Finite Group Databasebeta

← C2×#20285959 #28256257

Subgroups — C2×#20285959 #28256257

Order 13568.

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×#16811176C211yesmaximal, characteristic, complemented
2C2×#16811159C211yesmaximal, characteristic
3#20285959C2116yesmaximal, direct product factor
4C2×#16811031C211yesmaximal, characteristic, complemented
5C2×#16811030C211yesmaximal, characteristic, complemented
6C2×#16810984C211yesmaximal, characteristic, complemented
7C2×#16810984C211yesmaximal, characteristic, complemented
8C2×#16810961C211yesmaximal, characteristic, complemented
9C2×#16810948C211yesmaximal, characteristic
10C2×#16810947C211yesmaximal, characteristic
11C2×#16810932C211yesmaximal, characteristic, complemented
12C2×#16810928C211yesmaximal, characteristic, complemented
13C2×#16810926C211yesmaximal, characteristic, complemented
14C2×#16810922C211yesmaximal, characteristic, complemented
15C2×#16810677C211yesmaximal, characteristic, complemented
16C2×C53×#485C211yesmaximal, characteristic, complemented
17#16811176—24no—
18#16811176C2218yescomplemented
19C2×#13133216C2211yescharacteristic
20C2×#13133216C2211yescharacteristic
21#16811159—24no—
22#16811159C2218yes—
23C2×#13133212—21no—
24C2×#13133208C2211yescharacteristic
25C2×#13133208C2211yescharacteristic
26C2×#13133208C2211yescharacteristic
27C2×#13133206C2211yescharacteristic
28C2×#13133201—21no—
29C2×#13133194—21no—
30C2×#13133194—21no—
31C2×#13133191C2211yescharacteristic
32C2×Q8×Dic53C2211yescharacteristic
33C2×C4×Dic106—21no—
34C2×C4×Dic106—21no—
35C2×#13133179C2211yescharacteristic
36C2×#13133177—21no—
37C2×#13133176C2211yescharacteristic
38C2×#13133175—21no—
39C22×C4×Dic53C2211yescharacteristic
40#16811031C2218yescomplemented
41#16811030C2218yescomplemented
42#16810984C2218yescomplemented
43#16810984C2218yescomplemented
44#16810961C2218yescomplemented
45#16810948C2218yes—
46#16810947C2218yes—
47#16810932C2218yescomplemented
48#16810928C2218yescomplemented
49#16810926C2218yescomplemented
50#16810922C2218yescomplemented
51#16810677C2218yescomplemented
52C2×#13133151C2211yescharacteristic
53C2×#13133150C2211yescharacteristic
54C2×#13133150C2211yescharacteristic
55C2×#13133149C2211yescharacteristic
56C2×#13133148C2211yescharacteristic
57C2×#13133148C2211yescharacteristic
58C2×#13133146C2211yescharacteristic
59C2×#13133146C2211yescharacteristic
60C2×#13133141C2211yescharacteristic
61C2×#13133141C2211yescharacteristic
62C2×#13133139C2211yescharacteristic
63C2×#13133139C2211yescharacteristic
64C2×#13133137C2211yescharacteristic
65C2×#13133137C2211yescharacteristic
66C2×C22⋊#88322C2211yescharacteristic
67C2×#13133127C2211yescharacteristic
68C2×#13133127C2211yescharacteristic
69C2×C22⋊Q8×C53C2211yescharacteristic
70C2×#117×C53C2211yescharacteristic
71C53×#485C2218yescomplemented
72C2×#107×C53C2211yescharacteristic
73C2×#106×C53C2211yescharacteristic
74C2×#103×C53C2211yescharacteristic
75C2×#103×C53C2211yescharacteristic
76C2×C22⋊C8×C53C2211yescharacteristic
77C22×Dic106—21no—
78C22×Dic106—21no—
79C22×D212C2311yescharacteristic
80C22×C22⋊D53—21no—
81C23×Dic53D411yescharacteristic
82C23×Dic53D411yescharacteristic
83C22×C4×D53—21no—
84C22×#88322C2311yescharacteristic
85C22×#88322C2311yescharacteristic
86#13133216—22no—
87#13133216—22no—
88#13133216C2314yes—
89#13133216C2314yes—
90#13133212—28no—
91#13133208—22no—
92#13133208—22no—
93#13133208—22no—
94#13133208C2314yes—
95#13133208C2314yes—
96#13133208C2314yes—
97#13133206—22no—
98#13133206C2314yes—
99#13133201—28no—
100#13133194—28no—
101#13133194—28no—
102#13133191—22no—
103#13133191C2314yes—
104Q8×Dic53—22no—
105Q8×Dic53C2314yes—
106C4×Dic106—28no—
107C4×Dic106—28no—
108#13133179—22no—
109#13133179C2314yes—
110#13133177—28no—
111#13133176—22no—
112#13133176C2314yes—
113#13133175—28no—
114C2×C4⋊Dic53—21no—
115C2×C4⋊Dic53—21no—
116C2×C4⋊Dic53—21no—
117C2×C4⋊Dic53—21no—
118C2×C4⋊Dic53C2311yescharacteristic
119C2×C4⋊Dic53C2311yescharacteristic
120C2×C4⋊Dic53C2311yescharacteristic
121C2×#11719919—21no—
122C2×#11719919—21no—
123C2×#11719919—21no—
124C2×#11719919—21no—
125C2×#11719919—21no—
126C2×C22⋊Dic53—21no—
127C2×#11719921—21no—
128C2×#11719921—21no—
129C2×#11719921—21no—
130C2×#11719921—21no—
131C2×C4×Dic53—21no—
132C2×C4×Dic53—21no—
133C2×C4×Dic53D411yescharacteristic
134C2×C4×Dic53D411yescharacteristic
135C2×C4×Dic53D414yes—
136C2×C4×Dic53C2311yescharacteristic
137C2×C4×Dic53C2311yescharacteristic
138C2×C4×Dic53C2314yes—
139#13133151C2314yes—
140#13133150C2314yes—
141#13133150C2314yes—
142#13133149C2314yes—
143#13133148C2314yes—
144#13133148C2314yes—
145#13133146C2314yes—
146#13133146C2314yes—
147#13133141C2314yes—
148#13133141C2314yes—
149#13133139C2314yes—
150#13133139C2314yes—
151#13133137C2314yes—
152#13133137C2314yes—
153C22⋊#88322C2314yes—
154#13133127C2314yes—
155#13133127C2314yes—
156C22×Q8×C53C2311yescharacteristic
157C23×C4×C53C2311yescharacteristic
158C22×C8×C53C2311yescharacteristic
159C22×C8×C53C2311yescharacteristic
160C22⋊Q8×C53—22no—
161C22⋊Q8×C53C2314yes—
162#117×C53—22no—
163#117×C53C2314yes—
164C2×C4⋊C4×C53—21no—
165C2×C4⋊C4×C53C2311yescharacteristic
166C2×C4⋊C4×C53C2311yescharacteristic
167C2×C4⋊C4×C53C2311yescharacteristic
168C2×C22⋊C4×C53—21no—
169C2×C22⋊C4×C53—21no—
170C2×C42×C53—21no—
171#107×C53C2314yes—
172#106×C53C2314yes—
173#103×C53C2314yes—
174#103×C53C2314yes—
175C22⋊C8×C53C2314yes—
176C24×C53C2×D411yescharacteristic
177C23×D53—21no—
178C2×Q8×C53—21no—
179C2×Q8×C53—22no—
180C2×Q8×C53—22no—
181C2×Q8×C53C2412yes—
182C22×C4×C53—22no—
183C22×C4×C53—22no—
184C22×C4×C53—21no—
185C22×C4×C53—21no—
186C22×C4×C53—21no—
187C22×C4×C53—21no—
188C22×C4×C53C2×D411yescharacteristic
189C22×C4×C53C2×D412yes—
190C22×C4×C53C2412yes—
191C22×C4×C53C2411yescharacteristic
192C2×C22⋊D53—24no—
193C2×C22⋊D53—44no—
194C22×Dic53—21no—
195C22×Dic53—21no—
196C22×Dic53—21no—
197C22×Dic53—42no—
198C22×Dic53—42no—
199C22×Dic53C2×D411yescharacteristic
200C22×Dic53C2×D411yescharacteristic
201C22×Dic53C2×D411yescharacteristic
202C22×Dic53C2×D411yescharacteristic
203C22×Dic53C2×D414yes—
204C22×Dic53C2×D414yes—
205C2×D212—22no—
206C2×D212—22no—
207C2×D212—21no—
208C2×D212C2412yes—
209C2×C4×D53—24no—
210C2×C4×D53—44no—
211C2×Dic106—24no—
212C2×Dic106—24no—
213C2×Dic106—44no—
214C2×Dic106—44no—
215C2×C8×C53—22no—
216C2×C8×C53—22no—
217C2×C8×C53C2412yes—
218C2×C8×C53C2412yes—
219C4⋊C4×C53—24no—
220C4⋊C4×C53—21no—
221C4⋊C4×C53—21no—
222C4⋊C4×C53—21no—
223C4⋊C4×C53C2412yes—
224C4⋊C4×C53C2412yes—
225C4⋊C4×C53C2412yes—
226C22⋊C4×C53—24no—
227C22⋊C4×C53—24no—
228C42×C53—24no—
229C22⋊Dic53—24no—
230#11719921—24no—
231#11719921—24no—
232#11719921—24no—
233#11719921—24no—
234C4⋊Dic53—21no—
235C4⋊Dic53—21no—
236C4⋊Dic53—21no—
237C4⋊Dic53—24no—
238C4⋊Dic53—24no—
239C4⋊Dic53—24no—
240C4⋊Dic53—24no—
241C4⋊Dic53C2412yes—
242C4⋊Dic53C2412yes—
243C4⋊Dic53C2412yes—
244#11719919—24no—
245#11719919—24no—
246#11719919—24no—
247#11719919—24no—
248#11719919—24no—
249C4×Dic53—24no—
250C4×Dic53—24no—
251C4×Dic53C2×D414yes—
252C4×Dic53C2×D412yes—
253C4×Dic53C2×D414yes—
254C4×Dic53C2×D412yes—
255C4×Dic53C2412yes—
256C4×Dic53C2412yes—
257C2×#88322—22no—
258C2×#88322—22no—
259C2×#88322C2412yes—
260C2×#88322C2412yes—
261C23×C53—22no—
262C23×C53—22no—
263C23×C53—22no—
264C23×C53C22×D412yes—
265C23×C53C22×D411yescharacteristic
266C22×D53—22no—
267C22×D53—42no—
268C22×D53—42no—
269C22×D53—42no—
270Q8×C53—22no—
271Q8×C53—22no—
272Q8×C53—42no—
273C2×C4×C53—22no—
274C2×C4×C53—24no—
275C2×C4×C53—22no—
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×C53—42no—
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—44no—
299C2×Dic53—44no—
300C2×Dic53—42no—
301C2×Dic53—42no—
302C2×Dic53—42no—
303C2×Dic53C22×D412yes—
304C2×Dic53C22×D412yes—
305C2×Dic53C22×D412yes—
306C2×Dic53C22×D412yes—
307D212—22no—
308D212—22no—
309D212—42no—
310C4×D53—48no—
311Dic106—48no—
312Dic106—48no—
313C8×C53—22no—
314C8×C53—22no—
315#88322—22no—
316#88322—22no—
317C2×#3240—531nomaximal, Sylow
318C22×C53—22no—
319C22×C53—22no—
320C22×C53—22no—
321C22×C53—44no—
322C22×C53#53612yes—
323C22×C53#57512yes—
324C22×C53#57512yes—
325C22×C53C23×D411yescharacteristic
326C2×D53—42no—
327C2×D53—42no—
328C2×D53—42no—
329C2×D53—84no—
330C4×C53—22no—
331C4×C53—42no—
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—22no—
342Dic53—42no—
343Dic53—42no—
344Dic53—42no—
345C2×#533—531no—
346C2×#529—531no—
347#3240—5316no—
348C2×#501—531no—
349C2×#501—531no—
350C2×#489—531no—
351C2×#489—531no—
352C2×#485—531no—
353C2×#485D5311yescharacteristic, complemented
354C2×#482—531no—
355C2×#482—531no—
356C2×#479—531no—
357C2×#479—531no—
358C2×#478—531no—
359C2×#478—531no—
360C2×#432—531no—
361C2×C53—42no—
362C2×C53#324014yescomplemented
363C2×C53C2×#53611yescharacteristic
364C2×C53C2×#57511yescharacteristic
365C2×C53C2×#57511yescharacteristic
366D53—82no—
367#533—538no—
368#533—1064no—
369C2×C4⋊Q8—531no—
370C2×C4⋊Q8—531no—
371#529—538no—
372#529—1064no—
373C2×#126—1061no—
374C2×#125—531no—
375C2×#125—531no—
376C2×#125—531no—
377C2×#124—531no—
378C2×#123—1061no—
379C2×C22⋊Q8—1061no—
380C2×C22⋊Q8—1061no—
381C2×C22⋊Q8C2×D5311yescharacteristic
382C2×#121—531no—
383C2×C4×Q8—531no—
384C2×C4×Q8—1061no—
385C2×C4×Q8—1061no—
386C2×C4×D4—531no—
387C2×C4×D4—1061no—
388C2×#117—531no—
389C2×#117—1061no—
390C2×#117C2×D5311yescharacteristic
391C22×C42—531no—
392#501—538no—
393#501—538no—
394#489—538no—
395#489—538no—
396#485—538no—
397#485C2×D5318yescomplemented
398#482—538no—
399#482—538no—
400#479—538no—
401#479—538no—
402#478—538no—
403#478—538no—
404#432—538no—
405C2×#107—531no—
406C2×#107—531no—
407C2×#107—531no—
408C2×#107C2×D5311yescharacteristic
409C2×#106—531no—
410C2×#106—531no—
411C2×#106—531no—
412C2×#106C2×D5311yescharacteristic
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×#102—531no—
422C2×#102—531no—
423C2×C22⋊C8—531no—
424C2×C22⋊C8C2×D5311yescharacteristic
425C2×#97—531no—
426C2×#97—531no—
427C53C2×#324011yescharacteristic, complemented, Sylow
428C22×Q8—1061no—
429C22×Q8—1061no—
430C22×Q8C22×D5311yescharacteristic
431C22×D4—531no—
432C22×D4—1061no—
433C23×C4—531no—
434C23×C4—531no—
435C23×C4—1061no—
436C23×C4C22×D5311yescharacteristic
437C22×C8—531no—
438C22×C8—531no—
439C22×C8C22×D5311yescharacteristic
440C22×C8C22×D5311yescharacteristic
441C4⋊Q8—534no—
442C4⋊Q8—534no—
443C4⋊Q8—1062no—
444C4⋊Q8—1062no—
445#126—1068no—
446#125—534no—
447#125—534no—
448#125—534no—
449#125—1062no—
450#125—1062no—
451#125—1062no—
452#124—534no—
453#124—1062no—
454#123—1068no—
455C22⋊Q8—22no—
456C22⋊Q8—1068no—
457C22⋊Q8—1068no—
458C22⋊Q8C22×D5314yes—
459#121—534no—
460#121—1062no—
461C4×Q8—534no—
462C4×Q8—1068no—
463C4×Q8—1068no—
464C4×Q8—1062no—
465C4×D4—534no—
466C4×D4—1062no—
467C4×D4—1068no—
468#117—22no—
469#117—534no—
470#117—1068no—
471#117—1062no—
472#117C22×D5314yes—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—531no—
475C2×C4⋊C4—531no—
476C2×C4⋊C4—531no—
477C2×C4⋊C4—1061no—
478C2×C4⋊C4—1061no—
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⋊C4C22×D5311yescharacteristic
487C2×C4⋊C4C22×D5311yescharacteristic
488C2×C4⋊C4C22×D5311yescharacteristic
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—1061no—
492C2×C22⋊C4—1061no—
493C2×C22⋊C4—1061no—
494C2×C22⋊C4—1061no—
495C2×C22⋊C4—1061no—
496C2×C42—21no—
497C2×C42—531no—
498C2×C42—531no—
499C2×C42—534no—
500C2×C42—531no—
501C2×C42—531no—
502C2×C42—534no—
503C2×C42—1061no—
504C2×C42—1061no—
505#107—534no—
506#107—534no—
507#107—534no—
508#107C22×D5314yes—
509#106—534no—
510#106—534no—
511#106—534no—
512#106C22×D5314yes—
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#102—534no—
522#102—534no—
523C22⋊C8—534no—
524C22⋊C8C22×D5314yes—
525#97—534no—
526#97—534no—
527C24—1061no—
528C24D4×D5311yescharacteristic
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—1064no—
533C2×Q8—1064no—
534C2×Q8—2124no—
535C2×Q8—2124no—
536C2×Q8C23×D5312yes—
537C2×D4—532no—
538C2×D4—1064no—
539C2×D4—1061no—
540C2×D4—1062no—
541C2×D4—1062no—
542C2×D4—2124no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—531no—
550C22×C4—531no—
551C22×C4—531no—
552C22×C4—531no—
553C22×C4—534no—
554C22×C4—534no—
555C22×C4—1064no—
556C22×C4—1061no—
557C22×C4—1061no—
558C22×C4—1061no—
559C22×C4—2124no—
560C22×C4—2122no—
561C22×C4—2122no—
562C22×C4D4×D5312yes—
563C22×C4D4×D5311yescharacteristic
564C22×C4C23×D5312yes—
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—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—532no—
579C4⋊C4—532no—
580C4⋊C4—532no—
581C4⋊C4—1064no—
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⋊C4C23×D5312yes—
594C4⋊C4C23×D5312yes—
595C4⋊C4C23×D5312yes—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—1064no—
599C22⋊C4—1064no—
600C22⋊C4—1064no—
601C22⋊C4—1064no—
602C22⋊C4—1064no—
603C42—24no—
604C42—534no—
605C42—532no—
606C42—534no—
607C42—532no—
608C42—532no—
609C42—532no—
610C42—1064no—
611C42—1064no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—1062no—
616C23—2122no—
617C23—2122no—
618C23—2122no—
619C23C2×D4×D5312yes—
620C23C2×D4×D5311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—2128no—
625Q8—2128no—
626D4—1062no—
627D4—1062no—
628D4—2128no—
629D4—2122no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—532no—
643C2×C4—532no—
644C2×C4—532no—
645C2×C4—532no—
646C2×C4—1062no—
647C2×C4—1062no—
648C2×C4—1062no—
649C2×C4—1062no—
650C2×C4—1062no—
651C2×C4—1062no—
652C2×C4—1062no—
653C2×C4—2128no—
654C2×C4—2124no—
655C2×C4—2124no—
656C2×C4—2122no—
657C2×C4—2122no—
658C2×C4—2122no—
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—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—4244no—
673C22—2122no—
674C22—2122no—
675C22—2122no—
676C22#1681119512yes—
677C22#1681142012yes—
678C22#1681142212yes—
679C22C22×D4×D5311yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—1062no—
686C4—1062no—
687C4—1062no—
688C4—1062no—
689C4—2122no—
690C4—2122no—
691C4—2122no—
692C4#1681119512yes—
693C4C2×#1313326411yescharacteristic
694C4C2×#1313326411yescharacteristic
695C2—42no—
696C2—4242no—
697C2#2028595914yesdirect product factor
698C2C2×#1681119511yescharacteristic
699C2C2×#1681142011yescharacteristic
700C2C2×#1681142211yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC2×C53×#485C2
socleC23×C53C22×D4
prime radicalC2×#13133191C22
hypercenterC2×#485D53
hypocenterC53C2×#3240
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#485

Complements

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

NH ≅ G/Ntype
1. C2×#16811176C2semidirect
3. #20285959C2direct (N × H)
4. C2×#16811031C2semidirect
5. C2×#16811030C2semidirect
6. C2×#16810984C2semidirect
7. C2×#16810984C2semidirect
8. C2×#16810961C2semidirect
11. C2×#16810932C2semidirect
12. C2×#16810928C2semidirect
13. C2×#16810926C2semidirect
14. C2×#16810922C2semidirect
15. C2×#16810677C2semidirect
16. C2×C53×#485C2semidirect
18. #16811176C22semidirect
40. #16811031C22semidirect
41. #16811030C22semidirect
42. #16810984C22semidirect
43. #16810984C22semidirect
44. #16810961C22semidirect
47. #16810932C22semidirect
48. #16810928C22semidirect
49. #16810926C22semidirect
50. #16810922C22semidirect
51. #16810677C22semidirect
71. C53×#485C22semidirect
353. C2×#485D53semidirect
362. C2×C53#3240semidirect
397. #485C2×D53semidirect
427. C53C2×#3240semidirect
697. C2#20285959direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168111762
C2×#168111592
#202859592
C2×#168110312
C2×#168110302
C2×#168109842
C2×#168109612
C2×#168109482
C2×#168109472
C2×#168109322
C2×#168109282
C2×#168109262
C2×#168109222
C2×#168106772
C2×C53×#4852
C2×#324053