Finite Group Databasebeta

← #27429548

Subgroups — #27429548

Order 13568.

898 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810952C211yesmaximal, characteristic, complemented
2#20279634C211yesmaximal, characteristic
3C4⋊C4×C22⋊D53C211yesmaximal, characteristic
4#20276149C211yesmaximal, characteristic, complemented
5#20276148C211yesmaximal, characteristic, complemented
6#20275909C211yesmaximal, characteristic, complemented
7#20275908C211yesmaximal, characteristic, complemented
8#20275507C211yesmaximal, characteristic
9#20275475C211yesmaximal, characteristic, complemented
10#20274908C211yesmaximal, characteristic, complemented
11#20274906C211yesmaximal, characteristic, complemented
12#20274870C211yesmaximal, characteristic, complemented
13#20274718C211yesmaximal, characteristic, complemented
14#103×Dic53C211yesmaximal, characteristic, complemented
15C2×C53×#483C211yesmaximal, characteristic, complemented
16C2×#13133193C2211yescharacteristic
17C2×Q8×Dic53C2211yescharacteristic
18C2×C4×C22⋊D53—21no—
19C2×C4×C22⋊D53C2211yescharacteristic
20C2×C4⋊C4×D53C2211yescharacteristic
21#16810952—24no—
22C2×#13133149C2211yescharacteristic
23C2×#13133148C2211yescharacteristic
24C2×#13133148C2211yescharacteristic
25C2×#13133148C2211yescharacteristic
26C2×#13133146C2211yescharacteristic
27C2×#13133141C2211yescharacteristic
28C2×#13133141C2211yescharacteristic
29C2×C22⋊#88322C2211yescharacteristic
30C2×#13133129C2211yescharacteristic
31C2×#13133129C2211yescharacteristic
32C2×C8×Dic53C2211yescharacteristic
33#16810546—21no—
34#16810545—21no—
35#16810523—21no—
36#16810518—21no—
37#16810518—21no—
38#16810496—21no—
39#16810494—21no—
40#16810492C2211yescharacteristic
41#16810492C2211yescharacteristic
42#16810483C2211yescharacteristic
43#16810483C2211yescharacteristic
44#16810480C2211yescharacteristic
45#16810480C2211yescharacteristic
46C4⋊C4×Dic53C2211yescharacteristic
47#16810386C2211yescharacteristic
48#16810386C2211yescharacteristic
49#16810386C2211yescharacteristic
50#16810385C2211yescharacteristic
51#16810385C2211yescharacteristic
52#16810385C2211yescharacteristic
53C2×C22⋊Q8×C53C2211yescharacteristic
54C22×C4⋊C4×C53C2211yescharacteristic
55C53×#483—24no—
56C2×#106×C53C2211yescharacteristic
57C2×#106×C53C2211yescharacteristic
58C2×#103×C53C2211yescharacteristic
59C2×#103×C53C2211yescharacteristic
60C2×C22⋊C8×C53C2211yescharacteristic
61C22×C22⋊D53D411yescharacteristic
62C22×C4×D53—21no—
63C22×C4×D53C2311yescharacteristic
64C22×#88322C2311yescharacteristic
65C22×#88322C2311yescharacteristic
66#13133193—22no—
67#13133193—41no—
68Q8×Dic53—22no—
69Q8×Dic53—22no—
70C4×C22⋊D53—22no—
71C4×C22⋊D53—22no—
72C4×C22⋊D53—44no—
73C2×C4⋊Dic53—21no—
74C2×C4⋊Dic53C2311yescharacteristic
75C2×C4⋊Dic53C2311yescharacteristic
76C2×C4⋊Dic53C2311yescharacteristic
77C2×C4⋊Dic53C2311yescharacteristic
78C2×#11719919—21no—
79C2×#11719919—21no—
80C2×#11719919—21no—
81C2×#11719919—21no—
82C2×#11719919—21no—
83C2×#11719919—21no—
84C2×#11719919D411yescharacteristic
85C4⋊C4×D53—22no—
86C4⋊C4×D53—41no—
87C2×C22⋊Dic53—21no—
88C2×C22⋊Dic53—21no—
89C2×C22⋊Dic53D411yescharacteristic
90C2×#11719921—21no—
91C2×#11719921—21no—
92C2×#11719921—21no—
93C2×#11719921D411yescharacteristic
94C2×C4×Dic53—21no—
95C2×C4×Dic53—21no—
96C2×C4×Dic53C2311yescharacteristic
97#13133149—22no—
98#13133148—22no—
99#13133148—41no—
100#13133148—41no—
101#13133146—22no—
102#13133141—22no—
103#13133141—22no—
104C22⋊#88322—22no—
105#13133129—22no—
106#13133129—22no—
107C8×Dic53—22no—
108#13133124—21no—
109#13133124—21no—
110#13133124—21no—
111#13133124—21no—
112#13133124—21no—
113C22×Q8×C53C2311yescharacteristic
114C23×C4×C53—21no—
115C23×C4×C53C2311yescharacteristic
116C22×C8×C53C2311yescharacteristic
117C22×C8×C53C2311yescharacteristic
118C22⋊Q8×C53—22no—
119C22⋊Q8×C53—41no—
120C2×C4⋊C4×C53—21no—
121C2×C4⋊C4×C53—21no—
122C2×C4⋊C4×C53—22no—
123C2×C4⋊C4×C53—41no—
124C2×C4⋊C4×C53C2311yescharacteristic
125C2×C4⋊C4×C53C2311yescharacteristic
126C2×C4⋊C4×C53C2311yescharacteristic
127C2×C22⋊C4×C53—21no—
128#106×C53—22no—
129#106×C53—22no—
130#103×C53—22no—
131#103×C53D414yescomplemented
132C22⋊C8×C53—22no—
133C24×C53C2×D411yescharacteristic
134C23×D53C2×D411yescharacteristic
135C2×Q8×C53—21no—
136C2×Q8×C53—21no—
137C2×Q8×C53—21no—
138C2×Q8×C53—21no—
139C2×Q8×C53—21no—
140C2×Q8×C53C2×D412yes—
141C22×C4×C53—21no—
142C22×C4×C53—21no—
143C22×C4×C53—21no—
144C22×C4×C53—21no—
145C22×C4×C53—21no—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—21no—
149C22×C4×C53—21no—
150C22×C4×C53—21no—
151C22×C4×C53—42no—
152C22×C4×C53—42no—
153C22×C4×C53—81no—
154C22×C4×C53C2×D411yescharacteristic
155C22×C4×C53C2411yescharacteristic
156C2×C22⋊D53—22no—
157C2×C22⋊D53—22no—
158C2×C22⋊D53SD1614yes—
159C22×Dic53—21no—
160C22×Dic53—21no—
161C22×Dic53—21no—
162C22×Dic53—21no—
163C22×Dic53C2×D411yescharacteristic
164C22×Dic53C2×D411yescharacteristic
165C22×Dic53C2×D411yescharacteristic
166C2×C4×D53—21no—
167C2×C4×D53—21no—
168C2×C4×D53—21no—
169C2×C4×D53—21no—
170C2×C4×D53—21no—
171C2×C4×D53—21no—
172C2×C4×D53—42no—
173C2×C4×D53—42no—
174C2×C4×D53—81no—
175C2×C8×C53—21no—
176C2×C8×C53—21no—
177C2×C8×C53—21no—
178C2×C8×C53—21no—
179C2×C8×C53—21no—
180C2×C8×C53C2×D412yes—
181C4⋊C4×C53—21no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—42no—
187C4⋊C4×C53—42no—
188C4⋊C4×C53C2×D412yes—
189C22⋊C4×C53—42no—
190C22⋊Dic53—22no—
191C22⋊Dic53—42no—
192C22⋊Dic53—81no—
193#11719921—22no—
194#11719921—42no—
195#11719921—42no—
196#11719921—81no—
197C4⋊Dic53—21no—
198C4⋊Dic53—21no—
199C4⋊Dic53—21no—
200C4⋊Dic53—21no—
201C4⋊Dic53—21no—
202C4⋊Dic53—21no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53—42no—
206#11719919—22no—
207#11719919—42no—
208#11719919—42no—
209#11719919—42no—
210#11719919—42no—
211#11719919—81no—
212#11719919—81no—
213C4×Dic53—42no—
214C4×Dic53—42no—
215C4×Dic53#4112yes—
216C4×Dic53#4112yes—
217C2×#88322—21no—
218C2×#88322—21no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322—21no—
222C2×#88322#4112yes—
223C23×C53—21no—
224C23×C53—21no—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53C2×SD1612yes—
230C23×C53C22×D411yescharacteristic
231C22×D53—21no—
232C22×D53—21no—
233C22×D53—21no—
234C22×D53—21no—
235C22×D53—21no—
236C22×D53—21no—
237C22×D53C2×SD1612yes—
238Q8×C53—22no—
239Q8×C53—22no—
240Q8×C53—41no—
241Q8×C53—41no—
242C2×C4×C53—21no—
243C2×C4×C53—22no—
244C2×C4×C53—21no—
245C2×C4×C53—22no—
246C2×C4×C53—21no—
247C2×C4×C53—41no—
248C2×C4×C53—41no—
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—41no—
256C2×C4×C53—41no—
257C2×C4×C53—41no—
258C2×C4×C53—41no—
259C2×C4×C53—41no—
260C2×C4×C53—41no—
261C2×C4×C53—84no—
262C2×C4×C53C22×D411yescharacteristic
263C2×C4×C53C2×#4111yescharacteristic
264C2×C4×C53C2×#4111yescharacteristic
265C2×C4×C53C2×#4111yescharacteristic
266C2×C4×C53H(5,𝔽2)11yescharacteristic
267C2×C4×C532−1+411yescharacteristic
268C22⋊D53—28no—
269C2×Dic53—21no—
270C2×Dic53—21no—
271C2×Dic53—21no—
272C2×Dic53—21no—
273C2×Dic53—21no—
274C2×Dic53—41no—
275C2×Dic53—41no—
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#12312yes—
287C2×Dic53#12312yes—
288C2×Dic53C2×SD1612yes—
289C2×Dic53#13712yes—
290C4×D53—41no—
291C4×D53—41no—
292C4×D53—41no—
293C4×D53—41no—
294C4×D53—84no—
295C8×C53—22no—
296C8×C53—41no—
297#88322—22no—
298#88322—41no—
299#25014—531nomaximal, Sylow
300C22×C53—22no—
301C22×C53—22no—
302C22×C53—22no—
303C22×C53—41no—
304C22×C53—41no—
305C22×C53—41no—
306C22×C53—41no—
307C22×C53C2×#12311yescharacteristic
308C22×C53D4211yescharacteristic
309C22×C53#54711yescharacteristic
310C22×C53C22×SD1611yescharacteristic
311C22×C53C2×#13711yescharacteristic
312C22×C53#57711yescharacteristic
313C22×C53#57711yescharacteristic
314C2×D53—22no—
315C2×D53—22no—
316C2×D53—22no—
317C2×D53—41no—
318C2×D53—41no—
319C2×D53—41no—
320C2×D53—41no—
321C4×C53—41no—
322C4×C53—42no—
323C4×C53—42no—
324C4×C53—81no—
325C4×C53—81no—
326C4×C53#53211yescharacteristic
327C4×C53#54211yescharacteristic
328C4×C53#54711yescharacteristic
329C4×C53#55311yescharacteristic
330Dic53—22no—
331Dic53—41no—
332Dic53—81no—
333Dic53—81no—
334Dic53—81no—
335Dic53—81no—
336Dic53#48314yescomplemented
337C2×#483—531no—
338C2×#483D5311yescharacteristic, complemented
339#2538—531no—
340D4×C4⋊C4—531no—
341#2077—531no—
342#2077—531no—
343#2035—531no—
344#2035—531no—
345#1954—531no—
346#1948—531no—
347#1853—531no—
348#1853—531no—
349#1844—531no—
350#1803—531no—
351C4×#103—531no—
352C2×C53—42no—
353C2×C53#242211yescharacteristic
354C2×C53C2×#48311yescharacteristic
355C2×C53#309911yescharacteristic
356C2×C53#327811yescharacteristic
357C2×C53D4×SD1611yescharacteristic
358C2×C53#333511yescharacteristic
359C2×C53#335611yescharacteristic
360D53—42no—
361C2×C22⋊Q8—531no—
362C2×C22⋊Q8C2×D5311yescharacteristic
363C2×C4×Q8—531no—
364C2×C4×D4—531no—
365C2×C4×D4—1061no—
366C22×C4⋊C4—531no—
367C22×C4⋊C4C2×D5311yescharacteristic
368#483—24no—
369#483—1064no—
370C2×#106—531no—
371C2×#106—531no—
372C2×#106—531no—
373C2×#106—531no—
374C2×#106C2×D5311yescharacteristic
375C2×#106C2×D5311yescharacteristic
376C2×C4⋊C8—531no—
377C2×#103—531no—
378C2×#103—531no—
379C2×#103C2×D5311yescharacteristic
380C2×#103C2×D5311yescharacteristic
381C2×C22⋊C8—531no—
382C2×C22⋊C8—531no—
383C2×C22⋊C8—531no—
384C2×C22⋊C8C2×D5311yescharacteristic
385C2×C4×C8—531no—
386#396—1061no—
387#396—1061no—
388#390—1061no—
389#389—1061no—
390#389—1061no—
391#385—1061no—
392#385—1061no—
393#384—531no—
394#384—531no—
395#380—531no—
396#380—531no—
397#380—531no—
398#380—531no—
399C4×C4⋊C4—531no—
400#340—531no—
401#340—531no—
402#340—531no—
403#340—531no—
404#340—531no—
405#340—531no—
406C53#2501411yescharacteristic, complemented, Sylow
407C22×Q8C22×D5311yescharacteristic
408C22×D4—531no—
409C23×C4—21no—
410C23×C4—531no—
411C23×C4—1061no—
412C23×C4C22×D5311yescharacteristic
413C22×C8—531no—
414C22×C8—531no—
415C22×C8C22×D5311yescharacteristic
416C22×C8C22×D5311yescharacteristic
417C22⋊Q8—22no—
418C22⋊Q8—41no—
419C22⋊Q8—1062no—
420C22⋊Q8—2121no—
421C4×Q8—1062no—
422C4×Q8—1062no—
423C4×D4—1062no—
424C4×D4—1062no—
425C4×D4—2124no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—41no—
430C2×C4⋊C4—531no—
431C2×C4⋊C4—531no—
432C2×C4⋊C4—531no—
433C2×C4⋊C4—531no—
434C2×C4⋊C4—531no—
435C2×C4⋊C4—1062no—
436C2×C4⋊C4—1061no—
437C2×C4⋊C4—1061no—
438C2×C4⋊C4—1061no—
439C2×C4⋊C4—1061no—
440C2×C4⋊C4—1061no—
441C2×C4⋊C4—1061no—
442C2×C4⋊C4—1061no—
443C2×C4⋊C4—2121no—
444C2×C4⋊C4C22×D5311yescharacteristic
445C2×C4⋊C4C22×D5311yescharacteristic
446C2×C4⋊C4C22×D5311yescharacteristic
447C2×C22⋊C4—21no—
448C2×C22⋊C4—531no—
449C2×C22⋊C4—531no—
450C2×C22⋊C4—1061no—
451C2×C22⋊C4—1061no—
452C2×C22⋊C4—1061no—
453C2×C22⋊C4—1061no—
454C2×C22⋊C4—1061no—
455C2×C42—531no—
456C2×C42—1061no—
457C2×C42—1061no—
458#106—22no—
459#106—22no—
460#106—1062no—
461#106—1062no—
462#106—2121no—
463#106—2121no—
464C4⋊C8—1062no—
465#103—22no—
466#103—1062no—
467#103—1062no—
468#103C22⋊D5314yescomplemented
469C22⋊C8—22no—
470C22⋊C8—1062no—
471C22⋊C8—1062no—
472C22⋊C8—1062no—
473C4×C8—1062no—
474#95—1061no—
475#95—1061no—
476#95—1061no—
477#95—1061no—
478#95—1061no—
479C24—531no—
480C24D4×D5311yescharacteristic
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8C2×C22⋊D5312yes—
487C2×D4—534no—
488C2×D4—1062no—
489C2×D4—1062no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—81no—
503C22×C4—531no—
504C22×C4—531no—
505C22×C4—531no—
506C22×C4—1061no—
507C22×C4—1061no—
508C22×C4—1061no—
509C22×C4—1061no—
510C22×C4—1061no—
511C22×C4—1061no—
512C22×C4—1061no—
513C22×C4—1061no—
514C22×C4—1061no—
515C22×C4—1061no—
516C22×C4—4241no—
517C22×C4—2122no—
518C22×C4—2122no—
519C22×C4D4×D5311yescharacteristic
520C22×C4C23×D5311yescharacteristic
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—532no—
527C2×C8—1061no—
528C2×C8—1061no—
529C2×C8—1061no—
530C2×C8—1061no—
531C2×C8—1061no—
532C2×C8C2×C22⋊D5312yes—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—1062no—
541C4⋊C4—1061no—
542C4⋊C4—1061no—
543C4⋊C4—1061no—
544C4⋊C4—1061no—
545C4⋊C4—1061no—
546C4⋊C4—1061no—
547C4⋊C4—1061no—
548C4⋊C4—1061no—
549C4⋊C4—4241no—
550C4⋊C4—4241no—
551C4⋊C4—2122no—
552C4⋊C4—2122no—
553C4⋊C4—2122no—
554C4⋊C4—2122no—
555C4⋊C4—2122no—
556C4⋊C4C2×C22⋊D5312yes—
557C22⋊C4—42no—
558C22⋊C4—1062no—
559C22⋊C4—1062no—
560C22⋊C4—4241no—
561C22⋊C4—4241no—
562C22⋊C4—2122no—
563C22⋊C4—2122no—
564C22⋊C4—2122no—
565C42—532no—
566C42—532no—
567C42—2122no—
568C42—2122no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—532no—
576C23—1061no—
577C23—1061no—
578C23—1061no—
579C23—1061no—
580C23—1061no—
581C23—1061no—
582C23SD16×D5312yes—
583C23C2×D4×D5311yescharacteristic
584Q8—22no—
585Q8—22no—
586Q8—41no—
587Q8—41no—
588D4—1068no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—84no—
609C2×C4—532no—
610C2×C4—532no—
611C2×C4—532no—
612C2×C4—532no—
613C2×C4—1061no—
614C2×C4—1061no—
615C2×C4—1061no—
616C2×C4—1061no—
617C2×C4—1061no—
618C2×C4—4244no—
619C2×C4—2121no—
620C2×C4—2121no—
621C2×C4—2121no—
622C2×C4—2121no—
623C2×C4—2121no—
624C2×C4—2121no—
625C2×C4—2121no—
626C2×C4—2121no—
627C2×C4—2121no—
628C2×C4—2121no—
629C2×C4—2121no—
630C2×C4—2121no—
631C2×C4—2121no—
632C2×C4—2121no—
633C2×C4—2121no—
634C2×C4—2121no—
635C2×C4C22×C22⋊D5311yescharacteristic
636C2×C4#41×D5311yescharacteristic
637C2×C4#41×D5311yescharacteristic
638C2×C4#41×D5311yescharacteristic
639C2×C4#1313326211yescharacteristic
640C2×C4#1313326411yescharacteristic
641C8—22no—
642C8—41no—
643C8—1062no—
644C8—2121no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—1062no—
653C22—1062no—
654C22—1062no—
655C22—2121no—
656C22—2121no—
657C22—2121no—
658C22—2121no—
659C22#123×D5311yescharacteristic
660C22D4×C22⋊D5311yescharacteristic
661C22#1681127111yescharacteristic
662C22C2×SD16×D5311yescharacteristic
663C22#137×D5311yescharacteristic
664C22#1681142911yescharacteristic
665C22#1681143211yescharacteristic
666C4—42no—
667C4—41no—
668C4—42no—
669C4—81no—
670C4—81no—
671C4—534no—
672C4—1062no—
673C4—4241no—
674C4—4241no—
675C4—4241no—
676C4—4241no—
677C4—2121no—
678C4#1681116911yescharacteristic
679C4#1681124111yescharacteristic
680C4#1681127211yescharacteristic
681C4#1681131811yescharacteristic
682C2—42no—
683C2—2122no—
684C2#2027822611yescharacteristic
685C2#483×D5311yescharacteristic
686C2#2028469911yescharacteristic
687C2#2028637511yescharacteristic
688C2SD16×C22⋊D5311yescharacteristic
689C2#2028706511yescharacteristic
690C2#2028732311yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC2×C53×#483C2
socleC23×C53C22×D4
prime radicalC22×C22⋊D53D4
hypercenterC2×#483D53
hypocenterC53#25014
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#483

Complements

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

NH ≅ G/Ntype
1. C2×#16810952C2semidirect
4. #20276149C2semidirect
5. #20276148C2semidirect
6. #20275909C2semidirect
7. #20275908C2semidirect
9. #20275475C2semidirect
10. #20274908C2semidirect
11. #20274906C2semidirect
12. #20274870C2semidirect
13. #20274718C2semidirect
14. #103×Dic53C2semidirect
15. C2×C53×#483C2semidirect
131. #103×C53D4semidirect
336. Dic53#483semidirect
338. C2×#483D53semidirect
406. C53#25014semidirect
468. #103C22⋊D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168109522
#202796342
C4⋊C4×C22⋊D532
#202761492
#202761482
#202759092
#202759082
#202755072
#202754752
#202749082
#202749062
#202748702
#202747182
#103×Dic532
C2×C53×#4832
#2501453