Finite Group Databasebeta

← #49135417

Subgroups — #49135417

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#31827207C211yesmaximal, characteristic, complemented
2#31827206C212yesmaximal, complemented
3#31827205C211yesmaximal, characteristic, complemented
4#31827139C212yesmaximal, complemented
5#31827107C212yesmaximal, complemented
6#31827106C212yesmaximal, complemented
7#31827105C212yesmaximal, complemented
8D4×D1132C212yesmaximal, complemented
9#31827097C211yesmaximal, characteristic, complemented
10#31827055C212yesmaximal, complemented
11#31827054C212yesmaximal, complemented
12#31827048C212yesmaximal, complemented
13#31827034C212yesmaximal, complemented
14#31827033C211yesmaximal, characteristic, complemented
15#31827026C212yesmaximal, complemented
16#31827026C211yesmaximal, characteristic, complemented
17C2×#22583580C212yesmaximal, complemented
18#120×D283C211yesmaximal, characteristic, complemented
19#551×C283C211yesmaximal, characteristic, complemented
20C24×D283C2211yescharacteristic, complemented
21C2×#17985393C2211yescharacteristic, complemented
22C2×#17985392C2212yescomplemented
23C22×D1132C2212yescomplemented
24C22×D1132C2212yescomplemented
25C22×D1132C2211yescharacteristic, complemented
26C22×C22⋊D283C2212yescomplemented
27C2×D4×D283C2211yescharacteristic, complemented
28C2×D4×D283C2212yescomplemented
29C2×D4×D283C2212yescomplemented
30#22583607C2212yescomplemented
31#22583607C2211yescharacteristic, complemented
32#22583606C2211yescharacteristic, complemented
33#22583605C2212yescomplemented
34#22583605C2212yescomplemented
35#22583604C2212yescomplemented
36#22583599C2212yescomplemented
37#22583599C2211yescharacteristic, complemented
38#22583598C2212yescomplemented
39#22583598C2212yescomplemented
40#22583596C2212yescomplemented
41#22583596C2212yescomplemented
42#22583595C2212yescomplemented
43#22583595C2212yescomplemented
44#22583595C2212yescomplemented
45#22583595C2212yescomplemented
46#22583595C2212yescomplemented
47#22583593C2212yescomplemented
48#22583593C2211yescharacteristic, complemented
49#22583592C2212yescomplemented
50#22583588C2212yescomplemented
51#22583587C2212yescomplemented
52#22583585C2212yescomplemented
53#22583585C2212yescomplemented
54#22583585C2212yescomplemented
55#22583585C2212yescomplemented
56#22583585C2212yescomplemented
57#22583585C2212yescomplemented
58#22583585C2212yescomplemented
59#22583584C2212yescomplemented
60#22583584C2212yescomplemented
61#22583583C2212yescomplemented
62#22583583C2212yescomplemented
63#22583583C2212yescomplemented
64#22583583C2212yescomplemented
65#22583583C2212yescomplemented
66#22583582C2212yescomplemented
67#22583580C2212yes—
68#22583580C2211yescharacteristic, complemented
69#22583580C2212yescomplemented
70#22583580C2212yescomplemented
71#22583580C2212yescomplemented
72#22583580C2212yescomplemented
73#22583580C2212yescomplemented
74#22583580C2212yescomplemented
75#22583580C2212yescomplemented
76#22583580C2212yescomplemented
77#22583580C2212yescomplemented
78#22583580C2212yescomplemented
79#22583580C2212yescomplemented
80#22583580C2212yescomplemented
81#22583580C2211yescharacteristic, complemented
82#22583579C2211yescharacteristic, complemented
83#22583578C2211yescharacteristic, complemented
84#22583578C2212yescomplemented
85#22583578C2211yescharacteristic, complemented
86C4×D1132C2212yescomplemented
87#22583572C2212yescomplemented
88C4×C22⋊D283C2212yescomplemented
89(C22⋊D283)⋊C4C2212yescomplemented
90(C22⋊D283)⋊C4C2212yescomplemented
91#22583567C2211yescharacteristic, complemented
92C2×(C2×D283)⋊C4C2212yescomplemented
93C2×(C2×D283)⋊C4C2212yescomplemented
94C22⋊C4×D283C2211yescharacteristic, complemented
95C22⋊C4×D283C2212yescomplemented
96C22⋊C4×D283C2212yescomplemented
97C22⋊C4×D283C2211yescharacteristic, complemented
98#126×C283C2212yescomplemented
99#124×C283C2211yescharacteristic, complemented
100#123×C283C2211yescharacteristic, complemented
101#123×C283C2212yescomplemented
102C22⋊Q8×C283C2212yescomplemented
103#120×C283C2211yescharacteristic
104C4×D4×C283C2212yescomplemented
105#117×C283C2212yescomplemented
106C2×C22⋊C4×C283C2212yescomplemented
107C23×D283—44no—
108C23×D283—42no—
109C23×D283C2312yes—
110C23×D283C2311yescharacteristic
111C23×D283C2311yescharacteristic
112C23×D283C2312yes—
113C23×D283C2312yes—
114C23×D283C2311yescharacteristic
115C23×D283C2311yescharacteristic, complemented
116#17985393—42no—
117#17985392—44no—
118C2×Dic566C2312yescomplemented
119C2×D1132—44no—
120C2×D1132—44no—
121C2×D1132—42no—
122C2×D1132C2312yes—
123C2×D1132C2312yes—
124C2×D1132C2312yes—
125C2×D1132C2312yes—
126C2×D1132C2312yes—
127C2×D1132C2312yes—
128C2×D1132C2312yes—
129C2×D1132C2312yes—
130C2×D1132C2312yes—
131C2×D1132C2311yescharacteristic
132C2×D1132C2312yescomplemented
133C2×D1132C2311yescharacteristic, complemented
134C2×D1132C2312yescomplemented
135C2×D1132C2312yescomplemented
136C2×C22⋊D283—44no—
137C2×C22⋊D283C2312yes—
138C2×C22⋊D283C2312yes—
139C2×C22⋊D283C2312yes—
140C2×C22⋊D283C2311yescharacteristic
141C2×C22⋊D283C2312yes—
142C2×C22⋊D283C2312yes—
143C2×C22⋊D283C2311yescharacteristic
144C2×C22⋊D283C2312yes—
145C2×C22⋊D283C2312yescomplemented
146D4×D283—44no—
147D4×D283—44no—
148D4×D283—42no—
149C22×Dic283C2312yes—
150C2×C4×D283C2311yescharacteristic
151C2×C4×D283C2312yes—
152C2×C4×D283C2312yescomplemented
153C2×C4×D283C2312yescomplemented
154C2×C4×D283C2312yescomplemented
155C2×C4×D283C2312yescomplemented
156C4⋊Dic283C2312yescomplemented
157Dic283⋊C4C2312yescomplemented
158Dic283⋊C4C2312yescomplemented
159Dic283⋊C4C2312yescomplemented
160Dic283⋊C4C2312yescomplemented
161C22⋊Dic283C2312yes—
162C22⋊Dic283C2311yescharacteristic
163C22⋊Dic283C2311yescharacteristic, complemented
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)⋊C4C2312yes—
175(C2×D283)⋊C4C2312yescomplemented
176(C2×D283)⋊C4C2312yescomplemented
177(C2×D283)⋊C4C2312yescomplemented
178(C2×D283)⋊C4C2312yescomplemented
179(C2×D283)⋊C4C2312yescomplemented
180(C2×D283)⋊C4C2312yescomplemented
181(C2×D283)⋊C4C2312yescomplemented
182C4×Dic283C2311yescharacteristic, complemented
183C4×Dic283C2312yescomplemented
184C24×C283C2311yescharacteristic
185C2×Q8×C283C2311yescharacteristic, complemented
186C2×D4×C283C2312yes—
187C2×D4×C283C2311yescharacteristic
188C22×C4×C283C2312yes—
189C22×C4×C283C2312yes—
190C22×C4×C283C2311yescharacteristic, complemented
191C4⋊C4×C283C2312yescomplemented
192C4⋊C4×C283C2312yescomplemented
193C4⋊C4×C283C2312yescomplemented
194C4⋊C4×C283C2312yescomplemented
195C22⋊C4×C283C2312yes—
196C22⋊C4×C283C2312yes—
197C22⋊C4×C283C2311yescharacteristic
198C22⋊C4×C283C2312yes—
199C22⋊C4×C283C2312yes—
200C22⋊C4×C283C2312yes—
201C22⋊C4×C283C2311yescharacteristic, complemented
202C22⋊C4×C283C2312yescomplemented
203C42×C283C2311yescharacteristic, complemented
204C42×C283C2312yescomplemented
205C22×D283—24no—
206C22×D283—24no—
207C22×D283—24no—
208C22×D283—22no—
209C22×D283—24no—
210C22×D283—22no—
211C22×D283—42no—
212C22×D283—42no—
213C22×D283—42no—
214C22×D283—42no—
215C22×D283—42no—
216C22×D283—41no—
217C22×D283—42no—
218C22×D283—42no—
219C22×D283—42no—
220C22×D283—42no—
221C22×D283—41no—
222C22×D283—416no—
223C22×D283C2412yes—
224C22×D283C2411yescharacteristic
225C22×D283C2412yes—
226C22×D283C2411yescharacteristic
227C22×D283C2412yes—
228C22×D283C2411yescharacteristic
229Dic566—42no—
230D1132—24no—
231D1132—24no—
232D1132—42no—
233D1132—41no—
234D1132—42no—
235D1132—42no—
236D1132—42no—
237D1132—42no—
238D1132—42no—
239D1132—42no—
240D1132—42no—
241D1132—42no—
242D1132—42no—
243D1132—41no—
244C22⋊D283—24no—
245C22⋊D283—24no—
246C22⋊D283—24no—
247C22⋊D283—41no—
248C22⋊D283—41no—
249C22⋊D283—42no—
250C22⋊D283—42no—
251C22⋊D283—42no—
252C22⋊D283—42no—
253C2×Dic283—42no—
254C2×Dic283C2412yes—
255C2×Dic283C2412yes—
256C2×Dic283C2412yes—
257C2×Dic283C2411yescharacteristic
258C4×D283—22no—
259C4×D283—42no—
260C4×D283—42no—
261C4×D283—42no—
262C4×D283—42no—
263C4×D283—42no—
264C23×C283—24no—
265C23×C283—41no—
266C23×C283C2411yescharacteristic
267C23×C283C2411yescharacteristic
268C23×C283C2412yes—
269Q8×C283—41no—
270D4×C283—24no—
271D4×C283—41no—
272C2×C4×C283—24no—
273C2×C4×C283—42no—
274C2×C4×C283—41no—
275C2×C4×C283C2412yes—
276C2×C4×C283C2412yes—
277C2×C4×C283C2412yes—
278C2×C4×C283C2411yescharacteristic
279C2×C4×C283C2412yes—
280C2×C4×C283C2412yes—
281C22×C283—22no—
282C22×C283—22no—
283C22×C283—21no—
284C22×C283—22no—
285C22×C283—21no—
286C22×C283—22no—
287C22×C283—44no—
288C22×C283H(5,𝔽2)14yes—
289C22×C283C2511yescharacteristic
290C2×D283—22no—
291C2×D283—22no—
292C2×D283—22no—
293C2×D283—22no—
294C2×D283—22no—
295C2×D283—22no—
296C2×D283—21no—
297C2×D283—22no—
298C2×D283—21no—
299C2×D283—22no—
300C2×D283—22no—
301C2×D283—22no—
302C2×D283—22no—
303C2×D283—22no—
304C2×D283—48no—
305C2×D283—44no—
306C2×D283—48no—
307C2×D283—44no—
308C2×D283—82no—
309C2×D283—84no—
310C2×D283—82no—
311C2×D283H(5,𝔽2)12yes—
312C4×C283—22no—
313C4×C283—22no—
314C4×C283—22no—
315C4×C283—22no—
316C4×C283—22no—
317C4×C283—21no—
318Dic283—21no—
319Dic283—22no—
320Dic283—22no—
321Dic283—22no—
322C2×C283—24no—
323C2×C283—41no—
324C2×C283—41no—
325C2×C283C2×H(5,𝔽2)11yescharacteristic
326C2×C283C2×H(5,𝔽2)12yes—
327D283—22no—
328D283—42no—
329D283—41no—
330D283—42no—
331D283—41no—
332D283—42no—
333C283#353211yescharacteristic, complemented, Sylow
334#3532—2831nomaximal, Sylow
335H(3,𝔽4)—2831no—
336#560—2832no—
337#560—2831no—
338#551—2832no—
339#551D28311yescharacteristic, complemented
340#546—2832no—
341#546—2832no—
342#546—2832no—
343D42—2831no—
344D42—2832no—
345#538—2832no—
346#538—2832no—
347#538—2832no—
348#535—2831no—
349#535—2832no—
350#534—2832no—
351#534—2831no—
352C2×#120—2831no—
353C2×#120—2832no—
354C25—2831no—
355C2×#41—2831no—
356C2×#41—2832no—
357C22×D4—2832no—
358C22×D4—2831no—
359C22×D4—2832no—
360C22×D4—2832no—
361C22×D4—2832no—
362C22×D4—2832no—
363C22×D4—2831no—
364#127—2831no—
365#127—2831no—
366#127—2832no—
367#126—2832no—
368#126—2832no—
369#126—2832no—
370#126C2×D28312yescomplemented
371#124—2831no—
372#124—2832no—
373#124—2832no—
374#124—2832no—
375#124—2832no—
376#124—2832no—
377#124C2×D28311yescharacteristic, complemented
378#123—2832no—
379#123—2831no—
380#123—2832no—
381#123—2832no—
382#123—2832no—
383#123—2832no—
384#123—2832no—
385#123—2832no—
386#123C2×D28311yescharacteristic, complemented
387#123C2×D28312yescomplemented
388C22⋊Q8—2832no—
389C22⋊Q8—2832no—
390C22⋊Q8C2×D28312yescomplemented
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#121—2832no—
405#121—2832no—
406#120—2831no—
407#120—2832no—
408#120—2831no—
409#120—2831no—
410#120—2832no—
411#120—2832no—
412#120—2832no—
413#120—2832no—
414#120—2832no—
415#120—2832no—
416#120—2832no—
417#120—2832no—
418#120—2831no—
419#120—2832no—
420#120—2832no—
421#120—2832no—
422#120—2831no—
423#120—2832no—
424#120—2832no—
425#120C2×D28311yescharacteristic
426C4×D4—2832no—
427C4×D4—2832no—
428C4×D4—2832no—
429C4×D4—2832no—
430C4×D4—2832no—
431C4×D4C2×D28312yescomplemented
432#117—2831no—
433#117C2×D28312yescomplemented
434C2×C22⋊C4—2832no—
435C2×C22⋊C4—2832no—
436C2×C22⋊C4—2831no—
437C2×C22⋊C4—2832no—
438C2×C22⋊C4—2832no—
439C2×C22⋊C4—2831no—
440C2×C22⋊C4C2×D28312yescomplemented
441C24—2832no—
442C24—2831no—
443C24—2832no—
444C24—2831no—
445C24—2832no—
446C24—2831no—
447C24—2831no—
448C24—11324no—
449C24—11322no—
450C24C22×D28311yescharacteristic
451#41—11324no—
452#41—11322no—
453C2×Q8—2832no—
454C2×Q8C22×D28311yescharacteristic, complemented
455C2×D4—2832no—
456C2×D4—2832no—
457C2×D4—2832no—
458C2×D4—2831no—
459C2×D4—2832no—
460C2×D4—2832no—
461C2×D4—2831no—
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—2831no—
473C2×D4—2832no—
474C2×D4—2831no—
475C2×D4—2832no—
476C2×D4—2832no—
477C2×D4—2832no—
478C2×D4—11324no—
479C2×D4—11324no—
480C2×D4—11322no—
481C2×D4—11322no—
482C2×D4—11324no—
483C2×D4—11324no—
484C2×D4—11324no—
485C2×D4C22×D28312yes—
486C2×D4C22×D28311yescharacteristic
487C22×C4—2832no—
488C22×C4—2831no—
489C22×C4—2832no—
490C22×C4—2832no—
491C22×C4—2832no—
492C22×C4—2832no—
493C22×C4—2832no—
494C22×C4C22×D28312yes—
495C22×C4C22×D28312yes—
496C22×C4C22×D28311yescharacteristic, complemented
497C4⋊C4—2832no—
498C4⋊C4—2832no—
499C4⋊C4—2832no—
500C4⋊C4—2832no—
501C4⋊C4—2832no—
502C4⋊C4C22×D28312yescomplemented
503C4⋊C4C22×D28312yescomplemented
504C4⋊C4C22×D28312yescomplemented
505C4⋊C4C22×D28312yescomplemented
506C22⋊C4—2832no—
507C22⋊C4—2831no—
508C22⋊C4—2831no—
509C22⋊C4—2832no—
510C22⋊C4—2832no—
511C22⋊C4—2832no—
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⋊C4C22×D28312yes—
528C22⋊C4C22×D28312yes—
529C22⋊C4C22×D28311yescharacteristic
530C22⋊C4C22×D28312yes—
531C22⋊C4C22×D28312yes—
532C22⋊C4C22×D28312yes—
533C22⋊C4C22×D28311yescharacteristic, complemented
534C22⋊C4C22×D28312yescomplemented
535C42—2831no—
536C42—2832no—
537C42C22×D28311yescharacteristic, complemented
538C42C22×D28312yescomplemented
539C23—24no—
540C23—41no—
541C23—2831no—
542C23—2832no—
543C23—2831no—
544C23—2832no—
545C23—2832no—
546C23—2831no—
547C23—5664no—
548C23—5662no—
549C23—5662no—
550C23—5664no—
551C23—5664no—
552C23—5664no—
553C23—11322no—
554C23—11322no—
555C23—11322no—
556C23—11321no—
557C23—11322no—
558C23—11322no—
559C23—11322no—
560C23—11322no—
561C23—11321no—
562C23—11322no—
563C23—11322no—
564C23—113216no—
565C23C23×D28311yescharacteristic
566C23C23×D28311yescharacteristic
567C23C23×D28312yes—
568Q8—41no—
569Q8—11322no—
570D4—24no—
571D4—41no—
572D4—5664no—
573D4—5664no—
574D4—5664no—
575D4—5664no—
576D4—5664no—
577D4—11322no—
578D4—11322no—
579D4—11322no—
580D4—11321no—
581D4—11322no—
582D4—11322no—
583D4—11322no—
584D4—11322no—
585D4—11322no—
586D4—11322no—
587D4—11321no—
588D4—11322no—
589D4—11321no—
590D4—11321no—
591D4—11322no—
592D4—11322no—
593D4—11322no—
594D4—11322no—
595C2×C4—24no—
596C2×C4—42no—
597C2×C4—41no—
598C2×C4—2832no—
599C2×C4—2832no—
600C2×C4—2832no—
601C2×C4—2831no—
602C2×C4—5662no—
603C2×C4—11322no—
604C2×C4—11322no—
605C2×C4—11322no—
606C2×C4—11322no—
607C2×C4—11322no—
608C2×C4—11322no—
609C2×C4C23×D28311yescharacteristic
610C2×C4C23×D28312yes—
611C2×C4C23×D28312yes—
612C2×C4C23×D28312yes—
613C2×C4C23×D28312yes—
614C2×C4C23×D28312yes—
615C22—22no—
616C22—22no—
617C22—21no—
618C22—21no—
619C22—22no—
620C22—22no—
621C22—44no—
622C22—2832no—
623C22—5662no—
624C22—5662no—
625C22—5662no—
626C22—5661no—
627C22—5662no—
628C22—5661no—
629C22—5662no—
630C22—5662no—
631C22—5662no—
632C22—5662no—
633C22—5662no—
634C22—5662no—
635C22—5662no—
636C22—5662no—
637C22—11328no—
638C22—11328no—
639C22—11324no—
640C22—11324no—
641C22—22644no—
642C22—22642no—
643C22—22642no—
644C22#2258365614yes—
645C22C24×D28311yescharacteristic
646C4—22no—
647C4—22no—
648C4—21no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—5661no—
653C4—5662no—
654C4—5662no—
655C4—5662no—
656C2—24no—
657C2—41no—
658C2—41no—
659C2—5662no—
660C2—11322no—
661C2—11321no—
662C2—11322no—
663C2—11322no—
664C2—11321no—
665C2H(5,𝔽2)×D28311yescharacteristic
666C2C2×#2258365612yes—
subgroupG/H
center, FrattiniC22C24×D283
commutator, socle, cosocleC22×C283C25
Fitting#551×C283C2
hypercenter#551D283
hypocenterC283#3532
LCSG ▷ C22×C283 ▷ C283
UCSC1 ◁ C22 ◁ #551

Complements

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

NH ≅ G/Ntype
1. #31827207C2semidirect
2. #31827206C2semidirect
3. #31827205C2semidirect
4. #31827139C2semidirect
5. #31827107C2semidirect
6. #31827106C2semidirect
7. #31827105C2semidirect
8. D4×D1132C2semidirect
9. #31827097C2semidirect
10. #31827055C2semidirect
11. #31827054C2semidirect
12. #31827048C2semidirect
13. #31827034C2semidirect
14. #31827033C2semidirect
15. #31827026C2semidirect
16. #31827026C2semidirect
17. C2×#22583580C2semidirect
18. #120×D283C2semidirect
19. #551×C283C2semidirect
20. C24×D283C22semidirect
21. C2×#17985393C22semidirect
22. C2×#17985392C22semidirect
23. C22×D1132C22semidirect
24. C22×D1132C22semidirect
25. C22×D1132C22semidirect
26. C22×C22⋊D283C22semidirect
27. C2×D4×D283C22semidirect
28. C2×D4×D283C22semidirect
29. C2×D4×D283C22semidirect
30. #22583607C22semidirect
31. #22583607C22semidirect
32. #22583606C22semidirect
33. #22583605C22semidirect
34. #22583605C22semidirect
35. #22583604C22semidirect
36. #22583599C22semidirect
37. #22583599C22semidirect
38. #22583598C22semidirect
39. #22583598C22semidirect
40. #22583596C22semidirect
41. #22583596C22semidirect
42. #22583595C22semidirect
43. #22583595C22semidirect
44. #22583595C22semidirect
45. #22583595C22semidirect
46. #22583595C22semidirect
47. #22583593C22semidirect
48. #22583593C22semidirect
49. #22583592C22semidirect
50. #22583588C22semidirect
51. #22583587C22semidirect
52. #22583585C22semidirect
53. #22583585C22semidirect
54. #22583585C22semidirect
55. #22583585C22semidirect
56. #22583585C22semidirect
57. #22583585C22semidirect
58. #22583585C22semidirect
59. #22583584C22semidirect
60. #22583584C22semidirect
61. #22583583C22semidirect
62. #22583583C22semidirect
63. #22583583C22semidirect
64. #22583583C22semidirect
65. #22583583C22semidirect
66. #22583582C22semidirect
68. #22583580C22semidirect
69. #22583580C22semidirect
70. #22583580C22semidirect
71. #22583580C22semidirect
72. #22583580C22semidirect
73. #22583580C22semidirect
74. #22583580C22semidirect
75. #22583580C22semidirect
76. #22583580C22semidirect
77. #22583580C22semidirect
78. #22583580C22semidirect
79. #22583580C22semidirect
80. #22583580C22semidirect
81. #22583580C22semidirect
82. #22583579C22semidirect
83. #22583578C22semidirect
84. #22583578C22semidirect
85. #22583578C22semidirect
86. C4×D1132C22semidirect
87. #22583572C22semidirect
88. C4×C22⋊D283C22semidirect
89. (C22⋊D283)⋊C4C22semidirect
90. (C22⋊D283)⋊C4C22semidirect
91. #22583567C22semidirect
92. C2×(C2×D283)⋊C4C22semidirect
93. C2×(C2×D283)⋊C4C22semidirect
94. C22⋊C4×D283C22semidirect
95. C22⋊C4×D283C22semidirect
96. C22⋊C4×D283C22semidirect
97. C22⋊C4×D283C22semidirect
98. #126×C283C22semidirect
99. #124×C283C22semidirect
100. #123×C283C22semidirect
101. #123×C283C22semidirect
102. C22⋊Q8×C283C22semidirect
104. C4×D4×C283C22semidirect
105. #117×C283C22semidirect
106. C2×C22⋊C4×C283C22semidirect
115. C23×D283C23semidirect
118. C2×Dic566C23semidirect
132. C2×D1132C23semidirect
133. C2×D1132C23semidirect
134. C2×D1132C23semidirect
135. C2×D1132C23semidirect
145. C2×C22⋊D283C23semidirect
152. C2×C4×D283C23semidirect
153. C2×C4×D283C23semidirect
154. C2×C4×D283C23semidirect
155. C2×C4×D283C23semidirect
156. C4⋊Dic283C23semidirect
157. Dic283⋊C4C23semidirect
158. Dic283⋊C4C23semidirect
159. Dic283⋊C4C23semidirect
160. Dic283⋊C4C23semidirect
163. C22⋊Dic283C23semidirect
175. (C2×D283)⋊C4C23semidirect
176. (C2×D283)⋊C4C23semidirect
177. (C2×D283)⋊C4C23semidirect
178. (C2×D283)⋊C4C23semidirect
179. (C2×D283)⋊C4C23semidirect
180. (C2×D283)⋊C4C23semidirect
181. (C2×D283)⋊C4C23semidirect
182. C4×Dic283C23semidirect
183. C4×Dic283C23semidirect
185. C2×Q8×C283C23semidirect
190. C22×C4×C283C23semidirect
191. C4⋊C4×C283C23semidirect
192. C4⋊C4×C283C23semidirect
193. C4⋊C4×C283C23semidirect
194. C4⋊C4×C283C23semidirect
201. C22⋊C4×C283C23semidirect
202. C22⋊C4×C283C23semidirect
203. C42×C283C23semidirect
204. C42×C283C23semidirect
333. C283#3532semidirect
339. #551D283semidirect
370. #126C2×D283semidirect
377. #124C2×D283semidirect
386. #123C2×D283semidirect
387. #123C2×D283semidirect
390. C22⋊Q8C2×D283semidirect
431. C4×D4C2×D283semidirect
433. #117C2×D283semidirect
440. C2×C22⋊C4C2×D283semidirect
454. C2×Q8C22×D283semidirect
496. C22×C4C22×D283semidirect
502. C4⋊C4C22×D283semidirect
503. C4⋊C4C22×D283semidirect
504. C4⋊C4C22×D283semidirect
505. C4⋊C4C22×D283semidirect
533. C22⋊C4C22×D283semidirect
534. C22⋊C4C22×D283semidirect
537. C42C22×D283semidirect
538. C42C22×D283semidirect

Maximal subgroups

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

subgroupindex
#318272072
#318272062
#318272052
#318271392
#318271072
#318271062
#318271052
D4×D11322
#318270972
#318270552
#318270542
#318270482
#318270342
#318270332
#318270262
C2×#225835802
#120×D2832
#551×C2832
#3532283