Finite Group Databasebeta

← #35466899

Subgroups — #35466899

Order 21248.

966 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19127991C211yesmaximal, characteristic, complemented
2C22×#14581723C211yesmaximal, characteristic, complemented
3#24911165C211yesmaximal, characteristic, complemented
4#24908996C211yesmaximal, characteristic, complemented
5#24908964C211yesmaximal, characteristic, complemented
6#24908837C211yesmaximal, characteristic, complemented
7#24908796C211yesmaximal, characteristic, complemented
8#24908226C211yesmaximal, characteristic, complemented
9#24908048C211yesmaximal, characteristic, complemented
10#24907892C211yesmaximal, characteristic
11#24907781C211yesmaximal, characteristic
12#24907724C211yesmaximal, characteristic, complemented
13#24907656C211yesmaximal, characteristic, complemented
14#24907643C211yesmaximal, characteristic, complemented
15C83×#2361C211yesmaximal, characteristic
16C23×C83⋊C8C2211yescharacteristic
17C2×#14581792C2211yescharacteristic
18C2×#14581769—21no—
19C22×C4⋊Dic83C2211yescharacteristic
20#19127991—24no—
21C2×#14581723—24no—
22C2×#14581723C2211yescharacteristic
23C2×#14581723C2211yescharacteristic
24C2×#14581723C2211yescharacteristic
25C2×#14581723C2211yescharacteristic
26C2×#14581723C2211yescharacteristic
27C2×#14581723C2211yescharacteristic
28C2×C4⋊(C83⋊C8)C2211yescharacteristic
29C2×C4⋊(C83⋊C8)C2211yescharacteristic
30C2×#14581713C2211yescharacteristic
31C2×#14581713C2211yescharacteristic
32C2×#14581713C2211yescharacteristic
33C2×#14581713C2211yescharacteristic
34C2×C22⋊(C83⋊C8)C2211yescharacteristic
35#19127633—21no—
36#19127622—21no—
37#19127599C2211yescharacteristic
38#19127599C2211yescharacteristic
39#19127576—21no—
40#19127571C2211yescharacteristic
41#19127561C2211yescharacteristic
42#19127463C2211yescharacteristic
43#19127463C2211yescharacteristic
44#19127463C2211yescharacteristic
45#19127463C2211yescharacteristic
46#19127463C2211yescharacteristic
47#19127463C2211yescharacteristic
48#19127456C2211yescharacteristic
49#19127456C2211yescharacteristic
50C2×#121×C83C2211yescharacteristic
51C2×C4×D4×C83—21no—
52C2×C4×D4×C83C2211yescharacteristic
53C22×C4⋊C4×C83C2211yescharacteristic
54#390×C83C2211yescharacteristic
55#389×C83C2211yescharacteristic
56#388×C83—21no—
57#386×C83—21no—
58#385×C83—21no—
59C4×C4⋊C4×C83C2211yescharacteristic
60C4×C22⋊C4×C83C2211yescharacteristic
61C22×Dic166—21no—
62C23×Dic83—21no—
63C22×C83⋊C8—22no—
64C22×C83⋊C8—22no—
65C22×C83⋊C8—22no—
66C22×C83⋊C8C2311yescharacteristic
67C22×C83⋊C8C2311yescharacteristic
68C22×C83⋊C8C2311yescharacteristic
69C22×C83⋊C8C2311yescharacteristic
70#14581792—22no—
71#14581792—41no—
72#14581769—44no—
73C2×C4⋊Dic83—22no—
74C2×C4⋊Dic83—21no—
75C2×C4⋊Dic83—21no—
76C2×C4⋊Dic83—21no—
77C2×C4⋊Dic83—21no—
78C2×C4⋊Dic83—41no—
79C2×C4⋊Dic83C2311yescharacteristic
80C2×C4⋊Dic83C2311yescharacteristic
81C2×C4⋊Dic83C2311yescharacteristic
82C2×C4⋊Dic83C2311yescharacteristic
83C2×Dic83⋊C4—21no—
84C2×Dic83⋊C4—21no—
85C2×C22⋊Dic83—21no—
86#14581723—22no—
87#14581723—22no—
88#14581723—22no—
89#14581723—22no—
90#14581723—41no—
91#14581723D414yescomplemented
92C4⋊(C83⋊C8)—22no—
93C4⋊(C83⋊C8)—22no—
94#14581713—22no—
95#14581713—22no—
96#14581713—22no—
97#14581713—41no—
98C22⋊(C83⋊C8)—22no—
99C83⋊#95—21no—
100C83⋊#95—21no—
101C83⋊#95—21no—
102C22×D4×C83—21no—
103C22×D4×C83C2311yescharacteristic
104C23×C4×C83—21no—
105C23×C4×C83—21no—
106C23×C4×C83C2311yescharacteristic
107#121×C83—22no—
108#121×C83Q814yescomplemented
109C4×D4×C83—22no—
110C4×D4×C83—41no—
111C4×D4×C83—44no—
112C2×C4⋊C4×C83—22no—
113C2×C4⋊C4×C83—21no—
114C2×C4⋊C4×C83—21no—
115C2×C4⋊C4×C83—41no—
116C2×C4⋊C4×C83C2311yescharacteristic
117C2×C4⋊C4×C83C2311yescharacteristic
118C2×C4⋊C4×C83C2311yescharacteristic
119C2×C22⋊C4×C83—21no—
120C2×C22⋊C4×C83—21no—
121C2×C22⋊C4×C83—21no—
122C2×C22⋊C4×C83—21no—
123C2×C22⋊C4×C83D411yescharacteristic
124C2×C22⋊C4×C83D411yescharacteristic
125C2×C42×C83—21no—
126C2×C42×C83C2311yescharacteristic
127C2×C42×C83C2311yescharacteristic
128#95×C83—21no—
129#95×C83—21no—
130#95×C83D411yescharacteristic
131#95×C83D411yescharacteristic
132C2×Dic166—42no—
133C2×Dic166—42no—
134C2×Dic166—81no—
135C22×Dic83—21no—
136C22×Dic83—21no—
137C22×Dic83—21no—
138C22×Dic83—21no—
139C22×Dic83—42no—
140C22×Dic83—42no—
141C22×Dic83—81no—
142C2×C83⋊C8—28no—
143C2×C83⋊C8—21no—
144C2×C83⋊C8—21no—
145C2×C83⋊C8—21no—
146C2×C83⋊C8—21no—
147C2×C83⋊C8—21no—
148C2×C83⋊C8—21no—
149C2×C83⋊C8—21no—
150C2×C83⋊C8—21no—
151C2×C83⋊C8—21no—
152C2×C83⋊C8—21no—
153C2×C83⋊C8C2×D412yes—
154C2×C83⋊C8#4112yes—
155C4⋊Dic83—21no—
156C4⋊Dic83—21no—
157C4⋊Dic83—21no—
158C4⋊Dic83—21no—
159C4⋊Dic83—21no—
160C4⋊Dic83—21no—
161C4⋊Dic83—21no—
162C4⋊Dic83—42no—
163C4⋊Dic83—42no—
164C4⋊Dic83—42no—
165C4⋊Dic83—81no—
166C4⋊Dic83C2×D412yes—
167Dic83⋊C4—42no—
168Dic83⋊C4—42no—
169C22⋊Dic83—42no—
170C24×C83—21no—
171C24×C83C2×D411yescharacteristic
172C2×D4×C83—24no—
173C2×D4×C83—21no—
174C2×D4×C83—21no—
175C2×D4×C83—21no—
176C2×D4×C83—21no—
177C2×D4×C83—21no—
178C2×D4×C83—42no—
179C2×D4×C83—42no—
180C2×D4×C83C2×Q812yes—
181C22×C4×C83—21no—
182C22×C4×C83—21no—
183C22×C4×C83—21no—
184C22×C4×C83—21no—
185C22×C4×C83—21no—
186C22×C4×C83—21no—
187C22×C4×C83—21no—
188C22×C4×C83—42no—
189C22×C4×C83—42no—
190C22×C4×C83—42no—
191C22×C4×C83—42no—
192C22×C4×C83—81no—
193C22×C4×C83—81no—
194C22×C4×C83C2×D411yescharacteristic
195C22×C4×C83C2×D411yescharacteristic
196C22×C4×C83C2×D411yescharacteristic
197C22×C4×C83C2×D411yescharacteristic
198C22×C4×C83C2×D411yescharacteristic
199C22×C4×C83C2×Q812yes—
200C22×C4×C83#4112yes—
201C22×C4×C83C2411yescharacteristic
202C4⋊C4×C83—21no—
203C4⋊C4×C83—21no—
204C4⋊C4×C83—21no—
205C4⋊C4×C83—21no—
206C4⋊C4×C83—42no—
207C4⋊C4×C83—42no—
208C4⋊C4×C83C2×D412yes—
209C4⋊C4×C83C2×Q812yes—
210C22⋊C4×C83—22no—
211C22⋊C4×C83—24no—
212C22⋊C4×C83—42no—
213C22⋊C4×C83—42no—
214C22⋊C4×C83—81no—
215C22⋊C4×C83SD1614yes—
216C42×C83—21no—
217C42×C83—21no—
218C42×C83—21no—
219C42×C83—21no—
220C42×C83—42no—
221C23×C83—21no—
222C23×C83—21no—
223C23×C83—21no—
224C23×C83—21no—
225C23×C83—22no—
226C23×C83—41no—
227C23×C83—41no—
228C23×C83—41no—
229C23×C83—41no—
230C23×C83—41no—
231C23×C83—41no—
232C23×C83C22⋊Q812yes—
233C23×C83C2×SD1612yes—
234C23×C83AGL(1,ℤ/8)12yes—
235C23×C83C22×D411yescharacteristic
236D4×C83—22no—
237D4×C83—22no—
238D4×C83—48no—
239D4×C83—41no—
240D4×C83—41no—
241C2×C4×C83—21no—
242C2×C4×C83—21no—
243C2×C4×C83—21no—
244C2×C4×C83—21no—
245C2×C4×C83—21no—
246C2×C4×C83—21no—
247C2×C4×C83—22no—
248C2×C4×C83—22no—
249C2×C4×C83—22no—
250C2×C4×C83—22no—
251C2×C4×C83—22no—
252C2×C4×C83—21no—
253C2×C4×C83—22no—
254C2×C4×C83—21no—
255C2×C4×C83—21no—
256C2×C4×C83—21no—
257C2×C4×C83—21no—
258C2×C4×C83—21no—
259C2×C4×C83—41no—
260C2×C4×C83—41no—
261C2×C4×C83—41no—
262C2×C4×C83—41no—
263C2×C4×C83—41no—
264C2×C4×C83—41no—
265C2×C4×C83—41no—
266C2×C4×C83—84no—
267C2×C4×C83—84no—
268C2×C4×C83C22⋊Q812yes—
269C2×C4×C83C2×SD1612yes—
270C2×C4×C83C2×SD1612yes—
271C2×C4×C83C22×D411yescharacteristic
272C2×C4×C83C22×Q811yescharacteristic
273C2×C4×C83C2×#4111yescharacteristic
274C2×C4×C83C2×#4111yescharacteristic
275C2×C4×C83H(5,𝔽2)11yescharacteristic
276C2×C4×C832−1+411yescharacteristic
277C2×Dic83—22no—
278C2×Dic83—41no—
279C2×Dic83—41no—
280C2×Dic83—41no—
281C2×Dic83—41no—
282C2×Dic83—41no—
283C2×Dic83—41no—
284C2×Dic83—41no—
285C2×Dic83—41no—
286C2×Dic83—41no—
287C2×Dic83—41no—
288C2×Dic83—41no—
289C2×Dic83—84no—
290Dic166—84no—
291C83⋊C8—22no—
292C83⋊C8—22no—
293C83⋊C8—41no—
294C83⋊C8—41no—
295C22×C83—22no—
296C22×C83—22no—
297C22×C83—22no—
298C22×C83—22no—
299C22×C83—22no—
300C22×C83—22no—
301C22×C83—42no—
302C22×C83—42no—
303C22×C83—42no—
304C22×C83—81no—
305C22×C83—81no—
306C22×C83—81no—
307C22×C83—81no—
308C22×C83#47614yescomplemented
309C22×C83C2×C22⋊Q811yescharacteristic
310C22×C83D4211yescharacteristic
311C22×C83#54711yescharacteristic
312C22×C83C22×SD1611yescharacteristic
313C22×C83C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C83#57711yescharacteristic
315C22×C83#57711yescharacteristic
316C4×C83—22no—
317C4×C83—22no—
318C4×C83—22no—
319C4×C83—41no—
320C4×C83—41no—
321C4×C83—42no—
322C4×C83—42no—
323C4×C83—81no—
324C4×C83#52511yescharacteristic
325C4×C83#53911yescharacteristic
326C4×C83D4×Q811yescharacteristic
327C4×C83#55411yescharacteristic
328Dic83—42no—
329Dic83—81no—
330Dic83—81no—
331Dic83—81no—
332#26338—831nomaximal, Sylow
333C2×C83—24no—
334C2×C83—82no—
335C2×C83#244911yescharacteristic
336C2×C83C2×#47611yescharacteristic
337C2×C83#308411yescharacteristic
338C2×C83#326511yescharacteristic
339C2×C83D4×SD1611yescharacteristic
340C2×C83#333511yescharacteristic
341C2×C83#334511yescharacteristic
342C2×#476—831no—
343C22×#106—831no—
344#2440—831no—
345#2361D8311yescharacteristic
346#2094—831no—
347#2088—831no—
348#2065—831no—
349#2058—831no—
350#1948—831no—
351#1920—831no—
352#1893—831no—
353#1874—831no—
354#1864—831no—
355#1853—831no—
356#1850—831no—
357C83#2633811yescharacteristic, complemented, Sylow
358C23×C8—831no—
359C2×C4⋊Q8—831no—
360C2×C22⋊Q8—1661no—
361C2×#121C2×D8311yescharacteristic
362C2×C4×D4—21no—
363C2×C4×D4C2×D8311yescharacteristic
364C22×C4⋊C4—831no—
365C22×C4⋊C4C2×D8311yescharacteristic
366#476—1664no—
367C2×#106—831no—
368C2×#106—831no—
369C2×#106—831no—
370C2×#106—831no—
371C2×#106—831no—
372C2×#106—831no—
373C2×#106—1664no—
374C2×C4⋊C8—831no—
375C2×C4⋊C8—831no—
376C2×#102—831no—
377C2×#102—831no—
378C2×#102—831no—
379C2×#102—831no—
380C2×C22⋊C8—831no—
381#398—1661no—
382#395—1661no—
383#390C2×D8311yescharacteristic
384#389—831no—
385#389—831no—
386#389C2×D8311yescharacteristic
387#388—21no—
388#386—21no—
389#385—21no—
390#385—1661no—
391#384—831no—
392#380—831no—
393C4×C4⋊C4C2×D8311yescharacteristic
394C4×C22⋊C4C2×D8311yescharacteristic
395#340—831no—
396#340—831no—
397#340—831no—
398#340—831no—
399#340—831no—
400#340—831no—
401#336—831no—
402#336—831no—
403C22×Q8—1661no—
404C22×D4—21no—
405C22×D4C22×D8311yescharacteristic
406C23×C4—21no—
407C23×C4—21no—
408C23×C4—1661no—
409C23×C4C22×D8311yescharacteristic
410C22×C8—831no—
411C22×C8—831no—
412C22×C8—831no—
413C22×C8—831no—
414C22×C8—1662no—
415C22×C8—1662no—
416C22×C8—1662no—
417C4⋊Q8—3321no—
418C4⋊Q8—1662no—
419C22⋊Q8—3324no—
420#121—22no—
421#121Dic16614yescomplemented
422C4×D4—22no—
423C4×D4—41no—
424C4×D4—44no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—41no—
429C2×C4⋊C4—3321no—
430C2×C4⋊C4—831no—
431C2×C4⋊C4—831no—
432C2×C4⋊C4—831no—
433C2×C4⋊C4—831no—
434C2×C4⋊C4—1661no—
435C2×C4⋊C4—1661no—
436C2×C4⋊C4—1661no—
437C2×C4⋊C4—1661no—
438C2×C4⋊C4—1661no—
439C2×C4⋊C4—1662no—
440C2×C4⋊C4—1661no—
441C2×C4⋊C4C22×D8311yescharacteristic
442C2×C4⋊C4C22×D8311yescharacteristic
443C2×C4⋊C4C22×D8311yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—1661no—
449C2×C22⋊C4C22⋊D8311yescharacteristic
450C2×C22⋊C4C22⋊D8311yescharacteristic
451C2×C42—21no—
452C2×C42C22×D8311yescharacteristic
453C2×C42C22×D8311yescharacteristic
454#106—3321no—
455#106—834no—
456#106—1662no—
457#106—1662no—
458#106—1662no—
459#106—1662no—
460C4⋊C8—1662no—
461C4⋊C8—1662no—
462#102—3321no—
463#102—1662no—
464#102—1662no—
465#102—1662no—
466C22⋊C8—1662no—
467#95—21no—
468#95—21no—
469#95—1661no—
470#95—1661no—
471#95—1661no—
472#95C22⋊D8311yescharacteristic
473#95C22⋊D8311yescharacteristic
474C24—21no—
475C24C2×C22⋊D8311yescharacteristic
476C2×Q8—3322no—
477C2×Q8—3322no—
478C2×Q8—6641no—
479C2×D4—24no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4C2×Dic16612yes—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—81no—
500C22×C4—81no—
501C22×C4—3322no—
502C22×C4—3322no—
503C22×C4—6641no—
504C22×C4—1661no—
505C22×C4—1661no—
506C22×C4—1661no—
507C22×C4—1661no—
508C22×C4C2×C22⋊D8311yescharacteristic
509C22×C4C2×C22⋊D8311yescharacteristic
510C22×C4C2×C22⋊D8311yescharacteristic
511C22×C4C2×C22⋊D8311yescharacteristic
512C22×C4C2×C22⋊D8311yescharacteristic
513C22×C4C2×Dic16612yes—
514C22×C4#1305059012yes—
515C22×C4C23×D8311yescharacteristic
516C2×C8—832no—
517C2×C8—832no—
518C2×C8—1661no—
519C2×C8—1661no—
520C2×C8—1661no—
521C2×C8—1661no—
522C2×C8—1661no—
523C2×C8—1661no—
524C2×C8—1668no—
525C2×C8—1661no—
526C2×C8—1661no—
527C2×C8—1661no—
528C2×C8—1661no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—3322no—
536C4⋊C4—3322no—
537C4⋊C4—3322no—
538C4⋊C4—3322no—
539C4⋊C4—3322no—
540C4⋊C4—832no—
541C4⋊C4—6641no—
542C4⋊C4—1661no—
543C4⋊C4—1661no—
544C4⋊C4—1661no—
545C4⋊C4—1661no—
546C4⋊C4—1661no—
547C4⋊C4—1661no—
548C4⋊C4—1661no—
549C4⋊C4D4×D8312yes—
550C4⋊C4C2×Dic16612yes—
551C22⋊C4—22no—
552C22⋊C4—24no—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—81no—
556C22⋊C4—3322no—
557C22⋊C4#1305057814yes—
558C42—21no—
559C42—21no—
560C42—21no—
561C42—21no—
562C42—42no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—22no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23#1458177112yes—
575C23C2×#1305057812yes—
576C23#1458181712yes—
577C23C22×C22⋊D8311yescharacteristic
578Q8—6644no—
579D4—22no—
580D4—22no—
581D4—48no—
582D4—41no—
583D4—41no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—21no—
597C2×C4—22no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—84no—
610C2×C4—84no—
611C2×C4—3321no—
612C2×C4—3321no—
613C2×C4—3321no—
614C2×C4—3321no—
615C2×C4—3321no—
616C2×C4—3321no—
617C2×C4—3321no—
618C2×C4—3321no—
619C2×C4—3321no—
620C2×C4—3321no—
621C2×C4—3321no—
622C2×C4—6644no—
623C2×C4—1662no—
624C2×C4#1458177112yes—
625C2×C4C2×#1305057812yes—
626C2×C4C2×#1305057812yes—
627C2×C4C2×D4×D8311yescharacteristic
628C2×C4C22×Dic16611yescharacteristic
629C2×C4#41×D8311yescharacteristic
630C2×C4C2×#1305059011yescharacteristic
631C2×C4#1458183711yescharacteristic
632C2×C4#1458183911yescharacteristic
633C8—3321no—
634C8—3321no—
635C8—1662no—
636C8—1662no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22#1912799114yescomplemented
651C22C2×#1458177111yescharacteristic
652C22D4×C22⋊D8311yescharacteristic
653C22#1912835011yescharacteristic
654C22C22×#1305057811yescharacteristic
655C22C2×#1458181711yescharacteristic
656C22#1912850911yescharacteristic
657C22#1912851211yescharacteristic
658C4—22no—
659C4—22no—
660C4—22no—
661C4—42no—
662C4—41no—
663C4—41no—
664C4—42no—
665C4—81no—
666C4—3322no—
667C4—6641no—
668C4—6641no—
669C4—6641no—
670C4#1912821011yescharacteristic
671C4#1912829311yescharacteristic
672C4D4×Dic16611yescharacteristic
673C4#1912841011yescharacteristic
674C2—24no—
675C2—82no—
676C2#2491126611yescharacteristic
677C2C2×#1912799111yescharacteristic
678C2#2491732511yescharacteristic
679C2#2491895911yescharacteristic
680C2D4×#1305057811yescharacteristic
681C2#2491982011yescharacteristic
682C2#2491992711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D83
commutator, cosocleC22×C4×C83C24
FrattiniC22×C4C23×D83
FittingC83×#2361C2
socleC23×C83C22×D4
prime radicalC2×#121×C83C22
hypercenter#2361D83
hypocenterC83#26338
LCSG ▷ C22×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2361

Complements

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

NH ≅ G/Ntype
1. C2×#19127991C2semidirect
2. C22×#14581723C2semidirect
3. #24911165C2semidirect
4. #24908996C2semidirect
5. #24908964C2semidirect
6. #24908837C2semidirect
7. #24908796C2semidirect
8. #24908226C2semidirect
9. #24908048C2semidirect
12. #24907724C2semidirect
13. #24907656C2semidirect
14. #24907643C2semidirect
91. #14581723D4semidirect
108. #121×C83Q8semidirect
308. C22×C83#476semidirect
357. C83#26338semidirect
421. #121Dic166semidirect
650. C22#19127991semidirect

Maximal subgroups

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

subgroupindex
C2×#191279912
C22×#145817232
#249111652
#249089962
#249089642
#249088372
#249087962
#249082262
#249080482
#249078922
#249077812
#249077242
#249076562
#249076432
C83×#23612
#2633883