038C2
cosocleC22×C3×C4C24
hypercenter#2324D3
hypocenterC3#21529
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
1. C3×#2324C2semidirect
3. C2×#5014C2semidirect
4. #82236C2semidirect
5. C2×#4997C2semidirect
6. #71682C2semidirect
7. C4×#832C2semidirect
8. #69648C2semidirect
9. #69644C2semidirect
10. #69620C2semidirect
11. #69615C2semidirect
12. #69517C2semidirect
13. #69511C2semidirect
14. #69481C2semidirect
15. C4×#809C2semidirect
37. #5038C4semidirect
67. #2324D3semidirect
86. C3×#121C2×C4semidirect
112. #930C2×C4semidirect
127. C22×C3⋊C8C2×C4semidirect
139. #832C2×C4semidirect
145. #809C2×C4semidirect
148. #807C2×C4semidirect
150. #803D4semidirect
316. #121C4×D3semidirect
720. C3#21529semidirect

Maximal subgroups

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

subgroupindex
C3×#23242
C2×#50382
C2×#50142
#822362
C2×#49972
#716822
C4×#8322
#696482
#696442
#696202
#696152
#695172
#695112
#694812
C4×#8092
#215293