Finite Group Databasebeta

← #6446187

Subgroups — #6446187

Order 512.

2180 conjugacy classes of subgroups.

The subgroup lattice has 763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3077C211yesmaximal, characteristic
2C2×Q8×M16C211yesmaximal, characteristic, complemented
3#34953C211yesmaximal, characteristic, complemented
4C2×#2538C211yesmaximal, characteristic
5#25486C214yesmaximal, complemented
6#25482C214yesmaximal, complemented
7#25478C212yesmaximal, complemented
8#25477C212yesmaximal, complemented
9#25470C212yesmaximal, complemented
10#25469C212yesmaximal, complemented
11#23670C212yesmaximal, complemented
12#23618C212yesmaximal
13#21322C211yesmaximal, characteristic, complemented
14#21171C211yesmaximal, characteristic, complemented
15#21159C212yesmaximal, complemented
16#21095C212yesmaximal
17C4×#418C211yesmaximal, characteristic
18C2×#533C2211yescharacteristic
19C22×C22⋊Q8—21no—
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22#3077—28no—
23C2×#478C2214yes—
24C2×#476C2212yes—
25C2×#474C2212yes—
26Q8×M16—28no—
27C2×#446C2212yescomplemented
28C2×#446C2214yescomplemented
29C2×C8×Q8C2212yescomplemented
30C2×#428C2212yes—
31C2×#428C2212yes—
32C2×#423C2212yes—
33C2×#423C2211yescharacteristic
34C2×#418C2212yes—
35C2×#418C2211yescharacteristic
36C2×#418C2211yescharacteristic
37C2×C4×M16C2211yescharacteristic
38C2×C4×M16C2212yes—
39#2584C2212yescomplemented
40#2584C2212yescomplemented
41#2583—22no—
42#2567C2211yescharacteristic, complemented
43#2567C2211yescharacteristic, complemented
44#2546C2211yescharacteristic, complemented
45#2546C2211yescharacteristic, complemented
46#2538—21no—
47#2538—21no—
48#2538—22no—
49#2538C2212yes—
50#2538C2212yes—
51#2538C2214yes—
52#2502—21no—
53#2434—21no—
54#2399—22no—
55C2×#396—22no—
56C4×C4⋊Q8—21no—
57C4×C4⋊Q8—21no—
58#2296C2212yes—
59#2296C2212yes—
60C2×#390C2212yes—
61C2×#389C2212yes—
62C2×#384C2211yescharacteristic
63C2×#380—21no—
64C4×#117C2211yescharacteristic
65#2088C2214yescomplemented
66#2088C2214yescomplemented
67#2087C2214yescomplemented
68#2086C2214yescomplemented
69#2067C2214yes—
70#2067C2214yes—
71#2065C2214yes—
72#2065C2214yes—
73#1992C2214yescomplemented
74#1990C2212yescomplemented
75#1990C2212yescomplemented
76#1948C2212yescomplemented
77#1948C2212yescomplemented
78#1947C2212yescomplemented
79#1947C2212yescomplemented
80#1944C2214yescomplemented
81#1943C2214yescomplemented
82#1942C2214yescomplemented
83#1941C2214yescomplemented
84#1936C2214yes—
85#1936C2214yes—
86#1934C2214yes—
87#1934C2214yes—
88#1762C2212yes—
89#1762C2212yes—
90C4×#102C2212yes—
91C4×#102C2212yes—
92#1736C2212yes—
93#1736C2212yes—
94#1736C2212yes—
95#1736C2211yescharacteristic
96#1736C2211yescharacteristic
97C23×Q8D411yescharacteristic
98C23×D4C2311yescharacteristic
99C24×C4—21no—
100C22×M16C2311yescharacteristic
101C22×M16C2312yes—
102C22×M16C2311yescharacteristic
103#533—24no—
104#533—24no—
105C2×C4⋊Q8—21no—
106C2×C4⋊Q8—21no—
107C2×C4⋊Q8C2311yescharacteristic
108C2×C4⋊Q8C2311yescharacteristic
109C2×#125C2312yes—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—24no—
112C2×C22⋊Q8—22no—
113C2×C22⋊Q8—21no—
114C2×C22⋊Q8—21no—
115C2×C22⋊Q8—48no—
116C2×C4×Q8—24no—
117C2×C4×Q8—21no—
118C2×C4×Q8—21no—
119C2×C4×Q8—24no—
120C2×C4×Q8D411yescharacteristic
121C2×C4×Q8D411yescharacteristic
122C2×C4×Q8D412yes—
123C2×C4×Q8C2311yescharacteristic
124C2×C4×Q8C2311yescharacteristic
125C2×C4×Q8C2312yes—
126C2×C4×D4—21no—
127C2×C4×D4—21no—
128C2×C4×D4—24no—
129C2×C4×D4—24no—
130C2×C4×D4C2312yes—
131C2×C4×D4C2312yes—
132C2×#117C2312yes—
133C2×#117C2311yescharacteristic
134C2×#117C2311yescharacteristic
135C22×C4⋊C4—22no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4D412yes—
139C22×C4⋊C4D411yescharacteristic
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2312yes—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—22no—
144C22×C22⋊C4—22no—
145C22×C42C2312yes—
146C22×C42C2311yescharacteristic
147#478—216no—
148#476—28no—
149#474—28no—
150#446—216no—
151#446—28no—
152C8×Q8—28no—
153#428—28no—
154#428—28no—
155C2×#107C2314yes—
156C2×#107C2314yes—
157C2×#106C2314yes—
158C2×#106C2314yes—
159#423—28no—
160#423D418yes—
161C2×C4⋊C8C2314yes—
162C2×C4⋊C8C2314yes—
163C2×C4⋊C8C2312yes—
164C2×C4⋊C8C2312yes—
165#418—28no—
166#418—24no—
167#418Q818yescomplemented
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2312yes—
171C2×#102C2312yes—
172C2×#102C2312yes—
173C2×#102C2312yes—
174C4×M16—28no—
175C4×M16—24no—
176C2×#97C2314yes—
177C2×#97C2312yes—
178C2×C4×C8C2314yes—
179C2×C4×C8C2312yes—
180#398—22no—
181#398—22no—
182#398—22no—
183#398—22no—
184#396—24no—
185#396—24no—
186#396—24no—
187#396—24no—
188#395—22no—
189#395—22no—
190#395—22no—
191#395—22no—
192#391—21no—
193#391—21no—
194#391—21no—
195#391—21no—
196#390—22no—
197#390—22no—
198#390C2314yes—
199#390C2314yes—
200#389—22no—
201#389—22no—
202#389—22no—
203#389—22no—
204#389—22no—
205#389—22no—
206#389C2312yes—
207#389C2312yes—
208#389C2312yes—
209#389C2312yes—
210#389C2312yes—
211#389C2312yes—
212#389C2312yes—
213#389C2312yes—
214#389C2314yes—
215#389C2314yes—
216#385—22no—
217#385—22no—
218#385—22no—
219#385—22no—
220#384—21no—
221#384—21no—
222#384—21no—
223#384—21no—
224#384C2312yes—
225#384C2312yes—
226#380—22no—
227#380—22no—
228#380—24no—
229C4×C4⋊C4—22no—
230C4×C4⋊C4—22no—
231C4×C4⋊C4—22no—
232C4×C4⋊C4—22no—
233C4×C4⋊C4C2311yescharacteristic
234C4×C4⋊C4C2311yescharacteristic
235C4×C4⋊C4C2311yescharacteristic
236C4×C4⋊C4C2311yescharacteristic
237C4×C22⋊C4—21no—
238C4×C22⋊C4—21no—
239#376—21no—
240C2×#95—22no—
241C43—21no—
242#340C2314yes—
243#340C2314yes—
244#340C2312yes—
245#340C2314yes—
246#340C2312yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2312yes—
251#340C2312yes—
252C25—21no—
253C22×Q8—24no—
254C22×Q8—24no—
255C22×Q8—21no—
256C22×Q8—21no—
257C22×Q8—42no—
258C22×Q8C2×D411yescharacteristic
259C22×Q8C2×D412yes—
260C22×Q8C2×D411yescharacteristic
261C22×D4—22no—
262C22×D4—21no—
263C22×D4—22no—
264C22×D4—22no—
265C22×D4—22no—
266C22×D4—22no—
267C22×D4C2×Q814yes—
268C22×D4C2412yes—
269C23×C4—22no—
270C23×C4—21no—
271C23×C4—22no—
272C23×C4—22no—
273C23×C4—44no—
274C23×C4—44no—
275C23×C4—44no—
276C23×C4C2×D412yes—
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D412yes—
279C23×C4C2×D411yescharacteristic
280C23×C4C2411yescharacteristic
281C2×M16—22no—
282C2×M16—24no—
283C2×M16—24no—
284C2×M16—22no—
285C2×M16—22no—
286C2×M16—22no—
287C2×M16—22no—
288C2×M16C2×D418yes—
289C2×M16C2×Q814yes—
290C22×C8C2412yes—
291C22×C8C2414yes—
292C22×C8C2412yes—
293C4⋊Q8—22no—
294C4⋊Q8—22no—
295C4⋊Q8—22no—
296C4⋊Q8—22no—
297C4⋊Q8—44no—
298C4⋊Q8—44no—
299#125—24no—
300#125—24no—
301C22⋊Q8—48no—
302C22⋊Q8—416no—
303C22⋊Q8—48no—
304C22⋊Q8—44no—
305C22⋊Q8—44no—
306C4×Q8—24no—
307C4×Q8—24no—
308C4×Q8—28no—
309C4×Q8—22no—
310C4×Q8—24no—
311C4×Q8—22no—
312C4×Q8—24no—
313C4×Q8—22no—
314C4×Q8—22no—
315C4×Q8—44no—
316C4×Q8—44no—
317C4×D4—24no—
318C4×D4—24no—
319C4×D4—24no—
320C4×D4—24no—
321C4×D4—44no—
322C4×D4—44no—
323#117—22no—
324#117—22no—
325#117—24no—
326#117—24no—
327#117C2×Q814yes—
328#117#4114yes—
329C2×C4⋊C4—28no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—44no—
356C2×C4⋊C4—48no—
357C2×C4⋊C4—82no—
358C2×C4⋊C4C2×D411yescharacteristic
359C2×C4⋊C4C2×D411yescharacteristic
360C2×C4⋊C4C2×D412yes—
361C2×C4⋊C4C2×D412yes—
362C2×C4⋊C4C2×D412yes—
363C2×C4⋊C4C2×D412yes—
364C2×C4⋊C4C2×D412yes—
365C2×C4⋊C4C2412yes—
366C2×C4⋊C4C2414yes—
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2411yescharacteristic
370C2×C4⋊C4C2411yescharacteristic
371C2×C4⋊C4C2411yescharacteristic
372C2×C4⋊C4C2411yescharacteristic
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—24no—
379C2×C22⋊C4—24no—
380C2×C22⋊C4—24no—
381C2×C22⋊C4—24no—
382C2×C22⋊C4—48no—
383C2×C22⋊C4—44no—
384C2×C22⋊C4—84no—
385C2×C42—21no—
386C2×C42—21no—
387C2×C42—24no—
388C2×C42—24no—
389C2×C42—22no—
390C2×C42—21no—
391C2×C42—21no—
392C2×C42—21no—
393C2×C42—21no—
394C2×C42C2×D412yes—
395C2×C42C2×D412yes—
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D414yes—
399C2×C42#4114yes—
400C2×C42C2412yes—
401C2×C42C2412yes—
402C2×C42C2411yescharacteristic
403C2×C42C2411yescharacteristic
404#107—28no—
405#107—28no—
406#106—28no—
407#106—28no—
408C4⋊C8—28no—
409C4⋊C8—28no—
410C4⋊C8C2×D418yes—
411C4⋊C8C2×D418yes—
412#102—28no—
413#102—28no—
414#102—24no—
415#102—24no—
416#102C2×Q818yescomplemented
417#102C2×Q818yescomplemented
418#97—28no—
419#97—24no—
420C4×C8—28no—
421C4×C8—24no—
422#95—24no—
423#95—24no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—21no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436C24—24no—
437C24—22no—
438C24—42no—
439C24—42no—
440C24—42no—
441C24—42no—
442C24—42no—
443C24—42no—
444C24C22×D411yescharacteristic
445C2×Q8—22no—
446C2×Q8—24no—
447C2×Q8—22no—
448C2×Q8—24no—
449C2×Q8—22no—
450C2×Q8—22no—
451C2×Q8—22no—
452C2×Q8—42no—
453C2×Q8—416no—
454C2×Q8—42no—
455C2×Q8—42no—
456C2×Q8—42no—
457C2×Q8—42no—
458C2×Q8—81no—
459C2×Q8—81no—
460C2×Q8AGL(1,ℤ/8)14yes—
461C2×D4—28no—
462C2×D4—28no—
463C2×D4—24no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—42no—
470C2×D4—44no—
471C2×D4—44no—
472C2×D4—42no—
473C2×D4C22×Q814yes—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—41no—
488C22×C4—41no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—816no—
505C22×C4#12114yes—
506C22×C4#12114yes—
507C22×C4C22×D412yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D412yes—
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D412yes—
517C22×C4C22×Q812yes—
518C22×C4C2×#4112yes—
519C22×C4C2×#4112yes—
520C22×C42−1+412yes—
521C22×C42−1+412yes—
522C22×C4C2511yescharacteristic
523M16—216no—
524M16—28no—
525M16—44no—
526C2×C8—22no—
527C2×C8—24no—
528C2×C8—24no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8C22×D418yes—
534C2×C8C22×Q814yes—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—24no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—44no—
555C4⋊C4—48no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—42no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—48no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—82no—
569C4⋊C4—82no—
570C4⋊C4—82no—
571C4⋊C4—82no—
572C4⋊C4—82no—
573C4⋊C4—82no—
574C4⋊C4C22×Q812yes—
575C4⋊C4C22×Q812yes—
576C4⋊C4C2×#4112yes—
577C4⋊C4C2×#4112yes—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—48no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—48no—
585C22⋊C4—84no—
586C22⋊C4—84no—
587C42—24no—
588C42—24no—
589C42—24no—
590C42—24no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—44no—
596C42—42no—
597C42—42no—
598C42—81no—
599C42—81no—
600C42#12114yes—
601C42#12114yes—
602C42C22×D412yes—
603C42C22×D412yes—
604C42C2×#4112yes—
605C42C2×#4112yes—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—24no—
611C23—48no—
612C23—48no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—48no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23C2×#12112yes—
625C23#54812yes—
626C23D4×Q812yes—
627C23C23×D411yescharacteristic
628Q8—28no—
629Q8—48no—
630Q8—44no—
631Q8—84no—
632Q8—84no—
633D4—24no—
634D4—24no—
635D4—48no—
636D4—42no—
637D4—42no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—28no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—44no—
661C2×C4—48no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—88no—
683C2×C4—84no—
684C2×C4—88no—
685C2×C4—84no—
686C2×C4—88no—
687C2×C4C2×#12112yes—
688C2×C4C2×#12112yes—
689C2×C4C2×#12112yes—
690C2×C4C2×#12112yes—
691C2×C4C2×#12112yes—
692C2×C4#53314yes—
693C2×C4#54114yes—
694C2×C4#54714yes—
695C2×C4#54812yes—
696C2×C4D4×Q812yes—
697C2×C4D4×Q814yes—
698C2×C4C2×AGL(1,ℤ/8)14yes—
699C2×C4C2×AGL(1,ℤ/8)12yes—
700C2×C4#57512yes—
701C2×C4C23×D411yescharacteristic
702C2×C4C23×Q811yescharacteristic
703C2×C4C22×#4111yescharacteristic
704C2×C4C22×#4111yescharacteristic
705C2×C4C2×2−1+411yescharacteristic
706C2×C4C2×2−1+411yescharacteristic
707C8—28no—
708C8—24no—
709C8—42no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—816no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22#242914yes—
725C22C22×#12111yescharacteristic
726C22C2×#54811yescharacteristic
727C22C2×D4×Q811yescharacteristic
728C22C22×AGL(1,ℤ/8)11yescharacteristic
729C22C2×#57511yescharacteristic
730C22#358511yescharacteristic
731C22#358611yescharacteristic
732C4—22no—
733C4—24no—
734C4—22no—
735C4—22no—
736C4—42no—
737C4—42no—
738C4—42no—
739C4—42no—
740C4—42no—
741C4—42no—
742C4—42no—
743C4—82no—
744C4—82no—
745C4—82no—
746C4—84no—
747C4#242914yes—
748C4#305514yes—
749C4C2×#53311yescharacteristic
750C4C2×#54111yescharacteristic
751C4C2×#54711yescharacteristic
752C4C2×D4×Q811yescharacteristic
753C2—24no—
754C2—84no—
755C2C2×#242911yescharacteristic
756C2C2×#305511yescharacteristic
757C2#6045611yescharacteristic
758C2#6132111yescharacteristic
759C2#6132311yescharacteristic
760C2Q8×AGL(1,ℤ/8)11yescharacteristic
761C2#6136711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×Q8 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×Q8×M16C2semidirect
3. #34953C2semidirect
5. #25486C2semidirect
6. #25482C2semidirect
7. #25478C2semidirect
8. #25477C2semidirect
9. #25470C2semidirect
10. #25469C2semidirect
11. #23670C2semidirect
13. #21322C2semidirect
14. #21171C2semidirect
15. #21159C2semidirect
27. C2×#446C22semidirect
28. C2×#446C22semidirect
29. C2×C8×Q8C22semidirect
39. #2584C22semidirect
40. #2584C22semidirect
42. #2567C22semidirect
43. #2567C22semidirect
44. #2546C22semidirect
45. #2546C22semidirect
65. #2088C22semidirect
66. #2088C22semidirect
67. #2087C22semidirect
68. #2086C22semidirect
73. #1992C22semidirect
74. #1990C22semidirect
75. #1990C22semidirect
76. #1948C22semidirect
77. #1948C22semidirect
78. #1947C22semidirect
79. #1947C22semidirect
80. #1944C22semidirect
81. #1943C22semidirect
82. #1942C22semidirect
83. #1941C22semidirect
167. #418Q8semidirect
416. #102C2×Q8semidirect
417. #102C2×Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#30772
C2×Q8×M162
#349532
C2×#25382
#254862
#254822
#254782
#254772
#254702
#254692
#236702
#236182
#213222
#211712
#211592
#210952
C4×#4182