Finite Group Databasebeta

← #11069124

Subgroups — #11069124

Order 768.

2148 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
1C2×#5603C212yesmaximal
2C3×C4×#121C211yesmaximal, characteristic
3#82382C212yesmaximal, complemented
4#82382C211yesmaximal, characteristic, complemented
5#82373C212yesmaximal, complemented
6D4×C4⋊Dic3C211yesmaximal, characteristic, complemented
7#82076C211yesmaximal, characteristic, complemented
8#82062C211yesmaximal, characteristic, complemented
9#76319C212yesmaximal, complemented
10#76009C212yesmaximal, complemented
11#75678C214yesmaximal, complemented
12#74825C214yesmaximal, complemented
13#73951C212yesmaximal, complemented
14#73715C211yesmaximal, characteristic, complemented
15#73650C211yesmaximal, characteristic, complemented
16#73512C212yesmaximal, complemented
17#73493C212yesmaximal, complemented
18#39350—31nomaximal, Sylow
19C2×C3×#121C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×C4×D4C2212yes—
22C22×C3×C42C2211yescharacteristic
23C2×#936C2212yes—
24C2×#936C2214yes—
25C2×#935C2214yes—
26C2×D4×Dic3C2212yes—
27C2×#926C2212yes—
28C22×C4⋊Dic3C2212yes—
29C2×#924C2212yes—
30#5603—216no—
31C2×#888C2212yes—
32C2×#887C2212yes—
33C2×#879C2214yes—
34C2×#878C2214yes—
35C2×#869C2211yescharacteristic
36C2×#869C2212yes—
37C3×#390C2211yescharacteristic
38C3×#389C2211yescharacteristic
39C3×#388C2212yes—
40C3×#386C2212yes—
41C3×#380C2211yescharacteristic
42C3×C4×C4⋊C4C2211yescharacteristic
43C3×C4×C22⋊C4C2212yes—
44#5212C2212yes—
45#5212C2212yes—
46#5212C2212yes—
47#5212C2212yes—
48#5212C2212yes—
49#5212C2211yescharacteristic
50#5212C2211yescharacteristic
51#5212C2212yes—
52#4984C2212yes—
53#4984C2212yes—
54#4981C2214yes—
55#4973C2212yes—
56#4973C2214yes—
57#4973C2212yes—
58#4953C2214yes—
59#4953C2214yes—
60#4953C2214yes—
61#4953C2214yes—
62#4953C2214yes—
63#4950C2214yes—
64#4950C2214yes—
65#4943C2214yes—
66#4936C2212yes—
67#4935C2211yescharacteristic
68#4935C2211yescharacteristic
69#4935C2211yescharacteristic
70C4×C4⋊Dic3C2212yes—
71C4×C4⋊Dic3C2212yes—
72C4×C4⋊Dic3C2211yescharacteristic
73C4×C4⋊Dic3C2211yescharacteristic
74#4929C2212yes—
75#4928C2212yes—
76#4928C2212yes—
77#4928C2212yes—
78#4928C2212yes—
79#4661C2214yes—
80#4659C2214yes—
81#4656C2214yes—
82#4656C2214yes—
83#4653C2214yes—
84#4653C2214yes—
85C2×#542—32no—
86#2857—31no—
87#2717—34no—
88#2698—34no—
89#2625—32no—
90#2551—31no—
91#2547—31no—
92#2547—32no—
93#2496—32no—
94#2486—32no—
95#2451—32no—
96#2447—32no—
97#2440—32no—
98#2365—31no—
99D4×C4⋊C4—31no—
100C4×#121D311yescharacteristic
101#2285—31no—
102C22×C3×D4C2311yescharacteristic
103C22×C3×D4C2312yes—
104C23×C3×C4C2311yescharacteristic
105C23×C3×C4C2312yes—
106C23×C3×C4C2311yescharacteristic
107C23×C3×C4C2311yescharacteristic
108C23×Dic3C2314yes—
109C22×Dic6C2312yes—
110C22×Dic6C2314yes—
111C3×#121D418yes—
112C3×C4×D4—24no—
113C3×C4×D4—44no—
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2312yes—
117C2×C3×C4⋊C4C2311yescharacteristic
118C2×C3×C22⋊C4C2312yes—
119C2×C3×C22⋊C4C2312yes—
120C2×C3×C22⋊C4C2312yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2312yes—
123C2×C3×C42—24no—
124C2×C3×C42C2312yes—
125C2×C3×C42C2311yescharacteristic
126C2×C3×C42C2311yescharacteristic
127C2×C3×C42C2311yescharacteristic
128C2×C3×C42C2311yescharacteristic
129C2×#217C2314yes—
130C2×#217C2314yes—
131C2×#217C2314yes—
132C2×#217C2314yes—
133C2×#217C2312yes—
134C2×#217C2312yes—
135#936—216no—
136#936—28no—
137#935—216no—
138D4×Dic3—28no—
139#926—28no—
140C2×C4⋊Dic3—44no—
141C2×C4⋊Dic3C2312yes—
142C2×C4⋊Dic3C2312yes—
143C2×C4⋊Dic3C2312yes—
144C2×C4⋊Dic3C2312yes—
145C2×C4⋊Dic3C2311yescharacteristic
146C2×C4⋊Dic3C2311yescharacteristic
147C2×C4⋊Dic3C2312yes—
148C2×C4⋊Dic3C2312yes—
149C2×C4⋊Dic3C2312yes—
150C2×C4⋊Dic3C2311yescharacteristic
151C2×C4⋊Dic3C2311yescharacteristic
152C2×C4⋊Dic3C2312yes—
153C2×C4⋊Dic3C2312yes—
154C2×C4⋊Dic3C2314yes—
155C2×C4⋊Dic3C2314yes—
156#924—28no—
157C2×Dic3⋊C4C2314yes—
158C2×Dic3⋊C4C2314yes—
159C2×Dic3⋊C4C2314yes—
160C2×C4×Dic3C2314yes—
161C2×C4×Dic3C2312yes—
162C2×C4×Dic3C2312yes—
163#888—28no—
164#887—28no—
165#879—216no—
166#878—216no—
167#869—24no—
168#869—44no—
169C3×#95C2312yes—
170C3×#95C2312yes—
171C3×#95C2312yes—
172C3⋊#95C2312yes—
173C3⋊#95C2314yes—
174C3⋊#95C2314yes—
175C3⋊#95C2314yes—
176C3⋊#95C2314yes—
177C3⋊#95C2314yes—
178C3⋊#95C2312yes—
179C3⋊#95C2314yes—
180C3⋊#95C2314yes—
181C3⋊#95C2314yes—
182C3⋊#95C2312yes—
183C3⋊#95C2312yes—
184#542—616no—
185C2×C4⋊Q8—32no—
186C2×C4⋊Q8—31no—
187C2×C4⋊Q8—32no—
188C2×#126—34no—
189C2×#124—32no—
190C2×#124—34no—
191C2×#123—34no—
192C2×C22⋊Q8—32no—
193C2×C22⋊Q8—34no—
194C2×#121C2×D311yescharacteristic
195C2×C4×Q8—32no—
196C2×C4×D4—32no—
197C2×C4×D4C2×D311yescharacteristic
198C2×C4×D4C2×D312yes—
199C2×#117—32no—
200C22×C4⋊C4—32no—
201C22×C42C2×D311yescharacteristic
202#400—34no—
203#398—34no—
204#398—34no—
205#397—34no—
206#397—34no—
207#397—34no—
208#397—34no—
209#397—34no—
210#395—34no—
211#395—34no—
212#391—32no—
213#391—32no—
214#391—34no—
215#391—32no—
216#390C2×D311yescharacteristic
217#389—32no—
218#389—32no—
219#389—32no—
220#389—32no—
221#389—32no—
222#389—32no—
223#389C2×D311yescharacteristic
224#388C2×D312yes—
225#387—34no—
226#387—34no—
227#386C2×D312yes—
228#385—34no—
229#385—34no—
230#384—31no—
231#384—31no—
232#384—31no—
233#382—32no—
234#381—34no—
235#380—32no—
236#380—32no—
237#380—32no—
238#380—32no—
239#380—32no—
240#380—31no—
241#380—32no—
242#380—31no—
243#380C2×D311yescharacteristic
244C4×C4⋊C4—31no—
245C4×C4⋊C4—32no—
246C4×C4⋊C4—32no—
247C4×C4⋊C4—31no—
248C4×C4⋊C4C2×D311yescharacteristic
249C4×C22⋊C4C2×D312yes—
250C24×C3C2411yescharacteristic
251C24×C3C2412yes—
252C2×C3×D4—22no—
253C2×C3×D4—22no—
254C2×C3×D4—42no—
255C2×C3×D4—42no—
256C2×C3×D4C2×D414yes—
257C2×C3×D4C2×D418yes—
258C22×C3×C4—22no—
259C22×C3×C4—22no—
260C22×C3×C4—22no—
261C22×C3×C4—22no—
262C22×C3×C4—24no—
263C22×C3×C4—24no—
264C22×C3×C4—22no—
265C22×C3×C4—22no—
266C22×C3×C4—22no—
267C22×C3×C4—24no—
268C22×C3×C4—41no—
269C22×C3×C4C2×D414yes—
270C22×C3×C4C2411yescharacteristic
271C22×C3×C4C2412yes—
272C22×C3×C4C2412yes—
273C22×C3×C4C2412yes—
274C22×C3×C4C2411yescharacteristic
275C22×C3×C4C2411yescharacteristic
276C22×C3×C4C2411yescharacteristic
277C22×C3×C4C2411yescharacteristic
278C22×C3×C4C2411yescharacteristic
279C22×Dic3—28no—
280C22×Dic3—44no—
281C22×Dic3—44no—
282C22×Dic3C2412yes—
283C22×Dic3C2412yes—
284C22×Dic3C2414yes—
285C22×Dic3C2412yes—
286C22×Dic3C2412yes—
287C22×Dic3C2414yes—
288C2×Dic6—24no—
289C2×Dic6—24no—
290C2×Dic6—24no—
291C2×Dic6—28no—
292C2×Dic6—44no—
293C2×Dic6—44no—
294C3×C4⋊C4—22no—
295C3×C4⋊C4—22no—
296C3×C4⋊C4—42no—
297C3×C4⋊C4C2×D414yes—
298C3×C22⋊C4—24no—
299C3×C22⋊C4—24no—
300C3×C22⋊C4—42no—
301C3×C22⋊C4—42no—
302C3×C22⋊C4C2×D418yes—
303C3×C42—22no—
304C3×C42—22no—
305C3×C42—22no—
306C3×C42—24no—
307C3×C42#4114yes—
308#217—28no—
309#217—28no—
310#217—28no—
311#217—28no—
312#217—24no—
313#217—24no—
314C4⋊Dic3—24no—
315C4⋊Dic3—24no—
316C4⋊Dic3—24no—
317C4⋊Dic3—24no—
318C4⋊Dic3—24no—
319C4⋊Dic3—22no—
320C4⋊Dic3—24no—
321C4⋊Dic3—22no—
322C4⋊Dic3—24no—
323C4⋊Dic3—22no—
324C4⋊Dic3—22no—
325C4⋊Dic3—44no—
326C4⋊Dic3—44no—
327C4⋊Dic3—42no—
328C4⋊Dic3—42no—
329Dic3⋊C4—28no—
330Dic3⋊C4—28no—
331Dic3⋊C4—28no—
332C4×Dic3—28no—
333C4×Dic3—24no—
334C4×Dic3—24no—
335C22×Q8—32no—
336C22×Q8—34no—
337C22×D4C22×D311yescharacteristic
338C22×D4C22×D312yes—
339C23×C4—34no—
340C23×C4C22×D312yes—
341C23×C4C22×D311yescharacteristic
342C23×C4C22×D311yescharacteristic
343C23×C4C22×D311yescharacteristic
344C4⋊Q8—68no—
345C4⋊Q8—64no—
346C4⋊Q8—124no—
347#126—616no—
348#124—68no—
349#124—616no—
350#123—616no—
351C22⋊Q8—68no—
352C22⋊Q8—616no—
353#121D1218yes—
354C4×Q8—68no—
355C4×D4—24no—
356C4×D4—44no—
357C4×D4—68no—
358#117—68no—
359C2×C4⋊C4—31no—
360C2×C4⋊C4—32no—
361C2×C4⋊C4—32no—
362C2×C4⋊C4—32no—
363C2×C4⋊C4—32no—
364C2×C4⋊C4—34no—
365C2×C4⋊C4—34no—
366C2×C4⋊C4—34no—
367C2×C4⋊C4—31no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—32no—
370C2×C4⋊C4—31no—
371C2×C4⋊C4—31no—
372C2×C4⋊C4—32no—
373C2×C4⋊C4—34no—
374C2×C4⋊C4—34no—
375C2×C4⋊C4—32no—
376C2×C4⋊C4—32no—
377C2×C4⋊C4—124no—
378C2×C4⋊C4C22×D311yescharacteristic
379C2×C4⋊C4C22×D311yescharacteristic
380C2×C4⋊C4C22×D312yes—
381C2×C4⋊C4C22×D311yescharacteristic
382C2×C22⋊C4—32no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4—34no—
385C2×C22⋊C4—34no—
386C2×C22⋊C4—34no—
387C2×C22⋊C4—34no—
388C2×C22⋊C4C22×D312yes—
389C2×C22⋊C4C22×D312yes—
390C2×C22⋊C4C22×D312yes—
391C2×C22⋊C4C22×D312yes—
392C2×C22⋊C4C22×D312yes—
393C2×C42—24no—
394C2×C42—32no—
395C2×C42—32no—
396C2×C42—34no—
397C2×C42C22×D312yes—
398C2×C42C22×D311yescharacteristic
399C2×C42C22×D311yescharacteristic
400C2×C42C22×D311yescharacteristic
401C2×C42C22×D311yescharacteristic
402#95—32no—
403#95—32no—
404#95—32no—
405#95—32no—
406#95—34no—
407#95—34no—
408#95—34no—
409#95—34no—
410#95—34no—
411#95—34no—
412#95—34no—
413#95—34no—
414#95C22×D312yes—
415#95C22×D312yes—
416#95C22×D312yes—
417C23×C3—22no—
418C23×C3—21no—
419C23×C3—21no—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—21no—
423C23×C3—21no—
424C23×C3—22no—
425C23×C3—21no—
426C23×C3—22no—
427C23×C3—22no—
428C23×C3—21no—
429C23×C3C22×D412yes—
430C23×C3C22×D414yes—
431C23×C3C2511yescharacteristic
432C3×D4—28no—
433C3×D4—48no—
434C2×C3×C4—21no—
435C2×C3×C4—21no—
436C2×C3×C4—22no—
437C2×C3×C4—21no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—22no—
442C2×C3×C4—28no—
443C2×C3×C4—21no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—21no—
448C2×C3×C4—22no—
449C2×C3×C4—22no—
450C2×C3×C4—21no—
451C2×C3×C4—22no—
452C2×C3×C4—44no—
453C2×C3×C4—44no—
454C2×C3×C4—48no—
455C2×C3×C4C22×D414yes—
456C2×C3×C4C22×D412yes—
457C2×C3×C4C22×D412yes—
458C2×C3×C4C2×#4112yes—
459C2×C3×C4C2×#4112yes—
460C2×C3×C4C2×#4112yes—
461C2×C3×C4H(5,𝔽2)12yes—
462C2×C3×C42−1+412yes—
463C2×C3×C42−1+412yes—
464C2×C3×C42−1+412yes—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—24no—
469C2×Dic3—22no—
470C2×Dic3—24no—
471C2×Dic3—24no—
472C2×Dic3—22no—
473C2×Dic3—24no—
474C2×Dic3—22no—
475C2×Dic3—22no—
476C2×Dic3—22no—
477C2×Dic3—22no—
478C2×Dic3—22no—
479C2×Dic3—24no—
480C2×Dic3—22no—
481C2×Dic3—24no—
482C2×Dic3—22no—
483C2×Dic3—88no—
484Dic6—48no—
485Dic6—88no—
486C24C23×D311yescharacteristic
487C24C23×D312yes—
488C2×Q8—64no—
489C2×Q8—68no—
490C2×Q8—64no—
491C2×Q8—64no—
492C2×Q8—124no—
493C2×Q8—124no—
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4C2×D1214yes—
499C2×D4C2×D1218yes—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—22no—
510C22×C4—32no—
511C22×C4—32no—
512C22×C4—34no—
513C22×C4—32no—
514C22×C4—32no—
515C22×C4—34no—
516C22×C4—41no—
517C22×C4—68no—
518C22×C4—124no—
519C22×C4—124no—
520C22×C4C2×D1214yes—
521C22×C4C23×D311yescharacteristic
522C22×C4C23×D312yes—
523C22×C4C23×D312yes—
524C22×C4C23×D312yes—
525C22×C4C23×D311yescharacteristic
526C22×C4C23×D311yescharacteristic
527C22×C4C23×D311yescharacteristic
528C22×C4C23×D311yescharacteristic
529C22×C4C23×D311yescharacteristic
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—42no—
533C4⋊C4—64no—
534C4⋊C4—64no—
535C4⋊C4—64no—
536C4⋊C4—68no—
537C4⋊C4—68no—
538C4⋊C4—68no—
539C4⋊C4—64no—
540C4⋊C4—64no—
541C4⋊C4—62no—
542C4⋊C4—64no—
543C4⋊C4—62no—
544C4⋊C4—64no—
545C4⋊C4—62no—
546C4⋊C4—62no—
547C4⋊C4—124no—
548C4⋊C4—124no—
549C4⋊C4—122no—
550C4⋊C4—122no—
551C4⋊C4C2×D1214yes—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—64no—
557C22⋊C4—64no—
558C22⋊C4—68no—
559C22⋊C4—68no—
560C22⋊C4—68no—
561C22⋊C4—68no—
562C22⋊C4C2×D1218yes—
563C42—22no—
564C42—22no—
565C42—22no—
566C42—24no—
567C42—64no—
568C42—64no—
569C42—68no—
570C42#23714yes—
571C22×C3—22no—
572C22×C3—24no—
573C22×C3—24no—
574C22×C3—22no—
575C22×C3—24no—
576C22×C3—22no—
577C22×C3—42no—
578C22×C3—41no—
579C22×C3—41no—
580C22×C3—42no—
581C22×C3—41no—
582C22×C3—42no—
583C22×C3—41no—
584C22×C3—42no—
585C22×C3C23×D411yescharacteristic
586C22×C3C22×#4111yescharacteristic
587C22×C3C2×H(5,𝔽2)11yescharacteristic
588C22×C3C2×2−1+411yescharacteristic
589C22×C3C2×2−1+411yescharacteristic
590C22×C3C2×2−1+411yescharacteristic
591C22×C3#58511yescharacteristic
592C3×C4—22no—
593C3×C4—22no—
594C3×C4—22no—
595C3×C4—24no—
596C3×C4—41no—
597C3×C4—42no—
598C3×C4—42no—
599C3×C4#54214yescomplemented
600C3×C4#54714yes—
601Dic3—44no—
602Dic3—42no—
603Dic3—44no—
604Dic3—42no—
605Dic3—42no—
606Dic3—42no—
607C23—22no—
608C23—21no—
609C23—21no—
610C23—22no—
611C23—22no—
612C23—21no—
613C23—21no—
614C23—22no—
615C23—21no—
616C23—22no—
617C23—21no—
618C23—22no—
619C23C22×D1212yes—
620C23C22×D1214yes—
621C23C24×D311yescharacteristic
622Q8—128no—
623Q8—248no—
624D4—28no—
625D4—48no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—28no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—48no—
647C2×C4—62no—
648C2×C4—62no—
649C2×C4—64no—
650C2×C4—62no—
651C2×C4—62no—
652C2×C4—64no—
653C2×C4—64no—
654C2×C4—62no—
655C2×C4—64no—
656C2×C4—62no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—64no—
662C2×C4—62no—
663C2×C4—64no—
664C2×C4—62no—
665C2×C4—248no—
666C2×C4C22×D1214yes—
667C2×C4C22×D1212yes—
668C2×C4C22×D1212yes—
669C2×C4C2×#23712yes—
670C2×C4C2×#23712yes—
671C2×C4C2×#23712yes—
672C2×C4#100412yes—
673C2×C4#101012yes—
674C2×C4#101012yes—
675C2×C4#101012yes—
676C2×C3—42no—
677C2×C3—44no—
678C2×C3C2×#54211yescharacteristic
679C2×C3C2×#54711yescharacteristic
680C2×C3#349511yescharacteristic
681C2×C3#349611yescharacteristic
682C2×C3#349911yescharacteristic
683C2×C3#355011yescharacteristic
684C2×C3#355511yescharacteristic
685C22—24no—
686C22—22no—
687C22—24no—
688C22—22no—
689C22—22no—
690C22—24no—
691C22—41no—
692C22—42no—
693C22—41no—
694C22—42no—
695C22—42no—
696C22—41no—
697C22—41no—
698C22—42no—
699C22C23×D1211yescharacteristic
700C22C22×#23711yescharacteristic
701C22C2×#100411yescharacteristic
702C22C2×#101011yescharacteristic
703C22C2×#101011yescharacteristic
704C22C2×#101011yescharacteristic
705C22#596411yescharacteristic
706C4—22no—
707C4—22no—
708C4—24no—
709C4—22no—
710C4—41no—
711C4—42no—
712C4—42no—
713C4—122no—
714C4—124no—
715C4—122no—
716C4—122no—
717C4—122no—
718C4—124no—
719C4#555514yes—
720C4#560314yescomplemented
721C3#3935011yescharacteristic, complemented, Sylow
722C2—44no—
723C2—42no—
724C2C2×#555511yescharacteristic
725C2#8578611yescharacteristic
726C2#8582711yescharacteristic
727C2C2×#560311yescharacteristic
728C2#8602811yescharacteristic
729C2#8613811yescharacteristic
730C2#8623111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×C4×#121C2
prime radicalC2×C3×#121C22
hypercenterC4×#121D3
hypocenterC3#39350
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
3. #82382C2semidirect
4. #82382C2semidirect
5. #82373C2semidirect
6. D4×C4⋊Dic3C2semidirect
7. #82076C2semidirect
8. #82062C2semidirect
9. #76319C2semidirect
10. #76009C2semidirect
11. #75678C2semidirect
12. #74825C2semidirect
13. #73951C2semidirect
14. #73715C2semidirect
15. #73650C2semidirect
16. #73512C2semidirect
17. #73493C2semidirect
599. C3×C4#542semidirect
720. C4#5603semidirect
721. C3#39350semidirect

Maximal subgroups

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

subgroupindex
C2×#56032
C3×C4×#1212
#823822
#823732
D4×C4⋊Dic32
#820762
#820622
#763192
#760092
#756782
#748252
#739512
#737152
#736502
#735122
#734932
#393503