Finite Group Databasebeta

← #6386074

Subgroups — #6386074

Order 512.

4262 conjugacy classes of subgroups.

The subgroup lattice has 1543 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62811C211yesmaximal, characteristic
2#60231C211yesmaximal, characteristic, complemented
3#34082C211yesmaximal, characteristic, complemented
4#22435C214yesmaximal, complemented
5#22434C214yesmaximal, complemented
6#22434C214yesmaximal, complemented
7D4×#104C214yesmaximal, complemented
8#21817C212yesmaximal, complemented
9#21775C212yesmaximal, complemented
10#21774C211yesmaximal, characteristic, complemented
11#21773C211yesmaximal, characteristic, complemented
12#20749C212yesmaximal, complemented
13#20606C212yesmaximal, complemented
14#20605C211yesmaximal, characteristic, complemented
15C2×#1789C211yesmaximal, characteristic, complemented
16C2×#585C2211yescharacteristic
17C23×#41C2211yescharacteristic
18#3489—21no—
19#3489—21no—
20#3489C412yescomplemented
21#3489C412yescomplemented
22#3488—21no—
23#3488—21no—
24#3488C412yescomplemented
25#3488C412yescomplemented
26#3487C412yescomplemented
27#3486C412yescomplemented
28#3485—22no—
29#3485C412yescomplemented
30#3484—22no—
31#3484C412yescomplemented
32D4×#41—22no—
33D4×#41—22no—
34D4×#41C2214yes—
35D4×#41C2214yes—
36#3449—22no—
37#3449C2211yescharacteristic
38#3449C2211yescharacteristic
39C2×#525—22no—
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42#3428C2211yescharacteristic
43#2978—22no—
44#2977—22no—
45#2976—22no—
46#2976—22no—
47D4×M16C2214yescomplemented
48D4×M16C2214yescomplemented
49#2921C2212yescomplemented
50C2×#421C2212yescomplemented
51C2×#421C2212yescomplemented
52C2×#421C2214yescomplemented
53C22×#104C2212yescomplemented
54C22×#104C2212yescomplemented
55C22×#104C2214yescomplemented
56#2879C2212yescomplemented
57C2×#407C2211yescharacteristic, complemented
58C2×#407C2211yescharacteristic, complemented
59#2335—22no—
60#2333—21no—
61#2332—21no—
62#2329—21no—
63#2325—21no—
64#2321—22no—
65#2298C2212yescomplemented
66#2297C2212yescomplemented
67#2293C2212yescomplemented
68#2290C2212yescomplemented
69#2290C2212yescomplemented
70#2280C2211yescharacteristic, complemented
71C42×D4C2212yescomplemented
72C2×C4×C22⋊C4C2211yescharacteristic, complemented
73#1980C2214yescomplemented
74#1980C2214yescomplemented
75#1963C2214yescomplemented
76#1962C2214yescomplemented
77#1897C2212yescomplemented
78#1897C2212yescomplemented
79#1897C2214yescomplemented
80#1896C2212yescomplemented
81#1896C2212yescomplemented
82#1896C2214yescomplemented
83#1871C2214yescomplemented
84#1871C2214yescomplemented
85#1871C2214yescomplemented
86#1871C2214yescomplemented
87#1826C2212yescomplemented
88#1826C2212yescomplemented
89#1806C2214yescomplemented
90#1806C2214yescomplemented
91#1789C2212yes—
92#1789C2212yes—
93#1789C2212yescomplemented
94#1789C2212yescomplemented
95#1789C2214yescomplemented
96#1789C2214yescomplemented
97#1789C2212yescomplemented
98#1789C2212yescomplemented
99#1789C2214yescomplemented
100#1789C2214yescomplemented
101#1759C2214yescomplemented
102C4×#104C2214yescomplemented
103#585—44no—
104#585—44no—
105C2×2−1+4—21no—
106C2×2−1+4C2×C412yescomplemented
107C2×2−1+4C2×C412yescomplemented
108C2×H(5,𝔽2)—22no—
109C2×H(5,𝔽2)—21no—
110C2×H(5,𝔽2)C2×C412yescomplemented
111C2×H(5,𝔽2)C2×C412yescomplemented
112C22×#41—22no—
113C22×#41—22no—
114C22×#41—21no—
115C22×#41—21no—
116C22×#41—21no—
117C22×#41—21no—
118C22×#41—21no—
119C22×#41—21no—
120C22×#41—44no—
121C22×#41—44no—
122C22×#41C2×C411yescharacteristic, complemented
123C22×#41C2×C411yescharacteristic, complemented
124C22×#41C2×C412yescomplemented
125C22×#41C2×C412yescomplemented
126C22×#41C2311yescharacteristic
127C22×#41C2312yes—
128C22×#41C2312yes—
129C22×#41C2314yes—
130C22×#41C2311yescharacteristic
131C22×#41C2311yescharacteristic
132C22×#41C2311yescharacteristic
133C23×Q8C2×C411yescharacteristic, complemented
134C23×D4—21no—
135C23×D4C2×C411yescharacteristic, complemented
136C24×C4—21no—
137C24×C4C2311yescharacteristic
138C22×M16C2312yes—
139C22×M16C2312yes—
140C22×M16C2314yescomplemented
141#550—22no—
142#550—22no—
143#550C2×C414yescomplemented
144#550C2×C414yescomplemented
145D4×Q8—22no—
146D4×Q8—22no—
147D4×Q8C2×C414yescomplemented
148D4×Q8C2×C414yescomplemented
149#548—22no—
150#548—22no—
151#548—22no—
152#548—22no—
153#548C2×C414yescomplemented
154#548C2×C414yescomplemented
155#548C2×C414yescomplemented
156#548C2×C414yescomplemented
157#547—24no—
158#547—24no—
159#547—22no—
160#547—22no—
161#547—24no—
162#547—24no—
163#547C2×C414yescomplemented
164#547C2×C414yescomplemented
165#546—24no—
166#546—24no—
167#546—22no—
168#546—22no—
169#546—22no—
170#546—22no—
171#546—24no—
172#546—24no—
173#546—24no—
174#546—24no—
175#546—24no—
176#546—24no—
177#546C2×C414yescomplemented
178#546C2×C414yescomplemented
179#546C2×C414yescomplemented
180#546C2×C414yescomplemented
181D42—24no—
182D42—24no—
183D42—22no—
184D42—22no—
185D42—24no—
186D42—24no—
187D42C2×C414yescomplemented
188D42C2×C414yescomplemented
189#537—22no—
190#537—22no—
191#537—22no—
192#537—22no—
193#537—21no—
194#537—21no—
195#537C2×C412yescomplemented
196#537C2×C412yescomplemented
197#536—21no—
198#536—24no—
199#536—22no—
200#536—22no—
201#536C2×C412yescomplemented
202#536C2×C412yescomplemented
203#536C2×C412yescomplemented
204#535—21no—
205#535—22no—
206#535—22no—
207#535—24no—
208#535C2×C412yescomplemented
209#535C2×C412yescomplemented
210#535C2×C412yescomplemented
211#534—22no—
212#534—24no—
213#534—24no—
214#534—22no—
215#532—22no—
216#532—24no—
217#532—24no—
218#532C2314yes—
219#525—22no—
220#525—21no—
221#525—21no—
222#525—21no—
223#525—21no—
224#525—24no—
225#525—22no—
226#525—22no—
227#525—22no—
228#525—22no—
229#525—24no—
230#525—24no—
231#525—24no—
232#525—24no—
233#525—24no—
234#525—22no—
235#525—22no—
236#525C2×C412yes—
237#525C2×C412yes—
238#525C2×C412yes—
239#525C2×C412yes—
240#525C2×C412yescomplemented
241#525C2×C412yescomplemented
242#525D412yes—
243#525D412yes—
244#525D412yes—
245#525D412yes—
246#525C2312yes—
247#525C2314yes—
248#525C2312yes—
249C2×#123—21no—
250C2×#123—24no—
251C2×#123D412yes—
252C2×C22⋊Q8—22no—
253C2×C22⋊Q8—22no—
254C2×C22⋊Q8C2×C411yescharacteristic, complemented
255C2×C22⋊Q8C2×C411yescharacteristic, complemented
256C2×C22⋊Q8D411yescharacteristic
257C2×C22⋊Q8D411yescharacteristic
258C2×#121—22no—
259C2×#121—22no—
260C2×#121C2×C411yescharacteristic, complemented
261C2×#121C2×C411yescharacteristic, complemented
262C2×#121D411yescharacteristic
263C2×#121D411yescharacteristic
264C2×#120—21no—
265C2×#120—24no—
266C2×#120D412yes—
267#520—21no—
268#520—21no—
269#520C2×C412yescomplemented
270#520C2×C412yescomplemented
271#519C2×C412yescomplemented
272#518—22no—
273#518C2×C412yescomplemented
274C4×#41—22no—
275C4×#41C2314yes—
276C2×C4×D4—21no—
277C2×C4×D4—21no—
278C2×C4×D4—24no—
279C2×C4×D4—24no—
280C2×C4×D4—22no—
281C2×C4×D4C2312yes—
282C2×C4×D4C2312yes—
283C2×#117—22no—
284C2×#117C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C2×#117C2311yescharacteristic
288C2×#117C2312yescomplemented
289C22×C22⋊C4—21no—
290C22×C42C2311yescharacteristic
291C22×C42C2311yescharacteristic
292C22×C42C2312yescomplemented
293#436—24no—
294#436—24no—
295#435—24no—
296#435—24no—
297#435—24no—
298#435—24no—
299C8×D4—24no—
300C8×D4—24no—
301#433—24no—
302#433—24no—
303#423C2314yescomplemented
304#421—44no—
305#421—48no—
306#421—44no—
307C2×#104—44no—
308C2×#104—48no—
309C2×#104—44no—
310C2×#104C2314yes—
311C2×#104C2314yes—
312C2×#104C2314yes—
313C2×#104C2314yes—
314C2×#104C2314yes—
315C2×#104C2314yes—
316C2×#104C2314yes—
317C2×#104C2314yes—
318C2×#104C2314yescomplemented
319C2×#104C2314yescomplemented
320C2×#104C2314yescomplemented
321C2×#104C2314yescomplemented
322#408—24no—
323#408—24no—
324#407—21no—
325#407—21no—
326#407—21no—
327#407—21no—
328#407C2312yes—
329#407C2312yes—
330#407C2312yes—
331#407C2312yes—
332#407C2314yescomplemented
333C2×C22⋊C8—21no—
334C2×C22⋊C8—21no—
335C2×C22⋊C8—21no—
336C2×C22⋊C8—21no—
337C4×M16C2314yescomplemented
338#391—22no—
339#390—22no—
340#390—22no—
341#389—22no—
342#388—22no—
343#388—22no—
344#388—22no—
345#388—22no—
346#388—22no—
347#388—22no—
348#387—22no—
349#387—22no—
350#387—22no—
351#387—22no—
352#386—22no—
353#386—22no—
354#386—22no—
355#386—22no—
356#385—22no—
357#385—22no—
358#381—21no—
359#380—21no—
360#380—21no—
361#379—21no—
362C4×C4⋊C4—22no—
363C4×C4⋊C4C2312yescomplemented
364C4×C4⋊C4C2312yescomplemented
365C4×C22⋊C4—21no—
366C4×C22⋊C4—21no—
367C4×C22⋊C4—22no—
368C4×C22⋊C4—22no—
369C4×C22⋊C4C2312yes—
370C4×C22⋊C4C2312yes—
371C4×C22⋊C4C2312yes—
372C4×C22⋊C4C2312yes—
373C4×C22⋊C4C2312yescomplemented
374C4×C22⋊C4C2312yescomplemented
375#376C2312yescomplemented
376C2×#95—21no—
377C43C2312yescomplemented
378#339C2314yescomplemented
379#339C2314yescomplemented
380#339C2314yescomplemented
381#339C2314yescomplemented
382C25—21no—
383C25C2×D411yescharacteristic
3842−1+4—48no—
3852−1+4—44no—
3862−1+4—44no—
3872−1+4—44no—
3882−1+4—44no—
389H(5,𝔽2)—48no—
390H(5,𝔽2)—44no—
391H(5,𝔽2)—48no—
392H(5,𝔽2)—48no—
393H(5,𝔽2)—44no—
394H(5,𝔽2)—44no—
395H(5,𝔽2)—44no—
396C2×#41—24no—
397C2×#41—24no—
398C2×#41—22no—
399C2×#41—22no—
400C2×#41—24no—
401C2×#41—22no—
402C2×#41—24no—
403C2×#41—22no—
404C2×#41—22no—
405C2×#41—22no—
406C2×#41—21no—
407C2×#41—21no—
408C2×#41—22no—
409C2×#41—22no—
410C2×#41—21no—
411C2×#41—21no—
412C2×#41—21no—
413C2×#41—21no—
414C2×#41—21no—
415C2×#41—22no—
416C2×#41—24no—
417C2×#41—22no—
418C2×#41—21no—
419C2×#41—21no—
420C2×#41—21no—
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—24no—
424C2×#41—24no—
425C2×#41—24no—
426C2×#41—24no—
427C2×#41—24no—
428C2×#41—28no—
429C2×#41—28no—
430C2×#41—42no—
431C2×#41—42no—
432C2×#41—42no—
433C2×#41—42no—
434C2×#41—42no—
435C2×#41—42no—
436C2×#41—42no—
437C2×#41—42no—
438C2×#41—44no—
439C2×#41—44no—
440C2×#41—42no—
441C2×#41—42no—
442C2×#41—48no—
443C2×#41—48no—
444C2×#41—48no—
445C2×#41—44no—
446C2×#41—44no—
447C2×#41—44no—
448C2×#41—44no—
449C2×#41—44no—
450C2×#41—44no—
451C2×#41—44no—
452C2×#41—44no—
453C2×#41—48no—
454C2×#41—48no—
455C2×#41—44no—
456C2×#41—44no—
457C2×#41—44no—
458C2×#41—44no—
459C2×#41—416no—
460C2×#41C22×C412yes—
461C2×#41C22×C412yes—
462C2×#41C22×C412yes—
463C2×#41C22×C414yes—
464C2×#41C22×C412yes—
465C2×#41C22×C412yes—
466C2×#41C22×C414yes—
467C2×#41C22×C412yes—
468C2×#41C22×C412yes—
469C2×#41C22×C412yes—
470C2×#41C22×C412yes—
471C2×#41C2×D412yes—
472C2×#41C2×D412yes—
473C2×#41C2412yes—
474C2×#41C2412yes—
475C2×#41C2412yes—
476C22×Q8—22no—
477C22×Q8—22no—
478C22×Q8—21no—
479C22×Q8—21no—
480C22×Q8—21no—
481C22×Q8—44no—
482C22×Q8C22×C411yescharacteristic
483C22×Q8C22×C412yes—
484C22×Q8C22×C412yes—
485C22×Q8C22×C414yes—
486C22×Q8C22×C411yescharacteristic
487C22×Q8C22×C411yescharacteristic
488C22×Q8C2×D411yescharacteristic
489C22×D4—21no—
490C22×D4—21no—
491C22×D4—21no—
492C22×D4—22no—
493C22×D4—22no—
494C22×D4—21no—
495C22×D4—21no—
496C22×D4—22no—
497C22×D4—22no—
498C22×D4—24no—
499C22×D4—21no—
500C22×D4—21no—
501C22×D4—24no—
502C22×D4—22no—
503C22×D4—24no—
504C22×D4—22no—
505C22×D4—24no—
506C22×D4—24no—
507C22×D4—21no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—44no—
511C22×D4—44no—
512C22×D4—44no—
513C22×D4C22×C411yescharacteristic
514C22×D4C22×C412yes—
515C22×D4C22×C412yes—
516C22×D4C22×C414yes—
517C22×D4C22×C411yescharacteristic
518C22×D4C22×C411yescharacteristic
519C22×D4C2×D412yes—
520C22×D4C2×D412yes—
521C22×D4C2×D411yescharacteristic
522C22×D4C2×D412yes—
523C23×C4—21no—
524C23×C4—21no—
525C23×C4—21no—
526C23×C4—22no—
527C23×C4—22no—
528C23×C4—21no—
529C23×C4—21no—
530C23×C4—22no—
531C23×C4—22no—
532C23×C4—24no—
533C23×C4—21no—
534C23×C4—21no—
535C23×C4—21no—
536C23×C4—22no—
537C23×C4—42no—
538C23×C4—42no—
539C23×C4—48no—
540C23×C4C22×C411yescharacteristic
541C23×C4C22×C411yescharacteristic
542C23×C4C22×C411yescharacteristic
543C23×C4C22×C411yescharacteristic
544C23×C4C2×D411yescharacteristic
545C23×C4C2×D411yescharacteristic
546C23×C4C2×D411yescharacteristic
547C23×C4C2×D411yescharacteristic
548C23×C4C2×D411yescharacteristic
549C23×C4C2×D411yescharacteristic
550C23×C4C2×D411yescharacteristic
551C23×C4C2411yescharacteristic
552C23×C4C2411yescharacteristic
553C23×C4C2412yes—
554C23×C4C2411yescharacteristic
555C2×M16—22no—
556C2×M16—22no—
557C2×M16—24no—
558C2×M16—42no—
559C2×M16—42no—
560C2×M16—42no—
561C2×M16—42no—
562C2×M16—44no—
563C2×M16—44no—
564C2×M16C2414yes—
565C2×M16C2414yes—
566C22×C8—22no—
567C22×C8—22no—
568C22×C8—24no—
569C4⋊Q8—22no—
570C4⋊Q8—24no—
571C4⋊Q8—24no—
572C4⋊Q8C22×C414yes—
573#127—24no—
574#127—24no—
575#127—22no—
576#127C22×C414yes—
577#124—22no—
578#124—22no—
579#124—24no—
580#124—24no—
581#124—24no—
582#124—24no—
583#124C22×C414yes—
584#124C22×C414yes—
585#123—24no—
586#123—22no—
587#123—22no—
588#123—22no—
589#123—22no—
590#123—24no—
591#123—24no—
592#123—24no—
593#123—24no—
594#123—24no—
595#123—24no—
596#123—24no—
597#123—24no—
598#123—24no—
599#123—24no—
600#123—24no—
601#123C22⋊C414yes—
602#123C22⋊C414yes—
603#123C22⋊C414yes—
604#123C22⋊C414yes—
605C22⋊Q8—22no—
606C22⋊Q8—22no—
607C22⋊Q8—21no—
608C22⋊Q8—21no—
609C22⋊Q8—21no—
610C22⋊Q8—21no—
611C22⋊Q8—22no—
612C22⋊Q8—22no—
613C22⋊Q8—24no—
614C22⋊Q8—24no—
615C22⋊Q8—24no—
616C22⋊Q8—24no—
617C22⋊Q8—22no—
618C22⋊Q8—22no—
619C22⋊Q8—24no—
620C22⋊Q8—24no—
621C22⋊Q8—24no—
622C22⋊Q8—24no—
623C22⋊Q8C22⋊C412yes—
624C22⋊Q8C22⋊C412yes—
625C22⋊Q8C22⋊C412yes—
626C22⋊Q8C22⋊C412yes—
627C22⋊Q8C22⋊C412yes—
628C22⋊Q8C22⋊C412yes—
629C22⋊Q8C22⋊C412yes—
630C22⋊Q8C22⋊C412yes—
631C22⋊Q8C22×C412yes—
632C22⋊Q8C22×C412yes—
633C22⋊Q8C22×C412yes—
634C22⋊Q8C22×C412yes—
635C22⋊Q8C22×C414yes—
636C22⋊Q8C22×C414yes—
637#121—22no—
638#121—22no—
639#121—24no—
640#121—24no—
641#121—24no—
642#121—24no—
643#121—24no—
644#121—24no—
645#121—24no—
646#121—24no—
647#121—21no—
648#121—21no—
649#121—21no—
650#121—21no—
651#121—24no—
652#121—24no—
653#121—22no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—24no—
658#121—24no—
659#121—24no—
660#121—24no—
661#121—24no—
662#121—24no—
663#121—24no—
664#121—24no—
665#121—24no—
666#121—24no—
667#121C22⋊C412yes—
668#121C22⋊C412yes—
669#121C22⋊C412yes—
670#121C22⋊C412yes—
671#121C22⋊C412yes—
672#121C22⋊C412yes—
673#121C22⋊C412yes—
674#121C22⋊C412yes—
675#121C22×C412yes—
676#121C22×C412yes—
677#121C22×C412yes—
678#121C22×C412yes—
679#121C22×C414yes—
680#121C22×C414yes—
681#120—22no—
682#120—22no—
683#120—22no—
684#120—22no—
685#120—24no—
686#120—24no—
687#120—24no—
688#120—24no—
689#120—24no—
690#120—24no—
691#120—24no—
692#120—24no—
693#120—24no—
694#120—24no—
695#120—24no—
696#120—24no—
697#120C22⋊C414yes—
698#120C22⋊C414yes—
699#120C22⋊C414yes—
700#120C22⋊C414yes—
701C4×Q8—22no—
702C4×Q8—22no—
703C4×Q8C22×C414yes—
704C4×Q8C22×C414yes—
705C4×D4—24no—
706C4×D4—24no—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—22no—
710C4×D4—22no—
711C4×D4—22no—
712C4×D4—22no—
713C4×D4—22no—
714C4×D4—24no—
715C4×D4—24no—
716C4×D4—22no—
717C4×D4—24no—
718C4×D4—24no—
719C4×D4—24no—
720C4×D4—24no—
721C4×D4—22no—
722C4×D4—22no—
723C4×D4—24no—
724C4×D4—24no—
725C4×D4—24no—
726C4×D4—24no—
727C4×D4—24no—
728C4×D4—24no—
729C4×D4—24no—
730C4×D4—24no—
731C4×D4—48no—
732C4×D4C22×C414yes—
733C4×D4C22×C414yes—
734C4×D4C22×C414yes—
735C4×D4C22×C414yes—
736C4×D4C22×C414yes—
737C4×D4C22×C414yes—
738C4×D4C2×D414yes—
739C4×D4C2×D414yes—
740C4×D4C2×D414yes—
741C4×D4C2×D414yes—
742#117—21no—
743#117—21no—
744#117—22no—
745#117—22no—
746#117—24no—
747#117—24no—
748#117—42no—
749#117—42no—
750#117—44no—
751#117C22×C412yes—
752#117C22×C412yes—
753#117C22×C412yes—
754#117C2×D412yes—
755#117C2×D412yes—
756#117C2412yes—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—22no—
760C2×C4⋊C4—22no—
761C2×C4⋊C4—24no—
762C2×C4⋊C4—24no—
763C2×C4⋊C4—22no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—22no—
767C2×C4⋊C4—22no—
768C2×C4⋊C4C22×C411yescharacteristic
769C2×C4⋊C4C22×C411yescharacteristic
770C2×C4⋊C4C2×D411yescharacteristic
771C2×C4⋊C4C2×D411yescharacteristic
772C2×C4⋊C4C2×D412yes—
773C2×C4⋊C4C2×D412yes—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—24no—
780C2×C22⋊C4—24no—
781C2×C22⋊C4—24no—
782C2×C22⋊C4—24no—
783C2×C22⋊C4—24no—
784C2×C22⋊C4—22no—
785C2×C22⋊C4—22no—
786C2×C22⋊C4—22no—
787C2×C22⋊C4—22no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—22no—
791C2×C22⋊C4—22no—
792C2×C22⋊C4—22no—
793C2×C22⋊C4—44no—
794C2×C22⋊C4C2×D412yes—
795C2×C22⋊C4C2×D412yes—
796C2×C22⋊C4C2×D412yes—
797C2×C22⋊C4C2×D412yes—
798C2×C22⋊C4C2×D412yes—
799C2×C42—21no—
800C2×C42—24no—
801C2×C42—22no—
802C2×C42—22no—
803C2×C42—21no—
804C2×C42—21no—
805C2×C42—22no—
806C2×C42—42no—
807C2×C42—42no—
808C2×C42—44no—
809C2×C42C2412yes—
810C2×C42C2412yes—
811C2×C42C2412yes—
812C2×C42C2412yes—
813C2×C42C2412yes—
814C4⋊C8—24no—
815C4⋊C8—24no—
816#104—28no—
817#104—28no—
818#104—28no—
819#104—28no—
820#104—44no—
821#104—44no—
822#104—44no—
823#104—44no—
824#104—44no—
825#104—44no—
826#104—44no—
827#104—44no—
828C22⋊C8—22no—
829C22⋊C8—22no—
830C22⋊C8—22no—
831C22⋊C8—22no—
832C22⋊C8—22no—
833C22⋊C8—22no—
834C22⋊C8—22no—
835C22⋊C8—22no—
836C22⋊C8—24no—
837C22⋊C8—24no—
838#97—24no—
839C4×C8—24no—
840#95—22no—
841#95—22no—
842#95—22no—
843#95—22no—
844#95—22no—
845#95—22no—
846#95—22no—
847#95—22no—
848#95—22no—
849#95—22no—
850C24—21no—
851C24—22no—
852C24—22no—
853C24—24no—
854C24—21no—
855C24—21no—
856C24—42no—
857C24—41no—
858C24—41no—
859C24—44no—
860C24—82no—
861C24—81no—
862C24—82no—
863C24C2×C22⋊C411yescharacteristic
864C24C2×C22⋊C411yescharacteristic
865C24C2×C22⋊C411yescharacteristic
866C24C2×C22⋊C411yescharacteristic
867C24C22×D411yescharacteristic
868C24C22×D411yescharacteristic
869C24C22×D411yescharacteristic
870C24C22×D412yes—
871#41—28no—
872#41—24no—
873#41—24no—
874#41—24no—
875#41—24no—
876#41—22no—
877#41—22no—
878#41—24no—
879#41—24no—
880#41—28no—
881#41—24no—
882#41—24no—
883#41—28no—
884#41—22no—
885#41—22no—
886#41—24no—
887#41—22no—
888#41—22no—
889#41—24no—
890#41—42no—
891#41—44no—
892#41—42no—
893#41—44no—
894#41—42no—
895#41—42no—
896#41—44no—
897#41—44no—
898#41—48no—
899#41—44no—
900#41—44no—
901#41—48no—
902#41—42no—
903#41—42no—
904#41—42no—
905#41—42no—
906#41—42no—
907#41—42no—
908#41—44no—
909#41—44no—
910#41—44no—
911#41—44no—
912#41—44no—
913#41—44no—
914#41—44no—
915#41—48no—
916#41—48no—
917#41—48no—
918#41—48no—
919#41—42no—
920#41—42no—
921#41—44no—
922#41—44no—
923#41—416no—
924#41—48no—
925#41—48no—
926#41—42no—
927#41—42no—
928#41—48no—
929#41—48no—
930#41—44no—
931#41—44no—
932#41—416no—
933#41—48no—
934#41—44no—
935#41—44no—
936#41—48no—
937#41H(5,𝔽2)14yes—
938#41H(5,𝔽2)14yes—
939C2×Q8—24no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—24no—
943C2×Q8—22no—
944C2×Q8—22no—
945C2×Q8—21no—
946C2×Q8—24no—
947C2×Q8—24no—
948C2×Q8—28no—
949C2×Q8—41no—
950C2×Q8—41no—
951C2×Q8—42no—
952C2×Q8—42no—
953C2×Q8—42no—
954C2×Q8—42no—
955C2×Q8—44no—
956C2×Q8—44no—
957C2×Q8—48no—
958C2×Q8—44no—
959C2×Q8—44no—
960C2×Q8—48no—
961C2×Q8C2×C22⋊C412yes—
962C2×Q8C2×C22⋊C412yes—
963C2×Q8C23×C412yes—
964C2×Q8C23×C412yes—
965C2×Q8C23×C412yes—
966C2×D4—24no—
967C2×D4—24no—
968C2×D4—22no—
969C2×D4—22no—
970C2×D4—24no—
971C2×D4—24no—
972C2×D4—24no—
973C2×D4—28no—
974C2×D4—22no—
975C2×D4—22no—
976C2×D4—22no—
977C2×D4—24no—
978C2×D4—22no—
979C2×D4—22no—
980C2×D4—22no—
981C2×D4—24no—
982C2×D4—22no—
983C2×D4—22no—
984C2×D4—22no—
985C2×D4—22no—
986C2×D4—24no—
987C2×D4—24no—
988C2×D4—22no—
989C2×D4—22no—
990C2×D4—21no—
991C2×D4—24no—
992C2×D4—22no—
993C2×D4—22no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—24no—
997C2×D4—24no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—44no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—41no—
1006C2×D4—41no—
1007C2×D4—44no—
1008C2×D4—48no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—48no—
1015C2×D4—48no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C2×D4—48no—
1019C2×D4—48no—
1020C2×D4—416no—
1021C2×D4—48no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—416no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—82no—
1030C2×D4—88no—
1031C2×D4—82no—
1032C2×D4—88no—
1033C2×D4—82no—
1034C2×D4C2×C22⋊C414yes—
1035C2×D4C2×C22⋊C414yes—
1036C2×D4C2×C22⋊C414yes—
1037C2×D4C2×C22⋊C414yes—
1038C2×D4C2×C22⋊C414yes—
1039C2×D4C2×C22⋊C414yes—
1040C2×D4C2×C22⋊C412yes—
1041C2×D4C2×C22⋊C412yes—
1042C2×D4C23×C412yes—
1043C2×D4C23×C412yes—
1044C2×D4C23×C412yes—
1045C22×C4—28no—
1046C22×C4—21no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—24no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—24no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—21no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—24no—
1061C22×C4—21no—
1062C22×C4—22no—
1063C22×C4—24no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—24no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—24no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—24no—
1077C22×C4—24no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—42no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—42no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—42no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—48no—
1100C22×C4—48no—
1101C22×C4—44no—
1102C22×C4—44no—
1103C22×C4—48no—
1104C22×C4—48no—
1105C22×C4—44no—
1106C22×C4—44no—
1107C22×C4—44no—
1108C22×C4—44no—
1109C22×C4—42no—
1110C22×C4—81no—
1111C22×C4—82no—
1112C22×C4—81no—
1113C22×C4—81no—
1114C22×C4—82no—
1115C22×C4—81no—
1116C22×C4C2×C22⋊C411yescharacteristic
1117C22×C4C2×C22⋊C411yescharacteristic
1118C22×C4C2×C22⋊C411yescharacteristic
1119C22×C4C2×C22⋊C411yescharacteristic
1120C22×C4C2×C22⋊C411yescharacteristic
1121C22×C4C2×C22⋊C411yescharacteristic
1122C22×C4C2×C22⋊C411yescharacteristic
1123C22×C4C2×C22⋊C411yescharacteristic
1124C22×C4C2×C22⋊C411yescharacteristic
1125C22×C4C2×C22⋊C411yescharacteristic
1126C22×C4C2×C22⋊C411yescharacteristic
1127C22×C4C2×C22⋊C411yescharacteristic
1128C22×C4C23×C411yescharacteristic
1129C22×C4C23×C411yescharacteristic
1130C22×C4C23×C411yescharacteristic
1131C22×C4C23×C411yescharacteristic
1132C22×C4C23×C411yescharacteristic
1133C22×C4C23×C411yescharacteristic
1134C22×C4C23×C414yes—
1135C22×C4C22×D411yescharacteristic
1136C22×C4C22×D411yescharacteristic
1137C22×C4C22×D412yes—
1138C22×C4C22×D411yescharacteristic
1139C22×C4C22×D411yescharacteristic
1140C22×C4C22×D411yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4C22×D414yes—
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D412yes—
1147C22×C4C22×D412yes—
1148C22×C4C2511yescharacteristic
1149M16—24no—
1150M16—24no—
1151M16—24no—
1152M16—24no—
1153M16—82no—
1154M16—82no—
1155M16—84no—
1156C2×C8—24no—
1157C2×C8—24no—
1158C2×C8—82no—
1159C2×C8—82no—
1160C2×C8—84no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—24no—
1166C4⋊C4—24no—
1167C4⋊C4—24no—
1168C4⋊C4—24no—
1169C4⋊C4—24no—
1170C4⋊C4—24no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—44no—
1174C4⋊C4—81no—
1175C4⋊C4—81no—
1176C4⋊C4—82no—
1177C4⋊C4—82no—
1178C4⋊C4C2×C22⋊C412yes—
1179C4⋊C4C2×C22⋊C412yes—
1180C4⋊C4C2×C22⋊C414yes—
1181C4⋊C4C2×C22⋊C414yes—
1182C4⋊C4C2×C22⋊C412yes—
1183C4⋊C4C2×C22⋊C412yes—
1184C4⋊C4C2×C22⋊C414yes—
1185C4⋊C4C2×C22⋊C414yes—
1186C4⋊C4C23×C412yes—
1187C4⋊C4C23×C412yes—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—24no—
1192C22⋊C4—24no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—24no—
1199C22⋊C4—24no—
1200C22⋊C4—24no—
1201C22⋊C4—24no—
1202C22⋊C4—24no—
1203C22⋊C4—24no—
1204C22⋊C4—24no—
1205C22⋊C4—24no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—81no—
1213C22⋊C4—82no—
1214C22⋊C4—81no—
1215C22⋊C4—82no—
1216C22⋊C4—82no—
1217C22⋊C4C2×C22⋊C414yes—
1218C22⋊C4C2×C22⋊C414yes—
1219C22⋊C4C2×C22⋊C414yes—
1220C22⋊C4C2×C22⋊C414yes—
1221C22⋊C4C2×C22⋊C414yes—
1222C22⋊C4C2×C22⋊C414yes—
1223C22⋊C4C2×C22⋊C414yes—
1224C22⋊C4C2×C22⋊C414yes—
1225C22⋊C4C2×C22⋊C414yes—
1226C22⋊C4C2×C22⋊C414yes—
1227C42—24no—
1228C42—24no—
1229C42—22no—
1230C42—22no—
1231C42—24no—
1232C42—24no—
1233C42—24no—
1234C42—24no—
1235C42—44no—
1236C42—81no—
1237C42—81no—
1238C42—82no—
1239C42—82no—
1240C42C23×C414yes—
1241C42C22×D414yes—
1242C23—24no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—21no—
1247C23—21no—
1248C23—22no—
1249C23—21no—
1250C23—21no—
1251C23—22no—
1252C23—21no—
1253C23—21no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—42no—
1263C23—41no—
1264C23—42no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—44no—
1275C23—44no—
1276C23—48no—
1277C23—42no—
1278C23—44no—
1279C23—42no—
1280C23—44no—
1281C23—82no—
1282C23—81no—
1283C23—82no—
1284C23—81no—
1285C23—81no—
1286C23—81no—
1287C23—81no—
1288C23—84no—
1289C23—81no—
1290C23—84no—
1291C23—84no—
1292C23—84no—
1293C23—816no—
1294C23C22×C22⋊C411yescharacteristic
1295C23C22×C22⋊C411yescharacteristic
1296C23C22×C22⋊C414yes—
1297C23C22×C22⋊C411yescharacteristic
1298C23C22×C22⋊C411yescharacteristic
1299C23C22×C22⋊C411yescharacteristic
1300C23C22×C22⋊C411yescharacteristic
1301C23C23×D411yescharacteristic
1302Q8—24no—
1303Q8—22no—
1304Q8—22no—
1305Q8—22no—
1306Q8—24no—
1307Q8—42no—
1308Q8—42no—
1309Q8—44no—
1310Q8—44no—
1311Q8—48no—
1312Q8—42no—
1313Q8—42no—
1314Q8#51814yes—
1315D4—28no—
1316D4—24no—
1317D4—28no—
1318D4—24no—
1319D4—24no—
1320D4—22no—
1321D4—22no—
1322D4—22no—
1323D4—24no—
1324D4—42no—
1325D4—42no—
1326D4—44no—
1327D4—44no—
1328D4—44no—
1329D4—44no—
1330D4—44no—
1331D4—44no—
1332D4—44no—
1333D4—48no—
1334D4—44no—
1335D4—44no—
1336D4—48no—
1337D4—42no—
1338D4—42no—
1339D4—44no—
1340D4—44no—
1341D4—48no—
1342D4—44no—
1343D4—44no—
1344D4—44no—
1345D4—44no—
1346D4—42no—
1347D4—42no—
1348D4—42no—
1349D4—42no—
1350D4—84no—
1351D4—84no—
1352D4—84no—
1353D4—82no—
1354D4—84no—
1355D4—82no—
1356D4#51814yes—
1357C2×C4—24no—
1358C2×C4—28no—
1359C2×C4—22no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—22no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—22no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—24no—
1375C2×C4—24no—
1376C2×C4—22no—
1377C2×C4—24no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—24no—
1382C2×C4—22no—
1383C2×C4—24no—
1384C2×C4—24no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—42no—
1392C2×C4—42no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—48no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—48no—
1413C2×C4—48no—
1414C2×C4—44no—
1415C2×C4—44no—
1416C2×C4—42no—
1417C2×C4—42no—
1418C2×C4—42no—
1419C2×C4—42no—
1420C2×C4—42no—
1421C2×C4—42no—
1422C2×C4—44no—
1423C2×C4—42no—
1424C2×C4—42no—
1425C2×C4—42no—
1426C2×C4—42no—
1427C2×C4—42no—
1428C2×C4—42no—
1429C2×C4—42no—
1430C2×C4—42no—
1431C2×C4—42no—
1432C2×C4—84no—
1433C2×C4—84no—
1434C2×C4—81no—
1435C2×C4—81no—
1436C2×C4—84no—
1437C2×C4—88no—
1438C2×C4—84no—
1439C2×C4C22×C22⋊C411yescharacteristic
1440C2×C4C22×C22⋊C414yes—
1441C2×C4C22×C22⋊C414yes—
1442C2×C4C22×C22⋊C411yescharacteristic
1443C2×C4C22×C22⋊C411yescharacteristic
1444C2×C4C22×C22⋊C414yes—
1445C2×C4C22×C22⋊C411yescharacteristic
1446C2×C4C22×C22⋊C411yescharacteristic
1447C2×C4C22×C22⋊C411yescharacteristic
1448C2×C4C24×C411yescharacteristic
1449C2×C4C23×D411yescharacteristic
1450C2×C4C2×H(5,𝔽2)12yes—
1451C2×C4C2×H(5,𝔽2)12yes—
1452C8—44no—
1453C8—44no—
1454C22—21no—
1455C22—21no—
1456C22—21no—
1457C22—21no—
1458C22—21no—
1459C22—21no—
1460C22—21no—
1461C22—24no—
1462C22—21no—
1463C22—21no—
1464C22—24no—
1465C22—21no—
1466C22—24no—
1467C22—21no—
1468C22—21no—
1469C22—21no—
1470C22—21no—
1471C22—21no—
1472C22—21no—
1473C22—21no—
1474C22—24no—
1475C22—21no—
1476C22—21no—
1477C22—42no—
1478C22—42no—
1479C22—44no—
1480C22—42no—
1481C22—42no—
1482C22—42no—
1483C22—42no—
1484C22—42no—
1485C22—42no—
1486C22—42no—
1487C22—42no—
1488C22—82no—
1489C22—82no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—82no—
1495C22—88no—
1496C22—84no—
1497C22—82no—
1498C22—82no—
1499C22—88no—
1500C22—84no—
1501C22—168no—
1502C22—162no—
1503C22#290112yes—
1504C22C23×C22⋊C411yescharacteristic
1505C22#348411yescharacteristic
1506C22#348411yescharacteristic
1507C4—21no—
1508C4—24no—
1509C4—21no—
1510C4—21no—
1511C4—21no—
1512C4—21no—
1513C4—24no—
1514C4—21no—
1515C4—24no—
1516C4—24no—
1517C4—44no—
1518C4—42no—
1519C4—42no—
1520C4—42no—
1521C4—42no—
1522C4—82no—
1523C4—82no—
1524C4—82no—
1525C4C2×#51812yes—
1526C4#348412yes—
1527C2—21no—
1528C2—21no—
1529C2—22no—
1530C2—41no—
1531C2—41no—
1532C2—41no—
1533C2—41no—
1534C2—41no—
1535C2—44no—
1536C2—44no—
1537C2—82no—
1538C2—82no—
1539C2#3417111yescharacteristic
1540C2C2×#290111yescharacteristic
1541C2#6009311yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
socleC22C23×C22⋊C4
prime radical#62811C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #60231C2semidirect
3. #34082C2semidirect
4. #22435C2semidirect
5. #22434C2semidirect
6. #22434C2semidirect
7. D4×#104C2semidirect
8. #21817C2semidirect
9. #21775C2semidirect
10. #21774C2semidirect
11. #21773C2semidirect
12. #20749C2semidirect
13. #20606C2semidirect
14. #20605C2semidirect
15. C2×#1789C2semidirect
20. #3489C4semidirect
21. #3489C4semidirect
24. #3488C4semidirect
25. #3488C4semidirect
26. #3487C4semidirect
27. #3486C4semidirect
29. #3485C4semidirect
31. #3484C4semidirect
47. D4×M16C22semidirect
48. D4×M16C22semidirect
49. #2921C22semidirect
50. C2×#421C22semidirect
51. C2×#421C22semidirect
52. C2×#421C22semidirect
53. C22×#104C22semidirect
54. C22×#104C22semidirect
55. C22×#104C22semidirect
56. #2879C22semidirect
57. C2×#407C22semidirect
58. C2×#407C22semidirect
65. #2298C22semidirect
66. #2297C22semidirect
67. #2293C22semidirect
68. #2290C22semidirect
69. #2290C22semidirect
70. #2280C22semidirect
71. C42×D4C22semidirect
72. C2×C4×C22⋊C4C22semidirect
73. #1980C22semidirect
74. #1980C22semidirect
75. #1963C22semidirect
76. #1962C22semidirect
77. #1897C22semidirect
78. #1897C22semidirect
79. #1897C22semidirect
80. #1896C22semidirect
81. #1896C22semidirect
82. #1896C22semidirect
83. #1871C22semidirect
84. #1871C22semidirect
85. #1871C22semidirect
86. #1871C22semidirect
87. #1826C22semidirect
88. #1826C22semidirect
89. #1806C22semidirect
90. #1806C22semidirect
93. #1789C22semidirect
94. #1789C22semidirect
95. #1789C22semidirect
96. #1789C22semidirect
97. #1789C22semidirect
98. #1789C22semidirect
99. #1789C22semidirect
100. #1789C22semidirect
101. #1759C22semidirect
102. C4×#104C22semidirect
106. C2×2−1+4C2×C4semidirect
107. C2×2−1+4C2×C4semidirect
110. C2×H(5,𝔽2)C2×C4semidirect
111. C2×H(5,𝔽2)C2×C4semidirect
122. C22×#41C2×C4semidirect
123. C22×#41C2×C4semidirect
124. C22×#41C2×C4semidirect
125. C22×#41C2×C4semidirect
133. C23×Q8C2×C4semidirect
135. C23×D4C2×C4semidirect
140. C22×M16C23semidirect
143. #550C2×C4semidirect
144. #550C2×C4semidirect
147. D4×Q8C2×C4semidirect
148. D4×Q8C2×C4semidirect
153. #548C2×C4semidirect
154. #548C2×C4semidirect
155. #548C2×C4semidirect
156. #548C2×C4semidirect
163. #547C2×C4semidirect
164. #547C2×C4semidirect
177. #546C2×C4semidirect
178. #546C2×C4semidirect
179. #546C2×C4semidirect
180. #546C2×C4semidirect
187. D42C2×C4semidirect
188. D42C2×C4semidirect
195. #537C2×C4semidirect
196. #537C2×C4semidirect
201. #536C2×C4semidirect
202. #536C2×C4semidirect
203. #536C2×C4semidirect
208. #535C2×C4semidirect
209. #535C2×C4semidirect
210. #535C2×C4semidirect
240. #525C2×C4semidirect
241. #525C2×C4semidirect
254. C2×C22⋊Q8C2×C4semidirect
255. C2×C22⋊Q8C2×C4semidirect
260. C2×#121C2×C4semidirect
261. C2×#121C2×C4semidirect
269. #520C2×C4semidirect
270. #520C2×C4semidirect
271. #519C2×C4semidirect
273. #518C2×C4semidirect
288. C2×#117C23semidirect
292. C22×C42C23semidirect
303. #423C23semidirect
318. C2×#104C23semidirect
319. C2×#104C23semidirect
320. C2×#104C23semidirect
321. C2×#104C23semidirect
332. #407C23semidirect
337. C4×M16C23semidirect
363. C4×C4⋊C4C23semidirect
364. C4×C4⋊C4C23semidirect
373. C4×C22⋊C4C23semidirect
374. C4×C22⋊C4C23semidirect
375. #376C23semidirect
377. C43C23semidirect
378. #339C23semidirect
379. #339C23semidirect
380. #339C23semidirect
381. #339C23semidirect

Maximal subgroups

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

subgroupindex
#628112
#602312
#340822
#224352
#224342
D4×#1042
#218172
#217752
#217742
#217732
#207492
#206062
#206052
C2×#17892