Finite Group Databasebeta

← C2×#20284641 #28251873

Subgroups — C2×#20284641 #28251873

Order 13568.

2650 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×#16811135C211yesmaximal, characteristic
2C22×C4⋊C4×D53C211yesmaximal, characteristic, complemented
3#20284641C2116yesmaximal, direct product factor
4C2×#16810960C212yesmaximal, complemented
5C2×#16810943C212yesmaximal, complemented
6C2×#16810955C212yesmaximal, complemented
7C2×#16810938C212yesmaximal, complemented
8C2×#16810666C211yesmaximal, characteristic, complemented
9C2×#16810625C211yesmaximal, characteristic, complemented
10C2×#16810622C211yesmaximal, characteristic, complemented
11C2×#16810586C211yesmaximal, characteristic, complemented
12C2×C53×#428C211yesmaximal, characteristic, complemented
13C22×#11719945C2211yescharacteristic
14C23×C4×D53—21no—
15C23×C4×D53C2211yescharacteristic
16C22×#11719917C2211yescharacteristic
17#16811135—24no—
18#16811135C2218yes—
19C2×#13133201—21no—
20C2×#13133197C2211yescharacteristic
21C2×#13133197C2211yescharacteristic
22C2×#13133192C2211yescharacteristic
23C2×#13133192C2211yescharacteristic
24C2×#13133187—21no—
25C2×C4×D212—21no—
26C2×C4×D212—21no—
27C22×C4⋊Dic53C2211yescharacteristic
28C22×#11719919—21no—
29C2×C4⋊C4×D53—24no—
30C2×C4⋊C4×D53—21no—
31C2×C4⋊C4×D53—21no—
32C2×C4⋊C4×D53C2212yes—
33C2×C4⋊C4×D53C2212yes—
34C2×C4⋊C4×D53C2218yescomplemented
35#16810960C22116yescomplemented
36#16810955C22116yescomplemented
37#16810943C22116yescomplemented
38#16810938C22116yescomplemented
39#16810666C2218yescomplemented
40C2×#13133150C2212yescomplemented
41C2×#13133148C2212yescomplemented
42#16810625C2218yescomplemented
43#16810622C2218yescomplemented
44C2×#13133142C2212yescomplemented
45C2×#13133140C2212yescomplemented
46C2×#13133139C2212yescomplemented
47C2×#13133137C2212yescomplemented
48#16810586C2218yescomplemented
49C2×#13133129C2212yes—
50C2×#13133129C2212yes—
51C22×M16×C53C2211yescharacteristic
52C2×#117×C53C2211yescharacteristic
53C22×C4⋊C4×C53C2211yescharacteristic
54C53×#428C2218yescomplemented
55C2×#107×C53C2212yescomplemented
56C2×#106×C53C2212yescomplemented
57C24×D53D411yescharacteristic
58C2×#11719945—22no—
59C2×#11719945—24no—
60C2×#11719945—24no—
61C2×#11719945C2314yes—
62C22×Dic106C2311yescharacteristic
63C22×D212—21no—
64C22×D212—21no—
65C22×D212C2311yescharacteristic
66C22×C22⋊D53—21no—
67C23×Dic53—21no—
68C23×Dic53D411yescharacteristic
69C22×C4×D53—24no—
70C22×C4×D53—24no—
71C22×C4×D53—22no—
72C22×C4×D53—22no—
73C22×C4×D53—28no—
74C22×C4×D53—21no—
75C22×C4×D53—48no—
76C22×C4×D53D411yescharacteristic
77C22×C4×D53D411yescharacteristic
78C22×C4×D53D414yes—
79C22×C4×D53C2311yescharacteristic
80C22×C4×D53C2311yescharacteristic
81C22×C4×D53C2314yes—
82C2×#11719917—24no—
83C2×#11719917C2314yes—
84C22×#88322C2312yes—
85#13133201—28no—
86#13133197—22no—
87#13133197—22no—
88#13133197C2314yes—
89#13133197C2314yes—
90#13133192—22no—
91#13133192—22no—
92#13133192C2314yes—
93#13133192C2314yes—
94#13133187—28no—
95C4×D212—28no—
96C4×D212—28no—
97C2×C4⋊Dic53—21no—
98C2×C4⋊Dic53—22no—
99C2×C4⋊Dic53—21no—
100C2×C4⋊Dic53—21no—
101C2×C4⋊Dic53C2312yes—
102C2×C4⋊Dic53C2314yes—
103C2×#11719919—22no—
104C2×#11719919—22no—
105C2×#11719919—28no—
106C4⋊C4×D53—24no—
107C4⋊C4×D53—24no—
108C4⋊C4×D53—28no—
109C4⋊C4×D53—28no—
110C4⋊C4×D53C2318yes—
111C4⋊C4×D53C2318yes—
112C2×#11719921—21no—
113C2×#11719921—21no—
114C2×#11719921—21no—
115C2×#11719921—21no—
116#13133150C2318yescomplemented
117#13133148C2318yescomplemented
118#13133142C2318yescomplemented
119#13133140C2318yescomplemented
120#13133139C2318yescomplemented
121#13133137C2318yescomplemented
122#13133129C2318yes—
123#13133129C2318yes—
124C23×C4×C53—21no—
125C23×C4×C53C2311yescharacteristic
126C2×M16×C53—24no—
127C2×M16×C53C2314yes—
128C22×C8×C53C2312yes—
129#117×C53—22no—
130#117×C53C2314yes—
131C2×C4⋊C4×C53—21no—
132C2×C4⋊C4×C53—22no—
133C2×C4⋊C4×C53C2312yes—
134C2×C4⋊C4×C53C2314yes—
135C2×C4⋊C4×C53C2311yescharacteristic
136C2×C4⋊C4×C53C2311yescharacteristic
137C2×C22⋊C4×C53—21no—
138C2×C42×C53—21no—
139#107×C53C2318yescomplemented
140#106×C53C2318yescomplemented
141C24×C53C2×D411yescharacteristic
142C23×D53—24no—
143C23×D53—24no—
144C23×D53—24no—
145C23×D53—21no—
146C23×D53C2×D414yes—
147C23×D53C2×D411yescharacteristic
148C23×D53C2×D411yescharacteristic
149C22×C4×C53—21no—
150C22×C4×C53—21no—
151C22×C4×C53—24no—
152C22×C4×C53—22no—
153C22×C4×C53—44no—
154C22×C4×C53C2×D411yescharacteristic
155C22×C4×C53C2×D412yes—
156C22×C4×C53#4114yes—
157C22×C4×C53#4114yes—
158C22×C4×C53C2411yescharacteristic
159C22×C4×C53C2412yes—
160C2×C22⋊D53—24no—
161C2×C22⋊D53—44no—
162C22×Dic53—24no—
163C22×Dic53—21no—
164C22×Dic53—24no—
165C22×Dic53—22no—
166C22×Dic53—44no—
167C22×Dic53C2×D411yescharacteristic
168C22×Dic53C2×D411yescharacteristic
169C22×Dic53C2×D414yes—
170#11719945—28no—
171#11719945—28no—
172#11719945—48no—
173C2×D212—22no—
174C2×D212—22no—
175C2×D212—24no—
176C2×D212—24no—
177C2×D212—21no—
178C2×D212—44no—
179C2×D212—44no—
180C2×D212C2412yes—
181C2×C4×D53—24no—
182C2×C4×D53—24no—
183C2×C4×D53—216no—
184C2×C4×D53—22no—
185C2×C4×D53—22no—
186C2×C4×D53—28no—
187C2×C4×D53—22no—
188C2×C4×D53—22no—
189C2×C4×D53—28no—
190C2×C4×D53—28no—
191C2×C4×D53—28no—
192C2×C4×D53—24no—
193C2×C4×D53—48no—
194C2×C4×D53—432no—
195C2×C4×D53—48no—
196C2×C4×D53—44no—
197C2×C4×D53C2×D414yes—
198C2×C4×D53C2×D414yes—
199C2×C4×D53C2×D412yes—
200C2×C4×D53C2×D412yes—
201C2×C4×D53C2412yes—
202C2×C4×D53C2412yes—
203C2×Dic106—22no—
204C2×Dic106—22no—
205C2×Dic106—21no—
206C2×Dic106C2412yes—
207M16×C53—28no—
208C2×C8×C53—24no—
209C2×C8×C53C2414yes—
210C4⋊C4×C53—22no—
211C4⋊C4×C53—24no—
212C4⋊C4×C53—21no—
213C4⋊C4×C53—21no—
214C4⋊C4×C53C2412yes—
215C4⋊C4×C53C2414yes—
216C4⋊C4×C53C2412yes—
217C22⋊C4×C53—24no—
218C42×C53—24no—
219#11719921—24no—
220#11719921—24no—
221#11719921—24no—
222#11719921—24no—
223C4⋊Dic53—22no—
224C4⋊Dic53—24no—
225C4⋊Dic53—24no—
226C4⋊Dic53—24no—
227C4⋊Dic53C2414yes—
228#11719919—28no—
229#11719919—28no—
230#11719917—28no—
231C2×#88322—24no—
232C2×#88322C2414yes—
233C23×C53—22no—
234C23×C53—22no—
235C23×C53#12314yes—
236C23×C53C22×D412yes—
237C23×C53C22×D411yescharacteristic
238C22×D53—232no—
239C22×D53—28no—
240C22×D53—22no—
241C22×D53—22no—
242C22×D53—22no—
243C22×D53—22no—
244C22×D53—28no—
245C22×D53—28no—
246C22×D53—22no—
247C22×D53—42no—
248C22×D53—42no—
249C22×D53—42no—
250C22×D53AGL(1,ℤ/8)14yes—
251C22×D53#13714yes—
252C22×D53C22×D412yes—
253C22×D53C22×D412yes—
254C2×C4×C53—24no—
255C2×C4×C53—22no—
256C2×C4×C53—22no—
257C2×C4×C53—48no—
258C2×C4×C53—44no—
259C2×C4×C53—42no—
260C2×C4×C53—42no—
261C2×C4×C53#12314yes—
262C2×C4×C53#12318yes—
263C2×C4×C53C22×D411yescharacteristic
264C2×C4×C53C22×D412yes—
265C2×C4×C53C2×#4112yes—
266C2×C4×C53C2×#4114yes—
267C2×C4×C53C2×#4112yes—
268C2×C4×C53C2×#4114yes—
269C2×C4×C53C2511yescharacteristic
270C22⋊D53—48no—
271C2×Dic53—28no—
272C2×Dic53—22no—
273C2×Dic53—22no—
274C2×Dic53—22no—
275C2×Dic53—24no—
276C2×Dic53—48no—
277C2×Dic53—42no—
278C2×Dic53—44no—
279C2×Dic53C22×D412yes—
280C2×Dic53C22×D412yes—
281D212—22no—
282D212—22no—
283D212—48no—
284D212—48no—
285D212—42no—
286C4×D53—24no—
287C4×D53—24no—
288C4×D53—28no—
289C4×D53—28no—
290C4×D53—22no—
291C4×D53—22no—
292C4×D53—22no—
293C4×D53—22no—
294C4×D53—416no—
295C4×D53—416no—
296C4×D53—48no—
297Dic106—22no—
298Dic106—22no—
299Dic106—42no—
300C8×C53—24no—
301#88322—24no—
302C2×#3092—531nomaximal, Sylow
303C22×C53—28no—
304C22×C53—22no—
305C22×C53—22no—
306C22×C53C2×#12314yes—
307C22×C53C2×#12312yes—
308C22×C53C2×AGL(1,ℤ/8)12yes—
309C22×C53C2×#13712yes—
310C22×C53C23×D411yescharacteristic
311C2×D53—232no—
312C2×D53—28no—
313C2×D53—28no—
314C2×D53—22no—
315C2×D53—22no—
316C2×D53—22no—
317C2×D53—22no—
318C2×D53—42no—
319C2×D53—42no—
320C2×D53—42no—
321C2×D53—84no—
322C2×D53C2×AGL(1,ℤ/8)14yes—
323C2×D53C2×#13714yes—
324C4×C53—44no—
325C4×C53—42no—
326C4×C53—42no—
327C4×C53C2×#12312yes—
328C4×C53C2×#12314yes—
329C4×C53C22×#4111yescharacteristic
330C4×C53C22×#4111yescharacteristic
331Dic53—22no—
332Dic53—22no—
333Dic53—42no—
334Dic53—44no—
335C2×#525—531no—
336C23×C4⋊C4—531no—
337#3092—5316no—
338C2×#484—532no—
339C2×#481—532no—
340C2×#483—532no—
341C2×#480—532no—
342C2×#428—531no—
343C2×#428D5311yescharacteristic, complemented
344C2×#417—531no—
345C2×#417—531no—
346C2×#407—531no—
347C2×C53—24no—
348C2×C53#309214yescomplemented
349C2×C53C22×#12311yescharacteristic
350C2×C53C22×AGL(1,ℤ/8)11yescharacteristic
351C2×C53C22×#13711yescharacteristic
352D53—24no—
353D53—24no—
354D53—82no—
355C22×#41—531no—
356C24×C4—531no—
357C24×C4—1061no—
358C22×M16—531no—
359C22×M16C2×D5311yescharacteristic
360#525—538no—
361#525—1064no—
362C2×#123—1061no—
363C2×C22⋊Q8—531no—
364C2×C22⋊Q8—531no—
365C2×#121—531no—
366C2×#121—531no—
367C2×#120—1061no—
368C2×C4×D4—1061no—
369C2×C4×D4—1061no—
370C2×#117C2×D5311yescharacteristic
371C22×C4⋊C4—531no—
372C22×C4⋊C4—532no—
373C22×C4⋊C4—532no—
374C22×C4⋊C4—538no—
375C22×C4⋊C4—1061no—
376C22×C4⋊C4—1061no—
377C22×C4⋊C4—1064no—
378C22×C4⋊C4—1061no—
379C22×C4⋊C4C2×D5311yescharacteristic
380#484—5316no—
381#483—5316no—
382#481—5316no—
383#480—5316no—
384#428—538no—
385#428C2×D5318yescomplemented
386C2×#107—532no—
387C2×#107C2×D5312yescomplemented
388C2×#106—532no—
389C2×#106C2×D5312yescomplemented
390#417—538no—
391#417—538no—
392C2×#103—532no—
393C2×#103—532no—
394C2×#102—532no—
395C2×#102—532no—
396#407—538no—
397C2×C22⋊C8—532no—
398C2×C22⋊C8—532no—
399C53C2×#309211yescharacteristic, complemented, Sylow
400C25—531no—
401C2×#41—534no—
402C2×#41—1062no—
403C2×#41—1064no—
404C2×#41—1064no—
405C22×Q8—531no—
406C22×D4—531no—
407C22×D4—1061no—
408C22×D4—1061no—
409C22×D4—1061no—
410C23×C4—21no—
411C23×C4—531no—
412C23×C4—531no—
413C23×C4—531no—
414C23×C4—534no—
415C23×C4—531no—
416C23×C4—531no—
417C23×C4—534no—
418C23×C4—1068no—
419C23×C4—1062no—
420C23×C4—1062no—
421C23×C4—1064no—
422C23×C4—1064no—
423C23×C4—1061no—
424C23×C4—1061no—
425C23×C4—2128no—
426C23×C4C22×D5311yescharacteristic
427C2×M16—24no—
428C2×M16—534no—
429C2×M16—1064no—
430C2×M16C22×D5314yes—
431C22×C8—532no—
432C22×C8C22×D5312yes—
433#123—1068no—
434C22⋊Q8—534no—
435C22⋊Q8—534no—
436C22⋊Q8—1062no—
437C22⋊Q8—1062no—
438#121—534no—
439#121—534no—
440#121—1062no—
441#121—1062no—
442#120—1068no—
443C4×D4—1068no—
444C4×D4—1068no—
445#117—22no—
446#117C22×D5314yes—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—532no—
450C2×C4⋊C4—534no—
451C2×C4⋊C4—538no—
452C2×C4⋊C4—538no—
453C2×C4⋊C4—1068no—
454C2×C4⋊C4—1068no—
455C2×C4⋊C4—1064no—
456C2×C4⋊C4—1064no—
457C2×C4⋊C4—1068no—
458C2×C4⋊C4—1062no—
459C2×C4⋊C4—1062no—
460C2×C4⋊C4—1061no—
461C2×C4⋊C4—1061no—
462C2×C4⋊C4—1062no—
463C2×C4⋊C4—1061no—
464C2×C4⋊C4C22×D5312yes—
465C2×C4⋊C4C22×D5314yes—
466C2×C4⋊C4C22×D5311yescharacteristic
467C2×C4⋊C4C22×D5311yescharacteristic
468C2×C22⋊C4—21no—
469C2×C22⋊C4—1061no—
470C2×C22⋊C4—1061no—
471C2×C22⋊C4—1061no—
472C2×C22⋊C4—1061no—
473C2×C42—21no—
474#107—538no—
475#107C22×D5318yescomplemented
476#106—538no—
477#106C22×D5318yescomplemented
478#103—538no—
479#103—538no—
480#102—538no—
481#102—538no—
482C22⋊C8—538no—
483C22⋊C8—538no—
484C24—531no—
485C24—531no—
486C24—534no—
487C24—1064no—
488C24—1064no—
489C24—1064no—
490C24—1061no—
491C24D4×D5311yescharacteristic
492#41—1068no—
493#41—1068no—
494#41—2128no—
495C2×Q8—532no—
496C2×Q8—1061no—
497C2×Q8—1062no—
498C2×Q8—1062no—
499C2×D4—532no—
500C2×D4—1064no—
501C2×D4—1064no—
502C2×D4—1064no—
503C2×D4—1061no—
504C2×D4—1062no—
505C2×D4—1062no—
506C2×D4—2124no—
507C2×D4—2124no—
508C2×D4—2124no—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—44no—
514C22×C4—534no—
515C22×C4—531no—
516C22×C4—531no—
517C22×C4—534no—
518C22×C4—534no—
519C22×C4—532no—
520C22×C4—532no—
521C22×C4—532no—
522C22×C4—532no—
523C22×C4—1068no—
524C22×C4—1068no—
525C22×C4—1064no—
526C22×C4—1064no—
527C22×C4—1064no—
528C22×C4—10616no—
529C22×C4—1062no—
530C22×C4—1062no—
531C22×C4—1068no—
532C22×C4—1062no—
533C22×C4—1062no—
534C22×C4—1068no—
535C22×C4—1064no—
536C22×C4—1061no—
537C22×C4—1062no—
538C22×C4—1064no—
539C22×C4—2128no—
540C22×C4—21232no—
541C22×C4—2128no—
542C22×C4—2124no—
543C22×C4—2124no—
544C22×C4#1171994514yes—
545C22×C4D4×D5312yes—
546C22×C4D4×D5311yescharacteristic
547C22×C4#1171994914yes—
548C22×C4C23×D5312yes—
549C22×C4C23×D5311yescharacteristic
550M16—28no—
551M16—1068no—
552C2×C8—24no—
553C2×C8—534no—
554C2×C8—1064no—
555C2×C8C23×D5314yes—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—534no—
561C4⋊C4—1068no—
562C4⋊C4—1068no—
563C4⋊C4—1064no—
564C4⋊C4—1064no—
565C4⋊C4—1064no—
566C4⋊C4—1062no—
567C4⋊C4C23×D5314yes—
568C4⋊C4C23×D5312yes—
569C4⋊C4C23×D5312yes—
570C22⋊C4—24no—
571C22⋊C4—1064no—
572C22⋊C4—1064no—
573C22⋊C4—1064no—
574C22⋊C4—1064no—
575C42—24no—
576C23—22no—
577C23—22no—
578C23—534no—
579C23—534no—
580C23—532no—
581C23—532no—
582C23—1068no—
583C23—1068no—
584C23—10632no—
585C23—1068no—
586C23—1062no—
587C23—1062no—
588C23—1062no—
589C23—1062no—
590C23—1062no—
591C23—2122no—
592C23—2122no—
593C23—2122no—
594C23#1313320214yes—
595C23C2×D4×D5312yes—
596C23C2×D4×D5311yescharacteristic
597Q8—1062no—
598Q8—1062no—
599Q8—2122no—
600D4—1062no—
601D4—1062no—
602D4—2128no—
603D4—2128no—
604D4—2128no—
605D4—2122no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—48no—
610C2×C4—44no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—532no—
614C2×C4—532no—
615C2×C4—1068no—
616C2×C4—1062no—
617C2×C4—1062no—
618C2×C4—1068no—
619C2×C4—1068no—
620C2×C4—1064no—
621C2×C4—1064no—
622C2×C4—1062no—
623C2×C4—1062no—
624C2×C4—1062no—
625C2×C4—1062no—
626C2×C4—1062no—
627C2×C4—1064no—
628C2×C4—21216no—
629C2×C4—21216no—
630C2×C4—2128no—
631C2×C4—2122no—
632C2×C4—2124no—
633C2×C4—2128no—
634C2×C4#1313320214yes—
635C2×C4#1313320218yes—
636C2×C4C2×D4×D5312yes—
637C2×C4C2×D4×D5311yescharacteristic
638C2×C4C2×#1171994512yes—
639C2×C4C2×#1171994514yes—
640C2×C4C2×#1171994912yes—
641C2×C4C2×#1171994914yes—
642C2×C4C24×D5311yescharacteristic
643C8—24no—
644C8—1064no—
645C22—22no—
646C22—22no—
647C22—28no—
648C22—534no—
649C22—534no—
650C22—10632no—
651C22—1062no—
652C22—1062no—
653C22—1062no—
654C22—1062no—
655C22—1068no—
656C22—1068no—
657C22—4244no—
658C22—2122no—
659C22—2122no—
660C22—2122no—
661C22C2×#1313320214yes—
662C22C2×#1313320212yes—
663C22AGL(1,ℤ/8)×D5312yes—
664C22#137×D5312yes—
665C22C22×D4×D5311yescharacteristic
666C4—44no—
667C4—42no—
668C4—42no—
669C4—1062no—
670C4—1062no—
671C4—2124no—
672C4—2122no—
673C4C2×#1313320214yes—
674C4C2×#1313320212yes—
675C4C22×#1171994511yescharacteristic
676C4C22×#1171994911yescharacteristic
677C2—24no—
678C2—1064no—
679C2—1064no—
680C2—4242no—
681C2#2028464114yesdirect product factor
682C2C22×#1313320211yescharacteristic
683C2C2×AGL(1,ℤ/8)×D5311yescharacteristic
684C2C2×#137×D5311yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC2×C53×#428C2
socleC23×C53C22×D4
prime radicalC2×#16811135C2
hypercenterC2×#428D53
hypocenterC53C2×#3092
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D53C2semidirect
3. #20284641C2direct (N × H)
4. C2×#16810960C2semidirect
5. C2×#16810943C2semidirect
6. C2×#16810955C2semidirect
7. C2×#16810938C2semidirect
8. C2×#16810666C2semidirect
9. C2×#16810625C2semidirect
10. C2×#16810622C2semidirect
11. C2×#16810586C2semidirect
12. C2×C53×#428C2semidirect
34. C2×C4⋊C4×D53C22semidirect
35. #16810960C22semidirect
36. #16810955C22semidirect
37. #16810943C22semidirect
38. #16810938C22semidirect
39. #16810666C22semidirect
40. C2×#13133150C22semidirect
41. C2×#13133148C22semidirect
42. #16810625C22semidirect
43. #16810622C22semidirect
44. C2×#13133142C22semidirect
45. C2×#13133140C22semidirect
46. C2×#13133139C22semidirect
47. C2×#13133137C22semidirect
48. #16810586C22semidirect
54. C53×#428C22semidirect
55. C2×#107×C53C22semidirect
56. C2×#106×C53C22semidirect
116. #13133150C23semidirect
117. #13133148C23semidirect
118. #13133142C23semidirect
119. #13133140C23semidirect
120. #13133139C23semidirect
121. #13133137C23semidirect
139. #107×C53C23semidirect
140. #106×C53C23semidirect
343. C2×#428D53semidirect
348. C2×C53#3092semidirect
385. #428C2×D53semidirect
387. C2×#107C2×D53semidirect
389. C2×#106C2×D53semidirect
399. C53C2×#3092semidirect
475. #107C22×D53semidirect
477. #106C22×D53semidirect
681. C2#20284641direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168111352
C22×C4⋊C4×D532
#202846412
C2×#168109602
C2×#168109432
C2×#168109552
C2×#168109382
C2×#168106662
C2×#168106252
C2×#168106222
C2×#168105862
C2×C53×#4282
C2×#309253