Finite Group Databasebeta

← C2×#20285919 #28256204

Subgroups — C2×#20285919 #28256204

Order 13568.

1770 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×#16811177C211yesmaximal, characteristic
2C2×#125×D53C211yesmaximal, characteristic
3#20285919C2116yesmaximal, direct product factor
4C2×#16811031C211yesmaximal, characteristic, complemented
5C2×#16811030C211yesmaximal, characteristic, complemented
6C2×#16810990C211yesmaximal, characteristic, complemented
7C2×#16810990C211yesmaximal, characteristic, complemented
8C2×#16810960C211yesmaximal, characteristic
9C2×#16810957C211yesmaximal, characteristic
10C2×#16810955C211yesmaximal, characteristic
11C2×#16810952C211yesmaximal, characteristic
12C2×#16810931C211yesmaximal, characteristic, complemented
13C2×#16810930C211yesmaximal, characteristic, complemented
14C2×#16810927C211yesmaximal, characteristic, complemented
15C2×#16810679C211yesmaximal, characteristic
16C2×C53×#479C211yesmaximal, characteristic, complemented
17#16811177—24no—
18#16811177C2218yes—
19C2×#13133216C2211yescharacteristic
20C2×#13133215C2211yescharacteristic
21C2×#13133209C2211yescharacteristic
22C2×#13133208C2211yescharacteristic
23C2×#13133208C2211yescharacteristic
24C2×#13133207—21no—
25C2×#13133207—21no—
26C2×#13133207—21no—
27#125×D53—24no—
28#125×D53C2218yes—
29C2×#13133197C2211yescharacteristic
30C2×#13133195—21no—
31C2×#13133193C2211yescharacteristic
32C2×C4×Dic106—21no—
33C2×C4×Dic106C2211yescharacteristic
34C2×#13133174—21no—
35C2×C4⋊C4×D53—21no—
36C2×C4⋊C4×D53—21no—
37C2×C4⋊C4×D53C2211yescharacteristic
38C2×C4⋊C4×D53C2211yescharacteristic
39C2×C42×D53C2211yescharacteristic
40#16811031C2218yescomplemented
41#16811030C2218yescomplemented
42#16810990C2218yescomplemented
43#16810990C2218yescomplemented
44#16810960C2218yes—
45#16810957C2218yes—
46#16810955C2218yes—
47#16810952C2218yes—
48#16810931C2218yescomplemented
49#16810930C2218yescomplemented
50#16810927C2218yescomplemented
51#16810679C2218yes—
52C2×#13133151C2211yescharacteristic
53C2×#13133150C2211yescharacteristic
54C2×#13133150C2211yescharacteristic
55C2×#13133149C2211yescharacteristic
56C2×#13133148C2211yescharacteristic
57C2×#13133148C2211yescharacteristic
58C2×C4⋊#88322C2211yescharacteristic
59C2×#13133142C2211yescharacteristic
60C2×#13133142C2211yescharacteristic
61C2×#13133141C2211yescharacteristic
62C2×#13133141C2211yescharacteristic
63C2×#13133140C2211yescharacteristic
64C2×#13133140C2211yescharacteristic
65C2×#13133129C2211yescharacteristic
66C2×#13133129C2211yescharacteristic
67C2×#13133127C2211yescharacteristic
68C2×#13133127C2211yescharacteristic
69C2×#125×C53C2211yescharacteristic
70C2×C4×Q8×C53C2211yescharacteristic
71C53×#479C2218yescomplemented
72C2×#107×C53C2211yescharacteristic
73C2×#106×C53C2211yescharacteristic
74C2×C4⋊C8×C53C2211yescharacteristic
75C2×#103×C53C2211yescharacteristic
76C2×#103×C53C2211yescharacteristic
77C22×Dic106—21no—
78C22×Dic106C2311yescharacteristic
79C22×C4×D53—21no—
80C22×C4×D53—21no—
81C22×C4×D53D411yescharacteristic
82C22×C4×D53D411yescharacteristic
83C22×C4×D53C2311yescharacteristic
84C22×#88322C2311yescharacteristic
85C22×#88322C2311yescharacteristic
86#13133216—22no—
87#13133216C2314yes—
88#13133215—22no—
89#13133215C2314yes—
90#13133209—22no—
91#13133209C2314yes—
92#13133208—22no—
93#13133208—22no—
94#13133208C2314yes—
95#13133208C2314yes—
96#13133207—28no—
97#13133207—28no—
98#13133207—28no—
99#13133197—22no—
100#13133197C2314yes—
101#13133195—28no—
102#13133193—22no—
103#13133193C2314yes—
104C4×Dic106—22no—
105C4×Dic106—28no—
106C4×Dic106C2314yes—
107#13133174—28no—
108C2×C4⋊Dic53—21no—
109C2×C4⋊Dic53—21no—
110C2×C4⋊Dic53—21no—
111C2×C4⋊Dic53C2311yescharacteristic
112C2×C4⋊Dic53C2311yescharacteristic
113C2×C4⋊Dic53C2311yescharacteristic
114C2×#11719919—21no—
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—
124C2×#11719919—21no—
125C4⋊C4×D53—28no—
126C4⋊C4×D53—28no—
127C4⋊C4×D53—22no—
128C4⋊C4×D53—22no—
129C4⋊C4×D53C2314yes—
130C4⋊C4×D53C2314yes—
131C2×#11719921—21no—
132C2×#11719921—21no—
133C2×C4×Dic53—21no—
134C2×C4×Dic53D411yescharacteristic
135C2×C4×Dic53D411yescharacteristic
136C2×C4×Dic53C2311yescharacteristic
137C42×D53D414yes—
138C42×D53C2314yes—
139#13133151C2314yes—
140#13133150C2314yes—
141#13133150C2314yes—
142#13133149C2314yes—
143#13133148C2314yes—
144#13133148C2314yes—
145C4⋊#88322C2314yes—
146#13133142C2314yes—
147#13133142C2314yes—
148#13133141C2314yes—
149#13133141C2314yes—
150#13133140C2314yes—
151#13133140C2314yes—
152#13133129C2314yes—
153#13133129C2314yes—
154#13133127C2314yes—
155#13133127C2314yes—
156C22×Q8×C53C2311yescharacteristic
157C22×C8×C53C2311yescharacteristic
158C22×C8×C53C2311yescharacteristic
159#125×C53—22no—
160#125×C53C2314yes—
161C4×Q8×C53—22no—
162C4×Q8×C53C2314yes—
163C2×C4⋊C4×C53—21no—
164C2×C4⋊C4×C53—21no—
165C2×C4⋊C4×C53—21no—
166C2×C4⋊C4×C53C2311yescharacteristic
167C2×C4⋊C4×C53C2311yescharacteristic
168C2×C4⋊C4×C53C2311yescharacteristic
169C2×C42×C53—21no—
170C2×C42×C53C2311yescharacteristic
171#107×C53C2314yes—
172#106×C53C2314yes—
173C4⋊C8×C53C2314yes—
174#103×C53C2314yes—
175#103×C53C2314yes—
176C23×D53C2×D411yescharacteristic
177C2×Q8×C53—21no—
178C2×Q8×C53—22no—
179C2×Q8×C53—22no—
180C2×Q8×C53C2412yes—
181C22×C4×C53—21no—
182C22×C4×C53—21no—
183C22×C4×C53—21no—
184C22×C4×C53—21no—
185C22×C4×C53C2×D411yescharacteristic
186C22×C4×C53C2×D411yescharacteristic
187C22×C4×C53C2411yescharacteristic
188C22×Dic53—21no—
189C22×Dic53—21no—
190C22×Dic53—21no—
191C22×Dic53—21no—
192C22×Dic53C2×D411yescharacteristic
193C22×Dic53C2×D411yescharacteristic
194C22×Dic53C2×D411yescharacteristic
195C2×C4×D53—24no—
196C2×C4×D53—22no—
197C2×C4×D53—22no—
198C2×C4×D53—24no—
199C2×C4×D53—24no—
200C2×C4×D53—42no—
201C2×C4×D53—44no—
202C2×C4×D53—44no—
203C2×C4×D53C2×D412yes—
204C2×C4×D53C2×D414yes—
205C2×C4×D53C2×D414yes—
206C2×C4×D53C2412yes—
207C2×Dic106—22no—
208C2×Dic106—22no—
209C2×Dic106—21no—
210C2×Dic106—24no—
211C2×Dic106—44no—
212C2×Dic106C2412yes—
213C2×C8×C53—22no—
214C2×C8×C53—22no—
215C2×C8×C53C2412yes—
216C2×C8×C53C2412yes—
217C4⋊C4×C53—24no—
218C4⋊C4×C53—24no—
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—
226C42×C53—24no—
227C42×C53C2×D412yes—
228C42×C53C2412yes—
229#11719921—24no—
230#11719921—24no—
231C4⋊Dic53—21no—
232C4⋊Dic53—21no—
233C4⋊Dic53—21no—
234C4⋊Dic53—24no—
235C4⋊Dic53—24no—
236C4⋊Dic53—24no—
237C4⋊Dic53C2412yes—
238C4⋊Dic53C2412yes—
239C4⋊Dic53C2412yes—
240#11719919—24no—
241#11719919—24no—
242#11719919—24no—
243#11719919—24no—
244#11719919—24no—
245#11719919—24no—
246#11719919—24no—
247#11719919—24no—
248#11719919—24no—
249#11719919—24no—
250#11719919—24no—
251C4×Dic53—24no—
252C4×Dic53C2×D412yes—
253C4×Dic53C2×D414yes—
254C4×Dic53C2×D414yes—
255C4×Dic53C2412yes—
256C2×#88322—22no—
257C2×#88322—22no—
258C2×#88322C2412yes—
259C2×#88322C2412yes—
260C23×C53C22×D411yescharacteristic
261C22×D53—22no—
262C22×D53—22no—
263C22×D53#13714yes—
264C22×D53C22×D412yes—
265Q8×C53—22no—
266Q8×C53—22no—
267Q8×C53—42no—
268C2×C4×C53—22no—
269C2×C4×C53—22no—
270C2×C4×C53—22no—
271C2×C4×C53—22no—
272C2×C4×C53—22no—
273C2×C4×C53—22no—
274C2×C4×C53—42no—
275C2×C4×C53—42no—
276C2×C4×C53—42no—
277C2×C4×C53—42no—
278C2×C4×C53C22×D412yes—
279C2×C4×C53C22×D412yes—
280C2×C4×C53C22×D411yescharacteristic
281C2×C4×C532−1+412yes—
282C2×C4×C532−1+412yes—
283C2×C4×C53C2511yescharacteristic
284C2×Dic53—22no—
285C2×Dic53—22no—
286C2×Dic53—22no—
287C2×Dic53—22no—
288C2×Dic53—22no—
289C2×Dic53—22no—
290C2×Dic53—22no—
291C2×Dic53—42no—
292C2×Dic53—42no—
293C2×Dic53—42no—
294C2×Dic53—42no—
295C2×Dic53C22×D412yes—
296C2×Dic53C22×D412yes—
297C2×Dic53C22×D412yes—
298C4×D53—28no—
299C4×D53—24no—
300C4×D53—22no—
301C4×D53—22no—
302C4×D53—44no—
303C4×D53—48no—
304C4×D53—48no—
305Dic106—22no—
306Dic106—22no—
307Dic106—48no—
308Dic106—42no—
309C8×C53—22no—
310C8×C53—22no—
311#88322—22no—
312#88322—22no—
313C2×#3236—531nomaximal, Sylow
314C22×C53#53612yes—
315C22×C53C2×#13712yes—
316C22×C53#57512yes—
317C22×C53C23×D411yescharacteristic
318C2×D53—22no—
319C2×D53—28no—
320C2×D53—22no—
321C2×D53C2×#13714yes—
322C4×C53—22no—
323C4×C53—22no—
324C4×C53—42no—
325C4×C53—42no—
326C4×C53—42no—
327C4×C53—42no—
328C4×C53#53612yes—
329C4×C53C2×2−1+411yescharacteristic
330C4×C53C2×2−1+411yescharacteristic
331Dic53—22no—
332Dic53—22no—
333Dic53—22no—
334Dic53—42no—
335Dic53—42no—
336Dic53—42no—
337Dic53—42no—
338C2×#533—531no—
339C22×#125—531no—
340#3236—5316no—
341C2×#501—531no—
342C2×#501—531no—
343C2×#491—531no—
344C2×#491—531no—
345C2×#484—531no—
346C2×#484—531no—
347C2×#483—531no—
348C2×#483—531no—
349C2×#479—531no—
350C2×#479—531no—
351C2×#479—531no—
352C2×#479D5311yescharacteristic, complemented
353C2×#432—531no—
354C2×C53#323614yescomplemented
355C2×C53C2×#53611yescharacteristic
356C2×C53C22×#13711yescharacteristic
357C2×C53C2×#57511yescharacteristic
358D53—24no—
359#533—538no—
360#533—1064no—
361C2×C4⋊Q8—531no—
362C2×C4⋊Q8—531no—
363C2×#125—538no—
364C2×#125—531no—
365C2×#125—531no—
366C2×#125—531no—
367C2×#125—1061no—
368C2×#125—1061no—
369C2×#125—1061no—
370C2×#125—1064no—
371C2×#125C2×D5311yescharacteristic
372C2×C22⋊Q8—531no—
373C2×C22⋊Q8—531no—
374C2×C22⋊Q8—1061no—
375C2×C4×Q8—531no—
376C2×C4×Q8—1061no—
377C2×C4×Q8C2×D5311yescharacteristic
378C2×#117—1061no—
379C22×C4⋊C4—531no—
380C22×C4⋊C4—531no—
381C22×C4⋊C4—1061no—
382C22×C4⋊C4—1061no—
383C22×C42—531no—
384#501—538no—
385#501—538no—
386#491—538no—
387#491—538no—
388#484—538no—
389#484—538no—
390#483—538no—
391#483—538no—
392#479—538no—
393#479—538no—
394#479—538no—
395#479C2×D5318yescomplemented
396#432—538no—
397C2×#107—531no—
398C2×#107—531no—
399C2×#107—531no—
400C2×#107C2×D5311yescharacteristic
401C2×#106—531no—
402C2×#106—531no—
403C2×#106—531no—
404C2×#106C2×D5311yescharacteristic
405C2×C4⋊C8—531no—
406C2×C4⋊C8C2×D5311yescharacteristic
407C2×#103—531no—
408C2×#103—531no—
409C2×#103—531no—
410C2×#103—531no—
411C2×#103—531no—
412C2×#103—531no—
413C2×#103C2×D5311yescharacteristic
414C2×#103C2×D5311yescharacteristic
415C2×C22⋊C8—531no—
416C2×C22⋊C8—531no—
417C2×#97—531no—
418C2×#97—531no—
419C53C2×#323611yescharacteristic, complemented, Sylow
420C22×Q8—531no—
421C22×Q8—1061no—
422C22×Q8C22×D5311yescharacteristic
423C23×C4—531no—
424C23×C4—531no—
425C23×C4—531no—
426C23×C4—1061no—
427C23×C4—1061no—
428C22×C8—531no—
429C22×C8—531no—
430C22×C8C22×D5311yescharacteristic
431C22×C8C22×D5311yescharacteristic
432C4⋊Q8—534no—
433C4⋊Q8—534no—
434C4⋊Q8—1062no—
435C4⋊Q8—1062no—
436#125—22no—
437#125—534no—
438#125—534no—
439#125—534no—
440#125—1068no—
441#125—1068no—
442#125—1062no—
443#125—1062no—
444#125—1068no—
445#125—1062no—
446#125C22×D5314yes—
447C22⋊Q8—534no—
448C22⋊Q8—534no—
449C22⋊Q8—1062no—
450C22⋊Q8—1068no—
451C22⋊Q8—1062no—
452C4×Q8—22no—
453C4×Q8—534no—
454C4×Q8—1068no—
455C4×Q8—1062no—
456C4×Q8C22×D5314yes—
457#117—1068no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—531no—
462C2×C4⋊C4—531no—
463C2×C4⋊C4—531no—
464C2×C4⋊C4—534no—
465C2×C4⋊C4—534no—
466C2×C4⋊C4—1062no—
467C2×C4⋊C4—1062no—
468C2×C4⋊C4—1068no—
469C2×C4⋊C4—1068no—
470C2×C4⋊C4—1061no—
471C2×C4⋊C4—1061no—
472C2×C4⋊C4—1061no—
473C2×C4⋊C4—1061no—
474C2×C4⋊C4—1061no—
475C2×C4⋊C4—1061no—
476C2×C4⋊C4—1061no—
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⋊C4C22×D5311yescharacteristic
485C2×C4⋊C4C22×D5311yescharacteristic
486C2×C4⋊C4C22×D5311yescharacteristic
487C2×C22⋊C4—1061no—
488C2×C22⋊C4—1061no—
489C2×C42—21no—
490C2×C42—531no—
491C2×C42—531no—
492C2×C42—531no—
493C2×C42—534no—
494C2×C42—534no—
495C2×C42—1061no—
496C2×C42C22×D5311yescharacteristic
497#107—534no—
498#107—534no—
499#107—534no—
500#107C22×D5314yes—
501#106—534no—
502#106—534no—
503#106—534no—
504#106C22×D5314yes—
505C4⋊C8—534no—
506C4⋊C8C22×D5314yes—
507#103—534no—
508#103—534no—
509#103—534no—
510#103—534no—
511#103—534no—
512#103—534no—
513#103C22×D5314yes—
514#103C22×D5314yes—
515C22⋊C8—534no—
516C22⋊C8—534no—
517#97—534no—
518#97—534no—
519C24—531no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—532no—
524C2×Q8—1064no—
525C2×Q8—1061no—
526C2×Q8—1062no—
527C2×Q8—1062no—
528C2×Q8—2124no—
529C2×Q8C23×D5312yes—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—531no—
535C22×C4—531no—
536C22×C4—531no—
537C22×C4—534no—
538C22×C4—532no—
539C22×C4—532no—
540C22×C4—534no—
541C22×C4—1064no—
542C22×C4—1064no—
543C22×C4—1064no—
544C22×C4—1062no—
545C22×C4—1062no—
546C22×C4—1061no—
547C22×C4—1061no—
548C22×C4—1061no—
549C22×C4—1061no—
550C22×C4—2122no—
551C22×C4—2124no—
552C22×C4—2124no—
553C22×C4D4×D5311yescharacteristic
554C22×C4D4×D5311yescharacteristic
555C22×C4C23×D5311yescharacteristic
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—532no—
559C2×C8—532no—
560C2×C8—1062no—
561C2×C8—1062no—
562C2×C8C23×D5312yes—
563C2×C8C23×D5312yes—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—532no—
571C4⋊C4—532no—
572C4⋊C4—532no—
573C4⋊C4—1064no—
574C4⋊C4—1064no—
575C4⋊C4—1064no—
576C4⋊C4—1064no—
577C4⋊C4—1064no—
578C4⋊C4—1064no—
579C4⋊C4—1064no—
580C4⋊C4—1064no—
581C4⋊C4—1064no—
582C4⋊C4—1064no—
583C4⋊C4—1064no—
584C4⋊C4—1061no—
585C4⋊C4—1061no—
586C4⋊C4—1061no—
587C4⋊C4—1064no—
588C4⋊C4—1064no—
589C4⋊C4—1064no—
590C4⋊C4C23×D5312yes—
591C4⋊C4C23×D5312yes—
592C4⋊C4C23×D5312yes—
593C22⋊C4—1064no—
594C22⋊C4—1064no—
595C42—24no—
596C42—534no—
597C42—534no—
598C42—532no—
599C42—532no—
600C42—1064no—
601C42D4×D5312yes—
602C42C23×D5312yes—
603C23—534no—
604C23—532no—
605C23—1062no—
606C23—1062no—
607C23C2×D4×D5311yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—42no—
611Q8—1062no—
612Q8—1062no—
613Q8—2128no—
614Q8—2122no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—532no—
626C2×C4—532no—
627C2×C4—532no—
628C2×C4—1068no—
629C2×C4—1062no—
630C2×C4—1062no—
631C2×C4—1062no—
632C2×C4—1064no—
633C2×C4—1062no—
634C2×C4—1062no—
635C2×C4—1062no—
636C2×C4—1062no—
637C2×C4—1062no—
638C2×C4—1062no—
639C2×C4—2124no—
640C2×C4—2128no—
641C2×C4—2128no—
642C2×C4—2122no—
643C2×C4—2122no—
644C2×C4—2122no—
645C2×C4—2122no—
646C2×C4C2×D4×D5312yes—
647C2×C4C2×D4×D5312yes—
648C2×C4C2×D4×D5311yescharacteristic
649C2×C4#1313326412yes—
650C2×C4#1313326512yes—
651C2×C4C24×D5311yescharacteristic
652C8—22no—
653C8—22no—
654C8—1062no—
655C8—1062no—
656C22—534no—
657C22—1062no—
658C22—1062no—
659C22—1068no—
660C22#1681119612yes—
661C22#137×D5312yes—
662C22#1681142012yes—
663C22C22×D4×D5311yescharacteristic
664C4—22no—
665C4—22no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—42no—
670C4—1062no—
671C4—1062no—
672C4—1062no—
673C4—2122no—
674C4—2122no—
675C4—2122no—
676C4—2122no—
677C4#1681119612yes—
678C4C2×#1313326411yescharacteristic
679C4C2×#1313326511yescharacteristic
680C2—1064no—
681C2#2028591914yesdirect product factor
682C2C2×#1681119611yescharacteristic
683C2C2×#137×D5311yescharacteristic
684C2C2×#1681142011yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC2×C53×#479C2
socleC23×C53C22×D4
prime radicalC23×D53C2×D4
hypercenterC2×#479D53
hypocenterC53C2×#3236
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #20285919C2direct (N × H)
4. C2×#16811031C2semidirect
5. C2×#16811030C2semidirect
6. C2×#16810990C2semidirect
7. C2×#16810990C2semidirect
12. C2×#16810931C2semidirect
13. C2×#16810930C2semidirect
14. C2×#16810927C2semidirect
16. C2×C53×#479C2semidirect
40. #16811031C22semidirect
41. #16811030C22semidirect
42. #16810990C22semidirect
43. #16810990C22semidirect
48. #16810931C22semidirect
49. #16810930C22semidirect
50. #16810927C22semidirect
71. C53×#479C22semidirect
352. C2×#479D53semidirect
354. C2×C53#3236semidirect
395. #479C2×D53semidirect
419. C53C2×#3236semidirect
681. C2#20285919direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168111772
C2×#125×D532
#202859192
C2×#168110312
C2×#168110302
C2×#168109902
C2×#168109602
C2×#168109572
C2×#168109552
C2×#168109522
C2×#168109312
C2×#168109302
C2×#168109272
C2×#168106792
C2×C53×#4792
C2×#323653