Finite Group Databasebeta

← #11001036

Subgroups — #11001036

Order 768.

7538 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C4×D3C211yesmaximal, characteristic, complemented
2C2×#5656C212yesmaximal, complemented
3C2×#5586C211yesmaximal, characteristic, complemented
4C3×#2849C211yesmaximal, characteristic, complemented
5#84033C211yesmaximal, characteristic, complemented
6#82912C212yesmaximal, complemented
7#82612C211yesmaximal, characteristic, complemented
8#74935C214yesmaximal, complemented
9#74659C214yesmaximal, complemented
10#74655C214yesmaximal, complemented
11#74379C214yesmaximal, complemented
12#74146C212yesmaximal, complemented
13#74050C212yesmaximal, complemented
14#73861C211yesmaximal, characteristic, complemented
15#73817C211yesmaximal, characteristic, complemented
16#36614—31nomaximal, Sylow
17C25×D3C2211yescharacteristic
18C24×C3×C4C2211yescharacteristic
19C24×Dic3C2211yescharacteristic
20C22×#237C2211yescharacteristic, complemented
21C23×C4×D3—28no—
22C23×C4×D3—216no—
23C23×C4×D3C2214yes—
24C23×C4×D3C2214yes—
25C23×C4×D3C2212yes—
26C23×C4×D3C2212yes—
27C2×C3×#123C2212yescomplemented
28C2×C3×#120C2211yescharacteristic
29C2×#953C2211yescharacteristic
30C2×#939C2212yescomplemented
31C2×#937C2214yes—
32C2×#937C2212yes—
33C2×#935C2211yescharacteristic, complemented
34C2×D4×Dic3C2212yescomplemented
35C2×#929C2212yescomplemented
36#5656—216no—
37#5586—28no—
38C2×#896C2214yescomplemented
39C2×#893C2214yescomplemented
40C2×#886C2211yescharacteristic, complemented
41C2×#884C2214yescomplemented
42C2×#882C2214yes—
43C2×#882C2212yes—
44C2×#67⋊C4C2214yescomplemented
45C2×#67⋊C4C2212yescomplemented
46C2×#878C2212yescomplemented
47C2×#877C2211yescharacteristic, complemented
48C2×#877C2212yescomplemented
49C3×#386C2214yescomplemented
50C3×#385C2214yescomplemented
51C3×#381C2212yescomplemented
52C3×#379C2211yescharacteristic
53#5247C2211yescharacteristic
54#5213C2214yescomplemented
55#5211C2212yescomplemented
56#5210C2214yescomplemented
57#4989C2218yescomplemented
58#4956C2218yescomplemented
59#4955C2212yes—
60#4955C2212yes—
61#4955C2214yes—
62#4955C2214yes—
63#4943C2212yescomplemented
64#4942C2214yescomplemented
65Dic3×C22⋊C4C2214yescomplemented
66#4668C2218yescomplemented
67#4667C2218yescomplemented
68#4666C2218yescomplemented
69#4665C2218yescomplemented
70C25×C4—31no—
71C2×#525—32no—
72C2×#525—31no—
73#2849—32no—
74#2849—31no—
75#2849—32no—
76#2849D311yescharacteristic, complemented
77#2848—34no—
78#2847—34no—
79#2846—31no—
80#2846—31no—
81C4×#120—34no—
82C4×#120—34no—
83#2280—32no—
84#2280—31no—
85C25×C3C2311yescharacteristic
86C24×D3—24no—
87C24×D3—28no—
88C24×D3—216no—
89C24×D3C2312yes—
90C24×D3C2314yes—
91C22×C3×D4C2311yescharacteristic
92C22×C3×D4C2312yes—
93C23×C3×C4—24no—
94C23×C3×C4—28no—
95C23×C3×C4C2314yes—
96C23×C3×C4C2312yes—
97C22×#67C2311yescharacteristic
98C22×#67C2314yes—
99C22×#67C2312yes—
100C22×#67C2311yescharacteristic, complemented
101C23×Dic3—28no—
102C23×Dic3D418yescomplemented
103C23×Dic3C2312yes—
104C23×Dic3C2312yes—
105C23×Dic3C2311yescharacteristic
106C23×Dic3C2311yescharacteristic
107C23×Dic3C2311yescharacteristic, complemented
108C2×#237—28no—
109C2×#237—24no—
110C22×D12C2314yes—
111C22×C4×D3—2128no—
112C22×C4×D3—28no—
113C22×C4×D3—28no—
114C22×C4×D3—216no—
115C22×C4×D3—216no—
116C22×C4×D3—28no—
117C22×C4×D3—28no—
118C22×C4×D3—28no—
119C22×C4×D3—232no—
120C22×C4×D3—232no—
121C22×C4×D3D4116yescomplemented
122C22×C4×D3C2318yes—
123C22×C4×D3C2314yes—
124C22×C4×D3C2314yes—
125C22×C4×D3C2311yescharacteristic, complemented
126C22×Dic6C2311yescharacteristic, complemented
127C3×#123—28no—
128C3×#120—24no—
129C2×C3×C4⋊C4C2314yescomplemented
130C2×C3×C22⋊C4C2314yes—
131C2×C3×C22⋊C4C2312yes—
132C2×C3×C22⋊C4C2311yescharacteristic
133C2×C3×C22⋊C4C2312yes—
134C2×C3×C22⋊C4C2314yescomplemented
135#953—24no—
136C2×#217C2314yes—
137C2×#217C2312yes—
138C2×#217C2312yes—
139C2×#217C2311yescharacteristic
140C2×#217C2312yescomplemented
141#939—28no—
142#937—28no—
143#937—216no—
144#935—24no—
145D4×Dic3—28no—
146#929—28no—
147C2×(C2×D3)⋊C4C2318yes—
148C2×(C2×D3)⋊C4C2318yes—
149C2×(C2×D3)⋊C4C2314yes—
150C2×(C2×D3)⋊C4C2314yes—
151C2×(C2×D3)⋊C4C2312yescomplemented
152C2×(C2×D3)⋊C4C2314yescomplemented
153C2×C4⋊Dic3C2312yescomplemented
154C2×Dic3⋊C4C2312yescomplemented
155C2×Dic3⋊C4C2314yescomplemented
156C2×Dic3⋊C4C2314yescomplemented
157C2×Dic3⋊C4C2312yescomplemented
158C2×C4×Dic3C2312yescomplemented
159C2×C4×Dic3C2314yescomplemented
160#896—216no—
161#893—216no—
162#886—24no—
163#884—216no—
164#882—28no—
165#882—216no—
166#67⋊C4—28no—
167#67⋊C4—216no—
168#878—28no—
169#877—28no—
170#877—24no—
171C3×#95C2318yescomplemented
172C3⋊#95C2318yescomplemented
173C3⋊#95C2318yescomplemented
174C26—31no—
175C22×#41—31no—
176C24×C4—31no—
177C24×C4—32no—
178C24×C4—34no—
179C24×C4—32no—
180C24×C4—34no—
181C24×C4—68no—
182C24×C4—616no—
183C24×C4C2×D311yescharacteristic
184#525—68no—
185#525—616no—
186C2×#123—31no—
187C2×#123—32no—
188C2×#123—31no—
189C2×#123C2×D312yescomplemented
190C2×C22⋊Q8—34no—
191C2×C22⋊Q8—32no—
192C2×#121—32no—
193C2×#121—34no—
194C2×#120—31no—
195C2×#120—34no—
196C2×#120—32no—
197C2×#120—34no—
198C2×#120—32no—
199C2×#120C2×D311yescharacteristic
200C2×C4×D4—32no—
201C2×C4×D4—34no—
202C2×C4×D4—32no—
203C2×C4×D4—34no—
204C2×#117—32no—
205C2×#117—31no—
206#386—34no—
207#386—38no—
208#386—38no—
209#386C2×D314yescomplemented
210#385—34no—
211#385—38no—
212#385—38no—
213#385C2×D314yescomplemented
214#381—32no—
215#381—32no—
216#381C2×D312yescomplemented
217#380—34no—
218#380—38no—
219#379—31no—
220#379—34no—
221#379—34no—
222#379—32no—
223#379—32no—
224#379C2×D311yescharacteristic
225C4×C22⋊C4—34no—
226C4×C22⋊C4—38no—
227C24×C3—24no—
228C24×C3—28no—
229C24×C3C2×D414yes—
230C24×C3C2411yescharacteristic
231C24×C3C2411yescharacteristic
232C24×C3C2412yes—
233C23×D3—232no—
234C23×D3—264no—
235C23×D3—2128no—
236C23×D3—28no—
237C23×D3—24no—
238C23×D3—24no—
239C23×D3—28no—
240C23×D3—216no—
241C23×D3—216no—
242C23×D3—216no—
243C23×D3C2×D418yes—
244C23×D3#41116yescomplemented
245C23×D3C2411yescharacteristic
246C23×D3C2414yes—
247C2×C3×D4—24no—
248C2×C3×D4—22no—
249C2×C3×D4—24no—
250C2×C3×D4—28no—
251C22×C3×C4—232no—
252C22×C3×C4—28no—
253C22×C3×C4—24no—
254C22×C3×C4—24no—
255C22×C3×C4—216no—
256C22×C3×C4C2×D418yes—
257C22×C3×C4C2414yes—
258C22×C3×C4C2412yes—
259C22×C3×C4C2411yescharacteristic
260C22×C3×C4C2414yes—
261C2×#67—24no—
262C2×#67—24no—
263C2×#67—22no—
264C2×#67—28no—
265C2×#67—28no—
266C2×#67—216no—
267C2×#67—24no—
268C2×#67—22no—
269C22×Dic3—24no—
270C22×Dic3—232no—
271C22×Dic3—28no—
272C22×Dic3—28no—
273C22×Dic3—24no—
274C22×Dic3—22no—
275C22×Dic3C2×D418yes—
276C22×Dic3C2×D418yes—
277C22×Dic3C2×D414yes—
278C22×Dic3C2×D414yes—
279C22×Dic3C2×D418yes—
280C22×Dic3C2412yes—
281C22×Dic3C2414yes—
282C22×Dic3C2411yescharacteristic
283C22×Dic3C2412yes—
284C22×Dic3C2411yescharacteristic
285C22×Dic3C2411yescharacteristic
286#237—416no—
287C2×D12—28no—
288C2×D12—216no—
289C2×C4×D3—264no—
290C2×C4×D3—2128no—
291C2×C4×D3—2128no—
292C2×C4×D3—216no—
293C2×C4×D3—216no—
294C2×C4×D3—264no—
295C2×C4×D3—216no—
296C2×C4×D3—28no—
297C2×C4×D3—28no—
298C2×C4×D3—28no—
299C2×C4×D3—28no—
300C2×C4×D3—22no—
301C2×C4×D3—24no—
302C2×C4×D3C2×D4116yes—
303C2×C4×D3C2×D4116yes—
304C2×Dic6—22no—
305C2×Dic6—24no—
306C3×C4⋊C4—28no—
307C3×C22⋊C4—24no—
308C3×C22⋊C4—22no—
309C3×C22⋊C4—24no—
310C3×C22⋊C4—28no—
311C3×C22⋊C4—28no—
312#217—24no—
313#217—22no—
314#217—24no—
315#217—28no—
316#217—24no—
317(C2×D3)⋊C4—28no—
318(C2×D3)⋊C4—28no—
319(C2×D3)⋊C4—216no—
320(C2×D3)⋊C4—216no—
321(C2×D3)⋊C4—28no—
322(C2×D3)⋊C4—24no—
323C4⋊Dic3—24no—
324Dic3⋊C4—28no—
325Dic3⋊C4—24no—
326Dic3⋊C4—28no—
327Dic3⋊C4—24no—
328C4×Dic3—28no—
329C4×Dic3—24no—
330C25—32no—
331C25—34no—
332C25—68no—
333C25—616no—
334C25—64no—
335C25C22×D311yescharacteristic
336C2×#41—64no—
337C2×#41—68no—
338C22×Q8—31no—
339C22×D4—34no—
340C22×D4—32no—
341C22×D4—31no—
342C22×D4—31no—
343C22×D4—34no—
344C22×D4C22×D312yes—
345C22×D4C22×D311yescharacteristic
346C23×C4—24no—
347C23×C4—28no—
348C23×C4—31no—
349C23×C4—38no—
350C23×C4—32no—
351C23×C4—32no—
352C23×C4—31no—
353C23×C4—316no—
354C23×C4—34no—
355C23×C4—34no—
356C23×C4—31no—
357C23×C4—31no—
358C23×C4—38no—
359C23×C4—68no—
360C23×C4—68no—
361C23×C4—616no—
362C23×C4—616no—
363C23×C4—68no—
364C23×C4—632no—
365C23×C4—632no—
366C23×C4—68no—
367C23×C4—6128no—
368C23×C4—68no—
369C23×C4—68no—
370C23×C4C22×D314yes—
371C23×C4C22×D312yes—
372#123—28no—
373#123—64no—
374#123—64no—
375#123—68no—
376C22⋊Q8—68no—
377C22⋊Q8—616no—
378#121—616no—
379#121—68no—
380#120—24no—
381#120—68no—
382#120—616no—
383#120—68no—
384#120—616no—
385#120—64no—
386C4×D4—68no—
387C4×D4—616no—
388C4×D4—616no—
389C4×D4—68no—
390#117—64no—
391#117—68no—
392C2×C4⋊C4—34no—
393C2×C4⋊C4—32no—
394C2×C4⋊C4—32no—
395C2×C4⋊C4—34no—
396C2×C4⋊C4—32no—
397C2×C4⋊C4C22×D314yescomplemented
398C2×C22⋊C4—31no—
399C2×C22⋊C4—32no—
400C2×C22⋊C4—32no—
401C2×C22⋊C4—32no—
402C2×C22⋊C4—34no—
403C2×C22⋊C4—34no—
404C2×C22⋊C4—34no—
405C2×C22⋊C4—32no—
406C2×C22⋊C4—34no—
407C2×C22⋊C4—38no—
408C2×C22⋊C4—38no—
409C2×C22⋊C4C22×D312yes—
410C2×C22⋊C4C22×D311yescharacteristic
411C2×C22⋊C4C22×D312yes—
412C2×C22⋊C4C22×D314yes—
413C2×C22⋊C4C22×D314yescomplemented
414C2×C42—34no—
415C2×C42—32no—
416#95—38no—
417#95—38no—
418#95C22×D318yescomplemented
419C23×C3—232no—
420C23×C3—28no—
421C23×C3—216no—
422C23×C3—24no—
423C23×C3—24no—
424C23×C3—24no—
425C23×C3—21no—
426C23×C3—22no—
427C23×C3—24no—
428C23×C3C22×D414yes—
429C23×C3C22×D412yes—
430C23×C3C22×D414yes—
431C23×C3C2×#4118yes—
432C23×C3C2511yescharacteristic
433C22×D3—232no—
434C22×D3—2256no—
435C22×D3—264no—
436C22×D3—232no—
437C22×D3—232no—
438C22×D3—232no—
439C22×D3—216no—
440C22×D3—232no—
441C22×D3—24no—
442C22×D3—24no—
443C22×D3—28no—
444C22×D3—232no—
445C22×D3—264no—
446C22×D3—22no—
447C22×D3—21no—
448C22×D3—24no—
449C22×D3C22×D418yes—
450C22×D3C2×#41116yes—
451C3×D4—44no—
452C3×D4—48no—
453C2×C3×C4—232no—
454C2×C3×C4—216no—
455C2×C3×C4—24no—
456C2×C3×C4—24no—
457C2×C3×C4—22no—
458C2×C3×C4—24no—
459C2×C3×C4—21no—
460C2×C3×C4—22no—
461C2×C3×C4—24no—
462C2×C3×C4—28no—
463C2×C3×C4C22×D418yes—
464#67—44no—
465#67—48no—
466#67—416no—
467#67—44no—
468C2×Dic3—28no—
469C2×Dic3—24no—
470C2×Dic3—216no—
471C2×Dic3—216no—
472C2×Dic3—24no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—21no—
476C2×Dic3—24no—
477C2×Dic3—28no—
478C2×Dic3—44no—
479C2×Dic3#120116yescomplemented
480C2×Dic3C22×D414yes—
481C2×Dic3C22×D412yes—
482C2×Dic3C22×D414yes—
483C2×Dic3C22×D412yes—
484C2×Dic3C22×D414yes—
485D12—416no—
486C4×D3—264no—
487C4×D3—232no—
488C4×D3—232no—
489C4×D3—44no—
490Dic6—44no—
491C24—24no—
492C24—28no—
493C24—34no—
494C24—38no—
495C24—316no—
496C24—31no—
497C24—616no—
498C24—616no—
499C24—616no—
500C24—632no—
501C24—6128no—
502C24—664no—
503C24—68no—
504C24—64no—
505C24—64no—
506C24—68no—
507C24D3×D414yes—
508C24C23×D311yescharacteristic
509C24C23×D311yescharacteristic
510C24C23×D312yes—
511#41—1216no—
512C2×Q8—62no—
513C2×Q8—64no—
514C2×D4—24no—
515C2×D4—22no—
516C2×D4—24no—
517C2×D4—28no—
518C2×D4—68no—
519C2×D4—616no—
520C2×D4—64no—
521C2×D4—62no—
522C2×D4—68no—
523C2×D4—616no—
524C2×D4—64no—
525C2×D4—62no—
526C2×D4—64no—
527C2×D4—68no—
528C22×C4—232no—
529C22×C4—28no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—216no—
533C22×C4—34no—
534C22×C4—38no—
535C22×C4—31no—
536C22×C4—31no—
537C22×C4—38no—
538C22×C4—38no—
539C22×C4—34no—
540C22×C4—32no—
541C22×C4—316no—
542C22×C4—316no—
543C22×C4—32no—
544C22×C4—34no—
545C22×C4—31no—
546C22×C4—68no—
547C22×C4—68no—
548C22×C4—68no—
549C22×C4—68no—
550C22×C4—616no—
551C22×C4—664no—
552C22×C4—62no—
553C22×C4—64no—
554C22×C4—616no—
555C22×C4—6128no—
556C22×C4—6128no—
557C22×C4—664no—
558C22×C4—68no—
559C22×C4—68no—
560C22×C4—632no—
561C22×C4—64no—
562C22×C4—62no—
563C22×C4—64no—
564C22×C4—616no—
565C22×C4D3×D418yes—
566C22×C4C23×D314yes—
567C22×C4C23×D312yes—
568C22×C4C23×D311yescharacteristic
569C22×C4C23×D314yes—
570C4⋊C4—28no—
571C4⋊C4—68no—
572C4⋊C4—64no—
573C4⋊C4—64no—
574C4⋊C4—64no—
575C4⋊C4—68no—
576C22⋊C4—22no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—28no—
580C22⋊C4—28no—
581C22⋊C4—64no—
582C22⋊C4—68no—
583C22⋊C4—68no—
584C22⋊C4—616no—
585C22⋊C4—616no—
586C22⋊C4—64no—
587C22⋊C4—62no—
588C22⋊C4—64no—
589C22⋊C4—64no—
590C22⋊C4—68no—
591C22⋊C4—68no—
592C42—68no—
593C42—64no—
594C22×C3—232no—
595C22×C3—24no—
596C22×C3—28no—
597C22×C3—24no—
598C22×C3—24no—
599C22×C3—216no—
600C22×C3—41no—
601C22×C3—44no—
602C22×C3—42no—
603C22×C3C2×#12014yes—
604C22×C3#52518yescomplemented
605C22×C3C23×D412yes—
606C22×C3C23×D411yescharacteristic
607C22×C3C22×#4114yes—
608C2×D3—264no—
609C2×D3—2128no—
610C2×D3—28no—
611C2×D3—28no—
612C2×D3—216no—
613C2×D3—216no—
614C2×D3—41no—
615C2×D3—44no—
616C2×D3—42no—
617C2×D3#525116yescomplemented
618C3×C4—28no—
619C3×C4—41no—
620C3×C4—44no—
621C3×C4—42no—
622Dic3—24no—
623Dic3—41no—
624Dic3—44no—
625Dic3—42no—
626Dic3C2×#12014yes—
627Dic3C2×#12014yes—
628C23—232no—
629C23—216no—
630C23—24no—
631C23—24no—
632C23—24no—
633C23—28no—
634C23—22no—
635C23—21no—
636C23—24no—
637C23—38no—
638C23—316no—
639C23—632no—
640C23—664no—
641C23—632no—
642C23—6256no—
643C23—632no—
644C23—664no—
645C23—632no—
646C23—632no—
647C23—632no—
648C23—64no—
649C23—64no—
650C23—68no—
651C23—616no—
652C23—62no—
653C23—61no—
654C23—64no—
655C23C2×D3×D414yes—
656C23C2×D3×D412yes—
657C23C2×D3×D414yes—
658C23D3×#4118yes—
659C23C24×D311yescharacteristic
660Q8—124no—
661D4—48no—
662D4—44no—
663D4—124no—
664D4—1216no—
665D4—1216no—
666D4—128no—
667D4—124no—
668C2×C4—232no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—216no—
672C2×C4—24no—
673C2×C4—22no—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—28no—
677C2×C4—24no—
678C2×C4—34no—
679C2×C4—32no—
680C2×C4—34no—
681C2×C4—32no—
682C2×C4—316no—
683C2×C4—34no—
684C2×C4—632no—
685C2×C4—632no—
686C2×C4—664no—
687C2×C4—616no—
688C2×C4—616no—
689C2×C4—64no—
690C2×C4—68no—
691C2×C4—64no—
692C2×C4—62no—
693C2×C4—62no—
694C2×C4—61no—
695C2×C4—68no—
696C2×C4—64no—
697C2×C4—124no—
698C2×C4—124no—
699C2×C4C2×D3×D418yes—
700C2×C3—24no—
701C2×C3—28no—
702C2×C3—81no—
703C2×C3C22×#12011yescharacteristic
704C2×C3C2×#52514yes—
705C2×C3C2×#52512yes—
706D3—216no—
707D3—81no—
708C22—232no—
709C22—28no—
710C22—216no—
711C22—24no—
712C22—24no—
713C22—24no—
714C22—316no—
715C22—44no—
716C22—41no—
717C22—42no—
718C22—6128no—
719C22—664no—
720C22—68no—
721C22—616no—
722C22—68no—
723C22—616no—
724C22—124no—
725C22—121no—
726C22—122no—
727C22D3×#12014yes—
728C22#565618yescomplemented
729C22C22×D3×D412yes—
730C22C22×D3×D411yescharacteristic
731C22C2×D3×#4114yes—
732C4—28no—
733C4—34no—
734C4—34no—
735C4—44no—
736C4—41no—
737C4—42no—
738C4—64no—
739C4—124no—
740C4—121no—
741C4—122no—
742C3#3661411yescharacteristic, complemented, Sylow
743C2—28no—
744C2—24no—
745C2—616no—
746C2—81no—
747C2—241no—
748C2C2×D3×#12011yescharacteristic
749C2C2×#565612yes—
750C2D3×#52514yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2849C2
hypercenter#2849D3
hypocenterC3#36614
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. C24×C4×D3C2semidirect
2. C2×#5656C2semidirect
3. C2×#5586C2semidirect
4. C3×#2849C2semidirect
5. #84033C2semidirect
6. #82912C2semidirect
7. #82612C2semidirect
8. #74935C2semidirect
9. #74659C2semidirect
10. #74655C2semidirect
11. #74379C2semidirect
12. #74146C2semidirect
13. #74050C2semidirect
14. #73861C2semidirect
15. #73817C2semidirect
20. C22×#237C22semidirect
27. C2×C3×#123C22semidirect
30. C2×#939C22semidirect
33. C2×#935C22semidirect
34. C2×D4×Dic3C22semidirect
35. C2×#929C22semidirect
38. C2×#896C22semidirect
39. C2×#893C22semidirect
40. C2×#886C22semidirect
41. C2×#884C22semidirect
44. C2×#67⋊C4C22semidirect
45. C2×#67⋊C4C22semidirect
46. C2×#878C22semidirect
47. C2×#877C22semidirect
48. C2×#877C22semidirect
49. C3×#386C22semidirect
50. C3×#385C22semidirect
51. C3×#381C22semidirect
54. #5213C22semidirect
55. #5211C22semidirect
56. #5210C22semidirect
57. #4989C22semidirect
58. #4956C22semidirect
63. #4943C22semidirect
64. #4942C22semidirect
65. Dic3×C22⋊C4C22semidirect
66. #4668C22semidirect
67. #4667C22semidirect
68. #4666C22semidirect
69. #4665C22semidirect
76. #2849D3semidirect
100. C22×#67C23semidirect
102. C23×Dic3D4semidirect
107. C23×Dic3C23semidirect
121. C22×C4×D3D4semidirect
125. C22×C4×D3C23semidirect
126. C22×Dic6C23semidirect
129. C2×C3×C4⋊C4C23semidirect
134. C2×C3×C22⋊C4C23semidirect
140. C2×#217C23semidirect
151. C2×(C2×D3)⋊C4C23semidirect
152. C2×(C2×D3)⋊C4C23semidirect
153. C2×C4⋊Dic3C23semidirect
154. C2×Dic3⋊C4C23semidirect
155. C2×Dic3⋊C4C23semidirect
156. C2×Dic3⋊C4C23semidirect
157. C2×Dic3⋊C4C23semidirect
158. C2×C4×Dic3C23semidirect
159. C2×C4×Dic3C23semidirect
171. C3×#95C23semidirect
172. C3⋊#95C23semidirect
173. C3⋊#95C23semidirect
189. C2×#123C2×D3semidirect
209. #386C2×D3semidirect
213. #385C2×D3semidirect
216. #381C2×D3semidirect
244. C23×D3#41semidirect
397. C2×C4⋊C4C22×D3semidirect
413. C2×C22⋊C4C22×D3semidirect
418. #95C22×D3semidirect
479. C2×Dic3#120semidirect
604. C22×C3#525semidirect
617. C2×D3#525semidirect
728. C22#5656semidirect
742. C3#36614semidirect

Maximal subgroups

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

subgroupindex
C24×C4×D32
C2×#56562
C2×#55862
C3×#28492
#840332
#829122
#826122
#749352
#746592
#746552
#743792
#741462
#740502
#738612
#738172
#366143