Finite Group Databasebeta

← C83×#29505 #35257329

Subgroups — C83×#29505 #35257329

Order 21248.

822 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#2644C211yesmaximal, characteristic, complemented
2C83×#2328C211yesmaximal, characteristic, complemented
3C83×#2085C211yesmaximal, characteristic, complemented
4C83×#2073C211yesmaximal, characteristic, complemented
5C83×#2041C211yesmaximal, characteristic, complemented
6C83×#2011C211yesmaximal, characteristic
7C83×#1972C211yesmaximal, characteristic, complemented
8C83×#1970C211yesmaximal, characteristic, complemented
9C83×#1936C211yesmaximal, characteristic, complemented
10C83×#1934C211yesmaximal, characteristic, complemented
11C83×#1879C211yesmaximal, characteristic, complemented
12C83×#1879C211yesmaximal, characteristic, complemented
13C83×#1864C211yesmaximal, characteristic, complemented
14C83×#1862C211yesmaximal, characteristic, complemented
15C83×#1746C211yesmaximal, characteristic, complemented
16C22×D8×C83C2211yescharacteristic
17C22×D8×C83C2211yescharacteristic
18C2×#127×C83C2211yescharacteristic
19C2×C4×D4×C83C2211yescharacteristic
20C2×C4×D4×C83C2211yescharacteristic
21C2×#107×C83C2211yescharacteristic
22C2×#106×C83C2211yescharacteristic
23C2×#102×C83C2211yescharacteristic
24C2×#102×C83C2211yescharacteristic
25C2×#102×C83C2211yescharacteristic
26C2×#102×C83C2211yescharacteristic
27C2×#102×C83C2211yescharacteristic
28C2×#102×C83C2211yescharacteristic
29C2×#102×C83C2211yescharacteristic
30C2×#102×C83C2211yescharacteristic
31C2×#97×C83C2211yescharacteristic
32C2×C4×C8×C83C2211yescharacteristic
33#397×C83—21no—
34#397×C83—21no—
35#397×C83—21no—
36#396×C83—21no—
37#390×C83C2211yescharacteristic
38#390×C83C2211yescharacteristic
39#390×C83C2211yescharacteristic
40#390×C83C2211yescharacteristic
41#390×C83C2211yescharacteristic
42#389×C83C2211yescharacteristic
43#389×C83C2211yescharacteristic
44#389×C83C2211yescharacteristic
45#386×C83—21no—
46#386×C83—21no—
47#386×C83—21no—
48#386×C83—21no—
49#382×C83C2211yescharacteristic
50#376×C83C2211yescharacteristic
51#340×C83C2211yescharacteristic
52#340×C83C2211yescharacteristic
53#340×C83C2211yescharacteristic
54#340×C83C2211yescharacteristic
55#336×C83C2211yescharacteristic
56#336×C83C2211yescharacteristic
57#336×C83C2211yescharacteristic
58#336×C83C2211yescharacteristic
59C22×D4×C83—21no—
60C22×D4×C83—21no—
61C22×D4×C83C2311yescharacteristic
62C22×D4×C83C2311yescharacteristic
63C22×D4×C83C2311yescharacteristic
64C23×C4×C83—21no—
65C23×C4×C83—21no—
66C2×D8×C83—22no—
67C2×D8×C83—22no—
68C2×D8×C83—22no—
69C2×D8×C83—22no—
70C2×D8×C83—41no—
71C2×D8×C83—41no—
72C22×C8×C83C2311yescharacteristic
73C22×C8×C83C2311yescharacteristic
74C22×C8×C83C2311yescharacteristic
75C22×C8×C83C2311yescharacteristic
76#127×C83—22no—
77#127×C83—22no—
78C4×D4×C83—41no—
79C4×D4×C83—41no—
80C4×D4×C83—41no—
81C4×D4×C83—41no—
82C2×C4⋊C4×C83—21no—
83C2×C4⋊C4×C83—21no—
84C2×C4⋊C4×C83—21no—
85C2×C4⋊C4×C83C2311yescharacteristic
86C2×C4⋊C4×C83C2311yescharacteristic
87C2×C4⋊C4×C83C2311yescharacteristic
88C2×C4⋊C4×C83C2311yescharacteristic
89C2×C4⋊C4×C83C2311yescharacteristic
90C2×C22⋊C4×C83—21no—
91C2×C22⋊C4×C83—21no—
92C2×C22⋊C4×C83—21no—
93C2×C22⋊C4×C83—21no—
94C2×C22⋊C4×C83—21no—
95C2×C22⋊C4×C83—21no—
96C2×C22⋊C4×C83—21no—
97C2×C22⋊C4×C83—21no—
98C2×C22⋊C4×C83—21no—
99C2×C22⋊C4×C83—21no—
100C2×C22⋊C4×C83—21no—
101C2×C22⋊C4×C83—21no—
102C2×C42×C83C2311yescharacteristic
103C2×C42×C83C2311yescharacteristic
104C2×C42×C83C2311yescharacteristic
105#107×C83—41no—
106#106×C83—41no—
107#102×C83—22no—
108#102×C83—22no—
109#102×C83—22no—
110#102×C83—22no—
111#102×C83—41no—
112#102×C83—41no—
113#102×C83—41no—
114#102×C83—41no—
115#97×C83—22no—
116C4×C8×C83—22no—
117#95×C83—21no—
118#95×C83—21no—
119#95×C83—21no—
120#95×C83—21no—
121#95×C83—21no—
122#95×C83D411yescharacteristic
123#95×C83D411yescharacteristic
124#95×C83D411yescharacteristic
125#95×C83D411yescharacteristic
126C24×C83—21no—
127C24×C83—21no—
128C24×C83—21no—
129C2×D4×C83—24no—
130C2×D4×C83—24no—
131C2×D4×C83—21no—
132C2×D4×C83—21no—
133C2×D4×C83—21no—
134C2×D4×C83—21no—
135C2×D4×C83—21no—
136C2×D4×C83—21no—
137C2×D4×C83—21no—
138C2×D4×C83—21no—
139C2×D4×C83—21no—
140C2×D4×C83—21no—
141C2×D4×C83—21no—
142C2×D4×C83—21no—
143C2×D4×C83—21no—
144C2×D4×C83—21no—
145C2×D4×C83—21no—
146C2×D4×C83—21no—
147C2×D4×C83—81no—
148C2×D4×C83—81no—
149C2×D4×C83—81no—
150C2×D4×C83—81no—
151C2×D4×C83#4112yes—
152C2×D4×C83#4112yes—
153C22×C4×C83—21no—
154C22×C4×C83—21no—
155C22×C4×C83—21no—
156C22×C4×C83—21no—
157C22×C4×C83—21no—
158C22×C4×C83—42no—
159C22×C4×C83—42no—
160C22×C4×C83—81no—
161C22×C4×C83—81no—
162C22×C4×C83—81no—
163C22×C4×C83—81no—
164C22×C4×C83C2×D411yescharacteristic
165C22×C4×C83C2×D411yescharacteristic
166C22×C4×C83C2×D411yescharacteristic
167C22×C4×C83C2×D411yescharacteristic
168C22×C4×C83C2×D411yescharacteristic
169C22×C4×C83C2×D411yescharacteristic
170C22×C4×C83C2411yescharacteristic
171D8×C83—44no—
172D8×C83—44no—
173C2×C8×C83—21no—
174C2×C8×C83—21no—
175C2×C8×C83—21no—
176C2×C8×C83—21no—
177C2×C8×C83—21no—
178C2×C8×C83—21no—
179C2×C8×C83—21no—
180C2×C8×C83—21no—
181C2×C8×C83—21no—
182C2×C8×C83—21no—
183C2×C8×C83#4112yes—
184C2×C8×C83#4112yes—
185C4⋊C4×C83—21no—
186C4⋊C4×C83—21no—
187C4⋊C4×C83—21no—
188C4⋊C4×C83—21no—
189C4⋊C4×C83—21no—
190C4⋊C4×C83—21no—
191C4⋊C4×C83—21no—
192C4⋊C4×C83—21no—
193C4⋊C4×C83—21no—
194C4⋊C4×C83—21no—
195C4⋊C4×C83—81no—
196C4⋊C4×C83—81no—
197C4⋊C4×C83—81no—
198C22⋊C4×C83—42no—
199C22⋊C4×C83—42no—
200C22⋊C4×C83—81no—
201C22⋊C4×C83—81no—
202C22⋊C4×C83—81no—
203C22⋊C4×C83—81no—
204C22⋊C4×C83—81no—
205C22⋊C4×C83—81no—
206C22⋊C4×C83—81no—
207C22⋊C4×C83—81no—
208C22⋊C4×C83—81no—
209C22⋊C4×C83—81no—
210C42×C83—21no—
211C42×C83—21no—
212C42×C83—21no—
213C42×C83—21no—
214C42×C83—21no—
215C42×C83—21no—
216C23×C83—22no—
217C23×C83—22no—
218C23×C83—41no—
219C23×C83—41no—
220C23×C83—41no—
221C23×C83—41no—
222C23×C83—41no—
223C23×C83—41no—
224C23×C83—41no—
225C23×C83—41no—
226C23×C83—41no—
227C23×C83—41no—
228C23×C83—41no—
229C23×C83—41no—
230C23×C83—41no—
231C23×C83—41no—
232C23×C83—41no—
233C23×C83—41no—
234C23×C83—41no—
235C23×C83—41no—
236C23×C83—41no—
237C23×C83C22×D411yescharacteristic
238D4×C83—22no—
239D4×C83—22no—
240D4×C83—22no—
241D4×C83—22no—
242D4×C83—41no—
243D4×C83—41no—
244D4×C83—41no—
245D4×C83—41no—
246D4×C83—41no—
247D4×C83—41no—
248D4×C83—41no—
249D4×C83—41no—
250D4×C83—84no—
251D4×C83—84no—
252C2×C4×C83—21no—
253C2×C4×C83—21no—
254C2×C4×C83—21no—
255C2×C4×C83—21no—
256C2×C4×C83—21no—
257C2×C4×C83—21no—
258C2×C4×C83—21no—
259C2×C4×C83—21no—
260C2×C4×C83—21no—
261C2×C4×C83—21no—
262C2×C4×C83—21no—
263C2×C4×C83—21no—
264C2×C4×C83—21no—
265C2×C4×C83—21no—
266C2×C4×C83—21no—
267C2×C4×C83—21no—
268C2×C4×C83—21no—
269C2×C4×C83—21no—
270C2×C4×C83—41no—
271C2×C4×C83—41no—
272C2×C4×C83—41no—
273C2×C4×C83—41no—
274C2×C4×C83—41no—
275C2×C4×C83—41no—
276C2×C4×C83—41no—
277C2×C4×C83—41no—
278C2×C4×C83—41no—
279C2×C4×C83—41no—
280C2×C4×C83—41no—
281C2×C4×C83—41no—
282C2×C4×C83—41no—
283C2×C4×C83—41no—
284C2×C4×C83—41no—
285C2×C4×C83—84no—
286C2×C4×C83—84no—
287C2×C4×C83C2×#4111yescharacteristic
288C2×C4×C83C2×#4111yescharacteristic
289C2×C4×C83C2×#4111yescharacteristic
290C2×C4×C83C2×#4111yescharacteristic
291C2×C4×C83H(5,𝔽2)11yescharacteristic
292C2×C4×C83H(5,𝔽2)11yescharacteristic
293C8×C83—22no—
294C8×C83—22no—
295C8×C83—41no—
296C8×C83—41no—
297C22×C83—42no—
298C22×C83—42no—
299C22×C83—42no—
300C22×C83—42no—
301C22×C83—42no—
302C22×C83—42no—
303C22×C83—81no—
304C22×C83—81no—
305C22×C83—81no—
306C22×C83—81no—
307C22×C83—81no—
308C22×C83—81no—
309C22×C83—81no—
310C22×C83—81no—
311C22×C83—81no—
312C22×C83—81no—
313C22×C83—81no—
314C22×C83—81no—
315C22×C83—81no—
316C22×C83—81no—
317C22×C83—81no—
318C22×C83#52511yescharacteristic
319C22×C83#53211yescharacteristic
320C22×C83#53511yescharacteristic
321C22×C83#57611yescharacteristic
322C22×C83#57611yescharacteristic
323C22×C83#57611yescharacteristic
324C22×C83#57711yescharacteristic
325C4×C83—41no—
326C4×C83—41no—
327C4×C83—41no—
328C4×C83—41no—
329C4×C83—41no—
330C4×C83—41no—
331C4×C83—81no—
332C4×C83—81no—
333C4×C83—81no—
334C4×C83—81no—
335C4×C83—81no—
336C4×C83#55111yescharacteristic
337C4×C83#55111yescharacteristic
338C4×C83#55311yescharacteristic
339C4×C83#55311yescharacteristic
340#29505C8311yesmaximal, characteristic, direct product factor, Sylow
341C2×C83—82no—
342C2×C83—82no—
343C2×C83—161no—
344C2×C83#260311yescharacteristic
345C2×C83#311811yescharacteristic
346C2×C83#312211yescharacteristic
347C2×C83#317611yescharacteristic
348C2×C83#317911yescharacteristic
349C2×C83#322011yescharacteristic
350C2×C83#322411yescharacteristic
351#2644C2×C8311yescharacteristic, complemented
352#2328C2×C8311yescharacteristic, complemented
353#2085C2×C8311yescharacteristic, complemented
354#2073C2×C8311yescharacteristic, complemented
355#2041C2×C8311yescharacteristic, complemented
356#2011C2×C8311yescharacteristic
357#1972C2×C8311yescharacteristic, complemented
358#1970C2×C8311yescharacteristic, complemented
359#1936C2×C8311yescharacteristic, complemented
360#1934C2×C8311yescharacteristic, complemented
361#1879C2×C8311yescharacteristic, complemented
362#1879C2×C8311yescharacteristic, complemented
363#1864C2×C8311yescharacteristic, complemented
364#1862C2×C8311yescharacteristic, complemented
365#1746C2×C8311yescharacteristic, complemented
366C83#2950511yescharacteristic, direct product factor, Sylow
367C22×D8C22×C8311yescharacteristic
368C22×D8C22×C8311yescharacteristic
369C2×#127C22×C8311yescharacteristic
370C2×C4×D4C22×C8311yescharacteristic
371C2×C4×D4C22×C8311yescharacteristic
372C2×#107C22×C8311yescharacteristic
373C2×#106C22×C8311yescharacteristic
374C2×#102C22×C8311yescharacteristic
375C2×#102C22×C8311yescharacteristic
376C2×#102C22×C8311yescharacteristic
377C2×#102C22×C8311yescharacteristic
378C2×#102C22×C8311yescharacteristic
379C2×#102C22×C8311yescharacteristic
380C2×#102C22×C8311yescharacteristic
381C2×#102C22×C8311yescharacteristic
382C2×#97C22×C8311yescharacteristic
383C2×C4×C8C22×C8311yescharacteristic
384#397—21no—
385#397—21no—
386#397—21no—
387#396—21no—
388#390C22×C8311yescharacteristic
389#390C22×C8311yescharacteristic
390#390C22×C8311yescharacteristic
391#390C22×C8311yescharacteristic
392#390C22×C8311yescharacteristic
393#389C22×C8311yescharacteristic
394#389C22×C8311yescharacteristic
395#389C22×C8311yescharacteristic
396#386—21no—
397#386—21no—
398#386—21no—
399#386—21no—
400#382C22×C8311yescharacteristic
401#376C22×C8311yescharacteristic
402#340C22×C8311yescharacteristic
403#340C22×C8311yescharacteristic
404#340C22×C8311yescharacteristic
405#340C22×C8311yescharacteristic
406#336C22×C8311yescharacteristic
407#336C22×C8311yescharacteristic
408#336C22×C8311yescharacteristic
409#336C22×C8311yescharacteristic
410C22×D4—21no—
411C22×D4—21no—
412C22×D4C23×C8311yescharacteristic
413C22×D4C23×C8311yescharacteristic
414C22×D4C23×C8311yescharacteristic
415C23×C4—21no—
416C23×C4—21no—
417C2×D8—22no—
418C2×D8—22no—
419C2×D8—22no—
420C2×D8—22no—
421C2×D8—41no—
422C2×D8—41no—
423C22×C8C23×C8311yescharacteristic
424C22×C8C23×C8311yescharacteristic
425C22×C8C23×C8311yescharacteristic
426C22×C8C23×C8311yescharacteristic
427#127—22no—
428#127—22no—
429C4×D4—41no—
430C4×D4—41no—
431C4×D4—41no—
432C4×D4—41no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4C23×C8311yescharacteristic
437C2×C4⋊C4C23×C8311yescharacteristic
438C2×C4⋊C4C23×C8311yescharacteristic
439C2×C4⋊C4C23×C8311yescharacteristic
440C2×C4⋊C4C23×C8311yescharacteristic
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C42C23×C8311yescharacteristic
454C2×C42C23×C8311yescharacteristic
455C2×C42C23×C8311yescharacteristic
456#107—41no—
457#106—41no—
458#102—22no—
459#102—22no—
460#102—22no—
461#102—22no—
462#102—41no—
463#102—41no—
464#102—41no—
465#102—41no—
466#97—22no—
467C4×C8—22no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95D4×C8311yescharacteristic
474#95D4×C8311yescharacteristic
475#95D4×C8311yescharacteristic
476#95D4×C8311yescharacteristic
477C24—21no—
478C24—21no—
479C24—21no—
480C2×D4—24no—
481C2×D4—24no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4—81no—
501C2×D4—81no—
502C2×D4#41×C8312yes—
503C2×D4#41×C8312yes—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—81no—
512C22×C4—81no—
513C22×C4—81no—
514C22×C4—81no—
515C22×C4C2×D4×C8311yescharacteristic
516C22×C4C2×D4×C8311yescharacteristic
517C22×C4C2×D4×C8311yescharacteristic
518C22×C4C2×D4×C8311yescharacteristic
519C22×C4C2×D4×C8311yescharacteristic
520C22×C4C2×D4×C8311yescharacteristic
521C22×C4C24×C8311yescharacteristic
522D8—44no—
523D8—44no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8#41×C8312yes—
535C2×C8#41×C8312yes—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—81no—
547C4⋊C4—81no—
548C4⋊C4—81no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—81no—
552C22⋊C4—81no—
553C22⋊C4—81no—
554C22⋊C4—81no—
555C22⋊C4—81no—
556C22⋊C4—81no—
557C22⋊C4—81no—
558C22⋊C4—81no—
559C22⋊C4—81no—
560C22⋊C4—81no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—21no—
566C42—21no—
567C23—22no—
568C23—22no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23C22×D4×C8311yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—22no—
593D4—41no—
594D4—41no—
595D4—41no—
596D4—41no—
597D4—41no—
598D4—41no—
599D4—41no—
600D4—41no—
601D4—84no—
602D4—84no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—84no—
637C2×C4—84no—
638C2×C4C2×#41×C8311yescharacteristic
639C2×C4C2×#41×C8311yescharacteristic
640C2×C4C2×#41×C8311yescharacteristic
641C2×C4C2×#41×C8311yescharacteristic
642C2×C4H(5,𝔽2)×C8311yescharacteristic
643C2×C4H(5,𝔽2)×C8311yescharacteristic
644C8—22no—
645C8—22no—
646C8—41no—
647C8—41no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—81no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22#525×C8311yescharacteristic
670C22#532×C8311yescharacteristic
671C22#535×C8311yescharacteristic
672C22#576×C8311yescharacteristic
673C22#576×C8311yescharacteristic
674C22#576×C8311yescharacteristic
675C22#577×C8311yescharacteristic
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—41no—
681C4—41no—
682C4—81no—
683C4—81no—
684C4—81no—
685C4—81no—
686C4—81no—
687C4#551×C8311yescharacteristic
688C4#551×C8311yescharacteristic
689C4#553×C8311yescharacteristic
690C4#553×C8311yescharacteristic
691C2—82no—
692C2—82no—
693C2—161no—
694C2C83×#260311yescharacteristic
695C2C83×#311811yescharacteristic
696C2C83×#312211yescharacteristic
697C2C83×#317611yescharacteristic
698C2C83×#317911yescharacteristic
699C2C83×#322011yescharacteristic
700C2C83×#322411yescharacteristic
subgroupG/H
center, socleC23×C83C22×D4
commutator, Frattini, cosocleC22×C4C24×C83
prime radicalC83×#2011C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C83 ◁ #376×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#2644C2semidirect
2. C83×#2328C2semidirect
3. C83×#2085C2semidirect
4. C83×#2073C2semidirect
5. C83×#2041C2semidirect
7. C83×#1972C2semidirect
8. C83×#1970C2semidirect
9. C83×#1936C2semidirect
10. C83×#1934C2semidirect
11. C83×#1879C2semidirect
12. C83×#1879C2semidirect
13. C83×#1864C2semidirect
14. C83×#1862C2semidirect
15. C83×#1746C2semidirect
340. #29505C83direct (N × H)
351. #2644C2×C83semidirect
352. #2328C2×C83semidirect
353. #2085C2×C83semidirect
354. #2073C2×C83semidirect
355. #2041C2×C83semidirect
357. #1972C2×C83semidirect
358. #1970C2×C83semidirect
359. #1936C2×C83semidirect
360. #1934C2×C83semidirect
361. #1879C2×C83semidirect
362. #1879C2×C83semidirect
363. #1864C2×C83semidirect
364. #1862C2×C83semidirect
365. #1746C2×C83semidirect
366. C83#29505direct (N × H)

Maximal subgroups

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

subgroupindex
C83×#26442
C83×#23282
C83×#20852
C83×#20732
C83×#20412
C83×#20112
C83×#19722
C83×#19702
C83×#19362
C83×#19342
C83×#18792
C83×#18642
C83×#18622
C83×#17462
#2950583