Finite Group Databasebeta

← C2×#24918621 #36276471

Subgroups — C2×#24918621 #36276471

Order 21248.

1778 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128257C211yesmaximal, characteristic
2C2×#19128255C211yesmaximal, characteristic
3#24918621C2116yesmaximal, direct product factor
4C2×#19128105C211yesmaximal, characteristic, complemented
5C2×#19128098C211yesmaximal, characteristic, complemented
6C2×#19128050C211yesmaximal, characteristic, complemented
7C2×#19128050C211yesmaximal, characteristic, complemented
8C2×#19128045C211yesmaximal, characteristic
9C2×#19128044C211yesmaximal, characteristic
10C2×#19128041C211yesmaximal, characteristic
11C2×#19128040C211yesmaximal, characteristic
12C2×#19128009C211yesmaximal, characteristic, complemented
13C2×#19128008C211yesmaximal, characteristic, complemented
14C2×#19128005C211yesmaximal, characteristic, complemented
15C2×#19127753C211yesmaximal, characteristic
16C2×#479×C83C211yesmaximal, characteristic, complemented
17#19128257—24no—
18#19128257C2218yes—
19#19128255—24no—
20#19128255C2218yes—
21C2×#14581791C2211yescharacteristic
22C2×#14581791C2211yescharacteristic
23C2×#14581791C2211yescharacteristic
24C2×#14581790C2211yescharacteristic
25C2×#14581784C2211yescharacteristic
26C2×#14581782—21no—
27C2×#14581772C2211yescharacteristic
28C2×#14581770—21no—
29C2×#14581770—21no—
30C2×#14581770—21no—
31C2×#14581768C2211yescharacteristic
32C2×C4×Dic166—21no—
33C2×C4×Dic166C2211yescharacteristic
34C2×#14581757—21no—
35C2×#14581757—21no—
36C2×#14581750C2211yescharacteristic
37C2×#14581750C2211yescharacteristic
38C2×#14581749—21no—
39C2×C42×D83C2211yescharacteristic
40#19128105C2218yescomplemented
41#19128098C2218yescomplemented
42#19128050C2218yescomplemented
43#19128050C2218yescomplemented
44#19128045C2218yes—
45#19128044C2218yes—
46#19128041C2218yes—
47#19128040C2218yes—
48#19128009C2218yescomplemented
49#19128008C2218yescomplemented
50#19128005C2218yescomplemented
51#19127753C2218yes—
52C2×#14581726C2211yescharacteristic
53C2×#14581725C2211yescharacteristic
54C2×#14581725C2211yescharacteristic
55C2×#14581724C2211yescharacteristic
56C2×#14581723C2211yescharacteristic
57C2×#14581723C2211yescharacteristic
58C2×C4⋊(C83⋊C8)C2211yescharacteristic
59C2×#14581717C2211yescharacteristic
60C2×#14581717C2211yescharacteristic
61C2×#14581716C2211yescharacteristic
62C2×#14581716C2211yescharacteristic
63C2×#14581715C2211yescharacteristic
64C2×#14581715C2211yescharacteristic
65C2×(C2×D83)⋊C8C2211yescharacteristic
66C2×(C2×D83)⋊C8C2211yescharacteristic
67C2×C8×Dic83C2211yescharacteristic
68C2×C8×Dic83C2211yescharacteristic
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×Dic166—21no—
80C22×Dic166C2311yescharacteristic
81C22×C4×D83D411yescharacteristic
82C22×C4×D83D411yescharacteristic
83C22×C4×D83C2311yescharacteristic
84C22×C83⋊C8C2311yescharacteristic
85C22×C83⋊C8C2311yescharacteristic
86#14581791—22no—
87#14581791—22no—
88#14581791—22no—
89#14581791C2314yes—
90#14581791C2314yes—
91#14581791C2314yes—
92#14581790—22no—
93#14581790C2314yes—
94#14581784—22no—
95#14581784C2314yes—
96#14581782—28no—
97#14581772—22no—
98#14581772C2314yes—
99#14581770—28no—
100#14581770—28no—
101#14581770—28no—
102#14581768—22no—
103#14581768C2314yes—
104C4×Dic166—28no—
105C4×Dic166—22no—
106C4×Dic166C2314yes—
107#14581757—28no—
108#14581757—28no—
109#14581750—22no—
110#14581750—22no—
111#14581750C2314yes—
112#14581750C2314yes—
113#14581749—28no—
114C2×C4⋊Dic83—21no—
115C2×C4⋊Dic83C2311yescharacteristic
116C2×C4⋊Dic83C2311yescharacteristic
117C2×C4⋊Dic83C2311yescharacteristic
118C2×Dic83⋊C4—21no—
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×Dic83⋊C4—21no—
126C2×Dic83⋊C4—21no—
127C2×(C2×D83)⋊C4—21no—
128C2×(C2×D83)⋊C4—21no—
129C2×(C2×D83)⋊C4—21no—
130C2×(C2×D83)⋊C4—21no—
131C2×C4×Dic83—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#14581717C2314yes—
147#14581717C2314yes—
148#14581716C2314yes—
149#14581716C2314yes—
150#14581715C2314yes—
151#14581715C2314yes—
152(C2×D83)⋊C8C2314yes—
153(C2×D83)⋊C8C2314yes—
154C8×Dic83C2314yes—
155C8×Dic83C2314yes—
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×D83C2×D411yescharacteristic
177C2×Dic166—22no—
178C2×Dic166—22no—
179C2×Dic166—21no—
180C2×Dic166—24no—
181C2×Dic166—24no—
182C2×Dic166—24no—
183C2×Dic166—44no—
184C2×Dic166—44no—
185C2×Dic166—44no—
186C2×Dic166C2412yes—
187C22×Dic83—21no—
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—24no—
198C2×C4×D83C2×D412yes—
199C2×C4×D83C2×D414yes—
200C2×C4×D83C2×D414yes—
201C2×C4×D83C2412yes—
202C2×C83⋊C8—22no—
203C2×C83⋊C8—22no—
204C2×C83⋊C8C2412yes—
205C2×C83⋊C8C2412yes—
206C4⋊Dic83—21no—
207C4⋊Dic83—21no—
208C4⋊Dic83—21no—
209C4⋊Dic83—24no—
210C4⋊Dic83C2412yes—
211C4⋊Dic83C2412yes—
212C4⋊Dic83C2412yes—
213Dic83⋊C4—24no—
214Dic83⋊C4—24no—
215Dic83⋊C4—24no—
216Dic83⋊C4—24no—
217Dic83⋊C4—24no—
218Dic83⋊C4—24no—
219Dic83⋊C4—24no—
220Dic83⋊C4—24no—
221Dic83⋊C4—24no—
222(C2×D83)⋊C4—24no—
223(C2×D83)⋊C4—24no—
224(C2×D83)⋊C4—24no—
225(C2×D83)⋊C4—24no—
226C4×Dic83—24no—
227C4×Dic83—24no—
228C4×Dic83—24no—
229C4×Dic83C2×D414yes—
230C4×Dic83C2×D412yes—
231C4×Dic83C2×D414yes—
232C4×Dic83C2412yes—
233C2×Q8×C83—21no—
234C2×Q8×C83—22no—
235C2×Q8×C83—22no—
236C2×Q8×C83C2412yes—
237C22×C4×C83—21no—
238C22×C4×C83—21no—
239C22×C4×C83—21no—
240C22×C4×C83—21no—
241C22×C4×C83C2×D411yescharacteristic
242C22×C4×C83C2×D411yescharacteristic
243C22×C4×C83C2411yescharacteristic
244C2×C8×C83—22no—
245C2×C8×C83—22no—
246C2×C8×C83C2412yes—
247C2×C8×C83C2412yes—
248C4⋊C4×C83—24no—
249C4⋊C4×C83—24no—
250C4⋊C4×C83—24no—
251C4⋊C4×C83—21no—
252C4⋊C4×C83—21no—
253C4⋊C4×C83—21no—
254C4⋊C4×C83C2412yes—
255C4⋊C4×C83C2412yes—
256C4⋊C4×C83C2412yes—
257C42×C83—24no—
258C42×C83C2×D412yes—
259C42×C83C2412yes—
260C23×C83C22×D411yescharacteristic
261C22×D83—22no—
262C22×D83—22no—
263C22×D83—22no—
264C22×D83C22×D412yes—
265Q8×C83—22no—
266Q8×C83—22no—
267Q8×C83—42no—
268C2×C4×C83—22no—
269C2×C4×C83—22no—
270C2×C4×C83—22no—
271C2×C4×C83—22no—
272C2×C4×C83—22no—
273C2×C4×C83—22no—
274C2×C4×C83—42no—
275C2×C4×C83—42no—
276C2×C4×C83—42no—
277C2×C4×C83—42no—
278C2×C4×C83C22×D412yes—
279C2×C4×C83C22×D412yes—
280C2×C4×C83C22×D411yescharacteristic
281C2×C4×C832−1+412yes—
282C2×C4×C832−1+412yes—
283C2×C4×C83C2511yescharacteristic
284C2×Dic83—22no—
285C2×Dic83—22no—
286C2×Dic83—22no—
287C2×Dic83—22no—
288C2×Dic83—22no—
289C2×Dic83—42no—
290C2×Dic83—42no—
291C2×Dic83—42no—
292C2×Dic83—42no—
293C2×Dic83#13514yes—
294C2×Dic83#13714yes—
295C2×Dic83C22×D412yes—
296C2×Dic83C22×D412yes—
297C2×Dic83C22×D412yes—
298C4×D83—24no—
299C4×D83—22no—
300C4×D83—22no—
301C4×D83—28no—
302C4×D83—28no—
303Dic166—22no—
304Dic166—22no—
305Dic166—42no—
306Dic166—48no—
307Dic166—48no—
308Dic166—48no—
309C8×C83—22no—
310C8×C83—22no—
311C83⋊C8—22no—
312C83⋊C8—22no—
313C22×C83#53612yes—
314C22×C83C2×#13512yes—
315C22×C83C2×#13712yes—
316C22×C83C23×D411yescharacteristic
317C2×D83—22no—
318C2×D83—22no—
319C2×D83—22no—
320C2×D83—44no—
321C4×C83—22no—
322C4×C83—22no—
323C4×C83—42no—
324C4×C83—42no—
325C4×C83—42no—
326C4×C83—42no—
327C4×C83#53612yes—
328C4×C83C2×2−1+411yescharacteristic
329C4×C83C2×2−1+411yescharacteristic
330Dic83—22no—
331Dic83—42no—
332Dic83—42no—
333Dic83—42no—
334Dic83—42no—
335Dic83C2×#13514yes—
336Dic83C2×#13714yes—
337C2×#3231—831nomaximal, Sylow
338C2×C83#323114yescomplemented
339C2×C83C2×#53611yescharacteristic
340C2×C83C22×#13511yescharacteristic
341C2×C83C22×#13711yescharacteristic
342D83—42no—
343C2×#533—831no—
344C2×#533—831no—
345#3231—8316no—
346C2×#500—831no—
347C2×#498—831no—
348C2×#487—831no—
349C2×#487—831no—
350C2×#485—831no—
351C2×#485—831no—
352C2×#485—831no—
353C2×#485—831no—
354C2×#479—831no—
355C2×#479—831no—
356C2×#479—831no—
357C2×#479D8311yescharacteristic, complemented
358C2×#431—831no—
359C83C2×#323111yescharacteristic, complemented, Sylow
360#533—838no—
361#533—838no—
362#533—1664no—
363#533—1664no—
364C2×C4⋊Q8—831no—
365C2×C4⋊Q8—831no—
366C2×C4⋊Q8—831no—
367C2×C4⋊Q8—831no—
368C2×#125—831no—
369C2×#125—1661no—
370C2×#125C2×D8311yescharacteristic
371C2×C22⋊Q8—831no—
372C2×C22⋊Q8—831no—
373C2×C22⋊Q8—1661no—
374C2×C22⋊Q8—1661no—
375C2×C22⋊Q8—1661no—
376C2×C4×Q8—831no—
377C2×C4×Q8—1661no—
378C2×C4×Q8—1661no—
379C2×C4×Q8—1661no—
380C2×C4×Q8C2×D8311yescharacteristic
381C2×#117—831no—
382C2×#117—831no—
383C2×#117—1661no—
384C22×C42—831no—
385#500—838no—
386#498—838no—
387#487—838no—
388#487—838no—
389#485—838no—
390#485—838no—
391#485—838no—
392#485—838no—
393#479—838no—
394#479—838no—
395#479—838no—
396#479C2×D8318yescomplemented
397#431—838no—
398C2×#107—831no—
399C2×#107—831no—
400C2×#107—831no—
401C2×#107C2×D8311yescharacteristic
402C2×#106—831no—
403C2×#106—831no—
404C2×#106—831no—
405C2×#106C2×D8311yescharacteristic
406C2×C4⋊C8—831no—
407C2×C4⋊C8C2×D8311yescharacteristic
408C2×#103—831no—
409C2×#103—831no—
410C2×#103—831no—
411C2×#103—831no—
412C2×#103—831no—
413C2×#103—831no—
414C2×#103C2×D8311yescharacteristic
415C2×#103C2×D8311yescharacteristic
416C2×C22⋊C8—831no—
417C2×C22⋊C8—831no—
418C2×C4×C8—831no—
419C2×C4×C8—831no—
420C22×Q8—831no—
421C22×Q8—1661no—
422C22×Q8—1661no—
423C22×Q8—1661no—
424C22×Q8C22×D8311yescharacteristic
425C23×C4—831no—
426C23×C4—831no—
427C23×C4—831no—
428C22×C8—831no—
429C22×C8—831no—
430C22×C8C22×D8311yescharacteristic
431C22×C8C22×D8311yescharacteristic
432C4⋊Q8—834no—
433C4⋊Q8—834no—
434C4⋊Q8—834no—
435C4⋊Q8—834no—
436C4⋊Q8—1662no—
437C4⋊Q8—1662no—
438C4⋊Q8—1662no—
439C4⋊Q8—1662no—
440#125—22no—
441#125—834no—
442#125—1668no—
443#125—1662no—
444#125C22×D8314yes—
445C22⋊Q8—834no—
446C22⋊Q8—834no—
447C22⋊Q8—1668no—
448C22⋊Q8—1668no—
449C22⋊Q8—1668no—
450C22⋊Q8—1662no—
451C22⋊Q8—1662no—
452C4×Q8—22no—
453C4×Q8—834no—
454C4×Q8—1668no—
455C4×Q8—1668no—
456C4×Q8—1668no—
457C4×Q8—1662no—
458C4×Q8C22×D8314yes—
459#117—834no—
460#117—834no—
461#117—1668no—
462#117—1662no—
463#117—1662no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—831no—
468C2×C4⋊C4—831no—
469C2×C4⋊C4—831no—
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⋊C4C22×D8311yescharacteristic
481C2×C4⋊C4C22×D8311yescharacteristic
482C2×C4⋊C4C22×D8311yescharacteristic
483C2×C22⋊C4—1661no—
484C2×C22⋊C4—1661no—
485C2×C22⋊C4—1661no—
486C2×C22⋊C4—1661no—
487C2×C42—21no—
488C2×C42—831no—
489C2×C42—831no—
490C2×C42—831no—
491C2×C42—834no—
492C2×C42—834no—
493C2×C42—1661no—
494C2×C42—1661no—
495C2×C42—1661no—
496C2×C42C22×D8311yescharacteristic
497#107—834no—
498#107—834no—
499#107—834no—
500#107C22×D8314yes—
501#106—834no—
502#106—834no—
503#106—834no—
504#106C22×D8314yes—
505C4⋊C8—834no—
506C4⋊C8C22×D8314yes—
507#103—834no—
508#103—834no—
509#103—834no—
510#103—834no—
511#103—834no—
512#103—834no—
513#103C22×D8314yes—
514#103C22×D8314yes—
515C22⋊C8—834no—
516C22⋊C8—834no—
517C4×C8—834no—
518C4×C8—834no—
519C24—831no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—3324no—
524C2×Q8—3324no—
525C2×Q8—3324no—
526C2×Q8—832no—
527C2×Q8—1664no—
528C2×Q8—1664no—
529C2×Q8—1664no—
530C2×Q8—1662no—
531C2×Q8—1662no—
532C2×Q8—1661no—
533C2×Q8C23×D8312yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—831no—
539C22×C4—831no—
540C22×C4—831no—
541C22×C4—834no—
542C22×C4—832no—
543C22×C4—834no—
544C22×C4—832no—
545C22×C4—1664no—
546C22×C4—1664no—
547C22×C4—1661no—
548C22×C4—1661no—
549C22×C4—1661no—
550C22×C4—1661no—
551C22×C4—1662no—
552C22×C4—1662no—
553C22×C4D4×D8311yescharacteristic
554C22×C4D4×D8311yescharacteristic
555C22×C4C23×D8311yescharacteristic
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—832no—
559C2×C8—832no—
560C2×C8—1662no—
561C2×C8—1662no—
562C2×C8C23×D8312yes—
563C2×C8C23×D8312yes—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—832no—
571C4⋊C4—832no—
572C4⋊C4—832no—
573C4⋊C4—1664no—
574C4⋊C4—1664no—
575C4⋊C4—1664no—
576C4⋊C4—1664no—
577C4⋊C4—1664no—
578C4⋊C4—1664no—
579C4⋊C4—1664no—
580C4⋊C4—1661no—
581C4⋊C4—1661no—
582C4⋊C4—1661no—
583C4⋊C4—1664no—
584C4⋊C4—1664no—
585C4⋊C4—1664no—
586C4⋊C4C23×D8312yes—
587C4⋊C4C23×D8312yes—
588C4⋊C4C23×D8312yes—
589C22⋊C4—1664no—
590C22⋊C4—1664no—
591C22⋊C4—1664no—
592C22⋊C4—1664no—
593C42—24no—
594C42—834no—
595C42—834no—
596C42—832no—
597C42—832no—
598C42—1664no—
599C42—1664no—
600C42—1664no—
601C42D4×D8312yes—
602C42C23×D8312yes—
603C23—832no—
604C23—1662no—
605C23—1662no—
606C23—1662no—
607C23C2×D4×D8311yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—42no—
611Q8—3328no—
612Q8—3328no—
613Q8—3328no—
614Q8—3322no—
615Q8—1662no—
616Q8—1662no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—3322no—
628C2×C4—3322no—
629C2×C4—3322no—
630C2×C4—3322no—
631C2×C4—834no—
632C2×C4—834no—
633C2×C4—832no—
634C2×C4—832no—
635C2×C4—832no—
636C2×C4—1668no—
637C2×C4—1668no—
638C2×C4—1662no—
639C2×C4—1662no—
640C2×C4—1662no—
641C2×C4—1662no—
642C2×C4—1662no—
643C2×C4—1664no—
644C2×C4—1662no—
645C2×C4—1662no—
646C2×C4C2×D4×D8312yes—
647C2×C4C2×D4×D8312yes—
648C2×C4C2×D4×D8311yescharacteristic
649C2×C4#1458183912yes—
650C2×C4#1458184012yes—
651C2×C4C24×D8311yescharacteristic
652C8—22no—
653C8—22no—
654C8—1662no—
655C8—1662no—
656C22—3324no—
657C22—1662no—
658C22—1662no—
659C22—1662no—
660C22#1912827412yes—
661C22#135×D8312yes—
662C22#137×D8312yes—
663C22C22×D4×D8311yescharacteristic
664C4—22no—
665C4—22no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—42no—
670C4—3322no—
671C4—3322no—
672C4—3322no—
673C4—3322no—
674C4—834no—
675C4—834no—
676C4—1662no—
677C4#1912827412yes—
678C4C2×#1458183911yescharacteristic
679C4C2×#1458184011yescharacteristic
680C2—3322no—
681C2#2491862114yesdirect product factor
682C2C2×#1912827411yescharacteristic
683C2C2×#135×D8311yescharacteristic
684C2C2×#137×D8311yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×#479×C83C2
socleC23×C83C22×D4
prime radicalC23×D83C2×D4
hypercenterC2×#479D83
hypocenterC83C2×#3231
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
3. #24918621C2direct (N × H)
4. C2×#19128105C2semidirect
5. C2×#19128098C2semidirect
6. C2×#19128050C2semidirect
7. C2×#19128050C2semidirect
12. C2×#19128009C2semidirect
13. C2×#19128008C2semidirect
14. C2×#19128005C2semidirect
16. C2×#479×C83C2semidirect
40. #19128105C22semidirect
41. #19128098C22semidirect
42. #19128050C22semidirect
43. #19128050C22semidirect
48. #19128009C22semidirect
49. #19128008C22semidirect
50. #19128005C22semidirect
71. #479×C83C22semidirect
338. C2×C83#3231semidirect
357. C2×#479D83semidirect
359. C83C2×#3231semidirect
396. #479C2×D83semidirect
681. C2#24918621direct (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×#191282552
#249186212
C2×#191281052
C2×#191280982
C2×#191280502
C2×#191280452
C2×#191280442
C2×#191280412
C2×#191280402
C2×#191280092
C2×#191280082
C2×#191280052
C2×#191277532
C2×#479×C832
C2×#323183