Finite Group Databasebeta

← #6593601

Subgroups — #6593601

Order 512.

2143 conjugacy classes of subgroups.

The subgroup lattice has 759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36194C211yesmaximal, characteristic, complemented
2C4×D42C211yesmaximal, characteristic
3#33197C211yesmaximal, characteristic, complemented
4#32956C212yesmaximal, complemented
5#28716C211yesmaximal, characteristic, complemented
6#28280C211yesmaximal, characteristic, complemented
7#27625C212yesmaximal, complemented
8#27520C214yesmaximal, complemented
9#27032C214yesmaximal, complemented
10#26300C212yesmaximal, complemented
11#25881C212yesmaximal
12#24701C212yesmaximal, complemented
13#23215C212yesmaximal, complemented
14#22963C212yesmaximal, complemented
15#22795C211yesmaximal, characteristic, complemented
16C4×#476C211yesmaximal, characteristic, complemented
17#20732C212yesmaximal, complemented
18C2×D42C2211yescharacteristic
19C22×C4×D4—21no—
20C22×C4×D4C2212yes—
21C2×#486C2212yes—
22C2×#476C2212yes—
23C2×#476C2211yescharacteristic
24C2×#476C2212yescomplemented
25C2×#431C2212yescomplemented
26#2868C2211yescharacteristic, complemented
27#2857C2212yescomplemented
28#2571—21no—
29#2563C2212yes—
30#2538—21no—
31#2497C2214yescomplemented
32#2492—22no—
33#2439—22no—
34#2369C2212yescomplemented
35#2366C2211yescharacteristic
36#2361—21no—
37#2361C2212yes—
38#2358—22no—
39#2355—21no—
40#2354—21no—
41D4×C4⋊C4C2211yescharacteristic
42D4×C4⋊C4C2211yescharacteristic
43D4×C22⋊C4—21no—
44D4×C22⋊C4C2212yes—
45C4×C4⋊Q8C2211yescharacteristic, complemented
46C4×#127C2211yescharacteristic
47C4×#121—21no—
48C4×#121C2212yes—
49C4×#120—22no—
50#2285C2212yescomplemented
51C42×D4C2211yescharacteristic
52C42×D4C2211yescharacteristic
53#2077C2214yescomplemented
54#2077C2214yescomplemented
55#2071C2214yescomplemented
56#2065C2214yescomplemented
57#2034C2214yes—
58#2034C2214yes—
59#1990C2212yescomplemented
60#1987C2211yescharacteristic, complemented
61#1987C2212yescomplemented
62#1982C2212yes—
63#1954C2212yes—
64#1948C2211yescharacteristic, complemented
65#1948C2212yescomplemented
66#1948C2212yescomplemented
67#1948C2212yescomplemented
68#1941C2214yescomplemented
69#1934C2214yescomplemented
70#1926C2214yescomplemented
71#1923C2214yescomplemented
72#1920C2212yescomplemented
73#1919C2214yescomplemented
74#1864C2212yes—
75#1864C2214yes—
76#1864C2214yescomplemented
77#1853C2214yescomplemented
78#1842C2211yescharacteristic, complemented
79#1823C2214yescomplemented
80#1802C2211yescharacteristic
81#1802C2212yes—
82#1802C2212yes—
83#1802C2212yescomplemented
84#1802C2212yescomplemented
85#1802C2212yescomplemented
86#1797C2212yescomplemented
87#1786C2214yes—
88#1786C2214yes—
89C4×#106C2212yescomplemented
90C8×C4⋊C4C2212yescomplemented
91C4×C4⋊C8C2211yescharacteristic, complemented
92C4×#102C2212yes—
93C4×#102C2214yes—
94C4×#102C2214yescomplemented
95C23×D4—21no—
96C23×D4C2312yes—
97C24×C4—22no—
98D42—24no—
99D42—24no—
100C2×C4⋊Q8—21no—
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8C2311yescharacteristic
103C2×C4⋊Q8C2312yes—
104C2×#127C2311yescharacteristic
105C2×C22⋊Q8—22no—
106C2×#121—21no—
107C2×#121C2312yes—
108C2×#120—22no—
109C2×C4×Q8—21no—
110C2×C4×D4—21no—
111C2×C4×D4—22no—
112C2×C4×D4—21no—
113C2×C4×D4—22no—
114C2×C4×D4—28no—
115C2×C4×D4—21no—
116C2×C4×D4—22no—
117C2×C4×D4—22no—
118C2×C4×D4—21no—
119C2×C4×D4—44no—
120C2×C4×D4—48no—
121C2×C4×D4D411yescharacteristic
122C2×C4×D4D411yescharacteristic
123C2×C4×D4C2312yes—
124C2×C4×D4C2311yescharacteristic
125C2×C4×D4C2312yes—
126C2×C4×D4C2312yes—
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2311yescharacteristic
129C2×C4×D4C2311yescharacteristic
130C2×#117—22no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4C2312yes—
133C22×C22⋊C4—22no—
134C22×C22⋊C4—22no—
135C22×C42—21no—
136C22×C42C2312yes—
137#486—28no—
138#476—24no—
139#476—28no—
140#476—44no—
141#431—44no—
142C2×#106C2312yes—
143C2×#106C2314yes—
144C2×#106C2314yes—
145C2×#106C2312yes—
146C2×C4⋊C8C2311yescharacteristic
147C2×C4⋊C8C2312yes—
148C2×C4⋊C8C2311yescharacteristic
149C2×C4⋊C8C2312yes—
150C2×C4⋊C8C2312yes—
151C2×#102C2314yes—
152C2×#102C2312yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2312yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×C22⋊C8C2314yes—
159C2×C22⋊C8C2314yes—
160C2×C4×C8C2312yes—
161C2×C4×C8C2314yes—
162#400—24no—
163#396—24no—
164#393—24no—
165#391—21no—
166#391—22no—
167#391—24no—
168#390—22no—
169#390—21no—
170#390—21no—
171#390—21no—
172#390C2312yes—
173#390C2312yes—
174#389—22no—
175#389—21no—
176#389—21no—
177#389—22no—
178#389C2312yes—
179#389C2314yes—
180#389C2312yes—
181#388—24no—
182#388—22no—
183#388—22no—
184#387—24no—
185#386—22no—
186#386—22no—
187#386—22no—
188#386—22no—
189#386—22no—
190#385—22no—
191#385—22no—
192#385—22no—
193#384—21no—
194#384—21no—
195#384C2311yescharacteristic
196#384C2311yescharacteristic
197#384C2312yes—
198#384C2312yes—
199#382—22no—
200#382—22no—
201#380—22no—
202#380—22no—
203#380—21no—
204#380C2314yes—
205#380C2314yes—
206#380C2312yes—
207#379—22no—
208C4×C4⋊C4—22no—
209C4×C4⋊C4—21no—
210C4×C4⋊C4—22no—
211C4×C4⋊C4D411yescharacteristic
212C4×C4⋊C4D411yescharacteristic
213C4×C4⋊C4C2312yes—
214C4×C4⋊C4C2311yescharacteristic
215C4×C4⋊C4C2311yescharacteristic
216C4×C4⋊C4C2314yes—
217C4×C4⋊C4C2311yescharacteristic
218C4×C4⋊C4C2311yescharacteristic
219C4×C22⋊C4—21no—
220C4×C22⋊C4—21no—
221C4×C22⋊C4—21no—
222C4×C22⋊C4—22no—
223C4×C22⋊C4D412yes—
224C4×C22⋊C4D412yes—
225C4×C22⋊C4C2312yes—
226C43C2311yescharacteristic
227#340C2314yes—
228#340C2312yes—
229#340C2314yes—
230#340C2314yes—
231#340C2314yes—
232#340C2314yes—
233#340C2312yes—
234#340C2312yes—
235#340C2312yes—
236#336C2314yes—
237#336C2312yes—
238C25—22no—
239C22×Q8—21no—
240C22×Q8—22no—
241C22×D4—28no—
242C22×D4—22no—
243C22×D4—24no—
244C22×D4—24no—
245C22×D4—24no—
246C22×D4—24no—
247C22×D4—22no—
248C22×D4—21no—
249C22×D4—21no—
250C22×D4—42no—
251C22×D4—42no—
252C22×D4—44no—
253C22×D4—44no—
254C22×D4C2×D411yescharacteristic
255C22×D4C2412yes—
256C22×D4C2411yescharacteristic
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—21no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—48no—
265C23×C4—48no—
266C23×C4—84no—
267C23×C4C2×D412yes—
268C23×C4C2×D412yes—
269C23×C4C2412yes—
270C22×C8C2412yes—
271C22×C8C2412yes—
272C22×C8C2414yes—
273C4⋊Q8—24no—
274C4⋊Q8—22no—
275C4⋊Q8—24no—
276C4⋊Q8—22no—
277C4⋊Q8—82no—
278C4⋊Q8—82no—
279#127—22no—
280#127#4114yes—
281C22⋊Q8—84no—
282#121—28no—
283#121—24no—
284#121—24no—
285#120—216no—
286C4×Q8—44no—
287C4×D4—24no—
288C4×D4—22no—
289C4×D4—24no—
290C4×D4—22no—
291C4×D4—22no—
292C4×D4—22no—
293C4×D4—24no—
294C4×D4—22no—
295C4×D4—24no—
296C4×D4—48no—
297C4×D4—42no—
298C4×D4—42no—
299C4×D4—42no—
300C4×D4—41no—
301C4×D4—48no—
302C4×D4—44no—
303C4×D4—48no—
304C4×D4—44no—
305C4×D4—48no—
306C4×D4—44no—
307C4×D4—82no—
308C4×D4SD1618yes—
309C4×D4#4114yes—
310C4×D4#4114yes—
311#117—84no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4C2×D411yescharacteristic
330C2×C4⋊C4C2×D411yescharacteristic
331C2×C4⋊C4C2×D411yescharacteristic
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2411yescharacteristic
334C2×C4⋊C4C2414yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2411yescharacteristic
338C2×C4⋊C4C2411yescharacteristic
339C2×C22⋊C4—21no—
340C2×C22⋊C4—21no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—21no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—48no—
354C2×C22⋊C4—48no—
355C2×C22⋊C4C2×D412yes—
356C2×C22⋊C4C2×D412yes—
357C2×C22⋊C4C2×D412yes—
358C2×C42—24no—
359C2×C42—24no—
360C2×C42—21no—
361C2×C42—21no—
362C2×C42—21no—
363C2×C42—22no—
364C2×C42—24no—
365C2×C42—44no—
366C2×C42C2×D411yescharacteristic
367C2×C42C2×D412yes—
368C2×C42C2×D412yes—
369C2×C42C2×D411yescharacteristic
370C2×C42C2×D411yescharacteristic
371C2×C42C2×D411yescharacteristic
372C2×C42C2412yes—
373C2×C42C2411yescharacteristic
374C2×C42C2411yescharacteristic
375C2×C42C2411yescharacteristic
376#106—28no—
377#106—24no—
378#106—42no—
379#106—44no—
380C4⋊C8—24no—
381C4⋊C8—22no—
382C4⋊C8—22no—
383C4⋊C8—24no—
384C4⋊C8—42no—
385#102—28no—
386#102—24no—
387#102—28no—
388#102—28no—
389#102—24no—
390#102—44no—
391#102—44no—
392C22⋊C8—44no—
393C22⋊C8—44no—
394C4×C8—24no—
395C4×C8—44no—
396#95—21no—
397#95—21no—
398#95—21no—
399#95—22no—
400#95—22no—
401#95—24no—
402#95—24no—
403#95—22no—
404#95—24no—
405#95—22no—
406#95—24no—
407#95C2×D412yes—
408#95C2×D412yes—
409#95C2×D412yes—
410C24—21no—
411C24—28no—
412C24—22no—
413C24—44no—
414C24—44no—
415C24—44no—
416C24—44no—
417C24—82no—
418C24—82no—
419C24C22×D412yes—
420C2×Q8—42no—
421C2×Q8—42no—
422C2×Q8—44no—
423C2×Q8—42no—
424C2×Q8—82no—
425C2×Q8—82no—
426C2×D4—28no—
427C2×D4—28no—
428C2×D4—22no—
429C2×D4—24no—
430C2×D4—24no—
431C2×D4—22no—
432C2×D4—21no—
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—21no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—21no—
439C2×D4—22no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4—48no—
443C2×D4—48no—
444C2×D4—432no—
445C2×D4—48no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—48no—
449C2×D4—42no—
450C2×D4—42no—
451C2×D4—81no—
452C2×D4—81no—
453C2×D4C2×SD1614yes—
454C2×D4C2×#4114yes—
455C2×D4C2×#4112yes—
456C2×D4C2×#4112yes—
457C2×D42−1+412yes—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—44no—
479C22×C4—44no—
480C22×C4—44no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—42no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—81no—
494C22×C4—82no—
495C22×C4—82no—
496C22×C4—832no—
497C22×C4—82no—
498C22×C4C2×SD1618yes—
499C22×C4C22×D412yes—
500C22×C4C22×D412yes—
501C22×C4C22×D411yescharacteristic
502C22×C4C22×D411yescharacteristic
503C22×C4C22×D411yescharacteristic
504C22×C4C22×D412yes—
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C2511yescharacteristic
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—24no—
513C2×C8—22no—
514C2×C8—24no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—24no—
518C4⋊C4—22no—
519C4⋊C4—22no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—21no—
530C4⋊C4—22no—
531C4⋊C4—21no—
532C4⋊C4—44no—
533C4⋊C4—42no—
534C4⋊C4—44no—
535C4⋊C4—44no—
536C4⋊C4—44no—
537C4⋊C4—42no—
538C4⋊C4—44no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—44no—
542C4⋊C4—81no—
543C4⋊C4—84no—
544C4⋊C4—82no—
545C4⋊C4—82no—
546C4⋊C4C2×SD1614yes—
547C4⋊C4C2×#4112yes—
548C4⋊C4C2×#4112yes—
549C22⋊C4—28no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—42no—
554C22⋊C4—44no—
555C22⋊C4—44no—
556C22⋊C4—42no—
557C22⋊C4—44no—
558C22⋊C4—44no—
559C22⋊C4—44no—
560C22⋊C4—44no—
561C22⋊C4—82no—
562C22⋊C4—82no—
563C22⋊C4—84no—
564C22⋊C4—84no—
565C22⋊C4C2×SD1618yes—
566C42—24no—
567C42—24no—
568C42—22no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—21no—
573C42—21no—
574C42—41no—
575C42—42no—
576C42—42no—
577C42—42no—
578C42—44no—
579C42—84no—
580C42C2×SD1614yes—
581C42C2×#4112yes—
582C42C2×#4112yes—
583C42C2×#4112yes—
584C42H(5,𝔽2)12yes—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—24no—
595C23—416no—
596C23—416no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—88no—
608C23—88no—
609C23—88no—
610C23—88no—
611C23—88no—
612C23C22×SD1614yes—
613C23C23×D411yescharacteristic
614Q8—84no—
615Q8—164no—
616D4—28no—
617D4—22no—
618D4—24no—
619D4—22no—
620D4—22no—
621D4—24no—
622D4—416no—
623D4—416no—
624D4—48no—
625D4—42no—
626D4—42no—
627D4—84no—
628D4#55614yes—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—216no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—48no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—48no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—84no—
675C2×C4—88no—
676C2×C4—84no—
677C2×C4—88no—
678C2×C4—88no—
679C2×C4—88no—
680C2×C4#52512yes—
681C2×C4#52512yes—
682C2×C4#54612yes—
683C2×C4#54612yes—
684C2×C4C22×SD1612yes—
685C2×C4C22×SD1614yes—
686C2×C4C22×SD1612yes—
687C2×C4C22×SD1612yes—
688C2×C4#57512yes—
689C2×C4#57612yes—
690C2×C4C22×#4111yescharacteristic
691C2×C4C22×#4111yescharacteristic
692C2×C4C22×#4111yescharacteristic
693C2×C4C2×H(5,𝔽2)11yescharacteristic
694C2×C4C2×2−1+411yescharacteristic
695C2×C4#58511yescharacteristic
696C8—42no—
697C8—44no—
698C8—42no—
699C22—24no—
700C22—24no—
701C22—24no—
702C22—24no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—832no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22C2×#52511yescharacteristic
722C22C2×#54611yescharacteristic
723C22#348911yescharacteristic
724C22C23×SD1611yescharacteristic
725C22C2×#57511yescharacteristic
726C22C2×#57611yescharacteristic
727C22#358511yescharacteristic
728C4—22no—
729C4—22no—
730C4—24no—
731C4—22no—
732C4—42no—
733C4—42no—
734C4—42no—
735C4—41no—
736C4—42no—
737C4—81no—
738C4—84no—
739C4—82no—
740C4—82no—
741C4—82no—
742C4#310114yes—
743C4#329514yes—
744C4C2×#55611yescharacteristic
745C4#347511yescharacteristic
746C4#350611yescharacteristic
747C4#352011yescharacteristic
748C2—44no—
749C2—44no—
750C2—84no—
751C2#3616111yescharacteristic
752C2C2×#310111yescharacteristic
753C2#6059011yescharacteristic
754C2C2×#329511yescharacteristic
755C2#6116611yescharacteristic
756C2#6209611yescharacteristic
757C2#6214311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×D42C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36194C2semidirect
3. #33197C2semidirect
4. #32956C2semidirect
5. #28716C2semidirect
6. #28280C2semidirect
7. #27625C2semidirect
8. #27520C2semidirect
9. #27032C2semidirect
10. #26300C2semidirect
12. #24701C2semidirect
13. #23215C2semidirect
14. #22963C2semidirect
15. #22795C2semidirect
16. C4×#476C2semidirect
17. #20732C2semidirect
24. C2×#476C22semidirect
25. C2×#431C22semidirect
26. #2868C22semidirect
27. #2857C22semidirect
31. #2497C22semidirect
34. #2369C22semidirect
45. C4×C4⋊Q8C22semidirect
50. #2285C22semidirect
53. #2077C22semidirect
54. #2077C22semidirect
55. #2071C22semidirect
56. #2065C22semidirect
59. #1990C22semidirect
60. #1987C22semidirect
61. #1987C22semidirect
64. #1948C22semidirect
65. #1948C22semidirect
66. #1948C22semidirect
67. #1948C22semidirect
68. #1941C22semidirect
69. #1934C22semidirect
70. #1926C22semidirect
71. #1923C22semidirect
72. #1920C22semidirect
73. #1919C22semidirect
76. #1864C22semidirect
77. #1853C22semidirect
78. #1842C22semidirect
79. #1823C22semidirect
83. #1802C22semidirect
84. #1802C22semidirect
85. #1802C22semidirect
86. #1797C22semidirect
89. C4×#106C22semidirect
90. C8×C4⋊C4C22semidirect
91. C4×C4⋊C8C22semidirect
94. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#361942
C4×D422
#331972
#329562
#287162
#282802
#276252
#275202
#270322
#263002
#258812
#247012
#232152
#229632
#227952
C4×#4762
#207322