Finite Group Databasebeta

← #6794847

Subgroups — #6794847

Order 512.

1994 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36160C211yesmaximal, characteristic
2C2×#2538C211yesmaximal, characteristic, complemented
3#32957C211yesmaximal, characteristic, complemented
4#32007C214yesmaximal, complemented
5#30570C214yesmaximal, complemented
6#29891C212yesmaximal, complemented
7#28223C212yesmaximal, complemented
8#27948C211yesmaximal, characteristic, complemented
9#27677C211yesmaximal, characteristic, complemented
10#25340C212yesmaximal, complemented
11#25015C212yesmaximal, complemented
12#24381C212yesmaximal, complemented
13#24121C212yesmaximal, complemented
14#24010C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16#21941C212yesmaximal, complemented
17C4×#448C211yesmaximal, characteristic, complemented
18C2×#555C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C4×Q8C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C2×#485C2214yescomplemented
23C2×#477C2212yescomplemented
24C2×#465C2214yescomplemented
25C2×#448C2211yescharacteristic
26C2×C4×SD16C2212yescomplemented
27C2×C8×D4C2212yes—
28C22×C22⋊C8C2212yes—
29#2857C2211yescharacteristic
30#2847C2212yes—
31#2563C2211yescharacteristic
32#2538—21no—
33#2538—21no—
34#2538—22no—
35#2538C2214yes—
36#2538C2212yes—
37#2538C2212yes—
38#2537C2211yescharacteristic
39#2485C2212yes—
40#2472—22no—
41#2459—22no—
42#2420—21no—
43#2414C2212yes—
44#2408—21no—
45C2×#396—22no—
46#2363—21no—
47#2354C2211yescharacteristic
48#2352—21no—
49C4×#121C2211yescharacteristic
50C2×#390—21no—
51C2×#389—21no—
52C2×#384C2211yescharacteristic
53#2280C2212yes—
54C2×#380C2212yes—
55#2099C2212yescomplemented
56#2093C2212yescomplemented
57#2084C2214yescomplemented
58#2077C2214yescomplemented
59#2076C2214yescomplemented
60#2036C2214yescomplemented
61#2035C2214yescomplemented
62#2035C2214yescomplemented
63#2034C2214yescomplemented
64#2033C2214yescomplemented
65#2000C2214yescomplemented
66#1990C2212yescomplemented
67#1954C2212yes—
68#1947C2212yescomplemented
69#1892C2214yescomplemented
70#1880C2212yescomplemented
71#1874C2212yes—
72#1874C2211yescharacteristic
73#1873C2214yescomplemented
74#1869C2214yes—
75#1865C2212yescomplemented
76#1863C2214yescomplemented
77#1854C2214yescomplemented
78#1854C2214yescomplemented
79#1853C2212yes—
80#1853C2212yes—
81#1853C2211yescharacteristic
82#1852C2212yes—
83#1852C2212yes—
84#1844C2212yescomplemented
85#1808C2214yescomplemented
86#1807C2214yescomplemented
87#1803C2212yescomplemented
88#1802C2212yescomplemented
89#1797C2211yescharacteristic
90#1787C2212yes—
91#1787C2211yescharacteristic
92#1779C2212yes—
93C4×#103C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C23×Q8C2311yescharacteristic
96C23×D4D411yescharacteristic
97C24×C4C2312yes—
98C22×SD16C2312yes—
99C23×C8C2314yes—
100#555—44no—
101C2×C4⋊Q8C2311yescharacteristic
102C2×#124—22no—
103C2×C22⋊Q8—22no—
104C2×C22⋊Q8—22no—
105C2×C22⋊Q8—21no—
106C2×C22⋊Q8—48no—
107C2×C22⋊Q8C2314yes—
108C2×C22⋊Q8C2314yes—
109C2×#121—21no—
110C2×#121—21no—
111C2×#121C2311yescharacteristic
112C2×#121C2312yes—
113C2×#121C2312yes—
114C2×#120—22no—
115C2×C4×Q8—21no—
116C2×C4×Q8—21no—
117C2×C4×Q8—44no—
118C2×C4×Q8C2312yes—
119C2×C4×Q8C2312yes—
120C2×C4×D4—21no—
121C2×C4×D4—44no—
122C2×C4×D4D411yescharacteristic
123C2×C4×D4D411yescharacteristic
124C2×C4×D4D412yes—
125C2×C4×D4C2311yescharacteristic
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2312yes—
129C2×#117—21no—
130C2×#117C2312yes—
131C2×#117C2312yes—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—22no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4D411yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2312yes—
139C22×C22⋊C4—22no—
140C22×C22⋊C4—22no—
141C22×C22⋊C4D412yes—
142C22×C42—21no—
143C22×C42C2311yescharacteristic
144#485—48no—
145#477—44no—
146#465—48no—
147#448—24no—
148C4×SD16—44no—
149C8×D4—44no—
150C2×#107C2314yes—
151C2×#107C2314yes—
152C2×#106C2312yes—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×C4⋊C8C2312yes—
156C2×#103C2314yes—
157C2×#103C2312yes—
158C2×#103C2312yes—
159C2×#103C2314yes—
160C2×#103C2312yes—
161C2×#102C2314yes—
162C2×#102C2312yes—
163C2×C22⋊C8—28no—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2311yescharacteristic
167C2×C22⋊C8C2314yes—
168C2×C22⋊C8C2314yes—
169C2×C22⋊C8C2311yescharacteristic
170C2×C4×C8C2312yes—
171#397—22no—
172#396—24no—
173#396—24no—
174#396—24no—
175#396—24no—
176#394—22no—
177#394—22no—
178#394—22no—
179#393—22no—
180#392—22no—
181#391—21no—
182#390—21no—
183#390—21no—
184#390—22no—
185#390—24no—
186#390—22no—
187#390—22no—
188#390C2311yescharacteristic
189#389—22no—
190#389—22no—
191#389—24no—
192#389—21no—
193#389C2312yes—
194#389C2311yescharacteristic
195#388—22no—
196#388—22no—
197#388—22no—
198#388—21no—
199#387—22no—
200#386—22no—
201#386—22no—
202#386—22no—
203#386—21no—
204#384—21no—
205#384—21no—
206#384C2312yes—
207#384C2311yescharacteristic
208#384C2312yes—
209#382—21no—
210#381—22no—
211#380—21no—
212#380—22no—
213#380—22no—
214#380—21no—
215#380C2312yes—
216#380C2312yes—
217#380C2312yes—
218#380C2314yes—
219#380C2312yes—
220#380C2314yes—
221#380C2312yes—
222#380C2311yescharacteristic
223#379—22no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4C2311yescharacteristic
226C4×C22⋊C4—22no—
227C4×C22⋊C4—22no—
228C4×C22⋊C4—21no—
229C2×#95—22no—
230#340C2314yes—
231#340C2314yes—
232#340C2312yes—
233#340C2314yes—
234#340C2312yes—
235#340C2314yes—
236#340C2314yes—
237#336C2312yes—
238#336C2312yes—
239C25C2×D412yes—
240C22×Q8—24no—
241C22×Q8—21no—
242C22×Q8—21no—
243C22×Q8—22no—
244C22×Q8—22no—
245C22×Q8—42no—
246C22×Q8C2412yes—
247C22×D4—24no—
248C22×D4—21no—
249C22×D4—22no—
250C22×D4—22no—
251C22×D4—24no—
252C22×D4—42no—
253C22×D4C2×D411yescharacteristic
254C22×D4C2×D412yes—
255C22×D4C2×D411yescharacteristic
256C22×D4C2411yescharacteristic
257C23×C4—21no—
258C23×C4—24no—
259C23×C4—24no—
260C23×C4—22no—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—44no—
264C23×C4—44no—
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D412yes—
268C23×C4C2×D412yes—
269C23×C4C2×D412yes—
270C23×C4C2412yes—
271C23×C4C2412yes—
272C23×C4C2411yescharacteristic
273C2×SD16—24no—
274C2×SD16—24no—
275C2×SD16—42no—
276C22×C8—28no—
277C22×C8—44no—
278C22×C8—44no—
279C22×C8C2414yes—
280C22×C8C2412yes—
281C22×C8C2412yes—
282C4⋊Q8—24no—
283#124—48no—
284C22⋊Q8—28no—
285C22⋊Q8—28no—
286C22⋊Q8—44no—
287C22⋊Q8—44no—
288C22⋊Q8—48no—
289C22⋊Q8—48no—
290C22⋊Q8—82no—
291#121—22no—
292#121—22no—
293#121—44no—
294#121—44no—
295#121—44no—
296#121—44no—
297#120—84no—
298C4×Q8—24no—
299C4×Q8—24no—
300C4×Q8—42no—
301C4×Q8—42no—
302C4×Q8—44no—
303C4×Q8—44no—
304C4×D4—24no—
305C4×D4—24no—
306C4×D4—24no—
307C4×D4—44no—
308C4×D4—42no—
309C4×D4—42no—
310C4×D4—44no—
311C4×D4—44no—
312#117—44no—
313#117—44no—
314#117—44no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—42no—
331C2×C4⋊C4—42no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—48no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—82no—
337C2×C4⋊C4C2×D411yescharacteristic
338C2×C4⋊C4C2×D411yescharacteristic
339C2×C4⋊C4C2×D412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2414yes—
342C2×C4⋊C4C2411yescharacteristic
343C2×C4⋊C4C2411yescharacteristic
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2411yescharacteristic
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—21no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—21no—
355C2×C22⋊C4—21no—
356C2×C22⋊C4—21no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—48no—
367C2×C22⋊C4—84no—
368C2×C22⋊C4C2×D412yes—
369C2×C22⋊C4C2×D412yes—
370C2×C22⋊C4C2×D412yes—
371C2×C22⋊C4C2×D412yes—
372C2×C42—24no—
373C2×C42—22no—
374C2×C42—21no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—44no—
379C2×C42C2×D411yescharacteristic
380C2×C42C2×D411yescharacteristic
381C2×C42C2411yescharacteristic
382C2×C42C2411yescharacteristic
383#107—44no—
384#107—44no—
385#106—42no—
386#106—44no—
387#106—44no—
388C4⋊C8—24no—
389#103—28no—
390#103—24no—
391#103—24no—
392#103—42no—
393#103—44no—
394#102—42no—
395#102—44no—
396C22⋊C8—24no—
397C22⋊C8—22no—
398C22⋊C8—28no—
399C22⋊C8—44no—
400C22⋊C8—44no—
401C22⋊C8#4114yes—
402C4×C8—24no—
403#95—24no—
404#95—24no—
405#95—21no—
406#95—22no—
407#95—22no—
408#95—22no—
409#95—21no—
410#95—22no—
411#95—21no—
412#95—22no—
413#95—22no—
414C24—24no—
415C24—24no—
416C24—24no—
417C24—24no—
418C24—21no—
419C24—42no—
420C24—42no—
421C24—42no—
422C24C22×D412yes—
423C24C22×D412yes—
424C24C22×D411yescharacteristic
425C2×Q8—24no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—48no—
432C2×Q8—48no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—42no—
436C2×Q8—81no—
437C2×Q8—81no—
438C2×Q8H(5,𝔽2)14yes—
439C2×D4—24no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—24no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—21no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—21no—
450C2×D4—416no—
451C2×D4—42no—
452C2×D4—42no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—82no—
458C2×D4—82no—
459C2×D4—82no—
460C2×D4—82no—
461C2×D4#13714yes—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—41no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—44no—
499C22×C4—42no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—88no—
507C22×C4—88no—
508C22×C4#13514yes—
509C22×C4C22×D412yes—
510C22×C4C22×D412yes—
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C2×#4112yes—
517C22×C42−1+412yes—
518C22×C4C2511yescharacteristic
519SD16—48no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—24no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—24no—
526C2×C8—24no—
527C2×C8—22no—
528C2×C8—88no—
529C2×C8C2×#4114yes—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—21no—
533C4⋊C4—22no—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—24no—
539C4⋊C4—24no—
540C4⋊C4—22no—
541C4⋊C4—21no—
542C4⋊C4—42no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—42no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—42no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—82no—
555C4⋊C4—82no—
556C4⋊C4—81no—
557C4⋊C4—82no—
558C22⋊C4—24no—
559C22⋊C4—24no—
560C22⋊C4—42no—
561C22⋊C4—42no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—42no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—81no—
573C22⋊C4—82no—
574C22⋊C4—82no—
575C22⋊C4—84no—
576C22⋊C4—84no—
577C22⋊C4—82no—
578C22⋊C4—82no—
579C22⋊C4—82no—
580C42—22no—
581C42—22no—
582C42—22no—
583C42—44no—
584C42—44no—
585C42—44no—
586C42—42no—
587C42—82no—
588C42H(5,𝔽2)14yes—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—48no—
607C23—48no—
608C23—48no—
609C23—48no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23#54712yes—
621C23C2×#13512yes—
622C23C2×#13714yes—
623C23#57712yes—
624C23C23×D411yescharacteristic
625Q8—24no—
626Q8—24no—
627Q8—48no—
628Q8—42no—
629Q8—42no—
630Q8—162no—
631D4—28no—
632D4—48no—
633D4—44no—
634D4—42no—
635D4—42no—
636D4—84no—
637D4—164no—
638D4—164no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—28no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—44no—
659C2×C4—48no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—41no—
668C2×C4—44no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—44no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—84no—
688C2×C4—84no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4—88no—
692C2×C4—84no—
693C2×C4#53412yes—
694C2×C4#53412yes—
695C2×C4#54712yes—
696C2×C4C2×#13512yes—
697C2×C4C2×#13512yes—
698C2×C4C2×#13712yes—
699C2×C4C22×#4111yescharacteristic
700C2×C4C2×H(5,𝔽2)12yes—
701C2×C4C2×H(5,𝔽2)12yes—
702C2×C4C2×2−1+411yescharacteristic
703C8—24no—
704C8—44no—
705C8—42no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—24no—
713C22—24no—
714C22—24no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—816no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22—81no—
731C22—81no—
732C22—81no—
733C22—81no—
734C22#334014yes—
735C22C2×#53411yescharacteristic
736C22C2×#54711yescharacteristic
737C22#348411yescharacteristic
738C22C22×#13511yescharacteristic
739C22C22×#13711yescharacteristic
740C22C2×#57711yescharacteristic
741C22#358511yescharacteristic
742C4—22no—
743C4—22no—
744C4—22no—
745C4—42no—
746C4—42no—
747C4—44no—
748C4—41no—
749C4—81no—
750C4—81no—
751C4—82no—
752C4—82no—
753C4—81no—
754C4—84no—
755C4—82no—
756C4#319014yes—
757C4#351912yes—
758C4#353612yes—
759C2—24no—
760C2—44no—
761C2—82no—
762C2—161no—
763C2#3891611yescharacteristic
764C2C2×#319011yescharacteristic
765C2#6076511yescharacteristic
766C2C2×#334011yescharacteristic
767C2#6125411yescharacteristic
768C2#6156611yescharacteristic
769C2#6159311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36160C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2538C2semidirect
3. #32957C2semidirect
4. #32007C2semidirect
5. #30570C2semidirect
6. #29891C2semidirect
7. #28223C2semidirect
8. #27948C2semidirect
9. #27677C2semidirect
10. #25340C2semidirect
11. #25015C2semidirect
12. #24381C2semidirect
13. #24121C2semidirect
14. #24010C2semidirect
15. D4×C22⋊C8C2semidirect
16. #21941C2semidirect
17. C4×#448C2semidirect
22. C2×#485C22semidirect
23. C2×#477C22semidirect
24. C2×#465C22semidirect
26. C2×C4×SD16C22semidirect
55. #2099C22semidirect
56. #2093C22semidirect
57. #2084C22semidirect
58. #2077C22semidirect
59. #2076C22semidirect
60. #2036C22semidirect
61. #2035C22semidirect
62. #2035C22semidirect
63. #2034C22semidirect
64. #2033C22semidirect
65. #2000C22semidirect
66. #1990C22semidirect
68. #1947C22semidirect
69. #1892C22semidirect
70. #1880C22semidirect
73. #1873C22semidirect
75. #1865C22semidirect
76. #1863C22semidirect
77. #1854C22semidirect
78. #1854C22semidirect
84. #1844C22semidirect
85. #1808C22semidirect
86. #1807C22semidirect
87. #1803C22semidirect
88. #1802C22semidirect
93. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
#361602
C2×#25382
#329572
#320072
#305702
#298912
#282232
#279482
#276772
#253402
#250152
#243812
#241212
#240102
D4×C22⋊C82
#219412
C4×#4482