Finite Group Databasebeta

← #10801887

Subgroups — #10801887

Order 768.

1170 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Dic3×M16C211yesmaximal, characteristic, complemented
2Dic3×#121C211yesmaximal, characteristic, complemented
3C2×#5039C211yesmaximal, characteristic
4C2×#4785C211yesmaximal, characteristic, complemented
5#73865C211yesmaximal, characteristic, complemented
6C3×#1895C211yesmaximal, characteristic, complemented
7#71990C211yesmaximal, characteristic, complemented
8#70190C211yesmaximal, characteristic, complemented
9#70186C211yesmaximal, characteristic, complemented
10#70152C211yesmaximal, characteristic, complemented
11#69513C211yesmaximal, characteristic, complemented
12#68858C211yesmaximal, characteristic, complemented
13#68853C211yesmaximal, characteristic, complemented
14#68786C211yesmaximal, characteristic, complemented
15#68782C211yesmaximal, characteristic, complemented
16#21538—31nomaximal, Sylow
17C22×C3×M16C2211yescharacteristic
18C2×C3×#121C2211yescharacteristic
19C2×D4×Dic3—21no—
20C2×D4×Dic3C2211yescharacteristic
21C22×#213C2211yescharacteristic
22C2×#930C2211yescharacteristic
23C22×C4×Dic3C2211yescharacteristic
24C22×#208C2211yescharacteristic
25C2×#893C2211yescharacteristic
26C2×#67⋊C4—21no—
27C2×C3×#102C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C3×#380C2211yescharacteristic
30#5221C2211yescharacteristic
31#5220—21no—
32C2×#832C2211yescharacteristic
33#5212C2211yescharacteristic
34Dic3×M16—24no—
35C2×#821C2211yescharacteristic
36C2×#821C2211yescharacteristic
37C2×#815C2211yescharacteristic
38C2×#815C2211yescharacteristic
39C2×C8×Dic3C2211yescharacteristic
40C2×C8×Dic3C2211yescharacteristic
41#5039C418yescomplemented
42#4988C2211yescharacteristic
43#4984C2211yescharacteristic
44Dic3×C4⋊C4C2211yescharacteristic
45Dic3×C4⋊C4C2211yescharacteristic
46#4972C2211yescharacteristic
47C2×#809C2211yescharacteristic
48C2×#808C2211yescharacteristic
49C2×#808C2211yescharacteristic
50C2×#807C2211yescharacteristic
51#4958—21no—
52#4951—21no—
53Dic3×C22⋊C4—21no—
54#4785—24no—
55#4669—21no—
56#4666—21no—
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59#4551C2211yescharacteristic
60#4551C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63C2×#469—31no—
64C2×#442—31no—
65C2×C4×M16—31no—
66C4×#121—31no—
67C4×#121—31no—
68#1970—31no—
69#1941—31no—
70#1934—31no—
71#1934—31no—
72#1895—31no—
73#1895D311yescharacteristic, complemented
74#1809—31no—
75#1776—31no—
76#1762—31no—
77#1762—31no—
78C22×C3×D4—21no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C22×#67—21no—
82C23×Dic3—21no—
83C23×Dic3D411yescharacteristic
84C23×Dic3D411yescharacteristic
85C22×D12C2311yescharacteristic
86C22×C4×D3—21no—
87C2×C3×M16—22no—
88C2×C3×M16—22no—
89C2×C3×M16—22no—
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C3×#121—22no—
93C3×#121C2×C414yescomplemented
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C22⋊C4—21no—
98C2×C3×C22⋊C4—21no—
99C2×#217—21no—
100C2×#217—21no—
101C2×#217—21no—
102C2×#217—21no—
103D4×Dic3—22no—
104D4×Dic3—22no—
105D4×Dic3—44no—
106C2×#213—22no—
107C2×#213—22no—
108C2×#213C2×C414yescomplemented
109#930—22no—
110#930C2×C414yescomplemented
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115C2×C4⋊Dic3—21no—
116C2×C4⋊Dic3C2311yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118C2×C4⋊Dic3C2311yescharacteristic
119C2×Dic3⋊C4—21no—
120C2×C4×Dic3—22no—
121C2×C4×Dic3—22no—
122C2×C4×Dic3—21no—
123C2×C4×Dic3—21no—
124C2×C4×Dic3D411yescharacteristic
125C2×C4×Dic3D411yescharacteristic
126C2×C4×Dic3C2311yescharacteristic
127C2×C4×Dic3C2311yescharacteristic
128C2×#208—22no—
129C2×#208—22no—
130C2×#208C2×C414yescomplemented
131C22×C3⋊C8C2311yescharacteristic
132C22×C3⋊C8C2311yescharacteristic
133#893—22no—
134#893—22no—
135#67⋊C4—44no—
136C3×#102—22no—
137C3×#102—22no—
138C3×#95—21no—
139#832C2×C414yescomplemented
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145#821—22no—
146#821—22no—
147#815—22no—
148#815D414yescomplemented
149C8×Dic3—22no—
150C8×Dic3—22no—
151#809C2×C414yescomplemented
152#808—22no—
153#808C2×C414yescomplemented
154#807—22no—
155C22×D8—31no—
156C22×M16—31no—
157C22×M16C2×D311yescharacteristic
158C2×#121—31no—
159C2×#121C2×D311yescharacteristic
160C2×C4×D4—31no—
161C2×C4×D4—31no—
162C2×C4×D4—61no—
163C2×C4×D4—61no—
164C22×C42—31no—
165#469—38no—
166#442—64no—
167C2×#107—31no—
168C2×#106—31no—
169C2×#106—31no—
170C2×#102—31no—
171C2×#102—31no—
172C2×#102—31no—
173C2×#102—31no—
174C2×#102C2×D311yescharacteristic
175C2×#102C2×D311yescharacteristic
176C4×M16—64no—
177C2×#97—31no—
178C2×#97—31no—
179C2×C4×C8—31no—
180C2×C4×C8—31no—
181#390—31no—
182#390—31no—
183#389—31no—
184#389—31no—
185#388—61no—
186#388—61no—
187#386—61no—
188#386—61no—
189#380—31no—
190#380C2×D311yescharacteristic
191C4×C4⋊C4—31no—
192C4×C4⋊C4—31no—
193C4×C22⋊C4—61no—
194C4×C22⋊C4—61no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199#340C2×D311yescharacteristic
200#340C2×D311yescharacteristic
201C24×C3—21no—
202C24×C3C2×D411yescharacteristic
203C23×D3—21no—
204C2×C3×D4—24no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4—21no—
209C2×C3×D4—21no—
210C2×C3×D4—42no—
211C2×C3×D4—42no—
212C2×C3×D4C22×C412yes—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4C22×C412yes—
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4#4112yes—
223C22×C3×C4C2411yescharacteristic
224C2×#67—24no—
225C2×#67—42no—
226C2×#67—42no—
227C22×Dic3—21no—
228C22×Dic3—22no—
229C22×Dic3—22no—
230C22×Dic3—22no—
231C22×Dic3—22no—
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3—41no—
235C22×Dic3—41no—
236C22×Dic3—42no—
237C22×Dic3—42no—
238C22×Dic3—42no—
239C22×Dic3C2×D411yescharacteristic
240C22×Dic3C2×D411yescharacteristic
241C22×Dic3C2×D411yescharacteristic
242C22×Dic3C2×D411yescharacteristic
243C2×D12—21no—
244C2×D12—21no—
245C2×D12—21no—
246C2×D12—21no—
247C2×D12—21no—
248C2×D12C22×C412yes—
249C2×C4×D3—42no—
250C2×C4×D3—42no—
251C2×C4×D3—42no—
252C3×M16—28no—
253C2×C3×C8—21no—
254C2×C3×C8—21no—
255C2×C3×C8—21no—
256C2×C3×C8—21no—
257C2×C3×C8C2×D412yes—
258C2×C3×C8#4112yes—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4C22×C412yes—
265C3×C22⋊C4—24no—
266C3×C22⋊C4—42no—
267#217—42no—
268#217—42no—
269#217—42no—
270#217—42no—
271#213—28no—
272(C2×D3)⋊C4—24no—
273(C2×D3)⋊C4—42no—
274(C2×D3)⋊C4—42no—
275(C2×D3)⋊C4—42no—
276C4⋊Dic3—21no—
277C4⋊Dic3—21no—
278C4⋊Dic3—21no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3—42no—
282C4⋊Dic3C22×C412yes—
283Dic3⋊C4—42no—
284C4×Dic3—21no—
285C4×Dic3—21no—
286C4×Dic3—22no—
287C4×Dic3—22no—
288C4×Dic3—42no—
289C4×Dic3—42no—
290C4×Dic3C2×D412yes—
291C4×Dic3#4112yes—
292#208—28no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8C22×C412yes—
296C2×C3⋊C8C22×C412yes—
297C2×C3⋊C8C2×D412yes—
298C2×C3⋊C8#4112yes—
299C22×D4—21no—
300C22×D4—31no—
301C22×D4—61no—
302C22×D4C22×D311yescharacteristic
303C23×C4—31no—
304C23×C4—31no—
305C23×C4—61no—
306C23×C4—61no—
307C23×C4C22×D311yescharacteristic
308C2×D8—34no—
309C2×D8—62no—
310C2×D8—62no—
311C2×M16—22no—
312C2×M16—22no—
313C2×M16—22no—
314C2×M16—34no—
315C2×M16—62no—
316C2×M16—62no—
317C22×C8—31no—
318C22×C8—31no—
319C22×C8C22×D311yescharacteristic
320C22×C8C22×D311yescharacteristic
321#121—22no—
322#121—34no—
323#121—62no—
324#121C4×D314yescomplemented
325C4×D4—62no—
326C4×D4—62no—
327C4×D4—62no—
328C4×D4—62no—
329C4×D4—124no—
330C4×D4—124no—
331C2×C4⋊C4—31no—
332C2×C4⋊C4—31no—
333C2×C4⋊C4—31no—
334C2×C4⋊C4—61no—
335C2×C4⋊C4—61no—
336C2×C4⋊C4C22×D311yescharacteristic
337C2×C4⋊C4C22×D311yescharacteristic
338C2×C4⋊C4C22×D311yescharacteristic
339C2×C22⋊C4—21no—
340C2×C22⋊C4—21no—
341C2×C22⋊C4—61no—
342C2×C22⋊C4—61no—
343C2×C22⋊C4—61no—
344C2×C22⋊C4—61no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4—61no—
347C2×C22⋊C4—61no—
348C2×C22⋊C4—61no—
349C2×C42—31no—
350C2×C42—31no—
351C2×C42—31no—
352C2×C42—31no—
353C2×C42—62no—
354C2×C42—62no—
355C2×C42—61no—
356C2×C42—61no—
357#107—62no—
358#106—34no—
359#106—62no—
360#102—22no—
361#102—22no—
362#102—34no—
363#102—34no—
364#102—62no—
365#102—62no—
366#97—34no—
367#97—62no—
368C4×C8—62no—
369C4×C8—62no—
370#95—21no—
371#95—61no—
372#95—61no—
373#95—61no—
374#95—61no—
375#95—61no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3—22no—
383C23×C3—41no—
384C23×C3—41no—
385C23×C3—41no—
386C23×C3—41no—
387C23×C3—41no—
388C23×C3—41no—
389C23×C3C4×D412yes—
390C23×C3C22×D411yescharacteristic
391C22×D3—22no—
392C22×D3—41no—
393C22×D3—41no—
394C22×D3—41no—
395C22×D3—41no—
396C22×D3—41no—
397C22×D3—41no—
398C3×D4—22no—
399C3×D4—22no—
400C3×D4—48no—
401C3×D4—41no—
402C3×D4—41no—
403C2×C3×C4—21no—
404C2×C3×C4—21no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
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×C4C4×D412yes—
419C2×C3×C4C23×C411yescharacteristic
420C2×C3×C4C22×D411yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C2×C3×C4C2×#4111yescharacteristic
423C2×C3×C4C2×#4111yescharacteristic
424C2×C3×C4C2×#4111yescharacteristic
425#67—48no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—21no—
430C2×Dic3—21no—
431C2×Dic3—21no—
432C2×Dic3—21no—
433C2×Dic3—21no—
434C2×Dic3—22no—
435C2×Dic3—44no—
436C2×Dic3—44no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—84no—
446C2×Dic3#12112yes—
447C2×Dic3#12112yes—
448C2×Dic3AGL(1,ℤ/8)12yes—
449C2×Dic3AGL(1,ℤ/8)12yes—
450D12—22no—
451D12—22no—
452D12—41no—
453D12—41no—
454C4×D3—84no—
455C3×C8—22no—
456C3×C8—22no—
457C3⋊C8—22no—
458C3⋊C8C4×D414yescomplemented
459C24—21no—
460C24—61no—
461C24D3×D411yescharacteristic
462C2×D4—24no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—32no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—64no—
472C2×D4—61no—
473C2×D4—61no—
474C2×D4—61no—
475C2×D4—61no—
476C2×D4—61no—
477C2×D4—122no—
478C2×D4—122no—
479C2×D4C2×C4×D312yes—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—31no—
488C22×C4—31no—
489C22×C4—31no—
490C22×C4—31no—
491C22×C4—62no—
492C22×C4—62no—
493C22×C4—62no—
494C22×C4—62no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—122no—
499C22×C4—122no—
500C22×C4—122no—
501C22×C4—122no—
502C22×C4—121no—
503C22×C4—121no—
504C22×C4—122no—
505C22×C4—122no—
506C22×C4C2×C4×D312yes—
507C22×C4D3×D411yescharacteristic
508C22×C4#23712yes—
509C22×C4C23×D311yescharacteristic
510D8—68no—
511M16—28no—
512M16—68no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—32no—
518C2×C8—32no—
519C2×C8—32no—
520C2×C8—32no—
521C2×C8—61no—
522C2×C8—61no—
523C2×C8D3×D412yes—
524C2×C8#23712yes—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—32no—
531C4⋊C4—61no—
532C4⋊C4—61no—
533C4⋊C4—61no—
534C4⋊C4—61no—
535C4⋊C4—61no—
536C4⋊C4—122no—
537C4⋊C4—122no—
538C4⋊C4C2×C4×D312yes—
539C22⋊C4—24no—
540C22⋊C4—42no—
541C22⋊C4—64no—
542C22⋊C4—122no—
543C22⋊C4—122no—
544C22⋊C4—122no—
545C22⋊C4—122no—
546C22⋊C4—122no—
547C22⋊C4—122no—
548C22⋊C4—122no—
549C42—32no—
550C42—32no—
551C42—62no—
552C42—62no—
553C42—61no—
554C42—61no—
555C42—122no—
556C42—122no—
557C22×C3—22no—
558C22×C3—22no—
559C22×C3—22no—
560C22×C3—41no—
561C22×C3—41no—
562C22×C3—41no—
563C22×C3—41no—
564C22×C3—42no—
565C22×C3—42no—
566C22×C3—42no—
567C22×C3—81no—
568C22×C3—81no—
569C22×C3—81no—
570C22×C3—81no—
571C22×C3C2×C4×D411yescharacteristic
572C22×C3C2×#12111yescharacteristic
573C22×C3#53211yescharacteristic
574C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
575C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
576C22×C3#57511yescharacteristic
577C22×C3#57511yescharacteristic
578C2×D3—42no—
579C2×D3—42no—
580C2×D3—42no—
581C2×D3—81no—
582C2×D3—81no—
583C2×D3—81no—
584C2×D3—81no—
585C3×C4—22no—
586C3×C4—42no—
587C3×C4—81no—
588C3×C4—81no—
589C3×C4C2×C4×D411yescharacteristic
590C3×C4C4×#4111yescharacteristic
591C3×C4#52511yescharacteristic
592C3×C4#52911yescharacteristic
593Dic3—22no—
594Dic3—22no—
595Dic3—22no—
596Dic3—22no—
597Dic3—42no—
598Dic3—81no—
599Dic3—81no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—22no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—62no—
614C23—121no—
615C23—121no—
616C23—121no—
617C23—121no—
618C23—121no—
619C23—121no—
620C23#67⋊C412yes—
621C23C2×D3×D411yescharacteristic
622D4—22no—
623D4—22no—
624D4—48no—
625D4—41no—
626D4—41no—
627D4—62no—
628D4—62no—
629D4—128no—
630D4—121no—
631D4—121no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—32no—
640C2×C4—32no—
641C2×C4—32no—
642C2×C4—32no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—61no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—62no—
660C2×C4—124no—
661C2×C4—124no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—244no—
671C2×C4—244no—
672C2×C4#67⋊C412yes—
673C2×C4C22×C4×D311yescharacteristic
674C2×C4C2×D3×D411yescharacteristic
675C2×C4C2×#23711yescharacteristic
676C2×C4C2×#23711yescharacteristic
677C2×C4D3×#4111yescharacteristic
678C2×C4D3×#4111yescharacteristic
679C8—22no—
680C8—22no—
681C8—34no—
682C8—62no—
683C2×C3—42no—
684C2×C3—82no—
685C2×C3C4×#12111yescharacteristic
686C2×C3C4×AGL(1,ℤ/8)11yescharacteristic
687C2×C3C4×AGL(1,ℤ/8)11yescharacteristic
688C2×C3#305511yescharacteristic
689C2×C3#305511yescharacteristic
690C2×C3#318311yescharacteristic
691C2×C3#318411yescharacteristic
692D3—82no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—122no—
708C22—122no—
709C22—122no—
710C22—241no—
711C22—241no—
712C22—241no—
713C22—241no—
714C22C2×#67⋊C411yescharacteristic
715C22#559611yescharacteristic
716C22D3×#12111yescharacteristic
717C22D3×AGL(1,ℤ/8)11yescharacteristic
718C22D3×AGL(1,ℤ/8)11yescharacteristic
719C22#577311yescharacteristic
720C22#577711yescharacteristic
721C4—22no—
722C4—42no—
723C4—62no—
724C4—62no—
725C4—62no—
726C4—62no—
727C4—81no—
728C4—81no—
729C4—122no—
730C4—241no—
731C4—241no—
732C4C4×#23711yescharacteristic
733C4C4×D3×D411yescharacteristic
734C4#558611yescharacteristic
735C4#564911yescharacteristic
736C3#2153811yescharacteristic, complemented, Sylow
737C2—42no—
738C2—82no—
739C2—242no—
740C2#7466011yescharacteristic
741C2#7886611yescharacteristic
742C2#7891411yescharacteristic
743C2#8079111yescharacteristic
744C2#8080511yescharacteristic
745C2#8085311yescharacteristic
746C2#8086411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1895C2
socleC23×C3C22×D4
prime radicalC2×#5039C2
cosocleC22×C3×C4C24
hypercenter#1895D3
hypocenterC3#21538
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1895

Complements

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

NH ≅ G/Ntype
1. C2×Dic3×M16C2semidirect
2. Dic3×#121C2semidirect
4. C2×#4785C2semidirect
5. #73865C2semidirect
6. C3×#1895C2semidirect
7. #71990C2semidirect
8. #70190C2semidirect
9. #70186C2semidirect
10. #70152C2semidirect
11. #69513C2semidirect
12. #68858C2semidirect
13. #68853C2semidirect
14. #68786C2semidirect
15. #68782C2semidirect
41. #5039C4semidirect
73. #1895D3semidirect
93. C3×#121C2×C4semidirect
108. C2×#213C2×C4semidirect
110. #930C2×C4semidirect
130. C2×#208C2×C4semidirect
139. #832C2×C4semidirect
148. #815D4semidirect
151. #809C2×C4semidirect
153. #808C2×C4semidirect
324. #121C4×D3semidirect
458. C3⋊C8C4×D4semidirect
736. C3#21538semidirect

Maximal subgroups

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

subgroupindex
C2×Dic3×M162
Dic3×#1212
C2×#50392
C2×#47852
#738652
C3×#18952
#719902
#701902
#701862
#701522
#695132
#688582
#688532
#687862
#687822
#215383