Finite Group Databasebeta

← C2×#24918733 #36276611

Subgroups — C2×#24918733 #36276611

Order 21248.

1678 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128329C211yesmaximal, characteristic
2C2×#19128313C211yesmaximal, characteristic
3#24918733C2116yesmaximal, direct product factor
4C2×#19128110C211yesmaximal, characteristic, complemented
5C2×#19128103C211yesmaximal, characteristic, complemented
6C2×#19128070C211yesmaximal, characteristic, complemented
7C2×#19128052C211yesmaximal, characteristic, complemented
8C2×#19128037C211yesmaximal, characteristic
9C2×#19128043C211yesmaximal, characteristic
10C2×#19128043C211yesmaximal, characteristic
11C2×#19128032C211yesmaximal, characteristic
12C2×#19128009C211yesmaximal, characteristic, complemented
13C2×#19128009C211yesmaximal, characteristic, complemented
14C2×#19127997C211yesmaximal, characteristic, complemented
15C2×#19127987C211yesmaximal, characteristic, complemented
16C2×#433×C83C211yesmaximal, characteristic
17#19128329—24no—
18#19128329C2218yes—
19#19128313—24no—
20#19128313C2218yes—
21C2×#14581792C2211yescharacteristic
22C2×#14581792C2211yescharacteristic
23C2×#14581792C2211yescharacteristic
24C2×#14581791—21no—
25C2×#14581785—21no—
26C2×#14581785—21no—
27C2×#14581784C2211yescharacteristic
28C2×#14581784C2211yescharacteristic
29C2×#14581784C2211yescharacteristic
30C2×#14581783—21no—
31C2×#14581782—21no—
32C2×#14581782—21no—
33C2×#14581771C2211yescharacteristic
34C2×#14581771C2211yescharacteristic
35C2×#14581769—21no—
36C2×#14581769—21no—
37C2×C4×Dic166C2211yescharacteristic
38C2×C4×Dic166C2211yescharacteristic
39C2×#14581751C2211yescharacteristic
40C22×C4⋊Dic83C2211yescharacteristic
41#19128110C2218yescomplemented
42#19128103C2218yescomplemented
43#19128070C2218yescomplemented
44#19128052C2218yescomplemented
45#19128043C2218yes—
46#19128043C2218yes—
47#19128037C2218yes—
48#19128032C2218yes—
49#19128009C2218yescomplemented
50#19128009C2218yescomplemented
51#19127997C2218yescomplemented
52#19127987C2218yescomplemented
53C2×#14581726C2211yescharacteristic
54C2×#14581726C2211yescharacteristic
55C2×#14581726C2211yescharacteristic
56C2×#14581726C2211yescharacteristic
57C2×#14581724C2211yescharacteristic
58C2×#14581724C2211yescharacteristic
59C2×#14581724C2211yescharacteristic
60C2×#14581724C2211yescharacteristic
61C2×#14581717C2211yescharacteristic
62C2×#14581717C2211yescharacteristic
63C2×#14581717C2211yescharacteristic
64C2×#14581717C2211yescharacteristic
65C2×#14581717C2211yescharacteristic
66C2×#14581717C2211yescharacteristic
67C2×#14581717C2211yescharacteristic
68C2×#14581717C2211yescharacteristic
69C2×#117×C83C2211yescharacteristic
70#433×C83C2218yes—
71C2×C4⋊C8×C83C2211yescharacteristic
72C2×C4⋊C8×C83C2211yescharacteristic
73C2×C22⋊C8×C83C2211yescharacteristic
74C2×C22⋊C8×C83C2211yescharacteristic
75C2×#97×C83C2211yescharacteristic
76C2×C4×C8×C83C2211yescharacteristic
77C22×Dic166—21no—
78C22×Dic166—21no—
79C22×Dic166C2311yescharacteristic
80C22×Dic166C2311yescharacteristic
81C23×Dic83—21no—
82#14581792—22no—
83#14581792—22no—
84#14581792—22no—
85#14581792C2314yes—
86#14581792C2314yes—
87#14581792C2314yes—
88#14581791—28no—
89#14581785—28no—
90#14581785—28no—
91#14581784—22no—
92#14581784—22no—
93#14581784—22no—
94#14581784C2314yes—
95#14581784C2314yes—
96#14581784C2314yes—
97#14581783—28no—
98#14581782—28no—
99#14581782—28no—
100#14581771—22no—
101#14581771—22no—
102#14581771C2314yes—
103#14581771C2314yes—
104#14581769—28no—
105#14581769—28no—
106C4×Dic166—22no—
107C4×Dic166—22no—
108C4×Dic166C2314yes—
109C4×Dic166C2314yes—
110#14581751—22no—
111#14581751C2314yes—
112C2×C4⋊Dic83—22no—
113C2×C4⋊Dic83—21no—
114C2×C4⋊Dic83—21no—
115C2×C4⋊Dic83—21no—
116C2×C4⋊Dic83—21no—
117C2×C4⋊Dic83—21no—
118C2×C4⋊Dic83C2314yes—
119C2×C4⋊Dic83C2311yescharacteristic
120C2×C4⋊Dic83C2311yescharacteristic
121C2×C4⋊Dic83C2311yescharacteristic
122C2×C4⋊Dic83C2311yescharacteristic
123C2×C4⋊Dic83C2311yescharacteristic
124C2×C4⋊Dic83C2311yescharacteristic
125C2×Dic83⋊C4—21no—
126C2×Dic83⋊C4—21no—
127C2×Dic83⋊C4—21no—
128C2×Dic83⋊C4—21no—
129C2×Dic83⋊C4—21no—
130C2×Dic83⋊C4—21no—
131C2×Dic83⋊C4—21no—
132C2×Dic83⋊C4—21no—
133C2×Dic83⋊C4—21no—
134C2×Dic83⋊C4—21no—
135C2×C22⋊Dic83—21no—
136C2×C22⋊Dic83—21no—
137C2×C22⋊Dic83—21no—
138C2×C4×Dic83—21no—
139C2×C4×Dic83—21no—
140C2×C4×Dic83—21no—
141#14581726C2314yes—
142#14581726C2314yes—
143#14581726C2314yes—
144#14581726C2314yes—
145#14581724C2314yes—
146#14581724C2314yes—
147#14581724C2314yes—
148#14581724C2314yes—
149#14581717C2314yes—
150#14581717C2314yes—
151#14581717C2314yes—
152#14581717C2314yes—
153#14581717C2314yes—
154#14581717C2314yes—
155#14581717C2314yes—
156#14581717C2314yes—
157C23×C4×C83C2311yescharacteristic
158C22×C8×C83C2311yescharacteristic
159C22×C8×C83C2311yescharacteristic
160C22×C8×C83C2311yescharacteristic
161C22×C8×C83C2311yescharacteristic
162#117×C83D414yes—
163#117×C83C2314yes—
164C2×C4⋊C4×C83D411yescharacteristic
165C2×C4⋊C4×C83D411yescharacteristic
166C2×C22⋊C4×C83D411yescharacteristic
167C2×C22⋊C4×C83D411yescharacteristic
168C2×C42×C83C2311yescharacteristic
169C2×C42×C83C2311yescharacteristic
170C4⋊C8×C83C2314yes—
171C4⋊C8×C83C2314yes—
172C22⋊C8×C83C2314yes—
173C22⋊C8×C83C2314yes—
174#97×C83C2314yes—
175C4×C8×C83C2314yes—
176C2×Dic166—22no—
177C2×Dic166—22no—
178C2×Dic166—22no—
179C2×Dic166—22no—
180C2×Dic166—21no—
181C2×Dic166—21no—
182C2×Dic166—24no—
183C2×Dic166—24no—
184C2×Dic166—82no—
185C2×Dic166—82no—
186C2×Dic166C2412yes—
187C2×Dic166C2412yes—
188C22×Dic83—21no—
189C22×Dic83—21no—
190C22×Dic83—21no—
191C22×Dic83—21no—
192C22×Dic83—21no—
193C22×Dic83—21no—
194C22×Dic83—21no—
195C22×Dic83—21no—
196C22×Dic83—24no—
197C22×Dic83—82no—
198C4⋊Dic83—24no—
199C4⋊Dic83—24no—
200C4⋊Dic83—21no—
201C4⋊Dic83—21no—
202C4⋊Dic83—24no—
203C4⋊Dic83—24no—
204C4⋊Dic83—24no—
205C4⋊Dic83—21no—
206C4⋊Dic83—21no—
207C4⋊Dic83—21no—
208C4⋊Dic83—21no—
209C4⋊Dic83C2412yes—
210C4⋊Dic83C2412yes—
211C4⋊Dic83C2412yes—
212C4⋊Dic83C2412yes—
213C4⋊Dic83C2412yes—
214C4⋊Dic83C2412yes—
215Dic83⋊C4—24no—
216Dic83⋊C4—24no—
217Dic83⋊C4—24no—
218Dic83⋊C4—24no—
219Dic83⋊C4—24no—
220Dic83⋊C4—24no—
221Dic83⋊C4—24no—
222Dic83⋊C4—24no—
223Dic83⋊C4—24no—
224Dic83⋊C4—24no—
225C22⋊Dic83—24no—
226C22⋊Dic83—24no—
227C22⋊Dic83—24no—
228C4×Dic83—24no—
229C4×Dic83—24no—
230C4×Dic83—24no—
231C24×C83C2×D411yescharacteristic
232C22×C4×C83—22no—
233C22×C4×C83—22no—
234C22×C4×C83C2×D412yes—
235C22×C4×C83C2×D411yescharacteristic
236C22×C4×C83C2×D411yescharacteristic
237C22×C4×C83C2×D411yescharacteristic
238C22×C4×C83C2×D411yescharacteristic
239C22×C4×C83C2×D411yescharacteristic
240C22×C4×C83C2412yes—
241C22×C4×C83C2411yescharacteristic
242C2×C8×C83—22no—
243C2×C8×C83—22no—
244C2×C8×C83—22no—
245C2×C8×C83—22no—
246C2×C8×C83C2412yes—
247C2×C8×C83C2412yes—
248C2×C8×C83C2412yes—
249C2×C8×C83C2412yes—
250C4⋊C4×C83C2×D414yes—
251C4⋊C4×C83C2×D414yes—
252C22⋊C4×C83C2×D414yes—
253C22⋊C4×C83C2×D414yes—
254C42×C83C2×D412yes—
255C42×C83C2×D412yes—
256C42×C83C2412yes—
257C42×C83C2412yes—
258C23×C83—22no—
259C23×C83—22no—
260C23×C83—22no—
261C23×C83C22×D412yes—
262C23×C83C22×D411yescharacteristic
263C2×C4×C83—22no—
264C2×C4×C83—22no—
265C2×C4×C83—22no—
266C2×C4×C83—22no—
267C2×C4×C83—22no—
268C2×C4×C83—24no—
269C2×C4×C83—22no—
270C2×C4×C83—22no—
271C2×C4×C83C22×D412yes—
272C2×C4×C83C22×D412yes—
273C2×C4×C83C22×D412yes—
274C2×C4×C83C22×D412yes—
275C2×C4×C83C22×D412yes—
276C2×C4×C83C22×D411yescharacteristic
277C2×C4×C832−1+412yes—
278C2×C4×C832−1+412yes—
279C2×C4×C83C2511yescharacteristic
280C2×Dic83—22no—
281C2×Dic83—22no—
282C2×Dic83—22no—
283C2×Dic83—22no—
284C2×Dic83—22no—
285C2×Dic83—22no—
286C2×Dic83—22no—
287C2×Dic83—22no—
288C2×Dic83—42no—
289C2×Dic83—42no—
290C2×Dic83—42no—
291C2×Dic83—42no—
292C2×Dic83—42no—
293C2×Dic83—42no—
294C2×Dic83—42no—
295C2×Dic83—42no—
296C2×Dic83—84no—
297Dic166—22no—
298Dic166—22no—
299Dic166—22no—
300Dic166—22no—
301Dic166—42no—
302Dic166—42no—
303Dic166—84no—
304Dic166—84no—
305C8×C83—22no—
306C8×C83—22no—
307C8×C83—22no—
308C8×C83—22no—
309C22×C83—22no—
310C22×C83—22no—
311C22×C83—22no—
312C22×C83—44no—
313C22×C83#53612yes—
314C22×C83#57712yes—
315C22×C83#57812yes—
316C22×C83C23×D411yescharacteristic
317C4×C83—22no—
318C4×C83—22no—
319C4×C83—22no—
320C4×C83—22no—
321C4×C83—22no—
322C4×C83#53612yes—
323C4×C83C2×2−1+411yescharacteristic
324C4×C83C2×2−1+411yescharacteristic
325Dic83—42no—
326Dic83—42no—
327Dic83—42no—
328Dic83—42no—
329Dic83—42no—
330Dic83—42no—
331Dic83—42no—
332Dic83—42no—
333C2×#3242—831nomaximal, Sylow
334C2×C83—42no—
335C2×C83#324214yescomplemented
336C2×C83C2×#53611yescharacteristic
337C2×C83C2×#57711yescharacteristic
338C2×C83C2×#57811yescharacteristic
339C2×#544—831no—
340C2×#541—831no—
341#3242—8316no—
342C2×#501—831no—
343C2×#499—831no—
344C2×#491—831no—
345C2×#487—831no—
346C2×#484—831no—
347C2×#485—831no—
348C2×#485—831no—
349C2×#483—831no—
350C2×#479—831no—
351C2×#479—831no—
352C2×#477—831no—
353C2×#475—831no—
354C2×#433D8311yescharacteristic
355C83C2×#324211yescharacteristic, complemented, Sylow
356#544—838no—
357#544—1664no—
358#541—838no—
359#541—1664no—
360C2×C4⋊Q8—831no—
361C2×C4⋊Q8—831no—
362C2×C4⋊Q8—831no—
363C2×C4⋊Q8—1661no—
364C2×#126—1661no—
365C2×#126—1661no—
366C2×#125—831no—
367C2×#125—831no—
368C2×#125—831no—
369C2×#125—1661no—
370C2×#125—1661no—
371C2×#125—1661no—
372C2×C22⋊Q8—831no—
373C2×C22⋊Q8—831no—
374C2×C22⋊Q8—1661no—
375C2×C22⋊Q8—1661no—
376C2×C4×Q8—831no—
377C2×C4×Q8—831no—
378C2×#117—831no—
379C2×#117C2×D8311yescharacteristic
380C22×C4⋊C4—831no—
381#501—838no—
382#499—838no—
383#491—838no—
384#487—838no—
385#485—838no—
386#485—838no—
387#484—838no—
388#483—838no—
389#479—838no—
390#479—838no—
391#477—838no—
392#475—838no—
393#433C2×D8318yes—
394C2×#107—831no—
395C2×#107—831no—
396C2×#107—831no—
397C2×#107—831no—
398C2×#106—831no—
399C2×#106—831no—
400C2×#106—831no—
401C2×#106—831no—
402C2×C4⋊C8C2×D8311yescharacteristic
403C2×C4⋊C8C2×D8311yescharacteristic
404C2×#103—831no—
405C2×#103—831no—
406C2×#103—831no—
407C2×#103—831no—
408C2×#103—831no—
409C2×#103—831no—
410C2×#103—831no—
411C2×#103—831no—
412C2×C22⋊C8C2×D8311yescharacteristic
413C2×C22⋊C8C2×D8311yescharacteristic
414C2×#97C2×D8311yescharacteristic
415C2×C4×C8C2×D8311yescharacteristic
416C22×Q8—831no—
417C22×Q8—831no—
418C22×Q8—1661no—
419C22×Q8—1661no—
420C23×C4—1661no—
421C23×C4C22×D8311yescharacteristic
422C22×C8C22×D8311yescharacteristic
423C22×C8C22×D8311yescharacteristic
424C22×C8C22×D8311yescharacteristic
425C22×C8C22×D8311yescharacteristic
426C4⋊Q8—834no—
427C4⋊Q8—834no—
428C4⋊Q8—834no—
429C4⋊Q8—1668no—
430C4⋊Q8—1662no—
431C4⋊Q8—1662no—
432C4⋊Q8—1662no—
433#126—1668no—
434#126—1668no—
435#125—834no—
436#125—834no—
437#125—834no—
438#125—1668no—
439#125—1668no—
440#125—1668no—
441#125—1662no—
442#125—1662no—
443#125—1662no—
444C22⋊Q8—834no—
445C22⋊Q8—834no—
446C22⋊Q8—1662no—
447C22⋊Q8—1662no—
448C22⋊Q8—1668no—
449C22⋊Q8—1668no—
450C4×Q8—834no—
451C4×Q8—834no—
452C4×Q8—1662no—
453C4×Q8—1662no—
454#117—834no—
455#117—1662no—
456#117D33214yes—
457#117C22×D8314yes—
458C2×C4⋊C4—831no—
459C2×C4⋊C4—831no—
460C2×C4⋊C4—834no—
461C2×C4⋊C4—831no—
462C2×C4⋊C4—831no—
463C2×C4⋊C4—831no—
464C2×C4⋊C4—831no—
465C2×C4⋊C4—1661no—
466C2×C4⋊C4—1662no—
467C2×C4⋊C4—1661no—
468C2×C4⋊C4—1661no—
469C2×C4⋊C4—1661no—
470C2×C4⋊C4—1661no—
471C2×C4⋊C4—1661no—
472C2×C4⋊C4—1661no—
473C2×C4⋊C4—1661no—
474C2×C4⋊C4—1661no—
475C2×C4⋊C4—1661no—
476C2×C4⋊C4—1661no—
477C2×C4⋊C4—1661no—
478C2×C4⋊C4—1661no—
479C2×C4⋊C4—1661no—
480C2×C4⋊C4—1661no—
481C2×C4⋊C4D33211yescharacteristic
482C2×C4⋊C4D33211yescharacteristic
483C2×C22⋊C4—1661no—
484C2×C22⋊C4—1661no—
485C2×C22⋊C4—1661no—
486C2×C22⋊C4D33211yescharacteristic
487C2×C22⋊C4D33211yescharacteristic
488C2×C42—1661no—
489C2×C42—1661no—
490C2×C42—1661no—
491C2×C42C22×D8311yescharacteristic
492C2×C42C22×D8311yescharacteristic
493#107—834no—
494#107—834no—
495#107—834no—
496#107—834no—
497#106—834no—
498#106—834no—
499#106—834no—
500#106—834no—
501C4⋊C8C22×D8314yes—
502C4⋊C8C22×D8314yes—
503#103—834no—
504#103—834no—
505#103—834no—
506#103—834no—
507#103—834no—
508#103—834no—
509#103—834no—
510#103—834no—
511C22⋊C8C22×D8314yes—
512C22⋊C8C22×D8314yes—
513#97C22×D8314yes—
514C4×C8C22×D8314yes—
515C24C2×D33211yescharacteristic
516C2×Q8—832no—
517C2×Q8—832no—
518C2×Q8—6642no—
519C2×Q8—6642no—
520C2×Q8—1662no—
521C2×Q8—1662no—
522C2×Q8—1662no—
523C2×Q8—1662no—
524C2×Q8—1661no—
525C2×Q8—1661no—
526C2×Q8—1664no—
527C2×Q8—1664no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—6642no—
531C22×C4—1661no—
532C22×C4—1661no—
533C22×C4—1661no—
534C22×C4—1661no—
535C22×C4—1661no—
536C22×C4—1661no—
537C22×C4—1661no—
538C22×C4—1661no—
539C22×C4—1664no—
540C22×C4C2×D33212yes—
541C22×C4C2×D33211yescharacteristic
542C22×C4C2×D33211yescharacteristic
543C22×C4C2×D33211yescharacteristic
544C22×C4C2×D33211yescharacteristic
545C22×C4C2×D33211yescharacteristic
546C22×C4C23×D8312yes—
547C22×C4C23×D8311yescharacteristic
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8C23×D8312yes—
553C2×C8C23×D8312yes—
554C2×C8C23×D8312yes—
555C2×C8C23×D8312yes—
556C4⋊C4—832no—
557C4⋊C4—832no—
558C4⋊C4—832no—
559C4⋊C4—832no—
560C4⋊C4—832no—
561C4⋊C4—832no—
562C4⋊C4—1664no—
563C4⋊C4—1661no—
564C4⋊C4—1661no—
565C4⋊C4—1661no—
566C4⋊C4—1661no—
567C4⋊C4—1661no—
568C4⋊C4—1661no—
569C4⋊C4—1664no—
570C4⋊C4—1664no—
571C4⋊C4—1664no—
572C4⋊C4—1664no—
573C4⋊C4—1664no—
574C4⋊C4—1664no—
575C4⋊C4—1664no—
576C4⋊C4—1664no—
577C4⋊C4—1664no—
578C4⋊C4—1664no—
579C4⋊C4—1664no—
580C4⋊C4—1664no—
581C4⋊C4—1664no—
582C4⋊C4—1664no—
583C4⋊C4C2×D33214yes—
584C4⋊C4C2×D33214yes—
585C22⋊C4—1664no—
586C22⋊C4—1664no—
587C22⋊C4—1664no—
588C22⋊C4C2×D33214yes—
589C22⋊C4C2×D33214yes—
590C42—1664no—
591C42—1664no—
592C42—1664no—
593C42C2×D33212yes—
594C42C2×D33212yes—
595C42C23×D8312yes—
596C42C23×D8312yes—
597C23—22no—
598C23—22no—
599C23—22no—
600C23C22×D33212yes—
601C23C22×D33211yescharacteristic
602Q8—3322no—
603Q8—3322no—
604Q8—6644no—
605Q8—6644no—
606Q8—1662no—
607Q8—1662no—
608Q8—1662no—
609Q8—1662no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—3322no—
619C2×C4—3322no—
620C2×C4—3322no—
621C2×C4—3322no—
622C2×C4—3322no—
623C2×C4—3322no—
624C2×C4—3322no—
625C2×C4—3322no—
626C2×C4—6644no—
627C2×C4—1662no—
628C2×C4—1662no—
629C2×C4—1662no—
630C2×C4—1662no—
631C2×C4—1662no—
632C2×C4—1662no—
633C2×C4—1662no—
634C2×C4—1662no—
635C2×C4C22×D33212yes—
636C2×C4C22×D33212yes—
637C2×C4C22×D33212yes—
638C2×C4C22×D33212yes—
639C2×C4C22×D33212yes—
640C2×C4C22×D33211yescharacteristic
641C2×C4#1458183912yes—
642C2×C4#1458183912yes—
643C2×C4C24×D8311yescharacteristic
644C8—22no—
645C8—22no—
646C8—22no—
647C8—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—44no—
652C22#1912827712yes—
653C22#1912851312yes—
654C22#1912851812yes—
655C22C23×D33211yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—22no—
660C4—22no—
661C4—3322no—
662C4—3322no—
663C4—3322no—
664C4—3322no—
665C4—3322no—
666C4—3322no—
667C4—3322no—
668C4—3322no—
669C4#1912827712yes—
670C4C2×#1458183911yescharacteristic
671C4C2×#1458183911yescharacteristic
672C2—42no—
673C2#2491873314yesdirect product factor
674C2C2×#1912827711yescharacteristic
675C2C2×#1912851311yescharacteristic
676C2C2×#1912851811yescharacteristic
subgroupG/H
centerC23C22×D332
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×#433×C83C2
socleC23×C83C22×D4
prime radicalC24×C83C2×D4
hypercenterC2×#433D83
hypocenterC83C2×#3242
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
3. #24918733C2direct (N × H)
4. C2×#19128110C2semidirect
5. C2×#19128103C2semidirect
6. C2×#19128070C2semidirect
7. C2×#19128052C2semidirect
12. C2×#19128009C2semidirect
13. C2×#19128009C2semidirect
14. C2×#19127997C2semidirect
15. C2×#19127987C2semidirect
41. #19128110C22semidirect
42. #19128103C22semidirect
43. #19128070C22semidirect
44. #19128052C22semidirect
49. #19128009C22semidirect
50. #19128009C22semidirect
51. #19127997C22semidirect
52. #19127987C22semidirect
335. C2×C83#3242semidirect
355. C83C2×#3242semidirect
673. C2#24918733direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191283292
C2×#191283132
#249187332
C2×#191281102
C2×#191281032
C2×#191280702
C2×#191280522
C2×#191280372
C2×#191280432
C2×#191280322
C2×#191280092
C2×#191279972
C2×#191279872
C2×#433×C832
C2×#324283