Finite Group Databasebeta

← C83×#29469 #35257293

Subgroups — C83×#29469 #35257293

Order 21248.

798 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#2624C211yesmaximal, characteristic, complemented
2C83×#2324C211yesmaximal, characteristic, complemented
3C83×#2075C211yesmaximal, characteristic, complemented
4C83×#2034C211yesmaximal, characteristic, complemented
5C83×#2034C211yesmaximal, characteristic, complemented
6C83×#1999C211yesmaximal, characteristic
7C83×#1970C211yesmaximal, characteristic, complemented
8C83×#1941C211yesmaximal, characteristic, complemented
9C83×#1936C211yesmaximal, characteristic, complemented
10C83×#1936C211yesmaximal, characteristic, complemented
11C83×#1926C211yesmaximal, characteristic, complemented
12C83×#1918C211yesmaximal, characteristic, complemented
13C83×#1879C211yesmaximal, characteristic, complemented
14C83×#1864C211yesmaximal, characteristic, complemented
15C83×#1750C211yesmaximal, characteristic, complemented
16C22×D8×C83C2211yescharacteristic
17C2×#121×C83C2211yescharacteristic
18C2×#121×C83C2211yescharacteristic
19C2×C4×D4×C83C2211yescharacteristic
20C2×#117×C83C2211yescharacteristic
21C2×#107×C83C2211yescharacteristic
22C2×#106×C83C2211yescharacteristic
23C2×#106×C83C2211yescharacteristic
24C2×#102×C83C2211yescharacteristic
25C2×#102×C83C2211yescharacteristic
26C2×#102×C83C2211yescharacteristic
27C2×#102×C83C2211yescharacteristic
28C2×#102×C83C2211yescharacteristic
29C2×#102×C83C2211yescharacteristic
30C2×C22⋊C8×C83C2211yescharacteristic
31C2×C22⋊C8×C83C2211yescharacteristic
32C2×#97×C83C2211yescharacteristic
33C2×C4×C8×C83C2211yescharacteristic
34#399×C83—21no—
35#397×C83—21no—
36#394×C83—21no—
37#394×C83—21no—
38#390×C83—21no—
39#390×C83C2211yescharacteristic
40#390×C83C2211yescharacteristic
41#390×C83C2211yescharacteristic
42#389×C83C2211yescharacteristic
43#389×C83C2211yescharacteristic
44#389×C83C2211yescharacteristic
45#388×C83—21no—
46#386×C83—21no—
47#385×C83—21no—
48#380×C83C2211yescharacteristic
49#380×C83C2211yescharacteristic
50C4×C4⋊C4×C83C2211yescharacteristic
51#340×C83C2211yescharacteristic
52#340×C83C2211yescharacteristic
53#340×C83C2211yescharacteristic
54#340×C83C2211yescharacteristic
55#340×C83C2211yescharacteristic
56#340×C83C2211yescharacteristic
57#336×C83C2211yescharacteristic
58#336×C83C2211yescharacteristic
59C22×D4×C83—21no—
60C22×D4×C83—21no—
61C22×D4×C83C2311yescharacteristic
62C22×D4×C83C2311yescharacteristic
63C23×C4×C83—21no—
64C23×C4×C83C2311yescharacteristic
65C2×D8×C83—22no—
66C2×D8×C83—22no—
67C2×D8×C83—41no—
68C22×C8×C83C2311yescharacteristic
69C22×C8×C83C2311yescharacteristic
70C22×C8×C83C2311yescharacteristic
71C22×C8×C83C2311yescharacteristic
72#121×C83—22no—
73#121×C83—22no—
74#121×C83—41no—
75#121×C83—41no—
76C4×D4×C83—41no—
77C4×D4×C83—41no—
78#117×C83—41no—
79#117×C83—41no—
80C2×C4⋊C4×C83—21no—
81C2×C4⋊C4×C83—21no—
82C2×C4⋊C4×C83—21no—
83C2×C4⋊C4×C83D411yescharacteristic
84C2×C4⋊C4×C83D411yescharacteristic
85C2×C4⋊C4×C83C2311yescharacteristic
86C2×C4⋊C4×C83C2311yescharacteristic
87C2×C4⋊C4×C83C2311yescharacteristic
88C2×C4⋊C4×C83C2311yescharacteristic
89C2×C4⋊C4×C83C2311yescharacteristic
90C2×C4⋊C4×C83C2311yescharacteristic
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×C22⋊C4×C83D411yescharacteristic
103C2×C22⋊C4×C83D411yescharacteristic
104C2×C42×C83—21no—
105C2×C42×C83C2311yescharacteristic
106C2×C42×C83C2311yescharacteristic
107#107×C83—22no—
108#106×C83—22no—
109#106×C83—41no—
110#102×C83—22no—
111#102×C83—22no—
112#102×C83—22no—
113#102×C83—22no—
114#102×C83—41no—
115#102×C83—41no—
116C22⋊C8×C83—22no—
117C22⋊C8×C83—22no—
118#97×C83—41no—
119C4×C8×C83—41no—
120#95×C83—21no—
121#95×C83—21no—
122#95×C83—21no—
123#95×C83—21no—
124#95×C83—21no—
125#95×C83—21no—
126C24×C83—21no—
127C24×C83—21no—
128C24×C83C2×D411yescharacteristic
129C2×D4×C83—24no—
130C2×D4×C83—21no—
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—42no—
142C2×D4×C83—81no—
143C2×D4×C83—81no—
144C2×D4×C83—81no—
145C2×D4×C83—81no—
146C2×D4×C83#4112yes—
147C22×C4×C83—21no—
148C22×C4×C83—21no—
149C22×C4×C83—21no—
150C22×C4×C83—21no—
151C22×C4×C83—21no—
152C22×C4×C83—21no—
153C22×C4×C83—21no—
154C22×C4×C83—21no—
155C22×C4×C83—21no—
156C22×C4×C83—21no—
157C22×C4×C83—21no—
158C22×C4×C83—21no—
159C22×C4×C83—42no—
160C22×C4×C83—81no—
161C22×C4×C83—81no—
162C22×C4×C83C2×D411yescharacteristic
163C22×C4×C83C2×D411yescharacteristic
164C22×C4×C83C2×D411yescharacteristic
165C22×C4×C83C2×D411yescharacteristic
166C22×C4×C83C2×D411yescharacteristic
167C22×C4×C83C2411yescharacteristic
168D8×C83—44no—
169C2×C8×C83—21no—
170C2×C8×C83—21no—
171C2×C8×C83—21no—
172C2×C8×C83—21no—
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#4112yes—
180C2×C8×C83#4112yes—
181C4⋊C4×C83—21no—
182C4⋊C4×C83—21no—
183C4⋊C4×C83—21no—
184C4⋊C4×C83—21no—
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—41no—
193C4⋊C4×C83—41no—
194C4⋊C4×C83—81no—
195C4⋊C4×C83—81no—
196C4⋊C4×C83—81no—
197C4⋊C4×C83#4112yes—
198C22⋊C4×C83—24no—
199C22⋊C4×C83—41no—
200C22⋊C4×C83—41no—
201C22⋊C4×C83—42no—
202C22⋊C4×C83—42no—
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—
210C22⋊C4×C83—81no—
211C42×C83—21no—
212C42×C83—21no—
213C42×C83—21no—
214C42×C83—21no—
215C42×C83—81no—
216C23×C83—22no—
217C23×C83—21no—
218C23×C83—21no—
219C23×C83—21no—
220C23×C83—21no—
221C23×C83—21no—
222C23×C83—21no—
223C23×C83—21no—
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—41no—
241D4×C83—41no—
242D4×C83—41no—
243D4×C83—41no—
244D4×C83—41no—
245D4×C83—41no—
246D4×C83—84no—
247D4×C83—84no—
248C2×C4×C83—21no—
249C2×C4×C83—22no—
250C2×C4×C83—21no—
251C2×C4×C83—21no—
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—41no—
265C2×C4×C83—41no—
266C2×C4×C83—41no—
267C2×C4×C83—41no—
268C2×C4×C83—41no—
269C2×C4×C83—41no—
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×C83C2×#4111yescharacteristic
287C2×C4×C83C2×#4111yescharacteristic
288C2×C4×C83C2×#4111yescharacteristic
289C2×C4×C83C2×#4111yescharacteristic
290C2×C4×C83H(5,𝔽2)11yescharacteristic
291C2×C4×C83H(5,𝔽2)11yescharacteristic
292C8×C83—22no—
293C8×C83—22no—
294C8×C83—41no—
295C8×C83—41no—
296C22×C83—41no—
297C22×C83—42no—
298C22×C83—41no—
299C22×C83—42no—
300C22×C83—41no—
301C22×C83—42no—
302C22×C83—41no—
303C22×C83—41no—
304C22×C83—41no—
305C22×C83—41no—
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#52511yescharacteristic
318C22×C83#53211yescharacteristic
319C22×C83#53411yescharacteristic
320C22×C83#57611yescharacteristic
321C22×C83#57611yescharacteristic
322C22×C83#57711yescharacteristic
323C22×C83#57711yescharacteristic
324C4×C83—41no—
325C4×C83—42no—
326C4×C83—41no—
327C4×C83—41no—
328C4×C83—41no—
329C4×C83—41no—
330C4×C83—81no—
331C4×C83—81no—
332C4×C83—81no—
333C4×C83—81no—
334C4×C83—81no—
335C4×C83#55111yescharacteristic
336C4×C83#55311yescharacteristic
337C4×C83#55311yescharacteristic
338C4×C83#55911yescharacteristic
339#29469C8311yesmaximal, characteristic, direct product factor, Sylow
340C2×C83—81no—
341C2×C83—82no—
342C2×C83—161no—
343C2×C83#260211yescharacteristic
344C2×C83#311811yescharacteristic
345C2×C83#311911yescharacteristic
346C2×C83#317311yescharacteristic
347C2×C83#317611yescharacteristic
348C2×C83#319811yescharacteristic
349C2×C83#319811yescharacteristic
350#2624C2×C8311yescharacteristic, complemented
351#2324C2×C8311yescharacteristic, complemented
352#2075C2×C8311yescharacteristic, complemented
353#2034C2×C8311yescharacteristic, complemented
354#2034C2×C8311yescharacteristic, complemented
355#1999C2×C8311yescharacteristic
356#1970C2×C8311yescharacteristic, complemented
357#1941C2×C8311yescharacteristic, complemented
358#1936C2×C8311yescharacteristic, complemented
359#1936C2×C8311yescharacteristic, complemented
360#1926C2×C8311yescharacteristic, complemented
361#1918C2×C8311yescharacteristic, complemented
362#1879C2×C8311yescharacteristic, complemented
363#1864C2×C8311yescharacteristic, complemented
364#1750C2×C8311yescharacteristic, complemented
365C83#2946911yescharacteristic, direct product factor, Sylow
366C22×D8C22×C8311yescharacteristic
367C2×#121C22×C8311yescharacteristic
368C2×#121C22×C8311yescharacteristic
369C2×C4×D4C22×C8311yescharacteristic
370C2×#117C22×C8311yescharacteristic
371C2×#107C22×C8311yescharacteristic
372C2×#106C22×C8311yescharacteristic
373C2×#106C22×C8311yescharacteristic
374C2×#102C22×C8311yescharacteristic
375C2×#102C22×C8311yescharacteristic
376C2×#102C22×C8311yescharacteristic
377C2×#102C22×C8311yescharacteristic
378C2×#102C22×C8311yescharacteristic
379C2×#102C22×C8311yescharacteristic
380C2×C22⋊C8C22×C8311yescharacteristic
381C2×C22⋊C8C22×C8311yescharacteristic
382C2×#97C22×C8311yescharacteristic
383C2×C4×C8C22×C8311yescharacteristic
384#399—21no—
385#397—21no—
386#394—21no—
387#394—21no—
388#390—21no—
389#390C22×C8311yescharacteristic
390#390C22×C8311yescharacteristic
391#390C22×C8311yescharacteristic
392#389C22×C8311yescharacteristic
393#389C22×C8311yescharacteristic
394#389C22×C8311yescharacteristic
395#388—21no—
396#386—21no—
397#385—21no—
398#380C22×C8311yescharacteristic
399#380C22×C8311yescharacteristic
400C4×C4⋊C4C22×C8311yescharacteristic
401#340C22×C8311yescharacteristic
402#340C22×C8311yescharacteristic
403#340C22×C8311yescharacteristic
404#340C22×C8311yescharacteristic
405#340C22×C8311yescharacteristic
406#340C22×C8311yescharacteristic
407#336C22×C8311yescharacteristic
408#336C22×C8311yescharacteristic
409C22×D4—21no—
410C22×D4—21no—
411C22×D4C23×C8311yescharacteristic
412C22×D4C23×C8311yescharacteristic
413C23×C4—21no—
414C23×C4C23×C8311yescharacteristic
415C2×D8—22no—
416C2×D8—22no—
417C2×D8—41no—
418C22×C8C23×C8311yescharacteristic
419C22×C8C23×C8311yescharacteristic
420C22×C8C23×C8311yescharacteristic
421C22×C8C23×C8311yescharacteristic
422#121—22no—
423#121—22no—
424#121—41no—
425#121—41no—
426C4×D4—41no—
427C4×D4—41no—
428#117—41no—
429#117—41no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4D4×C8311yescharacteristic
434C2×C4⋊C4D4×C8311yescharacteristic
435C2×C4⋊C4C23×C8311yescharacteristic
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⋊C4D4×C8311yescharacteristic
453C2×C22⋊C4D4×C8311yescharacteristic
454C2×C42—21no—
455C2×C42C23×C8311yescharacteristic
456C2×C42C23×C8311yescharacteristic
457#107—22no—
458#106—22no—
459#106—41no—
460#102—22no—
461#102—22no—
462#102—22no—
463#102—22no—
464#102—41no—
465#102—41no—
466C22⋊C8—22no—
467C22⋊C8—22no—
468#97—41no—
469C4×C8—41no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95—21no—
476C24—21no—
477C24—21no—
478C24C2×D4×C8311yescharacteristic
479C2×D4—24no—
480C2×D4—21no—
481C2×D4—21no—
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—42no—
492C2×D4—81no—
493C2×D4—81no—
494C2×D4—81no—
495C2×D4—81no—
496C2×D4#41×C8312yes—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—42no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4C2×D4×C8311yescharacteristic
513C22×C4C2×D4×C8311yescharacteristic
514C22×C4C2×D4×C8311yescharacteristic
515C22×C4C2×D4×C8311yescharacteristic
516C22×C4C2×D4×C8311yescharacteristic
517C22×C4C24×C8311yescharacteristic
518D8—44no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8#41×C8312yes—
530C2×C8#41×C8312yes—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—41no—
543C4⋊C4—41no—
544C4⋊C4—81no—
545C4⋊C4—81no—
546C4⋊C4—81no—
547C4⋊C4#41×C8312yes—
548C22⋊C4—24no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C22⋊C4—42no—
552C22⋊C4—42no—
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—81no—
566C23—22no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
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—
587C23C22×D4×C8311yescharacteristic
588D4—22no—
589D4—22no—
590D4—41no—
591D4—41no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—41no—
596D4—84no—
597D4—84no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
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—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
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—84no—
636C2×C4C2×#41×C8311yescharacteristic
637C2×C4C2×#41×C8311yescharacteristic
638C2×C4C2×#41×C8311yescharacteristic
639C2×C4C2×#41×C8311yescharacteristic
640C2×C4H(5,𝔽2)×C8311yescharacteristic
641C2×C4H(5,𝔽2)×C8311yescharacteristic
642C8—22no—
643C8—22no—
644C8—41no—
645C8—41no—
646C22—41no—
647C22—42no—
648C22—41no—
649C22—42no—
650C22—41no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22#525×C8311yescharacteristic
668C22#532×C8311yescharacteristic
669C22#534×C8311yescharacteristic
670C22#576×C8311yescharacteristic
671C22#576×C8311yescharacteristic
672C22#577×C8311yescharacteristic
673C22#577×C8311yescharacteristic
674C4—41no—
675C4—42no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—81no—
681C4—81no—
682C4—81no—
683C4—81no—
684C4—81no—
685C4#551×C8311yescharacteristic
686C4#553×C8311yescharacteristic
687C4#553×C8311yescharacteristic
688C4#559×C8311yescharacteristic
689C2—81no—
690C2—82no—
691C2—161no—
692C2C83×#260211yescharacteristic
693C2C83×#311811yescharacteristic
694C2C83×#311911yescharacteristic
695C2C83×#317311yescharacteristic
696C2C83×#317611yescharacteristic
697C2C83×#319811yescharacteristic
698C2C83×#319811yescharacteristic
subgroupG/H
center, socleC23×C83C22×D4
commutator, Frattini, cosocleC22×C4C24×C83
prime radicalC83×#1999C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C83 ◁ C2×#117×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#2624C2semidirect
2. C83×#2324C2semidirect
3. C83×#2075C2semidirect
4. C83×#2034C2semidirect
5. C83×#2034C2semidirect
7. C83×#1970C2semidirect
8. C83×#1941C2semidirect
9. C83×#1936C2semidirect
10. C83×#1936C2semidirect
11. C83×#1926C2semidirect
12. C83×#1918C2semidirect
13. C83×#1879C2semidirect
14. C83×#1864C2semidirect
15. C83×#1750C2semidirect
339. #29469C83direct (N × H)
350. #2624C2×C83semidirect
351. #2324C2×C83semidirect
352. #2075C2×C83semidirect
353. #2034C2×C83semidirect
354. #2034C2×C83semidirect
356. #1970C2×C83semidirect
357. #1941C2×C83semidirect
358. #1936C2×C83semidirect
359. #1936C2×C83semidirect
360. #1926C2×C83semidirect
361. #1918C2×C83semidirect
362. #1879C2×C83semidirect
363. #1864C2×C83semidirect
364. #1750C2×C83semidirect
365. C83#29469direct (N × H)

Maximal subgroups

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

subgroupindex
C83×#26242
C83×#23242
C83×#20752
C83×#20342
C83×#19992
C83×#19702
C83×#19412
C83×#19362
C83×#19262
C83×#19182
C83×#18792
C83×#18642
C83×#17502
#2946983