Finite Group Databasebeta

← #11069390

Subgroups — #11069390

Order 768.

2560 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5483C212yesmaximal, complemented
2C2×C3×#390C211yesmaximal, characteristic
3D4×#217C212yesmaximal
4#82171C212yesmaximal, complemented
5#82117C212yesmaximal, complemented
6#82110C214yesmaximal, complemented
7#82076C211yesmaximal, characteristic, complemented
8C4×#924C211yesmaximal, characteristic, complemented
9#76401C212yesmaximal, complemented
10#76382C214yesmaximal, complemented
11#76380C212yesmaximal, complemented
12#76349C212yesmaximal, complemented
13#76346C212yesmaximal, complemented
14#76323C212yesmaximal, complemented
15#76322C212yesmaximal, complemented
16#39367—31nomaximal, Sylow
17C23×C3×D4C2211yescharacteristic
18C22×C3×C4⋊C4C2211yescharacteristic
19C22×C3×C22⋊C4C2212yes—
20C22×C3×C22⋊C4C2212yes—
21C22×C3×C42C2211yescharacteristic
22C22×#217C2214yes—
23C2×D4×Dic3C2212yes—
24C2×D4×Dic3C2212yes—
25C2×#924C2212yes—
26C2×#924C2214yes—
27C2×#924C2211yescharacteristic
28C2×#888C2212yescomplemented
29#5483—216no—
30C2×#878C2214yescomplemented
31C2×#878C2214yescomplemented
32C2×#878C2214yescomplemented
33C2×#878C2214yescomplemented
34C2×#878C2214yescomplemented
35C2×#869C2211yescharacteristic, complemented
36C2×C4×Dic6C2211yescharacteristic, complemented
37C3×#390C2212yes—
38C3×#390C2212yes—
39C3×#390C2212yes—
40C3×#390C2212yes—
41#5247C2214yes—
42#5221C2212yes—
43#5221C2212yes—
44#5220C2214yes—
45#5220C2214yes—
46#5212C2212yes—
47#5212C2211yescharacteristic
48#5212C2212yes—
49#5210C2212yes—
50#5210C2214yes—
51C4×#217C2212yes—
52#4984C2212yescomplemented
53#4982C2214yescomplemented
54#4979C2214yescomplemented
55#4975C2212yescomplemented
56#4972C2212yescomplemented
57#4950C2214yescomplemented
58#4949C2214yescomplemented
59#4949C2214yescomplemented
60#4948C2214yescomplemented
61#4948C2214yescomplemented
62#4948C2214yescomplemented
63#4948C2214yescomplemented
64#4947C2214yescomplemented
65#4947C2214yescomplemented
66#4946C2214yescomplemented
67#4942C2214yescomplemented
68#4935C2211yescharacteristic, complemented
69C4×C4⋊Dic3C2211yescharacteristic, complemented
70#4933C2212yescomplemented
71C4×Dic3⋊C4C2212yescomplemented
72#4929C2212yescomplemented
73#4929C2211yescharacteristic, complemented
74#4928C2212yescomplemented
75#4928C2211yescharacteristic, complemented
76#4928C2212yescomplemented
77C2×#543—32no—
78#2857—31no—
79#2732—32no—
80#2692—34no—
81#2683—32no—
82#2626—32no—
83#2542—32no—
84#2538—32no—
85#2452—32no—
86#2452—32no—
87#2440—32no—
88#2437—34no—
89D4×C22⋊C4—32no—
90C4×C22⋊Q8—31no—
91C2×#390D311yescharacteristic
92C25×C3C2312yes—
93C22×C3×D4—42no—
94C22×C3×D4—42no—
95C22×C3×D4Q818yescomplemented
96C22×C3×D4C2312yes—
97C22×C3×D4C2312yes—
98C23×C3×C4C2311yescharacteristic
99C23×C3×C4C2311yescharacteristic
100C23×C3×C4C2312yes—
101C23×C3×C4C2311yescharacteristic
102C23×Dic3C2314yes—
103C23×Dic3C2314yes—
104C22×Dic6C2312yes—
105C22×Dic6C2314yes—
106C22×Dic6C2311yescharacteristic
107C2×C3×C4⋊C4—42no—
108C2×C3×C4⋊C4C2312yes—
109C2×C3×C4⋊C4C2312yes—
110C2×C3×C22⋊C4—28no—
111C2×C3×C22⋊C4—44no—
112C2×C3×C22⋊C4C2314yes—
113C2×C3×C22⋊C4C2314yes—
114C2×C3×C22⋊C4C2314yes—
115C2×C3×C22⋊C4C2314yes—
116C2×C3×C42—42no—
117C2×C3×C42C2311yescharacteristic
118C2×C3×C42C2311yescharacteristic
119C2×C3×C42C2311yescharacteristic
120C2×C3×C42C2311yescharacteristic
121C2×#217—216no—
122C2×#217C2314yes—
123C2×#217C2314yes—
124C2×#217C2312yes—
125C2×#217C2314yes—
126C2×#217C2314yes—
127C2×#217C2314yes—
128C2×#217C2314yes—
129C2×#217C2314yes—
130C2×#217C2312yes—
131D4×Dic3—44no—
132D4×Dic3—44no—
133C2×C4⋊Dic3C2312yes—
134C2×C4⋊Dic3C2312yes—
135C2×C4⋊Dic3C2312yes—
136C2×C4⋊Dic3C2312yes—
137C2×C4⋊Dic3C2314yes—
138C2×C4⋊Dic3C2311yescharacteristic
139C2×C4⋊Dic3C2312yes—
140C2×C4⋊Dic3C2311yescharacteristic
141C2×C4⋊Dic3C2311yescharacteristic
142#924—28no—
143#924—216no—
144#924D418yescomplemented
145C2×Dic3⋊C4C2314yes—
146C2×Dic3⋊C4C2312yes—
147C2×Dic3⋊C4C2314yes—
148C2×Dic3⋊C4C2314yes—
149C2×Dic3⋊C4C2312yes—
150C2×Dic3⋊C4C2314yes—
151C2×Dic3⋊C4C2314yes—
152C2×Dic3⋊C4C2312yes—
153C2×C4×Dic3C2312yes—
154C2×C4×Dic3C2312yes—
155#888—44no—
156#878—216no—
157#878—216no—
158#878—216no—
159#878—216no—
160#878—48no—
161#869—42no—
162C4×Dic6—42no—
163C3⋊#95C2314yes—
164C3⋊#95C2314yes—
165C3⋊#95C2312yes—
166C3⋊#95C2312yes—
167C3⋊#95C2312yes—
168C3⋊#95C2312yes—
169C3⋊#95C2312yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C23×D4C2×D311yescharacteristic
173#543—616no—
174C2×C4⋊Q8—32no—
175C2×C4⋊Q8—31no—
176C2×C22⋊Q8—31no—
177C2×C22⋊Q8—32no—
178C2×C22⋊Q8—34no—
179C2×C22⋊Q8—34no—
180C2×C22⋊Q8—34no—
181C2×C22⋊Q8—34no—
182C2×C22⋊Q8—34no—
183C2×C22⋊Q8—34no—
184C2×C4×Q8—31no—
185C2×C4×D4—32no—
186C2×C4×D4—32no—
187C22×C4⋊C4C2×D311yescharacteristic
188C22×C22⋊C4—34no—
189C22×C22⋊C4C2×D312yes—
190C22×C22⋊C4C2×D312yes—
191C22×C42C2×D311yescharacteristic
192#399—34no—
193#399—34no—
194#398—34no—
195#396—34no—
196#396—34no—
197#396—34no—
198#396—34no—
199#395—34no—
200#393—34no—
201#393—34no—
202#391—32no—
203#391—31no—
204#390—32no—
205#390—32no—
206#390C2×D312yes—
207#390C2×D312yes—
208#390C2×D312yes—
209#390C2×D312yes—
210#389—32no—
211#389—32no—
212#389—32no—
213#389—32no—
214#389—31no—
215#387—32no—
216#386—34no—
217#386—34no—
218#385—34no—
219#385—32no—
220#385—34no—
221#385—34no—
222#384—32no—
223#384—31no—
224#380—32no—
225#380—32no—
226#380—31no—
227#380—34no—
228#379—34no—
229C4×C4⋊C4—32no—
230C4×C4⋊C4—31no—
231C4×C22⋊C4—32no—
232C24×C3—24no—
233C24×C3—24no—
234C24×C3—42no—
235C24×C3—42no—
236C24×C3—42no—
237C24×C3—42no—
238C24×C3C2×Q818yes—
239C24×C3C2414yes—
240C24×C3C2411yescharacteristic
241C2×C3×D4—24no—
242C2×C3×D4—24no—
243C2×C3×D4—416no—
244C2×C3×D4—42no—
245C2×C3×D4—42no—
246C2×C3×D4C2×Q818yes—
247C2×C3×D4C2×Q818yes—
248C22×C3×C4—22no—
249C22×C3×C4—22no—
250C22×C3×C4—22no—
251C22×C3×C4—24no—
252C22×C3×C4—22no—
253C22×C3×C4—41no—
254C22×C3×C4—41no—
255C22×C3×C4—41no—
256C22×C3×C4—42no—
257C22×C3×C4—42no—
258C22×C3×C4C2×D414yes—
259C22×C3×C4C2×Q814yes—
260C22×C3×C4C2411yescharacteristic
261C22×C3×C4C2414yes—
262C22×C3×C4C2411yescharacteristic
263C22×C3×C4C2411yescharacteristic
264C22×C3×C4C2411yescharacteristic
265C22×C3×C4C2411yescharacteristic
266C22×C3×C4C2411yescharacteristic
267C22×Dic3—28no—
268C22×Dic3—28no—
269C22×Dic3—44no—
270C22×Dic3—44no—
271C22×Dic3—44no—
272C22×Dic3—44no—
273C22×Dic3C2412yes—
274C22×Dic3C2412yes—
275C22×Dic3C2414yes—
276C22×Dic3C2414yes—
277C22×Dic3C2412yes—
278C22×Dic3C2412yes—
279C2×Dic6—24no—
280C2×Dic6—28no—
281C2×Dic6—41no—
282C2×Dic6—41no—
283C2×Dic6—42no—
284C2×Dic6—44no—
285C2×Dic6—44no—
286C2×Dic6—42no—
287C2×Dic6C2×D414yescomplemented
288C3×C4⋊C4—24no—
289C3×C4⋊C4—42no—
290C3×C22⋊C4—28no—
291C3×C22⋊C4—28no—
292C3×C22⋊C4—28no—
293C3×C22⋊C4—44no—
294C3×C42—22no—
295C3×C42—22no—
296C3×C42—41no—
297C3×C42—41no—
298#217—28no—
299#217—24no—
300#217—28no—
301#217—28no—
302#217—44no—
303#217—44no—
304#217—44no—
305#217—44no—
306#217C2×D418yes—
307C4⋊Dic3—24no—
308C4⋊Dic3—24no—
309C4⋊Dic3—24no—
310C4⋊Dic3—24no—
311C4⋊Dic3—28no—
312C4⋊Dic3—41no—
313C4⋊Dic3—42no—
314C4⋊Dic3—41no—
315C4⋊Dic3C2×D414yescomplemented
316Dic3⋊C4—28no—
317Dic3⋊C4—24no—
318Dic3⋊C4—28no—
319Dic3⋊C4—28no—
320Dic3⋊C4—42no—
321Dic3⋊C4—44no—
322Dic3⋊C4—44no—
323Dic3⋊C4C2×D418yescomplemented
324C4×Dic3—24no—
325C4×Dic3—24no—
326C25C22×D312yes—
327C22×Q8—31no—
328C22×Q8—34no—
329C22×Q8—32no—
330C22×D4—42no—
331C22×D4—42no—
332C22×D4Dic618yescomplemented
333C22×D4C22×D312yes—
334C22×D4C22×D312yes—
335C23×C4—34no—
336C23×C4—34no—
337C23×C4C22×D311yescharacteristic
338C23×C4C22×D311yescharacteristic
339C23×C4C22×D312yes—
340C23×C4C22×D311yescharacteristic
341C4⋊Q8—122no—
342C4⋊Q8—124no—
343C22⋊Q8—38no—
344C22⋊Q8—616no—
345C22⋊Q8—616no—
346C22⋊Q8—616no—
347C22⋊Q8—616no—
348C22⋊Q8—616no—
349C22⋊Q8—68no—
350C22⋊Q8—128no—
351C4×Q8—122no—
352C4×D4—124no—
353C4×D4—124no—
354C2×C4⋊C4—32no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—32no—
357C2×C4⋊C4—32no—
358C2×C4⋊C4—34no—
359C2×C4⋊C4—32no—
360C2×C4⋊C4—34no—
361C2×C4⋊C4—34no—
362C2×C4⋊C4—34no—
363C2×C4⋊C4—32no—
364C2×C4⋊C4—32no—
365C2×C4⋊C4—32no—
366C2×C4⋊C4—31no—
367C2×C4⋊C4—34no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—34no—
370C2×C4⋊C4—31no—
371C2×C4⋊C4—42no—
372C2×C4⋊C4C22×D312yes—
373C2×C4⋊C4C22×D312yes—
374C2×C22⋊C4—28no—
375C2×C22⋊C4—32no—
376C2×C22⋊C4—34no—
377C2×C22⋊C4—34no—
378C2×C22⋊C4—34no—
379C2×C22⋊C4—32no—
380C2×C22⋊C4—34no—
381C2×C22⋊C4—34no—
382C2×C22⋊C4—34no—
383C2×C22⋊C4—34no—
384C2×C22⋊C4—44no—
385C2×C22⋊C4—616no—
386C2×C22⋊C4C22×D314yes—
387C2×C22⋊C4C22×D314yes—
388C2×C22⋊C4C22×D314yes—
389C2×C22⋊C4C22×D314yes—
390C2×C42—32no—
391C2×C42—32no—
392C2×C42—42no—
393C2×C42C22×D311yescharacteristic
394C2×C42C22×D311yescharacteristic
395C2×C42C22×D311yescharacteristic
396C2×C42C22×D311yescharacteristic
397#95—32no—
398#95—32no—
399#95—32no—
400#95—32no—
401#95—32no—
402#95—34no—
403#95—34no—
404#95—34no—
405#95—34no—
406C23×C3—21no—
407C23×C3—21no—
408C23×C3—21no—
409C23×C3—21no—
410C23×C3—24no—
411C23×C3—24no—
412C23×C3—24no—
413C23×C3—24no—
414C23×C3—24no—
415C23×C3—24no—
416C23×C3—216no—
417C23×C3—48no—
418C23×C3—48no—
419C23×C3—84no—
420C23×C3—84no—
421C23×C3—84no—
422C23×C3—84no—
423C23×C3C22×D412yes—
424C23×C3C22×Q818yes—
425C23×C3C22×Q812yes—
426C23×C32−1+412yes—
427C23×C3C2511yescharacteristic
428C3×D4—216no—
429C3×D4—48no—
430C2×C3×C4—21no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—21no—
434C2×C3×C4—21no—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—28no—
439C2×C3×C4—24no—
440C2×C3×C4—21no—
441C2×C3×C4—24no—
442C2×C3×C4—24no—
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—44no—
446C2×C3×C4—44no—
447C2×C3×C4—84no—
448C2×C3×C4C22×D412yes—
449C2×C3×C4C22×D412yes—
450C2×C3×C4C22×Q812yes—
451C2×C3×C4C22×Q812yes—
452C2×C3×C4H(5,𝔽2)12yes—
453C2×C3×C4H(5,𝔽2)12yes—
454C2×C3×C4H(5,𝔽2)12yes—
455C2×Dic3—22no—
456C2×Dic3—22no—
457C2×Dic3—22no—
458C2×Dic3—22no—
459C2×Dic3—24no—
460C2×Dic3—24no—
461C2×Dic3—22no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—24no—
465C2×Dic3—24no—
466C2×Dic3—24no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—22no—
470C2×Dic3—24no—
471C2×Dic3—88no—
472C2×Dic3—88no—
473C2×Dic3C22×D414yes—
474C2×Dic3C22×D414yes—
475Dic6—44no—
476Dic6—88no—
477Dic6—84no—
478C24—24no—
479C24—24no—
480C24—42no—
481C24—42no—
482C24—42no—
483C24—42no—
484C24C2×Dic618yes—
485C24C23×D314yes—
486C24C23×D311yescharacteristic
487C2×Q8—34no—
488C2×Q8—68no—
489C2×Q8—64no—
490C2×Q8—121no—
491C2×Q8—121no—
492C2×Q8—124no—
493C2×Q8—122no—
494C2×Q8—124no—
495C2×Q8—122no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—416no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4C2×Dic618yes—
502C2×D4C2×Dic618yes—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—32no—
509C22×C4—32no—
510C22×C4—32no—
511C22×C4—32no—
512C22×C4—34no—
513C22×C4—34no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—68no—
520C22×C4—68no—
521C22×C4—124no—
522C22×C4—124no—
523C22×C4—124no—
524C22×C4—124no—
525C22×C4C2×Dic614yes—
526C22×C4D3×D414yes—
527C22×C4C23×D311yescharacteristic
528C22×C4C23×D314yes—
529C22×C4C23×D311yescharacteristic
530C22×C4C23×D311yescharacteristic
531C22×C4C23×D311yescharacteristic
532C22×C4C23×D311yescharacteristic
533C22×C4C23×D311yescharacteristic
534C4⋊C4—24no—
535C4⋊C4—38no—
536C4⋊C4—34no—
537C4⋊C4—42no—
538C4⋊C4—68no—
539C4⋊C4—68no—
540C4⋊C4—68no—
541C4⋊C4—68no—
542C4⋊C4—64no—
543C4⋊C4—64no—
544C4⋊C4—64no—
545C4⋊C4—64no—
546C4⋊C4—64no—
547C4⋊C4—122no—
548C4⋊C4—121no—
549C4⋊C4—124no—
550C4⋊C4—124no—
551C4⋊C4—122no—
552C4⋊C4—121no—
553C22⋊C4—28no—
554C22⋊C4—28no—
555C22⋊C4—28no—
556C22⋊C4—38no—
557C22⋊C4—44no—
558C22⋊C4—68no—
559C22⋊C4—68no—
560C22⋊C4—68no—
561C22⋊C4—64no—
562C22⋊C4—124no—
563C22⋊C4—124no—
564C22⋊C4—124no—
565C22⋊C4—124no—
566C42—22no—
567C42—22no—
568C42—41no—
569C42—41no—
570C42—64no—
571C42—64no—
572C22×C3—22no—
573C22×C3—22no—
574C22×C3—22no—
575C22×C3—22no—
576C22×C3—22no—
577C22×C3—22no—
578C22×C3—28no—
579C22×C3—28no—
580C22×C3—28no—
581C22×C3—44no—
582C22×C3—44no—
583C22×C3—44no—
584C22×C3—44no—
585C22×C3—816no—
586C22×C3D4×Q814yes—
587C22×C3C23×D411yescharacteristic
588C22×C3C23×Q811yescharacteristic
589C22×C3C2×H(5,𝔽2)11yescharacteristic
590C22×C3C2×H(5,𝔽2)11yescharacteristic
591C22×C3C2×H(5,𝔽2)11yescharacteristic
592C22×C3C2×2−1+411yescharacteristic
593C22×C3#58511yescharacteristic
594C3×C4—22no—
595C3×C4—22no—
596C3×C4—22no—
597C3×C4—22no—
598C3×C4—44no—
599C3×C4—41no—
600C3×C4#54314yescomplemented
601Dic3—24no—
602Dic3—24no—
603Dic3—44no—
604Dic3—44no—
605Dic3—42no—
606Dic3—42no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—24no—
612C23—24no—
613C23—24no—
614C23—24no—
615C23—24no—
616C23—24no—
617C23—216no—
618C23—48no—
619C23—48no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23C22×Dic618yes—
625C23C22×Dic612yes—
626C23C2×D3×D412yes—
627C23#101012yes—
628C23C24×D311yescharacteristic
629Q8—124no—
630Q8—244no—
631Q8—248no—
632D4—216no—
633D4—48no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—28no—
643C2×C4—24no—
644C2×C4—21no—
645C2×C4—24no—
646C2×C4—21no—
647C2×C4—24no—
648C2×C4—21no—
649C2×C4—34no—
650C2×C4—34no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—62no—
654C2×C4—62no—
655C2×C4—62no—
656C2×C4—62no—
657C2×C4—64no—
658C2×C4—64no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—64no—
663C2×C4—64no—
664C2×C4—64no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—64no—
669C2×C4—84no—
670C2×C4—248no—
671C2×C4—248no—
672C2×C4C22×Dic612yes—
673C2×C4C22×Dic612yes—
674C2×C4C2×D3×D412yes—
675C2×C4C2×D3×D412yes—
676C2×C4#100412yes—
677C2×C4#100412yes—
678C2×C4#100412yes—
679C2×C3—24no—
680C2×C3—48no—
681C2×C3C2×#54311yescharacteristic
682C2×C3C2×D4×Q811yescharacteristic
683C2×C3#349611yescharacteristic
684C2×C3#349811yescharacteristic
685C2×C3#350111yescharacteristic
686C2×C3#353611yescharacteristic
687C2×C3#356111yescharacteristic
688C22—22no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—28no—
695C22—28no—
696C22—28no—
697C22—44no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—816no—
702C22D4×Dic614yes—
703C22C23×Dic611yescharacteristic
704C22C22×D3×D411yescharacteristic
705C22C2×#100411yescharacteristic
706C22C2×#100411yescharacteristic
707C22C2×#100411yescharacteristic
708C22C2×#101011yescharacteristic
709C22#596411yescharacteristic
710C4—22no—
711C4—22no—
712C4—22no—
713C4—22no—
714C4—44no—
715C4—41no—
716C4—64no—
717C4—64no—
718C4—122no—
719C4—124no—
720C4—124no—
721C4—122no—
722C4#548314yescomplemented
723C3#3936711yescharacteristic, complemented, Sylow
724C2—24no—
725C2—48no—
726C2C2×#548311yescharacteristic
727C2C2×D4×Dic611yescharacteristic
728C2#8576611yescharacteristic
729C2#8595011yescharacteristic
730C2#8595511yescharacteristic
731C2#8608111yescharacteristic
732C2#8619511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#390C2
prime radicalC23×C3×D4C22
hypercenterC2×#390D3
hypocenterC3#39367
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
1. C2×#5483C2semidirect
4. #82171C2semidirect
5. #82117C2semidirect
6. #82110C2semidirect
7. #82076C2semidirect
8. C4×#924C2semidirect
9. #76401C2semidirect
10. #76382C2semidirect
11. #76380C2semidirect
12. #76349C2semidirect
13. #76346C2semidirect
14. #76323C2semidirect
15. #76322C2semidirect
28. C2×#888C22semidirect
30. C2×#878C22semidirect
31. C2×#878C22semidirect
32. C2×#878C22semidirect
33. C2×#878C22semidirect
34. C2×#878C22semidirect
35. C2×#869C22semidirect
36. C2×C4×Dic6C22semidirect
52. #4984C22semidirect
53. #4982C22semidirect
54. #4979C22semidirect
55. #4975C22semidirect
56. #4972C22semidirect
57. #4950C22semidirect
58. #4949C22semidirect
59. #4949C22semidirect
60. #4948C22semidirect
61. #4948C22semidirect
62. #4948C22semidirect
63. #4948C22semidirect
64. #4947C22semidirect
65. #4947C22semidirect
66. #4946C22semidirect
67. #4942C22semidirect
68. #4935C22semidirect
69. C4×C4⋊Dic3C22semidirect
70. #4933C22semidirect
71. C4×Dic3⋊C4C22semidirect
72. #4929C22semidirect
73. #4929C22semidirect
74. #4928C22semidirect
75. #4928C22semidirect
76. #4928C22semidirect
95. C22×C3×D4Q8semidirect
144. #924D4semidirect
287. C2×Dic6C2×D4semidirect
315. C4⋊Dic3C2×D4semidirect
323. Dic3⋊C4C2×D4semidirect
332. C22×D4Dic6semidirect
600. C3×C4#543semidirect
722. C4#5483semidirect
723. C3#39367semidirect

Maximal subgroups

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

subgroupindex
C2×#54832
C2×C3×#3902
D4×#2172
#821712
#821172
#821102
#820762
C4×#9242
#764012
#763822
#763802
#763492
#763462
#763232
#763222
#393673