Finite Group Databasebeta

← #27382598

Subgroups — #27382598

Order 13568.

1206 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810733C211yesmaximal, characteristic
2C2×#16810732C211yesmaximal, characteristic
3C2×#16810703C211yesmaximal, characteristic
4#20277076C211yesmaximal, characteristic, complemented
5#20277075C211yesmaximal, characteristic, complemented
6#20274613C211yesmaximal, characteristic, complemented
7#20274611C211yesmaximal, characteristic, complemented
8#20274603C211yesmaximal, characteristic, complemented
9#20274542C211yesmaximal, characteristic, complemented
10#20274539C211yesmaximal, characteristic, complemented
11#102×Dic53C211yesmaximal, characteristic, complemented
12C4×#13133139C211yesmaximal, characteristic, complemented
13#20274529C211yesmaximal, characteristic, complemented
14#20274401C211yesmaximal, characteristic, complemented
15C4×#102×C53C211yesmaximal, characteristic, complemented
16C22×#11719922C2211yescharacteristic
17C2×C4×D212C2211yescharacteristic
18C2×D4×Dic53C2211yescharacteristic
19C2×D4×Dic53C2211yescharacteristic
20C2×#13133179C2211yescharacteristic
21C2×#13133179C2211yescharacteristic
22#16810733C418yescomplemented
23#16810732C418yescomplemented
24#16810703C418yescomplemented
25C2×#13133150C2211yescharacteristic
26C2×#13133148C2211yescharacteristic
27C2×#13133148C2211yescharacteristic
28C2×#13133139C2211yescharacteristic
29C2×#13133139C2211yescharacteristic
30C2×#13133138C2211yescharacteristic
31C2×#13133137C2211yescharacteristic
32C2×#13133128C2211yescharacteristic
33C2×#13133127C2211yescharacteristic
34C2×#13133127C2211yescharacteristic
35C2×C8×Dic53C2211yescharacteristic
36C2×C8×Dic53C2211yescharacteristic
37C4⋊C4×Dic53C2211yescharacteristic
38C4⋊C4×Dic53C2211yescharacteristic
39C4⋊C4×Dic53C2211yescharacteristic
40C4⋊C4×Dic53C2211yescharacteristic
41C4×C4⋊Dic53C2211yescharacteristic
42C22⋊C4×Dic53—21no—
43C22⋊C4×Dic53—21no—
44C4×#11719921—21no—
45C4×#11719921—21no—
46C4×C22⋊Dic53—21no—
47#16810470—21no—
48#16810469C2211yescharacteristic
49C2×#13133124—21no—
50#95×D53—21no—
51#16810386C2211yescharacteristic
52#16810386C2211yescharacteristic
53#16810385C2211yescharacteristic
54#16810385C2211yescharacteristic
55C2×C4×D4×C53C2211yescharacteristic
56C2×#102×C53C2211yescharacteristic
57C2×#102×C53C2211yescharacteristic
58C2×C4×C8×C53C2211yescharacteristic
59C4×C4⋊C4×C53C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#340C2211yescharacteristic
62C22×D212C2311yescharacteristic
63C23×Dic53—21no—
64C23×Dic53—21no—
65C22×C4×D53—21no—
66C22×C4×D53—21no—
67C22×C4×D53—21no—
68C2×#11719922C2×C414yes—
69C2×#11719922C2×C414yes—
70C2×#11719922C2×C414yes—
71C22×#88322C2311yescharacteristic
72C22×#88322C2311yescharacteristic
73C4×D212—22no—
74C4×D212C2×C414yescomplemented
75D4×Dic53—22no—
76D4×Dic53—22no—
77D4×Dic53C2×C414yescomplemented
78D4×Dic53C2×C414yescomplemented
79#13133179—22no—
80#13133179—22no—
81#13133179C2×C414yescomplemented
82#13133179C2×C414yescomplemented
83C2×C4⋊Dic53C2311yescharacteristic
84C2×C4⋊Dic53C2311yescharacteristic
85C2×C4⋊Dic53C2311yescharacteristic
86C2×C22⋊Dic53—21no—
87C2×C22⋊Dic53—21no—
88C2×#11719921—21no—
89C2×#11719921—21no—
90C2×#11719921—21no—
91C2×C4×Dic53—21no—
92C2×C4×Dic53—21no—
93C2×C4×Dic53—21no—
94C2×C4×Dic53—21no—
95C2×C4×Dic53—21no—
96C2×C4×Dic53C2311yescharacteristic
97C2×C4×Dic53C2311yescharacteristic
98#13133150C2×C414yescomplemented
99#13133148C2×C414yescomplemented
100#13133148C2×C414yescomplemented
101#13133139C2×C414yescomplemented
102#13133139C2×C414yescomplemented
103#13133138C2×C414yescomplemented
104#13133137C2×C414yescomplemented
105#13133128C2×C414yescomplemented
106#13133127—22no—
107#13133127C2×C414yescomplemented
108C8×Dic53—22no—
109C8×Dic53C2×C414yescomplemented
110#13133124—21no—
111#13133124—21no—
112#13133124—21no—
113#13133124—21no—
114#13133124—21no—
115#13133124D411yescharacteristic
116#13133124D411yescharacteristic
117#13133124D411yescharacteristic
118#13133124D411yescharacteristic
119C22×D4×C53C2311yescharacteristic
120C23×C4×C53—21no—
121C22×C8×C53C2311yescharacteristic
122C22×C8×C53C2311yescharacteristic
123C4×D4×C53—22no—
124C4×D4×C53C2×C414yescomplemented
125C2×C4⋊C4×C53C2311yescharacteristic
126C2×C4⋊C4×C53C2311yescharacteristic
127C2×C4⋊C4×C53C2311yescharacteristic
128C2×C22⋊C4×C53—21no—
129C2×C42×C53—21no—
130C2×C42×C53C2311yescharacteristic
131#102×C53C2×C414yescomplemented
132#102×C53C2×C414yescomplemented
133C4×C8×C53—22no—
134#95×C53—21no—
135C24×C53—21no—
136C23×D53—21no—
137C2×D4×C53—21no—
138C2×D4×C53—21no—
139C2×D4×C53—21no—
140C2×D4×C53C22×C412yes—
141C2×D4×C53C22×C412yes—
142C2×D4×C53C22×C412yes—
143C22×C4×C53—21no—
144C22×C4×C53—21no—
145C22×C4×C53—21no—
146C22×C4×C53—24no—
147C22×C4×C53—81no—
148C22×C4×C53—81no—
149C22×C4×C53C2×D411yescharacteristic
150C22×C4×C53C2×D411yescharacteristic
151C22×C4×C53C2411yescharacteristic
152C22×Dic53—21no—
153C22×Dic53—21no—
154C22×Dic53—21no—
155C22×Dic53—24no—
156C22×Dic53—24no—
157C22×Dic53—81no—
158C22×Dic53—81no—
159C22×Dic53—81no—
160C22×Dic53—81no—
161C22×Dic53C2×D411yescharacteristic
162C22×Dic53C2×D411yescharacteristic
163C22×Dic53C2×D411yescharacteristic
164C22×Dic53C2×D411yescharacteristic
165C2×D212—21no—
166C2×D212—21no—
167C2×D212—21no—
168C2×D212C22×C412yes—
169C2×D212C22×C412yes—
170C2×D212C22×C412yes—
171C2×C4×D53—24no—
172C2×C4×D53—24no—
173C2×C4×D53—24no—
174C2×C4×D53—81no—
175C2×C4×D53—81no—
176C2×C4×D53—81no—
177C2×C4×D53—81no—
178C2×C4×D53—81no—
179C2×C4×D53—81no—
180C2×C8×C53—21no—
181C2×C8×C53—21no—
182C2×C8×C53—21no—
183C2×C8×C53—21no—
184C2×C8×C53C22×C412yes—
185C2×C8×C53C22×C412yes—
186C4⋊C4×C53—21no—
187C4⋊C4×C53—21no—
188C4⋊C4×C53—21no—
189C4⋊C4×C53C22×C412yes—
190C4⋊C4×C53C22×C412yes—
191C4⋊C4×C53C22×C412yes—
192C22⋊C4×C53—24no—
193C42×C53—81no—
194C42×C53C22×C412yes—
195C42×C53#4112yes—
196C22⋊Dic53—24no—
197C22⋊Dic53—24no—
198#11719922C42116yescomplemented
199#11719921—24no—
200#11719921—24no—
201#11719921—24no—
202C4⋊Dic53—21no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53C22×C412yes—
206C4⋊Dic53C22×C412yes—
207C4⋊Dic53C22×C412yes—
208C4×Dic53—81no—
209C4×Dic53—81no—
210C4×Dic53—81no—
211C4×Dic53—81no—
212C4×Dic53—81no—
213C4×Dic53C22×C412yes—
214C4×Dic53C22×C412yes—
215C4×Dic53#4112yes—
216C4×Dic53#4112yes—
217C2×#88322—21no—
218C2×#88322—21no—
219C2×#88322C22×C412yes—
220C2×#88322C22×C412yes—
221C2×#88322C22×C412yes—
222C2×#88322C22×C412yes—
223C23×C53—22no—
224C23×C53—22no—
225C23×C53—22no—
226C23×C53—41no—
227C23×C53—41no—
228C23×C53—41no—
229C23×C53—41no—
230C23×C53C22×D411yescharacteristic
231C22×D53—22no—
232C22×D53—22no—
233C22×D53—22no—
234C22×D53—41no—
235C22×D53—41no—
236C22×D53—41no—
237C22×D53—41no—
238D4×C53—22no—
239D4×C53—22no—
240D4×C53—22no—
241D4×C53C2×C4214yes—
242C2×C4×C53—21no—
243C2×C4×C53—21no—
244C2×C4×C53—21no—
245C2×C4×C53—21no—
246C2×C4×C53—22no—
247C2×C4×C53—22no—
248C2×C4×C53—22no—
249C2×C4×C53—41no—
250C2×C4×C53—41no—
251C2×C4×C53—41no—
252C2×C4×C53—41no—
253C2×C4×C53—41no—
254C2×C4×C53—41no—
255C2×C4×C53—84no—
256C2×C4×C53C4×D412yes—
257C2×C4×C53C4×D412yes—
258C2×C4×C53C23×C411yescharacteristic
259C2×C4×C53C23×C411yescharacteristic
260C2×C4×C53C23×C411yescharacteristic
261C2×C4×C53C2×#4111yescharacteristic
262C2×C4×C53C2×#4111yescharacteristic
263C2×C4×C53C2×#4111yescharacteristic
264C2×Dic53—21no—
265C2×Dic53—21no—
266C2×Dic53—21no—
267C2×Dic53—21no—
268C2×Dic53—21no—
269C2×Dic53—21no—
270C2×Dic53—21no—
271C2×Dic53—21no—
272C2×Dic53—22no—
273C2×Dic53—22no—
274C2×Dic53—22no—
275C2×Dic53—41no—
276C2×Dic53—41no—
277C2×Dic53—41no—
278C2×Dic53—41no—
279C2×Dic53—41no—
280C2×Dic53—41no—
281C2×Dic53—84no—
282C2×Dic53—84no—
283C2×Dic53C4×D412yes—
284C2×Dic53C4×D412yes—
285C2×Dic53C4×D412yes—
286C2×Dic53C4×D412yes—
287D212—22no—
288D212—22no—
289D212—22no—
290D212C2×C4214yes—
291C4×D53—84no—
292C4×D53—84no—
293C4×D53—84no—
294C8×C53—22no—
295C8×C53—22no—
296#88322—22no—
297#88322C2×C4214yes—
298#20503—531nomaximal, Sylow
299C22×C53—24no—
300C22×C53—42no—
301C22×C53—42no—
302C22×C53—42no—
303C22×C53—42no—
304C22×C53—42no—
305C22×C53—42no—
306C22×C53C2×C4×D411yescharacteristic
307C22×C53C2×C4×D411yescharacteristic
308C22×C53C2×C4×D411yescharacteristic
309C22×C53#57611yescharacteristic
310C22×C53#57611yescharacteristic
311C22×C53#57711yescharacteristic
312C22×C53#57711yescharacteristic
313C2×D53—24no—
314C2×D53—42no—
315C2×D53—42no—
316C2×D53—42no—
317C2×D53—42no—
318C2×D53—42no—
319C2×D53—42no—
320C4×C53—22no—
321C4×C53—22no—
322C4×C53—42no—
323C4×C53—42no—
324C4×C53—42no—
325C4×C53C22×C4211yescharacteristic
326C4×C53C4×#4111yescharacteristic
327C4×C53C4×#4111yescharacteristic
328C4×C53C4×#4111yescharacteristic
329Dic53—22no—
330Dic53—22no—
331Dic53—22no—
332Dic53—22no—
333Dic53—42no—
334Dic53—42no—
335Dic53—42no—
336C2×#442—531no—
337C2×#442—531no—
338C2×C4×D8—531no—
339#2275—531no—
340#2275—531no—
341#1776—531no—
342#1776—531no—
343C4×#106—531no—
344#1762—531no—
345#1762—531no—
346C4×#102—531no—
347C4×#102—531no—
348C4×#102—531no—
349C4×#102D5311yescharacteristic, complemented
350#1726—531no—
351C2×C53—44no—
352C2×C53C42×D411yescharacteristic
353C2×C53#294611yescharacteristic
354C2×C53#294611yescharacteristic
355C2×C53#294611yescharacteristic
356C2×C53#294611yescharacteristic
357C2×C53#294811yescharacteristic
358C2×C53#295211yescharacteristic
359D53—44no—
360C22×D8—531no—
361C2×C4×D4—531no—
362C2×C4×D4—531no—
363C2×C4×D4—531no—
364C2×C4×D4—531no—
365C2×C4×D4—531no—
366C2×C4×D4C2×D5311yescharacteristic
367#442—538no—
368#442—538no—
369C4×D8—538no—
370C2×#107—531no—
371C2×#106—531no—
372C2×#106—531no—
373C2×#102—531no—
374C2×#102—531no—
375C2×#102—531no—
376C2×#102—531no—
377C2×#102C2×D5311yescharacteristic
378C2×#102C2×D5311yescharacteristic
379C2×#97—531no—
380C2×#97—531no—
381C2×#97—531no—
382C2×C4×C8—531no—
383C2×C4×C8—531no—
384C2×C4×C8C2×D5311yescharacteristic
385C4×C4⋊C4—531no—
386C4×C4⋊C4—531no—
387C4×C4⋊C4—531no—
388C4×C4⋊C4—531no—
389C4×C4⋊C4—531no—
390C4×C4⋊C4C2×D5311yescharacteristic
391C4×C22⋊C4—1061no—
392C4×C22⋊C4—1061no—
393C4×C22⋊C4—1061no—
394C4×C22⋊C4—1061no—
395C4×C22⋊C4—1061no—
396C4×C22⋊C4—1061no—
397#376—531no—
398C2×#95—1061no—
399C2×#95—1061no—
400#340—531no—
401#340—531no—
402#340—531no—
403#340—531no—
404#340C2×D5311yescharacteristic
405#340C2×D5311yescharacteristic
406C53#2050311yescharacteristic, complemented, Sylow
407C22×D4—531no—
408C22×D4C22×D5311yescharacteristic
409C23×C4—21no—
410C23×C4—1061no—
411C23×C4—1061no—
412C23×C4—1061no—
413C23×C4—1061no—
414C23×C4—1061no—
415C2×D8—534no—
416C2×D8—534no—
417C2×D8—534no—
418C22×C8—531no—
419C22×C8—531no—
420C22×C8C22×D5311yescharacteristic
421C22×C8C22×D5311yescharacteristic
422C4×D4—22no—
423C4×D4—534no—
424C4×D4—534no—
425C4×D4—534no—
426C4×D4—534no—
427C4×D4—534no—
428C4×D4—1062no—
429C4×D4—1062no—
430C4×D4—1062no—
431C4×D4—1062no—
432C4×D4—1062no—
433C4×D4C4×D5314yescomplemented
434C2×C4⋊C4—531no—
435C2×C4⋊C4—531no—
436C2×C4⋊C4—531no—
437C2×C4⋊C4C22×D5311yescharacteristic
438C2×C4⋊C4C22×D5311yescharacteristic
439C2×C4⋊C4C22×D5311yescharacteristic
440C2×C22⋊C4—21no—
441C2×C22⋊C4—1061no—
442C2×C22⋊C4—1061no—
443C2×C22⋊C4—1061no—
444C2×C22⋊C4—1061no—
445C2×C22⋊C4—1061no—
446C2×C42—21no—
447C2×C42—531no—
448C2×C42—531no—
449C2×C42—1061no—
450C2×C42—1061no—
451C2×C42—1061no—
452C2×C42—1061no—
453C2×C42—1061no—
454C2×C42C22×D5311yescharacteristic
455#107—534no—
456#106—534no—
457#106—534no—
458#102—534no—
459#102—534no—
460#102—534no—
461#102—534no—
462#102C4×D5314yescomplemented
463#102C4×D5314yescomplemented
464#97—534no—
465#97—534no—
466#97—1062no—
467C4×C8—22no—
468C4×C8—534no—
469C4×C8—1062no—
470#95—21no—
471#95—531no—
472#95—531no—
473#95—531no—
474#95—531no—
475#95—1061no—
476#95—1061no—
477#95—1061no—
478#95—1061no—
479#95—1061no—
480C24—21no—
481C24—1061no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—532no—
486C2×D4—532no—
487C2×D4—532no—
488C2×D4—1061no—
489C2×D4—1061no—
490C2×D4—1061no—
491C2×D4C2×C4×D5312yes—
492C2×D4C2×C4×D5312yes—
493C2×D4C2×C4×D5312yes—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—24no—
498C22×C4—81no—
499C22×C4—81no—
500C22×C4—531no—
501C22×C4—531no—
502C22×C4—531no—
503C22×C4—531no—
504C22×C4—1064no—
505C22×C4—1064no—
506C22×C4—1064no—
507C22×C4—1064no—
508C22×C4—1061no—
509C22×C4—1061no—
510C22×C4—1061no—
511C22×C4—1064no—
512C22×C4—4241no—
513C22×C4—4241no—
514C22×C4—4241no—
515C22×C4—4241no—
516C22×C4—4241no—
517C22×C4—4241no—
518C22×C4—4241no—
519C22×C4—4241no—
520C22×C4—4241no—
521C22×C4—4241no—
522C22×C4D4×D5311yescharacteristic
523C22×C4D4×D5311yescharacteristic
524C22×C4C23×D5311yescharacteristic
525D8—5316no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—532no—
531C2×C8—532no—
532C2×C8—532no—
533C2×C8—532no—
534C2×C8—1061no—
535C2×C8—1061no—
536C2×C8C2×C4×D5312yes—
537C2×C8C2×C4×D5312yes—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—532no—
542C4⋊C4—532no—
543C4⋊C4—532no—
544C4⋊C4—1061no—
545C4⋊C4—1061no—
546C4⋊C4—1061no—
547C4⋊C4C2×C4×D5312yes—
548C4⋊C4C2×C4×D5312yes—
549C4⋊C4C2×C4×D5312yes—
550C22⋊C4—24no—
551C22⋊C4—1064no—
552C22⋊C4—1064no—
553C22⋊C4—1064no—
554C22⋊C4—1064no—
555C22⋊C4—1064no—
556C42—81no—
557C42—532no—
558C42—532no—
559C42—532no—
560C42—532no—
561C42—4241no—
562C42—4241no—
563C42—4241no—
564C42—4241no—
565C42—4241no—
566C42C2×C4×D5312yes—
567C42#1171994712yes—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—1062no—
576C23—1062no—
577C23—1062no—
578C23—2121no—
579C23—2121no—
580C23—2121no—
581C23—2121no—
582C23C2×D4×D5311yescharacteristic
583D4—22no—
584D4—22no—
585D4—22no—
586D4—534no—
587D4—1062no—
588D4—1062no—
589D4—1062no—
590D4C42×D5314yes—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—84no—
605C2×C4—532no—
606C2×C4—532no—
607C2×C4—532no—
608C2×C4—532no—
609C2×C4—1061no—
610C2×C4—1061no—
611C2×C4—1061no—
612C2×C4—1061no—
613C2×C4—1061no—
614C2×C4—1061no—
615C2×C4—1061no—
616C2×C4—1061no—
617C2×C4—1062no—
618C2×C4—1062no—
619C2×C4—1062no—
620C2×C4—4244no—
621C2×C4—4244no—
622C2×C4—4244no—
623C2×C4—4244no—
624C2×C4—4244no—
625C2×C4—2121no—
626C2×C4—2121no—
627C2×C4—2121no—
628C2×C4—2121no—
629C2×C4—2121no—
630C2×C4—2121no—
631C2×C4#1313317712yes—
632C2×C4#1313317712yes—
633C2×C4C22×C4×D5311yescharacteristic
634C2×C4C22×C4×D5311yescharacteristic
635C2×C4C22×C4×D5311yescharacteristic
636C2×C4#41×D5311yescharacteristic
637C2×C4#41×D5311yescharacteristic
638C2×C4C2×#1171994711yescharacteristic
639C8—22no—
640C8—22no—
641C8—534no—
642C8—1062no—
643C22—24no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—1064no—
651C22—2122no—
652C22—2122no—
653C22—2122no—
654C22—2122no—
655C22—2122no—
656C22—2122no—
657C22C4×D4×D5311yescharacteristic
658C22C4×D4×D5311yescharacteristic
659C22C2×#1313317711yescharacteristic
660C22#1681142411yescharacteristic
661C22#1681142511yescharacteristic
662C22#1681142911yescharacteristic
663C22#1681143011yescharacteristic
664C4—22no—
665C4—22no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—1062no—
670C4—1062no—
671C4—1062no—
672C4—1062no—
673C4—2122no—
674C4—2122no—
675C4—2122no—
676C4C2×C42×D5311yescharacteristic
677C4C4×#1171994711yescharacteristic
678C4C4×#1171994711yescharacteristic
679C4#1681109111yescharacteristic
680C2—44no—
681C2—2124no—
682C2C4×#1313317711yescharacteristic
683C2#2028354011yescharacteristic
684C2#2028354111yescharacteristic
685C2#2028354211yescharacteristic
686C2#2028355011yescharacteristic
687C2#2028356211yescharacteristic
688C2#2028359311yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC4×C53C22×C42
FrattiniC22×C4C23×D53
FittingC4×#102×C53C2
socleC23×C53C22×D4
prime radicalC22×#11719922C22
cosocleC22×C4×C53C24
hypercenterC4×#102D53
hypocenterC53#20503
LCSG ▷ C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
4. #20277076C2semidirect
5. #20277075C2semidirect
6. #20274613C2semidirect
7. #20274611C2semidirect
8. #20274603C2semidirect
9. #20274542C2semidirect
10. #20274539C2semidirect
11. #102×Dic53C2semidirect
12. C4×#13133139C2semidirect
13. #20274529C2semidirect
14. #20274401C2semidirect
15. C4×#102×C53C2semidirect
22. #16810733C4semidirect
23. #16810732C4semidirect
24. #16810703C4semidirect
74. C4×D212C2×C4semidirect
77. D4×Dic53C2×C4semidirect
78. D4×Dic53C2×C4semidirect
81. #13133179C2×C4semidirect
82. #13133179C2×C4semidirect
98. #13133150C2×C4semidirect
99. #13133148C2×C4semidirect
100. #13133148C2×C4semidirect
101. #13133139C2×C4semidirect
102. #13133139C2×C4semidirect
103. #13133138C2×C4semidirect
104. #13133137C2×C4semidirect
105. #13133128C2×C4semidirect
107. #13133127C2×C4semidirect
109. C8×Dic53C2×C4semidirect
124. C4×D4×C53C2×C4semidirect
131. #102×C53C2×C4semidirect
132. #102×C53C2×C4semidirect
198. #11719922C42semidirect
349. C4×#102D53semidirect
406. C53#20503semidirect
433. C4×D4C4×D53semidirect
462. #102C4×D53semidirect
463. #102C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168107332
C2×#168107322
C2×#168107032
#202770762
#202770752
#202746132
#202746112
#202746032
#202745422
#202745392
#102×Dic532
C4×#131331392
#202745292
#202744012
C4×#102×C532
#2050353