Finite Group Databasebeta

← C2×#20285878 #28256117

Subgroups — C2×#20285878 #28256117

Order 13568.

1822 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×#16811152C211yesmaximal, characteristic
2C2×#125×D53C211yesmaximal, characteristic, complemented
3#20285878C2116yesmaximal, direct product factor
4C2×#16811025C211yesmaximal, characteristic, complemented
5C2×#16811022C211yesmaximal, characteristic, complemented
6C2×#16810977C211yesmaximal, characteristic, complemented
7C2×#16810957C211yesmaximal, characteristic, complemented
8C2×#16810940C211yesmaximal, characteristic
9C2×#16810952C211yesmaximal, characteristic, complemented
10C2×#16810935C211yesmaximal, characteristic
11C2×#16810932C211yesmaximal, characteristic, complemented
12C2×#16810928C211yesmaximal, characteristic, complemented
13C2×#16810925C211yesmaximal, characteristic, complemented
14C2×#16810921C211yesmaximal, characteristic, complemented
15C2×#16810674C211yesmaximal, characteristic, complemented
16C2×C53×#488C211yesmaximal, characteristic, complemented
17#16811152—24no—
18#16811152C2218yes—
19C2×#13133210—21no—
20C2×#13133209C2211yescharacteristic
21C2×#13133209C2211yescharacteristic
22C2×#13133208C2211yescharacteristic
23C2×#13133208C2211yescharacteristic
24C2×#13133207—21no—
25C2×#13133207—21no—
26#125×D53—24no—
27#125×D53C2218yescomplemented
28C2×#13133199—21no—
29C2×#13133193C2211yescharacteristic
30C2×#13133188C2211yescharacteristic
31C2×Q8×Dic53C2211yescharacteristic
32C2×D4×Dic53C2211yescharacteristic
33C2×#13133177—21no—
34C2×#13133173—21no—
35C2×C4⋊C4×D53—21no—
36C2×C4⋊C4×D53—21no—
37C2×C4⋊C4×D53C2211yescharacteristic
38C2×C4⋊C4×D53C2211yescharacteristic
39C2×C42×D53C2211yescharacteristic
40#16811025C2218yescomplemented
41#16811022C2218yescomplemented
42#16810977C2218yescomplemented
43#16810957C2218yescomplemented
44#16810952C2218yescomplemented
45#16810940C2218yes—
46#16810935C2218yes—
47#16810932C2218yescomplemented
48#16810928C2218yescomplemented
49#16810925C2218yescomplemented
50#16810921C2218yescomplemented
51#16810674C2218yescomplemented
52C2×#13133151C2211yescharacteristic
53C2×#13133151C2211yescharacteristic
54C2×#13133150C2211yescharacteristic
55C2×#13133150C2211yescharacteristic
56C2×#13133149C2211yescharacteristic
57C2×#13133149C2211yescharacteristic
58C2×#13133148C2211yescharacteristic
59C2×#13133148C2211yescharacteristic
60C2×#13133146C2211yescharacteristic
61C2×#13133146C2211yescharacteristic
62C2×#13133141C2211yescharacteristic
63C2×#13133141C2211yescharacteristic
64C2×#13133138C2211yescharacteristic
65C2×#13133138C2211yescharacteristic
66C2×#13133129C2211yescharacteristic
67C2×#13133129C2211yescharacteristic
68C2×C4×#88322C2211yescharacteristic
69C2×#125×C53C2211yescharacteristic
70C2×#124×C53C2211yescharacteristic
71C53×#488C2218yescomplemented
72C2×#103×C53C2211yescharacteristic
73C2×#103×C53C2211yescharacteristic
74C2×#102×C53C2211yescharacteristic
75C2×#102×C53C2211yescharacteristic
76C2×C4×C8×C53C2211yescharacteristic
77C22×C22⋊D53—21no—
78C23×Dic53—21no—
79C22×C4×D53—21no—
80C22×C4×D53—21no—
81C22×C4×D53D411yescharacteristic
82C22×C4×D53D411yescharacteristic
83C22×C4×D53C2311yescharacteristic
84C22×#88322C2311yescharacteristic
85C22×#88322C2311yescharacteristic
86#13133210—28no—
87#13133209—22no—
88#13133209—22no—
89#13133209C2314yes—
90#13133209C2314yes—
91#13133208—22no—
92#13133208—22no—
93#13133208C2314yes—
94#13133208C2314yes—
95#13133207—28no—
96#13133207—28no—
97#13133199—28no—
98#13133193—22no—
99#13133193C2314yes—
100#13133188—22no—
101#13133188C2314yes—
102Q8×Dic53—22no—
103Q8×Dic53C2314yes—
104D4×Dic53—22no—
105D4×Dic53C2314yes—
106#13133177—28no—
107#13133173—28no—
108C2×C4⋊Dic53—21no—
109C2×C4⋊Dic53—21no—
110C2×C4⋊Dic53—21no—
111C2×C4⋊Dic53C2311yescharacteristic
112C2×C4⋊Dic53C2311yescharacteristic
113C2×C4⋊Dic53C2311yescharacteristic
114C2×C4⋊Dic53C2311yescharacteristic
115C2×#11719919—21no—
116C2×#11719919—21no—
117C2×#11719919—21no—
118C2×#11719919—21no—
119C2×#11719919—21no—
120C2×#11719919—21no—
121C2×#11719919—21no—
122C2×#11719919—21no—
123C2×#11719919—21no—
124C4⋊C4×D53—28no—
125C4⋊C4×D53—28no—
126C4⋊C4×D53—22no—
127C4⋊C4×D53—22no—
128C4⋊C4×D53C2314yes—
129C4⋊C4×D53C2314yes—
130C2×C22⋊Dic53—21no—
131C2×C22⋊Dic53—21no—
132C2×#11719921—21no—
133C2×C4×Dic53—21no—
134C2×C4×Dic53D411yescharacteristic
135C2×C4×Dic53D411yescharacteristic
136C2×C4×Dic53C2311yescharacteristic
137C42×D53D414yes—
138C42×D53C2314yes—
139#13133151C2314yes—
140#13133151C2314yes—
141#13133150C2314yes—
142#13133150C2314yes—
143#13133149C2314yes—
144#13133149C2314yes—
145#13133148C2314yes—
146#13133148C2314yes—
147#13133146C2314yes—
148#13133146C2314yes—
149#13133141C2314yes—
150#13133141C2314yes—
151#13133138C2314yes—
152#13133138C2314yes—
153#13133129C2314yes—
154#13133129C2314yes—
155C4×#88322C2314yes—
156C22×Q8×C53C2311yescharacteristic
157C22×D4×C53C2311yescharacteristic
158C22×C8×C53C2311yescharacteristic
159C22×C8×C53C2311yescharacteristic
160#125×C53—22no—
161#125×C53C2314yes—
162#124×C53—22no—
163#124×C53C2314yes—
164C2×C4⋊C4×C53—21no—
165C2×C4⋊C4×C53—21no—
166C2×C4⋊C4×C53C2311yescharacteristic
167C2×C4⋊C4×C53C2311yescharacteristic
168C2×C22⋊C4×C53—21no—
169C2×C22⋊C4×C53—21no—
170C2×C42×C53C2311yescharacteristic
171#103×C53C2314yes—
172#103×C53C2314yes—
173#102×C53C2314yes—
174#102×C53C2314yes—
175C4×C8×C53C2314yes—
176C24×C53—21no—
177C23×D53C2×D411yescharacteristic
178C2×Q8×C53—21no—
179C2×Q8×C53—22no—
180C2×Q8×C53—22no—
181C2×Q8×C53C2412yes—
182C2×D4×C53—21no—
183C2×D4×C53—22no—
184C2×D4×C53—22no—
185C2×D4×C53C2412yes—
186C22×C4×C53—21no—
187C22×C4×C53—21no—
188C22×C4×C53—21no—
189C22×C4×C53C2×D411yescharacteristic
190C22×C4×C53C2×D411yescharacteristic
191C22×C4×C53C2411yescharacteristic
192C2×C22⋊D53—24no—
193C2×C22⋊D53—44no—
194C22×Dic53—21no—
195C22×Dic53—21no—
196C22×Dic53—21no—
197C22×Dic53—21no—
198C22×Dic53—24no—
199C22×Dic53—44no—
200C22×Dic53C2×D411yescharacteristic
201C22×Dic53C2×D411yescharacteristic
202C22×Dic53C2×D411yescharacteristic
203C2×C4×D53—24no—
204C2×C4×D53—22no—
205C2×C4×D53—22no—
206C2×C4×D53—24no—
207C2×C4×D53—24no—
208C2×C4×D53—42no—
209C2×C4×D53—44no—
210C2×C4×D53—44no—
211C2×C4×D53C2×D412yes—
212C2×C4×D53C2×D414yes—
213C2×C4×D53C2×D414yes—
214C2×C4×D53C2412yes—
215C2×C8×C53—22no—
216C2×C8×C53—22no—
217C2×C8×C53C2412yes—
218C2×C8×C53C2412yes—
219C4⋊C4×C53—24no—
220C4⋊C4×C53—24no—
221C4⋊C4×C53—21no—
222C4⋊C4×C53—21no—
223C4⋊C4×C53C2412yes—
224C4⋊C4×C53C2412yes—
225C22⋊C4×C53—24no—
226C22⋊C4×C53—24no—
227C42×C53C2×D412yes—
228C42×C53C2412yes—
229C22⋊Dic53—24no—
230C22⋊Dic53—24no—
231#11719921—24no—
232C4⋊Dic53—21no—
233C4⋊Dic53—21no—
234C4⋊Dic53—21no—
235C4⋊Dic53—21no—
236C4⋊Dic53—24no—
237C4⋊Dic53—24no—
238C4⋊Dic53—24no—
239C4⋊Dic53C2412yes—
240C4⋊Dic53C2412yes—
241C4⋊Dic53C2412yes—
242C4⋊Dic53C2412yes—
243#11719919—24no—
244#11719919—24no—
245#11719919—24no—
246#11719919—24no—
247#11719919—24no—
248#11719919—24no—
249#11719919—24no—
250#11719919—24no—
251#11719919—24no—
252C4×Dic53—24no—
253C4×Dic53C2×D412yes—
254C4×Dic53C2×D414yes—
255C4×Dic53C2×D414yes—
256C4×Dic53C2412yes—
257C2×#88322—22no—
258C2×#88322—22no—
259C2×#88322C2412yes—
260C2×#88322C2412yes—
261C23×C53—22no—
262C23×C53—42no—
263C23×C53—42no—
264C23×C53—42no—
265C23×C53C22×D411yescharacteristic
266C22×D53—22no—
267C22×D53—22no—
268C22×D53#13514yes—
269C22×D53C22×D412yes—
270Q8×C53—22no—
271Q8×C53—22no—
272Q8×C53—42no—
273D4×C53—22no—
274D4×C53—22no—
275D4×C53—42no—
276C2×C4×C53—22no—
277C2×C4×C53—22no—
278C2×C4×C53—22no—
279C2×C4×C53—22no—
280C2×C4×C53—22no—
281C2×C4×C53—42no—
282C2×C4×C53—42no—
283C2×C4×C53—42no—
284C2×C4×C53C22×D412yes—
285C2×C4×C53C22×D412yes—
286C2×C4×C53C22×D411yescharacteristic
287C2×C4×C532−1+412yes—
288C2×C4×C532−1+412yes—
289C2×C4×C53C2511yescharacteristic
290C22⋊D53—48no—
291C2×Dic53—22no—
292C2×Dic53—22no—
293C2×Dic53—22no—
294C2×Dic53—22no—
295C2×Dic53—22no—
296C2×Dic53—22no—
297C2×Dic53—22no—
298C2×Dic53—48no—
299C2×Dic53—42no—
300C2×Dic53—42no—
301C2×Dic53—42no—
302C2×Dic53—42no—
303C2×Dic53C22×D412yes—
304C2×Dic53C22×D412yes—
305C2×Dic53C22×D412yes—
306C4×D53—28no—
307C4×D53—24no—
308C4×D53—22no—
309C4×D53—22no—
310C4×D53—44no—
311C4×D53—48no—
312C4×D53—48no—
313C8×C53—22no—
314C8×C53—22no—
315#88322—22no—
316#88322—22no—
317C2×#3232—531nomaximal, Sylow
318C22×C53—42no—
319C22×C53—42no—
320C22×C53—42no—
321C22×C53—84no—
322C22×C53#53612yes—
323C22×C53C2×#13512yes—
324C22×C53#57512yes—
325C22×C53C23×D411yescharacteristic
326C2×D53—22no—
327C2×D53—28no—
328C2×D53—22no—
329C2×D53C2×#13514yes—
330C4×C53—22no—
331C4×C53—22no—
332C4×C53—42no—
333C4×C53—42no—
334C4×C53—42no—
335C4×C53#53612yes—
336C4×C53C2×2−1+411yescharacteristic
337C4×C53C2×2−1+411yescharacteristic
338Dic53—22no—
339Dic53—22no—
340Dic53—22no—
341Dic53—42no—
342Dic53—42no—
343Dic53—42no—
344Dic53—42no—
345C2×#529—531no—
346C22×#125—531no—
347#3232—5316no—
348C2×#499—531no—
349C2×#499—531no—
350C2×#488—531no—
351C2×#488D5311yescharacteristic, complemented
352C2×#484—531no—
353C2×#481—531no—
354C2×#483—531no—
355C2×#480—531no—
356C2×#479—531no—
357C2×#479—531no—
358C2×#478—531no—
359C2×#478—531no—
360C2×#431—531no—
361C2×C53—82no—
362C2×C53#323214yescomplemented
363C2×C53C2×#53611yescharacteristic
364C2×C53C22×#13511yescharacteristic
365C2×C53C2×#57511yescharacteristic
366D53—24no—
367#529—538no—
368#529—1064no—
369C2×#126—1061no—
370C2×#125—538no—
371C2×#125—531no—
372C2×#125—531no—
373C2×#125—531no—
374C2×#125—531no—
375C2×#125—1061no—
376C2×#125—1061no—
377C2×#125—1064no—
378C2×#125C2×D5311yescharacteristic
379C2×#124C2×D5311yescharacteristic
380C2×#123—1061no—
381C2×C22⋊Q8—531no—
382C2×#121—531no—
383C2×C4×Q8—531no—
384C2×C4×D4—531no—
385C2×C4×D4—1061no—
386C2×#117—1061no—
387C22×C4⋊C4—531no—
388C22×C4⋊C4—531no—
389C22×C4⋊C4—1061no—
390C22×C4⋊C4—1061no—
391C22×C42—531no—
392#499—538no—
393#499—538no—
394#488—538no—
395#488C2×D5318yescomplemented
396#484—538no—
397#483—538no—
398#481—538no—
399#480—538no—
400#479—538no—
401#479—538no—
402#478—538no—
403#478—538no—
404#431—538no—
405C2×#107—531no—
406C2×#107—531no—
407C2×#107—531no—
408C2×#107—531no—
409C2×#106—531no—
410C2×#106—531no—
411C2×#106—531no—
412C2×#106—531no—
413C2×C4⋊C8—531no—
414C2×C4⋊C8—531no—
415C2×#103—531no—
416C2×#103—531no—
417C2×#103C2×D5311yescharacteristic
418C2×#103C2×D5311yescharacteristic
419C2×#102—531no—
420C2×#102—531no—
421C2×#102C2×D5311yescharacteristic
422C2×#102C2×D5311yescharacteristic
423C2×C22⋊C8—531no—
424C2×C22⋊C8—531no—
425C2×C4×C8—531no—
426C2×C4×C8C2×D5311yescharacteristic
427C53C2×#323211yescharacteristic, complemented, Sylow
428C22×Q8C22×D5311yescharacteristic
429C22×D4—1061no—
430C22×D4C22×D5311yescharacteristic
431C23×C4—531no—
432C23×C4—531no—
433C23×C4—531no—
434C23×C4—1061no—
435C23×C4—1061no—
436C23×C4—1061no—
437C22×C8—531no—
438C22×C8—531no—
439C22×C8C22×D5311yescharacteristic
440C22×C8C22×D5311yescharacteristic
441#126—1068no—
442#125—22no—
443#125—534no—
444#125—534no—
445#125—534no—
446#125—534no—
447#125—1068no—
448#125—1068no—
449#125—1062no—
450#125—1062no—
451#125—1062no—
452#125—1062no—
453#125C22×D5314yes—
454#124—22no—
455#124C22×D5314yes—
456#123—1068no—
457C22⋊Q8—534no—
458C22⋊Q8—1062no—
459#121—534no—
460#121—1062no—
461C4×Q8—534no—
462C4×Q8—1062no—
463C4×D4—534no—
464C4×D4—1062no—
465C4×D4—1068no—
466#117—1068no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—531no—
470C2×C4⋊C4—531no—
471C2×C4⋊C4—531no—
472C2×C4⋊C4—531no—
473C2×C4⋊C4—534no—
474C2×C4⋊C4—534no—
475C2×C4⋊C4—1062no—
476C2×C4⋊C4—1062no—
477C2×C4⋊C4—1068no—
478C2×C4⋊C4—1068no—
479C2×C4⋊C4—1061no—
480C2×C4⋊C4—1061no—
481C2×C4⋊C4—1061no—
482C2×C4⋊C4—1061no—
483C2×C4⋊C4—1061no—
484C2×C4⋊C4—1061no—
485C2×C4⋊C4—1061no—
486C2×C4⋊C4—1061no—
487C2×C4⋊C4—1061no—
488C2×C4⋊C4—1061no—
489C2×C4⋊C4—1061no—
490C2×C4⋊C4—1061no—
491C2×C4⋊C4C22×D5311yescharacteristic
492C2×C4⋊C4C22×D5311yescharacteristic
493C2×C22⋊C4—21no—
494C2×C22⋊C4—21no—
495C2×C22⋊C4—1061no—
496C2×C22⋊C4—1061no—
497C2×C22⋊C4—1061no—
498C2×C42—531no—
499C2×C42—531no—
500C2×C42—531no—
501C2×C42—534no—
502C2×C42—534no—
503C2×C42—1061no—
504C2×C42C22×D5311yescharacteristic
505#107—534no—
506#107—534no—
507#107—534no—
508#107—534no—
509#106—534no—
510#106—534no—
511#106—534no—
512#106—534no—
513C4⋊C8—534no—
514C4⋊C8—534no—
515#103—534no—
516#103—534no—
517#103C22×D5314yes—
518#103C22×D5314yes—
519#102—534no—
520#102—534no—
521#102C22×D5314yes—
522#102C22×D5314yes—
523C22⋊C8—534no—
524C22⋊C8—534no—
525C4×C8—534no—
526C4×C8C22×D5314yes—
527C24—21no—
528C24—531no—
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8C23×D5312yes—
533C2×D4—21no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—1064no—
537C2×D4—2124no—
538C2×D4C23×D5312yes—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—531no—
543C22×C4—531no—
544C22×C4—531no—
545C22×C4—532no—
546C22×C4—534no—
547C22×C4—532no—
548C22×C4—534no—
549C22×C4—1064no—
550C22×C4—1064no—
551C22×C4—1064no—
552C22×C4—1064no—
553C22×C4—1062no—
554C22×C4—1062no—
555C22×C4—1061no—
556C22×C4—1061no—
557C22×C4—1061no—
558C22×C4—1061no—
559C22×C4—2122no—
560C22×C4—2124no—
561C22×C4—2124no—
562C22×C4—2124no—
563C22×C4D4×D5311yescharacteristic
564C22×C4D4×D5311yescharacteristic
565C22×C4C23×D5311yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—532no—
569C2×C8—532no—
570C2×C8—1062no—
571C2×C8—1062no—
572C2×C8C23×D5312yes—
573C2×C8C23×D5312yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—532no—
579C4⋊C4—532no—
580C4⋊C4—532no—
581C4⋊C4—532no—
582C4⋊C4—1064no—
583C4⋊C4—1064no—
584C4⋊C4—1064no—
585C4⋊C4—1064no—
586C4⋊C4—1064no—
587C4⋊C4—1064no—
588C4⋊C4—1064no—
589C4⋊C4—1064no—
590C4⋊C4—1061no—
591C4⋊C4—1061no—
592C4⋊C4—1061no—
593C4⋊C4—1061no—
594C4⋊C4—1064no—
595C4⋊C4—1064no—
596C4⋊C4—1064no—
597C4⋊C4—1064no—
598C4⋊C4C23×D5312yes—
599C4⋊C4C23×D5312yes—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—1064no—
603C22⋊C4—1064no—
604C22⋊C4—1064no—
605C42—534no—
606C42—532no—
607C42—534no—
608C42—532no—
609C42—1064no—
610C42D4×D5312yes—
611C42C23×D5312yes—
612C23—22no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—534no—
617C23—532no—
618C23—1062no—
619C23—1062no—
620C23C2×D4×D5311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624D4—22no—
625D4—22no—
626D4—42no—
627D4—2128no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—532no—
637C2×C4—532no—
638C2×C4—532no—
639C2×C4—1068no—
640C2×C4—1062no—
641C2×C4—1062no—
642C2×C4—1062no—
643C2×C4—1064no—
644C2×C4—1062no—
645C2×C4—1062no—
646C2×C4—1062no—
647C2×C4—1062no—
648C2×C4—1062no—
649C2×C4—1062no—
650C2×C4—2124no—
651C2×C4—2128no—
652C2×C4—2128no—
653C2×C4—2128no—
654C2×C4—2122no—
655C2×C4—2122no—
656C2×C4—2122no—
657C2×C4—2122no—
658C2×C4C2×D4×D5312yes—
659C2×C4C2×D4×D5312yes—
660C2×C4C2×D4×D5311yescharacteristic
661C2×C4#1313326412yes—
662C2×C4#1313326412yes—
663C2×C4C24×D5311yescharacteristic
664C8—22no—
665C8—22no—
666C8—1062no—
667C8—1062no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—84no—
672C22—534no—
673C22—1062no—
674C22—1062no—
675C22—1068no—
676C22#1681119312yes—
677C22#135×D5312yes—
678C22#1681142012yes—
679C22C22×D4×D5311yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—1062no—
686C4—1062no—
687C4—1062no—
688C4—2122no—
689C4—2122no—
690C4—2122no—
691C4—2122no—
692C4#1681119312yes—
693C4C2×#1313326411yescharacteristic
694C4C2×#1313326411yescharacteristic
695C2—82no—
696C2—1064no—
697C2#2028587814yesdirect product factor
698C2C2×#1681119311yescharacteristic
699C2C2×#135×D5311yescharacteristic
700C2C2×#1681142011yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC2×C53×#488C2
socleC23×C53C22×D4
prime radicalC2×#13133188C22
hypercenterC2×#488D53
hypocenterC53C2×#3232
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#488

Complements

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

NH ≅ G/Ntype
2. C2×#125×D53C2semidirect
3. #20285878C2direct (N × H)
4. C2×#16811025C2semidirect
5. C2×#16811022C2semidirect
6. C2×#16810977C2semidirect
7. C2×#16810957C2semidirect
9. C2×#16810952C2semidirect
11. C2×#16810932C2semidirect
12. C2×#16810928C2semidirect
13. C2×#16810925C2semidirect
14. C2×#16810921C2semidirect
15. C2×#16810674C2semidirect
16. C2×C53×#488C2semidirect
27. #125×D53C22semidirect
40. #16811025C22semidirect
41. #16811022C22semidirect
42. #16810977C22semidirect
43. #16810957C22semidirect
44. #16810952C22semidirect
47. #16810932C22semidirect
48. #16810928C22semidirect
49. #16810925C22semidirect
50. #16810921C22semidirect
51. #16810674C22semidirect
71. C53×#488C22semidirect
351. C2×#488D53semidirect
362. C2×C53#3232semidirect
395. #488C2×D53semidirect
427. C53C2×#3232semidirect
697. C2#20285878direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168111522
C2×#125×D532
#202858782
C2×#168110252
C2×#168110222
C2×#168109772
C2×#168109572
C2×#168109402
C2×#168109522
C2×#168109352
C2×#168109322
C2×#168109282
C2×#168109252
C2×#168109212
C2×#168106742
C2×C53×#4882
C2×#323253