Finite Group Databasebeta

← #6345349

Subgroups — #6345349

Order 512.

1580 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60560C211yesmaximal, characteristic
2#60292C211yesmaximal, characteristic
3C2×#2984C211yesmaximal, characteristic, complemented
4#18053C214yesmaximal, complemented
5#18051C214yesmaximal, complemented
6#18032C214yesmaximal, complemented
7#18030C214yesmaximal, complemented
8#17943C212yesmaximal, complemented
9#17939C212yesmaximal, complemented
10#17915C212yesmaximal, complemented
11#17911C212yesmaximal, complemented
12#17821C211yesmaximal, characteristic, complemented
13#17494C211yesmaximal, characteristic
14#17449C211yesmaximal, characteristic, complemented
15#17324C211yesmaximal, characteristic, complemented
16#3444C2211yescharacteristic
17C22×C4×Q8C2211yescharacteristic
18#3117C414yes—
19#3113C411yescharacteristic
20#3113C411yescharacteristic
21#3112C411yescharacteristic
22#3112C411yescharacteristic
23#3108C2212yes—
24#3108C2212yes—
25#3104C2212yes—
26#3103C2212yes—
27#3092C412yes—
28#3078C412yes—
29#3037C412yes—
30#3004C412yes—
31#2991C2212yes—
32#2990C2212yes—
33#2989—21no—
34#2988—21no—
35#2986C2212yes—
36#2984—22no—
37#2984—22no—
38#2984C2214yes—
39#2984C2214yes—
40#2979C2212yes—
41#2976—21no—
42#2976—21no—
43#2969—22no—
44#2966C2212yes—
45#2966C2212yes—
46C2×#446—21no—
47C2×#446—21no—
48C2×#446C2211yescharacteristic
49C2×#446C2211yescharacteristic
50C2×C8×Q8C2211yescharacteristic
51C2×C8×Q8C2211yescharacteristic
52C4×#137C2214yes—
53#2925—22no—
54#2920C2211yescharacteristic
55#2920C2211yescharacteristic
56#2920C2211yescharacteristic
57C2×#432—21no—
58C2×#432C2211yescharacteristic
59C2×#431—21no—
60C2×#431C2211yescharacteristic
61#1593C2214yescomplemented
62#1592C2214yescomplemented
63#1591C2214yescomplemented
64#1590C2214yescomplemented
65#1588C2214yescomplemented
66#1587C2214yescomplemented
67#1587C2214yescomplemented
68#1585C2214yescomplemented
69#1584C2214yescomplemented
70#1584C2214yescomplemented
71#1583C2214yescomplemented
72#1582C2214yescomplemented
73#1579C2214yescomplemented
74SD16⋊C8C2214yescomplemented
75C8×Q16C2214yescomplemented
76C8×SD16C2214yescomplemented
77#1573C2212yes—
78#1573C2212yes—
79#1572C2214yes—
80#1569C2212yes—
81#1569C2212yes—
82#1497C2212yes—
83#1496C2212yes—
84#1491C2212yes—
85#1491C2212yes—
86#1488C2214yes—
87#1487C2212yes—
88#1487C2212yes—
89#1483C2212yes—
90#1483C2212yes—
91#1479C2214yes—
92#1454C2214yes—
93#1453C2214yes—
94#1451C2212yes—
95C8×M16C2212yes—
96C23×Q8C2×C411yescharacteristic
97C2×#137C2×C414yes—
98#533C2×C411yescharacteristic
99#533C2×C411yescharacteristic
100#533C2311yescharacteristic
101#532C2×C411yescharacteristic
102#532C2×C411yescharacteristic
103#532C2311yescharacteristic
104#529—21no—
105#529—21no—
106#529—21no—
107#529—21no—
108#529C2×C412yes—
109#529C2312yes—
110#525—21no—
111#525—21no—
112#525C2×C412yes—
113C4×#41—21no—
114C4×#41—21no—
115C4×#41C2312yes—
116C2×C4×Q8—21no—
117C2×C4×Q8—21no—
118C2×C4×Q8—21no—
119C2×C4×Q8—21no—
120C2×C4×Q8—21no—
121C2×C4×Q8—21no—
122C2×C4×Q8C2×C412yes—
123C2×C4×Q8C2×C411yescharacteristic
124C2×C4×Q8C2×C411yescharacteristic
125C2×C4×Q8C2×C412yes—
126C2×C4×Q8C2312yes—
127C2×C4×Q8C2311yescharacteristic
128C2×C4×Q8C2311yescharacteristic
129C2×C4×Q8C2312yes—
130C22×C4⋊C4—21no—
131C22×C4⋊C4C2×C411yescharacteristic
132C22×C42—21no—
133C22×C42C2311yescharacteristic
134#484C2×C414yes—
135#483C2×C412yes—
136#483C2×C412yes—
137#481C2×C414yes—
138#480C2×C412yes—
139#480C2×C412yes—
140#479C2×C414yes—
141#479C2×C414yes—
142#477C2×C412yes—
143#477C2×C412yes—
144#475C2×C412yes—
145#475C2×C412yes—
146#464C2×C414yes—
147#464C2×C414yes—
148#462C2×C412yes—
149#462C2×C412yes—
150#460C2×C412yes—
151#460C2×C412yes—
152#451C2×C414yes—
153#451C2×C412yes—
154#451C2×C412yes—
155#448C2×C414yes—
156#448C2×C412yes—
157#448C2×C412yes—
158#446—24no—
159#446—24no—
160#446—24no—
161#446—24no—
162#446—22no—
163#446—22no—
164#446—22no—
165#446C2314yes—
166#446C2312yes—
167#446C2314yes—
168#446C2312yes—
169C8×Q8—22no—
170C8×Q8—22no—
171C8×Q8—22no—
172C8×Q8C2314yes—
173C8×Q8C2312yes—
174C8×Q8C2314yes—
175C8×Q8C2312yes—
176#441C2×C414yes—
177#441C2×C414yes—
178#440C2×C414yes—
179#440C2×C414yes—
180C4×Q16C2314yes—
181C4×Q16C2314yes—
182C4×SD16C2314yes—
183C4×SD16C2314yes—
184#436—22no—
185#436—22no—
186#436—22no—
187#436C2312yes—
188#436C2312yes—
189#435—22no—
190#435—22no—
191#435—22no—
192#435—22no—
193C8×D4—22no—
194C8×D4—22no—
195C8×D4—22no—
196C8×D4C2312yes—
197C8×D4C2312yes—
198#433—22no—
199#433—22no—
200#433—22no—
201#433—22no—
202#432—21no—
203#432—21no—
204#432—21no—
205#432—21no—
206#432—21no—
207#432—22no—
208#432—24no—
209#432—24no—
210#432C2×C411yescharacteristic
211#432C2×C411yescharacteristic
212#432C2×C412yes—
213#432C2312yes—
214#432C2312yes—
215#432C2312yes—
216#431—21no—
217#431—22no—
218#431—24no—
219#431—24no—
220#431D412yes—
221#431D412yes—
222#431C2312yes—
223#431C2312yes—
224#431C2312yes—
225#431C2312yes—
226#431C2312yes—
227#431C2312yes—
228#431C2312yes—
229#428C2×C414yes—
230#423—21no—
231#423—22no—
232#423C2×C412yes—
233#423C2311yescharacteristic
234#423C2311yescharacteristic
235C2×C4⋊C8—21no—
236C2×C4⋊C8—21no—
237C2×C4⋊C8—21no—
238C2×C4⋊C8—21no—
239C2×C4⋊C8—22no—
240C2×C4⋊C8D411yescharacteristic
241C2×C4⋊C8D411yescharacteristic
242C2×C4⋊C8C2311yescharacteristic
243C2×C4⋊C8C2311yescharacteristic
244#419C2×C414yes—
245#417C2×C414yes—
246#408—22no—
247#408—22no—
248#407—21no—
249#407—21no—
250#407C2×C412yes—
251C2×C22⋊C8—21no—
252C2×C22⋊C8D411yescharacteristic
253C2×C22⋊C8D411yescharacteristic
254#405—22no—
255#405—22no—
256C4×M16—21no—
257C4×M16C2312yes—
258C4×M16C2312yes—
259C2×#97—21no—
260C2×#97—21no—
261C2×#97—21no—
262C2×C4×C8—21no—
263C2×C4×C8—21no—
264C2×C4×C8C2311yescharacteristic
265C2×C4×C8C2311yescharacteristic
266#335C2314yes—
267#335C2314yes—
268#334C2314yes—
269#334C2314yes—
270Q8⋊C8C2314yes—
271Q8⋊C8C2314yes—
272Q8⋊C8C2314yes—
273Q8⋊C8C2314yes—
274Q8⋊C8C2314yes—
275Q8⋊C8C2314yes—
276D4⋊C8C2314yes—
277D4⋊C8C2314yes—
278#322C2314yes—
279#322C2314yes—
280#322C2314yes—
281C82C2314yes—
282C2×#41—21no—
283C2×#41—21no—
284C2×#41C22×C412yes—
285C22×Q8—21no—
286C22×Q8—21no—
287C22×Q8—21no—
288C22×Q8—44no—
289C22×Q8C22×C411yescharacteristic
290C22×Q8C22×C412yes—
291C22×Q8C22×C412yes—
292C22×Q8C22×C411yescharacteristic
293C23×C4—21no—
294C23×C4—21no—
295C23×C4C22×C411yescharacteristic
296C23×C4C2×D411yescharacteristic
297C23×C4#4111yescharacteristic
298#137—48no—
299C2×Q16C22×C414yes—
300C2×Q16C22×C414yes—
301C2×SD16C22×C414yes—
302C2×SD16C22×C414yes—
303C2×M16—22no—
304C2×M16—21no—
305C2×M16—21no—
306C2×M16—22no—
307C2×M16—22no—
308C2×M16C22×C414yes—
309C22×C8—21no—
310C22×C8—21no—
311C22×C8—22no—
312C22×C8—22no—
313C22×C8C2×D411yescharacteristic
314C22×C8C2×D411yescharacteristic
315C22×C8C2×D411yescharacteristic
316C22×C8C2×D411yescharacteristic
317C4⋊Q8C22×C411yescharacteristic
318C4⋊Q8C22×C411yescharacteristic
319C4⋊Q8C22×C411yescharacteristic
320#127C22×C411yescharacteristic
321#126—22no—
322#126—22no—
323#125—21no—
324#125—21no—
325#125C22×C412yes—
326#124—21no—
327#124—21no—
328#124C22×C412yes—
329#123—22no—
330#123—22no—
331#123—22no—
332C22⋊Q8—21no—
333C22⋊Q8—21no—
334C22⋊Q8—21no—
335C22⋊Q8—21no—
336C22⋊Q8C22×C412yes—
337C22⋊Q8C22×C412yes—
338#121—21no—
339#121—21no—
340#121—21no—
341#121—21no—
342#121C22×C412yes—
343#121C22×C412yes—
344#120—22no—
345C4×Q8—22no—
346C4×Q8—21no—
347C4×Q8—22no—
348C4×Q8—22no—
349C4×Q8—21no—
350C4×Q8—21no—
351C4×Q8—21no—
352C4×Q8—22no—
353C4×Q8—21no—
354C4×Q8—21no—
355C4×Q8—21no—
356C4×Q8—21no—
357C4×Q8—22no—
358C4×Q8—22no—
359C4×Q8—21no—
360C4×Q8—21no—
361C4×Q8—21no—
362C4×Q8—21no—
363C4×Q8—22no—
364C4×Q8—22no—
365C4×Q8C22×C412yes—
366C4×Q8C22×C412yes—
367C4×Q8C22×C412yes—
368C4×Q8C22×C412yes—
369C4×Q8C22×C412yes—
370C4×Q8C22×C412yes—
371C4×Q8C22×C412yes—
372C4×Q8C2412yes—
373C4×Q8C2412yes—
374C4×Q8C2412yes—
375C4×D4—22no—
376C4×D4—22no—
377C4×D4—22no—
378C4×D4—22no—
379C4×D4—22no—
380C4×D4—22no—
381C4×D4—21no—
382C4×D4—21no—
383C4×D4—21no—
384C4×D4—21no—
385C4×D4C22×C412yes—
386C4×D4C2412yes—
387#117—21no—
388#117—21no—
389#117—22no—
390#117—22no—
391#117—22no—
392#117C22×C412yes—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—22no—
397C2×C4⋊C4—21no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—22no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4C22×C412yes—
405C2×C4⋊C4C22×C411yescharacteristic
406C2×C4⋊C4C22×C411yescharacteristic
407C2×C4⋊C4C22×C412yes—
408C2×C42—21no—
409C2×C42—22no—
410C2×C42—21no—
411C2×C42—22no—
412C2×C42—21no—
413C2×C42—21no—
414C2×C42—22no—
415C2×C42—22no—
416C2×C42—22no—
417C2×C42C22×C411yescharacteristic
418C2×C42C22×C411yescharacteristic
419C2×C42C22×C411yescharacteristic
420C2×C42C2×D411yescharacteristic
421C2×C42C2×D411yescharacteristic
422C2×C42C2×D411yescharacteristic
423C2×C42#4111yescharacteristic
424C2×C42#4111yescharacteristic
425C2×C42#4111yescharacteristic
426C2×C42C2411yescharacteristic
427C2×C42C2411yescharacteristic
428C2×C42C2411yescharacteristic
429#107C22×C414yes—
430#107C22×C414yes—
431#106C22×C414yes—
432#106C22×C414yes—
433C4⋊C8—24no—
434C4⋊C8—24no—
435C4⋊C8—24no—
436C4⋊C8—24no—
437C4⋊C8—22no—
438C4⋊C8—22no—
439C4⋊C8—22no—
440C4⋊C8—22no—
441C4⋊C8—21no—
442C4⋊C8—21no—
443C4⋊C8—21no—
444C4⋊C8—21no—
445C4⋊C8—22no—
446C4⋊C8—22no—
447C4⋊C8C22×C412yes—
448C4⋊C8C22×C412yes—
449C4⋊C8C22×C414yes—
450C4⋊C8C2×D412yes—
451C4⋊C8C2×D412yes—
452C4⋊C8C2×D412yes—
453C4⋊C8C2×D412yes—
454C4⋊C8C2412yes—
455C4⋊C8C2412yes—
456C4⋊C8C2412yes—
457C4⋊C8C2412yes—
458#103C22×C414yes—
459#103C22×C414yes—
460#103C22×C414yes—
461#103C22×C414yes—
462#103C22×C414yes—
463#103C22×C414yes—
464#102C22×C414yes—
465#102C22×C414yes—
466C22⋊C8—22no—
467C22⋊C8—22no—
468C22⋊C8—22no—
469C22⋊C8—22no—
470C22⋊C8—22no—
471C22⋊C8—22no—
472C22⋊C8—22no—
473C22⋊C8—22no—
474C22⋊C8—22no—
475C22⋊C8—22no—
476C22⋊C8C22×C412yes—
477C22⋊C8C22×C412yes—
478C22⋊C8C22×C414yes—
479C22⋊C8C2×D412yes—
480C22⋊C8C2×D412yes—
481C22⋊C8C2×D412yes—
482C22⋊C8C2×D412yes—
483#97—24no—
484#97—24no—
485#97—22no—
486#97—22no—
487#97—22no—
488#97—22no—
489#97—22no—
490#97—22no—
491#97C22×C412yes—
492#97C22×C412yes—
493C4×C8—24no—
494C4×C8—24no—
495C4×C8—22no—
496C4×C8—22no—
497C4×C8—22no—
498C4×C8C2×D412yes—
499C4×C8C2×D412yes—
500C4×C8C2414yes—
501C4×C8C2414yes—
502C4×C8C2412yes—
503C4×C8C2412yes—
504C24C4×D411yescharacteristic
505#41—44no—
506#41—44no—
507#41—81no—
508#41—81no—
509C2×Q8—24no—
510C2×Q8—21no—
511C2×Q8—22no—
512C2×Q8—22no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—24no—
517C2×Q8—24no—
518C2×Q8—42no—
519C2×Q8—42no—
520C2×Q8—42no—
521C2×Q8—44no—
522C2×Q8—44no—
523C2×Q8—44no—
524C2×Q8C23×C412yes—
525C2×Q8C23×C412yes—
526C2×Q8C23×C412yes—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—22no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4C23×C412yes—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—21no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—42no—
545C22×C4—41no—
546C22×C4—41no—
547C22×C4—42no—
548C22×C4—44no—
549C22×C4—44no—
550C22×C4C4×D411yescharacteristic
551C22×C4C4×D411yescharacteristic
552C22×C4C4×D411yescharacteristic
553C22×C4C4×D411yescharacteristic
554C22×C4C4×D411yescharacteristic
555C22×C4C4×D411yescharacteristic
556C22×C4C4×D411yescharacteristic
557C22×C4C4×D411yescharacteristic
558C22×C4C4×D411yescharacteristic
559C22×C4C23×C411yescharacteristic
560C22×C4C23×C411yescharacteristic
561C22×C4C23×C411yescharacteristic
562C22×C4C22×D411yescharacteristic
563C22×C4C22×D411yescharacteristic
564C22×C4C22×D411yescharacteristic
565C22×C4C2×#4111yescharacteristic
566C22×C4C2×#4111yescharacteristic
567C22×C4C2×#4111yescharacteristic
568Q16—28no—
569Q16—44no—
570SD16—28no—
571SD16—44no—
572M16—44no—
573M16—44no—
574M16—82no—
575M16—82no—
576M16—81no—
577M16—81no—
578C2×C8—22no—
579C2×C8—22no—
580C2×C8—22no—
581C2×C8—22no—
582C2×C8—24no—
583C2×C8—41no—
584C2×C8—41no—
585C2×C8—41no—
586C2×C8—41no—
587C2×C8—42no—
588C2×C8—42no—
589C2×C8—82no—
590C2×C8—82no—
591C2×C8C23×C414yes—
592C2×C8C23×C414yes—
593C2×C8C22×D412yes—
594C2×C8C22×D412yes—
595C2×C8C22×D412yes—
596C2×C8C22×D412yes—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—22no—
602C4⋊C4—22no—
603C4⋊C4—22no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—22no—
607C4⋊C4—21no—
608C4⋊C4—21no—
609C4⋊C4—21no—
610C4⋊C4—21no—
611C4⋊C4—22no—
612C4⋊C4—22no—
613C4⋊C4—22no—
614C4⋊C4—22no—
615C4⋊C4—22no—
616C4⋊C4—22no—
617C4⋊C4—22no—
618C4⋊C4—22no—
619C4⋊C4C23×C412yes—
620C4⋊C4C23×C412yes—
621C4⋊C4C23×C412yes—
622C4⋊C4C23×C412yes—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—22no—
626C22⋊C4—22no—
627C22⋊C4—22no—
628C22⋊C4—22no—
629C22⋊C4—22no—
630C22⋊C4—22no—
631C22⋊C4—22no—
632C42—22no—
633C42—22no—
634C42—22no—
635C42—22no—
636C42—22no—
637C42—22no—
638C42—22no—
639C42—22no—
640C42—22no—
641C42—22no—
642C42—22no—
643C42C4×D411yescharacteristic
644C42C4×D411yescharacteristic
645C42C4×D411yescharacteristic
646C42C4×D411yescharacteristic
647C42C4×D411yescharacteristic
648C42C4×D411yescharacteristic
649C42C23×C411yescharacteristic
650C42C23×C411yescharacteristic
651C42C23×C411yescharacteristic
652C42C22×D411yescharacteristic
653C42C22×D411yescharacteristic
654C42C22×D411yescharacteristic
655C42C2×#4111yescharacteristic
656C42C2×#4111yescharacteristic
657C42C2×#4111yescharacteristic
658C42C2511yescharacteristic
659C23—22no—
660C23—22no—
661C23—41no—
662C23—41no—
663C23C2×C4×D411yescharacteristic
664C23C2×C4×D411yescharacteristic
665C23C2×C4×D411yescharacteristic
666Q8—24no—
667Q8—22no—
668Q8—22no—
669Q8—24no—
670Q8—22no—
671Q8—44no—
672Q8—44no—
673Q8—42no—
674Q8—42no—
675Q8—81no—
676Q8#56814yes—
677D4—24no—
678D4—42no—
679D4—44no—
680D4—81no—
681D4—82no—
682D4—82no—
683C2×C4—24no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—22no—
697C2×C4—22no—
698C2×C4—22no—
699C2×C4—22no—
700C2×C4—22no—
701C2×C4—22no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—41no—
711C2×C4—41no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—82no—
723C2×C4C2×C4×D411yescharacteristic
724C2×C4C2×C4×D411yescharacteristic
725C2×C4C2×C4×D411yescharacteristic
726C2×C4C2×C4×D411yescharacteristic
727C2×C4C2×C4×D411yescharacteristic
728C2×C4C2×C4×D411yescharacteristic
729C2×C4C2×C4×D411yescharacteristic
730C2×C4C2×C4×D411yescharacteristic
731C2×C4C2×C4×D411yescharacteristic
732C2×C4C24×C411yescharacteristic
733C2×C4C23×D411yescharacteristic
734C2×C4C22×#4111yescharacteristic
735C8—22no—
736C8—22no—
737C8—22no—
738C8—22no—
739C8—24no—
740C8—24no—
741C8—44no—
742C8—42no—
743C8—42no—
744C8—42no—
745C8—42no—
746C22—21no—
747C22—21no—
748C22—21no—
749C22—21no—
750C22—21no—
751C22—21no—
752C22—21no—
753C22—21no—
754C22—44no—
755C22—42no—
756C22—42no—
757C22—42no—
758C22#295512yes—
759C22C22×C4×D411yescharacteristic
760C4—21no—
761C4—21no—
762C4—21no—
763C4—21no—
764C4—21no—
765C4—21no—
766C4—21no—
767C4—24no—
768C4—21no—
769C4—21no—
770C4—21no—
771C4—42no—
772C4—42no—
773C4—42no—
774C4—42no—
775C4—42no—
776C4—42no—
777C4C2×#56812yes—
778C4#358611yescharacteristic
779C4#358611yescharacteristic
780C2—22no—
781C2—41no—
782C2—41no—
783C2—82no—
784C2#6014111yescharacteristic
785C2#6016911yescharacteristic
786C2C2×#295511yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC42C25
socleC22C22×C4×D4
prime radical#3444C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C2×#431 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#2984C2semidirect
4. #18053C2semidirect
5. #18051C2semidirect
6. #18032C2semidirect
7. #18030C2semidirect
8. #17943C2semidirect
9. #17939C2semidirect
10. #17915C2semidirect
11. #17911C2semidirect
12. #17821C2semidirect
14. #17449C2semidirect
15. #17324C2semidirect
61. #1593C22semidirect
62. #1592C22semidirect
63. #1591C22semidirect
64. #1590C22semidirect
65. #1588C22semidirect
66. #1587C22semidirect
67. #1587C22semidirect
68. #1585C22semidirect
69. #1584C22semidirect
70. #1584C22semidirect
71. #1583C22semidirect
72. #1582C22semidirect
73. #1579C22semidirect
74. SD16⋊C8C22semidirect
75. C8×Q16C22semidirect
76. C8×SD16C22semidirect

Maximal subgroups

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

subgroupindex
#605602
#602922
C2×#29842
#180532
#180512
#180322
#180302
#179432
#179392
#179152
#179112
#178212
#174942
#174492
#173242