Finite Group Databasebeta

← #6388809

Subgroups — #6388809

Order 512.

1637 conjugacy classes of subgroups.

The subgroup lattice has 797 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60484C211yesmaximal, characteristic
2#60251C211yesmaximal, characteristic, complemented
3#60128C211yesmaximal, characteristic
4#23082C214yesmaximal, complemented
5#22984C214yesmaximal, complemented
6#22608C214yesmaximal, complemented
7#22588C214yesmaximal
8#22132C214yesmaximal, complemented
9#21970C211yesmaximal, characteristic, complemented
10#21845C211yesmaximal, characteristic, complemented
11#21629C214yesmaximal, complemented
12#20748C211yesmaximal, characteristic
13#20551C211yesmaximal, characteristic, complemented
14C2×#533C2211yescharacteristic
15C2×C4×#41C2211yescharacteristic
16#3080C412yescomplemented
17#3080C412yescomplemented
18#3079C411yescharacteristic, complemented
19#3079C411yescharacteristic, complemented
20#3079C411yescharacteristic, complemented
21#3079C411yescharacteristic, complemented
22#3078C412yescomplemented
23#3078C412yescomplemented
24#3077C412yescomplemented
25#3077C412yescomplemented
26#3076C2212yes—
27#3076C2212yes—
28#3076C2212yes—
29#3076C2212yes—
30#2987—21no—
31#2987—21no—
32#2985—22no—
33#2984—22no—
34#2983—22no—
35#2962C2214yescomplemented
36#2961C2214yescomplemented
37#2925—22no—
38#2925C2212yes—
39#2924—22no—
40#2924C2214yes—
41#2924C2212yes—
42#2923—22no—
43#2923C2212yes—
44#2920—21no—
45#2920C2211yescharacteristic
46#2920C2211yescharacteristic
47C2×#432—21no—
48C2×#432C2211yescharacteristic
49#2911C2212yes—
50#2906C2212yes—
51C2×#423C2211yescharacteristic
52#2896C2212yes—
53#2880C2212yes—
54#2875C2212yes—
55#2283C2211yescharacteristic
56#1995C2214yescomplemented
57#1986C2214yescomplemented
58#1950C2214yescomplemented
59#1950C2214yescomplemented
60#1946C2214yescomplemented
61#1945C2214yescomplemented
62#1938C2214yes—
63#1937C2214yes—
64#1929C2214yes—
65#1929C2214yes—
66#1922C2214yescomplemented
67#1922C2214yescomplemented
68#1922C2214yescomplemented
69#1922C2214yescomplemented
70#1866C2214yes—
71#1866C2214yes—
72#1826C2212yes—
73#1826C2214yes—
74#1811C2214yes—
75#1806C2212yes—
76#1806C2212yes—
77#1789C2212yes—
78#1773C2214yescomplemented
79#1772C2214yescomplemented
80#1771C2214yescomplemented
81#1768C2214yescomplemented
82#1765C2214yes—
83#1764C2214yes—
84#1759C2212yes—
85#1759C2212yes—
86#1753C2214yes—
87C22×#41C2311yescharacteristic
88C2×#131C2314yes—
89C22×M16C2312yes—
90#533—21no—
91#533—21no—
92#533—21no—
93#533—21no—
94#533C2×C412yes—
95#533C2×C412yes—
96#533C2312yes—
97#533C2312yes—
98C2×C4⋊Q8C2×C411yescharacteristic
99C2×C4⋊Q8C2×C411yescharacteristic
100C2×#125C2×C412yes—
101C2×C22⋊Q8—21no—
102C2×C22⋊Q8—21no—
103C4×#41—21no—
104C4×#41—21no—
105C4×#41—21no—
106C4×#41—21no—
107C4×#41C2×C411yescharacteristic
108C4×#41C2×C411yescharacteristic
109C4×#41C2×C411yescharacteristic
110C4×#41C2×C411yescharacteristic
111C4×#41C2311yescharacteristic
112C4×#41C2311yescharacteristic
113C4×#41C2311yescharacteristic
114C4×#41C2311yescharacteristic
115C2×C4×Q8—21no—
116C2×C4×Q8—21no—
117C2×C4×Q8C2×C411yescharacteristic
118C2×C4×Q8C2×C411yescharacteristic
119C2×C4×D4—21no—
120C2×C4×D4—21no—
121C2×C4×D4C2×C411yescharacteristic
122C2×C4×D4C2×C411yescharacteristic
123C2×#117—21no—
124C2×#117C2312yes—
125C2×#117C2311yescharacteristic
126C22×C42—21no—
127C22×C42C2311yescharacteristic
128#479C2×C414yes—
129#479C2×C414yes—
130#479C2×C414yes—
131#479C2×C414yes—
132#478C2×C414yes—
133#478C2×C414yes—
134#478C2×C414yes—
135#478C2×C414yes—
136#477C2×C412yes—
137#477C2×C412yes—
138#477C2×C412yes—
139#477C2×C412yes—
140#476C2×C412yes—
141#476C2×C412yes—
142#476C2×C412yes—
143#476C2×C412yes—
144#475C2×C412yes—
145#475C2×C412yes—
146#475C2×C412yes—
147#475C2×C412yes—
148#474C2×C412yes—
149#474C2×C412yes—
150#474C2×C412yes—
151#474C2×C412yes—
152#446—24no—
153#446—24no—
154#446—24no—
155#446—24no—
156#446—24no—
157#446—24no—
158#446—24no—
159C8×Q8—24no—
160#433—24no—
161#433—24no—
162#433—24no—
163#433—24no—
164#433—24no—
165#432—21no—
166#432—21no—
167#432—21no—
168#432—21no—
169#432—22no—
170#432—22no—
171#432—24no—
172#432—22no—
173#432—22no—
174#432D411yescharacteristic
175#432D411yescharacteristic
176#432D412yes—
177#432D412yes—
178#432D412yes—
179#431—21no—
180#431—21no—
181#431—21no—
182#431—21no—
183#431—22no—
184#431—22no—
185#431—24no—
186C2×#108C2314yes—
187C2×#108C2314yes—
188#428C2×C414yes—
189#428C2×C414yes—
190#428C2×C412yes—
191#428C2×C412yes—
192#428C2×C412yes—
193#428C2×C412yes—
194#427C2314yes—
195#427C2314yes—
196#424—24no—
197#424C2314yes—
198#424C2314yes—
199#424C2314yes—
200#423—22no—
201#423C2×C412yes—
202#423C2×C412yes—
203#423C2×C411yescharacteristic
204#423C2×C411yescharacteristic
205#423C2×C412yes—
206#423C2312yes—
207#423C2312yes—
208C2×C4⋊C8—22no—
209C2×C4⋊C8C2312yes—
210C2×C4⋊C8C2312yes—
211C2×C4⋊C8C2312yes—
212C2×#104C2314yes—
213C2×#104C2314yes—
214#419C2×C414yes—
215#418C2×C414yes—
216#417C2×C412yes—
217#417C2×C412yes—
218#417C2×C412yes—
219#417C2×C412yes—
220#416C2314yes—
221#416C2314yes—
222#408—24no—
223#408C2314yes—
224#407—22no—
225#407C2312yes—
226#407C2312yes—
227C2×C22⋊C8—22no—
228C2×C22⋊C8C2312yes—
229#405—24no—
230#405C2314yes—
231#405C2314yes—
232#405C2314yes—
233C4×M16—22no—
234C4×M16C2312yes—
235C4×M16C2312yes—
236C2×#97—22no—
237C2×#97C2314yes—
238C2×#97C2312yes—
239C2×C4×C8C2314yes—
240#383—21no—
241#382—21no—
242#381—21no—
243#380—21no—
244C4×C4⋊C4C2312yes—
245C4×C22⋊C4C2312yes—
246#376C2312yes—
247#341C2314yes—
248#341C2314yes—
249#339C2314yes—
250#339C2314yes—
251#339C2314yes—
252#339C2314yes—
253#339C2314yes—
254#339C2314yes—
255#336C2314yes—
256#336C2314yes—
257C2×#41—21no—
258C2×#41—21no—
259C2×#41—24no—
260C2×#41—42no—
261C2×#41C22×C411yescharacteristic
262C2×#41C22×C411yescharacteristic
263C2×#41C2411yescharacteristic
264C2×#41C2411yescharacteristic
265C22×Q8—21no—
266C22×Q8—21no—
267C22×Q8C22×C411yescharacteristic
268C22×D4—21no—
269C22×D4C22×C411yescharacteristic
270C23×C4—21no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4#4111yescharacteristic
274C23×C4#4111yescharacteristic
275C23×C4C2411yescharacteristic
276#131—28no—
277#131—44no—
278C2×M16—24no—
279C2×M16—42no—
280C2×M16—42no—
281C2×M16C22×C412yes—
282C2×M16C22×C412yes—
283C2×M16C22×C414yes—
284C2×M16C2414yes—
285C2×M16C2414yes—
286C22×C8—24no—
287C22×C8C2414yes—
288C22×C8C2414yes—
289C4⋊Q8—21no—
290C4⋊Q8—21no—
291C4⋊Q8—21no—
292C4⋊Q8—21no—
293C4⋊Q8C22×C412yes—
294C4⋊Q8C22×C412yes—
295C4⋊Q8C22×C412yes—
296C4⋊Q8C22×C412yes—
297#125—22no—
298#125—22no—
299#125C22×C414yes—
300#125C22×C414yes—
301C22⋊Q8—22no—
302C22⋊Q8—22no—
303C22⋊Q8—22no—
304C22⋊Q8—22no—
305C22⋊Q8—22no—
306C22⋊Q8—22no—
307C22⋊Q8—22no—
308C22⋊Q8—22no—
309C4×Q8—22no—
310C4×Q8—22no—
311C4×Q8—22no—
312C4×Q8—22no—
313C4×Q8—21no—
314C4×Q8—21no—
315C4×Q8—21no—
316C4×Q8—21no—
317C4×Q8—22no—
318C4×Q8—22no—
319C4×Q8—22no—
320C4×Q8—22no—
321C4×Q8C22×C411yescharacteristic
322C4×Q8C22×C411yescharacteristic
323C4×Q8C22×C411yescharacteristic
324C4×Q8C22×C411yescharacteristic
325C4×Q8C22×C411yescharacteristic
326C4×Q8C22×C411yescharacteristic
327C4×Q8C22×C411yescharacteristic
328C4×Q8C22×C411yescharacteristic
329C4×D4—21no—
330C4×D4—21no—
331C4×D4—21no—
332C4×D4—21no—
333C4×D4—21no—
334C4×D4—21no—
335C4×D4—21no—
336C4×D4—21no—
337C4×D4—21no—
338C4×D4—21no—
339C4×D4—21no—
340C4×D4—21no—
341C4×D4—21no—
342C4×D4—21no—
343C4×D4—21no—
344C4×D4—21no—
345C4×D4—21no—
346C4×D4—21no—
347C4×D4—21no—
348C4×D4—21no—
349C4×D4C22×C411yescharacteristic
350C4×D4C22×C411yescharacteristic
351C4×D4C22×C411yescharacteristic
352C4×D4C22×C411yescharacteristic
353C4×D4C22×C411yescharacteristic
354C4×D4C22×C411yescharacteristic
355C4×D4C22×C411yescharacteristic
356C4×D4C22×C411yescharacteristic
357#117—21no—
358#117—22no—
359#117—21no—
360#117—22no—
361#117—21no—
362#117—21no—
363#117—21no—
364#117—21no—
365#117—21no—
366#117—21no—
367#117—21no—
368#117—21no—
369#117C22×C411yescharacteristic
370#117C22×C411yescharacteristic
371#117C22×C414yes—
372#117C2411yescharacteristic
373#117C2411yescharacteristic
374#117C2414yes—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4—22no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—22no—
382C2×C4⋊C4C22×C411yescharacteristic
383C2×C4⋊C4C22×C411yescharacteristic
384C2×C4⋊C4C22×C412yes—
385C2×C4⋊C4C22×C412yes—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—22no—
391C2×C42—21no—
392C2×C42—21no—
393C2×C42—21no—
394C2×C42—22no—
395C2×C42—21no—
396C2×C42—21no—
397C2×C42—21no—
398C2×C42—21no—
399C2×C42—21no—
400C2×C42—21no—
401C2×C42—21no—
402C2×C42—21no—
403C2×C42C22×C411yescharacteristic
404C2×C42C22×C411yescharacteristic
405C2×C42C22×C411yescharacteristic
406C2×C42C22×C411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42#4111yescharacteristic
412C2×C42#4111yescharacteristic
413C2×C42C2414yes—
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416#108—44no—
417#108—44no—
418#107C22×C414yes—
419#107C22×C414yes—
420#107C22×C414yes—
421#107C22×C414yes—
422#106C22×C414yes—
423#106C22×C414yes—
424#106C22×C414yes—
425#106C22×C414yes—
426C4⋊C8—24no—
427C4⋊C8—24no—
428C4⋊C8—24no—
429C4⋊C8—24no—
430C4⋊C8—24no—
431C4⋊C8—24no—
432C4⋊C8—22no—
433C4⋊C8—22no—
434C4⋊C8—22no—
435C4⋊C8—22no—
436C4⋊C8C22×C412yes—
437C4⋊C8C22×C412yes—
438C4⋊C8C22×C412yes—
439C4⋊C8C22×C412yes—
440C4⋊C8C22×C414yes—
441C4⋊C8C22×C414yes—
442C4⋊C8C2×D412yes—
443C4⋊C8C2×D412yes—
444C4⋊C8C2×D414yes—
445#104—28no—
446#104—44no—
447#103C22×C414yes—
448#103C22×C414yes—
449#103C22×C414yes—
450#103C22×C414yes—
451#102C22×C414yes—
452#102C22×C414yes—
453#102C22×C414yes—
454#102C22×C414yes—
455C22⋊C8—22no—
456C22⋊C8—22no—
457C22⋊C8—22no—
458C22⋊C8—22no—
459C22⋊C8—24no—
460C22⋊C8—24no—
461C22⋊C8C2×D412yes—
462C22⋊C8C2×D412yes—
463C22⋊C8C2×D414yes—
464#97—24no—
465#97—24no—
466#97—24no—
467#97—22no—
468#97—22no—
469#97—44no—
470#97C2×D412yes—
471#97C2×D412yes—
472#97C2×D414yes—
473C4×C8—24no—
474C4×C8—24no—
475C4×C8—24no—
476C4×C8—22no—
477C4×C8—22no—
478C4×C8—44no—
479#95—22no—
480#95—22no—
481#95—22no—
482#95—22no—
483C24—21no—
484C24C2×#4111yescharacteristic
485#41—22no—
486#41—22no—
487#41—22no—
488#41—22no—
489#41—22no—
490#41—44no—
491#41—41no—
492#41—41no—
493#41—44no—
494#412−1+414yes—
495C2×Q8—21no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8—22no—
499C2×Q8—22no—
500C2×Q8—22no—
501C2×Q8—41no—
502C2×Q8—82no—
503C2×Q8—82no—
504C2×Q8C23×C411yescharacteristic
505C2×Q8C23×C411yescharacteristic
506C2×D4—21no—
507C2×D4—22no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—41no—
513C2×D4—44no—
514C2×D4C23×C411yescharacteristic
515C2×D4C23×C411yescharacteristic
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—24no—
536C22×C4—44no—
537C22×C4—81no—
538C22×C4—81no—
539C22×C4—82no—
540C22×C4—82no—
541C22×C4C4×D411yescharacteristic
542C22×C4C4×D411yescharacteristic
543C22×C4C4×D411yescharacteristic
544C22×C4C4×D411yescharacteristic
545C22×C4C4×D411yescharacteristic
546C22×C4C4×D411yescharacteristic
547C22×C4C4×D411yescharacteristic
548C22×C4C4×D411yescharacteristic
549C22×C4C23×C411yescharacteristic
550C22×C4C23×C411yescharacteristic
551C22×C4C22×D411yescharacteristic
552C22×C4C22×D411yescharacteristic
553C22×C4C2×#4111yescharacteristic
554C22×C4C2×#4111yescharacteristic
555C22×C4C2×#4111yescharacteristic
556C22×C4C2×#4111yescharacteristic
557C22×C4C2×#4111yescharacteristic
558C22×C4C2511yescharacteristic
559M16—24no—
560M16—24no—
561M16—24no—
562M16—24no—
563M16—44no—
564M16—42no—
565M16—42no—
566M16—48no—
567C2×C8—24no—
568C2×C8—24no—
569C2×C8—24no—
570C2×C8—24no—
571C2×C8—24no—
572C2×C8—24no—
573C2×C8—48no—
574C2×C8C23×C414yes—
575C2×C8C23×C414yes—
576C2×C8C22×D414yes—
577C2×C8C22×D414yes—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—24no—
587C4⋊C4—24no—
588C4⋊C4—24no—
589C4⋊C4—24no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—22no—
597C4⋊C4—22no—
598C4⋊C4—82no—
599C4⋊C4C23×C414yes—
600C4⋊C4C23×C414yes—
601C4⋊C4C23×C411yescharacteristic
602C4⋊C4C23×C411yescharacteristic
603C4⋊C4C23×C411yescharacteristic
604C4⋊C4C23×C411yescharacteristic
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—24no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—24no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—82no—
620C42—21no—
621C42—21no—
622C42—21no—
623C42—21no—
624C42—21no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—21no—
629C42—21no—
630C42—24no—
631C42—21no—
632C42—24no—
633C42—21no—
634C42—24no—
635C42—24no—
636C42C4×D411yescharacteristic
637C42C4×D411yescharacteristic
638C42C4×D411yescharacteristic
639C42C4×D411yescharacteristic
640C42C4×D411yescharacteristic
641C42C4×D411yescharacteristic
642C42C4×D411yescharacteristic
643C42C4×D411yescharacteristic
644C42C23×C411yescharacteristic
645C42C23×C411yescharacteristic
646C42C23×C411yescharacteristic
647C42C23×C411yescharacteristic
648C42C22×D411yescharacteristic
649C42C22×D411yescharacteristic
650C42C22×D411yescharacteristic
651C42C22×D411yescharacteristic
652C23—21no—
653C23—22no—
654C23—21no—
655C23—41no—
656C23—41no—
657C23—42no—
658C23—42no—
659C23—81no—
660C23C2×C4×D411yescharacteristic
661C23C2×C4×D411yescharacteristic
662C23C22×#4111yescharacteristic
663Q8—21no—
664Q8—21no—
665Q8—21no—
666Q8—42no—
667Q8—44no—
668Q8—82no—
669Q8—82no—
670Q8—82no—
671Q8#51912yes—
672D4—24no—
673D4—21no—
674D4—21no—
675D4—21no—
676D4—42no—
677D4—42no—
678D4—42no—
679D4—42no—
680D4#51912yes—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—24no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—81no—
721C2×C4—81no—
722C2×C4—81no—
723C2×C4—81no—
724C2×C4—81no—
725C2×C4—81no—
726C2×C4—81no—
727C2×C4—82no—
728C2×C4C2×C4×D411yescharacteristic
729C2×C4C2×C4×D411yescharacteristic
730C2×C4C2×C4×D411yescharacteristic
731C2×C4C2×C4×D411yescharacteristic
732C2×C4C2×C4×D411yescharacteristic
733C2×C4C2×C4×D411yescharacteristic
734C2×C4C2×C4×D411yescharacteristic
735C2×C4C2×C4×D411yescharacteristic
736C2×C4C2×C4×D411yescharacteristic
737C2×C4C2×C4×D411yescharacteristic
738C2×C4C24×C411yescharacteristic
739C2×C4C23×D411yescharacteristic
740C2×C4C2×2−1+412yes—
741C2×C4#58512yes—
742C8—24no—
743C8—24no—
744C8—24no—
745C8—24no—
746C8—44no—
747C8—44no—
748C22—21no—
749C22—21no—
750C22—21no—
751C22—21no—
752C22—21no—
753C22—21no—
754C22—21no—
755C22—21no—
756C22—22no—
757C22—41no—
758C22—41no—
759C22—41no—
760C22—41no—
761C22—41no—
762C22—82no—
763C22—84no—
764C22C22×C4×D411yescharacteristic
765C22#349512yes—
766C4—21no—
767C4—21no—
768C4—21no—
769C4—21no—
770C4—21no—
771C4—21no—
772C4—21no—
773C4—21no—
774C4—21no—
775C4—21no—
776C4—22no—
777C4—41no—
778C4—41no—
779C4—41no—
780C4—41no—
781C4—44no—
782C4—44no—
783C4—41no—
784C4—84no—
785C4C2×#51911yescharacteristic
786C4#342811yescharacteristic
787C4#348912yes—
788C2—22no—
789C2—41no—
790C2—41no—
791C2—42no—
792C2—81no—
793C2#3420311yescharacteristic
794C2#6018211yescharacteristic
795C2#6018211yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
socleC22C22×C4×D4
prime radicalC22×#41C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C2×#432 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #60251C2semidirect
4. #23082C2semidirect
5. #22984C2semidirect
6. #22608C2semidirect
8. #22132C2semidirect
9. #21970C2semidirect
10. #21845C2semidirect
11. #21629C2semidirect
13. #20551C2semidirect
16. #3080C4semidirect
17. #3080C4semidirect
18. #3079C4semidirect
19. #3079C4semidirect
20. #3079C4semidirect
21. #3079C4semidirect
22. #3078C4semidirect
23. #3078C4semidirect
24. #3077C4semidirect
25. #3077C4semidirect
35. #2962C22semidirect
36. #2961C22semidirect
56. #1995C22semidirect
57. #1986C22semidirect
58. #1950C22semidirect
59. #1950C22semidirect
60. #1946C22semidirect
61. #1945C22semidirect
66. #1922C22semidirect
67. #1922C22semidirect
68. #1922C22semidirect
69. #1922C22semidirect
78. #1773C22semidirect
79. #1772C22semidirect
80. #1771C22semidirect
81. #1768C22semidirect

Maximal subgroups

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

subgroupindex
#604842
#602512
#601282
#230822
#229842
#226082
#225882
#221322
#219702
#218452
#216292
#207482
#205512