Finite Group Databasebeta

← #27404424

Subgroups — #27404424

Order 13568.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810779C211yesmaximal, characteristic
2C2×#16810727C211yesmaximal, characteristic, complemented
3#20277720C211yesmaximal, characteristic
4Q8×C22⋊Dic53C211yesmaximal, characteristic
5#20275583C211yesmaximal, characteristic, complemented
6#20275402C211yesmaximal, characteristic, complemented
7#20275352C211yesmaximal, characteristic, complemented
8#20275138C211yesmaximal, characteristic
9#20275054C211yesmaximal, characteristic, complemented
10#20275053C211yesmaximal, characteristic, complemented
11#20274981C211yesmaximal, characteristic, complemented
12#20274908C211yesmaximal, characteristic
13#20274547C211yesmaximal, characteristic, complemented
14#20274491C211yesmaximal, characteristic
15C22×#103×C53C211yesmaximal, characteristic
16C22×#11719925C2211yescharacteristic
17C22×#11719925C2211yescharacteristic
18C2×#13133196C2211yescharacteristic
19C2×Q8×Dic53C2211yescharacteristic
20C2×Q8×Dic53C2211yescharacteristic
21C2×#13133182C2211yescharacteristic
22#16810779C418yescomplemented
23#16810727—24no—
24C2×#13133148C2211yescharacteristic
25C2×#13133148C2211yescharacteristic
26C2×#13133142C2211yescharacteristic
27C2×#13133142C2211yescharacteristic
28C2×#13133141C2211yescharacteristic
29C2×#13133141C2211yescharacteristic
30C2×C22⋊#88322C2211yescharacteristic
31C2×#13133127C2211yescharacteristic
32C2×#13133127C2211yescharacteristic
33#16810530—21no—
34#16810530—21no—
35#16810530C2211yescharacteristic
36#16810530C2211yescharacteristic
37#16810528C2211yescharacteristic
38#16810519C2211yescharacteristic
39#16810518—21no—
40#16810504—21no—
41#16810496—21no—
42#16810483—21no—
43#16810483C2211yescharacteristic
44C4⋊C4×Dic53C2211yescharacteristic
45C4×C22⋊Dic53—21no—
46C4×C22⋊Dic53—21no—
47C4×C22⋊Dic53C2211yescharacteristic
48#16810386C2211yescharacteristic
49#16810386C2211yescharacteristic
50#16810385C2211yescharacteristic
51#16810385C2211yescharacteristic
52#16810377C2211yescharacteristic
53#16810377C2211yescharacteristic
54C23×Q8×C53C2211yescharacteristic
55C23×C8×C53C2211yescharacteristic
56C22×C4⋊C4×C53C2211yescharacteristic
57C2×#103×C53—24no—
58C2×#103×C53C2211yescharacteristic
59C2×#103×C53C2211yescharacteristic
60C2×#103×C53C2211yescharacteristic
61C2×#103×C53C2211yescharacteristic
62C22×Dic106C2311yescharacteristic
63C2×#11719925—22no—
64C2×#11719925—22no—
65C2×#11719925—41no—
66C2×#11719925—41no—
67C2×#11719925C2×C414yescomplemented
68C2×#11719925C2×C414yescomplemented
69C22×#88322C2311yescharacteristic
70C22×#88322C2311yescharacteristic
71#13133196—22no—
72#13133196C2×C414yes—
73Q8×Dic53—22no—
74Q8×Dic53—22no—
75Q8×Dic53—41no—
76Q8×Dic53—41no—
77#13133182—22no—
78#13133182—41no—
79C2×C4⋊Dic53—21no—
80C2×C4⋊Dic53—21no—
81C2×C4⋊Dic53C2311yescharacteristic
82C2×C4⋊Dic53C2311yescharacteristic
83C2×C4⋊Dic53C2311yescharacteristic
84C2×#11719919—21no—
85C2×#11719919—21no—
86C2×#11719919—21no—
87C2×C22⋊Dic53—21no—
88C2×C22⋊Dic53—21no—
89C2×C22⋊Dic53D411yescharacteristic
90C2×C22⋊Dic53D411yescharacteristic
91C2×C4×Dic53—21no—
92C2×C4×Dic53—21no—
93C2×C4×Dic53—21no—
94C2×C4×Dic53—21no—
95C2×C4×Dic53C2311yescharacteristic
96C2×C4×Dic53C2311yescharacteristic
97#13133148—22no—
98#13133148—41no—
99#13133142—22no—
100#13133142—41no—
101#13133141C2×C414yescomplemented
102#13133141C2×C414yescomplemented
103C22⋊#88322C2×C414yes—
104#13133127—22no—
105#13133127—41no—
106#13133124—21no—
107#13133124—21no—
108#13133124—21no—
109#13133124—21no—
110#13133124—21no—
111#13133124—21no—
112#13133124—21no—
113#13133124—21no—
114#13133124—21no—
115#13133124D411yescharacteristic
116#13133124D411yescharacteristic
117C22×Q8×C53—21no—
118C22×Q8×C53—22no—
119C22×Q8×C53—22no—
120C22×Q8×C53—22no—
121C22×Q8×C53—41no—
122C22×Q8×C53—41no—
123C22×Q8×C53C2×C414yes—
124C22×Q8×C53C2311yescharacteristic
125C22×Q8×C53C2311yescharacteristic
126C23×C4×C53—21no—
127C23×C4×C53—21no—
128C23×C4×C53C2311yescharacteristic
129C22×C8×C53—22no—
130C22×C8×C53—22no—
131C22×C8×C53—41no—
132C22×C8×C53C2311yescharacteristic
133C22×C8×C53C2311yescharacteristic
134C2×C4⋊C4×C53—21no—
135C2×C4⋊C4×C53—22no—
136C2×C4⋊C4×C53—41no—
137C2×C4⋊C4×C53C2311yescharacteristic
138C2×C4⋊C4×C53C2311yescharacteristic
139#103×C53—22no—
140#103×C53—22no—
141#103×C53—22no—
142#103×C53D414yes—
143C24×C53C2×D411yescharacteristic
144C2×Q8×C53—24no—
145C2×Q8×C53—21no—
146C2×Q8×C53—21no—
147C2×Q8×C53—21no—
148C2×Q8×C53—21no—
149C2×Q8×C53—28no—
150C2×Q8×C53—21no—
151C2×Q8×C53—21no—
152C2×Q8×C53—21no—
153C2×Q8×C53—21no—
154C2×Q8×C53—42no—
155C2×Q8×C53—42no—
156C2×Q8×C53—44no—
157C2×Q8×C53—44no—
158C2×Q8×C53—44no—
159C2×Q8×C53C22×C412yes—
160C2×Q8×C53C22×C412yes—
161C2×Q8×C53C2×D412yes—
162C2×Q8×C53#4112yes—
163C22×C4×C53—21no—
164C22×C4×C53—21no—
165C22×C4×C53—21no—
166C22×C4×C53—21no—
167C22×C4×C53—21no—
168C22×C4×C53—24no—
169C22×C4×C53—21no—
170C22×C4×C53—21no—
171C22×C4×C53—21no—
172C22×C4×C53—42no—
173C22×C4×C53—42no—
174C22×C4×C53—42no—
175C22×C4×C53—42no—
176C22×C4×C53—81no—
177C22×C4×C53C22×C412yes—
178C22×C4×C53C2×D411yescharacteristic
179C22×C4×C53#4112yes—
180C22×C4×C53C2411yescharacteristic
181C22×Dic53—21no—
182C22×Dic53—21no—
183C22×Dic53—21no—
184C22×Dic53—21no—
185C22×Dic53C2×D411yescharacteristic
186C22×Dic53C2×D411yescharacteristic
187C22×Dic53C2×D411yescharacteristic
188C22×Dic53C2×D411yescharacteristic
189C2×Dic106—21no—
190C2×Dic106—21no—
191C2×Dic106—21no—
192C2×Dic106—21no—
193C2×Dic106—21no—
194C2×Dic106C22×C412yes—
195C2×C8×C53—21no—
196C2×C8×C53—21no—
197C2×C8×C53—21no—
198C2×C8×C53—21no—
199C2×C8×C53—21no—
200C2×C8×C53—44no—
201C2×C8×C53C2×D412yes—
202C4⋊C4×C53—21no—
203C4⋊C4×C53—21no—
204C4⋊C4×C53—21no—
205C4⋊C4×C53—42no—
206C4⋊C4×C53C2×D412yes—
207C22⋊Dic53—24no—
208C22⋊Dic53—22no—
209C22⋊Dic53—22no—
210C22⋊Dic53—42no—
211#11719925—28no—
212#11719925—44no—
213C4⋊Dic53—21no—
214C4⋊Dic53—21no—
215C4⋊Dic53—21no—
216C4⋊Dic53—21no—
217C4⋊Dic53—21no—
218C4⋊Dic53—42no—
219C4⋊Dic53—42no—
220C4⋊Dic53C22×C412yes—
221#11719919—24no—
222#11719919—42no—
223#11719919—81no—
224C4×Dic53—21no—
225C4×Dic53—21no—
226C4×Dic53—21no—
227C4×Dic53—21no—
228C4×Dic53—42no—
229C4×Dic53—42no—
230C4×Dic53—42no—
231C4×Dic53—81no—
232C2×#88322—21no—
233C2×#88322—21no—
234C2×#88322—21no—
235C2×#88322—21no—
236C2×#88322C22×C412yes—
237C2×#88322C22×C412yes—
238C23×C53—21no—
239C23×C53—21no—
240C23×C53—21no—
241C23×C53—21no—
242C23×C53C4×D412yes—
243C23×C53#13712yes—
244C23×C53#13712yes—
245C23×C53C22×D411yescharacteristic
246Q8×C53—22no—
247Q8×C53—22no—
248Q8×C53—22no—
249Q8×C53—22no—
250Q8×C53—22no—
251Q8×C53—48no—
252Q8×C53—41no—
253Q8×C53—41no—
254Q8×C53C4×D414yes—
255C2×C4×C53—22no—
256C2×C4×C53—21no—
257C2×C4×C53—22no—
258C2×C4×C53—21no—
259C2×C4×C53—22no—
260C2×C4×C53—22no—
261C2×C4×C53—22no—
262C2×C4×C53—22no—
263C2×C4×C53—22no—
264C2×C4×C53—22no—
265C2×C4×C53—22no—
266C2×C4×C53—48no—
267C2×C4×C53—41no—
268C2×C4×C53—41no—
269C2×C4×C53—41no—
270C2×C4×C53—41no—
271C2×C4×C53—41no—
272C2×C4×C53—41no—
273C2×C4×C53—41no—
274C2×C4×C53—84no—
275C2×C4×C53C4×D412yes—
276C2×C4×C53C23×C411yescharacteristic
277C2×C4×C53C22×D411yescharacteristic
278C2×C4×C53C2×#4111yescharacteristic
279C2×C4×C53C2×#4111yescharacteristic
280C2×C4×C53H(5,𝔽2)11yescharacteristic
281C2×C4×C53H(5,𝔽2)11yescharacteristic
282C2×Dic53—22no—
283C2×Dic53—22no—
284C2×Dic53—21no—
285C2×Dic53—21no—
286C2×Dic53—21no—
287C2×Dic53—21no—
288C2×Dic53—21no—
289C2×Dic53—21no—
290C2×Dic53—21no—
291C2×Dic53—21no—
292C2×Dic53—21no—
293C2×Dic53—21no—
294C2×Dic53—21no—
295C2×Dic53—21no—
296C2×Dic53—41no—
297C2×Dic53—41no—
298C2×Dic53—41no—
299C2×Dic53—41no—
300C2×Dic53—41no—
301C2×Dic53—41no—
302C2×Dic53—41no—
303C2×Dic53—41no—
304C2×Dic53—41no—
305C2×Dic53—41no—
306Dic106—22no—
307Dic106—22no—
308Dic106—41no—
309Dic106—41no—
310C8×C53—22no—
311C8×C53—41no—
312#88322—22no—
313#88322—22no—
314#22859—531nomaximal, Sylow
315C22×C53—22no—
316C22×C53—22no—
317C22×C53—22no—
318C22×C53—22no—
319C22×C53—22no—
320C22×C53—22no—
321C22×C53#44114yescomplemented
322C22×C53C2×C4×D411yescharacteristic
323C22×C53D4211yescharacteristic
324C22×C53#54611yescharacteristic
325C22×C53C2×#13711yescharacteristic
326C22×C53C2×#13711yescharacteristic
327C22×C53#57711yescharacteristic
328C22×C53#57811yescharacteristic
329C4×C53—22no—
330C4×C53—24no—
331C4×C53—42no—
332C4×C53—42no—
333C4×C53—81no—
334C4×C53C2×C4×D411yescharacteristic
335C4×C53#51811yescharacteristic
336C4×C53#54611yescharacteristic
337C4×C53#55111yescharacteristic
338Dic53—42no—
339Dic53—42no—
340Dic53—41no—
341Dic53—41no—
342Dic53—41no—
343Dic53—41no—
344Dic53—81no—
345Dic53—81no—
346C2×#451—531no—
347C2×#441—531no—
348C22×#103D5311yescharacteristic
349#2360—531no—
350Q8×C22⋊C4—531no—
351#1971—531no—
352#1935—531no—
353#1927—531no—
354#1892—531no—
355#1878—531no—
356#1878—531no—
357#1865—531no—
358#1853—531no—
359#1763—531no—
360#1752—531no—
361C2×C53—24no—
362C2×C53#235811yescharacteristic
363C2×C53C2×#44111yescharacteristic
364C2×C53#294711yescharacteristic
365C2×C53#326611yescharacteristic
366C2×C53#327011yescharacteristic
367C2×C53#331211yescharacteristic
368C2×C53#331611yescharacteristic
369C23×Q8C2×D5311yescharacteristic
370C22×Q16—531no—
371C22×Q16—531no—
372C23×C8C2×D5311yescharacteristic
373C2×C22⋊Q8—531no—
374C2×C4×Q8—531no—
375C2×C4×Q8—531no—
376C2×C4×Q8—531no—
377C22×C4⋊C4C2×D5311yescharacteristic
378#451—538no—
379#441—1064no—
380C2×#106—531no—
381C2×#106—531no—
382C2×#103—24no—
383C2×#103—531no—
384C2×#103—531no—
385C2×#103—531no—
386C2×#103—531no—
387C2×#103C2×D5311yescharacteristic
388C2×#103C2×D5311yescharacteristic
389C2×#103C2×D5311yescharacteristic
390C2×#103C2×D5311yescharacteristic
391C2×C22⋊C8—531no—
392C2×#97—531no—
393C2×#97—531no—
394#391—531no—
395#391—531no—
396#391—531no—
397#391—1061no—
398#391—1061no—
399#389—531no—
400#389—1061no—
401#387—1061no—
402#385—1061no—
403#380—531no—
404#380—1061no—
405C4×C4⋊C4—531no—
406C4×C22⋊C4—531no—
407C4×C22⋊C4—1061no—
408C4×C22⋊C4—1061no—
409#340—531no—
410#340—531no—
411#340—531no—
412#340—531no—
413#336—531no—
414#336—531no—
415C53#2285911yescharacteristic, complemented, Sylow
416C22×Q8—21no—
417C22×Q8—22no—
418C22×Q8—22no—
419C22×Q8—22no—
420C22×Q8—41no—
421C22×Q8—41no—
422C22×Q8—531no—
423C22×Q8C4×D5314yes—
424C22×Q8C22×D5311yescharacteristic
425C22×Q8C22×D5311yescharacteristic
426C23×C4—21no—
427C23×C4—21no—
428C23×C4C22×D5311yescharacteristic
429C2×Q16—534no—
430C2×Q16—534no—
431C2×Q16—1062no—
432C2×Q16—1062no—
433C2×Q16—2121no—
434C2×Q16—2121no—
435C22×C8—22no—
436C22×C8—22no—
437C22×C8—41no—
438C22×C8—531no—
439C22×C8—531no—
440C22×C8C22×D5311yescharacteristic
441C22×C8C22×D5311yescharacteristic
442C22⋊Q8—534no—
443C22⋊Q8—1062no—
444C4×Q8—1062no—
445C4×Q8—1062no—
446C4×Q8—1062no—
447C4×Q8—2121no—
448C4×Q8—2121no—
449C4×Q8—2121no—
450C2×C4⋊C4—22no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—41no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—531no—
456C2×C4⋊C4—1061no—
457C2×C4⋊C4—1061no—
458C2×C4⋊C4—1061no—
459C2×C4⋊C4—1061no—
460C2×C4⋊C4—1061no—
461C2×C4⋊C4C22×D5311yescharacteristic
462C2×C4⋊C4C22×D5311yescharacteristic
463C2×C22⋊C4—531no—
464C2×C22⋊C4—531no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4—1061no—
467C2×C42—531no—
468C2×C42—531no—
469C2×C42—1061no—
470C2×C42—1061no—
471C2×C42—1061no—
472C2×C42—1061no—
473#106—1062no—
474#106—2121no—
475#103—22no—
476#103—22no—
477#103—22no—
478#103—534no—
479#103—534no—
480#103—1062no—
481#103—2121no—
482#103C22⋊D5314yes—
483C22⋊C8—534no—
484#97—1062no—
485#97—2121no—
486#95—531no—
487#95—531no—
488#95—1061no—
489#95—1061no—
490#95—1061no—
491#95—1061no—
492#95—1061no—
493#95—1061no—
494#95—1061no—
495#95—1061no—
496#95—1061no—
497C24D4×D5311yescharacteristic
498C2×Q8—24no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—28no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—42no—
509C2×Q8—42no—
510C2×Q8—44no—
511C2×Q8—44no—
512C2×Q8—44no—
513C2×Q8—532no—
514C2×Q8—1061no—
515C2×Q8—1061no—
516C2×Q8—1061no—
517C2×Q8—1061no—
518C2×Q8—1061no—
519C2×Q8C2×C4×D5312yes—
520C2×Q8C2×C4×D5312yes—
521C2×Q8#1171994512yes—
522C2×Q8C2×C22⋊D5312yes—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—24no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—81no—
537C22×C4—531no—
538C22×C4—531no—
539C22×C4—531no—
540C22×C4—531no—
541C22×C4—1061no—
542C22×C4—1061no—
543C22×C4—1061no—
544C22×C4—1061no—
545C22×C4C2×C4×D5312yes—
546C22×C4D4×D5311yescharacteristic
547C22×C4#1171994712yes—
548C22×C4C23×D5311yescharacteristic
549Q16—1068no—
550Q16—2124no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—44no—
557C2×C8—532no—
558C2×C8—532no—
559C2×C8—1061no—
560C2×C8—1061no—
561C2×C8—1061no—
562C2×C8—1061no—
563C2×C8C2×C22⋊D5312yes—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—42no—
568C4⋊C4—532no—
569C4⋊C4—1064no—
570C4⋊C4—1061no—
571C4⋊C4—1061no—
572C4⋊C4—1061no—
573C4⋊C4—1061no—
574C4⋊C4—1061no—
575C4⋊C4—4241no—
576C4⋊C4—2122no—
577C4⋊C4—2122no—
578C4⋊C4—2122no—
579C4⋊C4C2×C22⋊D5312yes—
580C22⋊C4—1064no—
581C22⋊C4—1062no—
582C22⋊C4—1062no—
583C22⋊C4—2122no—
584C42—1061no—
585C42—1061no—
586C42—1061no—
587C42—1061no—
588C42—4241no—
589C42—2122no—
590C42—2122no—
591C42—2122no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23#1313317712yes—
597C23#1313324612yes—
598C23#1313324912yes—
599C23C2×D4×D5311yescharacteristic
600Q8—22no—
601Q8—22no—
602Q8—22no—
603Q8—22no—
604Q8—22no—
605Q8—48no—
606Q8—41no—
607Q8—41no—
608Q8—1062no—
609Q8—1062no—
610Q8—2121no—
611Q8—2121no—
612Q8C4×C22⋊D5314yes—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—48no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—84no—
633C2×C4—1062no—
634C2×C4—1062no—
635C2×C4—1061no—
636C2×C4—1061no—
637C2×C4—1061no—
638C2×C4—1061no—
639C2×C4—1061no—
640C2×C4—1061no—
641C2×C4—1061no—
642C2×C4—1061no—
643C2×C4—1061no—
644C2×C4—1061no—
645C2×C4—1061no—
646C2×C4—1061no—
647C2×C4—2121no—
648C2×C4—2121no—
649C2×C4—2121no—
650C2×C4—2121no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4—2121no—
655C2×C4—2121no—
656C2×C4—2121no—
657C2×C4#1313317712yes—
658C2×C4C22×C4×D5311yescharacteristic
659C2×C4C22×C22⋊D5311yescharacteristic
660C2×C4C2×#1171994711yescharacteristic
661C2×C4C2×#1171994511yescharacteristic
662C2×C4#1313326211yescharacteristic
663C2×C4#1313326211yescharacteristic
664C8—22no—
665C8—41no—
666C8—1062no—
667C8—1062no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22#1681072714yescomplemented
675C22C2×#1313317711yescharacteristic
676C22D4×C22⋊D5311yescharacteristic
677C22#1681126311yescharacteristic
678C22C2×#1313324611yescharacteristic
679C22C2×#1313324911yescharacteristic
680C22#1681142911yescharacteristic
681C22#1681143611yescharacteristic
682C4—22no—
683C4—24no—
684C4—42no—
685C4—42no—
686C4—81no—
687C4—4241no—
688C4—4241no—
689C4—2121no—
690C4—2121no—
691C4—2121no—
692C4—2121no—
693C4—2122no—
694C4—2122no—
695C4C2×C4×C22⋊D5311yescharacteristic
696C4#1681109611yescharacteristic
697C4#1681126711yescharacteristic
698C4#1681129911yescharacteristic
699C2—24no—
700C2#2027769411yescharacteristic
701C2C2×#1681072711yescharacteristic
702C2#2028355211yescharacteristic
703C2#2028622511yescharacteristic
704C2#2028628511yescharacteristic
705C2#2028676211yescharacteristic
706C2#2028682211yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC22×#103×C53C2
socleC23×C53C22×D4
prime radicalC24×C53C2×D4
cosocleC22×C4×C53C24
hypercenterC22×#103D53
hypocenterC53#22859
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#103

Complements

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

NH ≅ G/Ntype
2. C2×#16810727C2semidirect
5. #20275583C2semidirect
6. #20275402C2semidirect
7. #20275352C2semidirect
9. #20275054C2semidirect
10. #20275053C2semidirect
11. #20274981C2semidirect
13. #20274547C2semidirect
22. #16810779C4semidirect
67. C2×#11719925C2×C4semidirect
68. C2×#11719925C2×C4semidirect
101. #13133141C2×C4semidirect
102. #13133141C2×C4semidirect
321. C22×C53#441semidirect
415. C53#22859semidirect
674. C22#16810727semidirect

Maximal subgroups

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

subgroupindex
C2×#168107792
C2×#168107272
#202777202
Q8×C22⋊Dic532
#202755832
#202754022
#202753522
#202751382
#202750542
#202750532
#202749812
#202749082
#202745472
#202744912
C22×#103×C532
#2285953