Finite Group Databasebeta

← C83×#61708 #35289532

Subgroups — C83×#61708 #35289532

Order 21248.

1806 conjugacy classes of subgroups.

The subgroup lattice has 622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3501C211yesmaximal, characteristic, complemented
2C2×#553×C83C211yesmaximal, characteristic
3C83×#3346C218yesmaximal, complemented
4C83×#3320C218yesmaximal, complemented
5C83×#3236C212yesmaximal, complemented
6C83×#3193C212yesmaximal, complemented
7C83×#3187C212yesmaximal, complemented
8C83×#3110C212yesmaximal, complemented
9C83×#3095C212yesmaximal, complemented
10C2×#484×C83C212yesmaximal, complemented
11C83×#2973C211yesmaximal, characteristic, complemented
12#554×C83—24no—
13#554×C83C2214yescomplemented
14#553×C83—24no—
15#553×C83C2218yes—
16D4×Q8×C83C2214yescomplemented
17#544×C83—21no—
18#543×C83—21no—
19#543×C83—21no—
20#533×C83C2212yes—
21C2×#126×C83—21no—
22C2×#125×C83C2211yescharacteristic
23C2×#123×C83—21no—
24C2×C22⋊Q8×C83C2212yes—
25C2×C22⋊Q8×C83C2212yes—
26C2×#121×C83—21no—
27C2×#121×C83C2211yescharacteristic
28C2×#121×C83C2211yescharacteristic
29#518×C83—21no—
30C2×C4×D4×C83—21no—
31C2×C4×D4×C83C2211yescharacteristic
32C2×C4×D4×C83C2211yescharacteristic
33C2×#117×C83C2211yescharacteristic
34C22×C4⋊C4×C83C2211yescharacteristic
35#501×C83C2214yescomplemented
36#491×C83C2214yescomplemented
37#485×C83C2218yescomplemented
38#484×C83C2214yes—
39#484×C83C2214yes—
40#484×C83C2218yescomplemented
41#483×C83C2214yes—
42#481×C83C2214yescomplemented
43#480×C83C2214yescomplemented
44#479×C83C2218yescomplemented
45#474×C83C2214yescomplemented
46#468×C83C2218yescomplemented
47#465×C83C2218yescomplemented
48#461×C83C2214yescomplemented
49#450×C83C2214yes—
50#448×C83C2214yescomplemented
51#448×C83C2214yescomplemented
52#440×C83C2218yescomplemented
53#435×C83C2218yescomplemented
54#432×C83C2212yes—
55#428×C83C2214yescomplemented
56C2×#107×C83C2214yescomplemented
57#419×C83C2214yescomplemented
58C2×#103×C83C2214yescomplemented
59#407×C83C2212yes—
60C2×C22⋊C8×C83C2212yes—
61C22×Q8×C83C2312yes—
62C22×Q8×C83C2312yes—
63C22×D4×C83—21no—
64C22×D4×C83—21no—
65C22×D4×C83D411yescharacteristic
66C22×D4×C83C2311yescharacteristic
67C23×C4×C83—21no—
68C23×C4×C83—21no—
69C23×C4×C83C2311yescharacteristic
70C23×C4×C83C2311yescharacteristic
71C2×SD16×C83C2318yes—
72C2×M16×C83C2314yes—
73C22×C8×C83C2314yes—
74C4⋊Q8×C83—24no—
75C4⋊Q8×C83C2312yes—
76C4⋊Q8×C83C2312yes—
77#126×C83—28no—
78#125×C83—24no—
79#125×C83—22no—
80#125×C83—22no—
81#125×C83C2314yes—
82#123×C83—28no—
83C22⋊Q8×C83—22no—
84C22⋊Q8×C83—22no—
85C22⋊Q8×C83—22no—
86C22⋊Q8×C83—22no—
87C22⋊Q8×C83—22no—
88C22⋊Q8×C83—24no—
89C22⋊Q8×C83—24no—
90C22⋊Q8×C83—24no—
91C22⋊Q8×C83—24no—
92C22⋊Q8×C83C2314yes—
93C22⋊Q8×C83C2314yes—
94C22⋊Q8×C83C2314yes—
95#121×C83—28no—
96#121×C83—22no—
97#121×C83—22no—
98#121×C83C2314yes—
99#121×C83C2314yes—
100C4×Q8×C83—22no—
101C4×Q8×C83C2314yes—
102C4×D4×C83—24no—
103C4×D4×C83—24no—
104C4×D4×C83—28no—
105C4×D4×C83—22no—
106C4×D4×C83D414yes—
107C4×D4×C83C2314yes—
108C4×D4×C83C2314yes—
109#117×C83—22no—
110#117×C83—22no—
111#117×C83C2314yes—
112C2×C4⋊C4×C83—21no—
113C2×C4⋊C4×C83—22no—
114C2×C4⋊C4×C83—21no—
115C2×C4⋊C4×C83—21no—
116C2×C4⋊C4×C83—22no—
117C2×C4⋊C4×C83—22no—
118C2×C4⋊C4×C83D411yescharacteristic
119C2×C4⋊C4×C83C2312yes—
120C2×C4⋊C4×C83C2312yes—
121C2×C4⋊C4×C83C2311yescharacteristic
122C2×C4⋊C4×C83C2311yescharacteristic
123C2×C4⋊C4×C83C2311yescharacteristic
124C2×C4⋊C4×C83C2314yes—
125C2×C22⋊C4×C83—21no—
126C2×C22⋊C4×C83—22no—
127C2×C22⋊C4×C83—22no—
128C2×C22⋊C4×C83—21no—
129C2×C22⋊C4×C83—21no—
130C2×C22⋊C4×C83—21no—
131C2×C22⋊C4×C83D411yescharacteristic
132C2×C22⋊C4×C83D411yescharacteristic
133C2×C42×C83—21no—
134C2×C42×C83C2311yescharacteristic
135#107×C83C2318yes—
136#107×C83C2318yes—
137#106×C83C2318yes—
138C4⋊C8×C83C2314yes—
139#103×C83C2318yes—
140#103×C83C2318yes—
141#103×C83C2318yes—
142#102×C83C2318yes—
143C22⋊C8×C83C2314yes—
144C22⋊C8×C83C2314yes—
145C22⋊C8×C83C2314yes—
146#97×C83C2314yes—
147C24×C83—21no—
148C24×C83C2×D411yescharacteristic
149C24×C83C2×D411yescharacteristic
150C2×Q8×C83—22no—
151C2×Q8×C83—22no—
152C2×Q8×C83—22no—
153C2×Q8×C83—44no—
154C2×Q8×C83—44no—
155C2×Q8×C83C2414yes—
156C2×D4×C83—24no—
157C2×D4×C83—24no—
158C2×D4×C83—24no—
159C2×D4×C83—21no—
160C2×D4×C83—42no—
161C2×D4×C83—44no—
162C2×D4×C83—82no—
163C2×D4×C83C2×D414yes—
164C2×D4×C83C2412yes—
165C22×C4×C83—21no—
166C22×C4×C83—21no—
167C22×C4×C83—21no—
168C22×C4×C83—22no—
169C22×C4×C83—22no—
170C22×C4×C83—22no—
171C22×C4×C83—22no—
172C22×C4×C83—24no—
173C22×C4×C83—24no—
174C22×C4×C83—42no—
175C22×C4×C83—42no—
176C22×C4×C83—82no—
177C22×C4×C83—82no—
178C22×C4×C83C2×D411yescharacteristic
179C22×C4×C83C2×D411yescharacteristic
180C22×C4×C83C2×D411yescharacteristic
181C22×C4×C83C2×D411yescharacteristic
182C22×C4×C83C2×D412yes—
183C22×C4×C83C2×D412yes—
184C22×C4×C83C2411yescharacteristic
185C22×C4×C83C2412yes—
186C22×C4×C83C2412yes—
187SD16×C83—48no—
188M16×C83—44no—
189C2×C8×C83—44no—
190C2×C8×C83C2418yes—
191C4⋊C4×C83—21no—
192C4⋊C4×C83—21no—
193C4⋊C4×C83—24no—
194C4⋊C4×C83—24no—
195C4⋊C4×C83—24no—
196C4⋊C4×C83—24no—
197C4⋊C4×C83—24no—
198C4⋊C4×C83—24no—
199C4⋊C4×C83—21no—
200C4⋊C4×C83—22no—
201C4⋊C4×C83—22no—
202C4⋊C4×C83—22no—
203C4⋊C4×C83—22no—
204C4⋊C4×C83—22no—
205C4⋊C4×C83—24no—
206C4⋊C4×C83C2×D414yes—
207C4⋊C4×C83C2414yes—
208C4⋊C4×C83C2412yes—
209C4⋊C4×C83C2412yes—
210C4⋊C4×C83C2412yes—
211C22⋊C4×C83—24no—
212C22⋊C4×C83—24no—
213C22⋊C4×C83—24no—
214C22⋊C4×C83—24no—
215C22⋊C4×C83—24no—
216C22⋊C4×C83—24no—
217C22⋊C4×C83—24no—
218C22⋊C4×C83C2×D414yes—
219C22⋊C4×C83C2×D414yes—
220C42×C83—24no—
221C42×C83—24no—
222C42×C83C2×D412yes—
223C42×C83C2412yes—
224C23×C83—22no—
225C23×C83—22no—
226C23×C83—41no—
227C23×C83—41no—
228C23×C83—41no—
229C23×C83—41no—
230C23×C83—42no—
231C23×C83—42no—
232C23×C83—42no—
233C23×C83#13714yes—
234C23×C83C22×D412yes—
235C23×C83C22×D411yescharacteristic
236C23×C83C22×D412yes—
237Q8×C83—28no—
238Q8×C83—82no—
239Q8×C83—82no—
240Q8×C83—82no—
241D4×C83—28no—
242D4×C83—24no—
243D4×C83—42no—
244D4×C83—48no—
245D4×C83—84no—
246C2×C4×C83—22no—
247C2×C4×C83—24no—
248C2×C4×C83—24no—
249C2×C4×C83—22no—
250C2×C4×C83—22no—
251C2×C4×C83—22no—
252C2×C4×C83—24no—
253C2×C4×C83—24no—
254C2×C4×C83—22no—
255C2×C4×C83—42no—
256C2×C4×C83—42no—
257C2×C4×C83—41no—
258C2×C4×C83—41no—
259C2×C4×C83—41no—
260C2×C4×C83—42no—
261C2×C4×C83—42no—
262C2×C4×C83—42no—
263C2×C4×C83—84no—
264C2×C4×C83—82no—
265C2×C4×C83—82no—
266C2×C4×C83—84no—
267C2×C4×C83—82no—
268C2×C4×C83—82no—
269C2×C4×C83C22×D412yes—
270C2×C4×C83C22×D412yes—
271C2×C4×C83C22×D411yescharacteristic
272C2×C4×C83C22×D412yes—
273C2×C4×C83C22×D412yes—
274C2×C4×C83C2511yescharacteristic
275C8×C83—28no—
276C22×C83—21no—
277C22×C83—22no—
278C22×C83—21no—
279C22×C83—22no—
280C22×C83—22no—
281C22×C83—22no—
282C22×C83—22no—
283C22×C83—44no—
284C22×C83—42no—
285C22×C83—42no—
286C22×C83—42no—
287C22×C83—82no—
288C22×C83—84no—
289C22×C83C2×#13712yes—
290C22×C83C2×#13714yes—
291C22×C83C23×D411yescharacteristic
292C4×C83—22no—
293C4×C83—21no—
294C4×C83—22no—
295C4×C83—22no—
296C4×C83—22no—
297C4×C83—42no—
298C4×C83—42no—
299C4×C83—44no—
300C4×C83—44no—
301C4×C83—42no—
302C4×C83#58512yes—
303#61708C8311yesmaximal, characteristic, direct product factor, Sylow
304C2×C83—22no—
305C2×C83—24no—
306C2×C83—42no—
307C2×C83—82no—
308C2×C83#348511yescharacteristic
309C2×C83C22×#13711yescharacteristic
310C2×C83#358511yescharacteristic
311#3501C2×C8311yescharacteristic, complemented
312C2×#553C2×C8311yescharacteristic
313#3346C2×C8318yescomplemented
314#3320C2×C8318yescomplemented
315#3236C2×C8312yescomplemented
316#3193C2×C8312yescomplemented
317#3187C2×C8312yescomplemented
318#3110C2×C8312yescomplemented
319#3095C2×C8312yescomplemented
320C2×#484C2×C8312yescomplemented
321#2973C2×C8311yescharacteristic, complemented
322C83#6170811yescharacteristic, direct product factor, Sylow
323#554—24no—
324#554C22×C8314yescomplemented
325#553—24no—
326#553C22×C8318yes—
327D4×Q8C22×C8314yescomplemented
328#544—21no—
329#543—21no—
330#543—21no—
331#533C22×C8312yes—
332C2×#126—21no—
333C2×#125C22×C8311yescharacteristic
334C2×#123—21no—
335C2×C22⋊Q8C22×C8312yes—
336C2×C22⋊Q8C22×C8312yes—
337C2×#121—21no—
338C2×#121C22×C8311yescharacteristic
339C2×#121C22×C8311yescharacteristic
340#518—21no—
341C2×C4×D4—21no—
342C2×C4×D4C22×C8311yescharacteristic
343C2×C4×D4C22×C8311yescharacteristic
344C2×#117C22×C8311yescharacteristic
345C22×C4⋊C4C22×C8311yescharacteristic
346#501C22×C8314yescomplemented
347#491C22×C8314yescomplemented
348#485C22×C8318yescomplemented
349#484C22×C8314yes—
350#484C22×C8314yes—
351#484C22×C8318yescomplemented
352#483C22×C8314yes—
353#481C22×C8314yescomplemented
354#480C22×C8314yescomplemented
355#479C22×C8318yescomplemented
356#474C22×C8314yescomplemented
357#468C22×C8318yescomplemented
358#465C22×C8318yescomplemented
359#461C22×C8314yescomplemented
360#450C22×C8314yes—
361#448C22×C8314yescomplemented
362#448C22×C8314yescomplemented
363#440C22×C8318yescomplemented
364#435C22×C8318yescomplemented
365#432C22×C8312yes—
366#428C22×C8314yescomplemented
367C2×#107C22×C8314yescomplemented
368#419C22×C8314yescomplemented
369C2×#103C22×C8314yescomplemented
370#407C22×C8312yes—
371C2×C22⋊C8C22×C8312yes—
372C22×Q8C23×C8312yes—
373C22×Q8C23×C8312yes—
374C22×D4—21no—
375C22×D4—21no—
376C22×D4D4×C8311yescharacteristic
377C22×D4C23×C8311yescharacteristic
378C23×C4—21no—
379C23×C4—21no—
380C23×C4C23×C8311yescharacteristic
381C23×C4C23×C8311yescharacteristic
382C2×SD16C23×C8318yes—
383C2×M16C23×C8314yes—
384C22×C8C23×C8314yes—
385C4⋊Q8—24no—
386C4⋊Q8C23×C8312yes—
387C4⋊Q8C23×C8312yes—
388#126—28no—
389#125—24no—
390#125—22no—
391#125—22no—
392#125C23×C8314yes—
393#123—28no—
394C22⋊Q8—22no—
395C22⋊Q8—22no—
396C22⋊Q8—22no—
397C22⋊Q8—22no—
398C22⋊Q8—22no—
399C22⋊Q8—24no—
400C22⋊Q8—24no—
401C22⋊Q8—24no—
402C22⋊Q8—24no—
403C22⋊Q8C23×C8314yes—
404C22⋊Q8C23×C8314yes—
405C22⋊Q8C23×C8314yes—
406#121—28no—
407#121—22no—
408#121—22no—
409#121C23×C8314yes—
410#121C23×C8314yes—
411C4×Q8—22no—
412C4×Q8C23×C8314yes—
413C4×D4—24no—
414C4×D4—24no—
415C4×D4—28no—
416C4×D4—22no—
417C4×D4D4×C8314yes—
418C4×D4C23×C8314yes—
419C4×D4C23×C8314yes—
420#117—22no—
421#117—22no—
422#117C23×C8314yes—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—22no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4—22no—
429C2×C4⋊C4D4×C8311yescharacteristic
430C2×C4⋊C4C23×C8311yescharacteristic
431C2×C4⋊C4C23×C8311yescharacteristic
432C2×C4⋊C4C23×C8314yes—
433C2×C4⋊C4C23×C8311yescharacteristic
434C2×C4⋊C4C23×C8312yes—
435C2×C4⋊C4C23×C8312yes—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—22no—
438C2×C22⋊C4—22no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4D4×C8311yescharacteristic
443C2×C22⋊C4D4×C8311yescharacteristic
444C2×C42—21no—
445C2×C42C23×C8311yescharacteristic
446#107C23×C8318yes—
447#107C23×C8318yes—
448#106C23×C8318yes—
449C4⋊C8C23×C8314yes—
450#103C23×C8318yes—
451#103C23×C8318yes—
452#103C23×C8318yes—
453#102C23×C8318yes—
454C22⋊C8C23×C8314yes—
455C22⋊C8C23×C8314yes—
456C22⋊C8C23×C8314yes—
457#97C23×C8314yes—
458C24—21no—
459C24C2×D4×C8311yescharacteristic
460C24C2×D4×C8311yescharacteristic
461C2×Q8—22no—
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—44no—
465C2×Q8—44no—
466C2×Q8C24×C8314yes—
467C2×D4—24no—
468C2×D4—24no—
469C2×D4—24no—
470C2×D4—21no—
471C2×D4—42no—
472C2×D4—44no—
473C2×D4—82no—
474C2×D4C2×D4×C8314yes—
475C2×D4C24×C8312yes—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—82no—
488C22×C4—82no—
489C22×C4C2×D4×C8311yescharacteristic
490C22×C4C2×D4×C8311yescharacteristic
491C22×C4C2×D4×C8311yescharacteristic
492C22×C4C2×D4×C8311yescharacteristic
493C22×C4C2×D4×C8312yes—
494C22×C4C2×D4×C8312yes—
495C22×C4C24×C8311yescharacteristic
496C22×C4C24×C8312yes—
497C22×C4C24×C8312yes—
498SD16—48no—
499M16—44no—
500C2×C8—44no—
501C2×C8C24×C8318yes—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—24no—
505C4⋊C4—24no—
506C4⋊C4—24no—
507C4⋊C4—24no—
508C4⋊C4—24no—
509C4⋊C4—24no—
510C4⋊C4—21no—
511C4⋊C4—22no—
512C4⋊C4—22no—
513C4⋊C4—22no—
514C4⋊C4—22no—
515C4⋊C4—22no—
516C4⋊C4—24no—
517C4⋊C4C2×D4×C8314yes—
518C4⋊C4C24×C8314yes—
519C4⋊C4C24×C8312yes—
520C4⋊C4C24×C8312yes—
521C4⋊C4C24×C8312yes—
522C22⋊C4—24no—
523C22⋊C4—24no—
524C22⋊C4—24no—
525C22⋊C4—24no—
526C22⋊C4—24no—
527C22⋊C4—24no—
528C22⋊C4—24no—
529C22⋊C4C2×D4×C8314yes—
530C22⋊C4C2×D4×C8314yes—
531C42—24no—
532C42—24no—
533C42C2×D4×C8312yes—
534C42C24×C8312yes—
535C23—22no—
536C23—22no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—42no—
542C23—42no—
543C23—42no—
544C23#137×C8314yes—
545C23C22×D4×C8312yes—
546C23C22×D4×C8311yescharacteristic
547C23C22×D4×C8312yes—
548Q8—28no—
549Q8—82no—
550Q8—82no—
551Q8—82no—
552D4—28no—
553D4—24no—
554D4—42no—
555D4—48no—
556D4—84no—
557C2×C4—22no—
558C2×C4—24no—
559C2×C4—24no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—42no—
567C2×C4—42no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—42no—
572C2×C4—42no—
573C2×C4—42no—
574C2×C4—84no—
575C2×C4—84no—
576C2×C4—82no—
577C2×C4—82no—
578C2×C4—82no—
579C2×C4—82no—
580C2×C4C22×D4×C8312yes—
581C2×C4C22×D4×C8312yes—
582C2×C4C22×D4×C8311yescharacteristic
583C2×C4C22×D4×C8312yes—
584C2×C4C22×D4×C8312yes—
585C2×C4C25×C8311yescharacteristic
586C8—28no—
587C22—21no—
588C22—22no—
589C22—21no—
590C22—22no—
591C22—22no—
592C22—22no—
593C22—22no—
594C22—44no—
595C22—42no—
596C22—42no—
597C22—42no—
598C22—82no—
599C22—84no—
600C22C2×#137×C8312yes—
601C22C2×#137×C8314yes—
602C22C23×D4×C8311yescharacteristic
603C4—22no—
604C4—22no—
605C4—21no—
606C4—22no—
607C4—22no—
608C4—42no—
609C4—42no—
610C4—42no—
611C4—44no—
612C4—44no—
613C4#585×C8312yes—
614C2—22no—
615C2—24no—
616C2—42no—
617C2—82no—
618C2C83×#348511yescharacteristic
619C2C22×#137×C8311yescharacteristic
620C2C83×#358511yescharacteristic
subgroupG/H
center, socleC22×C83C23×D4
commutator, Frattini, cosocleC2×C4C25×C83
prime radicalC2×#553×C83C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C83 ◁ C2×C4×D4×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3501C2semidirect
3. C83×#3346C2semidirect
4. C83×#3320C2semidirect
5. C83×#3236C2semidirect
6. C83×#3193C2semidirect
7. C83×#3187C2semidirect
8. C83×#3110C2semidirect
9. C83×#3095C2semidirect
10. C2×#484×C83C2semidirect
11. C83×#2973C2semidirect
13. #554×C83C22semidirect
16. D4×Q8×C83C22semidirect
35. #501×C83C22semidirect
36. #491×C83C22semidirect
37. #485×C83C22semidirect
40. #484×C83C22semidirect
42. #481×C83C22semidirect
43. #480×C83C22semidirect
44. #479×C83C22semidirect
45. #474×C83C22semidirect
46. #468×C83C22semidirect
47. #465×C83C22semidirect
48. #461×C83C22semidirect
50. #448×C83C22semidirect
51. #448×C83C22semidirect
52. #440×C83C22semidirect
53. #435×C83C22semidirect
55. #428×C83C22semidirect
56. C2×#107×C83C22semidirect
57. #419×C83C22semidirect
58. C2×#103×C83C22semidirect
303. #61708C83direct (N × H)
311. #3501C2×C83semidirect
313. #3346C2×C83semidirect
314. #3320C2×C83semidirect
315. #3236C2×C83semidirect
316. #3193C2×C83semidirect
317. #3187C2×C83semidirect
318. #3110C2×C83semidirect
319. #3095C2×C83semidirect
320. C2×#484C2×C83semidirect
321. #2973C2×C83semidirect
322. C83#61708direct (N × H)
324. #554C22×C83semidirect
327. D4×Q8C22×C83semidirect
346. #501C22×C83semidirect
347. #491C22×C83semidirect
348. #485C22×C83semidirect
351. #484C22×C83semidirect
353. #481C22×C83semidirect
354. #480C22×C83semidirect
355. #479C22×C83semidirect
356. #474C22×C83semidirect
357. #468C22×C83semidirect
358. #465C22×C83semidirect
359. #461C22×C83semidirect
361. #448C22×C83semidirect
362. #448C22×C83semidirect
363. #440C22×C83semidirect
364. #435C22×C83semidirect
366. #428C22×C83semidirect
367. C2×#107C22×C83semidirect
368. #419C22×C83semidirect
369. C2×#103C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35012
C2×#553×C832
C83×#33462
C83×#33202
C83×#32362
C83×#31932
C83×#31872
C83×#31102
C83×#30952
C2×#484×C832
C83×#29732
#6170883