Finite Group Databasebeta

← #27389361

Subgroups — #27389361

Order 13568.

1134 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811244C211yesmaximal, characteristic
2#20277324C211yesmaximal, characteristic, complemented
3#20275688C211yesmaximal, characteristic, complemented
4#20275676C211yesmaximal, characteristic, complemented
5#20275531C211yesmaximal, characteristic, complemented
6#20275526C211yesmaximal, characteristic, complemented
7#20275153C211yesmaximal, characteristic
8#20275148C211yesmaximal, characteristic, complemented
9#20275143C211yesmaximal, characteristic
10#20275138C211yesmaximal, characteristic, complemented
11#20274546C211yesmaximal, characteristic, complemented
12#20274541C211yesmaximal, characteristic, complemented
13C4×#13133142C211yesmaximal, characteristic, complemented
14C4×#13133139C211yesmaximal, characteristic, complemented
15C2×C53×#405C211yesmaximal, characteristic, complemented
16#16811244—24no—
17#16811244C418yescomplemented
18C2×#13133217C2211yescharacteristic
19C2×#13133212—21no—
20C2×#13133205C2211yescharacteristic
21C2×#13133203—21no—
22C2×#13133199—21no—
23C2×#13133196C2211yescharacteristic
24C2×#13133195—21no—
25C2×#13133191C2211yescharacteristic
26C2×C4×Dic106C2211yescharacteristic
27C2×C4×D212C2211yescharacteristic
28C2×#13133142C2211yescharacteristic
29C2×#13133142C2211yescharacteristic
30C2×#13133142C2211yescharacteristic
31C2×#13133142C2211yescharacteristic
32C2×#13133139C2211yescharacteristic
33C2×#13133139C2211yescharacteristic
34C2×#13133139C2211yescharacteristic
35C2×#13133139C2211yescharacteristic
36#16810516—21no—
37#16810516—21no—
38#16810509—21no—
39#16810509—21no—
40#16810493C2211yescharacteristic
41#16810489C2211yescharacteristic
42#16810483C2211yescharacteristic
43#16810483C2211yescharacteristic
44C4×C4⋊Dic53C2211yescharacteristic
45C4×C4⋊Dic53C2211yescharacteristic
46#16810386C2211yescharacteristic
47#16810386C2211yescharacteristic
48#16810386C2211yescharacteristic
49#16810386C2211yescharacteristic
50#16810386C2211yescharacteristic
51#16810386C2211yescharacteristic
52#16810386C2211yescharacteristic
53#16810386C2211yescharacteristic
54C22×M16×C53C2211yescharacteristic
55C23×C8×C53C2211yescharacteristic
56C2×#117×C53C2211yescharacteristic
57C53×#405—24no—
58C2×#97×C53C2211yescharacteristic
59C2×#97×C53C2211yescharacteristic
60C2×C4×C8×C53C2211yescharacteristic
61C2×C4×C8×C53C2211yescharacteristic
62C22×Dic106—21no—
63C22×Dic106C2311yescharacteristic
64C22×D212C2311yescharacteristic
65C22×C22⋊D53—21no—
66C22×C4×D53—21no—
67#13133217—22no—
68#13133217C2×C414yes—
69#13133212—28no—
70#13133205—22no—
71#13133205C2×C414yes—
72#13133203—28no—
73#13133199—28no—
74#13133196—22no—
75#13133196C2×C414yes—
76#13133195—28no—
77#13133191—22no—
78#13133191C2×C414yes—
79C4×Dic106—22no—
80C4×Dic106C2×C414yes—
81C4×D212—22no—
82C4×D212C2×C414yes—
83C2×C4⋊Dic53—21no—
84C2×C4⋊Dic53—21no—
85C2×C4⋊Dic53—21no—
86C2×C4⋊Dic53C2311yescharacteristic
87C2×C4⋊Dic53C2311yescharacteristic
88C2×C4⋊Dic53C2311yescharacteristic
89C2×C4⋊Dic53C2311yescharacteristic
90C2×C4⋊Dic53C2311yescharacteristic
91C2×C4⋊Dic53C2311yescharacteristic
92C2×#11719919—21no—
93C2×#11719919—21no—
94C2×C22⋊Dic53—21no—
95C2×C22⋊Dic53—21no—
96C2×C22⋊Dic53—21no—
97C2×#11719921—21no—
98C2×#11719921—21no—
99C2×#11719921—21no—
100C2×#11719921—21no—
101C2×C4×Dic53—21no—
102C2×C4×Dic53—21no—
103C2×C4×Dic53—21no—
104#13133142—22no—
105#13133142—22no—
106#13133142—22no—
107#13133142—22no—
108#13133139—22no—
109#13133139—22no—
110#13133139—22no—
111#13133139—22no—
112#13133124—21no—
113#13133124—21no—
114#13133124—21no—
115#13133124—21no—
116#13133124—21no—
117#13133124—21no—
118C23×C4×C53C2311yescharacteristic
119C2×M16×C53—22no—
120C2×M16×C53—22no—
121C2×M16×C53—22no—
122C22×C8×C53—22no—
123C22×C8×C53—22no—
124C22×C8×C53—22no—
125C22×C8×C53C2311yescharacteristic
126C22×C8×C53C2311yescharacteristic
127C22×C8×C53C2311yescharacteristic
128C22×C8×C53C2311yescharacteristic
129#117×C53C2×C414yes—
130#117×C53D414yes—
131C2×C4⋊C4×C53D411yescharacteristic
132C2×C4⋊C4×C53D411yescharacteristic
133C2×C22⋊C4×C53D411yescharacteristic
134C2×C22⋊C4×C53D411yescharacteristic
135C2×C42×C53C2311yescharacteristic
136C2×C42×C53C2311yescharacteristic
137#97×C53—22no—
138#97×C53—22no—
139C4×C8×C53—22no—
140C4×C8×C53—22no—
141C24×C53C2×D411yescharacteristic
142C23×D53—21no—
143C22×C4×C53—21no—
144C22×C4×C53—21no—
145C22×C4×C53—21no—
146C22×C4×C53—21no—
147C22×C4×C53C22×C412yes—
148C22×C4×C53C2×D411yescharacteristic
149C22×C4×C53C2×D411yescharacteristic
150C22×C4×C53C2×D411yescharacteristic
151C22×C4×C53C2×D411yescharacteristic
152C22×C4×C53C2×D411yescharacteristic
153C22×C4×C53C2×D412yes—
154C22×C4×C53C2411yescharacteristic
155C2×C22⋊D53—24no—
156C2×C22⋊D53—81no—
157C2×C22⋊D53—81no—
158C22×Dic53—21no—
159C22×Dic53—21no—
160C22×Dic53—21no—
161C22×Dic53—21no—
162C22×Dic53—21no—
163C22×Dic53—21no—
164C22×Dic53—21no—
165C2×D212—21no—
166C2×D212—21no—
167C2×D212—21no—
168C2×D212—21no—
169C2×D212—21no—
170C2×D212C22×C412yes—
171C2×C4×D53—24no—
172C2×C4×D53—81no—
173C2×C4×D53—81no—
174C2×Dic106—21no—
175C2×Dic106—21no—
176C2×Dic106—21no—
177C2×Dic106—21no—
178C2×Dic106—21no—
179C2×Dic106—24no—
180C2×Dic106—81no—
181C2×Dic106—81no—
182C2×Dic106C22×C412yes—
183M16×C53—28no—
184C2×C8×C53—28no—
185C2×C8×C53—21no—
186C2×C8×C53—21no—
187C2×C8×C53—21no—
188C2×C8×C53—21no—
189C2×C8×C53—21no—
190C2×C8×C53—21no—
191C2×C8×C53—21no—
192C2×C8×C53—21no—
193C2×C8×C53#4112yes—
194C2×C8×C53#4112yes—
195C2×C8×C53#4112yes—
196C2×C8×C53#4112yes—
197C4⋊C4×C53C22⋊C414yes—
198C4⋊C4×C53C22⋊C414yes—
199C22⋊C4×C53C22⋊C414yes—
200C22⋊C4×C53C22⋊C414yes—
201C42×C53C22×C412yes—
202C42×C53C22×C412yes—
203C42×C53C2×D412yes—
204C42×C53C2×D412yes—
205C22⋊Dic53—24no—
206C22⋊Dic53—81no—
207C22⋊Dic53—81no—
208#11719921—24no—
209#11719921—24no—
210#11719921—24no—
211#11719921—24no—
212C4⋊Dic53—24no—
213C4⋊Dic53—21no—
214C4⋊Dic53—21no—
215C4⋊Dic53—21no—
216C4⋊Dic53—21no—
217C4⋊Dic53—21no—
218C4⋊Dic53—21no—
219C4⋊Dic53—21no—
220C4⋊Dic53—21no—
221C4⋊Dic53—21no—
222C4⋊Dic53—21no—
223C4⋊Dic53—81no—
224C4⋊Dic53—81no—
225C4⋊Dic53C22×C412yes—
226C4⋊Dic53C22×C412yes—
227#11719919—24no—
228#11719919—24no—
229C4×Dic53—24no—
230C4×Dic53—81no—
231C4×Dic53—81no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53C2×C22⋊C412yes—
239C23×C53C22×D411yescharacteristic
240C22×D53—22no—
241C22×D53—41no—
242C22×D53—41no—
243C22×D53—41no—
244C22×D53—41no—
245C22×D53—41no—
246C22×D53—41no—
247C2×C4×C53—21no—
248C2×C4×C53—21no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—21no—
256C2×C4×C53—21no—
257C2×C4×C53—22no—
258C2×C4×C53—22no—
259C2×C4×C53—22no—
260C2×C4×C53—22no—
261C2×C4×C53C2×C22⋊C412yes—
262C2×C4×C53C2×C22⋊C412yes—
263C2×C4×C53C2×C22⋊C412yes—
264C2×C4×C53C2×C22⋊C412yes—
265C2×C4×C53C2×C22⋊C412yes—
266C2×C4×C53C23×C411yescharacteristic
267C2×C4×C53C22×D411yescharacteristic
268C2×C4×C53C2×#4111yescharacteristic
269C2×C4×C53C2×#4111yescharacteristic
270C2×C4×C53C2×#4111yescharacteristic
271C2×C4×C53C2×#4111yescharacteristic
272C22⋊D53—84no—
273C2×Dic53—22no—
274C2×Dic53—22no—
275C2×Dic53—22no—
276C2×Dic53—41no—
277C2×Dic53—41no—
278C2×Dic53—41no—
279C2×Dic53—41no—
280C2×Dic53—41no—
281C2×Dic53—41no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53—41no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287C2×Dic53—41no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294D212—22no—
295D212—22no—
296D212—41no—
297D212—41no—
298C4×D53—84no—
299Dic106—22no—
300Dic106—22no—
301Dic106—41no—
302Dic106—41no—
303Dic106—84no—
304C8×C53—22no—
305C8×C53—22no—
306C8×C53—22no—
307C8×C53—22no—
308#21412—531nomaximal, Sylow
309C22×C53—22no—
310C22×C53—22no—
311C22×C53—22no—
312C22×C53—41no—
313C22×C53—41no—
314C22×C53—41no—
315C22×C53—41no—
316C22×C53C22×C22⋊C411yescharacteristic
317C22×C53#53211yescharacteristic
318C22×C53#53211yescharacteristic
319C22×C53#57611yescharacteristic
320C22×C53#57711yescharacteristic
321C22×C53#57711yescharacteristic
322C22×C53#57811yescharacteristic
323C2×D53—42no—
324C2×D53—42no—
325C2×D53—42no—
326C2×D53—81no—
327C2×D53—81no—
328C2×D53—81no—
329C2×D53—81no—
330C4×C53—22no—
331C4×C53—22no—
332C4×C53—22no—
333C4×C53—22no—
334C4×C53—22no—
335C4×C53C4×#4111yescharacteristic
336C4×C53C4×#4111yescharacteristic
337C4×C53#52511yescharacteristic
338C4×C53#52511yescharacteristic
339Dic53—42no—
340Dic53—42no—
341Dic53—42no—
342Dic53—81no—
343Dic53—81no—
344Dic53—81no—
345Dic53—81no—
346C2×#542—531no—
347C2×#405D5311yescharacteristic, complemented
348#2314—531no—
349#1993—531no—
350#1990—531no—
351#1959—531no—
352#1958—531no—
353#1895—531no—
354#1894—531no—
355#1893—531no—
356#1892—531no—
357#1763—531no—
358#1762—531no—
359C4×#103—531no—
360C4×#102—531no—
361C2×C53—42no—
362C2×C53#229711yescharacteristic
363C2×C53#289711yescharacteristic
364C2×C53#289811yescharacteristic
365C2×C53#317311yescharacteristic
366C2×C53#317511yescharacteristic
367C2×C53#317811yescharacteristic
368C2×C53#317911yescharacteristic
369D53—82no—
370C22×M16C2×D5311yescharacteristic
371C23×C8C2×D5311yescharacteristic
372#542—538no—
373#542—1064no—
374C2×C4⋊Q8—531no—
375C2×#126—1061no—
376C2×#124—531no—
377C2×#124—1061no—
378C2×#123—1061no—
379C2×C22⋊Q8—531no—
380C2×C22⋊Q8—1061no—
381C2×#121—531no—
382C2×C4×Q8—531no—
383C2×C4×D4—531no—
384C2×#117C2×D5311yescharacteristic
385C2×#103—531no—
386C2×#103—531no—
387C2×#103—531no—
388C2×#103—531no—
389C2×#102—531no—
390C2×#102—531no—
391C2×#102—531no—
392C2×#102—531no—
393#405—24no—
394C2×#97C2×D5311yescharacteristic
395C2×#97C2×D5311yescharacteristic
396C2×C4×C8C2×D5311yescharacteristic
397C2×C4×C8C2×D5311yescharacteristic
398#388—1061no—
399#388—1061no—
400#387—1061no—
401#387—1061no—
402#384—531no—
403#382—531no—
404#380—531no—
405#380—531no—
406C4×C4⋊C4—531no—
407C4×C4⋊C4—531no—
408#340—531no—
409#340—531no—
410#340—531no—
411#340—531no—
412#340—531no—
413#340—531no—
414#340—531no—
415#340—531no—
416C53#2141211yescharacteristic, complemented, Sylow
417C22×Q8—531no—
418C22×Q8—1061no—
419C22×D4—531no—
420C22×D4—1061no—
421C23×C4—1061no—
422C23×C4C22×D5311yescharacteristic
423C2×M16—22no—
424C2×M16—22no—
425C2×M16—22no—
426C22×C8—22no—
427C22×C8—22no—
428C22×C8—22no—
429C22×C8C22×D5311yescharacteristic
430C22×C8C22×D5311yescharacteristic
431C22×C8C22×D5311yescharacteristic
432C22×C8C22×D5311yescharacteristic
433C4⋊Q8—534no—
434C4⋊Q8—1062no—
435#126—1068no—
436#124—534no—
437#124—1068no—
438#124—1062no—
439#123—1068no—
440C22⋊Q8—534no—
441C22⋊Q8—1062no—
442C22⋊Q8—1068no—
443#121—534no—
444#121—1062no—
445C4×Q8—534no—
446C4×Q8—1062no—
447C4×D4—534no—
448C4×D4—1062no—
449#117C4×D5314yes—
450#117C22⋊D5314yes—
451C2×C4⋊C4—531no—
452C2×C4⋊C4—531no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—531no—
456C2×C4⋊C4—531no—
457C2×C4⋊C4—1061no—
458C2×C4⋊C4—1061no—
459C2×C4⋊C4—1061no—
460C2×C4⋊C4—1061no—
461C2×C4⋊C4—1061no—
462C2×C4⋊C4D21211yescharacteristic
463C2×C4⋊C4D21211yescharacteristic
464C2×C22⋊C4—1061no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4—1061no—
467C2×C22⋊C4—1061no—
468C2×C22⋊C4—1061no—
469C2×C22⋊C4—1061no—
470C2×C22⋊C4—1061no—
471C2×C22⋊C4D21211yescharacteristic
472C2×C22⋊C4D21211yescharacteristic
473C2×C42—1061no—
474C2×C42—1061no—
475C2×C42—1061no—
476C2×C42C22×D5311yescharacteristic
477C2×C42C22×D5311yescharacteristic
478#103—1062no—
479#103—1062no—
480#103—1062no—
481#103—1062no—
482#102—1062no—
483#102—1062no—
484#102—1062no—
485#102—1062no—
486#97—22no—
487#97—22no—
488C4×C8—22no—
489C4×C8—22no—
490#95—1061no—
491#95—1061no—
492#95—1061no—
493#95—1061no—
494#95—1061no—
495#95—1061no—
496C24—1061no—
497C24C2×D21211yescharacteristic
498C2×Q8—532no—
499C2×Q8—1064no—
500C2×Q8—1061no—
501C2×Q8—1061no—
502C2×Q8—1061no—
503C2×Q8—1061no—
504C2×Q8—1061no—
505C2×Q8—4241no—
506C2×Q8—4241no—
507C2×D4—532no—
508C2×D4—1064no—
509C2×D4—1061no—
510C2×D4—1061no—
511C2×D4—1061no—
512C2×D4—1061no—
513C2×D4—1061no—
514C2×D4—4241no—
515C2×D4—4241no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—1061no—
521C22×C4—1061no—
522C22×C4—1061no—
523C22×C4—1064no—
524C22×C4—1061no—
525C22×C4—1061no—
526C22×C4—1061no—
527C22×C4—1061no—
528C22×C4—4241no—
529C22×C4—4241no—
530C22×C4C2×C4×D5312yes—
531C22×C4C2×D21211yescharacteristic
532C22×C4C2×D21211yescharacteristic
533C22×C4C2×D21211yescharacteristic
534C22×C4C2×D21211yescharacteristic
535C22×C4C2×D21211yescharacteristic
536C22×C4C2×C22⋊D5312yes—
537C22×C4C23×D5311yescharacteristic
538M16—28no—
539C2×C8—28no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8#1171994512yes—
549C2×C8#1171994512yes—
550C2×C8#1171994512yes—
551C2×C8#1171994512yes—
552C4⋊C4—532no—
553C4⋊C4—532no—
554C4⋊C4—1064no—
555C4⋊C4—1064no—
556C4⋊C4—1064no—
557C4⋊C4—1061no—
558C4⋊C4—1061no—
559C4⋊C4—1061no—
560C4⋊C4—1061no—
561C4⋊C4—1061no—
562C4⋊C4—1061no—
563C4⋊C4—1061no—
564C4⋊C4—1061no—
565C4⋊C4—1061no—
566C4⋊C4—1061no—
567C4⋊C4—4241no—
568C4⋊C4—4241no—
569C4⋊C4#1171992114yes—
570C4⋊C4#1171992114yes—
571C22⋊C4—1064no—
572C22⋊C4—1064no—
573C22⋊C4—1064no—
574C22⋊C4—1064no—
575C22⋊C4—1064no—
576C22⋊C4—4241no—
577C22⋊C4—4241no—
578C22⋊C4#1171992114yes—
579C22⋊C4#1171992114yes—
580C42—1064no—
581C42—4241no—
582C42—4241no—
583C42C2×C4×D5312yes—
584C42C2×C4×D5312yes—
585C42C2×C22⋊D5312yes—
586C42C2×C22⋊D5312yes—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—1062no—
594C23—2121no—
595C23—2121no—
596C23—2121no—
597C23—2121no—
598C23—2121no—
599C23—2121no—
600C23C2×#1171992112yes—
601C23C22×D21211yescharacteristic
602Q8—1062no—
603Q8—1062no—
604Q8—4244no—
605Q8—2121no—
606Q8—2121no—
607D4—1062no—
608D4—1062no—
609D4—4244no—
610D4—2121no—
611D4—2121no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—1062no—
627C2×C4—1062no—
628C2×C4—1062no—
629C2×C4—4244no—
630C2×C4—2121no—
631C2×C4—2121no—
632C2×C4—2121no—
633C2×C4—2121no—
634C2×C4—2121no—
635C2×C4—2121no—
636C2×C4—2121no—
637C2×C4—2121no—
638C2×C4—2121no—
639C2×C4—2121no—
640C2×C4—2121no—
641C2×C4—2121no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4C2×#1171992112yes—
649C2×C4C2×#1171992112yes—
650C2×C4C2×#1171992112yes—
651C2×C4C2×#1171992112yes—
652C2×C4C2×#1171992112yes—
653C2×C4C22×C4×D5311yescharacteristic
654C2×C4C22×C22⋊D5311yescharacteristic
655C2×C4C2×#1171994511yescharacteristic
656C2×C4C2×#1171994511yescharacteristic
657C2×C4C2×#1171994511yescharacteristic
658C2×C4C2×#1171994511yescharacteristic
659C8—22no—
660C8—22no—
661C8—22no—
662C8—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—4241no—
671C22—4241no—
672C22—4241no—
673C22—4241no—
674C22—2122no—
675C22—2122no—
676C22—2122no—
677C22C22×#1171992111yescharacteristic
678C22#1681117311yescharacteristic
679C22#1681117311yescharacteristic
680C22#1681142811yescharacteristic
681C22#1681143511yescharacteristic
682C22#1681143511yescharacteristic
683C22#1681144011yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—22no—
689C4—4241no—
690C4—4241no—
691C4—4241no—
692C4—4241no—
693C4—2122no—
694C4—2122no—
695C4—2122no—
696C4C4×#1171994511yescharacteristic
697C4C4×#1171994511yescharacteristic
698C4#1681113411yescharacteristic
699C4#1681113411yescharacteristic
700C2—42no—
701C2—4242no—
702C2#2027720511yescharacteristic
703C2#2028324211yescharacteristic
704C2#2028324911yescharacteristic
705C2#2028533211yescharacteristic
706C2#2028535411yescharacteristic
707C2#2028538311yescharacteristic
708C2#2028539811yescharacteristic
subgroupG/H
centerC23C22×D212
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC2×C53×#405C2
socleC23×C53C22×D4
prime radicalC2×#13133191C22
cosocleC22×C4×C53C24
hypercenterC2×#405D53
hypocenterC53#21412
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#405

Complements

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

NH ≅ G/Ntype
2. #20277324C2semidirect
3. #20275688C2semidirect
4. #20275676C2semidirect
5. #20275531C2semidirect
6. #20275526C2semidirect
8. #20275148C2semidirect
10. #20275138C2semidirect
11. #20274546C2semidirect
12. #20274541C2semidirect
13. C4×#13133142C2semidirect
14. C4×#13133139C2semidirect
15. C2×C53×#405C2semidirect
17. #16811244C4semidirect
347. C2×#405D53semidirect
416. C53#21412semidirect

Maximal subgroups

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

subgroupindex
C2×#168112442
#202773242
#202756882
#202756762
#202755312
#202755262
#202751532
#202751482
#202751432
#202751382
#202745462
#202745412
C4×#131331422
C4×#131331392
C2×C53×#4052
#2141253