Finite Group Databasebeta

← #10823393

Subgroups — #10823393

Order 768.

1188 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5557C211yesmaximal, characteristic
2C2×C3×C4×SD16C211yesmaximal, characteristic, complemented
3C4×#946C211yesmaximal, characteristic, complemented
4C2×C4×#216C211yesmaximal, characteristic, complemented
5#72058C211yesmaximal, characteristic, complemented
6#72054C211yesmaximal, characteristic
7C4×#832C211yesmaximal, characteristic, complemented
8#70582C211yesmaximal, characteristic, complemented
9#70566C211yesmaximal, characteristic, complemented
10#70273C211yesmaximal, characteristic, complemented
11#70232C211yesmaximal, characteristic, complemented
12#70216C211yesmaximal, characteristic, complemented
13#70206C211yesmaximal, characteristic
14C4×#816C211yesmaximal, characteristic, complemented
15C4×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
16#23572—31nomaximal, Sylow
17C22×C3×SD16C2211yescharacteristic
18C2×C3×C4×Q8C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×#946C2211yescharacteristic
21C22×#216C2211yescharacteristic
22C2×#938C2211yescharacteristic
23C2×#936C2211yescharacteristic
24C2×C4×#67—21no—
25C2×#926—21no—
26#5557—24no—
27#5557—24no—
28C2×#897C2211yescharacteristic
29C2×#890C2211yescharacteristic
30C2×#883—21no—
31C2×#879—21no—
32C2×C42×D3C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C3×C4×SD16—24no—
35C2×C3×#106C2211yescharacteristic
36C2×C3×#103C2211yescharacteristic
37C2×C3×#102C2211yescharacteristic
38C2×C3×C4×C8C2211yescharacteristic
39#5229C2211yescharacteristic
40C2×#835C2211yescharacteristic
41C2×#832C2211yescharacteristic
42C2×#832C2211yescharacteristic
43C2×(C2×D3)⋊C8C2211yescharacteristic
44C2×(C2×D3)⋊C8C2211yescharacteristic
45C2×#816C2211yescharacteristic
46C2×#816C2211yescharacteristic
47C4×#216—24no—
48#4989—21no—
49#4987C2211yescharacteristic
50#4978—21no—
51#4972C2211yescharacteristic
52C2×#810C2211yescharacteristic
53C2×#807C2211yescharacteristic
54C4×(C2×D3)⋊C4—21no—
55C4×C4⋊Dic3C2211yescharacteristic
56C4×Dic3⋊C4—21no—
57C2×C4×C3⋊C8C2211yescharacteristic
58#4551C2211yescharacteristic
59#4551C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4529C2211yescharacteristic
63#4529C2211yescharacteristic
64C2×#529—31no—
65C2×C4×Q16—31no—
66C2×C4×SD16D311yescharacteristic, complemented
67C4×C22⋊Q8—31no—
68#2059—31no—
69#2042—31no—
70#2035—31no—
71#2033—31no—
72#2026—31no—
73#2015—31no—
74#2001—31no—
75#2000—31no—
76C4×#103—31no—
77C4×#102—31no—
78C4×C22⋊C8—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×C3×D4C2311yescharacteristic
81C23×C3×C4—21no—
82C22×#67—21no—
83C22×C4×D3D411yescharacteristic
84C22×C4×D3D411yescharacteristic
85C22×C4×D3C2311yescharacteristic
86C22×Dic6C2311yescharacteristic
87C2×C3×SD16—22no—
88C2×C3×SD16—22no—
89C2×C3×SD16—22no—
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C3×C4×Q8—22no—
93C3×C4×Q8—22no—
94C3×C4×D4—22no—
95C3×C4×D4D414yes—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C22⋊C4—21no—
100C2×C3×C42—21no—
101C2×C3×C42C2311yescharacteristic
102C2×#217—21no—
103C2×#217—21no—
104C2×#217—21no—
105#946—22no—
106#946—22no—
107C2×#216—22no—
108C2×#216—22no—
109C2×#216—22no—
110#938—22no—
111#938—22no—
112#936—22no—
113#936—22no—
114C4×#67—28no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—21no—
117C2×(C2×D3)⋊C4—21no—
118#926—28no—
119C2×C4⋊Dic3—21no—
120C2×C4⋊Dic3—21no—
121C2×C4⋊Dic3C2311yescharacteristic
122C2×C4⋊Dic3C2311yescharacteristic
123C2×C4⋊Dic3C2311yescharacteristic
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4—21no—
126C2×Dic3⋊C4—21no—
127C2×Dic3⋊C4—21no—
128C2×C4×Dic3—21no—
129C2×C4×Dic3—21no—
130C2×C4×Dic3D411yescharacteristic
131C2×C4×Dic3D411yescharacteristic
132C2×C4×Dic3C2311yescharacteristic
133C22×C3⋊C8C2311yescharacteristic
134C22×C3⋊C8C2311yescharacteristic
135#897—22no—
136#897—22no—
137#890—22no—
138#890—22no—
139#883—28no—
140#879—28no—
141C42×D3—22no—
142C42×D3—22no—
143C4×Dic6—22no—
144C4×Dic6D414yes—
145C3×#106—22no—
146C3×#103—22no—
147C3×#102—22no—
148C3×C4×C8—22no—
149#835—22no—
150#832—22no—
151#832—22no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157(C2×D3)⋊C8—22no—
158(C2×D3)⋊C8—22no—
159#816—22no—
160#816—22no—
161#810—22no—
162#807—22no—
163C4×C3⋊C8—22no—
164C22×Q16—31no—
165C22×SD16C2×D311yescharacteristic
166#529—64no—
167#529—64no—
168C2×#126—61no—
169C2×#125—31no—
170C2×#124—31no—
171C2×#123—61no—
172C2×C22⋊Q8—31no—
173C2×C22⋊Q8—31no—
174C2×#121—31no—
175C2×C4×Q8—31no—
176C2×C4×Q8C2×D311yescharacteristic
177C2×C4×D4—61no—
178C2×C4×D4C2×D311yescharacteristic
179C2×#117—61no—
180C22×C42—31no—
181C4×Q16—64no—
182C4×SD16—24no—
183C2×#107—31no—
184C2×#106C2×D311yescharacteristic
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103C2×D311yescharacteristic
190C2×#102—31no—
191C2×#102—31no—
192C2×#102C2×D311yescharacteristic
193C2×C22⋊C8—31no—
194C2×C22⋊C8—31no—
195C2×C4×C8—31no—
196C2×C4×C8C2×D311yescharacteristic
197#391—31no—
198#389—31no—
199#387—61no—
200#385—61no—
201#380—31no—
202C4×C4⋊C4—31no—
203C4×C4⋊C4—61no—
204C4×C22⋊C4—61no—
205#340—31no—
206#340—31no—
207#340—31no—
208#340—31no—
209#336—31no—
210#336—31no—
211C24×C3—21no—
212C23×D3C2×D411yescharacteristic
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8#4112yes—
219C2×C3×D4—21no—
220C2×C3×D4—21no—
221C2×C3×D4—21no—
222C2×C3×D4—21no—
223C2×C3×D4—21no—
224C2×C3×D4C2×D412yes—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—24no—
228C22×C3×C4—21no—
229C22×C3×C4—42no—
230C22×C3×C4—42no—
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2411yescharacteristic
234C2×#67—24no—
235C2×#67—42no—
236C2×#67—42no—
237C22×Dic3—21no—
238C22×Dic3—21no—
239C22×Dic3—21no—
240C22×Dic3—21no—
241C22×Dic3C2×D411yescharacteristic
242C22×Dic3C2×D411yescharacteristic
243C22×Dic3C2×D411yescharacteristic
244C2×C4×D3—22no—
245C2×C4×D3—22no—
246C2×C4×D3—22no—
247C2×C4×D3—22no—
248C2×C4×D3—22no—
249C2×C4×D3—21no—
250C2×C4×D3—21no—
251C2×C4×D3—21no—
252C2×C4×D3—21no—
253C2×C4×D3—21no—
254C2×C4×D3—21no—
255C2×C4×D3—41no—
256C2×Dic6—21no—
257C2×Dic6—21no—
258C2×Dic6—21no—
259C2×Dic6—21no—
260C2×Dic6—21no—
261C2×Dic6C2×D412yes—
262C3×SD16—28no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8—21no—
266C2×C3×C8—21no—
267C2×C3×C8—21no—
268C2×C3×C8#4112yes—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—21no—
271C3×C4⋊C4—21no—
272C3×C4⋊C4—42no—
273C3×C4⋊C4C2×D412yes—
274C3×C22⋊C4—24no—
275C3×C42—42no—
276C3×C42C2×D412yes—
277C3×C42C2×D412yes—
278#217—24no—
279#217—24no—
280#217—24no—
281#216—28no—
282(C2×D3)⋊C4—24no—
283(C2×D3)⋊C4—24no—
284(C2×D3)⋊C4—42no—
285C4⋊Dic3—24no—
286C4⋊Dic3—24no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3C2×D412yes—
292C4⋊Dic3#4112yes—
293Dic3⋊C4—24no—
294Dic3⋊C4—24no—
295Dic3⋊C4—24no—
296Dic3⋊C4—42no—
297C4×Dic3—24no—
298C4×Dic3—22no—
299C4×Dic3—22no—
300C4×Dic3—21no—
301C4×Dic3—21no—
302C4×Dic3—42no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8—21no—
305C2×C3⋊C8—21no—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8#4112yes—
309C22×Q8—31no—
310C22×Q8C22×D311yescharacteristic
311C22×D4—61no—
312C22×D4C22×D311yescharacteristic
313C23×C4—21no—
314C23×C4—31no—
315C23×C4—31no—
316C23×C4—31no—
317C2×Q16—62no—
318C2×Q16—62no—
319C2×Q16—62no—
320C2×SD16—22no—
321C2×SD16—22no—
322C2×SD16—22no—
323C22×C8—31no—
324C22×C8—31no—
325C22×C8C22×D311yescharacteristic
326C22×C8C22×D311yescharacteristic
327#126—68no—
328#125—62no—
329#125—62no—
330#124—62no—
331#124—62no—
332#123—68no—
333C22⋊Q8—62no—
334C22⋊Q8—62no—
335C22⋊Q8—62no—
336C22⋊Q8—62no—
337#121—62no—
338#121—62no—
339C4×Q8—22no—
340C4×Q8—22no—
341C4×Q8—34no—
342C4×Q8—62no—
343C4×D4—22no—
344C4×D4—68no—
345C4×D4#6714yes—
346#117—68no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—31no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
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×C22⋊C4—21no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C42—21no—
367C2×C42—31no—
368C2×C42—31no—
369C2×C42—31no—
370C2×C42—61no—
371C2×C42—62no—
372C2×C42—62no—
373C2×C42—61no—
374C2×C42C22×D311yescharacteristic
375#107—62no—
376#106—22no—
377#103—22no—
378#103—62no—
379#103—62no—
380#103—62no—
381#103—62no—
382#102—22no—
383#102—62no—
384#102—62no—
385C22⋊C8—62no—
386C22⋊C8—62no—
387C4×C8—22no—
388C4×C8—62no—
389#95—61no—
390#95—61no—
391#95—61no—
392#95—61no—
393#95—61no—
394C23×C3—22no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3—41no—
398C23×C3—41no—
399C23×C3—41no—
400C23×C3—41no—
401C23×C3C22×D411yescharacteristic
402C22×D3—21no—
403C22×D3—21no—
404C22×D3—21no—
405C22×D3—21no—
406C22×D3—21no—
407C22×D3—21no—
408C22×D3#13512yes—
409C3×Q8—22no—
410C3×Q8—22no—
411C3×Q8—41no—
412C3×Q8—41no—
413C3×D4—22no—
414C3×D4—22no—
415C3×D4—41no—
416C3×D4—41no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—48no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4#12012yes—
430C2×C3×C4#12012yes—
431C2×C3×C4#13512yes—
432C2×C3×C4#13712yes—
433C2×C3×C4C22×D411yescharacteristic
434C2×C3×C4C22×D411yescharacteristic
435C2×C3×C4C2×#4111yescharacteristic
436C2×C3×C4C2×#4111yescharacteristic
437C2×C3×C4C2×#4111yescharacteristic
438C2×C3×C4C2×#4111yescharacteristic
439#67—48no—
440C2×Dic3—21no—
441C2×Dic3—21no—
442C2×Dic3—21no—
443C2×Dic3—22no—
444C2×Dic3—22no—
445C2×Dic3—21no—
446C2×Dic3—22no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C4×D3—44no—
462C4×D3—41no—
463C4×D3—41no—
464C4×D3—41no—
465C4×D3—41no—
466C4×D3—44no—
467Dic6—22no—
468Dic6—22no—
469Dic6—41no—
470Dic6—41no—
471C3×C8—22no—
472C3×C8—41no—
473C3⋊C8—22no—
474C3⋊C8—41no—
475C24—21no—
476C24—31no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—32no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—61no—
487C2×Q8—61no—
488C2×Q8#23512yes—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—64no—
495C2×D4—122no—
496C2×D4—122no—
497C2×D4C2×#6712yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—24no—
501C22×C4—21no—
502C22×C4—31no—
503C22×C4—31no—
504C22×C4—31no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—62no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—62no—
512C22×C4—62no—
513C22×C4—62no—
514C22×C4—62no—
515C22×C4—61no—
516C22×C4—61no—
517C22×C4—61no—
518C22×C4—61no—
519C22×C4—61no—
520C22×C4—61no—
521C22×C4—61no—
522C22×C4—121no—
523C22×C4D3×D411yescharacteristic
524C22×C4D3×D411yescharacteristic
525C22×C4C23×D311yescharacteristic
526Q16—68no—
527SD16—28no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—32no—
534C2×C8—61no—
535C2×C8—61no—
536C2×C8—61no—
537C2×C8—61no—
538C2×C8—61no—
539C2×C8#23512yes—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—32no—
544C4⋊C4—32no—
545C4⋊C4—42no—
546C4⋊C4—64no—
547C4⋊C4—64no—
548C4⋊C4—64no—
549C4⋊C4—64no—
550C4⋊C4—64no—
551C4⋊C4—61no—
552C4⋊C4—61no—
553C4⋊C4—61no—
554C4⋊C4—61no—
555C4⋊C4—122no—
556C4⋊C4C2×#6712yes—
557C22⋊C4—24no—
558C22⋊C4—64no—
559C22⋊C4—64no—
560C22⋊C4—64no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—122no—
564C42—42no—
565C42—62no—
566C42—62no—
567C42—64no—
568C42—61no—
569C42—61no—
570C42—122no—
571C42D3×D412yes—
572C42C2×#6712yes—
573C22×C3—42no—
574C22×C3—42no—
575C22×C3—42no—
576C22×C3—81no—
577C22×C3—81no—
578C22×C3—81no—
579C22×C3—81no—
580C22×C3C2×#12011yescharacteristic
581C22×C3#52511yescharacteristic
582C22×C3#53211yescharacteristic
583C22×C3C2×#13511yescharacteristic
584C22×C3C2×#13511yescharacteristic
585C22×C3C2×#13711yescharacteristic
586C22×C3#57511yescharacteristic
587C2×D3—22no—
588C2×D3—22no—
589C2×D3—22no—
590C2×D3—41no—
591C2×D3—41no—
592C2×D3—41no—
593C2×D3—41no—
594C3×C4—22no—
595C3×C4—42no—
596C3×C4—42no—
597C3×C4—81no—
598C3×C4#45214yes—
599C3×C4#52511yescharacteristic
600C3×C4#52511yescharacteristic
601C3×C4#53211yescharacteristic
602C3×C4#53211yescharacteristic
603Dic3—42no—
604Dic3—42no—
605Dic3—41no—
606Dic3—41no—
607Dic3—41no—
608Dic3—42no—
609Dic3—81no—
610C23—22no—
611C23—32no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—61no—
619C23—61no—
620C23—61no—
621C23—61no—
622C23—61no—
623C23—61no—
624C23C2×D3×D411yescharacteristic
625Q8—22no—
626Q8—22no—
627Q8—41no—
628Q8—41no—
629Q8—62no—
630Q8—62no—
631Q8—121no—
632Q8—121no—
633D4—22no—
634D4—22no—
635D4—41no—
636D4—41no—
637D4—128no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—48no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—124no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—124no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4#91512yes—
678C2×C4#91612yes—
679C2×C4#93712yes—
680C2×C4#93712yes—
681C2×C4C2×#23511yescharacteristic
682C2×C4C2×#23511yescharacteristic
683C2×C4C2×D3×D411yescharacteristic
684C2×C4D3×#4111yescharacteristic
685C2×C4D3×#4111yescharacteristic
686C2×C4C22×#6711yescharacteristic
687C8—22no—
688C8—41no—
689C8—62no—
690C8—121no—
691C2×C3—82no—
692C2×C3#238811yescharacteristic
693C2×C3C2×#45211yescharacteristic
694C2×C3#300211yescharacteristic
695C2×C3#310211yescharacteristic
696C2×C3#310811yescharacteristic
697C2×C3#316811yescharacteristic
698C2×C3#317211yescharacteristic
699D3—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—62no—
704C22—62no—
705C22—62no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—121no—
714C22#554711yescharacteristic
715C22#554811yescharacteristic
716C22C2×#91511yescharacteristic
717C22C2×#91611yescharacteristic
718C22D3×#13511yescharacteristic
719C22#576811yescharacteristic
720C22C2×#93711yescharacteristic
721C4—22no—
722C4—42no—
723C4—42no—
724C4—81no—
725C4—122no—
726C4—121no—
727C4—121no—
728C4—122no—
729C4—121no—
730C4—122no—
731C4—241no—
732C4#517314yes—
733C4#554711yescharacteristic
734C4#554811yescharacteristic
735C4#579111yescharacteristic
736C4#583211yescharacteristic
737C3#2357211yescharacteristic, complemented, Sylow
738C2—82no—
739C2—122no—
740C2#7965611yescharacteristic
741C2#7966311yescharacteristic
742C2#7966511yescharacteristic
743C2#7969411yescharacteristic
744C2#8240011yescharacteristic
745C2C2×#517311yescharacteristic
746C2#8391111yescharacteristic
subgroupG/H
centerC22×C4D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×C4×SD16C2
socleC23×C3C22×D4
prime radicalC2×#938C22
hypercenterC2×C4×SD16D3
hypocenterC3#23572
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
2. C2×C3×C4×SD16C2semidirect
3. C4×#946C2semidirect
4. C2×C4×#216C2semidirect
5. #72058C2semidirect
7. C4×#832C2semidirect
8. #70582C2semidirect
9. #70566C2semidirect
10. #70273C2semidirect
11. #70232C2semidirect
12. #70216C2semidirect
14. C4×#816C2semidirect
15. C4×(C2×D3)⋊C8C2semidirect
66. C2×C4×SD16D3semidirect
737. C3#23572semidirect

Maximal subgroups

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

subgroupindex
C2×#55572
C2×C3×C4×SD162
C4×#9462
C2×C4×#2162
#720582
#720542
C4×#8322
#705822
#705662
#702732
#702322
#702162
#702062
C4×#8162
C4×(C2×D3)⋊C82
#235723