Finite Group Databasebeta

← #6477075

Subgroups — #6477075

Order 512.

2388 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2857C211yesmaximal, characteristic, complemented
2C2×C4×#121C211yesmaximal, characteristic
3#33146C212yesmaximal, complemented
4#32953C212yesmaximal, complemented
5#30165C214yesmaximal, complemented
6#29296C212yesmaximal, complemented
7#29103C212yesmaximal, complemented
8#27644C212yesmaximal, complemented
9#27600C212yesmaximal, complemented
10#24700C214yesmaximal, complemented
11#24298C212yesmaximal, complemented
12#24002C212yesmaximal
13#22075C214yesmaximal, complemented
14#20714C211yesmaximal, characteristic, complemented
15C22×C4⋊Q8C2211yescharacteristic, complemented
16C22×C22⋊Q8—21no—
17C22×#121C2211yescharacteristic
18C22×C4×D4—21no—
19C22×C4×D4C2211yescharacteristic
20C23×C42C2211yescharacteristic
21C2×#480C2214yes—
22C2×#474C2214yescomplemented
23C2×#431C2212yescomplemented
24#2857—21no—
25#2857—21no—
26#2857—21no—
27#2857—21no—
28#2857C2212yes—
29#2857C2212yes—
30#2857C2212yescomplemented
31#2857C2212yescomplemented
32C4×#121—21no—
33C4×#121—21no—
34C4×#121—21no—
35C4×#121—21no—
36C4×#121C2212yes—
37C4×#121C2212yes—
38C4×#121C2212yes—
39C4×#121C2212yes—
40C2×#391—21no—
41C2×#390C2211yescharacteristic
42C2×#389—21no—
43C2×#389C2211yescharacteristic
44C2×#389C2212yescomplemented
45C2×#388—21no—
46C2×#386—21no—
47C2×#384C2211yescharacteristic, complemented
48C2×#380—21no—
49C2×#380C2212yes—
50C2×#380C2211yescharacteristic
51C2×C4×C4⋊C4C2211yescharacteristic
52C2×C4×C22⋊C4—21no—
53#2083C2214yescomplemented
54#2075C2218yescomplemented
55#2071C2214yescomplemented
56#2057C2214yescomplemented
57#2033C2218yes—
58#2023C2214yescomplemented
59#1988C2214yescomplemented
60#1947C2214yescomplemented
61#1942C2218yescomplemented
62#1934C2218yescomplemented
63#1918C2218yescomplemented
64#1874C2214yes—
65#1862C2218yescomplemented
66#1852C2214yes—
67#1852C2214yes—
68#1852C2214yescomplemented
69#1823C2214yes—
70#1823C2214yescomplemented
71#1817C2212yescomplemented
72#1802C2214yescomplemented
73#1797C2212yes—
74#1797C2212yescomplemented
75#1786C2214yes—
76#1779C2212yes—
77C4×C22⋊C8C2212yes—
78C4×C22⋊C8C2212yescomplemented
79C23×Q8—21no—
80C23×D4—21no—
81C23×D4C2311yescharacteristic
82C24×C4—21no—
83C24×C4D411yescharacteristic
84C24×C4D411yescharacteristic
85C24×C4C2311yescharacteristic
86C2×C4⋊Q8—21no—
87C2×C4⋊Q8—21no—
88C2×C4⋊Q8—44no—
89C2×C4⋊Q8C2312yes—
90C2×C4⋊Q8C2312yes—
91C2×C22⋊Q8—22no—
92C2×C22⋊Q8—22no—
93C2×C22⋊Q8—22no—
94C2×C22⋊Q8—22no—
95C2×C22⋊Q8—48no—
96C2×#121—21no—
97C2×#121—21no—
98C2×#121—28no—
99C2×#121C2312yes—
100C2×#121C2312yes—
101C2×C4×D4—22no—
102C2×C4×D4—22no—
103C2×C4×D4—22no—
104C2×C4×D4—22no—
105C2×C4×D4—21no—
106C2×C4×D4—21no—
107C2×C4×D4—44no—
108C2×C4×D4—48no—
109C2×C4×D4C2312yes—
110C2×C4×D4C2312yes—
111C22×C4⋊C4—21no—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—22no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2312yes—
121C22×C22⋊C4—21no—
122C22×C22⋊C4—21no—
123C22×C22⋊C4—22no—
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C42—21no—
128C22×C42—44no—
129C22×C42D411yescharacteristic
130C22×C42D411yescharacteristic
131C22×C42D411yescharacteristic
132C22×C42D411yescharacteristic
133C22×C42D411yescharacteristic
134C22×C42D411yescharacteristic
135C22×C42C2311yescharacteristic
136C22×C42C2311yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141#480—216no—
142#474—48no—
143#431—44no—
144C2×#107C2318yes—
145C2×#107C2318yes—
146C2×C4⋊C8C2314yes—
147C2×#102C2318yes—
148C2×#102C2318yes—
149C2×C22⋊C8C2314yes—
150C2×C22⋊C8C2314yes—
151C2×C22⋊C8C2314yes—
152C2×C4×C8C2314yes—
153#391—22no—
154#391—22no—
155#391—22no—
156#391—22no—
157#390—21no—
158#390—21no—
159#390C2312yes—
160#390C2312yes—
161#389—22no—
162#389—22no—
163#389—22no—
164#389—22no—
165#389—22no—
166#389—22no—
167#389—21no—
168#389—21no—
169#389C2312yes—
170#389C2314yes—
171#389C2314yes—
172#389C2312yes—
173#388—22no—
174#388—22no—
175#388—22no—
176#388—22no—
177#386—22no—
178#386—22no—
179#386—22no—
180#386—22no—
181#384—21no—
182#384—21no—
183#384C2312yes—
184#384C2312yes—
185#380—22no—
186#380—22no—
187#380—22no—
188#380—22no—
189#380—22no—
190#380—22no—
191#380—21no—
192#380—21no—
193#380C2312yes—
194#380C2314yes—
195#380C2314yes—
196#380C2312yes—
197C4×C4⋊C4—21no—
198C4×C4⋊C4—21no—
199C4×C4⋊C4C2312yes—
200C4×C4⋊C4C2312yes—
201C4×C22⋊C4—22no—
202C4×C22⋊C4—22no—
203C4×C22⋊C4—22no—
204C4×C22⋊C4—22no—
205C2×#95—21no—
206C2×#95—21no—
207C2×#95—21no—
208C2×#95—22no—
209C2×#95—22no—
210#340C2318yes—
211#340C2318yes—
212#340C2318yes—
213#340C2318yes—
214#336C2314yes—
215#336C2314yes—
216C25—21no—
217C25C2×D411yescharacteristic
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—44no—
221C22×Q8—44no—
222C22×Q8—44no—
223C22×D4—28no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—24no—
227C22×D4—21no—
228C22×D4—24no—
229C22×D4—42no—
230C22×D4—44no—
231C22×D4—44no—
232C22×D4C2412yes—
233C23×C4—21no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—21no—
238C23×C4—21no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—42no—
244C23×C4—42no—
245C23×C4—42no—
246C23×C4—42no—
247C23×C4—42no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—44no—
251C23×C4D818yes—
252C23×C4C2×D411yescharacteristic
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2×D411yescharacteristic
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2411yescharacteristic
268C23×C4C2411yescharacteristic
269C23×C4C2411yescharacteristic
270C22×C8C2418yes—
271C4⋊Q8—28no—
272C4⋊Q8—44no—
273C4⋊Q8—44no—
274C4⋊Q8—44no—
275C22⋊Q8—48no—
276C22⋊Q8—48no—
277C22⋊Q8—48no—
278C22⋊Q8—48no—
279#121—28no—
280#121—28no—
281#121—24no—
282#121—24no—
283#121—24no—
284#121#4118yes—
285C4×D4—28no—
286C4×D4—44no—
287C4×D4—44no—
288C4×D4—44no—
289C4×D4—48no—
290C4×D4—48no—
291C4×D4—48no—
292C4×D4—48no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—28no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—42no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4—44no—
317C2×C4⋊C4—48no—
318C2×C4⋊C4C2412yes—
319C2×C4⋊C4C2414yes—
320C2×C4⋊C4C2412yes—
321C2×C4⋊C4C2414yes—
322C2×C4⋊C4C2412yes—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—22no—
325C2×C22⋊C4—22no—
326C2×C22⋊C4—22no—
327C2×C22⋊C4—22no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—22no—
331C2×C22⋊C4—22no—
332C2×C22⋊C4—22no—
333C2×C22⋊C4—22no—
334C2×C22⋊C4—22no—
335C2×C22⋊C4—22no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—48no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C42—24no—
342C2×C42—24no—
343C2×C42—24no—
344C2×C42—22no—
345C2×C42—22no—
346C2×C42—42no—
347C2×C42—42no—
348C2×C42—42no—
349C2×C42—42no—
350C2×C42—42no—
351C2×C42—42no—
352C2×C42—42no—
353C2×C42—42no—
354C2×C42—42no—
355C2×C42—44no—
356C2×C42C2×D411yescharacteristic
357C2×C42C2×D411yescharacteristic
358C2×C42C2×D411yescharacteristic
359C2×C42C2×D411yescharacteristic
360C2×C42C2×D411yescharacteristic
361C2×C42C2×D411yescharacteristic
362C2×C42C2×D411yescharacteristic
363C2×C42C2×D411yescharacteristic
364C2×C42C2×D411yescharacteristic
365C2×C42C2×D411yescharacteristic
366C2×C42C2×D411yescharacteristic
367C2×C42C2×D411yescharacteristic
368C2×C42C2411yescharacteristic
369C2×C42C2411yescharacteristic
370C2×C42C2411yescharacteristic
371C2×C42C2411yescharacteristic
372#107—216no—
373#107—48no—
374C4⋊C8—28no—
375#102—216no—
376#102—48no—
377C22⋊C8—28no—
378C22⋊C8—28no—
379C22⋊C8—44no—
380C4×C8—44no—
381#95—22no—
382#95—22no—
383#95—22no—
384#95—22no—
385#95—22no—
386#95—22no—
387#95—24no—
388#95—24no—
389#95—24no—
390#95—24no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—24no—
396C24—22no—
397C24—41no—
398C24—41no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24C2×D814yes—
406C24C22×D411yescharacteristic
407C24C22×D411yescharacteristic
408C24C22×D411yescharacteristic
409C2×Q8—44no—
410C2×Q8—44no—
411C2×Q8—44no—
412C2×Q8—44no—
413C2×Q8—44no—
414C2×Q8—44no—
415C2×Q8—816no—
416C2×D4—24no—
417C2×D4—28no—
418C2×D4—28no—
419C2×D4—22no—
420C2×D4—24no—
421C2×D4—24no—
422C2×D4—416no—
423C2×D4—42no—
424C2×D4—432no—
425C2×D4—44no—
426C2×D4—44no—
427C2×D4—44no—
428C2×D4—44no—
429C2×D4—42no—
430C2×D4C2×#4114yes—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—24no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—416no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—41no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—41no—
483C22×C4—416no—
484C22×C4—416no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—44no—
491C22×C4—42no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—44no—
497C22×C4—42no—
498C22×C4—44no—
499C22×C4—42no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—816no—
506C22×C4C2×D814yes—
507C22×C4C2×D814yes—
508C22×C4C2×D814yes—
509C22×C4C2×D814yes—
510C22×C4C2×D814yes—
511C22×C4C2×D814yes—
512C22×C4#13714yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C2×#4114yes—
525C22×C42−1+414yes—
526C22×C4C2511yescharacteristic
527C2×C8—28no—
528C2×C8—28no—
529C2×C8—28no—
530C4⋊C4—24no—
531C4⋊C4—22no—
532C4⋊C4—28no—
533C4⋊C4—28no—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—44no—
537C4⋊C4—44no—
538C4⋊C4—42no—
539C4⋊C4—44no—
540C4⋊C4—44no—
541C4⋊C4—44no—
542C4⋊C4—44no—
543C4⋊C4—42no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—48no—
549C4⋊C4—48no—
550C4⋊C4C2×#4114yes—
551C22⋊C4—28no—
552C22⋊C4—28no—
553C22⋊C4—44no—
554C22⋊C4—44no—
555C22⋊C4—44no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—44no—
559C22⋊C4—44no—
560C22⋊C4—44no—
561C22⋊C4—44no—
562C22⋊C4—44no—
563C42—22no—
564C42—22no—
565C42—22no—
566C42—22no—
567C42—22no—
568C42—22no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—41no—
573C42—41no—
574C42—41no—
575C42—41no—
576C42—41no—
577C42—41no—
578C42—44no—
579C42—44no—
580C42H(5,𝔽2)14yes—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—28no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—28no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—24no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—48no—
604C23—48no—
605C23—48no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23#52512yes—
617C23#53612yes—
618C23C22×D812yes—
619C23C22×D812yes—
620C23C22×D812yes—
621C23C2×#13712yes—
622C23#57512yes—
623C23C23×D411yescharacteristic
624Q8—88no—
625Q8—88no—
626D4—28no—
627D4—48no—
628D4—416no—
629D4—416no—
630D4—44no—
631C2×C4—28no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—28no—
649C2×C4—28no—
650C2×C4—28no—
651C2×C4—28no—
652C2×C4—28no—
653C2×C4—21no—
654C2×C4—24no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—48no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—44no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—88no—
688C2×C4—84no—
689C2×C4—88no—
690C2×C4—88no—
691C2×C4—84no—
692C2×C4—88no—
693C2×C4#52512yes—
694C2×C4#53412yes—
695C2×C4#53412yes—
696C2×C4#53612yes—
697C2×C4C22×D812yes—
698C2×C4C22×D812yes—
699C2×C4C22×D812yes—
700C2×C4C22×D812yes—
701C2×C4C2×#13712yes—
702C2×C4C2×#13712yes—
703C2×C4#57512yes—
704C2×C4C22×#4112yes—
705C2×C4C2×H(5,𝔽2)12yes—
706C2×C4C2×2−1+412yes—
707C8—48no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—416no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—816no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22#310014yes—
737C22#322614yes—
738C22C2×#52511yescharacteristic
739C22C2×#53411yescharacteristic
740C22C2×#53611yescharacteristic
741C22C23×D811yescharacteristic
742C22C22×#13711yescharacteristic
743C22C2×#57511yescharacteristic
744C22C2×#57511yescharacteristic
745C4—22no—
746C4—22no—
747C4—22no—
748C4—22no—
749C4—22no—
750C4—22no—
751C4—22no—
752C4—22no—
753C4—41no—
754C4—41no—
755C4—44no—
756C4—82no—
757C4—84no—
758C4—84no—
759C4—82no—
760C4#318614yes—
761C4#352014yes—
762C2—24no—
763C2—24no—
764C2—42no—
765C2—84no—
766C2#3508411yescharacteristic
767C2C2×#310011yescharacteristic
768C2#6056211yescharacteristic
769C2C2×#318611yescharacteristic
770C2#6075111yescharacteristic
771C2C2×#322611yescharacteristic
772C2#6086611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2857C2semidirect
3. #33146C2semidirect
4. #32953C2semidirect
5. #30165C2semidirect
6. #29296C2semidirect
7. #29103C2semidirect
8. #27644C2semidirect
9. #27600C2semidirect
10. #24700C2semidirect
11. #24298C2semidirect
13. #22075C2semidirect
14. #20714C2semidirect
15. C22×C4⋊Q8C22semidirect
22. C2×#474C22semidirect
23. C2×#431C22semidirect
30. #2857C22semidirect
31. #2857C22semidirect
44. C2×#389C22semidirect
47. C2×#384C22semidirect
53. #2083C22semidirect
54. #2075C22semidirect
55. #2071C22semidirect
56. #2057C22semidirect
58. #2023C22semidirect
59. #1988C22semidirect
60. #1947C22semidirect
61. #1942C22semidirect
62. #1934C22semidirect
63. #1918C22semidirect
65. #1862C22semidirect
68. #1852C22semidirect
70. #1823C22semidirect
71. #1817C22semidirect
72. #1802C22semidirect
74. #1797C22semidirect
78. C4×C22⋊C8C22semidirect

Maximal subgroups

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

subgroupindex
C2×#28572
C2×C4×#1212
#331462
#329532
#301652
#292962
#291032
#276442
#276002
#247002
#242982
#240022
#220752
#207142