Finite Group Databasebeta

← C2×#24918708 #36276570

Subgroups — C2×#24918708 #36276570

Order 21248.

1790 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
1C2×#19128257C211yesmaximal, characteristic, complemented
2C2×#19128238C211yesmaximal, characteristic
3#24918708C2116yesmaximal, direct product factor
4C2×#19128109C211yesmaximal, characteristic, complemented
5C2×#19128108C211yesmaximal, characteristic, complemented
6C2×#19128062C211yesmaximal, characteristic, complemented
7C2×#19128062C211yesmaximal, characteristic, complemented
8C2×#19128041C211yesmaximal, characteristic, complemented
9C2×#19128040C211yesmaximal, characteristic, complemented
10C2×#19128028C211yesmaximal, characteristic
11C2×#19128027C211yesmaximal, characteristic
12C2×#19128008C211yesmaximal, characteristic, complemented
13C2×#19128002C211yesmaximal, characteristic, complemented
14C2×#19127998C211yesmaximal, characteristic, complemented
15C2×#19127757C211yesmaximal, characteristic, complemented
16C2×#479×C83C211yesmaximal, characteristic, complemented
17#19128257—24no—
18#19128257C2218yescomplemented
19C2×#14581791C2211yescharacteristic
20C2×#14581791C2211yescharacteristic
21#19128238—24no—
22#19128238C2218yes—
23C2×#14581787—21no—
24C2×#14581784C2211yescharacteristic
25C2×#14581783C2211yescharacteristic
26C2×#14581781C2211yescharacteristic
27C2×#14581777—21no—
28C2×#14581770—21no—
29C2×#14581770—21no—
30C2×#14581768C2211yescharacteristic
31C2×#14581767C2211yescharacteristic
32C2×#14581757—21no—
33C2×#14581757—21no—
34C2×C4×D332—21no—
35C2×C4×D332C2211yescharacteristic
36C2×#14581750C2211yescharacteristic
37C2×#14581750C2211yescharacteristic
38C2×#14581749—21no—
39C2×C42×D83C2211yescharacteristic
40#19128109C2218yescomplemented
41#19128108C2218yescomplemented
42#19128062C2218yescomplemented
43#19128062C2218yescomplemented
44#19128041C2218yescomplemented
45#19128040C2218yescomplemented
46#19128028C2218yes—
47#19128027C2218yes—
48#19128008C2218yescomplemented
49#19128002C2218yescomplemented
50#19127998C2218yescomplemented
51#19127757C2218yescomplemented
52C2×#14581726C2211yescharacteristic
53C2×#14581725C2211yescharacteristic
54C2×#14581725C2211yescharacteristic
55C2×#14581724C2211yescharacteristic
56C2×#14581723C2211yescharacteristic
57C2×#14581723C2211yescharacteristic
58C2×C4⋊(C83⋊C8)C2211yescharacteristic
59C2×#14581716C2211yescharacteristic
60C2×#14581716C2211yescharacteristic
61C2×#14581714C2211yescharacteristic
62C2×#14581714C2211yescharacteristic
63C2×#14581712C2211yescharacteristic
64C2×#14581712C2211yescharacteristic
65C2×(C2×D83)⋊C8C2211yescharacteristic
66C2×(C2×D83)⋊C8C2211yescharacteristic
67C2×#14581702C2211yescharacteristic
68C2×#14581702C2211yescharacteristic
69C2×#125×C83C2211yescharacteristic
70C2×C4×Q8×C83C2211yescharacteristic
71#479×C83C2218yescomplemented
72C2×#107×C83C2211yescharacteristic
73C2×#106×C83C2211yescharacteristic
74C2×C4⋊C8×C83C2211yescharacteristic
75C2×#103×C83C2211yescharacteristic
76C2×#103×C83C2211yescharacteristic
77C22×Dic166—21no—
78C22×Dic166—21no—
79C22×D332—21no—
80C22×D332C2311yescharacteristic
81C22×C4×D83—21no—
82C22×C4×D83D411yescharacteristic
83C22×C4×D83D411yescharacteristic
84C22×C4×D83C2311yescharacteristic
85C22×C83⋊C8C2311yescharacteristic
86C22×C83⋊C8C2311yescharacteristic
87#14581791—22no—
88#14581791—22no—
89#14581791C2314yes—
90#14581791C2314yes—
91#14581787—28no—
92#14581784—22no—
93#14581784C2314yes—
94#14581783—22no—
95#14581783C2314yes—
96#14581781—22no—
97#14581781C2314yes—
98#14581777—28no—
99#14581770—28no—
100#14581770—28no—
101#14581768—22no—
102#14581768C2314yes—
103#14581767—22no—
104#14581767C2314yes—
105#14581757—28no—
106#14581757—28no—
107C4×D332—28no—
108C4×D332—22no—
109C4×D332C2314yes—
110#14581750—22no—
111#14581750—22no—
112#14581750C2314yes—
113#14581750C2314yes—
114#14581749—28no—
115C2×C4⋊Dic83—21no—
116C2×C4⋊Dic83C2311yescharacteristic
117C2×C4⋊Dic83C2311yescharacteristic
118C2×C4⋊Dic83C2311yescharacteristic
119C2×Dic83⋊C4—21no—
120C2×Dic83⋊C4—21no—
121C2×Dic83⋊C4—21no—
122C2×Dic83⋊C4—21no—
123C2×Dic83⋊C4—21no—
124C2×Dic83⋊C4—21no—
125C2×(C2×D83)⋊C4—21no—
126C2×(C2×D83)⋊C4—21no—
127C2×(C2×D83)⋊C4—21no—
128C2×(C2×D83)⋊C4—21no—
129C2×(C2×D83)⋊C4—21no—
130C2×(C2×D83)⋊C4—21no—
131C2×(C2×D83)⋊C4—21no—
132C2×C4×Dic83—21no—
133C2×C4×Dic83—21no—
134C2×C4×Dic83D411yescharacteristic
135C2×C4×Dic83D411yescharacteristic
136C2×C4×Dic83C2311yescharacteristic
137C42×D83D414yes—
138C42×D83C2314yes—
139#14581726C2314yes—
140#14581725C2314yes—
141#14581725C2314yes—
142#14581724C2314yes—
143#14581723C2314yes—
144#14581723C2314yes—
145C4⋊(C83⋊C8)C2314yes—
146#14581716C2314yes—
147#14581716C2314yes—
148#14581714C2314yes—
149#14581714C2314yes—
150#14581712C2314yes—
151#14581712C2314yes—
152(C2×D83)⋊C8C2314yes—
153(C2×D83)⋊C8C2314yes—
154#14581702C2314yes—
155#14581702C2314yes—
156C22×Q8×C83C2311yescharacteristic
157C22×C8×C83C2311yescharacteristic
158C22×C8×C83C2311yescharacteristic
159#125×C83—22no—
160#125×C83C2314yes—
161C4×Q8×C83—22no—
162C4×Q8×C83C2314yes—
163C2×C4⋊C4×C83—21no—
164C2×C4⋊C4×C83—21no—
165C2×C4⋊C4×C83—21no—
166C2×C4⋊C4×C83C2311yescharacteristic
167C2×C4⋊C4×C83C2311yescharacteristic
168C2×C4⋊C4×C83C2311yescharacteristic
169C2×C42×C83—21no—
170C2×C42×C83C2311yescharacteristic
171#107×C83C2314yes—
172#106×C83C2314yes—
173C4⋊C8×C83C2314yes—
174#103×C83C2314yes—
175#103×C83C2314yes—
176C23×D83—21no—
177C23×D83C2×D411yescharacteristic
178C2×Dic166—24no—
179C2×Dic166—24no—
180C2×Dic166—44no—
181C2×Dic166—44no—
182C2×D332—22no—
183C2×D332—22no—
184C2×D332—24no—
185C2×D332—21no—
186C2×D332—44no—
187C2×D332C2412yes—
188C22×Dic83—21no—
189C22×Dic83—21no—
190C22×Dic83—21no—
191C22×Dic83C2×D411yescharacteristic
192C22×Dic83C2×D411yescharacteristic
193C22×Dic83C2×D411yescharacteristic
194C2×C4×D83—22no—
195C2×C4×D83—22no—
196C2×C4×D83—24no—
197C2×C4×D83—42no—
198C2×C4×D83—42no—
199C2×C4×D83—44no—
200C2×C4×D83C2×D412yes—
201C2×C4×D83C2×D414yes—
202C2×C4×D83C2×D414yes—
203C2×C4×D83C2412yes—
204C2×C83⋊C8—22no—
205C2×C83⋊C8—22no—
206C2×C83⋊C8C2412yes—
207C2×C83⋊C8C2412yes—
208C4⋊Dic83—21no—
209C4⋊Dic83—21no—
210C4⋊Dic83—21no—
211C4⋊Dic83—24no—
212C4⋊Dic83C2412yes—
213C4⋊Dic83C2412yes—
214C4⋊Dic83C2412yes—
215Dic83⋊C4—24no—
216Dic83⋊C4—24no—
217Dic83⋊C4—24no—
218Dic83⋊C4—24no—
219Dic83⋊C4—24no—
220Dic83⋊C4—24no—
221(C2×D83)⋊C4—24no—
222(C2×D83)⋊C4—24no—
223(C2×D83)⋊C4—24no—
224(C2×D83)⋊C4—24no—
225(C2×D83)⋊C4—24no—
226(C2×D83)⋊C4—24no—
227(C2×D83)⋊C4—24no—
228C4×Dic83—24no—
229C4×Dic83—24no—
230C4×Dic83C2×D412yes—
231C4×Dic83C2×D414yes—
232C4×Dic83C2×D414yes—
233C4×Dic83C2412yes—
234C2×Q8×C83—21no—
235C2×Q8×C83—22no—
236C2×Q8×C83—22no—
237C2×Q8×C83C2412yes—
238C22×C4×C83—21no—
239C22×C4×C83—21no—
240C22×C4×C83—21no—
241C22×C4×C83—21no—
242C22×C4×C83C2×D411yescharacteristic
243C22×C4×C83C2×D411yescharacteristic
244C22×C4×C83C2411yescharacteristic
245C2×C8×C83—22no—
246C2×C8×C83—22no—
247C2×C8×C83C2412yes—
248C2×C8×C83C2412yes—
249C4⋊C4×C83—21no—
250C4⋊C4×C83—24no—
251C4⋊C4×C83—24no—
252C4⋊C4×C83—24no—
253C4⋊C4×C83—21no—
254C4⋊C4×C83—21no—
255C4⋊C4×C83C2412yes—
256C4⋊C4×C83C2412yes—
257C4⋊C4×C83C2412yes—
258C42×C83—24no—
259C42×C83C2×D412yes—
260C42×C83C2412yes—
261C23×C83C22×D411yescharacteristic
262C22×D83—22no—
263C22×D83—22no—
264C22×D83—22no—
265C22×D83—22no—
266C22×D83—42no—
267C22×D83—42no—
268C22×D83—42no—
269C22×D83C22×D412yes—
270Q8×C83—22no—
271Q8×C83—22no—
272Q8×C83—42no—
273C2×C4×C83—22no—
274C2×C4×C83—22no—
275C2×C4×C83—22no—
276C2×C4×C83—22no—
277C2×C4×C83—22no—
278C2×C4×C83—22no—
279C2×C4×C83—42no—
280C2×C4×C83—42no—
281C2×C4×C83—42no—
282C2×C4×C83—42no—
283C2×C4×C83C22×D412yes—
284C2×C4×C83C22×D412yes—
285C2×C4×C83C22×D411yescharacteristic
286C2×C4×C832−1+412yes—
287C2×C4×C832−1+412yes—
288C2×C4×C83C2511yescharacteristic
289C2×Dic83—22no—
290C2×Dic83—22no—
291C2×Dic83—22no—
292C2×Dic83—22no—
293C2×Dic83—22no—
294C2×Dic83—22no—
295C2×Dic83—42no—
296C2×Dic83—42no—
297C2×Dic83—42no—
298C2×Dic83C22×D412yes—
299C2×Dic83C22×D412yes—
300C2×Dic83C22×D412yes—
301D332—22no—
302D332—22no—
303D332—48no—
304D332—42no—
305C4×D83—24no—
306C4×D83—22no—
307C4×D83—22no—
308C4×D83—44no—
309C4×D83—44no—
310C4×D83—48no—
311Dic166—48no—
312Dic166—48no—
313C8×C83—22no—
314C8×C83—22no—
315C83⋊C8—22no—
316C83⋊C8—22no—
317C22×C83#53612yes—
318C22×C83#57512yes—
319C22×C83#57512yes—
320C22×C83C23×D411yescharacteristic
321C2×D83—22no—
322C2×D83—22no—
323C2×D83—22no—
324C2×D83—44no—
325C2×D83—42no—
326C2×D83—42no—
327C2×D83—42no—
328C2×D83—84no—
329C4×C83—22no—
330C4×C83—22no—
331C4×C83—42no—
332C4×C83—42no—
333C4×C83—42no—
334C4×C83—42no—
335C4×C83#53612yes—
336C4×C83C2×2−1+411yescharacteristic
337C4×C83C2×2−1+411yescharacteristic
338Dic83—22no—
339Dic83—22no—
340Dic83—22no—
341Dic83—42no—
342Dic83—42no—
343Dic83—42no—
344C2×#3240—831nomaximal, Sylow
345C2×C83#324014yescomplemented
346C2×C83C2×#53611yescharacteristic
347C2×C83C2×#57511yescharacteristic
348C2×C83C2×#57511yescharacteristic
349D83—42no—
350D83—82no—
351C2×#533—831no—
352C2×#529—831no—
353#3240—8316no—
354C2×#501—831no—
355C2×#501—831no—
356C2×#489—831no—
357C2×#489—831no—
358C2×#485—831no—
359C2×#485—831no—
360C2×#482—831no—
361C2×#482—831no—
362C2×#479—831no—
363C2×#479D8311yescharacteristic, complemented
364C2×#478—831no—
365C2×#478—831no—
366C2×#432—831no—
367C83C2×#324011yescharacteristic, complemented, Sylow
368#533—838no—
369#533—1664no—
370C2×C4⋊Q8—831no—
371C2×C4⋊Q8—831no—
372#529—838no—
373#529—1664no—
374C2×#126—1661no—
375C2×#125—831no—
376C2×#125—831no—
377C2×#125C2×D8311yescharacteristic
378C2×#124—831no—
379C2×#123—1661no—
380C2×C22⋊Q8—831no—
381C2×C22⋊Q8—1661no—
382C2×C22⋊Q8—1661no—
383C2×#121—831no—
384C2×C4×Q8—1661no—
385C2×C4×Q8—1661no—
386C2×C4×Q8C2×D8311yescharacteristic
387C2×C4×D4—831no—
388C2×C4×D4—1661no—
389C2×#117—831no—
390C2×#117—831no—
391C2×#117—1661no—
392C22×C42—831no—
393#501—838no—
394#501—838no—
395#489—838no—
396#489—838no—
397#485—838no—
398#485—838no—
399#482—838no—
400#482—838no—
401#479—838no—
402#479C2×D8318yescomplemented
403#478—838no—
404#478—838no—
405#432—838no—
406C2×#107—831no—
407C2×#107—831no—
408C2×#107—831no—
409C2×#107C2×D8311yescharacteristic
410C2×#106—831no—
411C2×#106—831no—
412C2×#106—831no—
413C2×#106C2×D8311yescharacteristic
414C2×C4⋊C8—831no—
415C2×C4⋊C8C2×D8311yescharacteristic
416C2×#103—831no—
417C2×#103—831no—
418C2×#103C2×D8311yescharacteristic
419C2×#103C2×D8311yescharacteristic
420C2×#102—831no—
421C2×#102—831no—
422C2×#102—831no—
423C2×#102—831no—
424C2×C22⋊C8—831no—
425C2×C22⋊C8—831no—
426C2×#97—831no—
427C2×#97—831no—
428C22×Q8—1661no—
429C22×Q8—1661no—
430C22×Q8C22×D8311yescharacteristic
431C22×D4—831no—
432C22×D4—1661no—
433C23×C4—831no—
434C23×C4—831no—
435C23×C4—831no—
436C23×C4—1661no—
437C22×C8—831no—
438C22×C8—831no—
439C22×C8C22×D8311yescharacteristic
440C22×C8C22×D8311yescharacteristic
441C4⋊Q8—834no—
442C4⋊Q8—834no—
443C4⋊Q8—1662no—
444C4⋊Q8—1662no—
445#126—1668no—
446#125—22no—
447#125—834no—
448#125—834no—
449#125—1662no—
450#125—1662no—
451#125C22×D8314yes—
452#124—834no—
453#124—1662no—
454#123—1668no—
455C22⋊Q8—834no—
456C22⋊Q8—1668no—
457C22⋊Q8—1668no—
458C22⋊Q8—1662no—
459#121—834no—
460#121—1662no—
461C4×Q8—22no—
462C4×Q8—1668no—
463C4×Q8—1668no—
464C4×Q8C22×D8314yes—
465C4×D4—834no—
466C4×D4—1668no—
467C4×D4—1662no—
468#117—834no—
469#117—834no—
470#117—1668no—
471#117—1662no—
472#117—1662no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—831no—
477C2×C4⋊C4—831no—
478C2×C4⋊C4—831no—
479C2×C4⋊C4—1661no—
480C2×C4⋊C4—1661no—
481C2×C4⋊C4—1661no—
482C2×C4⋊C4—1661no—
483C2×C4⋊C4—1661no—
484C2×C4⋊C4—1661no—
485C2×C4⋊C4—1661no—
486C2×C4⋊C4C22×D8311yescharacteristic
487C2×C4⋊C4C22×D8311yescharacteristic
488C2×C4⋊C4C22×D8311yescharacteristic
489C2×C22⋊C4—1661no—
490C2×C22⋊C4—1661no—
491C2×C22⋊C4—1661no—
492C2×C22⋊C4—1661no—
493C2×C22⋊C4—1661no—
494C2×C22⋊C4—1661no—
495C2×C22⋊C4—1661no—
496C2×C42—21no—
497C2×C42—831no—
498C2×C42—831no—
499C2×C42—831no—
500C2×C42—834no—
501C2×C42—834no—
502C2×C42—1661no—
503C2×C42—1661no—
504C2×C42C22×D8311yescharacteristic
505#107—834no—
506#107—834no—
507#107—834no—
508#107C22×D8314yes—
509#106—834no—
510#106—834no—
511#106—834no—
512#106C22×D8314yes—
513C4⋊C8—834no—
514C4⋊C8C22×D8314yes—
515#103—834no—
516#103—834no—
517#103C22×D8314yes—
518#103C22×D8314yes—
519#102—834no—
520#102—834no—
521#102—834no—
522#102—834no—
523C22⋊C8—834no—
524C22⋊C8—834no—
525#97—834no—
526#97—834no—
527C24—831no—
528C24—1661no—
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—3324no—
533C2×Q8—3324no—
534C2×Q8—1664no—
535C2×Q8—1664no—
536C2×Q8C23×D8312yes—
537C2×D4—3324no—
538C2×D4—832no—
539C2×D4—1664no—
540C2×D4—1661no—
541C2×D4—1662no—
542C2×D4—1662no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—3324no—
548C22×C4—3322no—
549C22×C4—3322no—
550C22×C4—834no—
551C22×C4—834no—
552C22×C4—831no—
553C22×C4—831no—
554C22×C4—831no—
555C22×C4—832no—
556C22×C4—832no—
557C22×C4—1661no—
558C22×C4—1661no—
559C22×C4—1661no—
560C22×C4—1664no—
561C22×C4—1662no—
562C22×C4—1662no—
563C22×C4D4×D8311yescharacteristic
564C22×C4D4×D8311yescharacteristic
565C22×C4C23×D8311yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—832no—
569C2×C8—832no—
570C2×C8—1662no—
571C2×C8—1662no—
572C2×C8C23×D8312yes—
573C2×C8C23×D8312yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—832no—
581C4⋊C4—832no—
582C4⋊C4—832no—
583C4⋊C4—1664no—
584C4⋊C4—1664no—
585C4⋊C4—1664no—
586C4⋊C4—1664no—
587C4⋊C4—1664no—
588C4⋊C4—1661no—
589C4⋊C4—1661no—
590C4⋊C4—1661no—
591C4⋊C4—1664no—
592C4⋊C4—1664no—
593C4⋊C4C23×D8312yes—
594C4⋊C4C23×D8312yes—
595C4⋊C4C23×D8312yes—
596C22⋊C4—1664no—
597C22⋊C4—1664no—
598C22⋊C4—1664no—
599C22⋊C4—1664no—
600C22⋊C4—1664no—
601C22⋊C4—1664no—
602C22⋊C4—1664no—
603C42—24no—
604C42—834no—
605C42—834no—
606C42—832no—
607C42—832no—
608C42—1664no—
609C42—1664no—
610C42D4×D8312yes—
611C42C23×D8312yes—
612C23—3322no—
613C23—3322no—
614C23—3322no—
615C23—832no—
616C23—1662no—
617C23—1662no—
618C23—1662no—
619C23—1662no—
620C23C2×D4×D8311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—3328no—
625Q8—3328no—
626D4—3328no—
627D4—3322no—
628D4—1662no—
629D4—1662no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—3328no—
641C2×C4—3324no—
642C2×C4—3324no—
643C2×C4—3322no—
644C2×C4—3322no—
645C2×C4—3322no—
646C2×C4—832no—
647C2×C4—832no—
648C2×C4—832no—
649C2×C4—1662no—
650C2×C4—1662no—
651C2×C4—1662no—
652C2×C4—1662no—
653C2×C4—1662no—
654C2×C4—1662no—
655C2×C4—1664no—
656C2×C4—1662no—
657C2×C4—1662no—
658C2×C4C2×D4×D8312yes—
659C2×C4C2×D4×D8312yes—
660C2×C4C2×D4×D8311yescharacteristic
661C2×C4#1458183912yes—
662C2×C4#1458184012yes—
663C2×C4C24×D8311yescharacteristic
664C8—22no—
665C8—22no—
666C8—1662no—
667C8—1662no—
668C22—3324no—
669C22—3322no—
670C22—3322no—
671C22—3322no—
672C22—6644no—
673C22—1662no—
674C22—1662no—
675C22—1662no—
676C22#1912827412yes—
677C22#1912849812yes—
678C22#1912850012yes—
679C22C22×D4×D8311yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—3322no—
687C4—3322no—
688C4—3322no—
689C4—1662no—
690C4—1662no—
691C4—1662no—
692C4#1912827412yes—
693C4C2×#1458183911yescharacteristic
694C4C2×#1458184011yescharacteristic
695C2—3322no—
696C2—6642no—
697C2#2491870814yesdirect product factor
698C2C2×#1912827411yescharacteristic
699C2C2×#1912849811yescharacteristic
700C2C2×#1912850011yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×#479×C83C2
socleC23×C83C22×D4
prime radicalC2×#14581767C22
hypercenterC2×#479D83
hypocenterC83C2×#3240
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
1. C2×#19128257C2semidirect
3. #24918708C2direct (N × H)
4. C2×#19128109C2semidirect
5. C2×#19128108C2semidirect
6. C2×#19128062C2semidirect
7. C2×#19128062C2semidirect
8. C2×#19128041C2semidirect
9. C2×#19128040C2semidirect
12. C2×#19128008C2semidirect
13. C2×#19128002C2semidirect
14. C2×#19127998C2semidirect
15. C2×#19127757C2semidirect
16. C2×#479×C83C2semidirect
18. #19128257C22semidirect
40. #19128109C22semidirect
41. #19128108C22semidirect
42. #19128062C22semidirect
43. #19128062C22semidirect
44. #19128041C22semidirect
45. #19128040C22semidirect
48. #19128008C22semidirect
49. #19128002C22semidirect
50. #19127998C22semidirect
51. #19127757C22semidirect
71. #479×C83C22semidirect
345. C2×C83#3240semidirect
363. C2×#479D83semidirect
367. C83C2×#3240semidirect
402. #479C2×D83semidirect
697. C2#24918708direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191282572
C2×#191282382
#249187082
C2×#191281092
C2×#191281082
C2×#191280622
C2×#191280412
C2×#191280402
C2×#191280282
C2×#191280272
C2×#191280082
C2×#191280022
C2×#191279982
C2×#191277572
C2×#479×C832
C2×#324083