Finite Group Databasebeta

← #49135413

Subgroups — #49135413

Order 36224.

1336 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#31827208C211yesmaximal, characteristic, complemented
2#31827205C211yesmaximal, characteristic, complemented
3#31827203C212yesmaximal, complemented
4#31827143C211yesmaximal, characteristic, complemented
5#31827138C212yesmaximal, complemented
6#31827112C212yesmaximal, complemented
7#31827107C212yesmaximal, complemented
8#31827105C212yesmaximal, complemented
9D4×C22⋊D283C212yesmaximal, complemented
10#31827097C211yesmaximal, characteristic, complemented
11#31827051C212yesmaximal, complemented
12#31827050C212yesmaximal, complemented
13#31827047C212yesmaximal, complemented
14#31827032C211yesmaximal, characteristic, complemented
15#31827031C212yesmaximal, complemented
16#31827025C212yesmaximal, complemented
17C2×#22583578C211yesmaximal, characteristic, complemented
18#120×D283C212yesmaximal, complemented
19#534×C283C211yesmaximal, characteristic, complemented
20C24×D283C2211yescharacteristic, complemented
21C2×#17985392C2211yescharacteristic, complemented
22C2×#17985392C2212yescomplemented
23C22×C22⋊D283C2212yescomplemented
24C22×C22⋊D283C2212yescomplemented
25C2×D4×D283C2212yescomplemented
26C2×D4×D283C2212yescomplemented
27C2×D4×D283C2212yescomplemented
28#22583606C2211yescharacteristic, complemented
29#22583606C2211yescharacteristic, complemented
30#22583606C2212yescomplemented
31#22583605C2212yescomplemented
32#22583605C2212yescomplemented
33#22583603C2212yescomplemented
34#22583603C2212yescomplemented
35#22583597C2211yescharacteristic, complemented
36#22583597C2212yescomplemented
37#22583597C2211yescharacteristic, complemented
38#22583596C2212yescomplemented
39#22583596C2212yescomplemented
40#22583596C2212yescomplemented
41#22583596C2212yescomplemented
42#22583595C2212yescomplemented
43#22583594C2212yescomplemented
44#22583593C2212yescomplemented
45#22583592C2212yescomplemented
46#22583592C2212yescomplemented
47#22583592C2212yescomplemented
48#22583591C2212yescomplemented
49#22583590C2212yescomplemented
50#22583588C2212yescomplemented
51#22583587C2212yescomplemented
52#22583585C2212yescomplemented
53#22583584C2212yescomplemented
54#22583584C2212yescomplemented
55#22583583C2212yescomplemented
56#22583583C2212yescomplemented
57#22583583C2212yescomplemented
58#22583582C2212yescomplemented
59#22583582C2212yescomplemented
60#22583582C2212yescomplemented
61#22583581C2212yescomplemented
62#22583581C2212yescomplemented
63#22583581C2212yescomplemented
64#22583581C2212yescomplemented
65#22583580C2212yescomplemented
66#22583580C2212yescomplemented
67#22583580C2212yescomplemented
68#22583580C2212yescomplemented
69#22583579C2212yescomplemented
70#22583579C2212yescomplemented
71#22583579C2212yescomplemented
72#22583578C2212yes—
73#22583578C2211yescharacteristic
74#22583578C2211yescharacteristic, complemented
75#22583578C2212yescomplemented
76#22583578C2212yescomplemented
77#22583578C2211yescharacteristic, complemented
78#22583578C2212yescomplemented
79#22583578C2212yescomplemented
80#22583578C2211yescharacteristic, complemented
81#22583578C2212yescomplemented
82D4×Dic283C2212yescomplemented
83#22583572C2212yescomplemented
84C4×C22⋊D283C2212yescomplemented
85C4×C22⋊D283C2212yescomplemented
86(C22⋊D283)⋊C4C2212yescomplemented
87(C22⋊D283)⋊C4C2212yescomplemented
88#22583569C2211yescharacteristic, complemented
89#22583568C2212yescomplemented
90C2×C22⋊Dic283C2211yescharacteristic, complemented
91C2×(C2×D283)⋊C4C2212yescomplemented
92C22⋊C4×D283C2212yescomplemented
93C22⋊C4×D283C2212yescomplemented
94C22⋊C4×D283C2212yescomplemented
95C22⋊C4×D283C2212yescomplemented
96C22×D4×C283C2211yescharacteristic, complemented
97C22×D4×C283C2211yescharacteristic, complemented
98#123×C283C2211yescharacteristic, complemented
99#123×C283C2211yescharacteristic, complemented
100#123×C283C2212yescomplemented
101#121×C283C2212yescomplemented
102#121×C283C2212yescomplemented
103#120×C283C2212yescomplemented
104#120×C283C2211yescharacteristic, complemented
105#120×C283C2211yescharacteristic, complemented
106C2×C22⋊C4×C283C2211yescharacteristic, complemented
107C23×D283—42no—
108C23×D283—44no—
109C23×D283C2311yescharacteristic
110C23×D283C2312yes—
111C23×D283C2312yes—
112C23×D283C2312yes—
113C23×D283C2311yescharacteristic
114#17985392—42no—
115#17985392—44no—
116C2×Dic566C2312yescomplemented
117C2×Dic566C2311yescharacteristic, complemented
118C2×D1132C2312yes—
119C2×D1132C2312yes—
120C2×D1132C2312yes—
121C2×D1132C2311yescharacteristic, complemented
122C2×C22⋊D283—44no—
123C2×C22⋊D283—44no—
124C2×C22⋊D283C2312yes—
125C2×C22⋊D283C2312yes—
126C2×C22⋊D283C2312yes—
127C2×C22⋊D283C2312yes—
128C2×C22⋊D283C2312yes—
129C2×C22⋊D283C2312yes—
130C2×C22⋊D283C2312yes—
131C2×C22⋊D283C2312yes—
132C2×C22⋊D283C2312yes—
133C2×C22⋊D283C2312yes—
134C2×C22⋊D283C2312yescomplemented
135C2×C22⋊D283C2312yescomplemented
136C2×C22⋊D283C2312yescomplemented
137D4×D283—44no—
138D4×D283—44no—
139D4×D283—44no—
140C22×Dic283C2312yes—
141C22×Dic283C2312yescomplemented
142C2×C4×D283C2312yes—
143C2×C4×D283C2312yes—
144C2×C4×D283C2312yes—
145C2×C4×D283C2312yescomplemented
146C2×C4×D283C2312yescomplemented
147C4⋊Dic283C2312yescomplemented
148C4⋊Dic283C2312yescomplemented
149C4⋊Dic283C2312yescomplemented
150Dic283⋊C4C2312yescomplemented
151Dic283⋊C4C2312yescomplemented
152Dic283⋊C4C2312yescomplemented
153Dic283⋊C4C2312yescomplemented
154C22⋊Dic283C2312yes—
155C22⋊Dic283C2312yes—
156C22⋊Dic283C2312yes—
157C22⋊Dic283C2311yescharacteristic
158C22⋊Dic283C2312yes—
159C22⋊Dic283C2311yescharacteristic
160C22⋊Dic283C2312yescomplemented
161C22⋊Dic283C2312yescomplemented
162C22⋊Dic283C2312yescomplemented
163C22⋊Dic283C2312yescomplemented
164(C2×D283)⋊C4C2312yes—
165(C2×D283)⋊C4C2312yes—
166(C2×D283)⋊C4C2312yes—
167(C2×D283)⋊C4C2312yes—
168(C2×D283)⋊C4C2312yes—
169(C2×D283)⋊C4C2312yes—
170(C2×D283)⋊C4C2312yes—
171(C2×D283)⋊C4C2312yes—
172(C2×D283)⋊C4C2312yes—
173(C2×D283)⋊C4C2312yes—
174(C2×D283)⋊C4C2312yescomplemented
175(C2×D283)⋊C4C2312yescomplemented
176C4×Dic283C2311yescharacteristic, complemented
177C4×Dic283C2312yescomplemented
178C4×Dic283C2311yescharacteristic, complemented
179C4×Dic283C2312yescomplemented
180C24×C283C2311yescharacteristic
181C24×C283C2311yescharacteristic
182C24×C283C2311yescharacteristic, complemented
183C2×D4×C283—42no—
184C2×D4×C283—42no—
185C2×D4×C283C2312yes—
186C2×D4×C283C2311yescharacteristic
187C2×D4×C283C2311yescharacteristic
188C2×D4×C283C2311yescharacteristic
189C2×D4×C283C2311yescharacteristic
190C2×D4×C283C2312yes—
191C2×D4×C283C2312yes—
192C2×D4×C283C2312yescomplemented
193C22×C4×C283C2311yescharacteristic
194C22×C4×C283C2311yescharacteristic, complemented
195C22×C4×C283C2312yescomplemented
196C4⋊C4×C283C2312yescomplemented
197C4⋊C4×C283C2312yescomplemented
198C22⋊C4×C283C2312yes—
199C22⋊C4×C283C2312yes—
200C22⋊C4×C283C2312yes—
201C22⋊C4×C283C2312yescomplemented
202C22⋊C4×C283C2312yescomplemented
203C22⋊C4×C283C2311yescharacteristic, complemented
204C22⋊C4×C283C2311yescharacteristic, complemented
205C22×D283—24no—
206C22×D283—24no—
207C22×D283—24no—
208C22×D283—24no—
209C22×D283—24no—
210C22×D283—41no—
211C22×D283—42no—
212C22×D283—42no—
213C22×D283—42no—
214C22×D283—42no—
215C22×D283—41no—
216C22×D283—42no—
217C22×D283—42no—
218C22×D283—416no—
219C22×D283C2412yes—
220C22×D283C2412yes—
221C22×D283C2412yes—
222Dic566—42no—
223Dic566—41no—
224D1132—24no—
225D1132—42no—
226D1132—42no—
227D1132—41no—
228C22⋊D283—24no—
229C22⋊D283—24no—
230C22⋊D283—24no—
231C22⋊D283—24no—
232C22⋊D283—42no—
233C22⋊D283—42no—
234C22⋊D283—42no—
235C22⋊D283—42no—
236C22⋊D283—42no—
237C22⋊D283—42no—
238C22⋊D283—42no—
239C22⋊D283—42no—
240C22⋊D283—42no—
241C2×Dic283—42no—
242C2×Dic283—42no—
243C2×Dic283C2412yes—
244C2×Dic283C2412yes—
245C2×Dic283C2412yes—
246C2×Dic283C2412yes—
247C2×Dic283C2412yes—
248C4×D283—24no—
249C4×D283—42no—
250C4×D283—42no—
251C4×D283—42no—
252C4×D283—42no—
253C23×C283—22no—
254C23×C283—22no—
255C23×C283—42no—
256C23×C283—41no—
257C23×C283—42no—
258C23×C283—42no—
259C23×C283C2411yescharacteristic
260C23×C283C2411yescharacteristic
261C23×C283C2411yescharacteristic
262C23×C283C2412yes—
263C23×C283C2411yescharacteristic
264C23×C283C2411yescharacteristic
265D4×C283—24no—
266D4×C283—41no—
267D4×C283—41no—
268D4×C283—41no—
269D4×C283—41no—
270D4×C283—42no—
271D4×C283—42no—
272D4×C283—42no—
273C2×C4×C283—22no—
274C2×C4×C283—41no—
275C2×C4×C283—42no—
276C2×C4×C283C2412yes—
277C2×C4×C283C2412yes—
278C2×C4×C283C2412yes—
279C2×C4×C283C2411yescharacteristic
280C2×C4×C283C2411yescharacteristic
281C22×C283—22no—
282C22×C283—21no—
283C22×C283—22no—
284C22×C283—22no—
285C22×C283—21no—
286C22×C283—21no—
287C22×C283—21no—
288C22×C283—22no—
289C22×C283—22no—
290C22×C283—22no—
291C22×C283—22no—
292C22×C283—22no—
293C22×C283—44no—
294C22×C283—82no—
295C22×C283—82no—
296C22×C283H(5,𝔽2)12yes—
297C22×C283C2511yescharacteristic
298C2×D283—22no—
299C2×D283—22no—
300C2×D283—22no—
301C2×D283—22no—
302C2×D283—22no—
303C2×D283—22no—
304C2×D283—22no—
305C2×D283—22no—
306C2×D283—44no—
307C2×D283—48no—
308C2×D283—48no—
309C2×D283—44no—
310C2×D283—84no—
311C2×D283H(5,𝔽2)14yes—
312C4×C283—21no—
313C4×C283—21no—
314C4×C283—22no—
315C4×C283—22no—
316C4×C283—22no—
317Dic283—22no—
318Dic283—22no—
319Dic283—22no—
320Dic283—22no—
321Dic283—22no—
322C2×C283—22no—
323C2×C283—41no—
324C2×C283—41no—
325C2×C283—42no—
326C2×C283—41no—
327C2×C283—41no—
328C2×C283C2×H(5,𝔽2)12yes—
329C2×C283C2×H(5,𝔽2)11yescharacteristic
330D283—24no—
331D283—42no—
332D283—42no—
333C283#353211yescharacteristic, complemented, Sylow
334#3532—2831nomaximal, Sylow
335H(3,𝔽4)—2831no—
336#560—2831no—
337#560—2832no—
338#551—2832no—
339#551—2831no—
340#546—2832no—
341#546—2832no—
342#546—2832no—
343D42—2832no—
344D42—2831no—
345#538—2832no—
346#538—2832no—
347#538—2832no—
348#535—2831no—
349#535—2832no—
350#534—2832no—
351#534D28311yescharacteristic, complemented
352C2×#120—2831no—
353C2×#120—2832no—
354C25—2831no—
355C2×#41—2831no—
356C2×#41—2832no—
357C22×D4—2832no—
358C22×D4—2832no—
359C22×D4—2832no—
360C22×D4—2832no—
361C22×D4—2832no—
362C22×D4C2×D28311yescharacteristic, complemented
363C22×D4C2×D28311yescharacteristic, complemented
364#127—2831no—
365#127—2831no—
366#127—2832no—
367#126—2832no—
368#126—2832no—
369#126—2832no—
370#126—2832no—
371#124—2831no—
372#124—2831no—
373#124—2832no—
374#124—2832no—
375#124—2832no—
376#124—2832no—
377#124—2832no—
378#123—2832no—
379#123—2832no—
380#123—2832no—
381#123—2832no—
382#123—2832no—
383#123—2832no—
384#123—2832no—
385#123C2×D28311yescharacteristic, complemented
386#123C2×D28311yescharacteristic, complemented
387#123C2×D28312yescomplemented
388C22⋊Q8—2832no—
389C22⋊Q8—2832no—
390C22⋊Q8—2832no—
391#121—2832no—
392#121—2832no—
393#121—2832no—
394#121—2832no—
395#121—2832no—
396#121—2832no—
397#121—2832no—
398#121—2832no—
399#121—2832no—
400#121—2832no—
401#121—2832no—
402#121—2832no—
403#121—2832no—
404#121C2×D28312yescomplemented
405#121C2×D28312yescomplemented
406#120—2832no—
407#120—2832no—
408#120—2832no—
409#120—2832no—
410#120—2832no—
411#120—2832no—
412#120—2832no—
413#120—2831no—
414#120—2831no—
415#120—2831no—
416#120—2832no—
417#120—2831no—
418#120—2832no—
419#120—2832no—
420#120—2832no—
421#120—2832no—
422#120—2832no—
423#120C2×D28312yescomplemented
424#120C2×D28311yescharacteristic, complemented
425#120C2×D28311yescharacteristic, complemented
426C4×D4—2832no—
427C4×D4—2832no—
428C4×D4—2832no—
429C4×D4—2832no—
430C4×D4—2832no—
431C4×D4—2832no—
432#117—2831no—
433#117—2832no—
434C2×C22⋊C4—2831no—
435C2×C22⋊C4—2832no—
436C2×C22⋊C4—2832no—
437C2×C22⋊C4—2832no—
438C2×C22⋊C4—2832no—
439C2×C22⋊C4—2832no—
440C2×C22⋊C4C2×D28311yescharacteristic, complemented
441C24—2831no—
442C24—2832no—
443C24—2832no—
444C24—2832no—
445C24—2831no—
446C24—11322no—
447C24—11324no—
448C24C22×D28311yescharacteristic
449C24C22×D28311yescharacteristic
450C24C22×D28311yescharacteristic, complemented
451#41—11322no—
452#41—11324no—
453C2×Q8—2832no—
454C2×Q8—2831no—
455C2×D4—42no—
456C2×D4—42no—
457C2×D4—2832no—
458C2×D4—2832no—
459C2×D4—2832no—
460C2×D4—2832no—
461C2×D4—2832no—
462C2×D4—2832no—
463C2×D4—2832no—
464C2×D4—2832no—
465C2×D4—2832no—
466C2×D4—2832no—
467C2×D4—2832no—
468C2×D4—2832no—
469C2×D4—2832no—
470C2×D4—2832no—
471C2×D4—2832no—
472C2×D4—2832no—
473C2×D4—2831no—
474C2×D4—11324no—
475C2×D4—11324no—
476C2×D4—11324no—
477C2×D4—11324no—
478C2×D4—11324no—
479C2×D4C22×D28312yes—
480C2×D4C22×D28311yescharacteristic
481C2×D4C22×D28311yescharacteristic
482C2×D4C22×D28311yescharacteristic
483C2×D4C22×D28311yescharacteristic
484C2×D4C22×D28312yes—
485C2×D4C22×D28312yes—
486C2×D4C22×D28312yescomplemented
487C22×C4—2832no—
488C22×C4—2832no—
489C22×C4—2832no—
490C22×C4—2832no—
491C22×C4—2832no—
492C22×C4—2832no—
493C22×C4—2832no—
494C22×C4C22×D28311yescharacteristic
495C22×C4C22×D28312yescomplemented
496C22×C4C22×D28311yescharacteristic, complemented
497C4⋊C4—2832no—
498C4⋊C4—2832no—
499C4⋊C4—2832no—
500C4⋊C4—2832no—
501C4⋊C4—2832no—
502C4⋊C4—2832no—
503C4⋊C4—2832no—
504C4⋊C4C22×D28312yescomplemented
505C4⋊C4C22×D28312yescomplemented
506C22⋊C4—2832no—
507C22⋊C4—2831no—
508C22⋊C4—2832no—
509C22⋊C4—2832no—
510C22⋊C4—2832no—
511C22⋊C4—2831no—
512C22⋊C4—2832no—
513C22⋊C4—2832no—
514C22⋊C4—2832no—
515C22⋊C4—2832no—
516C22⋊C4—2832no—
517C22⋊C4—2832no—
518C22⋊C4—2832no—
519C22⋊C4—2832no—
520C22⋊C4—2832no—
521C22⋊C4—2832no—
522C22⋊C4—2832no—
523C22⋊C4—2832no—
524C22⋊C4—2832no—
525C22⋊C4—2832no—
526C22⋊C4—2832no—
527C22⋊C4—2832no—
528C22⋊C4C22×D28312yes—
529C22⋊C4C22×D28312yes—
530C22⋊C4C22×D28312yes—
531C22⋊C4C22×D28312yescomplemented
532C22⋊C4C22×D28311yescharacteristic, complemented
533C22⋊C4C22×D28311yescharacteristic, complemented
534C22⋊C4C22×D28312yescomplemented
535C42—2831no—
536C42—2832no—
537C42—2831no—
538C42—2832no—
539C23—22no—
540C23—22no—
541C23—42no—
542C23—41no—
543C23—42no—
544C23—42no—
545C23—2832no—
546C23—2832no—
547C23—2832no—
548C23—5664no—
549C23—5664no—
550C23—5664no—
551C23—5664no—
552C23—5664no—
553C23—11322no—
554C23—11322no—
555C23—11322no—
556C23—11321no—
557C23—11322no—
558C23—11321no—
559C23—11322no—
560C23—11322no—
561C23—113216no—
562C23C23×D28311yescharacteristic
563C23C23×D28311yescharacteristic
564C23C23×D28312yes—
565C23C23×D28311yescharacteristic
566C23C23×D28311yescharacteristic
567C23C23×D28311yescharacteristic
568Q8—11322no—
569Q8—11321no—
570D4—24no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—42no—
576D4—42no—
577D4—42no—
578D4—5664no—
579D4—5664no—
580D4—5664no—
581D4—5664no—
582D4—5664no—
583D4—11322no—
584D4—11322no—
585D4—11321no—
586D4—11322no—
587D4—11322no—
588D4—11322no—
589D4—11322no—
590D4—11322no—
591D4—11322no—
592D4—11322no—
593D4—11322no—
594D4—11322no—
595C2×C4—22no—
596C2×C4—41no—
597C2×C4—42no—
598C2×C4—2832no—
599C2×C4—2832no—
600C2×C4—2832no—
601C2×C4—2832no—
602C2×C4—2832no—
603C2×C4—5664no—
604C2×C4—11322no—
605C2×C4—11322no—
606C2×C4—11322no—
607C2×C4—11322no—
608C2×C4—11322no—
609C2×C4—11322no—
610C2×C4C23×D28311yescharacteristic
611C2×C4C23×D28312yes—
612C2×C4C23×D28312yes—
613C2×C4C23×D28311yescharacteristic
614C2×C4C23×D28312yes—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—21no—
623C22—22no—
624C22—21no—
625C22—21no—
626C22—21no—
627C22—44no—
628C22—82no—
629C22—82no—
630C22—2834no—
631C22—5662no—
632C22—5662no—
633C22—5662no—
634C22—5662no—
635C22—5662no—
636C22—5662no—
637C22—5662no—
638C22—5662no—
639C22—11328no—
640C22—11324no—
641C22—11328no—
642C22—11324no—
643C22—22644no—
644C22#2258365512yes—
645C22C24×D28311yescharacteristic
646C4—22no—
647C4—22no—
648C4—21no—
649C4—21no—
650C4—22no—
651C4—5662no—
652C4—5662no—
653C4—5662no—
654C4—5662no—
655C4—5662no—
656C2—22no—
657C2—41no—
658C2—41no—
659C2—41no—
660C2—42no—
661C2—41no—
662C2—5664no—
663C2—11322no—
664C2—11322no—
665C2H(5,𝔽2)×D28312yes—
666C2C2×#2258365511yescharacteristic
subgroupG/H
center, FrattiniC22C24×D283
commutator, socle, cosocleC22×C283C25
Fitting#534×C283C2
hypercenter#534D283
hypocenterC283#3532
LCSG ▷ C22×C283 ▷ C283
UCSC1 ◁ C22 ◁ #534

Complements

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

NH ≅ G/Ntype
1. #31827208C2semidirect
2. #31827205C2semidirect
3. #31827203C2semidirect
4. #31827143C2semidirect
5. #31827138C2semidirect
6. #31827112C2semidirect
7. #31827107C2semidirect
8. #31827105C2semidirect
9. D4×C22⋊D283C2semidirect
10. #31827097C2semidirect
11. #31827051C2semidirect
12. #31827050C2semidirect
13. #31827047C2semidirect
14. #31827032C2semidirect
15. #31827031C2semidirect
16. #31827025C2semidirect
17. C2×#22583578C2semidirect
18. #120×D283C2semidirect
19. #534×C283C2semidirect
20. C24×D283C22semidirect
21. C2×#17985392C22semidirect
22. C2×#17985392C22semidirect
23. C22×C22⋊D283C22semidirect
24. C22×C22⋊D283C22semidirect
25. C2×D4×D283C22semidirect
26. C2×D4×D283C22semidirect
27. C2×D4×D283C22semidirect
28. #22583606C22semidirect
29. #22583606C22semidirect
30. #22583606C22semidirect
31. #22583605C22semidirect
32. #22583605C22semidirect
33. #22583603C22semidirect
34. #22583603C22semidirect
35. #22583597C22semidirect
36. #22583597C22semidirect
37. #22583597C22semidirect
38. #22583596C22semidirect
39. #22583596C22semidirect
40. #22583596C22semidirect
41. #22583596C22semidirect
42. #22583595C22semidirect
43. #22583594C22semidirect
44. #22583593C22semidirect
45. #22583592C22semidirect
46. #22583592C22semidirect
47. #22583592C22semidirect
48. #22583591C22semidirect
49. #22583590C22semidirect
50. #22583588C22semidirect
51. #22583587C22semidirect
52. #22583585C22semidirect
53. #22583584C22semidirect
54. #22583584C22semidirect
55. #22583583C22semidirect
56. #22583583C22semidirect
57. #22583583C22semidirect
58. #22583582C22semidirect
59. #22583582C22semidirect
60. #22583582C22semidirect
61. #22583581C22semidirect
62. #22583581C22semidirect
63. #22583581C22semidirect
64. #22583581C22semidirect
65. #22583580C22semidirect
66. #22583580C22semidirect
67. #22583580C22semidirect
68. #22583580C22semidirect
69. #22583579C22semidirect
70. #22583579C22semidirect
71. #22583579C22semidirect
74. #22583578C22semidirect
75. #22583578C22semidirect
76. #22583578C22semidirect
77. #22583578C22semidirect
78. #22583578C22semidirect
79. #22583578C22semidirect
80. #22583578C22semidirect
81. #22583578C22semidirect
82. D4×Dic283C22semidirect
83. #22583572C22semidirect
84. C4×C22⋊D283C22semidirect
85. C4×C22⋊D283C22semidirect
86. (C22⋊D283)⋊C4C22semidirect
87. (C22⋊D283)⋊C4C22semidirect
88. #22583569C22semidirect
89. #22583568C22semidirect
90. C2×C22⋊Dic283C22semidirect
91. C2×(C2×D283)⋊C4C22semidirect
92. C22⋊C4×D283C22semidirect
93. C22⋊C4×D283C22semidirect
94. C22⋊C4×D283C22semidirect
95. C22⋊C4×D283C22semidirect
96. C22×D4×C283C22semidirect
97. C22×D4×C283C22semidirect
98. #123×C283C22semidirect
99. #123×C283C22semidirect
100. #123×C283C22semidirect
101. #121×C283C22semidirect
102. #121×C283C22semidirect
103. #120×C283C22semidirect
104. #120×C283C22semidirect
105. #120×C283C22semidirect
106. C2×C22⋊C4×C283C22semidirect
116. C2×Dic566C23semidirect
117. C2×Dic566C23semidirect
121. C2×D1132C23semidirect
134. C2×C22⋊D283C23semidirect
135. C2×C22⋊D283C23semidirect
136. C2×C22⋊D283C23semidirect
141. C22×Dic283C23semidirect
145. C2×C4×D283C23semidirect
146. C2×C4×D283C23semidirect
147. C4⋊Dic283C23semidirect
148. C4⋊Dic283C23semidirect
149. C4⋊Dic283C23semidirect
150. Dic283⋊C4C23semidirect
151. Dic283⋊C4C23semidirect
152. Dic283⋊C4C23semidirect
153. Dic283⋊C4C23semidirect
160. C22⋊Dic283C23semidirect
161. C22⋊Dic283C23semidirect
162. C22⋊Dic283C23semidirect
163. C22⋊Dic283C23semidirect
174. (C2×D283)⋊C4C23semidirect
175. (C2×D283)⋊C4C23semidirect
176. C4×Dic283C23semidirect
177. C4×Dic283C23semidirect
178. C4×Dic283C23semidirect
179. C4×Dic283C23semidirect
182. C24×C283C23semidirect
192. C2×D4×C283C23semidirect
194. C22×C4×C283C23semidirect
195. C22×C4×C283C23semidirect
196. C4⋊C4×C283C23semidirect
197. C4⋊C4×C283C23semidirect
201. C22⋊C4×C283C23semidirect
202. C22⋊C4×C283C23semidirect
203. C22⋊C4×C283C23semidirect
204. C22⋊C4×C283C23semidirect
333. C283#3532semidirect
351. #534D283semidirect
362. C22×D4C2×D283semidirect
363. C22×D4C2×D283semidirect
385. #123C2×D283semidirect
386. #123C2×D283semidirect
387. #123C2×D283semidirect
404. #121C2×D283semidirect
405. #121C2×D283semidirect
423. #120C2×D283semidirect
424. #120C2×D283semidirect
425. #120C2×D283semidirect
440. C2×C22⋊C4C2×D283semidirect
450. C24C22×D283semidirect
486. C2×D4C22×D283semidirect
495. C22×C4C22×D283semidirect
496. C22×C4C22×D283semidirect
504. C4⋊C4C22×D283semidirect
505. C4⋊C4C22×D283semidirect
531. C22⋊C4C22×D283semidirect
532. C22⋊C4C22×D283semidirect
533. C22⋊C4C22×D283semidirect
534. C22⋊C4C22×D283semidirect

Maximal subgroups

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

subgroupindex
#318272082
#318272052
#318272032
#318271432
#318271382
#318271122
#318271072
#318271052
D4×C22⋊D2832
#318270972
#318270512
#318270502
#318270472
#318270322
#318270312
#318270252
C2×#225835782
#120×D2832
#534×C2832
#3532283