Finite Group Databasebeta

← #11069147

Subgroups — #11069147

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×#5561C212yesmaximal, complemented
2C3×#2366C211yesmaximal, characteristic, complemented
3#83192C211yesmaximal, characteristic
4#83179C211yesmaximal, characteristic, complemented
5#82406C212yesmaximal, complemented
6#82379C212yesmaximal, complemented
7#82362C212yesmaximal, complemented
8#76458C212yesmaximal, complemented
9#76452C212yesmaximal, complemented
10#76339C212yesmaximal, complemented
11#76320C212yesmaximal, complemented
12#74914C214yesmaximal, complemented
13#74826C214yesmaximal, complemented
14C4×#897C211yesmaximal, characteristic, complemented
15#73753C211yesmaximal, characteristic, complemented
16#73715C211yesmaximal, characteristic, complemented
17C4⋊C4×Dic6C211yesmaximal, characteristic, complemented
18#39351—31nomaximal, Sylow
19C2×C3×#127C2211yescharacteristic
20C2×C3×C4×D4C2212yes—
21C2×C3×C4×D4C2212yes—
22C2×#938C2212yes—
23C2×#938C2212yes—
24C2×#938C2212yes—
25C2×#936C2212yes—
26C2×#929C2214yes—
27C2×#924C2214yes—
28C2×#924C2214yes—
29#5561—216no—
30C2×#897C2211yescharacteristic
31C2×#888C2212yes—
32C2×#885C2214yes—
33C2×#879C2214yes—
34C2×#872C2212yes—
35C2×C42×D3C2211yescharacteristic
36C2×#869C2212yes—
37C2×C4×Dic6C2212yes—
38C2×C4×Dic6C2211yescharacteristic
39C3×#390C2212yes—
40C3×#390C2212yes—
41C3×#386C2214yes—
42C3×C4×C4⋊C4C2211yescharacteristic
43C3×C4×C4⋊C4C2211yescharacteristic
44#5222C2214yes—
45#5221C2212yes—
46#5221C2212yes—
47#5221C2212yes—
48#5221C2212yes—
49#5221C2212yes—
50#5221C2212yes—
51#5210C2214yes—
52#4987C2211yescharacteristic
53#4987C2211yescharacteristic
54#4987C2211yescharacteristic
55#4984C2211yescharacteristic
56#4984C2212yes—
57#4975C2211yescharacteristic
58#4975C2211yescharacteristic
59#4975C2212yes—
60Dic3×C4⋊C4C2212yes—
61#4973C2211yescharacteristic
62#4961C2214yes—
63#4959C2214yes—
64#4952C2214yes—
65#4952C2214yes—
66#4951C2214yes—
67#4949C2214yes—
68#4949C2214yes—
69#4948C2214yes—
70#4947C2214yes—
71#4945C2214yes—
72C4×(C2×D3)⋊C4C2212yes—
73#4935C2211yescharacteristic
74C4×C4⋊Dic3C2211yescharacteristic
75C4×C4⋊Dic3C2212yes—
76C4×Dic3⋊C4C2212yes—
77#4928C2212yes—
78#4928C2212yes—
79#4668C2212yes—
80#4667C2212yes—
81#4656C2214yes—
82#4653C2212yes—
83#4650C2212yes—
84#4647C2214yes—
85C2×#542—32no—
86#2856—31no—
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#2366D311yescharacteristic, complemented
99Q8×C4⋊C4—31no—
100C4×C22⋊Q8—31no—
101#2285—31no—
102C22×C3×D4C2312yes—
103C22×C3×D4C2312yes—
104C22×C3×D4C2312yes—
105C23×C3×C4C2314yes—
106C22×#67C2314yes—
107C22×C4×D3C2311yescharacteristic
108C22×C4×D3C2311yescharacteristic
109C22×C4×D3C2311yescharacteristic
110C22×Dic6C2311yescharacteristic
111C22×Dic6C2314yes—
112C3×#127—24no—
113C3×C4×D4—28no—
114C3×C4×D4—44no—
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2311yescharacteristic
117C2×C3×C4⋊C4C2311yescharacteristic
118C2×C3×C4⋊C4C2311yescharacteristic
119C2×C3×C22⋊C4C2314yes—
120C2×C3×C22⋊C4C2314yes—
121C2×C3×C22⋊C4C2314yes—
122C2×C3×C42C2312yes—
123C2×C3×C42C2312yes—
124C2×C3×C42C2311yescharacteristic
125C2×#217C2314yes—
126C2×#217C2314yes—
127C2×#217C2314yes—
128C2×#217C2314yes—
129C2×#217C2314yes—
130C2×#217C2314yes—
131C2×#217C2314yes—
132#938—28no—
133#938—44no—
134#938—44no—
135#936—28no—
136#929—216no—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×(C2×D3)⋊C4C2312yes—
140C2×(C2×D3)⋊C4C2312yes—
141C2×C4⋊Dic3C2312yes—
142C2×C4⋊Dic3C2311yescharacteristic
143C2×C4⋊Dic3C2311yescharacteristic
144C2×C4⋊Dic3C2312yes—
145C2×C4⋊Dic3C2312yes—
146C2×C4⋊Dic3C2311yescharacteristic
147C2×C4⋊Dic3C2312yes—
148C2×C4⋊Dic3C2314yes—
149C2×C4⋊Dic3C2312yes—
150#924—216no—
151#924—48no—
152C2×Dic3⋊C4C2312yes—
153C2×Dic3⋊C4C2314yes—
154C2×Dic3⋊C4C2312yes—
155C2×Dic3⋊C4C2312yes—
156C2×Dic3⋊C4C2314yes—
157C2×Dic3⋊C4C2312yes—
158C2×Dic3⋊C4C2314yes—
159C2×Dic3⋊C4C2312yes—
160C2×C4×Dic3C2314yes—
161C2×C4×Dic3C2311yescharacteristic
162C2×C4×Dic3C2311yescharacteristic
163C2×C4×Dic3C2312yes—
164C2×C4×Dic3C2311yescharacteristic
165C2×C4×Dic3C2312yes—
166#897D418yescomplemented
167#888—28no—
168#885—216no—
169#879—216no—
170#872—28no—
171C42×D3—24no—
172#869—44no—
173C4×Dic6—28no—
174C4×Dic6—24no—
175C3×#95C2312yes—
176C3×#95C2312yes—
177C3⋊#95C2314yes—
178C3⋊#95C2312yes—
179C3⋊#95C2312yes—
180C3⋊#95C2312yes—
181C3⋊#95C2312yes—
182C3⋊#95C2312yes—
183C3⋊#95C2312yes—
184C3⋊#95C2314yes—
185C3⋊#95C2312yes—
186#542—616no—
187C2×C4⋊Q8—32no—
188C2×C4⋊Q8—32no—
189C2×#127C2×D311yescharacteristic
190C2×#126—34no—
191C2×#124—32no—
192C2×#124—34no—
193C2×#123—34no—
194C2×C22⋊Q8—34no—
195C2×C22⋊Q8—34no—
196C2×C22⋊Q8—31no—
197C2×#121—32no—
198C2×#121—32no—
199C2×#121—32no—
200C2×C4×Q8—32no—
201C2×C4×Q8—31no—
202C2×C4×D4C2×D312yes—
203C2×C4×D4C2×D312yes—
204C2×#117—32no—
205C22×C42—31no—
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#390—32no—
223#390C2×D312yes—
224#390C2×D312yes—
225#389—32no—
226#389—31no—
227#389—32no—
228#389—32no—
229#389—34no—
230#388—34no—
231#388—34no—
232#387—32no—
233#386C2×D314yes—
234#385—34no—
235#385—32no—
236#384—32no—
237#384—31no—
238#384—31no—
239#384—31no—
240#382—32no—
241#380—31no—
242#380—31no—
243#380—31no—
244#380—32no—
245C4×C4⋊C4—32no—
246C4×C4⋊C4—32no—
247C4×C4⋊C4—32no—
248C4×C4⋊C4—31no—
249C4×C4⋊C4C2×D311yescharacteristic
250C4×C4⋊C4C2×D311yescharacteristic
251C4×C22⋊C4—32no—
252C24×C3C2414yes—
253C23×D3C2411yescharacteristic
254C2×C3×D4—24no—
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—42no—
262C2×C3×D4—42no—
263C22×C3×C4—28no—
264C22×C3×C4—44no—
265C22×C3×C4—44no—
266C22×C3×C4C2412yes—
267C22×C3×C4C2412yes—
268C22×C3×C4C2412yes—
269C22×C3×C4C2412yes—
270C22×C3×C4C2411yescharacteristic
271C22×C3×C4C2411yescharacteristic
272C22×C3×C4C2411yescharacteristic
273C2×#67—28no—
274C2×#67—44no—
275C2×#67—44no—
276C22×Dic3C2411yescharacteristic
277C22×Dic3C2412yes—
278C22×Dic3C2412yes—
279C22×Dic3C2414yes—
280C22×Dic3C2412yes—
281C22×Dic3C2412yes—
282C22×Dic3C2411yescharacteristic
283C22×Dic3C2411yescharacteristic
284C2×C4×D3—22no—
285C2×C4×D3—22no—
286C2×C4×D3—22no—
287C2×C4×D3—22no—
288C2×C4×D3—22no—
289C2×C4×D3—22no—
290C2×C4×D3—22no—
291C2×C4×D3—41no—
292C2×C4×D3C2×D414yes—
293C2×Dic6—22no—
294C2×Dic6—22no—
295C2×Dic6—28no—
296C2×Dic6—44no—
297C2×Dic6—44no—
298C2×Dic6C2×D414yes—
299C3×C4⋊C4—22no—
300C3×C4⋊C4—22no—
301C3×C4⋊C4—22no—
302C3×C4⋊C4C2×D414yes—
303C3×C22⋊C4—28no—
304C3×C22⋊C4—44no—
305C3×C22⋊C4—44no—
306C3×C42—24no—
307C3×C42—24no—
308C3×C42#4114yes—
309#217—28no—
310#217—28no—
311#217—28no—
312#217—28no—
313#217—44no—
314#217—44no—
315#217—44no—
316(C2×D3)⋊C4—24no—
317(C2×D3)⋊C4—24no—
318(C2×D3)⋊C4—42no—
319(C2×D3)⋊C4C2×D418yes—
320C4⋊Dic3—24no—
321C4⋊Dic3—22no—
322C4⋊Dic3—22no—
323C4⋊Dic3—24no—
324C4⋊Dic3—22no—
325C4⋊Dic3—24no—
326C4⋊Dic3—44no—
327C4⋊Dic3—42no—
328C4⋊Dic3C2×D418yes—
329Dic3⋊C4—28no—
330Dic3⋊C4—24no—
331Dic3⋊C4—28no—
332Dic3⋊C4—24no—
333Dic3⋊C4—24no—
334Dic3⋊C4—24no—
335Dic3⋊C4—42no—
336Dic3⋊C4—44no—
337C4×Dic3—24no—
338C4×Dic3—24no—
339C4×Dic3—22no—
340C4×Dic3—22no—
341C4×Dic3—22no—
342C4×Dic3—28no—
343C22×Q8—31no—
344C22×Q8—34no—
345C22×D4—34no—
346C22×D4C22×D312yes—
347C22×D4C22×D312yes—
348C22×D4C22×D312yes—
349C23×C4—31no—
350C23×C4—31no—
351C23×C4—31no—
352C23×C4C22×D314yes—
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—68no—
364#121—124no—
365#121—124no—
366C4×Q8—68no—
367C4×Q8—64no—
368C4×D4—28no—
369C4×D4—44no—
370#117—68no—
371C2×C4⋊C4—32no—
372C2×C4⋊C4—32no—
373C2×C4⋊C4—32no—
374C2×C4⋊C4—32no—
375C2×C4⋊C4—34no—
376C2×C4⋊C4—31no—
377C2×C4⋊C4—32no—
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—32no—
385C2×C4⋊C4—34no—
386C2×C4⋊C4—34no—
387C2×C4⋊C4—32no—
388C2×C4⋊C4C22×D311yescharacteristic
389C2×C4⋊C4C22×D311yescharacteristic
390C2×C4⋊C4C22×D311yescharacteristic
391C2×C4⋊C4C22×D311yescharacteristic
392C2×C22⋊C4—32no—
393C2×C22⋊C4—34no—
394C2×C22⋊C4—34no—
395C2×C22⋊C4—34no—
396C2×C22⋊C4—34no—
397C2×C22⋊C4—32no—
398C2×C22⋊C4—32no—
399C2×C22⋊C4—34no—
400C2×C22⋊C4—34no—
401C2×C22⋊C4—34no—
402C2×C22⋊C4—32no—
403C2×C22⋊C4C22×D314yes—
404C2×C22⋊C4C22×D314yes—
405C2×C22⋊C4C22×D314yes—
406C2×C42—32no—
407C2×C42—34no—
408C2×C42—32no—
409C2×C42—31no—
410C2×C42—31no—
411C2×C42—31no—
412C2×C42—64no—
413C2×C42C22×D312yes—
414C2×C42C22×D312yes—
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—34no—
424#95—34no—
425#95C22×D312yes—
426#95C22×D312yes—
427C23×C3—24no—
428C23×C3—24no—
429C23×C3—24no—
430C23×C3—24no—
431C23×C3—24no—
432C23×C3—24no—
433C23×C3—24no—
434C23×C3C2511yescharacteristic
435C22×D3—21no—
436C22×D3—21no—
437C22×D3—21no—
438C22×D3—21no—
439C22×D3—21no—
440C22×D3—21no—
441C22×D3C22×D412yes—
442C3×D4—48no—
443C3×D4—48no—
444C3×D4—84no—
445C2×C3×C4—22no—
446C2×C3×C4—21no—
447C2×C3×C4—22no—
448C2×C3×C4—21no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—22no—
452C2×C3×C4—22no—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—22no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—88no—
459C2×C3×C4C22×D414yes—
460C2×C3×C4C22×D412yes—
461C2×C3×C4C2×#4112yes—
462C2×C3×C4C2×#4112yes—
463C2×C3×C4C2×#4112yes—
464C2×C3×C4H(5,𝔽2)12yes—
465C2×C3×C42−1+412yes—
466C2×C3×C42−1+412yes—
467#67—88no—
468C2×Dic3—21no—
469C2×Dic3—21no—
470C2×Dic3—22no—
471C2×Dic3—22no—
472C2×Dic3—21no—
473C2×Dic3—21no—
474C2×Dic3—22no—
475C2×Dic3—24no—
476C2×Dic3—22no—
477C2×Dic3—21no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—24no—
482C2×Dic3—22no—
483C2×Dic3—24no—
484C2×Dic3—21no—
485C2×Dic3—22no—
486C2×Dic3—21no—
487C2×Dic3—22no—
488C2×Dic3—22no—
489C2×Dic3C22×D414yes—
490C2×Dic3C22×D412yes—
491C2×Dic3H(5,𝔽2)12yes—
492C4×D3—28no—
493C4×D3—44no—
494C4×D3—44no—
495Dic6—28no—
496Dic6—88no—
497C24—31no—
498C24C23×D314yes—
499C2×Q8—34no—
500C2×Q8—62no—
501C2×Q8—68no—
502C2×Q8—62no—
503C2×Q8—124no—
504C2×Q8—124no—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—24no—
510C2×D4—24no—
511C2×D4—24no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—68no—
515C2×D4—124no—
516C2×D4—124no—
517C22×C4—28no—
518C22×C4—32no—
519C22×C4—31no—
520C22×C4—31no—
521C22×C4—34no—
522C22×C4—31no—
523C22×C4—32no—
524C22×C4—32no—
525C22×C4—32no—
526C22×C4—34no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—62no—
530C22×C4—62no—
531C22×C4—62no—
532C22×C4—62no—
533C22×C4—62no—
534C22×C4—62no—
535C22×C4—62no—
536C22×C4—121no—
537C22×C4C23×D312yes—
538C22×C4C23×D312yes—
539C22×C4C23×D312yes—
540C22×C4C23×D311yescharacteristic
541C22×C4C23×D312yes—
542C22×C4C23×D311yescharacteristic
543C22×C4C23×D311yescharacteristic
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—38no—
548C4⋊C4—64no—
549C4⋊C4—64no—
550C4⋊C4—68no—
551C4⋊C4—64no—
552C4⋊C4—64no—
553C4⋊C4—64no—
554C4⋊C4—62no—
555C4⋊C4—64no—
556C4⋊C4—68no—
557C4⋊C4—64no—
558C4⋊C4—62no—
559C4⋊C4—62no—
560C4⋊C4—122no—
561C4⋊C4—124no—
562C4⋊C4—124no—
563C4⋊C4—122no—
564C4⋊C4D3×D414yes—
565C22⋊C4—28no—
566C22⋊C4—38no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—64no—
570C22⋊C4—64no—
571C22⋊C4—68no—
572C22⋊C4—68no—
573C22⋊C4—68no—
574C22⋊C4—68no—
575C22⋊C4—122no—
576C22⋊C4—124no—
577C22⋊C4—124no—
578C22⋊C4—124no—
579C42—24no—
580C42—24no—
581C42—68no—
582C42—62no—
583C42—62no—
584C42—62no—
585C42—64no—
586C42—64no—
587C42#23514yes—
588C22×C3—44no—
589C22×C3—44no—
590C22×C3—44no—
591C22×C3—44no—
592C22×C3—44no—
593C22×C3—44no—
594C22×C3—44no—
595C22×C3C23×D411yescharacteristic
596C22×C3C22×#4111yescharacteristic
597C22×C3C2×H(5,𝔽2)11yescharacteristic
598C22×C3C2×H(5,𝔽2)11yescharacteristic
599C22×C3C2×2−1+411yescharacteristic
600C22×C3C2×2−1+411yescharacteristic
601C22×C3#58511yescharacteristic
602C2×D3—22no—
603C2×D3—22no—
604C2×D3—22no—
605C2×D3—41no—
606C2×D3—41no—
607C2×D3—41no—
608C2×D3—41no—
609C3×C4—22no—
610C3×C4—24no—
611C3×C4—42no—
612C3×C4—42no—
613C3×C4—42no—
614C3×C4#54214yescomplemented
615C3×C4#54714yes—
616Dic3—24no—
617Dic3—22no—
618Dic3—22no—
619Dic3—41no—
620Dic3—42no—
621Dic3—42no—
622Dic3—42no—
623Dic3—44no—
624C23—24no—
625C23—24no—
626C23—24no—
627C23—24no—
628C23—24no—
629C23—24no—
630C23—24no—
631C23—32no—
632C23—61no—
633C23—61no—
634C23—61no—
635C23—61no—
636C23—61no—
637C23—61no—
638C23C24×D311yescharacteristic
639Q8—68no—
640Q8—248no—
641D4—48no—
642D4—48no—
643D4—84no—
644D4—248no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—34no—
659C2×C4—32no—
660C2×C4—32no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—62no—
664C2×C4—61no—
665C2×C4—62no—
666C2×C4—61no—
667C2×C4—68no—
668C2×C4—61no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—64no—
673C2×C4—61no—
674C2×C4—64no—
675C2×C4—62no—
676C2×C4—62no—
677C2×C4—61no—
678C2×C4—64no—
679C2×C4—62no—
680C2×C4—62no—
681C2×C4—62no—
682C2×C4—62no—
683C2×C4—88no—
684C2×C4—124no—
685C2×C4—124no—
686C2×C4C2×#23512yes—
687C2×C4C2×#23512yes—
688C2×C4C2×#23512yes—
689C2×C4C2×D3×D414yes—
690C2×C4C2×D3×D412yes—
691C2×C4#100412yes—
692C2×C4#101012yes—
693C2×C4#101012yes—
694C2×C3—84no—
695C2×C3C2×#54211yescharacteristic
696C2×C3C2×#54711yescharacteristic
697C2×C3#349411yescharacteristic
698C2×C3#349711yescharacteristic
699C2×C3#349811yescharacteristic
700C2×C3#355011yescharacteristic
701C2×C3#355411yescharacteristic
702D3—42no—
703C22—44no—
704C22—44no—
705C22—44no—
706C22—44no—
707C22—44no—
708C22—44no—
709C22—44no—
710C22—62no—
711C22—62no—
712C22—62no—
713C22—121no—
714C22—121no—
715C22—121no—
716C22—121no—
717C22C22×#23511yescharacteristic
718C22C22×D3×D411yescharacteristic
719C22C2×#100411yescharacteristic
720C22C2×#101011yescharacteristic
721C22C2×#101011yescharacteristic
722C22D3×H(5,𝔽2)11yescharacteristic
723C22#596611yescharacteristic
724C4—24no—
725C4—22no—
726C4—42no—
727C4—42no—
728C4—42no—
729C4—62no—
730C4—64no—
731C4—62no—
732C4—122no—
733C4—121no—
734C4—124no—
735C4—122no—
736C4—122no—
737C4#555114yes—
738C4#556114yescomplemented
739C3#3935111yescharacteristic, complemented, Sylow
740C2—84no—
741C2—122no—
742C2C2×#556111yescharacteristic
743C2C2×#555111yescharacteristic
744C2#8586911yescharacteristic
745C2#8660811yescharacteristic
746C2#8678411yescharacteristic
747C2#8678911yescharacteristic
748C2#8705811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2366C2
prime radical#83192C2
hypercenter#2366D3
hypocenterC3#39351
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2366

Complements

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

NH ≅ G/Ntype
1. C2×#5561C2semidirect
2. C3×#2366C2semidirect
4. #83179C2semidirect
5. #82406C2semidirect
6. #82379C2semidirect
7. #82362C2semidirect
8. #76458C2semidirect
9. #76452C2semidirect
10. #76339C2semidirect
11. #76320C2semidirect
12. #74914C2semidirect
13. #74826C2semidirect
14. C4×#897C2semidirect
15. #73753C2semidirect
16. #73715C2semidirect
17. C4⋊C4×Dic6C2semidirect
98. #2366D3semidirect
166. #897D4semidirect
614. C3×C4#542semidirect
738. C4#5561semidirect
739. C3#39351semidirect

Maximal subgroups

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

subgroupindex
C2×#55612
C3×#23662
#831922
#831792
#824062
#823792
#823622
#764582
#764522
#763392
#763202
#749142
#748262
C4×#8972
#737532
#737152
C4⋊C4×Dic62
#393513