Finite Group Databasebeta

← #10828469

Subgroups — #10828469

Order 768.

1352 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5548C211yesmaximal, characteristic
2C2×#4866C211yesmaximal, characteristic, complemented
3C2×#4784C211yesmaximal, characteristic, complemented
4#75963C211yesmaximal, characteristic, complemented
5C3×#1864C211yesmaximal, characteristic, complemented
6#71606C211yesmaximal, characteristic, complemented
7#70565C211yesmaximal, characteristic, complemented
8#70211C211yesmaximal, characteristic, complemented
9#70201C211yesmaximal, characteristic, complemented
10#70177C211yesmaximal, characteristic, complemented
11#69626C211yesmaximal, characteristic, complemented
12#68881C211yesmaximal, characteristic, complemented
13#68826C211yesmaximal, characteristic, complemented
14#68670C211yesmaximal, characteristic, complemented
15#68664C211yesmaximal, characteristic, complemented
16#24062—31nomaximal, Sylow
17C22×#235—21no—
18C2×C3×C4×D4C2211yescharacteristic
19C2×#940C2211yescharacteristic
20C2×#938C2211yescharacteristic
21C2×C4×#67—21no—
22#5548—24no—
23#5548—24no—
24C2×#895C2211yescharacteristic
25C2×#892C2211yescharacteristic
26C2×#892C2211yescharacteristic
27C2×#888C2211yescharacteristic
28C2×#885—21no—
29C2×#884—21no—
30C2×C4×D12C2211yescharacteristic
31C2×C42×D3C2211yescharacteristic
32C2×C3×#106C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C3×#389C2211yescharacteristic
36C2×#832C2211yescharacteristic
37C2×#832C2211yescharacteristic
38C2×#821C2211yescharacteristic
39C2×#821C2211yescharacteristic
40C2×(C2×D3)⋊C8C2211yescharacteristic
41C2×(C2×D3)⋊C8C2211yescharacteristic
42C2×#818C2211yescharacteristic
43#4989—21no—
44#4984C2211yescharacteristic
45Dic3×C4⋊C4—21no—
46#4972C2211yescharacteristic
47C2×#809C2211yescharacteristic
48C2×#809C2211yescharacteristic
49C2×#808C2211yescharacteristic
50C2×#807C2211yescharacteristic
51#4928C2211yescharacteristic
52#4866—24no—
53#4784—24no—
54#4668—21no—
55#4649—21no—
56C3×#340C2211yescharacteristic
57C3×#336C2211yescharacteristic
58#4551C2211yescharacteristic
59#4550C2211yescharacteristic
60#4550C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#532—31no—
65C2×#482—31no—
66C2×#482—31no—
67#2296—31no—
68#2058—31no—
69#2057—31no—
70#2041—31no—
71#2041—31no—
72#1875—31no—
73#1875—31no—
74#1864—31no—
75#1864D311yescharacteristic, complemented
76#1862—31no—
77#1862—31no—
78#1817—31no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C22×#67—21no—
82C22×#67—21no—
83C22×#67—21no—
84C2×#235—28no—
85C2×#235—44no—
86C2×#235—44no—
87C22×D12—21no—
88C22×D12C2311yescharacteristic
89C22×C4×D3—21no—
90C22×C4×D3D411yescharacteristic
91C22×C4×D3D411yescharacteristic
92C22×C4×D3C2311yescharacteristic
93C22×Dic6—21no—
94C22×C3×C8C2311yescharacteristic
95C22×C3×C8C2311yescharacteristic
96C3×C4×D4—22no—
97C3×C4×D4—22no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C22⋊C4—21no—
103C2×C3×C42C2311yescharacteristic
104C2×#217—21no—
105#940—22no—
106#940—22no—
107#938—22no—
108#938D414yes—
109C4×#67—28no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×C4⋊Dic3—21no—
115C2×C4⋊Dic3C2311yescharacteristic
116C2×C4⋊Dic3C2311yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118C2×Dic3⋊C4—21no—
119C2×Dic3⋊C4—21no—
120C2×Dic3⋊C4—21no—
121C2×C4×Dic3—21no—
122C2×C4×Dic3—21no—
123C2×C4×Dic3D411yescharacteristic
124C2×C4×Dic3D411yescharacteristic
125C2×C4×Dic3C2311yescharacteristic
126C22×C3⋊C8C2311yescharacteristic
127C22×C3⋊C8C2311yescharacteristic
128#895—22no—
129#895D414yes—
130#892—22no—
131#892—22no—
132#892—22no—
133#892—22no—
134#888—22no—
135#888—22no—
136#885—28no—
137#884—28no—
138C4×D12—22no—
139C4×D12—22no—
140C42×D3—22no—
141C42×D3—22no—
142C3×#106—22no—
143C3×#102—22no—
144C3×#102—22no—
145C3×#95—21no—
146#832—22no—
147#832—22no—
148C3⋊#95—21no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151#821—22no—
152#821—22no—
153(C2×D3)⋊C8—22no—
154(C2×D3)⋊C8—22no—
155#818—22no—
156#809—22no—
157#809—22no—
158#808—22no—
159#807—22no—
160C22×#41—61no—
161#532—64no—
162#532—64no—
163C2×C4⋊Q8—31no—
164C2×#127—31no—
165C2×#124—61no—
166C2×#121—31no—
167C2×#121—31no—
168C2×#121—61no—
169C2×C4×D4—31no—
170C2×C4×D4—61no—
171C2×C4×D4C2×D311yescharacteristic
172C2×#117—31no—
173C2×#117—31no—
174C22×C42—31no—
175#482—64no—
176#482—64no—
177C2×#107—31no—
178C2×#107—31no—
179C2×#106—31no—
180C2×#106C2×D311yescharacteristic
181C2×#102—31no—
182C2×#102—31no—
183C2×#102—31no—
184C2×#102—31no—
185C2×#102—31no—
186C2×#102—31no—
187C2×#102C2×D311yescharacteristic
188C2×#102C2×D311yescharacteristic
189C2×C22⋊C8—31no—
190C2×C22⋊C8—31no—
191#389—31no—
192#389—31no—
193#389—31no—
194#389C2×D311yescharacteristic
195#385—61no—
196#385—61no—
197C4×C4⋊C4—61no—
198C4×C4⋊C4—61no—
199#340—31no—
200#340—31no—
201#340—31no—
202#340C2×D311yescharacteristic
203#336—31no—
204#336—31no—
205#336—31no—
206#336C2×D311yescharacteristic
207C24×C3—21no—
208C23×D3—21no—
209C23×D3C2×D411yescharacteristic
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4C2×D412yes—
216C22×C3×C4—24no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—42no—
221C22×C3×C4—42no—
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2411yescharacteristic
225C2×#67—24no—
226C2×#67—24no—
227C2×#67—24no—
228C2×#67—42no—
229C2×#67—42no—
230C2×#67—42no—
231C2×#67—42no—
232C2×#67—42no—
233C2×#67—42no—
234C22×Dic3—21no—
235C22×Dic3—21no—
236C22×Dic3—21no—
237C22×Dic3C2×D411yescharacteristic
238C22×Dic3C2×D411yescharacteristic
239C22×Dic3C2×D411yescharacteristic
240#235—432no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12—21no—
244C2×D12—21no—
245C2×D12—24no—
246C2×D12—21no—
247C2×D12—42no—
248C2×D12—42no—
249C2×D12C2×D412yes—
250C2×C4×D3—22no—
251C2×C4×D3—22no—
252C2×C4×D3—21no—
253C2×C4×D3—21no—
254C2×C4×D3—21no—
255C2×C4×D3—21no—
256C2×C4×D3—22no—
257C2×C4×D3—24no—
258C2×C4×D3—22no—
259C2×C4×D3—22no—
260C2×C4×D3—41no—
261C2×C4×D3—42no—
262C2×C4×D3—42no—
263C2×C4×D3C2×D412yes—
264C2×C4×D3C2×D412yes—
265C2×Dic6—24no—
266C2×Dic6—42no—
267C2×Dic6—42no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8—21no—
272C2×C3×C8—21no—
273C2×C3×C8—21no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—42no—
279C3×C4⋊C4C2×D412yes—
280C3×C4⋊C4#4112yescomplemented
281C3×C22⋊C4—24no—
282C3×C42—21no—
283C3×C42—21no—
284#217—24no—
285(C2×D3)⋊C4—24no—
286(C2×D3)⋊C4—24no—
287(C2×D3)⋊C4—24no—
288(C2×D3)⋊C4—42no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—21no—
293C4⋊Dic3—42no—
294C4⋊Dic3C2×D412yes—
295C4⋊Dic3#4112yescomplemented
296Dic3⋊C4—24no—
297Dic3⋊C4—42no—
298Dic3⋊C4—42no—
299C4×Dic3—24no—
300C4×Dic3—21no—
301C4×Dic3—21no—
302C4×Dic3—22no—
303C4×Dic3—22no—
304C4×Dic3—42no—
305C2×C3⋊C8—21no—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8—21no—
309C2×C3⋊C8—21no—
310C2×C3⋊C8—21no—
311C2×#41—68no—
312C2×#41—124no—
313C2×#41—124no—
314C22×Q8—61no—
315C22×D4—31no—
316C22×D4—61no—
317C22×D4—61no—
318C22×D4—61no—
319C22×D4—61no—
320C22×D4C22×D311yescharacteristic
321C23×C4—21no—
322C23×C4—31no—
323C23×C4—31no—
324C23×C4—31no—
325C23×C4—61no—
326C22×C8—31no—
327C22×C8—31no—
328C22×C8C22×D311yescharacteristic
329C22×C8C22×D311yescharacteristic
330C4⋊Q8—62no—
331C4⋊Q8—62no—
332#127—62no—
333#127—62no—
334#124—68no—
335#121—34no—
336#121—34no—
337#121—68no—
338#121—62no—
339#121—62no—
340C4×D4—22no—
341C4×D4—22no—
342C4×D4—62no—
343C4×D4—62no—
344C4×D4—68no—
345#117—62no—
346#117—62no—
347#117—62no—
348#117—62no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—31no—
352C2×C4⋊C4—31no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4C22×D311yescharacteristic
358C2×C4⋊C4C22×D311yescharacteristic
359C2×C4⋊C4C22×D311yescharacteristic
360C2×C22⋊C4—21no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C42—31no—
367C2×C42—31no—
368C2×C42—31no—
369C2×C42—62no—
370C2×C42—62no—
371C2×C42—61no—
372C2×C42—61no—
373C2×C42C22×D311yescharacteristic
374#107—62no—
375#107—62no—
376#106—22no—
377#106—62no—
378#102—22no—
379#102—22no—
380#102—62no—
381#102—62no—
382#102—62no—
383#102—62no—
384#102—62no—
385#102—62no—
386C22⋊C8—62no—
387C22⋊C8—62no—
388#95—21no—
389#95—61no—
390#95—61no—
391#95—61no—
392C23×C3—22no—
393C23×C3—41no—
394C23×C3—41no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3—41no—
398C23×C3—41no—
399C23×C3C22×D411yescharacteristic
400C22×D3—21no—
401C22×D3—21no—
402C22×D3—21no—
403C22×D3—21no—
404C22×D3—21no—
405C22×D3—21no—
406C22×D3—22no—
407C22×D3—41no—
408C22×D3—41no—
409C22×D3—41no—
410C22×D3—41no—
411C22×D3—41no—
412C22×D3—41no—
413C22×D3#12012yes—
414C3×D4—22no—
415C3×D4—22no—
416C3×D4—41no—
417C3×D4—41no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—48no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4AGL(1,ℤ/8)12yes—
434C2×C3×C4C22×D411yescharacteristic
435C2×C3×C4C22×D411yescharacteristic
436C2×C3×C4C2×#4111yescharacteristic
437C2×C3×C4C2×#4111yescharacteristic
438C2×C3×C42−1+411yescharacteristic
439C2×C3×C42−1+411yescharacteristic
440#67—48no—
441#67—48no—
442#67—48no—
443C2×Dic3—21no—
444C2×Dic3—21no—
445C2×Dic3—21no—
446C2×Dic3—21no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3#12012yes—
459C2×Dic3#13512yes—
460C2×Dic3AGL(1,ℤ/8)12yes—
461D12—22no—
462D12—22no—
463D12—48no—
464D12—41no—
465D12—41no—
466C4×D3—28no—
467C4×D3—22no—
468C4×D3—22no—
469C4×D3—22no—
470C4×D3—22no—
471C4×D3—44no—
472C4×D3—48no—
473Dic6—48no—
474C3×C8—41no—
475C3×C8—41no—
476C3⋊C8—41no—
477C3⋊C8—41no—
478C24—21no—
479C24—31no—
480C24—61no—
481#41—1232no—
482C2×Q8—64no—
483C2×Q8—122no—
484C2×Q8—122no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—32no—
491C2×D4—64no—
492C2×D4—64no—
493C2×D4—64no—
494C2×D4—64no—
495C2×D4—61no—
496C2×D4—61no—
497C2×D4—61no—
498C2×D4—61no—
499C2×D4—61no—
500C2×D4—122no—
501C2×D4—122no—
502C2×D4—122no—
503C2×D4—122no—
504C2×D4—122no—
505C2×D4—122no—
506C2×D4—122no—
507C2×D4—122no—
508C2×D4D3×D412yes—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—31no—
514C22×C4—31no—
515C22×C4—31no—
516C22×C4—32no—
517C22×C4—32no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—62no—
521C22×C4—62no—
522C22×C4—62no—
523C22×C4—62no—
524C22×C4—64no—
525C22×C4—62no—
526C22×C4—61no—
527C22×C4—61no—
528C22×C4—61no—
529C22×C4—61no—
530C22×C4—61no—
531C22×C4—61no—
532C22×C4—61no—
533C22×C4—121no—
534C22×C4—122no—
535C22×C4—122no—
536C22×C4D3×D411yescharacteristic
537C22×C4D3×D411yescharacteristic
538C22×C4C23×D311yescharacteristic
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—61no—
546C2×C8—61no—
547C2×C8—61no—
548C2×C8—61no—
549C2×C8—61no—
550C2×C8—61no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—32no—
556C4⋊C4—32no—
557C4⋊C4—42no—
558C4⋊C4—64no—
559C4⋊C4—61no—
560C4⋊C4—61no—
561C4⋊C4—61no—
562C4⋊C4—61no—
563C4⋊C4—122no—
564C4⋊C4—122no—
565C4⋊C4—122no—
566C4⋊C4#23512yescomplemented
567C4⋊C4D3×D412yes—
568C22⋊C4—24no—
569C22⋊C4—64no—
570C22⋊C4—64no—
571C22⋊C4—64no—
572C22⋊C4—64no—
573C22⋊C4—122no—
574C42—21no—
575C42—21no—
576C42—62no—
577C42—62no—
578C42—64no—
579C42—61no—
580C42—61no—
581C42—122no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3—42no—
585C22×C3—81no—
586C22×C3—81no—
587C22×C3—81no—
588C22×C3—81no—
589C22×C3C2×#12011yescharacteristic
590C22×C3#52511yescharacteristic
591C22×C3#53611yescharacteristic
592C22×C3C2×#13511yescharacteristic
593C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
594C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
595C22×C3#57511yescharacteristic
596C2×D3—22no—
597C2×D3—22no—
598C2×D3—22no—
599C2×D3—41no—
600C2×D3—41no—
601C2×D3—41no—
602C2×D3—41no—
603C2×D3—42no—
604C2×D3—42no—
605C2×D3—42no—
606C2×D3—81no—
607C2×D3—81no—
608C2×D3—81no—
609C2×D3—81no—
610C3×C4—22no—
611C3×C4—42no—
612C3×C4—41no—
613C3×C4—42no—
614C3×C4—81no—
615C3×C4#54711yescharacteristic
616C3×C4#54711yescharacteristic
617C3×C4#54711yescharacteristic
618C3×C4#54711yescharacteristic
619Dic3—22no—
620Dic3—22no—
621Dic3—22no—
622Dic3—42no—
623Dic3—42no—
624Dic3—81no—
625C23—22no—
626C23—32no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—41no—
631C23—41no—
632C23—41no—
633C23—61no—
634C23—61no—
635C23—61no—
636C23—61no—
637C23—61no—
638C23—61no—
639C23—62no—
640C23—121no—
641C23—121no—
642C23—121no—
643C23—121no—
644C23—121no—
645C23—121no—
646C23C2×D3×D411yescharacteristic
647Q8—128no—
648D4—22no—
649D4—22no—
650D4—41no—
651D4—41no—
652D4—62no—
653D4—62no—
654D4—128no—
655D4—128no—
656D4—128no—
657D4—128no—
658D4—121no—
659D4—121no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—32no—
668C2×C4—32no—
669C2×C4—32no—
670C2×C4—48no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—68no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—62no—
686C2×C4—62no—
687C2×C4—62no—
688C2×C4—62no—
689C2×C4—62no—
690C2×C4—62no—
691C2×C4—128no—
692C2×C4—124no—
693C2×C4—121no—
694C2×C4—121no—
695C2×C4—121no—
696C2×C4—121no—
697C2×C4—121no—
698C2×C4—121no—
699C2×C4—121no—
700C2×C4#91412yes—
701C2×C4C2×#23511yescharacteristic
702C2×C4C2×D3×D411yescharacteristic
703C2×C4C2×D3×D411yescharacteristic
704C2×C4#100711yescharacteristic
705C2×C4D3×#4111yescharacteristic
706C2×C4#101011yescharacteristic
707C8—41no—
708C8—41no—
709C8—121no—
710C8—121no—
711C2×C3—82no—
712C2×C3#240611yescharacteristic
713C2×C3#300211yescharacteristic
714C2×C3#300311yescharacteristic
715C2×C3#310611yescharacteristic
716C2×C3#311511yescharacteristic
717C2×C3#322811yescharacteristic
718C2×C3#323511yescharacteristic
719D3—42no—
720D3—82no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—62no—
725C22—62no—
726C22—62no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22—81no—
731C22—121no—
732C22—121no—
733C22—121no—
734C22—121no—
735C22—122no—
736C22—122no—
737C22—122no—
738C22—241no—
739C22—241no—
740C22—241no—
741C22—241no—
742C22#554711yescharacteristic
743C22D3×#12011yescharacteristic
744C22#562811yescharacteristic
745C22C2×#91411yescharacteristic
746C22D3×#13511yescharacteristic
747C22D3×AGL(1,ℤ/8)11yescharacteristic
748C22#577311yescharacteristic
749C4—22no—
750C4—42no—
751C4—42no—
752C4—41no—
753C4—62no—
754C4—62no—
755C4—62no—
756C4—81no—
757C4—122no—
758C4—122no—
759C4—241no—
760C4#550711yescharacteristic
761C4#555111yescharacteristic
762C4#563111yescharacteristic
763C4#565511yescharacteristic
764C3#2406211yescharacteristic, complemented, Sylow
765C2—82no—
766C2—122no—
767C2—242no—
768C2#7460011yescharacteristic
769C2#7969511yescharacteristic
770C2#7987211yescharacteristic
771C2#8008211yescharacteristic
772C2#8014611yescharacteristic
773C2#8106611yescharacteristic
774C2#8117211yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1864C2
socleC23×C3C22×D4
prime radicalC2×#5548C2
hypercenter#1864D3
hypocenterC3#24062
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1864

Complements

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

NH ≅ G/Ntype
2. C2×#4866C2semidirect
3. C2×#4784C2semidirect
4. #75963C2semidirect
5. C3×#1864C2semidirect
6. #71606C2semidirect
7. #70565C2semidirect
8. #70211C2semidirect
9. #70201C2semidirect
10. #70177C2semidirect
11. #69626C2semidirect
12. #68881C2semidirect
13. #68826C2semidirect
14. #68670C2semidirect
15. #68664C2semidirect
75. #1864D3semidirect
280. C3×C4⋊C4#41semidirect
295. C4⋊Dic3#41semidirect
566. C4⋊C4#235semidirect
764. C3#24062semidirect

Maximal subgroups

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

subgroupindex
C2×#55482
C2×#48662
C2×#47842
#759632
C3×#18642
#716062
#705652
#702112
#702012
#701772
#696262
#688812
#688262
#686702
#686642
#240623