Finite Group Databasebeta

← C2×#24920403 #36284926

Subgroups — C2×#24920403 #36284926

Order 21248.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128426C211yesmaximal, characteristic, complemented
2C2×#19128407C211yesmaximal, characteristic
3#24920403C2116yesmaximal, direct product factor
4C2×#19128108C211yesmaximal, characteristic, complemented
5C2×#19128102C211yesmaximal, characteristic, complemented
6C2×#19128007C211yesmaximal, characteristic, complemented
7C2×#19128005C211yesmaximal, characteristic, complemented
8C2×#19127985C211yesmaximal, characteristic, complemented
9C2×#19128004C211yesmaximal, characteristic
10C2×#19128000C211yesmaximal, characteristic
11C2×#19127988C211yesmaximal, characteristic
12C2×#19127829C211yesmaximal, characteristic, complemented
13C2×#19127803C211yesmaximal, characteristic
14C2×#19127800C211yesmaximal, characteristic
15C2×#19127788C211yesmaximal, characteristic
16C2×#501×C83C211yesmaximal, characteristic, complemented
17C22×#13050579C2211yescharacteristic
18#19128426—24no—
19#19128426C2218yescomplemented
20#19128407—24no—
21#19128407C2218yes—
22C2×#14581791C2211yescharacteristic
23C2×#14581790—21no—
24C2×#14581783C2211yescharacteristic
25C2×#14581783C2211yescharacteristic
26C2×#14581783C2211yescharacteristic
27C2×#14581782—21no—
28C2×#14581782—21no—
29C2×#14581772—21no—
30C2×#14581770—21no—
31C2×#14581770—21no—
32C2×Q8×Dic83—21no—
33C2×C4×Dic166C2211yescharacteristic
34C2×C4×Dic166C2211yescharacteristic
35C2×#14581757C2211yescharacteristic
36C2×#14581757C2211yescharacteristic
37C2×C4×D332C2211yescharacteristic
38C2×#14581754C2211yescharacteristic
39C2×#14581754C2211yescharacteristic
40C2×C4⋊C4×D83—21no—
41#19128108C2218yescomplemented
42#19128102C2218yescomplemented
43#19128007C2218yescomplemented
44#19128005C2218yescomplemented
45#19128004C2218yes—
46#19128000C2218yes—
47#19127988C2218yes—
48#19127985C2218yescomplemented
49#19127829C2218yescomplemented
50#19127803C2218yes—
51#19127800C2218yes—
52#19127788C2218yes—
53C2×#14581726C2211yescharacteristic
54C2×#14581725C2211yescharacteristic
55C2×#14581723C2211yescharacteristic
56C2×#14581723C2211yescharacteristic
57C2×#14581723C2211yescharacteristic
58C2×C4⋊(C83⋊C8)C2211yescharacteristic
59C2×Dic83⋊C8C2211yescharacteristic
60C2×Dic83⋊C8C2211yescharacteristic
61C2×#14581717C2211yescharacteristic
62C2×#14581715C2211yescharacteristic
63C2×#14581715C2211yescharacteristic
64C2×#14581714C2211yescharacteristic
65C2×#14581712C2211yescharacteristic
66C2×#14581712C2211yescharacteristic
67C2×#14581702C2211yescharacteristic
68C2×C8×Dic83C2211yescharacteristic
69C2×C4⋊Q8×C83C2211yescharacteristic
70C2×#125×C83C2211yescharacteristic
71#501×C83C2218yescomplemented
72C2×#107×C83C2211yescharacteristic
73C2×#107×C83C2211yescharacteristic
74C2×#106×C83C2211yescharacteristic
75C2×#106×C83C2211yescharacteristic
76C2×#97×C83C2211yescharacteristic
77C22×Dic166—21no—
78C22×Dic166D411yescharacteristic
79C22×Dic166C2311yescharacteristic
80C22×D332C2311yescharacteristic
81C22×C4×D83—21no—
82C22×C4×D83—21no—
83C22×C4×D83—21no—
84C2×#13050579Q818yescomplemented
85C2×#13050579C2314yes—
86C22×C83⋊C8C2311yescharacteristic
87C22×C83⋊C8C2311yescharacteristic
88#14581791—22no—
89#14581791C2314yes—
90#14581790—28no—
91#14581783—22no—
92#14581783—22no—
93#14581783—22no—
94#14581783C2314yes—
95#14581783C2314yes—
96#14581783C2314yes—
97#14581782—28no—
98#14581782—28no—
99#14581772—28no—
100#14581770—28no—
101#14581770—28no—
102Q8×Dic83—28no—
103C4×Dic166—22no—
104C4×Dic166D414yes—
105C4×Dic166C2314yes—
106C4×Dic166C2314yes—
107#14581757—22no—
108#14581757—22no—
109#14581757C2314yes—
110#14581757C2314yes—
111C4×D332—22no—
112C4×D332C2314yes—
113#14581754—22no—
114#14581754—22no—
115#14581754C2314yes—
116#14581754C2314yes—
117C2×C4⋊Dic83—21no—
118C2×C4⋊Dic83—21no—
119C2×C4⋊Dic83—21no—
120C2×C4⋊Dic83D411yescharacteristic
121C2×C4⋊Dic83C2311yescharacteristic
122C2×C4⋊Dic83C2311yescharacteristic
123C2×Dic83⋊C4—21no—
124C2×Dic83⋊C4—21no—
125C2×Dic83⋊C4—21no—
126C2×Dic83⋊C4—21no—
127C2×Dic83⋊C4—21no—
128C2×Dic83⋊C4—21no—
129C2×Dic83⋊C4—21no—
130C2×Dic83⋊C4D411yescharacteristic
131C2×Dic83⋊C4D411yescharacteristic
132C4⋊C4×D83—28no—
133C2×(C2×D83)⋊C4—21no—
134C2×(C2×D83)⋊C4—21no—
135C2×(C2×D83)⋊C4—21no—
136C2×C4×Dic83—21no—
137C2×C4×Dic83—21no—
138C2×C4×Dic83—21no—
139C2×C4×Dic83C2311yescharacteristic
140C2×C4×Dic83C2311yescharacteristic
141#14581726C2314yes—
142#14581725C2314yes—
143#14581723C2314yes—
144#14581723C2314yes—
145#14581723C2314yes—
146C4⋊(C83⋊C8)C2314yes—
147Dic83⋊C8C2314yes—
148Dic83⋊C8C2314yes—
149#14581717C2314yes—
150#14581715C2314yes—
151#14581715C2314yes—
152#14581714C2314yes—
153#14581712C2314yes—
154#14581712C2314yes—
155#14581702C2314yes—
156C8×Dic83C2314yes—
157C22×Q8×C83—21no—
158C22×C8×C83C2311yescharacteristic
159C22×C8×C83C2311yescharacteristic
160C4⋊Q8×C83—22no—
161C4⋊Q8×C83C2314yes—
162#125×C83—22no—
163#125×C83C2314yes—
164C2×C4⋊C4×C83—21no—
165C2×C4⋊C4×C83—21no—
166C2×C4⋊C4×C83—21no—
167C2×C4⋊C4×C83C2311yescharacteristic
168C2×C4⋊C4×C83C2311yescharacteristic
169C2×C4⋊C4×C83C2311yescharacteristic
170C2×C4⋊C4×C83C2311yescharacteristic
171C2×C42×C83C2311yescharacteristic
172#107×C83C2314yes—
173#107×C83C2314yes—
174#106×C83C2314yes—
175#106×C83C2314yes—
176#97×C83C2314yes—
177C23×D83—21no—
178C2×Dic166—21no—
179C2×Dic166—22no—
180C2×Dic166—24no—
181C2×Dic166—42no—
182C2×Dic166—82no—
183C2×Dic166C2×D414yes—
184C2×Dic166C2×Q814yes—
185C2×Dic166C2412yes—
186C2×D332—21no—
187C2×D332—22no—
188C2×D332C2×Q814yes—
189C2×D332C2412yes—
190C22×Dic83—21no—
191C22×Dic83—21no—
192C22×Dic83—21no—
193C22×Dic83C2×D411yescharacteristic
194C22×Dic83C2×D411yescharacteristic
195C22×Dic83C2×D411yescharacteristic
196C22×Dic83C2×D411yescharacteristic
197C2×C4×D83—24no—
198C2×C4×D83—24no—
199C2×C4×D83—24no—
200C2×C4×D83—44no—
201C2×C4×D83—82no—
202C2×C4×D83—82no—
203#13050579C2×Q8116yescomplemented
204C2×C83⋊C8—22no—
205C2×C83⋊C8—22no—
206C2×C83⋊C8C2412yes—
207C2×C83⋊C8C2412yes—
208C4⋊Dic83—21no—
209C4⋊Dic83—21no—
210C4⋊Dic83—24no—
211C4⋊Dic83—24no—
212C4⋊Dic83—24no—
213C4⋊Dic83C2×D414yes—
214C4⋊Dic83C2412yes—
215C4⋊Dic83C2412yes—
216Dic83⋊C4—24no—
217Dic83⋊C4—24no—
218Dic83⋊C4—24no—
219Dic83⋊C4—24no—
220Dic83⋊C4—24no—
221Dic83⋊C4—24no—
222Dic83⋊C4—24no—
223Dic83⋊C4C2×D414yes—
224Dic83⋊C4C2×D414yes—
225(C2×D83)⋊C4—24no—
226(C2×D83)⋊C4—24no—
227(C2×D83)⋊C4—24no—
228C4×Dic83—24no—
229C4×Dic83—24no—
230C4×Dic83—24no—
231C4×Dic83C2×D412yes—
232C4×Dic83C2×D412yes—
233C4×Dic83C2412yes—
234C4×Dic83C2412yes—
235C2×Q8×C83—24no—
236C2×Q8×C83—44no—
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×C83C2×Q814yes—
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×C83—21no—
255C4⋊C4×C83C2412yes—
256C4⋊C4×C83C2412yes—
257C4⋊C4×C83C2412yes—
258C4⋊C4×C83C2412yes—
259C42×C83C2×D412yes—
260C42×C83C2412yes—
261C23×C83C22×D411yescharacteristic
262C22×D83—24no—
263C22×D83—22no—
264C22×D83—42no—
265C22×D83—42no—
266Q8×C83—48no—
267C2×C4×C83—22no—
268C2×C4×C83—22no—
269C2×C4×C83—22no—
270C2×C4×C83—22no—
271C2×C4×C83—22no—
272C2×C4×C83—22no—
273C2×C4×C83—42no—
274C2×C4×C83—42no—
275C2×C4×C83—42no—
276C2×C4×C83—42no—
277C2×C4×C83C22×D412yes—
278C2×C4×C83C22×D412yes—
279C2×C4×C83C22×D411yescharacteristic
280C2×C4×C83C22×Q812yes—
281C2×C4×C832−1+412yes—
282C2×C4×C83C2511yescharacteristic
283C2×Dic83—24no—
284C2×Dic83—22no—
285C2×Dic83—22no—
286C2×Dic83—22no—
287C2×Dic83—22no—
288C2×Dic83—22no—
289C2×Dic83—22no—
290C2×Dic83—22no—
291C2×Dic83—42no—
292C2×Dic83—42no—
293C2×Dic83C22×D412yes—
294C2×Dic83C22×D412yes—
295C2×Dic83C22×D412yes—
296C2×Dic83C22×D412yes—
297D332—24no—
298D332—22no—
299D332C22×Q814yes—
300C4×D83—48no—
301C4×D83—84no—
302C4×D83—84no—
303Dic166—24no—
304Dic166—22no—
305Dic166—44no—
306Dic166—84no—
307Dic166C22×Q814yes—
308C8×C83—22no—
309C8×C83C22×Q814yes—
310C83⋊C8—22no—
311C83⋊C8—22no—
312C22×C83D4×Q812yes—
313C22×C83#57512yes—
314C22×C83#57712yes—
315C22×C83C23×D411yescharacteristic
316C2×D83—24no—
317C2×D83—48no—
318C2×D83—42no—
319C2×D83—42no—
320C4×C83—22no—
321C4×C83—22no—
322C4×C83—42no—
323C4×C83—42no—
324C4×C83—42no—
325C4×C83—42no—
326C4×C83D4×Q812yes—
327C4×C83C23×Q811yescharacteristic
328C4×C83C2×2−1+411yescharacteristic
329Dic83—24no—
330Dic83—22no—
331Dic83—22no—
332Dic83—22no—
333Dic83—22no—
334Dic83—42no—
335Dic83—42no—
336C2×#3388—831nomaximal, Sylow
337C2×C83#338814yescomplemented
338C2×C83C2×D4×Q811yescharacteristic
339C2×C83C2×#57511yescharacteristic
340C2×C83C2×#57711yescharacteristic
341D83—44no—
342C2×#557—831no—
343C2×#554—831no—
344#3388—8316no—
345C2×#501—831no—
346C2×#501D8311yescharacteristic, complemented
347C2×#499—831no—
348C2×#479—831no—
349C2×#479—831no—
350C2×#475—831no—
351C2×#478—831no—
352C2×#478—831no—
353C2×#476—831no—
354C2×#446—831no—
355C2×#440—831no—
356C2×#440—831no—
357C2×C4×SD16—831no—
358C83C2×#338811yescharacteristic, complemented, Sylow
359C22×SD16—831no—
360#557—838no—
361#557—1664no—
362#554—838no—
363#554—1664no—
364C2×C4⋊Q8—831no—
365C2×C4⋊Q8—1661no—
366C2×C4⋊Q8C2×D8311yescharacteristic
367C2×#125—831no—
368C2×#125—831no—
369C2×#125—831no—
370C2×#125—1661no—
371C2×#125—1661no—
372C2×#125C2×D8311yescharacteristic
373C2×C22⋊Q8—1661no—
374C2×C22⋊Q8—1661no—
375C2×C22⋊Q8—1661no—
376C2×C4×Q8—831no—
377C2×C4×Q8—831no—
378C2×C4×Q8—831no—
379C2×C4×Q8—831no—
380C2×C4×Q8—1661no—
381C2×C4×D4—831no—
382C2×C4×D4—831no—
383C2×C4×D4—831no—
384C22×C4⋊C4—1661no—
385#501—838no—
386#501C2×D8318yescomplemented
387#499—838no—
388#479—838no—
389#479—838no—
390#478—838no—
391#478—838no—
392#476—838no—
393#475—838no—
394#446—838no—
395#440—838no—
396#440—838no—
397C4×SD16—838no—
398C2×#107—831no—
399C2×#107—831no—
400C2×#107C2×D8311yescharacteristic
401C2×#107C2×D8311yescharacteristic
402C2×#106—831no—
403C2×#106—831no—
404C2×#106—831no—
405C2×#106C2×D8311yescharacteristic
406C2×#106C2×D8311yescharacteristic
407C2×C4⋊C8—831no—
408C2×C4⋊C8—831no—
409C2×C4⋊C8—831no—
410C2×#103—831no—
411C2×#103—831no—
412C2×#103—831no—
413C2×#102—831no—
414C2×#102—831no—
415C2×#102—831no—
416C2×#97—831no—
417C2×#97C2×D8311yescharacteristic
418C2×C4×C8—831no—
419C22×Q8—21no—
420C22×Q8—831no—
421C22×Q8—831no—
422C22×Q8—1661no—
423C22×D4—831no—
424C23×C4—1661no—
425C23×C4—1661no—
426C23×C4—1661no—
427C2×SD16—838no—
428C2×SD16—834no—
429C22×C8—831no—
430C22×C8—831no—
431C22×C8C22×D8311yescharacteristic
432C22×C8C22×D8311yescharacteristic
433C4⋊Q8—22no—
434C4⋊Q8—834no—
435C4⋊Q8—1662no—
436C4⋊Q8—1668no—
437C4⋊Q8C22×D8314yes—
438#125—22no—
439#125—834no—
440#125—834no—
441#125—834no—
442#125—1662no—
443#125—1662no—
444#125—1662no—
445#125—1668no—
446#125—1668no—
447#125C22×D8314yes—
448C22⋊Q8—1668no—
449C22⋊Q8—1668no—
450C22⋊Q8—1668no—
451C4×Q8—834no—
452C4×Q8—834no—
453C4×Q8—834no—
454C4×Q8—834no—
455C4×Q8—834no—
456C4×Q8—1662no—
457C4×Q8—1662no—
458C4×Q8—1668no—
459C4×Q8—1662no—
460C4×D4—834no—
461C4×D4—834no—
462C4×D4—834no—
463C4×D4—1662no—
464C4×D4—1662no—
465C4×D4—1662no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—831no—
470C2×C4⋊C4—831no—
471C2×C4⋊C4—831no—
472C2×C4⋊C4—831no—
473C2×C4⋊C4—831no—
474C2×C4⋊C4—1668no—
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⋊C4—1661no—
482C2×C4⋊C4—1661no—
483C2×C4⋊C4—1661no—
484C2×C4⋊C4—1661no—
485C2×C4⋊C4C22×D8311yescharacteristic
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×C42—831no—
493C2×C42—831no—
494C2×C42—1661no—
495C2×C42—1661no—
496C2×C42—1661no—
497C2×C42C22×D8311yescharacteristic
498#107—834no—
499#107—834no—
500#107C22×D8314yes—
501#107C22×D8314yes—
502#106—834no—
503#106—834no—
504#106—834no—
505#106C22×D8314yes—
506#106C22×D8314yes—
507C4⋊C8—834no—
508C4⋊C8—834no—
509C4⋊C8—834no—
510#103—834no—
511#103—834no—
512#103—834no—
513#102—834no—
514#102—834no—
515#102—834no—
516#97—834no—
517#97C22×D8314yes—
518C4×C8—834no—
519C24—1661no—
520C2×Q8—24no—
521C2×Q8—44no—
522C2×Q8—3322no—
523C2×Q8—834no—
524C2×Q8—834no—
525C2×Q8—832no—
526C2×Q8—6642no—
527C2×Q8—1664no—
528C2×Q8—1661no—
529C2×Q8—1662no—
530C2×D4—834no—
531C2×D4—832no—
532C2×D4—1661no—
533C2×D4—1662no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—3324no—
539C22×C4—831no—
540C22×C4—831no—
541C22×C4—831no—
542C22×C4—831no—
543C22×C4—6642no—
544C22×C4—6642no—
545C22×C4—1664no—
546C22×C4—1664no—
547C22×C4—1661no—
548C22×C4—1661no—
549C22×C4—1664no—
550C22×C4—1661no—
551C22×C4D4×D8311yescharacteristic
552C22×C4D4×D8311yescharacteristic
553C22×C4C23×D8311yescharacteristic
554SD16—8316no—
555C2×C8—22no—
556C2×C8—832no—
557C2×C8—832no—
558C2×C8—1662no—
559C2×C8—1662no—
560C2×C8Q8×D8314yes—
561C2×C8C23×D8312yes—
562C2×C8C23×D8312yes—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—834no—
571C4⋊C4—834no—
572C4⋊C4—834no—
573C4⋊C4—832no—
574C4⋊C4—832no—
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⋊C4—1664no—
584C4⋊C4—1661no—
585C4⋊C4—1661no—
586C4⋊C4—1664no—
587C4⋊C4C23×D8312yes—
588C4⋊C4C23×D8312yes—
589C4⋊C4C23×D8312yes—
590C4⋊C4C23×D8312yes—
591C22⋊C4—1664no—
592C22⋊C4—1664no—
593C22⋊C4—1664no—
594C42—832no—
595C42—832no—
596C42—832no—
597C42—832no—
598C42—1664no—
599C42—1664no—
600C42—1664no—
601C42D4×D8312yes—
602C42C23×D8312yes—
603C23—3322no—
604C23—3322no—
605C23—1664no—
606C23—1662no—
607C23C2×D4×D8311yescharacteristic
608Q8—48no—
609Q8—3324no—
610Q8—834no—
611Q8—6644no—
612Q8—1664no—
613Q8—1662no—
614D4—834no—
615D4—1664no—
616D4—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—3328no—
628C2×C4—3322no—
629C2×C4—3322no—
630C2×C4—832no—
631C2×C4—832no—
632C2×C4—832no—
633C2×C4—832no—
634C2×C4—6644no—
635C2×C4—6644no—
636C2×C4—1662no—
637C2×C4—1662no—
638C2×C4—1664no—
639C2×C4—1662no—
640C2×C4—1662no—
641C2×C4—1662no—
642C2×C4—1662no—
643C2×C4—1662no—
644C2×C4C2×D4×D8312yes—
645C2×C4C2×D4×D8312yes—
646C2×C4C2×D4×D8311yescharacteristic
647C2×C4C2×Q8×D8312yes—
648C2×C4#1458184012yes—
649C2×C4C24×D8311yescharacteristic
650C8—22no—
651C8—1662no—
652C8—1662no—
653C8C2×Q8×D8314yes—
654C22—3328no—
655C22—3322no—
656C22—3322no—
657C22—1664no—
658C22#1912836612yes—
659C22#1912849712yes—
660C22#1912851012yes—
661C22C22×D4×D8311yescharacteristic
662C4—22no—
663C4—22no—
664C4—42no—
665C4—42no—
666C4—42no—
667C4—42no—
668C4—3322no—
669C4—3322no—
670C4—1662no—
671C4—1662no—
672C4—1664no—
673C4—1662no—
674C4—1662no—
675C4#1912836612yes—
676C4C22×Q8×D8311yescharacteristic
677C4C2×#1458184011yescharacteristic
678C2—3324no—
679C2#2492040314yesdirect product factor
680C2C2×#1912836611yescharacteristic
681C2C2×#1912849711yescharacteristic
682C2C2×#1912851011yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×#501×C83C2
socleC23×C83C22×D4
prime radicalC22×D332C23
hypercenterC2×#501D83
hypocenterC83C2×#3388
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
1. C2×#19128426C2semidirect
3. #24920403C2direct (N × H)
4. C2×#19128108C2semidirect
5. C2×#19128102C2semidirect
6. C2×#19128007C2semidirect
7. C2×#19128005C2semidirect
8. C2×#19127985C2semidirect
12. C2×#19127829C2semidirect
16. C2×#501×C83C2semidirect
19. #19128426C22semidirect
41. #19128108C22semidirect
42. #19128102C22semidirect
43. #19128007C22semidirect
44. #19128005C22semidirect
48. #19127985C22semidirect
49. #19127829C22semidirect
71. #501×C83C22semidirect
84. C2×#13050579Q8semidirect
203. #13050579C2×Q8semidirect
337. C2×C83#3388semidirect
346. C2×#501D83semidirect
358. C83C2×#3388semidirect
386. #501C2×D83semidirect
679. C2#24920403direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191284262
C2×#191284072
#249204032
C2×#191281082
C2×#191281022
C2×#191280072
C2×#191280052
C2×#191279852
C2×#191280042
C2×#191280002
C2×#191279882
C2×#191278292
C2×#191278032
C2×#191278002
C2×#191277882
C2×#501×C832
C2×#338883