Finite Group Databasebeta

← #6457696

Subgroups — #6457696

Order 512.

2152 conjugacy classes of subgroups.

The subgroup lattice has 781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3140C211yesmaximal, characteristic
2C2×#3139C211yesmaximal, characteristic, complemented
3#34938C211yesmaximal, characteristic, complemented
4C2×#2545C211yesmaximal, characteristic
5#27785C214yesmaximal, complemented
6#27781C214yesmaximal, complemented
7#27774C214yesmaximal, complemented
8#27772C214yesmaximal, complemented
9#23507C211yesmaximal, characteristic, complemented
10#23506C211yesmaximal, characteristic
11#23455C211yesmaximal, characteristic, complemented
12#23454C211yesmaximal, characteristic
13#21261C211yesmaximal, characteristic
14#21204C211yesmaximal, characteristic
15#21095C211yesmaximal, characteristic
16#21094C211yesmaximal, characteristic, complemented
17#20647C211yesmaximal, characteristic, complemented
18C4⋊C4×M16C211yesmaximal, characteristic, complemented
19C4×#419C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C2×#533C2211yescharacteristic
22C22×C4⋊Q8C2211yescharacteristic
23C22×#124C2211yescharacteristic
24C22×#124C2211yescharacteristic
25C22×C4×Q8C2211yescharacteristic
26#3140—28no—
27#3139—28no—
28C2×#491C2214yescomplemented
29C2×#489C2214yes—
30C2×#488C2214yes—
31C2×#487C2214yescomplemented
32C2×#423C2211yescharacteristic
33C2×#419C2211yescharacteristic
34C2×#419C2211yescharacteristic
35C2×#419C2211yescharacteristic
36C2×#419C2211yescharacteristic
37C2×#419C2211yescharacteristic
38C2×#419C2211yescharacteristic
39C2×#419C2211yescharacteristic
40C2×#419C2211yescharacteristic
41C2×#418C2211yescharacteristic
42C2×#418C2211yescharacteristic
43C2×#418C2211yescharacteristic
44C2×#418C2211yescharacteristic
45C2×C4×M16C2211yescharacteristic
46C2×C4×M16C2211yescharacteristic
47C2×C4×M16C2211yescharacteristic
48#2552C2212yescomplemented
49#2551C2212yescomplemented
50#2550C2212yescomplemented
51#2550C2212yescomplemented
52#2549—22no—
53#2545—22no—
54#2545—22no—
55#2545C2212yes—
56#2545C2212yes—
57#2545C2212yes—
58#2545C2212yes—
59#2440—22no—
60#2399—22no—
61C2×#396—22no—
62C4×C4⋊Q8—22no—
63#2296C2211yescharacteristic
64#2296C2211yescharacteristic
65C2×#391C2211yescharacteristic
66C2×#390C2211yescharacteristic
67C2×#388—22no—
68#2285C2211yescharacteristic
69C4×#117C2211yescharacteristic
70C2×C4×C4⋊C4C2211yescharacteristic
71#2043C2214yescomplemented
72#2043C2214yescomplemented
73#2042C2214yes—
74#2042C2214yes—
75#2026C2214yescomplemented
76#2025C2214yes—
77#2024C2214yescomplemented
78#2023C2214yes—
79#1983C2214yes—
80#1983C2214yes—
81#1959C2214yes—
82#1958C2214yes—
83#1936C2214yes—
84#1935C2214yescomplemented
85#1934C2214yes—
86#1933C2214yescomplemented
87#1805C2214yescomplemented
88#1803C2214yescomplemented
89#1771C2212yescomplemented
90#1771C2212yescomplemented
91#1770C2212yescomplemented
92C8×C4⋊C4C2212yescomplemented
93#1763C2214yescomplemented
94C4×#103C2214yescomplemented
95#1736C2211yescharacteristic
96#1736C2211yescharacteristic
97#1736C2211yescharacteristic
98#1736C2211yescharacteristic
99#1728C2211yescharacteristic
100#1728C2211yescharacteristic
101C23×Q8C2311yescharacteristic
102C23×Q8C2311yescharacteristic
103C23×D4C2311yescharacteristic
104C22×M16C2311yescharacteristic
105C22×M16C2311yescharacteristic
106C22×M16C2311yescharacteristic
107C22×M16C2311yescharacteristic
108#533—24no—
109#533—24no—
110#533—42no—
111#533—42no—
112C2×C4⋊Q8—22no—
113C2×C4⋊Q8—24no—
114C2×C4⋊Q8—22no—
115C2×C4⋊Q8—42no—
116C2×C4⋊Q8C2312yes—
117C2×C4⋊Q8C2312yes—
118C2×C4⋊Q8C2312yes—
119C2×C4⋊Q8C2312yes—
120C2×#125C2312yes—
121C2×#125C2312yes—
122C2×#124—24no—
123C2×#124—22no—
124C2×#124—21no—
125C2×#124—21no—
126C2×#124—24no—
127C2×#124—24no—
128C2×#124—42no—
129C2×#124C2312yes—
130C2×#124C2312yes—
131C2×#124C2312yes—
132C2×#124C2312yes—
133C2×C22⋊Q8—22no—
134C2×C22⋊Q8—22no—
135C2×C4×Q8—22no—
136C2×C4×Q8—22no—
137C2×C4×Q8—21no—
138C2×C4×Q8—21no—
139C2×C4×Q8—24no—
140C2×C4×Q8—24no—
141C2×C4×Q8C2312yes—
142C2×C4×Q8C2312yes—
143C2×#117C2311yescharacteristic
144C2×#117C2311yescharacteristic
145C2×#117C2311yescharacteristic
146C2×#117C2311yescharacteristic
147C22×C4⋊C4—21no—
148C22×C4⋊C4—22no—
149C22×C4⋊C4D412yes—
150C22×C4⋊C4C2311yescharacteristic
151C22×C22⋊C4—21no—
152C22×C22⋊C4—22no—
153C22×C22⋊C4—22no—
154C22×C22⋊C4—21no—
155C22×C42—21no—
156C22×C42C2311yescharacteristic
157C22×C42C2311yescharacteristic
158C22×C42C2311yescharacteristic
159#491—216no—
160#489—216no—
161#488—216no—
162#487—216no—
163#423—24no—
164C2×C4⋊C8C2312yes—
165C2×C4⋊C8C2312yes—
166#419—24no—
167#419—24no—
168#419—24no—
169#419—24no—
170#419—24no—
171#419—24no—
172#419—42no—
173#419D418yes—
174#418—24no—
175#418—24no—
176#418—24no—
177#418—42no—
178C2×#103C2314yes—
179C2×#103C2314yes—
180C2×#103C2314yes—
181C2×#103C2314yes—
182C2×#103C2314yes—
183C2×#103C2314yes—
184C2×#103C2314yes—
185C2×#103C2314yes—
186C2×#102C2314yes—
187C2×#102C2314yes—
188C2×#102C2314yes—
189C2×#102C2314yes—
190C4×M16—24no—
191C4×M16—24no—
192C4×M16—24no—
193C2×#97C2312yes—
194C2×#97C2312yes—
195C2×#97C2312yes—
196C2×C4×C8C2312yes—
197C2×C4×C8C2312yes—
198C2×C4×C8C2312yes—
199#398—22no—
200#398—22no—
201#398—22no—
202#398—22no—
203#396—24no—
204#396—24no—
205#396—24no—
206#396—24no—
207#395—22no—
208#395—22no—
209#395—22no—
210#395—22no—
211#391—22no—
212#391—22no—
213#391—22no—
214#391C2312yes—
215#391C2312yes—
216#390—22no—
217#390C2312yes—
218#390C2312yes—
219#389—22no—
220#389—22no—
221#389—22no—
222#389—22no—
223#389C2312yes—
224#389C2312yes—
225#389C2312yes—
226#389C2312yes—
227#388—24no—
228#388—24no—
229#388—24no—
230#388—24no—
231#385—22no—
232#385—22no—
233#384—22no—
234#384C2312yes—
235#382C2312yes—
236#380—21no—
237#380—21no—
238C4×C4⋊C4—21no—
239C4×C4⋊C4—22no—
240C4×C4⋊C4—22no—
241C4×C4⋊C4—21no—
242C4×C4⋊C4D412yes—
243C4×C4⋊C4D412yes—
244C4×C4⋊C4C2312yes—
245C4×C4⋊C4C2312yes—
246C4×C4⋊C4C2311yescharacteristic
247C4×C4⋊C4C2311yescharacteristic
248C4×C4⋊C4C2311yescharacteristic
249C4×C4⋊C4C2311yescharacteristic
250C4×C22⋊C4—21no—
251C4×C22⋊C4—21no—
252#376—21no—
253C2×#95—22no—
254C2×#95D412yes—
255C43—21no—
256#340C2314yes—
257#340C2314yes—
258#340C2314yes—
259#340C2314yes—
260#336C2312yes—
261#336C2312yes—
262#336C2312yes—
263#336C2312yes—
264C25—21no—
265C22×Q8—21no—
266C22×Q8—21no—
267C22×Q8—22no—
268C22×Q8—22no—
269C22×Q8—22no—
270C22×Q8—22no—
271C22×Q8—22no—
272C22×Q8—22no—
273C22×Q8—22no—
274C22×Q8—22no—
275C22×Q8—22no—
276C22×Q8—22no—
277C22×Q8—22no—
278C22×Q8—22no—
279C22×Q8—22no—
280C22×Q8C2×D414yes—
281C22×Q8C2412yes—
282C22×Q8C2412yes—
283C22×D4—22no—
284C22×D4—21no—
285C22×D4—22no—
286C22×D4—22no—
287C22×D4—22no—
288C22×D4—22no—
289C22×D4—22no—
290C22×D4C2412yes—
291C23×C4—21no—
292C23×C4—21no—
293C23×C4—21no—
294C23×C4C2×D412yes—
295C23×C4C2×D412yes—
296C23×C4C2×D411yescharacteristic
297C23×C4C2×D411yescharacteristic
298C23×C4C2411yescharacteristic
299C2×M16—22no—
300C2×M16—22no—
301C2×M16—22no—
302C2×M16—22no—
303C2×M16—22no—
304C2×M16—22no—
305C2×M16—22no—
306C2×M16—22no—
307C2×M16—22no—
308C2×M16—22no—
309C2×M16—22no—
310C2×M16C2×D414yes—
311C22×C8C2412yes—
312C22×C8C2412yes—
313C22×C8C2412yes—
314C22×C8C2412yes—
315C4⋊Q8—24no—
316C4⋊Q8—24no—
317C4⋊Q8—24no—
318C4⋊Q8—24no—
319C4⋊Q8—42no—
320C4⋊Q8—42no—
321C4⋊Q8—42no—
322C4⋊Q8—42no—
323C4⋊Q8—48no—
324C4⋊Q8—48no—
325#125—24no—
326#125—24no—
327#125—42no—
328#125—42no—
329#124—24no—
330#124—24no—
331#124—24no—
332#124—24no—
333#124—24no—
334#124—24no—
335#124—42no—
336#124—42no—
337#124—48no—
338#124—44no—
339#124—44no—
340C22⋊Q8—48no—
341C22⋊Q8—48no—
342C4×Q8—24no—
343C4×Q8—24no—
344C4×Q8—24no—
345C4×Q8—24no—
346C4×Q8—48no—
347C4×Q8—48no—
348C4×Q8—44no—
349C4×Q8—44no—
350#117—22no—
351#117—22no—
352#117—22no—
353#117—22no—
354#117—22no—
355#117—22no—
356#117C2×D414yes—
357#117#4114yes—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—24no—
363C2×C4⋊C4—24no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—22no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—44no—
378C2×C4⋊C4—48no—
379C2×C4⋊C4—44no—
380C2×C4⋊C4C2×D412yes—
381C2×C4⋊C4C2×D412yes—
382C2×C4⋊C4C2×D412yes—
383C2×C4⋊C4C2×D412yes—
384C2×C4⋊C4C2412yes—
385C2×C4⋊C4C2412yes—
386C2×C4⋊C4C2412yes—
387C2×C4⋊C4C2412yes—
388C2×C4⋊C4C2412yes—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—21no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4—21no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—24no—
396C2×C22⋊C4—24no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—24no—
400C2×C22⋊C4—24no—
401C2×C22⋊C4—48no—
402C2×C22⋊C4—48no—
403C2×C22⋊C4—44no—
404C2×C22⋊C4—44no—
405C2×C42—21no—
406C2×C42—21no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—21no—
412C2×C42—21no—
413C2×C42—22no—
414C2×C42—22no—
415C2×C42—22no—
416C2×C42—22no—
417C2×C42—44no—
418C2×C42C2×D412yes—
419C2×C42C2×D412yes—
420C2×C42C2×D411yescharacteristic
421C2×C42C2×D411yescharacteristic
422C2×C42#4114yes—
423C2×C42#4114yes—
424C2×C42C2411yescharacteristic
425C2×C42C2411yescharacteristic
426C2×C42C2411yescharacteristic
427C2×C42C2411yescharacteristic
428C2×C42C2411yescharacteristic
429C2×C42C2411yescharacteristic
430C4⋊C8—24no—
431C4⋊C8—24no—
432#103—28no—
433#103—28no—
434#103—28no—
435#103—28no—
436#103—28no—
437#103—28no—
438#103—44no—
439#103C2×D4116yes—
440#102—28no—
441#102—28no—
442#102—28no—
443#102—44no—
444#97—24no—
445#97—24no—
446#97—24no—
447C4×C8—24no—
448C4×C8—24no—
449C4×C8—24no—
450#95—24no—
451#95—24no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95—22no—
459#95—22no—
460#95C2×D412yes—
461#95C2×D412yes—
462#95C2×D412yes—
463#95C2×D412yes—
464C24—22no—
465C24—44no—
466C24—44no—
467C24—42no—
468C24—42no—
469C24—42no—
470C24C22×D411yescharacteristic
471C2×Q8—24no—
472C2×Q8—22no—
473C2×Q8—28no—
474C2×Q8—28no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—22no—
478C2×Q8—22no—
479C2×Q8—22no—
480C2×Q8—22no—
481C2×Q8—22no—
482C2×Q8—22no—
483C2×Q8—22no—
484C2×Q8—22no—
485C2×Q8—44no—
486C2×Q8—44no—
487C2×Q8—44no—
488C2×Q8—42no—
489C2×Q8—42no—
490C2×Q8—44no—
491C2×Q8—42no—
492C2×Q8—42no—
493C2×Q8—42no—
494C2×Q8—44no—
495C2×Q8—44no—
496C2×Q8—44no—
497C2×Q8—44no—
498C2×Q8—44no—
499C2×Q8—44no—
500C2×Q8—82no—
501C2×Q8—82no—
502C2×Q8C22×D414yes—
503C2×D4—22no—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—42no—
510C2×D4—44no—
511C2×D4—44no—
512C2×D4—42no—
513C2×D4—44no—
514C2×D4—42no—
515C2×D4—44no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—24no—
522C22×C4—24no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—44no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4#12414yes—
540C22×C4#12414yes—
541C22×C4C22×D412yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D412yes—
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D412yes—
551C22×C4C2×#4112yes—
552C22×C4C2×#4112yes—
553C22×C4C2×#4112yes—
554C22×C4H(5,𝔽2)12yes—
555C22×C42−1+412yes—
556C22×C4C2511yescharacteristic
557M16—28no—
558M16—44no—
559M16—44no—
560M16—44no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8C22×D414yes—
573C4⋊C4—24no—
574C4⋊C4—24no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—48no—
586C4⋊C4—48no—
587C4⋊C4—44no—
588C4⋊C4—44no—
589C4⋊C4—44no—
590C4⋊C4—44no—
591C4⋊C4—44no—
592C4⋊C4—44no—
593C4⋊C4—44no—
594C4⋊C4—44no—
595C4⋊C4—42no—
596C4⋊C4—44no—
597C4⋊C4—44no—
598C4⋊C4—44no—
599C4⋊C4—82no—
600C4⋊C4—82no—
601C4⋊C4—82no—
602C4⋊C4C22×D414yes—
603C4⋊C4C2×#4114yes—
604C22⋊C4—24no—
605C22⋊C4—24no—
606C22⋊C4—48no—
607C22⋊C4—48no—
608C22⋊C4—48no—
609C22⋊C4—42no—
610C22⋊C4—42no—
611C22⋊C4—44no—
612C22⋊C4—44no—
613C22⋊C4—44no—
614C22⋊C4—44no—
615C22⋊C4—48no—
616C42—24no—
617C42—24no—
618C42—24no—
619C42—24no—
620C42—21no—
621C42—21no—
622C42—21no—
623C42—21no—
624C42—21no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—44no—
629C42—44no—
630C42—44no—
631C42—42no—
632C42—42no—
633C42—82no—
634C42#12414yes—
635C42#12414yes—
636C42C2×#4112yes—
637C42C2×#4112yes—
638C42C2×#4112yes—
639C42C2×#4112yes—
640C23—22no—
641C23—22no—
642C23—44no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—44no—
647C23—88no—
648C23—88no—
649C23—84no—
650C23—84no—
651C23—84no—
652C23C2×#12412yes—
653C23D4212yes—
654C23#54812yes—
655C23C23×D411yescharacteristic
656Q8—24no—
657Q8—24no—
658Q8—42no—
659Q8—42no—
660Q8—48no—
661Q8—42no—
662Q8—42no—
663Q8—42no—
664Q8—42no—
665Q8—88no—
666Q8—88no—
667Q8—84no—
668D4—42no—
669D4—42no—
670D4—42no—
671D4—42no—
672D4—84no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—48no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—48no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—84no—
713C2×C4—84no—
714C2×C4—84no—
715C2×C4C2×#12412yes—
716C2×C4C2×#12412yes—
717C2×C4C2×#12412yes—
718C2×C4C2×#12412yes—
719C2×C4C2×#12412yes—
720C2×C4#53214yes—
721C2×C4#54214yes—
722C2×C4D4212yes—
723C2×C4#54714yes—
724C2×C4#54812yes—
725C2×C4#55514yes—
726C2×C4#57514yes—
727C2×C4C23×D411yescharacteristic
728C2×C4C22×#4111yescharacteristic
729C2×C4C22×#4111yescharacteristic
730C2×C4C22×#4111yescharacteristic
731C2×C4C2×H(5,𝔽2)11yescharacteristic
732C2×C4C2×2−1+411yescharacteristic
733C8—24no—
734C8—42no—
735C8—42no—
736C8—42no—
737C22—24no—
738C22—24no—
739C22—22no—
740C22—22no—
741C22—84no—
742C22—84no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—168no—
747C22#249114yes—
748C22C22×#12411yescharacteristic
749C22C2×D4211yescharacteristic
750C22C2×#54811yescharacteristic
751C22C2×#57512yes—
752C22#358612yes—
753C4—24no—
754C4—22no—
755C4—22no—
756C4—22no—
757C4—22no—
758C4—44no—
759C4—42no—
760C4—42no—
761C4—42no—
762C4—44no—
763C4—44no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4#249114yes—
769C4C2×#53211yescharacteristic
770C4C2×#54211yescharacteristic
771C4C2×#54711yescharacteristic
772C4C2×#55511yescharacteristic
773C2—24no—
774C2—162no—
775C2C2×#249111yescharacteristic
776C2#6061811yescharacteristic
777C2#6062011yescharacteristic
778C2#6106812yes—
779C2#6132312yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3139C2semidirect
3. #34938C2semidirect
5. #27785C2semidirect
6. #27781C2semidirect
7. #27774C2semidirect
8. #27772C2semidirect
9. #23507C2semidirect
11. #23455C2semidirect
16. #21094C2semidirect
17. #20647C2semidirect
18. C4⋊C4×M16C2semidirect
19. C4×#419C2semidirect
28. C2×#491C22semidirect
31. C2×#487C22semidirect
48. #2552C22semidirect
49. #2551C22semidirect
50. #2550C22semidirect
51. #2550C22semidirect
71. #2043C22semidirect
72. #2043C22semidirect
75. #2026C22semidirect
77. #2024C22semidirect
84. #1935C22semidirect
86. #1933C22semidirect
87. #1805C22semidirect
88. #1803C22semidirect
89. #1771C22semidirect
90. #1771C22semidirect
91. #1770C22semidirect
92. C8×C4⋊C4C22semidirect
93. #1763C22semidirect
94. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
C2×#31402
C2×#31392
#349382
C2×#25452
#277852
#277812
#277742
#277722
#235072
#235062
#234552
#234542
#212612
#212042
#210952
#210942
#206472
C4⋊C4×M162
C4×#4192