Finite Group Databasebeta

← C83×#25197 #35253021

Subgroups — C83×#25197 #35253021

Order 21248.

968 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#3068C211yesmaximal, characteristic, complemented
2C83×#3068C211yesmaximal, characteristic, complemented
3C83×#3020C211yesmaximal, characteristic, complemented
4C2×#454×C83C211yesmaximal, characteristic, complemented
5C83×#2956C211yesmaximal, characteristic, complemented
6C83×#2889C211yesmaximal, characteristic, complemented
7C83×#2070C211yesmaximal, characteristic, complemented
8C83×#2050C211yesmaximal, characteristic, complemented
9C83×#2048C211yesmaximal, characteristic, complemented
10C83×#2003C211yesmaximal, characteristic, complemented
11C83×#1967C211yesmaximal, characteristic, complemented
12C83×#1932C211yesmaximal, characteristic, complemented
13C83×#1915C211yesmaximal, characteristic, complemented
14C83×#1903C211yesmaximal, characteristic, complemented
15C83×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C83C2211yescharacteristic
17#575×C83C2211yescharacteristic
18#575×C83C2211yescharacteristic
19C2×AGL(1,ℤ/8)×C83C2211yescharacteristic
20C2×AGL(1,ℤ/8)×C83C2211yescharacteristic
21C2×AGL(1,ℤ/8)×C83C2211yescharacteristic
22#568×C83C2211yescharacteristic
23#568×C83C2211yescharacteristic
24#568×C83C2211yescharacteristic
25#536×C83C2211yescharacteristic
26C2×#124×C83C2211yescharacteristic
27#472×C83—22no—
28#472×C83—22no—
29#471×C83—22no—
30#471×C83—22no—
31#456×C83—22no—
32#454×C83—22no—
33#454×C83—22no—
34#454×C83—22no—
35#444×C83—22no—
36#443×C83—22no—
37#430×C83C2211yescharacteristic
38#430×C83C2211yescharacteristic
39#430×C83C2211yescharacteristic
40#423×C83C2211yescharacteristic
41#421×C83C2211yescharacteristic
42#421×C83C2211yescharacteristic
43C2×#104×C83C2211yescharacteristic
44C2×#104×C83C2211yescharacteristic
45C2×#104×C83C2211yescharacteristic
46#418×C83C2211yescharacteristic
47#413×C83—22no—
48#413×C83C2211yescharacteristic
49#413×C83C2211yescharacteristic
50#413×C83C2211yescharacteristic
51C2×#101×C83—22no—
52C2×#101×C83C2211yescharacteristic
53C2×#101×C83C2211yescharacteristic
54C2×#101×C83C2211yescharacteristic
55C2×#101×C83C2211yescharacteristic
56C2×#100×C83C2211yescharacteristic
57C2×#100×C83C2211yescharacteristic
58C4×M16×C83C2211yescharacteristic
59#344×C83C2211yescharacteristic
60#344×C83C2211yescharacteristic
61#339×C83C2211yescharacteristic
62#338×C83C2211yescharacteristic
632−1+4×C83—22no—
642−1+4×C83—22no—
652−1+4×C83—41no—
662−1+4×C83—41no—
67C2×#41×C83—21no—
68C2×#41×C83—21no—
69C2×#41×C83—22no—
70C2×#41×C83C2311yescharacteristic
71C2×#41×C83C2311yescharacteristic
72C2×#41×C83C2311yescharacteristic
73C22×Q8×C83—21no—
74C22×Q8×C83—21no—
75C22×Q8×C83C2311yescharacteristic
76C22×D4×C83C2311yescharacteristic
77#137×C83—21no—
78#137×C83—21no—
79#137×C83—21no—
80#137×C83D412yes—
81AGL(1,ℤ/8)×C83—21no—
82AGL(1,ℤ/8)×C83—22no—
83AGL(1,ℤ/8)×C83—22no—
84AGL(1,ℤ/8)×C83—21no—
85AGL(1,ℤ/8)×C83—21no—
86AGL(1,ℤ/8)×C83—22no—
87AGL(1,ℤ/8)×C83—22no—
88AGL(1,ℤ/8)×C83—41no—
89AGL(1,ℤ/8)×C83—41no—
90AGL(1,ℤ/8)×C83D412yes—
91#135×C83—22no—
92#135×C83—41no—
93C2×SD16×C83—21no—
94C2×SD16×C83—21no—
95C2×SD16×C83—21no—
96C2×D8×C83—21no—
97C2×D8×C83—21no—
98C2×D8×C83—21no—
99#131×C83—22no—
100#131×C83—22no—
101#131×C83—22no—
102#131×C83—22no—
103#131×C83—41no—
104#131×C83—41no—
105C2×M16×C83—22no—
106C2×M16×C83—22no—
107C2×M16×C83—41no—
108C2×M16×C83C2311yescharacteristic
109C2×M16×C83C2311yescharacteristic
110C2×M16×C83C2311yescharacteristic
111C2×M16×C83C2311yescharacteristic
112C2×M16×C83C2311yescharacteristic
113C2×M16×C83C2311yescharacteristic
114C2×M16×C83C2311yescharacteristic
115C2×M16×C83C2311yescharacteristic
116C4⋊Q8×C83—21no—
117#124×C83—21no—
118#124×C83—21no—
119#124×C83—21no—
120#124×C83—41no—
121#123×C83—22no—
122C22⋊Q8×C83—41no—
123#117×C83C2311yescharacteristic
124C2×C22⋊C4×C83—22no—
125C2×C42×C83C2311yescharacteristic
126#108×C83—22no—
127#108×C83—22no—
128#108×C83—22no—
129C4⋊C8×C83—41no—
130#104×C83—22no—
131#104×C83—22no—
132#104×C83—21no—
133#104×C83—21no—
134#104×C83—21no—
135#104×C83—21no—
136#104×C83D412yes—
137#104×C83D412yes—
138#102×C83—41no—
139#101×C83—21no—
140#101×C83—21no—
141#101×C83—22no—
142#101×C83—22no—
143#101×C83—22no—
144#101×C83—22no—
145#101×C83D412yes—
146#100×C83—21no—
147#100×C83—21no—
148#100×C83—22no—
149#100×C83—22no—
150#100×C83D412yes—
151#97×C83—21no—
152C4×C8×C83—21no—
153C24×C83—21no—
154#41×C83—21no—
155#41×C83—21no—
156#41×C83—21no—
157#41×C83—21no—
158#41×C83—21no—
159#41×C83—21no—
160#41×C83—21no—
161#41×C83—21no—
162#41×C83—21no—
163#41×C83—21no—
164#41×C83—42no—
165#41×C83—42no—
166#41×C83—44no—
167#41×C83—44no—
168#41×C83—42no—
169#41×C83—42no—
170#41×C83C2×D412yes—
171#41×C83C2×D412yes—
172C2×Q8×C83—22no—
173C2×Q8×C83—21no—
174C2×Q8×C83—21no—
175C2×Q8×C83—21no—
176C2×Q8×C83—21no—
177C2×Q8×C83—21no—
178C2×Q8×C83—21no—
179C2×Q8×C83—42no—
180C2×Q8×C83—42no—
181C2×Q8×C83—42no—
182C2×Q8×C83—42no—
183C2×Q8×C83C2×D411yescharacteristic
184C2×Q8×C83C2×D411yescharacteristic
185C2×Q8×C83#4111yescharacteristic
186C2×D4×C83—21no—
187C2×D4×C83—22no—
188C2×D4×C83—21no—
189C2×D4×C83—21no—
190C2×D4×C83—21no—
191C2×D4×C83—21no—
192C2×D4×C83—21no—
193C2×D4×C83—21no—
194C2×D4×C83—21no—
195C2×D4×C83—21no—
196C2×D4×C83C2×D411yescharacteristic
197C2×D4×C83C2×D411yescharacteristic
198C2×D4×C83#4111yescharacteristic
199C22×C4×C83—21no—
200C22×C4×C83—22no—
201C22×C4×C83—22no—
202C22×C4×C83—21no—
203C22×C4×C83—21no—
204C22×C4×C83—21no—
205C22×C4×C83#4112yes—
206C22×C4×C83C2411yescharacteristic
207Q16×C83—22no—
208Q16×C83—41no—
209SD16×C83—22no—
210SD16×C83—22no—
211SD16×C83—42no—
212SD16×C83—42no—
213SD16×C83—41no—
214SD16×C83—41no—
215SD16×C83—42no—
216D8×C83—22no—
217D8×C83—42no—
218D8×C83—42no—
219D8×C83—41no—
220D8×C83—42no—
221M16×C83—21no—
222M16×C83—21no—
223M16×C83—21no—
224M16×C83—21no—
225M16×C83—21no—
226M16×C83—21no—
227M16×C83—21no—
228M16×C83—21no—
229M16×C83—21no—
230M16×C83—21no—
231M16×C83—21no—
232M16×C83—21no—
233M16×C83—42no—
234M16×C83—42no—
235M16×C83—42no—
236M16×C83C2×D412yes—
237M16×C83C2×D412yes—
238M16×C83C2×D412yes—
239M16×C83C2×D412yes—
240C2×C8×C83—21no—
241C2×C8×C83—21no—
242C2×C8×C83—21no—
243C2×C8×C83—21no—
244C2×C8×C83—21no—
245C2×C8×C83—21no—
246C2×C8×C83—21no—
247C2×C8×C83—21no—
248C2×C8×C83—42no—
249C2×C8×C83—42no—
250C2×C8×C83—42no—
251C4⋊C4×C83—21no—
252C4⋊C4×C83—42no—
253C22⋊C4×C83—21no—
254C22⋊C4×C83—42no—
255C22⋊C4×C83—42no—
256C22⋊C4×C83—42no—
257C42×C83—21no—
258C42×C83—21no—
259C42×C83C2×D411yescharacteristic
260C42×C83C2×D411yescharacteristic
261C23×C83—21no—
262C23×C83—21no—
263C23×C83—21no—
264C23×C83—41no—
265C23×C83—41no—
266C23×C83—41no—
267C23×C83—82no—
268C23×C83C2×#4111yescharacteristic
269Q8×C83—21no—
270Q8×C83—21no—
271Q8×C83—21no—
272Q8×C83—21no—
273Q8×C83—21no—
274Q8×C83—44no—
275Q8×C83—41no—
276Q8×C83—41no—
277Q8×C83—41no—
278Q8×C83—41no—
279Q8×C83#12112yes—
280D4×C83—22no—
281D4×C83—22no—
282D4×C83—21no—
283D4×C83—21no—
284D4×C83—21no—
285D4×C83—21no—
286D4×C83—21no—
287D4×C83—44no—
288D4×C83—41no—
289D4×C83—41no—
290D4×C83—41no—
291D4×C83—41no—
292D4×C83—41no—
293D4×C83—41no—
294D4×C83—41no—
295D4×C83—41no—
296D4×C83#12112yes—
297C2×C4×C83—21no—
298C2×C4×C83—22no—
299C2×C4×C83—22no—
300C2×C4×C83—21no—
301C2×C4×C83—22no—
302C2×C4×C83—21no—
303C2×C4×C83—21no—
304C2×C4×C83—22no—
305C2×C4×C83—22no—
306C2×C4×C83—21no—
307C2×C4×C83—44no—
308C2×C4×C83—44no—
309C2×C4×C83—41no—
310C2×C4×C83—41no—
311C2×C4×C83—41no—
312C2×C4×C83—41no—
313C2×C4×C83—41no—
314C2×C4×C83—81no—
315C2×C4×C83C22×D411yescharacteristic
316C2×C4×C83C22×D411yescharacteristic
317C2×C4×C83C22×D411yescharacteristic
318C2×C4×C83C2×#4111yescharacteristic
319C2×C4×C83H(5,𝔽2)11yescharacteristic
320C2×C4×C83H(5,𝔽2)11yescharacteristic
321C8×C83—22no—
322C8×C83—22no—
323C8×C83—22no—
324C8×C83—22no—
325C8×C83—41no—
326C8×C83—41no—
327C8×C83—41no—
328C8×C83—41no—
329C22×C83—22no—
330C22×C83—41no—
331C22×C83—41no—
332C22×C83—41no—
333C22×C83—81no—
334C22×C83—81no—
335C22×C83—81no—
336C22×C83—82no—
337C22×C83—81no—
338C22×C83—161no—
339C22×C83—161no—
340C22×C83#52511yescharacteristic
341C22×C83#54611yescharacteristic
342C22×C83#54611yescharacteristic
343C4×C83—22no—
344C4×C83—41no—
345C4×C83—41no—
346C4×C83—42no—
347C4×C83—41no—
348C4×C83—41no—
349C4×C83—81no—
350C4×C83C2×#12111yescharacteristic
351C4×C83#53811yescharacteristic
352C4×C83D4211yescharacteristic
353C4×C83D4211yescharacteristic
354#25197C8311yesmaximal, characteristic, direct product factor, Sylow
355C2×C83—21no—
356C2×C83—21no—
357C2×C83—21no—
358C2×C83—42no—
359C2×C83—81no—
360C2×C83—81no—
361C2×C83—161no—
362C2×C83#242411yescharacteristic
363#3068C2×C8311yescharacteristic, complemented
364#3068C2×C8311yescharacteristic, complemented
365#3020C2×C8311yescharacteristic, complemented
366C2×#454C2×C8311yescharacteristic, complemented
367#2956C2×C8311yescharacteristic, complemented
368#2889C2×C8311yescharacteristic, complemented
369#2070C2×C8311yescharacteristic, complemented
370#2050C2×C8311yescharacteristic, complemented
371#2048C2×C8311yescharacteristic, complemented
372#2003C2×C8311yescharacteristic, complemented
373#1967C2×C8311yescharacteristic, complemented
374#1932C2×C8311yescharacteristic, complemented
375#1915C2×C8311yescharacteristic, complemented
376#1903C2×C8311yescharacteristic, complemented
377#1861C2×C8311yescharacteristic, complemented
378C83#2519711yescharacteristic, direct product factor, Sylow
379C2×2−1+4C22×C8311yescharacteristic
380#575C22×C8311yescharacteristic
381#575C22×C8311yescharacteristic
382C2×AGL(1,ℤ/8)C22×C8311yescharacteristic
383C2×AGL(1,ℤ/8)C22×C8311yescharacteristic
384C2×AGL(1,ℤ/8)C22×C8311yescharacteristic
385#568C22×C8311yescharacteristic
386#568C22×C8311yescharacteristic
387#568C22×C8311yescharacteristic
388#536C22×C8311yescharacteristic
389C2×#124C22×C8311yescharacteristic
390#472—22no—
391#472—22no—
392#471—22no—
393#471—22no—
394#456—22no—
395#454—22no—
396#454—22no—
397#454—22no—
398#444—22no—
399#443—22no—
400#430C22×C8311yescharacteristic
401#430C22×C8311yescharacteristic
402#430C22×C8311yescharacteristic
403#423C22×C8311yescharacteristic
404#421C22×C8311yescharacteristic
405#421C22×C8311yescharacteristic
406C2×#104C22×C8311yescharacteristic
407C2×#104C22×C8311yescharacteristic
408C2×#104C22×C8311yescharacteristic
409#418C22×C8311yescharacteristic
410#413—22no—
411#413C22×C8311yescharacteristic
412#413C22×C8311yescharacteristic
413#413C22×C8311yescharacteristic
414C2×#101—22no—
415C2×#101C22×C8311yescharacteristic
416C2×#101C22×C8311yescharacteristic
417C2×#101C22×C8311yescharacteristic
418C2×#101C22×C8311yescharacteristic
419C2×#100C22×C8311yescharacteristic
420C2×#100C22×C8311yescharacteristic
421C4×M16C22×C8311yescharacteristic
422#344C22×C8311yescharacteristic
423#344C22×C8311yescharacteristic
424#339C22×C8311yescharacteristic
425#338C22×C8311yescharacteristic
4262−1+4—22no—
4272−1+4—22no—
4282−1+4—41no—
4292−1+4—41no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—22no—
433C2×#41C23×C8311yescharacteristic
434C2×#41C23×C8311yescharacteristic
435C2×#41C23×C8311yescharacteristic
436C22×Q8—21no—
437C22×Q8—21no—
438C22×Q8C23×C8311yescharacteristic
439C22×D4C23×C8311yescharacteristic
440#137—21no—
441#137—21no—
442#137—21no—
443#137D4×C8312yes—
444AGL(1,ℤ/8)—21no—
445AGL(1,ℤ/8)—22no—
446AGL(1,ℤ/8)—22no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)—21no—
449AGL(1,ℤ/8)—22no—
450AGL(1,ℤ/8)—22no—
451AGL(1,ℤ/8)—41no—
452AGL(1,ℤ/8)—41no—
453AGL(1,ℤ/8)D4×C8312yes—
454#135—22no—
455#135—41no—
456C2×SD16—21no—
457C2×SD16—21no—
458C2×SD16—21no—
459C2×D8—21no—
460C2×D8—21no—
461C2×D8—21no—
462#131—22no—
463#131—22no—
464#131—22no—
465#131—22no—
466#131—41no—
467#131—41no—
468C2×M16—22no—
469C2×M16—22no—
470C2×M16—41no—
471C2×M16C23×C8311yescharacteristic
472C2×M16C23×C8311yescharacteristic
473C2×M16C23×C8311yescharacteristic
474C2×M16C23×C8311yescharacteristic
475C2×M16C23×C8311yescharacteristic
476C2×M16C23×C8311yescharacteristic
477C2×M16C23×C8311yescharacteristic
478C2×M16C23×C8311yescharacteristic
479C4⋊Q8—21no—
480#124—21no—
481#124—21no—
482#124—21no—
483#124—41no—
484#123—22no—
485C22⋊Q8—41no—
486#117C23×C8311yescharacteristic
487C2×C22⋊C4—22no—
488C2×C42C23×C8311yescharacteristic
489#108—22no—
490#108—22no—
491#108—22no—
492C4⋊C8—41no—
493#104—22no—
494#104—22no—
495#104—21no—
496#104—21no—
497#104—21no—
498#104—21no—
499#104D4×C8312yes—
500#104D4×C8312yes—
501#102—41no—
502#101—21no—
503#101—21no—
504#101—22no—
505#101—22no—
506#101—22no—
507#101—22no—
508#101D4×C8312yes—
509#100—21no—
510#100—21no—
511#100—22no—
512#100—22no—
513#100D4×C8312yes—
514#97—21no—
515C4×C8—21no—
516C24—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—21no—
522#41—21no—
523#41—21no—
524#41—21no—
525#41—21no—
526#41—21no—
527#41—42no—
528#41—42no—
529#41—44no—
530#41—44no—
531#41—42no—
532#41—42no—
533#41C2×D4×C8312yes—
534#41C2×D4×C8312yes—
535C2×Q8—22no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—42no—
543C2×Q8—42no—
544C2×Q8—42no—
545C2×Q8—42no—
546C2×Q8C2×D4×C8311yescharacteristic
547C2×Q8C2×D4×C8311yescharacteristic
548C2×Q8#41×C8311yescharacteristic
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4C2×D4×C8311yescharacteristic
560C2×D4C2×D4×C8311yescharacteristic
561C2×D4#41×C8311yescharacteristic
562C22×C4—21no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4#41×C8312yes—
569C22×C4C24×C8311yescharacteristic
570Q16—22no—
571Q16—41no—
572SD16—22no—
573SD16—22no—
574SD16—42no—
575SD16—42no—
576SD16—41no—
577SD16—41no—
578SD16—42no—
579D8—22no—
580D8—42no—
581D8—42no—
582D8—41no—
583D8—42no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—21no—
592M16—21no—
593M16—21no—
594M16—21no—
595M16—21no—
596M16—42no—
597M16—42no—
598M16—42no—
599M16C2×D4×C8312yes—
600M16C2×D4×C8312yes—
601M16C2×D4×C8312yes—
602M16C2×D4×C8312yes—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—42no—
612C2×C8—42no—
613C2×C8—42no—
614C4⋊C4—21no—
615C4⋊C4—42no—
616C22⋊C4—21no—
617C22⋊C4—42no—
618C22⋊C4—42no—
619C22⋊C4—42no—
620C42—21no—
621C42—21no—
622C42C2×D4×C8311yescharacteristic
623C42C2×D4×C8311yescharacteristic
624C23—21no—
625C23—21no—
626C23—21no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—82no—
631C23C2×#41×C8311yescharacteristic
632Q8—21no—
633Q8—21no—
634Q8—21no—
635Q8—21no—
636Q8—21no—
637Q8—44no—
638Q8—41no—
639Q8—41no—
640Q8—41no—
641Q8—41no—
642Q8#121×C8312yes—
643D4—22no—
644D4—22no—
645D4—21no—
646D4—21no—
647D4—21no—
648D4—21no—
649D4—21no—
650D4—44no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4#121×C8312yes—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—81no—
678C2×C4C22×D4×C8311yescharacteristic
679C2×C4C22×D4×C8311yescharacteristic
680C2×C4C22×D4×C8311yescharacteristic
681C2×C4C2×#41×C8311yescharacteristic
682C2×C4H(5,𝔽2)×C8311yescharacteristic
683C2×C4H(5,𝔽2)×C8311yescharacteristic
684C8—22no—
685C8—22no—
686C8—22no—
687C8—22no—
688C8—41no—
689C8—41no—
690C8—41no—
691C8—41no—
692C22—22no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—82no—
700C22—81no—
701C22—161no—
702C22—161no—
703C22#525×C8311yescharacteristic
704C22#546×C8311yescharacteristic
705C22#546×C8311yescharacteristic
706C4—22no—
707C4—41no—
708C4—41no—
709C4—42no—
710C4—41no—
711C4—41no—
712C4—81no—
713C4C2×#121×C8311yescharacteristic
714C4#538×C8311yescharacteristic
715C4D42×C8311yescharacteristic
716C4D42×C8311yescharacteristic
717C2—21no—
718C2—21no—
719C2—21no—
720C2—42no—
721C2—81no—
722C2—81no—
723C2—161no—
724C2C83×#242411yescharacteristic
subgroupG/H
center, socleC2×C83#2424
commutator, Frattini, cosocleC22×C4C24×C83
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C83 ◁ C22×C4×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3068C2semidirect
2. C83×#3068C2semidirect
3. C83×#3020C2semidirect
4. C2×#454×C83C2semidirect
5. C83×#2956C2semidirect
6. C83×#2889C2semidirect
7. C83×#2070C2semidirect
8. C83×#2050C2semidirect
9. C83×#2048C2semidirect
10. C83×#2003C2semidirect
11. C83×#1967C2semidirect
12. C83×#1932C2semidirect
13. C83×#1915C2semidirect
14. C83×#1903C2semidirect
15. C83×#1861C2semidirect
354. #25197C83direct (N × H)
363. #3068C2×C83semidirect
364. #3068C2×C83semidirect
365. #3020C2×C83semidirect
366. C2×#454C2×C83semidirect
367. #2956C2×C83semidirect
368. #2889C2×C83semidirect
369. #2070C2×C83semidirect
370. #2050C2×C83semidirect
371. #2048C2×C83semidirect
372. #2003C2×C83semidirect
373. #1967C2×C83semidirect
374. #1932C2×C83semidirect
375. #1915C2×C83semidirect
376. #1903C2×C83semidirect
377. #1861C2×C83semidirect
378. C83#25197direct (N × H)

Maximal subgroups

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

subgroupindex
C83×#30682
C83×#30202
C2×#454×C832
C83×#29562
C83×#28892
C83×#20702
C83×#20502
C83×#20482
C83×#20032
C83×#19672
C83×#19322
C83×#19152
C83×#19032
C83×#18612
#2519783