Finite Group Databasebeta

← #11069546

Subgroups — #11069546

Order 768.

2238 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5643C212yesmaximal, complemented
2C3×#2538C211yesmaximal, characteristic, complemented
3#82754C212yesmaximal, complemented
4Q8×C4⋊Dic3C211yesmaximal, characteristic, complemented
5C4×#947C211yesmaximal, characteristic, complemented
6#82417C211yesmaximal, characteristic
7#82319C211yesmaximal, characteristic, complemented
8#77441C214yesmaximal, complemented
9#77427C214yesmaximal, complemented
10#76451C212yesmaximal, complemented
11#76335C212yesmaximal, complemented
12#76237C212yesmaximal, complemented
13#75999C212yesmaximal, complemented
14#74360C211yesmaximal, characteristic, complemented
15#74356C211yesmaximal, characteristic, complemented
16#73954C212yesmaximal, complemented
17#73893C212yesmaximal, complemented
18#39377—31nomaximal, Sylow
19C2×C3×C22⋊Q8C2212yes—
20C2×C3×C4×Q8C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×#947C2211yescharacteristic
23C2×Q8×Dic3C2212yes—
24C2×#938C2212yes—
25C2×#930C2212yes—
26C2×#926C2212yes—
27#5643—216no—
28C2×#898C2214yes—
29C2×#897C2214yes—
30C2×#893C2212yes—
31C2×D3×C4⋊C4C2212yes—
32C2×#888C2212yes—
33C2×#888C2212yes—
34C2×#888C2212yes—
35C2×#885C2214yes—
36C2×#883C2214yes—
37C2×#883C2214yes—
38C2×C4×D12C2211yescharacteristic
39C3×#396C2214yes—
40C3×#390C2212yes—
41C3×#389C2212yes—
42C3×#384C2211yescharacteristic
43C3×#380C2212yes—
44#5229C2211yescharacteristic
45#5221C2211yescharacteristic
46#5221C2211yescharacteristic
47#5212C2212yes—
48C4×#217C2212yes—
49#4990C2212yes—
50#4990C2212yes—
51#4989C2214yes—
52#4988C2211yescharacteristic
53#4987C2212yes—
54#4987C2212yes—
55#4984C2214yes—
56#4984C2212yes—
57#4984C2211yescharacteristic
58#4984C2211yescharacteristic
59#4981C2214yes—
60#4978C2214yes—
61#4977C2211yescharacteristic
62#4975C2212yes—
63#4975C2212yes—
64#4975C2212yes—
65#4972C2212yes—
66#4961C2214yes—
67#4959C2214yes—
68#4951C2212yes—
69#4951C2212yes—
70#4949C2214yes—
71#4949C2214yes—
72#4947C2214yes—
73#4944C2214yes—
74C4×(C2×D3)⋊C4C2212yes—
75C4×(C2×D3)⋊C4C2212yes—
76#4935C2212yes—
77#4935C2211yescharacteristic
78C4×C4⋊Dic3C2211yescharacteristic
79C4×C4⋊Dic3C2212yes—
80C42×Dic3C2211yescharacteristic
81#4675C2214yes—
82#4668C2214yes—
83#4660C2214yes—
84#4656C2214yes—
85C2×#542—32no—
86#2868—31no—
87#2718—34no—
88#2674—34no—
89#2628—32no—
90#2538D311yescharacteristic, complemented
91#2537—31no—
92#2501—32no—
93#2496—32no—
94#2491—32no—
95#2440—32no—
96#2423—32no—
97#2422—32no—
98Q8×C4⋊C4—31no—
99D4×C4⋊C4—31no—
100C4×#124—31no—
101#2293—31no—
102C22×C3×Q8C2311yescharacteristic
103C22×C3×D4C2311yescharacteristic
104C23×C3×C4C2312yes—
105C22×#67C2314yes—
106C22×D12C2311yescharacteristic
107C22×C4×D3C2312yes—
108C22×C4×D3C2314yes—
109C22×Dic6C2314yes—
110C3×C22⋊Q8—28no—
111C3×C4×Q8—24no—
112C3×C4×D4—24no—
113C2×C3×C4⋊C4C2312yes—
114C2×C3×C4⋊C4C2312yes—
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2314yes—
117C2×C3×C4⋊C4C2311yescharacteristic
118C2×C3×C4⋊C4C2312yes—
119C2×C3×C4⋊C4C2312yes—
120C2×C3×C22⋊C4C2314yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2314yes—
123C2×C3×C42C2312yes—
124C2×C3×C42C2311yescharacteristic
125C2×#217C2312yes—
126C2×#217C2312yes—
127C2×#217C2312yes—
128C2×#217C2312yes—
129C2×#217C2314yes—
130#947D418yescomplemented
131Q8×Dic3—28no—
132#938—44no—
133#930—28no—
134C2×(C2×D3)⋊C4C2312yes—
135C2×(C2×D3)⋊C4C2314yes—
136C2×(C2×D3)⋊C4C2312yes—
137C2×(C2×D3)⋊C4C2314yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×(C2×D3)⋊C4C2312yes—
140C2×(C2×D3)⋊C4C2312yes—
141#926—28no—
142C2×C4⋊Dic3C2312yes—
143C2×C4⋊Dic3C2312yes—
144C2×C4⋊Dic3C2311yescharacteristic
145C2×C4⋊Dic3C2311yescharacteristic
146C2×C4⋊Dic3C2312yes—
147C2×C4⋊Dic3C2314yes—
148C2×C4⋊Dic3C2312yes—
149C2×C4⋊Dic3C2311yescharacteristic
150C2×C4⋊Dic3C2314yes—
151C2×C4⋊Dic3C2312yes—
152C2×Dic3⋊C4C2314yes—
153C2×Dic3⋊C4C2314yes—
154C2×Dic3⋊C4C2314yes—
155C2×Dic3⋊C4C2314yes—
156C2×C4×Dic3C2311yescharacteristic
157C2×C4×Dic3C2311yescharacteristic
158C2×C4×Dic3C2311yescharacteristic
159C2×C4×Dic3C2311yescharacteristic
160C2×C4×Dic3C2311yescharacteristic
161C2×C4×Dic3C2314yes—
162C2×C4×Dic3C2312yes—
163C2×C4×Dic3C2311yescharacteristic
164#898—216no—
165#897—216no—
166#893—28no—
167D3×C4⋊C4—44no—
168#888—28no—
169#888—44no—
170#888—44no—
171#885—216no—
172#883—216no—
173#883—48no—
174C4×D12—24no—
175C3×#95C2314yes—
176C3⋊#95C2312yes—
177C3⋊#95C2314yes—
178C3⋊#95C2312yes—
179C3⋊#95C2314yes—
180C3⋊#95C2314yes—
181C3⋊#95C2312yes—
182C3⋊#95C2312yes—
183C3⋊#95C2312yes—
184C3⋊#95C2312yes—
185C3⋊#95C2312yes—
186#542—616no—
187C2×C4⋊Q8—32no—
188C2×C4⋊Q8—32no—
189C2×C4⋊Q8—32no—
190C2×#126—34no—
191C2×#124—31no—
192C2×#124—34no—
193C2×#123—34no—
194C2×#123—34no—
195C2×C22⋊Q8—34no—
196C2×C22⋊Q8C2×D312yes—
197C2×#121—32no—
198C2×#121—32no—
199C2×C4×Q8—32no—
200C2×C4×Q8C2×D311yescharacteristic
201C2×C4×D4—32no—
202C2×C4×D4—31no—
203C2×C4×D4C2×D311yescharacteristic
204C2×#117—32no—
205C22×C4⋊C4—32no—
206#400—34no—
207#399—34no—
208#399—34no—
209#398—34no—
210#397—34no—
211#396C2×D314yes—
212#395—34no—
213#394—34no—
214#394—34no—
215#393—34no—
216#391—31no—
217#390—31no—
218#390—31no—
219#390—31no—
220#390C2×D312yes—
221#389—32no—
222#389—32no—
223#389—34no—
224#389—31no—
225#389—31no—
226#389C2×D312yes—
227#388—32no—
228#388—32no—
229#388—34no—
230#388—32no—
231#388—32no—
232#387—34no—
233#385—34no—
234#385—34no—
235#384—32no—
236#384—32no—
237#384—32no—
238#384—31no—
239#384—32no—
240#384C2×D311yescharacteristic
241#382—31no—
242#380—32no—
243#380—32no—
244#380—32no—
245#380C2×D312yes—
246C4×C4⋊C4—31no—
247C4×C4⋊C4—32no—
248C4×C22⋊C4—32no—
249C4×C22⋊C4—32no—
250C4×C22⋊C4—32no—
251C43—31no—
252C24×C3C2412yes—
253C23×D3C2412yes—
254C2×C3×Q8—22no—
255C2×C3×Q8—22no—
256C2×C3×Q8C2×D414yes—
257C2×C3×D4—22no—
258C2×C3×D4—22no—
259C2×C3×D4—22no—
260C22×C3×C4—24no—
261C22×C3×C4—24no—
262C22×C3×C4—24no—
263C22×C3×C4C2412yes—
264C22×C3×C4C2412yes—
265C22×C3×C4C2414yes—
266C22×C3×C4C2412yes—
267C22×C3×C4C2411yescharacteristic
268C22×C3×C4C2411yescharacteristic
269C22×C3×C4C2411yescharacteristic
270C2×#67—28no—
271C2×#67—44no—
272C2×#67—44no—
273C22×Dic3C2412yes—
274C22×Dic3C2412yes—
275C22×Dic3C2414yes—
276C22×Dic3C2412yes—
277C22×Dic3C2411yescharacteristic
278C22×Dic3C2411yescharacteristic
279C22×Dic3C2411yescharacteristic
280C22×Dic3C2411yescharacteristic
281C2×D12—22no—
282C2×D12—22no—
283C2×D12C2×D414yes—
284C2×C4×D3—24no—
285C2×C4×D3—24no—
286C2×C4×D3—24no—
287C2×C4×D3—28no—
288C2×C4×D3—44no—
289C2×C4×D3—44no—
290C2×Dic6—28no—
291C2×Dic6—44no—
292C2×Dic6—44no—
293C3×C4⋊C4—24no—
294C3×C4⋊C4—28no—
295C3×C4⋊C4—22no—
296C3×C4⋊C4—24no—
297C3×C4⋊C4—22no—
298C3×C4⋊C4—24no—
299C3×C4⋊C4—42no—
300C3×C22⋊C4—28no—
301C3×C22⋊C4—24no—
302C3×C22⋊C4—44no—
303C3×C42—24no—
304C3×C42#4114yes—
305#217—24no—
306#217—24no—
307#217—24no—
308#217—24no—
309#217—44no—
310(C2×D3)⋊C4—28no—
311(C2×D3)⋊C4—28no—
312(C2×D3)⋊C4—24no—
313(C2×D3)⋊C4—24no—
314(C2×D3)⋊C4—24no—
315(C2×D3)⋊C4C2×D418yes—
316(C2×D3)⋊C4C2×D418yes—
317C4⋊Dic3—28no—
318C4⋊Dic3—24no—
319C4⋊Dic3—22no—
320C4⋊Dic3—24no—
321C4⋊Dic3—22no—
322C4⋊Dic3—22no—
323C4⋊Dic3—24no—
324C4⋊Dic3—24no—
325C4⋊Dic3—44no—
326C4⋊Dic3—42no—
327Dic3⋊C4—28no—
328Dic3⋊C4—28no—
329Dic3⋊C4—44no—
330Dic3⋊C4—44no—
331C4×Dic3—28no—
332C4×Dic3—24no—
333C4×Dic3—22no—
334C4×Dic3—22no—
335C4×Dic3—22no—
336C4×Dic3—22no—
337C4×Dic3—22no—
338C4×Dic3C2×D414yes—
339C22×Q8—34no—
340C22×Q8C22×D311yescharacteristic
341C22×D4—34no—
342C22×D4—31no—
343C22×D4C22×D311yescharacteristic
344C23×C4—32no—
345C23×C4—34no—
346C23×C4C22×D312yes—
347C4⋊Q8—68no—
348C4⋊Q8—124no—
349C4⋊Q8—124no—
350#126—616no—
351#124—38no—
352#124—616no—
353#123—616no—
354#123—128no—
355C22⋊Q8—28no—
356C22⋊Q8—616no—
357#121—68no—
358#121—124no—
359C4×Q8—24no—
360C4×Q8—68no—
361C4×D4—24no—
362C4×D4—68no—
363C4×D4—64no—
364#117—68no—
365C2×C4⋊C4—31no—
366C2×C4⋊C4—32no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—31no—
369C2×C4⋊C4—32no—
370C2×C4⋊C4—34no—
371C2×C4⋊C4—32no—
372C2×C4⋊C4—34no—
373C2×C4⋊C4—34no—
374C2×C4⋊C4—31no—
375C2×C4⋊C4—34no—
376C2×C4⋊C4—34no—
377C2×C4⋊C4—34no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4—124no—
380C2×C4⋊C4C22×D312yes—
381C2×C4⋊C4C22×D312yes—
382C2×C4⋊C4C22×D311yescharacteristic
383C2×C4⋊C4C22×D311yescharacteristic
384C2×C4⋊C4C22×D312yes—
385C2×C4⋊C4C22×D314yes—
386C2×C4⋊C4C22×D312yes—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—32no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—32no—
392C2×C22⋊C4—32no—
393C2×C22⋊C4—34no—
394C2×C22⋊C4—32no—
395C2×C22⋊C4—34no—
396C2×C22⋊C4—32no—
397C2×C22⋊C4—32no—
398C2×C22⋊C4—34no—
399C2×C22⋊C4C22×D312yes—
400C2×C22⋊C4C22×D314yes—
401C2×C22⋊C4C22×D314yes—
402C2×C42—31no—
403C2×C42—32no—
404C2×C42—34no—
405C2×C42—31no—
406C2×C42—31no—
407C2×C42—31no—
408C2×C42—31no—
409C2×C42—31no—
410C2×C42C22×D312yes—
411C2×C42C22×D311yescharacteristic
412#95—32no—
413#95—32no—
414#95—32no—
415#95—32no—
416#95—32no—
417#95—32no—
418#95—32no—
419#95—34no—
420#95—34no—
421#95—34no—
422#95C22×D314yes—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—22no—
427C23×C3—22no—
428C23×C3—22no—
429C23×C3—22no—
430C23×C3C2511yescharacteristic
431C22×D3—22no—
432C22×D3—22no—
433C22×D3—22no—
434C22×D3—22no—
435C22×D3—22no—
436C22×D3—22no—
437C22×D3C22×D414yes—
438C3×Q8—28no—
439C3×D4—44no—
440C2×C3×C4—22no—
441C2×C3×C4—21no—
442C2×C3×C4—21no—
443C2×C3×C4—22no—
444C2×C3×C4—24no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—22no—
448C2×C3×C4—24no—
449C2×C3×C4—24no—
450C2×C3×C4—22no—
451C2×C3×C4—22no—
452C2×C3×C4—22no—
453C2×C3×C4—48no—
454C2×C3×C4C22×D414yes—
455C2×C3×C4C22×D412yes—
456C2×C3×C4C2×#4112yes—
457C2×C3×C4C2×#4112yes—
458C2×C3×C4C2×#4112yes—
459C2×C3×C4H(5,𝔽2)12yes—
460C2×C3×C42−1+412yes—
461C2×C3×C42−1+412yes—
462#67—88no—
463C2×Dic3—21no—
464C2×Dic3—21no—
465C2×Dic3—21no—
466C2×Dic3—21no—
467C2×Dic3—21no—
468C2×Dic3—21no—
469C2×Dic3—21no—
470C2×Dic3—21no—
471C2×Dic3—22no—
472C2×Dic3—24no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—24no—
476C2×Dic3—22no—
477C2×Dic3—22no—
478C2×Dic3—24no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3—22no—
483C2×Dic3C22×D412yes—
484C2×Dic3C22×D412yes—
485C2×Dic3H(5,𝔽2)12yes—
486C2×Dic32−1+412yes—
487D12—28no—
488C4×D3—48no—
489C4×D3—88no—
490Dic6—88no—
491C24—32no—
492C24C23×D312yes—
493C2×Q8—22no—
494C2×Q8—22no—
495C2×Q8—68no—
496C2×Q8—124no—
497C2×Q8—124no—
498C2×Q8D3×D414yes—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—34no—
503C2×D4—68no—
504C2×D4—62no—
505C2×D4—62no—
506C2×D4—124no—
507C2×D4—124no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—31no—
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—31no—
515C22×C4—32no—
516C22×C4—32no—
517C22×C4—32no—
518C22×C4—34no—
519C22×C4—68no—
520C22×C4—64no—
521C22×C4—64no—
522C22×C4—64no—
523C22×C4—124no—
524C22×C4—124no—
525C22×C4C23×D312yes—
526C22×C4C23×D312yes—
527C22×C4C23×D314yes—
528C22×C4C23×D312yes—
529C22×C4C23×D311yescharacteristic
530C22×C4C23×D311yescharacteristic
531C22×C4C23×D311yescharacteristic
532C4⋊C4—24no—
533C4⋊C4—28no—
534C4⋊C4—22no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—24no—
538C4⋊C4—42no—
539C4⋊C4—64no—
540C4⋊C4—64no—
541C4⋊C4—68no—
542C4⋊C4—68no—
543C4⋊C4—64no—
544C4⋊C4—68no—
545C4⋊C4—62no—
546C4⋊C4—62no—
547C4⋊C4—62no—
548C4⋊C4—64no—
549C4⋊C4—124no—
550C4⋊C4—124no—
551C4⋊C4—124no—
552C4⋊C4—122no—
553C22⋊C4—28no—
554C22⋊C4—24no—
555C22⋊C4—38no—
556C22⋊C4—38no—
557C22⋊C4—44no—
558C22⋊C4—64no—
559C22⋊C4—64no—
560C22⋊C4—68no—
561C22⋊C4—68no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C22⋊C4—64no—
565C22⋊C4—64no—
566C22⋊C4—64no—
567C22⋊C4—124no—
568C42—24no—
569C42—34no—
570C42—62no—
571C42—62no—
572C42—64no—
573C42—68no—
574C42—62no—
575C42—62no—
576C42—62no—
577C42#23714yes—
578C22×C3—42no—
579C22×C3—42no—
580C22×C3—42no—
581C22×C3—42no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3—42no—
585C22×C3C23×D411yescharacteristic
586C22×C3C22×#4111yescharacteristic
587C22×C3C2×H(5,𝔽2)11yescharacteristic
588C22×C3C2×H(5,𝔽2)11yescharacteristic
589C22×C3C2×2−1+411yescharacteristic
590C22×C3C2×2−1+411yescharacteristic
591C22×C3C2×2−1+411yescharacteristic
592C2×D3—24no—
593C2×D3—24no—
594C2×D3—24no—
595C2×D3—42no—
596C2×D3—42no—
597C2×D3—42no—
598C2×D3—42no—
599C3×C4—24no—
600C3×C4—22no—
601C3×C4—42no—
602C3×C4—44no—
603C3×C4—42no—
604C3×C4#54214yescomplemented
605C3×C4#54714yes—
606Dic3—22no—
607Dic3—22no—
608Dic3—22no—
609Dic3—22no—
610Dic3—42no—
611Dic3—44no—
612Dic3—42no—
613Dic3—42no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—34no—
622C23—62no—
623C23—62no—
624C23—62no—
625C23—62no—
626C23—62no—
627C23—62no—
628C23C24×D311yescharacteristic
629Q8—28no—
630Q8—248no—
631D4—44no—
632D4—68no—
633D4—248no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—32no—
648C2×C4—32no—
649C2×C4—32no—
650C2×C4—32no—
651C2×C4—48no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—64no—
663C2×C4—62no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—64no—
668C2×C4—62no—
669C2×C4—62no—
670C2×C4—64no—
671C2×C4—62no—
672C2×C4—128no—
673C2×C4—248no—
674C2×C4C2×D3×D414yes—
675C2×C4C2×D3×D412yes—
676C2×C4C2×#23712yes—
677C2×C4C2×#23712yes—
678C2×C4C2×#23712yes—
679C2×C4#100712yes—
680C2×C4#100912yes—
681C2×C4#101012yes—
682C2×C3—82no—
683C2×C3C2×#54211yescharacteristic
684C2×C3C2×#54711yescharacteristic
685C2×C3#349811yescharacteristic
686C2×C3#349911yescharacteristic
687C2×C3#351111yescharacteristic
688C2×C3#354411yescharacteristic
689C2×C3#355211yescharacteristic
690D3—44no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—64no—
699C22—64no—
700C22—64no—
701C22—122no—
702C22—122no—
703C22—122no—
704C22—122no—
705C22C22×D3×D411yescharacteristic
706C22C22×#23711yescharacteristic
707C22C2×#100711yescharacteristic
708C22C2×#100911yescharacteristic
709C22C2×#101011yescharacteristic
710C22D3×H(5,𝔽2)11yescharacteristic
711C22D3×2−1+411yescharacteristic
712C4—22no—
713C4—24no—
714C4—42no—
715C4—42no—
716C4—44no—
717C4—62no—
718C4—62no—
719C4—62no—
720C4—62no—
721C4—122no—
722C4—122no—
723C4—122no—
724C4—124no—
725C4#561114yes—
726C4#564314yescomplemented
727C3#3937711yescharacteristic, complemented, Sylow
728C2—82no—
729C2—124no—
730C2C2×#561111yescharacteristic
731C2C2×#564311yescharacteristic
732C2#8636811yescharacteristic
733C2#8674611yescharacteristic
734C2#8677011yescharacteristic
735C2#8695311yescharacteristic
736C2#8701011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2538C2
prime radical#82417C2
hypercenter#2538D3
hypocenterC3#39377
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2538

Complements

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

NH ≅ G/Ntype
1. C2×#5643C2semidirect
2. C3×#2538C2semidirect
3. #82754C2semidirect
4. Q8×C4⋊Dic3C2semidirect
5. C4×#947C2semidirect
7. #82319C2semidirect
8. #77441C2semidirect
9. #77427C2semidirect
10. #76451C2semidirect
11. #76335C2semidirect
12. #76237C2semidirect
13. #75999C2semidirect
14. #74360C2semidirect
15. #74356C2semidirect
16. #73954C2semidirect
17. #73893C2semidirect
90. #2538D3semidirect
130. #947D4semidirect
604. C3×C4#542semidirect
726. C4#5643semidirect
727. C3#39377semidirect

Maximal subgroups

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

subgroupindex
C2×#56432
C3×#25382
#827542
Q8×C4⋊Dic32
C4×#9472
#824172
#823192
#774412
#774272
#764512
#763352
#762372
#759992
#743602
#743562
#739542
#738932
#393773