Finite Group Databasebeta

← #11069149

Subgroups — #11069149

Order 768.

2276 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5603C212yesmaximal, complemented
2C3×#2856C211yesmaximal, characteristic
3#83179C211yesmaximal, characteristic, complemented
4#83173C211yesmaximal, characteristic, complemented
5#82682C214yesmaximal, complemented
6#82678C212yesmaximal, complemented
7#82662C212yesmaximal, complemented
8#82644C212yesmaximal, complemented
9C4×#924C211yesmaximal, characteristic, complemented
10#82062C211yesmaximal, characteristic, complemented
11#76397C214yesmaximal, complemented
12#76349C212yesmaximal, complemented
13#76337C212yesmaximal, complemented
14#76323C212yesmaximal, complemented
15#76321C212yesmaximal, complemented
16#74335C211yesmaximal, characteristic, complemented
17#74323C211yesmaximal, characteristic, complemented
18#39351—31nomaximal, Sylow
19C2×C3×#127C2211yescharacteristic
20C2×C3×#121C2212yes—
21C2×C3×#121C2212yes—
22C2×C3×#121C2212yes—
23C22×C3×C42C2211yescharacteristic
24C2×#936C2212yes—
25C2×#936C2214yes—
26C2×#935C2214yes—
27C2×D4×Dic3C2212yes—
28C2×D4×Dic3C2212yes—
29C2×#926C2212yes—
30C2×#924C2211yescharacteristic
31#5603—216no—
32C2×#888C2212yes—
33C2×#888C2212yes—
34C2×#887C2212yes—
35C2×#879C2214yes—
36C2×#878C2214yes—
37C2×#878C2214yes—
38C2×C4×Dic6C2211yescharacteristic
39C3×#390C2212yes—
40C3×#390C2212yes—
41C3×#390C2212yes—
42C3×#384C2211yescharacteristic
43#5222C2214yes—
44#5222C2214yes—
45#5222C2214yes—
46#5221C2212yes—
47#5221C2212yes—
48#5221C2212yes—
49#5221C2212yes—
50#5221C2212yes—
51#5220C2214yes—
52#5212C2211yescharacteristic
53#5212C2211yescharacteristic
54#5212C2212yes—
55#5212C2211yescharacteristic
56#5210C2212yes—
57C4×#217C2212yes—
58#4979C2214yes—
59#4976C2214yes—
60#4975C2212yes—
61Dic3×C4⋊C4C2212yes—
62#4972C2212yes—
63#4972C2212yes—
64#4972C2212yes—
65#4953C2214yes—
66#4952C2214yes—
67#4951C2214yes—
68#4949C2214yes—
69#4949C2214yes—
70#4948C2214yes—
71#4947C2214yes—
72#4946C2214yes—
73#4945C2214yes—
74#4936C2212yes—
75#4935C2211yescharacteristic
76#4935C2211yescharacteristic
77C4×C4⋊Dic3C2212yes—
78C4×C4⋊Dic3C2211yescharacteristic
79C4×C4⋊Dic3C2211yescharacteristic
80C4×C4⋊Dic3C2211yescharacteristic
81#4933C2212yes—
82C4×Dic3⋊C4C2212yes—
83#4929C2211yescharacteristic
84#4928C2211yescharacteristic
85C2×#542—32no—
86#2856D311yescharacteristic
87#2723—34no—
88#2672—34no—
89#2624—32no—
90#2551—31no—
91#2548—31no—
92#2542—32no—
93#2512—32no—
94#2491—32no—
95#2452—32no—
96#2448—32no—
97#2422—32no—
98#2366—31no—
99Q8×C4⋊C4—31no—
100C4×C22⋊Q8—31no—
101#2285—31no—
102C22×C3×D4C2312yes—
103C22×C3×D4C2312yes—
104C22×C3×D4C2312yes—
105C22×C3×D4C2314yes—
106C23×C3×C4C2311yescharacteristic
107C23×C3×C4C2311yescharacteristic
108C23×C3×C4C2311yescharacteristic
109C23×Dic3C2314yes—
110C22×Dic6C2311yescharacteristic
111C22×Dic6C2314yes—
112C3×#127—24no—
113C3×#121—28no—
114C3×#121—44no—
115C3×#121—44no—
116C2×C3×C4⋊C4C2312yes—
117C2×C3×C4⋊C4C2312yes—
118C2×C3×C4⋊C4C2312yes—
119C2×C3×C22⋊C4C2314yes—
120C2×C3×C22⋊C4C2314yes—
121C2×C3×C22⋊C4C2314yes—
122C2×C3×C42—24no—
123C2×C3×C42C2311yescharacteristic
124C2×C3×C42C2311yescharacteristic
125C2×C3×C42C2311yescharacteristic
126C2×C3×C42C2311yescharacteristic
127C2×#217C2314yes—
128C2×#217C2314yes—
129C2×#217C2314yes—
130C2×#217C2312yes—
131C2×#217C2312yes—
132C2×#217C2314yes—
133C2×#217C2314yes—
134C2×#217C2314yes—
135C2×#217C2314yes—
136C2×#217C2312yes—
137C2×#217C2312yes—
138#936—28no—
139#936—216no—
140#935—216no—
141D4×Dic3—28no—
142D4×Dic3—44no—
143#926—28no—
144C2×C4⋊Dic3C2311yescharacteristic
145C2×C4⋊Dic3C2311yescharacteristic
146C2×C4⋊Dic3C2312yes—
147C2×C4⋊Dic3C2311yescharacteristic
148C2×C4⋊Dic3C2311yescharacteristic
149C2×C4⋊Dic3C2311yescharacteristic
150C2×C4⋊Dic3C2311yescharacteristic
151C2×C4⋊Dic3C2312yes—
152C2×C4⋊Dic3C2312yes—
153C2×C4⋊Dic3C2312yes—
154C2×C4⋊Dic3C2311yescharacteristic
155#924D418yescomplemented
156C2×Dic3⋊C4C2312yes—
157C2×Dic3⋊C4C2312yes—
158C2×Dic3⋊C4C2314yes—
159C2×Dic3⋊C4C2314yes—
160C2×Dic3⋊C4C2314yes—
161C2×Dic3⋊C4C2314yes—
162C2×Dic3⋊C4C2312yes—
163C2×C4×Dic3C2312yes—
164C2×C4×Dic3C2312yes—
165C2×C4×Dic3C2312yes—
166C2×C4×Dic3C2312yes—
167C2×C4×Dic3C2314yes—
168#888—28no—
169#888—44no—
170#887—28no—
171#879—216no—
172#878—216no—
173#878—48no—
174C4×Dic6—24no—
175C3⋊#95C2312yes—
176C3⋊#95C2312yes—
177C3⋊#95C2312yes—
178C3⋊#95C2312yes—
179C3⋊#95C2312yes—
180C3⋊#95C2312yes—
181C3⋊#95C2312yes—
182C3⋊#95C2312yes—
183C3⋊#95C2312yes—
184C3⋊#95C2314yes—
185C3⋊#95C2314yes—
186#542—616no—
187C2×C4⋊Q8—32no—
188C2×C4⋊Q8—32no—
189C2×#127C2×D311yescharacteristic
190C2×#126—34no—
191C2×#124—34no—
192C2×#124—32no—
193C2×#123—34no—
194C2×C22⋊Q8—31no—
195C2×C22⋊Q8—34no—
196C2×C22⋊Q8—34no—
197C2×#121C2×D312yes—
198C2×#121C2×D312yes—
199C2×#121C2×D312yes—
200C2×C4×Q8—32no—
201C2×C4×Q8—31no—
202C2×C4×D4—32no—
203C2×C4×D4—32no—
204C2×#117—32no—
205C22×C42C2×D311yescharacteristic
206#399—34no—
207#399—34no—
208#397—34no—
209#397—34no—
210#396—34no—
211#395—34no—
212#394—34no—
213#394—34no—
214#394—34no—
215#393—34no—
216#391—31no—
217#390—32no—
218#390—32no—
219#390—32no—
220#390—32no—
221#390—32no—
222#390C2×D312yes—
223#390C2×D312yes—
224#390C2×D312yes—
225#389—32no—
226#389—34no—
227#389—32no—
228#389—32no—
229#389—31no—
230#388—34no—
231#388—34no—
232#387—32no—
233#386—34no—
234#385—32no—
235#385—34no—
236#384—32no—
237#384—31no—
238#384—31no—
239#384C2×D311yescharacteristic
240#382—32no—
241#380—31no—
242#380—32no—
243#380—31no—
244#380—31no—
245C4×C4⋊C4—32no—
246C4×C4⋊C4—31no—
247C4×C4⋊C4—31no—
248C4×C4⋊C4—32no—
249C4×C4⋊C4—32no—
250C4×C4⋊C4—31no—
251C4×C22⋊C4—32no—
252C24×C3C2414yes—
253C24×C3C2411yescharacteristic
254C2×C3×D4—28no—
255C2×C3×D4—24no—
256C2×C3×D4—24no—
257C2×C3×D4—24no—
258C2×C3×D4—24no—
259C2×C3×D4—24no—
260C2×C3×D4—24no—
261C2×C3×D4—24no—
262C2×C3×D4—42no—
263C2×C3×D4—44no—
264C2×C3×D4—44no—
265C2×C3×D4—42no—
266C22×C3×C4—22no—
267C22×C3×C4—22no—
268C22×C3×C4—22no—
269C22×C3×C4—22no—
270C22×C3×C4—22no—
271C22×C3×C4—22no—
272C22×C3×C4—22no—
273C22×C3×C4—41no—
274C22×C3×C4C2×D414yes—
275C22×C3×C4C2411yescharacteristic
276C22×C3×C4C2414yes—
277C22×C3×C4C2411yescharacteristic
278C22×C3×C4C2411yescharacteristic
279C22×C3×C4C2411yescharacteristic
280C22×C3×C4C2411yescharacteristic
281C22×C3×C4C2411yescharacteristic
282C22×Dic3—28no—
283C22×Dic3—44no—
284C22×Dic3—44no—
285C22×Dic3C2412yes—
286C22×Dic3C2412yes—
287C22×Dic3C2412yes—
288C22×Dic3C2412yes—
289C22×Dic3C2412yes—
290C22×Dic3C2412yes—
291C22×Dic3C2412yes—
292C22×Dic3C2412yes—
293C2×Dic6—22no—
294C2×Dic6—22no—
295C2×Dic6—28no—
296C2×Dic6—44no—
297C2×Dic6—44no—
298C2×Dic6C2×D414yes—
299C3×C4⋊C4—24no—
300C3×C4⋊C4—24no—
301C3×C4⋊C4—42no—
302C3×C22⋊C4—28no—
303C3×C22⋊C4—28no—
304C3×C22⋊C4—44no—
305C3×C42—22no—
306C3×C42—22no—
307C3×C42—22no—
308C3×C42#4114yes—
309#217—24no—
310#217—24no—
311#217—28no—
312#217—28no—
313#217—28no—
314#217—44no—
315#217—44no—
316#217—44no—
317#217—44no—
318#217—42no—
319#217C2×D418yes—
320C4⋊Dic3—24no—
321C4⋊Dic3—24no—
322C4⋊Dic3—22no—
323C4⋊Dic3—24no—
324C4⋊Dic3—22no—
325C4⋊Dic3—22no—
326C4⋊Dic3—22no—
327C4⋊Dic3—22no—
328C4⋊Dic3—22no—
329C4⋊Dic3—42no—
330C4⋊Dic3C2×D414yes—
331Dic3⋊C4—24no—
332Dic3⋊C4—24no—
333Dic3⋊C4—28no—
334Dic3⋊C4—28no—
335Dic3⋊C4—44no—
336Dic3⋊C4—44no—
337Dic3⋊C4C2×D418yes—
338C4×Dic3—24no—
339C4×Dic3—24no—
340C4×Dic3—24no—
341C4×Dic3—24no—
342C4×Dic3—28no—
343C22×Q8—31no—
344C22×Q8—34no—
345C22×D4C22×D312yes—
346C22×D4C22×D312yes—
347C22×D4C22×D314yes—
348C22×D4C22×D312yes—
349C23×C4—34no—
350C23×C4C22×D311yescharacteristic
351C23×C4C22×D311yescharacteristic
352C23×C4C22×D311yescharacteristic
353C4⋊Q8—68no—
354C4⋊Q8—124no—
355#127—24no—
356#126—616no—
357#124—616no—
358#124—68no—
359#123—616no—
360C22⋊Q8—38no—
361C22⋊Q8—616no—
362C22⋊Q8—128no—
363#121—28no—
364#121—44no—
365#121—44no—
366C4×Q8—68no—
367C4×Q8—64no—
368C4×D4—68no—
369C4×D4—124no—
370#117—68no—
371C2×C4⋊C4—31no—
372C2×C4⋊C4—32no—
373C2×C4⋊C4—32no—
374C2×C4⋊C4—32no—
375C2×C4⋊C4—31no—
376C2×C4⋊C4—34no—
377C2×C4⋊C4—31no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4—32no—
380C2×C4⋊C4—32no—
381C2×C4⋊C4—34no—
382C2×C4⋊C4—31no—
383C2×C4⋊C4—31no—
384C2×C4⋊C4—31no—
385C2×C4⋊C4—31no—
386C2×C4⋊C4—34no—
387C2×C4⋊C4—34no—
388C2×C4⋊C4—32no—
389C2×C4⋊C4C22×D312yes—
390C2×C4⋊C4C22×D312yes—
391C2×C4⋊C4C22×D312yes—
392C2×C22⋊C4—32no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—32no—
395C2×C22⋊C4—34no—
396C2×C22⋊C4—34no—
397C2×C22⋊C4—34no—
398C2×C22⋊C4—34no—
399C2×C22⋊C4—34no—
400C2×C22⋊C4—32no—
401C2×C22⋊C4—34no—
402C2×C22⋊C4—34no—
403C2×C22⋊C4C22×D314yes—
404C2×C22⋊C4C22×D314yes—
405C2×C22⋊C4C22×D314yes—
406C2×C42—24no—
407C2×C42—32no—
408C2×C42—32no—
409C2×C42—32no—
410C2×C42—34no—
411C2×C42—32no—
412C2×C42C22×D311yescharacteristic
413C2×C42C22×D311yescharacteristic
414C2×C42C22×D311yescharacteristic
415C2×C42C22×D311yescharacteristic
416#95—32no—
417#95—32no—
418#95—32no—
419#95—32no—
420#95—32no—
421#95—32no—
422#95—32no—
423#95—32no—
424#95—32no—
425#95—34no—
426#95—34no—
427C23×C3—21no—
428C23×C3—21no—
429C23×C3—21no—
430C23×C3—21no—
431C23×C3—21no—
432C23×C3—21no—
433C23×C3—24no—
434C23×C3—24no—
435C23×C3—24no—
436C23×C3—24no—
437C23×C3—24no—
438C23×C3—24no—
439C23×C3—24no—
440C23×C3C22×D412yes—
441C23×C3C2511yescharacteristic
442C3×D4—48no—
443C3×D4—48no—
444C3×D4—84no—
445C3×D4—88no—
446C2×C3×C4—21no—
447C2×C3×C4—21no—
448C2×C3×C4—21no—
449C2×C3×C4—21no—
450C2×C3×C4—21no—
451C2×C3×C4—21no—
452C2×C3×C4—28no—
453C2×C3×C4—24no—
454C2×C3×C4—21no—
455C2×C3×C4—24no—
456C2×C3×C4—24no—
457C2×C3×C4—21no—
458C2×C3×C4—21no—
459C2×C3×C4—44no—
460C2×C3×C4—44no—
461C2×C3×C4C22×D412yes—
462C2×C3×C4C22×D412yes—
463C2×C3×C4C2×#4112yes—
464C2×C3×C4C2×#4112yes—
465C2×C3×C4C2×#4112yes—
466C2×C3×C4H(5,𝔽2)12yes—
467C2×C3×C4H(5,𝔽2)12yes—
468C2×C3×C42−1+412yes—
469C2×C3×C42−1+412yes—
470C2×Dic3—22no—
471C2×Dic3—22no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—22no—
476C2×Dic3—22no—
477C2×Dic3—22no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3—22no—
483C2×Dic3—22no—
484C2×Dic3—22no—
485C2×Dic3—22no—
486C2×Dic3—22no—
487C2×Dic3—22no—
488C2×Dic3—22no—
489C2×Dic3—22no—
490C2×Dic3—22no—
491C2×Dic3—22no—
492C2×Dic3—88no—
493C2×Dic3C22×D414yes—
494C2×Dic3C22×D414yes—
495Dic6—28no—
496Dic6—88no—
497C24C23×D314yes—
498C24C23×D311yescharacteristic
499C2×Q8—34no—
500C2×Q8—68no—
501C2×Q8—62no—
502C2×Q8—62no—
503C2×Q8—124no—
504C2×Q8—124no—
505C2×D4—28no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—24no—
510C2×D4—24no—
511C2×D4—24no—
512C2×D4—24no—
513C2×D4—42no—
514C2×D4—44no—
515C2×D4—44no—
516C2×D4—42no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—32no—
525C22×C4—32no—
526C22×C4—32no—
527C22×C4—32no—
528C22×C4—32no—
529C22×C4—32no—
530C22×C4—32no—
531C22×C4—32no—
532C22×C4—41no—
533C22×C4—68no—
534C22×C4—124no—
535C22×C4—124no—
536C22×C4D3×D414yes—
537C22×C4C23×D311yescharacteristic
538C22×C4C23×D314yes—
539C22×C4C23×D311yescharacteristic
540C22×C4C23×D311yescharacteristic
541C22×C4C23×D311yescharacteristic
542C22×C4C23×D311yescharacteristic
543C22×C4C23×D311yescharacteristic
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—34no—
547C4⋊C4—38no—
548C4⋊C4—42no—
549C4⋊C4—68no—
550C4⋊C4—68no—
551C4⋊C4—64no—
552C4⋊C4—64no—
553C4⋊C4—64no—
554C4⋊C4—62no—
555C4⋊C4—62no—
556C4⋊C4—64no—
557C4⋊C4—64no—
558C4⋊C4—62no—
559C4⋊C4—62no—
560C4⋊C4—62no—
561C4⋊C4—62no—
562C4⋊C4—124no—
563C4⋊C4—124no—
564C4⋊C4—122no—
565C22⋊C4—28no—
566C22⋊C4—28no—
567C22⋊C4—38no—
568C22⋊C4—44no—
569C22⋊C4—68no—
570C22⋊C4—68no—
571C22⋊C4—68no—
572C22⋊C4—64no—
573C22⋊C4—64no—
574C22⋊C4—124no—
575C22⋊C4—124no—
576C22⋊C4—122no—
577C22⋊C4—124no—
578C22⋊C4—124no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—68no—
583C42—64no—
584C42—64no—
585C42—64no—
586C42—64no—
587C42#23714yes—
588C22×C3—22no—
589C22×C3—22no—
590C22×C3—22no—
591C22×C3—41no—
592C22×C3—41no—
593C22×C3—41no—
594C22×C3—41no—
595C22×C3—44no—
596C22×C3—44no—
597C22×C3—44no—
598C22×C3—44no—
599C22×C3—44no—
600C22×C3—44no—
601C22×C3—44no—
602C22×C3C23×D411yescharacteristic
603C22×C3C22×#4111yescharacteristic
604C22×C3C2×H(5,𝔽2)11yescharacteristic
605C22×C3C2×H(5,𝔽2)11yescharacteristic
606C22×C3C2×2−1+411yescharacteristic
607C22×C3C2×2−1+411yescharacteristic
608C22×C3#58511yescharacteristic
609C3×C4—22no—
610C3×C4—22no—
611C3×C4—22no—
612C3×C4—41no—
613C3×C4—44no—
614C3×C4#54214yescomplemented
615C3×C4#54714yes—
616Dic3—24no—
617Dic3—24no—
618Dic3—42no—
619Dic3—42no—
620Dic3—42no—
621Dic3—42no—
622Dic3—42no—
623Dic3—42no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—24no—
631C23—24no—
632C23—24no—
633C23—24no—
634C23—24no—
635C23—24no—
636C23—24no—
637C23C2×D3×D412yes—
638C23C24×D311yescharacteristic
639Q8—68no—
640Q8—248no—
641D4—48no—
642D4—48no—
643D4—84no—
644D4—88no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—28no—
652C2×C4—24no—
653C2×C4—21no—
654C2×C4—24no—
655C2×C4—21no—
656C2×C4—24no—
657C2×C4—21no—
658C2×C4—34no—
659C2×C4—34no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—62no—
675C2×C4—62no—
676C2×C4—62no—
677C2×C4—62no—
678C2×C4—62no—
679C2×C4—62no—
680C2×C4—62no—
681C2×C4—62no—
682C2×C4—62no—
683C2×C4—62no—
684C2×C4—248no—
685C2×C4C2×D3×D412yes—
686C2×C4C2×D3×D412yes—
687C2×C4C2×#23712yes—
688C2×C4C2×#23712yes—
689C2×C4C2×#23712yes—
690C2×C4#100412yes—
691C2×C4#100412yes—
692C2×C4#101012yes—
693C2×C4#101012yes—
694C2×C3—42no—
695C2×C3—84no—
696C2×C3C2×#54211yescharacteristic
697C2×C3C2×#54711yescharacteristic
698C2×C3#349411yescharacteristic
699C2×C3#349711yescharacteristic
700C2×C3#349811yescharacteristic
701C2×C3#355011yescharacteristic
702C2×C3#355411yescharacteristic
703C22—22no—
704C22—22no—
705C22—22no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—44no—
711C22—44no—
712C22—44no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22C22×D3×D411yescharacteristic
718C22C22×#23711yescharacteristic
719C22C2×#100411yescharacteristic
720C22C2×#100411yescharacteristic
721C22C2×#101011yescharacteristic
722C22C2×#101011yescharacteristic
723C22#596411yescharacteristic
724C4—22no—
725C4—22no—
726C4—22no—
727C4—41no—
728C4—44no—
729C4—64no—
730C4—64no—
731C4—122no—
732C4—122no—
733C4—122no—
734C4—122no—
735C4—122no—
736C4—122no—
737C4#560314yescomplemented
738C4#561114yes—
739C3#3935111yescharacteristic, complemented, Sylow
740C2—42no—
741C2—84no—
742C2C2×#560311yescharacteristic
743C2C2×#561111yescharacteristic
744C2#8593611yescharacteristic
745C2#8619511yescharacteristic
746C2#8622211yescharacteristic
747C2#8623111yescharacteristic
748C2#8623211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
Fitting, prime radicalC3×#2856C2
hypercenter#2856D3
hypocenterC3#39351
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2856

Complements

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

NH ≅ G/Ntype
1. C2×#5603C2semidirect
3. #83179C2semidirect
4. #83173C2semidirect
5. #82682C2semidirect
6. #82678C2semidirect
7. #82662C2semidirect
8. #82644C2semidirect
9. C4×#924C2semidirect
10. #82062C2semidirect
11. #76397C2semidirect
12. #76349C2semidirect
13. #76337C2semidirect
14. #76323C2semidirect
15. #76321C2semidirect
16. #74335C2semidirect
17. #74323C2semidirect
155. #924D4semidirect
614. C3×C4#542semidirect
737. C4#5603semidirect
739. C3#39351semidirect

Maximal subgroups

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

subgroupindex
C2×#56032
C3×#28562
#831792
#831732
#826822
#826782
#826622
#826442
C4×#9242
#820622
#763972
#763492
#763372
#763232
#763212
#743352
#743232
#393513