Finite Group Databasebeta

← #10975345

Subgroups — #10975345

Order 768.

2742 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
1C22×C3×#123C211yesmaximal, characteristic, complemented
2C2×#5494C211yesmaximal, characteristic, complemented
3#84048C212yesmaximal, complemented
4C4×#953C212yesmaximal, complemented
5#82862C214yesmaximal, complemented
6#82860C214yesmaximal, complemented
7#82853C214yesmaximal, complemented
8#82845C214yesmaximal, complemented
9#82180C211yesmaximal, characteristic, complemented
10#82178C211yesmaximal, characteristic, complemented
11#82158C212yesmaximal, complemented
12#82116C211yesmaximal, characteristic, complemented
13#82115C211yesmaximal, characteristic, complemented
14#82107C212yesmaximal, complemented
15#82083C211yesmaximal, characteristic, complemented
16#35394—31nomaximal, Sylow
17C23×C3×D4C2211yescharacteristic
18C24×C3×C4C2211yescharacteristic
19C2×C3×#123—28no—
20C2×C3×#123C2214yes—
21C2×C3×#123C2214yes—
22C22×C3×C4⋊C4C2211yescharacteristic
23C22×C3×C4⋊C4C2211yescharacteristic
24C22×C3×C22⋊C4C2211yescharacteristic
25C22×C3×C22⋊C4C2211yescharacteristic
26C22×C3×C22⋊C4C2211yescharacteristic
27C2×#953C2212yes—
28C2×#953C2212yes—
29C22×#217C2212yes—
30C2×#939C2214yes—
31C2×#930C2211yescharacteristic
32C2×#929C2212yes—
33C2×C4×#67C2212yes—
34C2×C4×#67C2214yescomplemented
35C2×#924C2211yescharacteristic
36#5494—28no—
37C2×#885C2212yescomplemented
38C2×#884C2212yescomplemented
39C2×#883C2212yescomplemented
40C2×#879C2212yescomplemented
41#5247C2212yes—
42#5223C2214yes—
43#5222C2214yes—
44#5220C2214yes—
45#5213C2212yes—
46#5213C2212yes—
47#5213C2214yescomplemented
48#5211C2212yes—
49#5210C2212yes—
50#5210C2212yes—
51#5210C2214yescomplemented
52C4×#217C2211yescharacteristic
53C4×#217C2211yescharacteristic
54C4×#217C2212yes—
55C4×#217C2214yescomplemented
56#4992C2214yescomplemented
57#4990C2214yescomplemented
58#4989C2214yescomplemented
59#4988C2212yescomplemented
60#4983C2214yescomplemented
61#4978C2214yescomplemented
62#4977C2212yescomplemented
63#4976C2214yescomplemented
64#4975C2212yescomplemented
65#4973C2212yescomplemented
66#4960C2212yescomplemented
67#4959C2214yescomplemented
68#4958C2214yescomplemented
69#4957C2214yescomplemented
70#4953C2212yescomplemented
71#4952C2214yescomplemented
72#4949C2212yescomplemented
73#4947C2212yescomplemented
74#4945C2214yescomplemented
75#4942C2214yescomplemented
76Dic3×C22⋊C4C2214yescomplemented
77Dic3×C22⋊C4C2214yescomplemented
78C2×#538—31no—
79C22×#123D311yescharacteristic, complemented
80#2561—31no—
81#2557—34no—
82#2553—34no—
83#2539—31no—
84#2504—31no—
85#2502—31no—
86#2464—34no—
87#2422—34no—
88#2412—32no—
89#2410—32no—
90#2322—32no—
91C4×#120—32no—
92#2273—31no—
93C25×C3C2311yescharacteristic
94C25×C3C2311yescharacteristic
95C22×C3×D4—24no—
96C22×C3×D4—44no—
97C22×C3×D4C2314yes—
98C23×C3×C4—24no—
99C23×C3×C4—44no—
100C23×C3×C4C2311yescharacteristic
101C23×C3×C4C2314yes—
102C23×C3×C4C2311yescharacteristic
103C23×C3×C4C2311yescharacteristic
104C23×C3×C4C2311yescharacteristic
105C23×C3×C4C2311yescharacteristic
106C22×#67C2312yes—
107C22×#67C2314yes—
108C22×#67C2312yes—
109C22×#67C2312yes—
110C23×Dic3C2314yes—
111C22×D12C2311yescharacteristic
112C22×C4×D3C2312yes—
113C22×Dic6C2311yescharacteristic
114C3×#123—216no—
115C3×#123—216no—
116C2×C3×C4⋊C4—24no—
117C2×C3×C4⋊C4—24no—
118C2×C3×C4⋊C4C2312yes—
119C2×C3×C4⋊C4C2314yes—
120C2×C3×C4⋊C4C2312yes—
121C2×C3×C22⋊C4—24no—
122C2×C3×C22⋊C4—24no—
123C2×C3×C22⋊C4D418yescomplemented
124C2×C3×C22⋊C4C2314yes—
125C2×C3×C22⋊C4C2312yes—
126C2×C3×C22⋊C4C2312yes—
127C2×C3×C22⋊C4C2312yes—
128C2×C3×C22⋊C4C2312yes—
129#953—28no—
130#953—28no—
131C2×#217—28no—
132C2×#217C2314yes—
133C2×#217C2312yes—
134C2×#217C2314yes—
135C2×#217C2314yes—
136C2×#217C2312yes—
137C2×#217C2312yes—
138C2×#217C2312yes—
139C2×#217C2314yes—
140C2×#217C2312yes—
141#939—48no—
142#930—24no—
143#929—28no—
144C4×#67—28no—
145C4×#67—48no—
146C2×(C2×D3)⋊C4C2312yes—
147C2×(C2×D3)⋊C4C2314yes—
148C2×(C2×D3)⋊C4C2312yes—
149C2×(C2×D3)⋊C4C2314yes—
150C2×(C2×D3)⋊C4C2314yes—
151C2×C4⋊Dic3C2311yescharacteristic
152C2×C4⋊Dic3C2311yescharacteristic
153#924—24no—
154C2×Dic3⋊C4C2314yes—
155C2×Dic3⋊C4C2312yes—
156C2×Dic3⋊C4C2312yes—
157C2×Dic3⋊C4C2314yes—
158C2×Dic3⋊C4C2314yes—
159C2×C4×Dic3C2312yes—
160C2×C4×Dic3C2312yes—
161C2×C4×Dic3C2314yes—
162C2×C4×Dic3C2312yes—
163#885—28no—
164#884—28no—
165#883—28no—
166#879—28no—
167C3⋊#95C2312yes—
168C3⋊#95C2312yes—
169C3⋊#95C2314yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C3⋊#95C2314yes—
174C3⋊#95C2314yes—
175C3⋊#95C2314yes—
176C23×D4C2×D311yescharacteristic
177C24×C4C2×D311yescharacteristic
178#538—68no—
179C2×#126—32no—
180C2×#124—32no—
181C2×#123—28no—
182C2×#123—32no—
183C2×#123—32no—
184C2×#123C2×D314yes—
185C2×#123C2×D314yes—
186C2×C22⋊Q8—31no—
187C2×#121—31no—
188C2×#121—34no—
189C2×#121—32no—
190C2×#120—32no—
191C2×#120—32no—
192C2×C4×D4—32no—
193C2×C4×D4—34no—
194C22×C4⋊C4C2×D311yescharacteristic
195C22×C4⋊C4C2×D311yescharacteristic
196C22×C22⋊C4—32no—
197C22×C22⋊C4C2×D311yescharacteristic
198C22×C22⋊C4C2×D311yescharacteristic
199C22×C22⋊C4C2×D311yescharacteristic
200#399—32no—
201#398—34no—
202#397—34no—
203#397—32no—
204#397—34no—
205#394—34no—
206#394—34no—
207#393—32no—
208#392—34no—
209#392—32no—
210#391—32no—
211#390—32no—
212#390—34no—
213#389—34no—
214#388—34no—
215#388—34no—
216#387—34no—
217#386—34no—
218#386—32no—
219#386—32no—
220#386—34no—
221#386—34no—
222#385—32no—
223#385—32no—
224#385—34no—
225#385—34no—
226#384—32no—
227#382—32no—
228#381—32no—
229#380—34no—
230#379—32no—
231C4×C22⋊C4—31no—
232C4×C22⋊C4—32no—
233C4×C22⋊C4—31no—
234C4×C22⋊C4—34no—
235C4×C22⋊C4—34no—
236C4×C22⋊C4—34no—
237C24×C3—22no—
238C24×C3—24no—
239C24×C3—24no—
240C24×C3—24no—
241C24×C3—42no—
242C24×C3—42no—
243C24×C3—42no—
244C24×C3C2×D414yes—
245C24×C3C2412yes—
246C24×C3C2412yes—
247C24×C3C2411yescharacteristic
248C23×D3C2412yes—
249C2×C3×D4—28no—
250C2×C3×D4—28no—
251C2×C3×D4—44no—
252C2×C3×D4—416no—
253C22×C3×C4—22no—
254C22×C3×C4—22no—
255C22×C3×C4—22no—
256C22×C3×C4—24no—
257C22×C3×C4—28no—
258C22×C3×C4—28no—
259C22×C3×C4—42no—
260C22×C3×C4—44no—
261C22×C3×C4—42no—
262C22×C3×C4—42no—
263C22×C3×C4—42no—
264C22×C3×C4—416no—
265C22×C3×C4C2×D414yes—
266C22×C3×C4C2×D414yes—
267C22×C3×C4C2412yes—
268C22×C3×C4C2412yes—
269C22×C3×C4C2412yes—
270C22×C3×C4C2412yes—
271C22×C3×C4C2411yescharacteristic
272C22×C3×C4C2411yescharacteristic
273C2×#67—24no—
274C2×#67—24no—
275C2×#67—24no—
276C2×#67—28no—
277C2×#67—24no—
278C2×#67—24no—
279C2×#67—28no—
280C2×#67—44no—
281C2×#67—44no—
282C2×#67—44no—
283C22×Dic3—28no—
284C22×Dic3—44no—
285C22×Dic3—44no—
286C22×Dic3C2414yes—
287C22×Dic3C2412yes—
288C22×Dic3C2412yes—
289C22×Dic3C2412yes—
290C22×Dic3C2414yes—
291C2×D12—22no—
292C2×D12—42no—
293C2×C4×D3—24no—
294C2×C4×D3—44no—
295C2×Dic6—22no—
296C2×Dic6—42no—
297C3×C4⋊C4—28no—
298C3×C4⋊C4—24no—
299C3×C4⋊C4—24no—
300C3×C22⋊C4—28no—
301C3×C22⋊C4—24no—
302C3×C22⋊C4—24no—
303C3×C22⋊C4C2×D418yes—
304C3×C22⋊C4C2×D418yes—
305#217—24no—
306#217—24no—
307#217—24no—
308#217—24no—
309#217—28no—
310#217—28no—
311#217—28no—
312#217—44no—
313#217#4118yes—
314(C2×D3)⋊C4—24no—
315(C2×D3)⋊C4—24no—
316(C2×D3)⋊C4—28no—
317(C2×D3)⋊C4—44no—
318(C2×D3)⋊C4—44no—
319C4⋊Dic3—22no—
320C4⋊Dic3—22no—
321Dic3⋊C4—24no—
322Dic3⋊C4—24no—
323Dic3⋊C4—28no—
324Dic3⋊C4—44no—
325Dic3⋊C4—44no—
326C4×Dic3—24no—
327C4×Dic3—42no—
328C4×Dic3—42no—
329C4×Dic3—44no—
330C25C22×D311yescharacteristic
331C25C22×D311yescharacteristic
332C22×Q8—31no—
333C22×D4—24no—
334C22×D4—32no—
335C22×D4—34no—
336C22×D4—32no—
337C22×D4—32no—
338C22×D4—31no—
339C22×D4—44no—
340C22×D4C22×D314yes—
341C23×C4—24no—
342C23×C4—34no—
343C23×C4—32no—
344C23×C4—44no—
345C23×C4C22×D311yescharacteristic
346C23×C4C22×D314yes—
347C23×C4C22×D311yescharacteristic
348C23×C4C22×D311yescharacteristic
349C23×C4C22×D311yescharacteristic
350C23×C4C22×D311yescharacteristic
351#126—68no—
352#124—68no—
353#123—216no—
354#123—216no—
355#123—68no—
356#123—68no—
357C22⋊Q8—64no—
358#121—64no—
359#121—68no—
360#121—128no—
361#120—68no—
362#120—68no—
363C4×D4—68no—
364C4×D4—128no—
365C2×C4⋊C4—24no—
366C2×C4⋊C4—24no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—31no—
370C2×C4⋊C4—31no—
371C2×C4⋊C4—34no—
372C2×C4⋊C4—34no—
373C2×C4⋊C4—34no—
374C2×C4⋊C4C22×D312yes—
375C2×C4⋊C4C22×D312yes—
376C2×C4⋊C4C22×D314yes—
377C2×C22⋊C4—24no—
378C2×C22⋊C4—24no—
379C2×C22⋊C4—32no—
380C2×C22⋊C4—32no—
381C2×C22⋊C4—34no—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—34no—
384C2×C22⋊C4—32no—
385C2×C22⋊C4—32no—
386C2×C22⋊C4—34no—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—34no—
390C2×C22⋊C4—34no—
391C2×C22⋊C4—34no—
392C2×C22⋊C4—34no—
393C2×C22⋊C4—68no—
394C2×C22⋊C4#6718yescomplemented
395C2×C22⋊C4C22×D314yes—
396C2×C22⋊C4C22×D312yes—
397C2×C22⋊C4C22×D312yes—
398C2×C22⋊C4C22×D312yes—
399C2×C22⋊C4C22×D312yes—
400C2×C42—32no—
401C2×C42—34no—
402C2×C42—32no—
403C2×C42—32no—
404#95—34no—
405#95—32no—
406#95—32no—
407#95—34no—
408#95—34no—
409#95—34no—
410#95—34no—
411#95—34no—
412#95—34no—
413C23×C3—22no—
414C23×C3—22no—
415C23×C3—28no—
416C23×C3—22no—
417C23×C3—22no—
418C23×C3—24no—
419C23×C3—22no—
420C23×C3—24no—
421C23×C3—22no—
422C23×C3—24no—
423C23×C3—24no—
424C23×C3—28no—
425C23×C3—44no—
426C23×C3—44no—
427C23×C3—416no—
428C23×C3—44no—
429C23×C3—44no—
430C23×C3—88no—
431C23×C3C22×D414yes—
432C23×C3C22×D412yes—
433C23×C3C2×#4114yes—
434C23×C3H(5,𝔽2)14yes—
435C23×C3C2511yescharacteristic
436C22×D3—22no—
437C22×D3—22no—
438C22×D3—22no—
439C22×D3—24no—
440C22×D3—24no—
441C3×D4—416no—
442C2×C3×C4—24no—
443C2×C3×C4—22no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—22no—
448C2×C3×C4—24no—
449C2×C3×C4—24no—
450C2×C3×C4—24no—
451C2×C3×C4—44no—
452C2×C3×C4—44no—
453C2×C3×C4—416no—
454C2×C3×C4—44no—
455C2×C3×C4—44no—
456C2×C3×C4—44no—
457C2×C3×C4C22×D414yes—
458C2×C3×C4C22×D412yes—
459C2×C3×C4C22×D412yes—
460#67—416no—
461#67—48no—
462#67—84no—
463#67—84no—
464C2×Dic3—24no—
465C2×Dic3—24no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—22no—
470C2×Dic3—24no—
471C2×Dic3—22no—
472C2×Dic3—24no—
473C2×Dic3—24no—
474C2×Dic3—24no—
475C2×Dic3—24no—
476C2×Dic3—88no—
477C2×Dic3C2×#4118yes—
478D12—82no—
479C4×D3—84no—
480Dic6—82no—
481C24—24no—
482C24—22no—
483C24—24no—
484C24—24no—
485C24—32no—
486C24—42no—
487C24—42no—
488C24—42no—
489C24C2×#6714yes—
490C24C23×D312yes—
491C24C23×D312yes—
492C24C23×D311yescharacteristic
493C2×Q8—62no—
494C2×Q8—122no—
495C2×D4—28no—
496C2×D4—28no—
497C2×D4—44no—
498C2×D4—416no—
499C2×D4—68no—
500C2×D4—68no—
501C2×D4—64no—
502C2×D4—64no—
503C2×D4—64no—
504C2×D4—64no—
505C2×D4—64no—
506C2×D4—62no—
507C2×D4—122no—
508C2×D4—124no—
509C2×D4—124no—
510C2×D4—124no—
511C22×C4—28no—
512C22×C4—24no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—28no—
517C22×C4—34no—
518C22×C4—34no—
519C22×C4—32no—
520C22×C4—32no—
521C22×C4—32no—
522C22×C4—42no—
523C22×C4—44no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—416no—
528C22×C4—68no—
529C22×C4—64no—
530C22×C4—124no—
531C22×C4—124no—
532C22×C4—124no—
533C22×C4C2×#6714yes—
534C22×C4C2×#6714yes—
535C22×C4C23×D312yes—
536C22×C4C23×D312yes—
537C22×C4C23×D312yes—
538C22×C4C23×D312yes—
539C22×C4C23×D311yescharacteristic
540C22×C4C23×D311yescharacteristic
541C4⋊C4—28no—
542C4⋊C4—24no—
543C4⋊C4—24no—
544C4⋊C4—68no—
545C4⋊C4—64no—
546C4⋊C4—64no—
547C4⋊C4—62no—
548C4⋊C4—62no—
549C4⋊C4—124no—
550C4⋊C4—124no—
551C22⋊C4—28no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—38no—
555C22⋊C4—68no—
556C22⋊C4—68no—
557C22⋊C4—68no—
558C22⋊C4—68no—
559C22⋊C4—64no—
560C22⋊C4—64no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C22⋊C4—64no—
565C22⋊C4—124no—
566C22⋊C4—124no—
567C22⋊C4—124no—
568C22⋊C4C2×#6718yes—
569C22⋊C4C2×#6718yes—
570C42—64no—
571C42—124no—
572C42—122no—
573C42—122no—
574C22×C3—22no—
575C22×C3—22no—
576C22×C3—28no—
577C22×C3—24no—
578C22×C3—24no—
579C22×C3—24no—
580C22×C3—24no—
581C22×C3—28no—
582C22×C3—416no—
583C22×C3—42no—
584C22×C3—42no—
585C22×C3—44no—
586C22×C3—44no—
587C22×C3—44no—
588C22×C3—88no—
589C22×C3#53214yes—
590C22×C3C23×D411yescharacteristic
591C22×C3C22×#4112yes—
592C22×C3C2×H(5,𝔽2)12yes—
593C22×C3#58512yes—
594C2×D3—42no—
595C2×D3—42no—
596C2×D3—42no—
597C2×D3—44no—
598C2×D3—44no—
599C3×C4—24no—
600C3×C4—22no—
601C3×C4—22no—
602C3×C4—42no—
603C3×C4—42no—
604C3×C4—42no—
605Dic3—28no—
606Dic3—42no—
607Dic3—42no—
608Dic3—42no—
609Dic3—44no—
610C23—22no—
611C23—22no—
612C23—28no—
613C23—22no—
614C23—24no—
615C23—22no—
616C23—24no—
617C23—22no—
618C23—24no—
619C23—24no—
620C23—22no—
621C23—28no—
622C23—44no—
623C23—44no—
624C23—416no—
625C23—44no—
626C23—44no—
627C23—64no—
628C23—62no—
629C23—62no—
630C23—64no—
631C23—62no—
632C23—88no—
633C23#100414yes—
634C23D3×#4114yes—
635C23C22×#6714yes—
636C23C22×#6712yes—
637C23C24×D311yescharacteristic
638Q8—242no—
639D4—416no—
640D4—1216no—
641D4—128no—
642D4—242no—
643D4—244no—
644D4—244no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—38no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—416no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—64no—
662C2×C4—64no—
663C2×C4—64no—
664C2×C4—64no—
665C2×C4—64no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—64no—
669C2×C4—64no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—62no—
673C2×C4—244no—
674C2×C4—248no—
675C2×C4C22×#6714yes—
676C2×C4C22×#6712yes—
677C2×C4C22×#6712yes—
678C2×C3—24no—
679C2×C3—44no—
680C2×C3—44no—
681C2×C3C2×#53211yescharacteristic
682C2×C3#348411yescharacteristic
683C2×C3#348511yescharacteristic
684C2×C3#351314yes—
685D3—82no—
686C22—22no—
687C22—22no—
688C22—28no—
689C22—24no—
690C22—24no—
691C22—24no—
692C22—24no—
693C22—28no—
694C22—416no—
695C22—42no—
696C22—42no—
697C22—44no—
698C22—44no—
699C22—44no—
700C22—88no—
701C22—122no—
702C22—122no—
703C22—122no—
704C22—124no—
705C22—124no—
706C22#583214yes—
707C22C2×#100412yes—
708C22C2×D3×#4112yes—
709C22#596412yes—
710C22C23×#6711yescharacteristic
711C4—24no—
712C4—22no—
713C4—22no—
714C4—42no—
715C4—42no—
716C4—42no—
717C4—68no—
718C4—122no—
719C4—122no—
720C4—122no—
721C4—124no—
722C3#3539411yescharacteristic, complemented, Sylow
723C2—24no—
724C2—44no—
725C2—44no—
726C2—242no—
727C2#8601314yes—
728C2#8723911yescharacteristic
729C2C2×#583211yescharacteristic
730C2#8727311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC22×C3×#123C2
hypercenterC22×#123D3
hypocenterC3#35394
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C22×#123

Complements

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

NH ≅ G/Ntype
1. C22×C3×#123C2semidirect
2. C2×#5494C2semidirect
3. #84048C2semidirect
4. C4×#953C2semidirect
5. #82862C2semidirect
6. #82860C2semidirect
7. #82853C2semidirect
8. #82845C2semidirect
9. #82180C2semidirect
10. #82178C2semidirect
11. #82158C2semidirect
12. #82116C2semidirect
13. #82115C2semidirect
14. #82107C2semidirect
15. #82083C2semidirect
34. C2×C4×#67C22semidirect
37. C2×#885C22semidirect
38. C2×#884C22semidirect
39. C2×#883C22semidirect
40. C2×#879C22semidirect
47. #5213C22semidirect
51. #5210C22semidirect
55. C4×#217C22semidirect
56. #4992C22semidirect
57. #4990C22semidirect
58. #4989C22semidirect
59. #4988C22semidirect
60. #4983C22semidirect
61. #4978C22semidirect
62. #4977C22semidirect
63. #4976C22semidirect
64. #4975C22semidirect
65. #4973C22semidirect
66. #4960C22semidirect
67. #4959C22semidirect
68. #4958C22semidirect
69. #4957C22semidirect
70. #4953C22semidirect
71. #4952C22semidirect
72. #4949C22semidirect
73. #4947C22semidirect
74. #4945C22semidirect
75. #4942C22semidirect
76. Dic3×C22⋊C4C22semidirect
77. Dic3×C22⋊C4C22semidirect
79. C22×#123D3semidirect
123. C2×C3×C22⋊C4D4semidirect
394. C2×C22⋊C4#67semidirect
722. C3#35394semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#1232
C2×#54942
#840482
C4×#9532
#828622
#828602
#828532
#828452
#821802
#821782
#821582
#821162
#821152
#821072
#820832
#353943