Finite Group Databasebeta

← #10974297

Subgroups — #10974297

Order 768.

3006 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#938C211yesmaximal, characteristic
2C2×#5486C211yesmaximal, characteristic, complemented
3C3×#2405C211yesmaximal, characteristic, complemented
4#84047C211yesmaximal, characteristic, complemented
5#82897C214yesmaximal, complemented
6#82114C211yesmaximal, characteristic, complemented
7#77118C214yesmaximal, complemented
8#77117C214yesmaximal, complemented
9#74897C214yesmaximal, complemented
10D3×#385C212yesmaximal, complemented
11#74456C212yesmaximal, complemented
12#73849C211yesmaximal, characteristic, complemented
13#73849C212yesmaximal, complemented
14#73833C211yesmaximal, characteristic, complemented
15#73832C212yesmaximal, complemented
16#35351—31nomaximal, Sylow
17C23×C3×D4C2211yescharacteristic
18C23×#67C2211yescharacteristic
19C23×#67C2211yescharacteristic
20C23×C4×D3C2211yescharacteristic
21C2×C3×#123C2212yescomplemented
22C22×C3×C22⋊C4C2211yescharacteristic
23C22×#217C2211yescharacteristic
24C22×#217C2211yescharacteristic
25C22×#217C2211yescharacteristic
26C2×#938—28no—
27C2×#938C2214yes—
28C2×#938C2214yes—
29C2×#935C2212yescomplemented
30C2×C4×#67C2212yescomplemented
31C2×C4×#67C2212yescomplemented
32C22×C4⋊Dic3C2211yescharacteristic
33C2×D3×C4⋊C4C2214yescomplemented
34#5486—28no—
35C2×#67⋊C4C2212yescomplemented
36C2×#67⋊C4C2212yescomplemented
37C2×D3×C22⋊C4C2212yes—
38C2×D3×C22⋊C4C2212yes—
39C2×#877C2212yes—
40C3×#394C2214yescomplemented
41C3×#386C2212yescomplemented
42C3×#385C2212yes—
43C3×#379C2212yes—
44C3×#379C2211yescharacteristic
45#5247C2212yes—
46#5247C2211yescharacteristic
47#5222C2214yescomplemented
48#5220C2212yescomplemented
49#5211C2212yescomplemented
50#5210C2212yes—
51#5210C2212yescomplemented
52#4989C2214yescomplemented
53#4982C2214yescomplemented
54#4980C2214yescomplemented
55#4956C2214yescomplemented
56#4956C2214yescomplemented
57#4956C2214yescomplemented
58#4956C2214yescomplemented
59#4956C2214yescomplemented
60#4956C2214yescomplemented
61#4953C2214yescomplemented
62#4952C2214yescomplemented
63#4952C2214yescomplemented
64#4951C2214yescomplemented
65#4950C2212yes—
66#4950C2212yescomplemented
67#4949C2214yescomplemented
68#4946C2212yes—
69#4945C2214yescomplemented
70#4943C2212yes—
71#4943C2212yes—
72#4943C2212yes—
73#4943C2212yescomplemented
74#4668C2214yescomplemented
75D3×#95C2214yescomplemented
76#4660C2214yescomplemented
77#4655C2214yescomplemented
78C22×#121—31no—
79C2×#518—31no—
80#2484—32no—
81#2483—31no—
82#2483—31no—
83#2482—32no—
84#2444—34no—
85#2444—34no—
86#2443—34no—
87#2443—34no—
88#2405—31no—
89#2405D311yescharacteristic, complemented
90#2308—31no—
91#2308—32no—
92C2×#385—32no—
93C25×C3C2311yescharacteristic
94C25×C3C2311yescharacteristic
95C24×D3C2311yescharacteristic
96C22×C3×D4—24no—
97C22×C3×D4—44no—
98C22×C3×D4C2312yes—
99C22×C3×D4C2312yes—
100C23×C3×C4C2311yescharacteristic
101C23×C3×C4C2311yescharacteristic
102C23×C3×C4C2311yescharacteristic
103C22×#67—28no—
104C22×#67—24no—
105C22×#67—28no—
106C22×#67D418yes—
107C22×#67C2314yes—
108C22×#67C2312yes—
109C22×#67C2312yes—
110C23×Dic3C2311yescharacteristic
111C23×Dic3C2311yescharacteristic
112C23×Dic3C2311yescharacteristic
113C23×Dic3C2311yescharacteristic
114C23×Dic3C2311yescharacteristic
115C22×C4×D3—24no—
116C22×C4×D3—44no—
117C22×C4×D3C2314yes—
118C22×C4×D3C2312yes—
119C22×C4×D3C2314yes—
120C22×C4×D3C2312yes—
121C3×#123—44no—
122C2×C3×C4⋊C4C2314yes—
123C2×C3×C22⋊C4—24no—
124C2×C3×C22⋊C4C2312yes—
125C2×C3×C22⋊C4C2312yes—
126C2×C3×C22⋊C4C2312yes—
127C2×C3×C22⋊C4C2312yes—
128C2×C3×C22⋊C4C2314yes—
129C2×C3×C22⋊C4C2314yes—
130C2×C3×C22⋊C4C2312yes—
131C2×#217—24no—
132C2×#217—24no—
133C2×#217—24no—
134C2×#217C2312yes—
135C2×#217C2312yes—
136C2×#217C2312yes—
137C2×#217C2314yes—
138C2×#217C2312yes—
139C2×#217C2312yes—
140C2×#217C2314yes—
141C2×#217C2314yes—
142C2×#217C2312yes—
143C2×#217C2312yes—
144#938—216no—
145#938—216no—
146#935—44no—
147C4×#67—28no—
148C4×#67—28no—
149C2×(C2×D3)⋊C4C2312yes—
150C2×(C2×D3)⋊C4C2314yes—
151C2×(C2×D3)⋊C4C2312yes—
152C2×C4⋊Dic3—24no—
153C2×C4⋊Dic3C2314yes—
154C2×C4⋊Dic3C2314yes—
155C2×Dic3⋊C4C2314yes—
156C2×Dic3⋊C4C2312yes—
157C2×Dic3⋊C4C2312yes—
158C2×Dic3⋊C4C2314yes—
159C2×C4×Dic3C2312yes—
160C2×C4×Dic3C2312yes—
161D3×C4⋊C4—48no—
162#67⋊C4—28no—
163#67⋊C4—28no—
164D3×C22⋊C4—28no—
165D3×C22⋊C4—28no—
166#877—28no—
167C3×#95C2314yes—
168C3⋊#95C2314yes—
169C3⋊#95C2314yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C3⋊#95C2314yes—
174C3⋊#95C2314yes—
175C3⋊#95C2314yes—
176C3⋊#95C2314yes—
177C23×D4—31no—
178C23×D4—31no—
179C23×D4C2×D311yescharacteristic
180C24×C4—31no—
181C2×#123—32no—
182C2×#123C2×D312yescomplemented
183C2×#121—34no—
184C2×#121—34no—
185C2×#121—68no—
186#518—68no—
187C2×C4×D4—32no—
188C2×C4×D4—32no—
189C2×C4×D4—32no—
190C2×C4×D4—32no—
191C2×#117—32no—
192C22×C4⋊C4—31no—
193C22×C4⋊C4—34no—
194C22×C22⋊C4—31no—
195C22×C22⋊C4—31no—
196C22×C22⋊C4—31no—
197C22×C22⋊C4—32no—
198C22×C22⋊C4—32no—
199C22×C22⋊C4C2×D311yescharacteristic
200#400—34no—
201#399—34no—
202#398—34no—
203#397—34no—
204#397—34no—
205#397—34no—
206#394—34no—
207#394C2×D314yescomplemented
208#388—34no—
209#388—34no—
210#387—34no—
211#387—34no—
212#386—32no—
213#386—34no—
214#386—34no—
215#386—34no—
216#386—34no—
217#386—34no—
218#386—34no—
219#386C2×D312yescomplemented
220#385—32no—
221#385—32no—
222#385—34no—
223#385—32no—
224#385—32no—
225#385—32no—
226#385—34no—
227#385C2×D312yes—
228#381—32no—
229#381—32no—
230#381—32no—
231#381—32no—
232#381—32no—
233#379—32no—
234#379—31no—
235#379C2×D312yes—
236#379C2×D311yescharacteristic
237C2×#95—34no—
238C24×C3—24no—
239C24×C3—22no—
240C24×C3—24no—
241C24×C3—42no—
242C24×C3—42no—
243C24×C3—42no—
244C24×C3—42no—
245C24×C3C2×D414yes—
246C24×C3C2412yes—
247C24×C3C2411yescharacteristic
248C24×C3C2411yescharacteristic
249C24×C3C2411yescharacteristic
250C23×D3—42no—
251C23×D3—42no—
252C23×D3C2×D414yes—
253C23×D3#4118yes—
254C23×D3C2412yes—
255C2×C3×D4—24no—
256C2×C3×D4—24no—
257C2×C3×D4—24no—
258C2×C3×D4—24no—
259C2×C3×D4—42no—
260C2×C3×D4—42no—
261C2×C3×D4—416no—
262C22×C3×C4—22no—
263C22×C3×C4—24no—
264C22×C3×C4—22no—
265C22×C3×C4—22no—
266C22×C3×C4—42no—
267C22×C3×C4—42no—
268C22×C3×C4C2414yes—
269C22×C3×C4C2412yes—
270C22×C3×C4C2412yes—
271C22×C3×C4C2412yes—
272C2×#67—232no—
273C2×#67—24no—
274C2×#67—24no—
275C2×#67—24no—
276C2×#67—24no—
277C2×#67—28no—
278C2×#67—28no—
279C2×#67—28no—
280C2×#67—416no—
281C2×#67C2×D418yes—
282C2×#67C2×D418yes—
283C22×Dic3—24no—
284C22×Dic3—22no—
285C22×Dic3—22no—
286C22×Dic3—24no—
287C22×Dic3—22no—
288C22×Dic3—22no—
289C22×Dic3—42no—
290C22×Dic3—42no—
291C22×Dic3—42no—
292C22×Dic3C2×D414yes—
293C22×Dic3C2412yes—
294C22×Dic3C2412yes—
295C22×Dic3C2414yes—
296C22×Dic3C2412yes—
297C22×Dic3C2412yes—
298C22×Dic3C2412yes—
299C2×C4×D3—28no—
300C2×C4×D3—28no—
301C2×C4×D3—28no—
302C2×C4×D3—24no—
303C2×C4×D3—24no—
304C2×C4×D3—44no—
305C2×C4×D3—44no—
306C2×C4×D3—44no—
307C2×C4×D3—416no—
308C2×C4×D3—44no—
309C2×C4×D3—44no—
310C3×C4⋊C4—28no—
311C3×C22⋊C4—24no—
312C3×C22⋊C4—24no—
313C3×C22⋊C4—24no—
314C3×C22⋊C4—42no—
315C3×C22⋊C4—44no—
316C3×C22⋊C4—44no—
317C3×C22⋊C4—42no—
318#217—24no—
319#217—24no—
320#217—24no—
321#217—24no—
322#217—24no—
323#217—28no—
324#217—42no—
325#217—44no—
326#217—42no—
327#217—44no—
328(C2×D3)⋊C4—24no—
329(C2×D3)⋊C4—24no—
330(C2×D3)⋊C4—28no—
331C4⋊Dic3—28no—
332C4⋊Dic3—44no—
333Dic3⋊C4—28no—
334Dic3⋊C4—24no—
335Dic3⋊C4—24no—
336Dic3⋊C4—44no—
337C4×Dic3—24no—
338C4×Dic3—24no—
339C25—31no—
340C25C22×D311yescharacteristic
341C25C22×D311yescharacteristic
342C22×D4—24no—
343C22×D4—38no—
344C22×D4—32no—
345C22×D4—32no—
346C22×D4—34no—
347C22×D4—44no—
348C22×D4—68no—
349C22×D4—64no—
350C22×D4—68no—
351C22×D4C22×D312yes—
352C22×D4C22×D312yes—
353C23×C4—31no—
354C23×C4—31no—
355C23×C4—31no—
356C23×C4—31no—
357C23×C4—31no—
358C23×C4—34no—
359C23×C4—32no—
360C23×C4—34no—
361C23×C4—32no—
362C23×C4—64no—
363C23×C4—124no—
364C23×C4C22×D311yescharacteristic
365C23×C4C22×D311yescharacteristic
366C23×C4C22×D311yescharacteristic
367#123—44no—
368#123—124no—
369#121—616no—
370#121—616no—
371C4×D4—68no—
372C4×D4—68no—
373C4×D4—68no—
374C4×D4—68no—
375#117—68no—
376C2×C4⋊C4—34no—
377C2×C4⋊C4—34no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4—32no—
380C2×C4⋊C4—34no—
381C2×C4⋊C4—34no—
382C2×C4⋊C4—64no—
383C2×C4⋊C4—128no—
384C2×C4⋊C4C22×D314yes—
385C2×C22⋊C4—24no—
386C2×C22⋊C4—32no—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—32no—
390C2×C22⋊C4—34no—
391C2×C22⋊C4—32no—
392C2×C22⋊C4—32no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—34no—
395C2×C22⋊C4—32no—
396C2×C22⋊C4—34no—
397C2×C22⋊C4—32no—
398C2×C22⋊C4—34no—
399C2×C22⋊C4—68no—
400C2×C22⋊C4—68no—
401C2×C22⋊C4—64no—
402C2×C22⋊C4—64no—
403C2×C22⋊C4—64no—
404C2×C22⋊C4C22×D312yes—
405C2×C22⋊C4C22×D312yes—
406C2×C22⋊C4C22×D312yes—
407C2×C22⋊C4C22×D312yes—
408C2×C22⋊C4C22×D314yes—
409C2×C22⋊C4C22×D312yes—
410C2×C22⋊C4C22×D314yes—
411C2×C42—32no—
412C2×C42—32no—
413#95—34no—
414#95—34no—
415#95—34no—
416#95—34no—
417#95—34no—
418#95—34no—
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×C3—22no—
431C23×C3—28no—
432C23×C3—22no—
433C23×C3—24no—
434C23×C3—22no—
435C23×C3—22no—
436C23×C3—24no—
437C23×C3—44no—
438C23×C3—44no—
439C23×C3—44no—
440C23×C3—44no—
441C23×C3—44no—
442C23×C3—88no—
443C23×C3—88no—
444C23×C3C22×D412yes—
445C23×C3C22×D412yes—
446C23×C3C22×D412yes—
447C23×C3C2×#4114yes—
448C23×C3C2511yescharacteristic
449C22×D3—24no—
450C22×D3—24no—
451C22×D3—44no—
452C22×D3—44no—
453C22×D3—416no—
454C22×D3#123116yescomplemented
455C22×D3C22×D414yes—
456C22×D3C2×#4114yes—
457C22×D3C2×#4114yes—
458C3×D4—48no—
459C3×D4—48no—
460C2×C3×C4—28no—
461C2×C3×C4—22no—
462C2×C3×C4—22no—
463C2×C3×C4—22no—
464C2×C3×C4—22no—
465C2×C3×C4—24no—
466C2×C3×C4—24no—
467C2×C3×C4—24no—
468C2×C3×C4—24no—
469C2×C3×C4—24no—
470C2×C3×C4—82no—
471C2×C3×C4—82no—
472C2×C3×C4H(5,𝔽2)14yes—
473#67—216no—
474#67—216no—
475#67—416no—
476C2×Dic3—28no—
477C2×Dic3—22no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3—22no—
483C2×Dic3—24no—
484C2×Dic3—24no—
485C2×Dic3—24no—
486C2×Dic3—24no—
487C2×Dic3—24no—
488C2×Dic3—24no—
489C2×Dic3—24no—
490C2×Dic3—44no—
491C2×Dic3—44no—
492C2×Dic3—82no—
493C2×Dic3—82no—
494C2×Dic3C22×D414yes—
495C4×D3—416no—
496C4×D3—416no—
497C4×D3—84no—
498C4×D3—84no—
499C24—24no—
500C24—22no—
501C24—24no—
502C24—32no—
503C24—34no—
504C24—38no—
505C24—42no—
506C24—42no—
507C24—42no—
508C24—42no—
509C24—122no—
510C24—122no—
511C24D3×D414yes—
512C24C23×D312yes—
513C24C23×D311yescharacteristic
514C24C23×D311yescharacteristic
515C24C23×D311yescharacteristic
516C2×D4—24no—
517C2×D4—24no—
518C2×D4—24no—
519C2×D4—24no—
520C2×D4—38no—
521C2×D4—38no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4—416no—
525C2×D4—632no—
526C2×D4—64no—
527C2×D4—64no—
528C2×D4—64no—
529C2×D4—64no—
530C2×D4—68no—
531C2×D4—68no—
532C2×D4—68no—
533C2×D4—1216no—
534C22×C4—22no—
535C22×C4—24no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—34no—
539C22×C4—32no—
540C22×C4—32no—
541C22×C4—32no—
542C22×C4—34no—
543C22×C4—32no—
544C22×C4—32no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—68no—
548C22×C4—68no—
549C22×C4—64no—
550C22×C4—64no—
551C22×C4—64no—
552C22×C4—62no—
553C22×C4—62no—
554C22×C4—64no—
555C22×C4—62no—
556C22×C4—62no—
557C22×C4—68no—
558C22×C4—124no—
559C22×C4—124no—
560C22×C4—124no—
561C22×C4—124no—
562C22×C4—124no—
563C22×C4—1216no—
564C22×C4—122no—
565C22×C4—122no—
566C22×C4—122no—
567C22×C4C23×D314yes—
568C22×C4C23×D312yes—
569C22×C4C23×D312yes—
570C22×C4C23×D312yes—
571C4⋊C4—28no—
572C4⋊C4—68no—
573C4⋊C4—64no—
574C4⋊C4—64no—
575C4⋊C4—68no—
576C4⋊C4—124no—
577C4⋊C4—124no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—42no—
582C22⋊C4—44no—
583C22⋊C4—42no—
584C22⋊C4—44no—
585C22⋊C4—64no—
586C22⋊C4—64no—
587C22⋊C4—68no—
588C22⋊C4—68no—
589C22⋊C4—64no—
590C22⋊C4—64no—
591C22⋊C4—64no—
592C22⋊C4—64no—
593C22⋊C4—64no—
594C22⋊C4—122no—
595C22⋊C4—124no—
596C22⋊C4—122no—
597C22⋊C4—124no—
598C42—64no—
599C42—64no—
600C22×C3—22no—
601C22×C3—22no—
602C22×C3—28no—
603C22×C3—22no—
604C22×C3—22no—
605C22×C3—22no—
606C22×C3—22no—
607C22×C3—22no—
608C22×C3—22no—
609C22×C3—44no—
610C22×C3—44no—
611C22×C3—42no—
612C22×C3—42no—
613C22×C3—42no—
614C22×C3—44no—
615C22×C3—44no—
616C22×C3—88no—
617C22×C3—88no—
618C22×C3C2×#12314yes—
619C22×C3C23×D411yescharacteristic
620C22×C3C22×#4112yes—
621C22×C3C2×H(5,𝔽2)12yes—
622C22×C3#58512yes—
623C2×D3—24no—
624C2×D3—24no—
625C2×D3—28no—
626C2×D3—28no—
627C2×D3—416no—
628C2×D3C2×#12318yes—
629C3×C4—24no—
630C3×C4—42no—
631C3×C4—42no—
632C3×C4—44no—
633Dic3—24no—
634Dic3—42no—
635Dic3—42no—
636Dic3—42no—
637Dic3—42no—
638Dic3—44no—
639C23—22no—
640C23—22no—
641C23—22no—
642C23—22no—
643C23—22no—
644C23—22no—
645C23—22no—
646C23—22no—
647C23—28no—
648C23—22no—
649C23—22no—
650C23—22no—
651C23—24no—
652C23—24no—
653C23—34no—
654C23—34no—
655C23—34no—
656C23—316no—
657C23—44no—
658C23—44no—
659C23—44no—
660C23—44no—
661C23—44no—
662C23—64no—
663C23—64no—
664C23—88no—
665C23—88no—
666C23—124no—
667C23—124no—
668C23—1216no—
669C23C2×D3×D412yes—
670C23C2×D3×D412yes—
671C23C2×D3×D412yes—
672C23D3×#4114yes—
673C23C24×D311yescharacteristic
674D4—48no—
675D4—48no—
676D4—616no—
677D4—616no—
678D4—1216no—
679C2×C4—28no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—34no—
690C2×C4—68no—
691C2×C4—62no—
692C2×C4—62no—
693C2×C4—62no—
694C2×C4—62no—
695C2×C4—62no—
696C2×C4—62no—
697C2×C4—64no—
698C2×C4—64no—
699C2×C4—64no—
700C2×C4—64no—
701C2×C4—64no—
702C2×C4—64no—
703C2×C4—64no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4—1216no—
707C2×C4—1216no—
708C2×C4—124no—
709C2×C4—124no—
710C2×C4—244no—
711C2×C4—244no—
712C2×C4—242no—
713C2×C4—242no—
714C2×C4#100414yes—
715C2×C3—24no—
716C2×C3—42no—
717C2×C3—42no—
718C2×C3—82no—
719C2×C3C22×#12311yescharacteristic
720C2×C3#348411yescharacteristic
721C2×C3#348511yescharacteristic
722C2×C3#350514yes—
723D3—28no—
724C22—22no—
725C22—28no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—38no—
734C22—44no—
735C22—44no—
736C22—42no—
737C22—44no—
738C22—44no—
739C22—42no—
740C22—42no—
741C22—64no—
742C22—68no—
743C22—68no—
744C22—64no—
745C22—88no—
746C22—88no—
747C22—1216no—
748C22D3×#12314yes—
749C22C22×D3×D411yescharacteristic
750C22C2×#100412yes—
751C22C2×D3×#4112yes—
752C22#596612yes—
753C4—24no—
754C4—42no—
755C4—44no—
756C4—42no—
757C4—64no—
758C4—122no—
759C4—124no—
760C4—122no—
761C4—122no—
762C4—122no—
763C3#3535111yescharacteristic, complemented, Sylow
764C2—24no—
765C2—42no—
766C2—42no—
767C2—68no—
768C2—82no—
769C2#8591911yescharacteristic
770C2C2×D3×#12311yescharacteristic
771C2#8629611yescharacteristic
772C2#8666614yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2405C2
prime radicalC22×#938C2
hypercenter#2405D3
hypocenterC3#35351
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
2. C2×#5486C2semidirect
3. C3×#2405C2semidirect
4. #84047C2semidirect
5. #82897C2semidirect
6. #82114C2semidirect
7. #77118C2semidirect
8. #77117C2semidirect
9. #74897C2semidirect
10. D3×#385C2semidirect
11. #74456C2semidirect
12. #73849C2semidirect
13. #73849C2semidirect
14. #73833C2semidirect
15. #73832C2semidirect
21. C2×C3×#123C22semidirect
29. C2×#935C22semidirect
30. C2×C4×#67C22semidirect
31. C2×C4×#67C22semidirect
33. C2×D3×C4⋊C4C22semidirect
35. C2×#67⋊C4C22semidirect
36. C2×#67⋊C4C22semidirect
40. C3×#394C22semidirect
41. C3×#386C22semidirect
47. #5222C22semidirect
48. #5220C22semidirect
49. #5211C22semidirect
51. #5210C22semidirect
52. #4989C22semidirect
53. #4982C22semidirect
54. #4980C22semidirect
55. #4956C22semidirect
56. #4956C22semidirect
57. #4956C22semidirect
58. #4956C22semidirect
59. #4956C22semidirect
60. #4956C22semidirect
61. #4953C22semidirect
62. #4952C22semidirect
63. #4952C22semidirect
64. #4951C22semidirect
66. #4950C22semidirect
67. #4949C22semidirect
69. #4945C22semidirect
73. #4943C22semidirect
74. #4668C22semidirect
75. D3×#95C22semidirect
76. #4660C22semidirect
77. #4655C22semidirect
89. #2405D3semidirect
182. C2×#123C2×D3semidirect
207. #394C2×D3semidirect
219. #386C2×D3semidirect
454. C22×D3#123semidirect
763. C3#35351semidirect

Maximal subgroups

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

subgroupindex
C22×#9382
C2×#54862
C3×#24052
#840472
#828972
#821142
#771182
#771172
#748972
D3×#3852
#744562
#738492
#738332
#738322
#353513