Finite Group Databasebeta

← SD16×#11719919 #27402489

Subgroups — SD16×#11719919 #27402489

Order 13568.

1030 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×SD16×Dic53C211yesmaximal, characteristic
2C2×SD16×Dic53C211yesmaximal, characteristic
3Q8×#11719919C211yesmaximal, characteristic, complemented
4D4×#11719919C211yesmaximal, characteristic
5#20275443C211yesmaximal, characteristic, complemented
6#20275441C211yesmaximal, characteristic, complemented
7#20274983C211yesmaximal, characteristic, complemented
8#20274981C211yesmaximal, characteristic, complemented
9#20274976C211yesmaximal, characteristic
10#20274974C211yesmaximal, characteristic
11#20274870C211yesmaximal, characteristic, complemented
12#20274718C211yesmaximal, characteristic, complemented
13#20274713C211yesmaximal, characteristic
14C8×#11719919C211yesmaximal, characteristic, complemented
15C2×C4×SD16×C53C211yesmaximal, characteristic
16C2×Q8×Dic53C2211yescharacteristic
17C2×Q8×Dic53C2211yescharacteristic
18C2×D4×Dic53C2211yescharacteristic
19C2×D4×Dic53C2211yescharacteristic
20C22×#11719919—21no—
21SD16×Dic53—24no—
22SD16×Dic53C418yescomplemented
23C2×#13133149C2211yescharacteristic
24C2×#13133149C2211yescharacteristic
25C2×#13133148C2211yescharacteristic
26C2×#13133148C2211yescharacteristic
27C2×#13133146C2211yescharacteristic
28C2×#13133141C2211yescharacteristic
29C2×#13133141C2211yescharacteristic
30C2×#13133138C2211yescharacteristic
31C2×#13133138C2211yescharacteristic
32C2×C8×Dic53C2211yescharacteristic
33C2×C8×Dic53C2211yescharacteristic
34#16810521—21no—
35#16810521C2211yescharacteristic
36#16810521C2211yescharacteristic
37#16810519—21no—
38#16810519C2211yescharacteristic
39#16810519C2211yescharacteristic
40#16810496—21no—
41#16810495—21no—
42#16810492—21no—
43#16810492C2211yescharacteristic
44#16810492C2211yescharacteristic
45#16810481—21no—
46C4×#11719919—21no—
47C4×#11719919C2211yescharacteristic
48#16810386C2211yescharacteristic
49#16810386C2211yescharacteristic
50#16810385C2211yescharacteristic
51#16810385C2211yescharacteristic
52#16810378C2211yescharacteristic
53#16810377C2211yescharacteristic
54C22×SD16×C53C2211yescharacteristic
55C2×C4×Q8×C53C2211yescharacteristic
56C2×C4×D4×C53C2211yescharacteristic
57C4×SD16×C53—24no—
58C2×#106×C53C2211yescharacteristic
59C2×#103×C53C2211yescharacteristic
60C2×#102×C53C2211yescharacteristic
61C2×C4×C8×C53C2211yescharacteristic
62C23×Dic53—21no—
63C23×Dic53—21no—
64C22×#88322C2311yescharacteristic
65C22×#88322C2311yescharacteristic
66Q8×Dic53—22no—
67Q8×Dic53—22no—
68Q8×Dic53—41no—
69Q8×Dic53C2×C414yescomplemented
70D4×Dic53—22no—
71D4×Dic53—22no—
72D4×Dic53—41no—
73D4×Dic53C2×C414yes—
74C2×C4⋊Dic53—21no—
75C2×C4⋊Dic53—21no—
76C2×C4⋊Dic53C2311yescharacteristic
77C2×C4⋊Dic53C2311yescharacteristic
78C2×C4⋊Dic53C2311yescharacteristic
79C2×C4⋊Dic53C2311yescharacteristic
80C2×#11719919—21no—
81C2×#11719919—21no—
82C2×#11719919—21no—
83C2×#11719919—21no—
84C2×#11719919—21no—
85C2×#11719919—21no—
86C2×#11719919—21no—
87C2×#11719919—21no—
88C2×#11719919—44no—
89C2×#11719919D411yescharacteristic
90C2×#11719919D411yescharacteristic
91C2×C22⋊Dic53—21no—
92C2×C22⋊Dic53—21no—
93C2×C4×Dic53—21no—
94C2×C4×Dic53—21no—
95C2×C4×Dic53C2311yescharacteristic
96C2×C4×Dic53C2311yescharacteristic
97#13133149—22no—
98#13133149C2×C414yescomplemented
99#13133148—41no—
100#13133148—41no—
101#13133146—22no—
102#13133141—22no—
103#13133141C2×C414yescomplemented
104#13133138—22no—
105#13133138C2×C414yes—
106C8×Dic53—22no—
107C8×Dic53C2×C414yescomplemented
108#13133124—21no—
109#13133124—21no—
110#13133124—21no—
111#13133124—21no—
112#13133124D411yescharacteristic
113#13133124D411yescharacteristic
114C22×Q8×C53C2311yescharacteristic
115C22×D4×C53C2311yescharacteristic
116C23×C4×C53—21no—
117C2×SD16×C53C2×C414yes—
118C2×SD16×C53D414yes—
119C2×SD16×C53Q814yes—
120C22×C8×C53C2311yescharacteristic
121C22×C8×C53C2311yescharacteristic
122C4×Q8×C53—22no—
123C4×Q8×C53—41no—
124C4×D4×C53—22no—
125C4×D4×C53—41no—
126C2×C4⋊C4×C53—21no—
127C2×C4⋊C4×C53C2311yescharacteristic
128C2×C4⋊C4×C53C2311yescharacteristic
129C2×C22⋊C4×C53—21no—
130C2×C42×C53—21no—
131C2×C42×C53C2311yescharacteristic
132#106×C53—22no—
133#103×C53—22no—
134#102×C53—22no—
135C4×C8×C53—22no—
136C24×C53—21no—
137C2×Q8×C53—21no—
138C2×Q8×C53—21no—
139C2×Q8×C53—21no—
140C2×Q8×C53C22×C412yes—
141C2×Q8×C53C2×D412yes—
142C2×Q8×C53C2×Q812yes—
143C2×D4×C53—21no—
144C2×D4×C53—21no—
145C2×D4×C53—21no—
146C2×D4×C53C22×C412yes—
147C2×D4×C53C2×D412yes—
148C2×D4×C53C2×Q812yes—
149C22×C4×C53—21no—
150C22×C4×C53—21no—
151C22×C4×C53—21no—
152C22×C4×C53—42no—
153C22×C4×C53—42no—
154C22×C4×C53—81no—
155C22×C4×C53C2×D411yescharacteristic
156C22×C4×C53C2×D411yescharacteristic
157C22×C4×C53C2411yescharacteristic
158C22×Dic53—21no—
159C22×Dic53—21no—
160C22×Dic53—24no—
161C22×Dic53—21no—
162C22×Dic53—21no—
163C22×Dic53—42no—
164C22×Dic53—42no—
165C22×Dic53—42no—
166C22×Dic53—42no—
167C22×Dic53—81no—
168C22×Dic53C2×D411yescharacteristic
169C22×Dic53C2×D411yescharacteristic
170C22×Dic53C2×D411yescharacteristic
171C22×Dic53C2×D411yescharacteristic
172SD16×C53C4⋊C4116yescomplemented
173C2×C8×C53—21no—
174C2×C8×C53—21no—
175C2×C8×C53—21no—
176C2×C8×C53C22×C412yes—
177C2×C8×C53C2×D412yes—
178C2×C8×C53C2×Q812yes—
179C4⋊C4×C53—21no—
180C4⋊C4×C53—21no—
181C4⋊C4×C53—21no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—42no—
184C22⋊C4×C53—42no—
185C42×C53—21no—
186C42×C53—21no—
187C42×C53—42no—
188C22⋊Dic53—24no—
189C22⋊Dic53—42no—
190C4⋊Dic53—21no—
191C4⋊Dic53—21no—
192C4⋊Dic53—24no—
193C4⋊Dic53—21no—
194C4⋊Dic53—21no—
195C4⋊Dic53—21no—
196C4⋊Dic53—21no—
197C4⋊Dic53—42no—
198C4⋊Dic53C22×C412yes—
199C4⋊Dic53C22×C412yes—
200#11719919—22no—
201#11719919—42no—
202#11719919—42no—
203#11719919—42no—
204#11719919—42no—
205#11719919—81no—
206#11719919—81no—
207#11719919—81no—
208#11719919—81no—
209#11719919SD1614yesdirect product factor
210C4×Dic53—21no—
211C4×Dic53—21no—
212C4×Dic53—24no—
213C4×Dic53—42no—
214C4×Dic53C22×C412yes—
215C4×Dic53#4112yes—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322—21no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322C22×C412yes—
222C23×C53—22no—
223C23×C53—22no—
224C23×C53—22no—
225C23×C53—41no—
226C23×C53—41no—
227C23×C53—41no—
228C23×C53—41no—
229C23×C53C22×D411yescharacteristic
230Q8×C53—22no—
231Q8×C53—22no—
232Q8×C53—22no—
233Q8×C53C2×C4⋊C414yescomplemented
234D4×C53—22no—
235D4×C53—22no—
236D4×C53—22no—
237D4×C53C2×C4⋊C414yes—
238C2×C4×C53—22no—
239C2×C4×C53—22no—
240C2×C4×C53—21no—
241C2×C4×C53—22no—
242C2×C4×C53—21no—
243C2×C4×C53—21no—
244C2×C4×C53—21no—
245C2×C4×C53—21no—
246C2×C4×C53—41no—
247C2×C4×C53—41no—
248C2×C4×C53—41no—
249C2×C4×C53—41no—
250C2×C4×C53—41no—
251C2×C4×C53—41no—
252C2×C4×C53—84no—
253C2×C4×C53C2×SD1612yes—
254C2×C4×C53C23×C411yescharacteristic
255C2×C4×C53C22×D411yescharacteristic
256C2×C4×C53C22×Q811yescharacteristic
257C2×C4×C53C2×#4111yescharacteristic
258C2×C4×C53H(5,𝔽2)11yescharacteristic
259C2×C4×C532−1+411yescharacteristic
260C2×Dic53—21no—
261C2×Dic53—21no—
262C2×Dic53—21no—
263C2×Dic53—21no—
264C2×Dic53—22no—
265C2×Dic53—22no—
266C2×Dic53—21no—
267C2×Dic53—21no—
268C2×Dic53—21no—
269C2×Dic53—41no—
270C2×Dic53—41no—
271C2×Dic53—41no—
272C2×Dic53—41no—
273C2×Dic53—48no—
274C2×Dic53—41no—
275C2×Dic53—41no—
276C2×Dic53—41no—
277C2×Dic53—41no—
278C2×Dic53—41no—
279C2×Dic53—41no—
280C2×Dic53—84no—
281C2×Dic53C4×D412yes—
282C2×Dic53C4×D412yes—
283C2×Dic53C2×SD1612yes—
284C2×Dic53C2×SD1612yes—
285C2×Dic53#13512yes—
286C8×C53—41no—
287C8×C53C2×C4⋊C414yescomplemented
288#88322—22no—
289#88322—41no—
290C4⋊C4×SD16—531nomaximal, Sylow
291C22×C53—24no—
292C22×C53—42no—
293C22×C53—42no—
294C22×C53—42no—
295C22×C53—42no—
296C22×C53—42no—
297C22×C53—42no—
298C22×C53C2×C4×D411yescharacteristic
299C22×C53D4211yescharacteristic
300C22×C53D4×Q811yescharacteristic
301C22×C53C22×SD1611yescharacteristic
302C22×C53C2×#13511yescharacteristic
303C22×C53#57711yescharacteristic
304C22×C53#57711yescharacteristic
305C4×C53—24no—
306C4×C53—22no—
307C4×C53—41no—
308C4×C53—81no—
309C4×C53—81no—
310C4×C53C22×C4⋊C411yescharacteristic
311C4×C53#52011yescharacteristic
312C4×C53#54711yescharacteristic
313C4×C53#55411yescharacteristic
314Dic53—22no—
315Dic53—22no—
316Dic53—42no—
317Dic53—42no—
318Dic53—41no—
319Dic53—81no—
320Dic53—81no—
321Dic53C4×SD1614yescomplemented
322C2×C4×SD16—531no—
323C2×C4×SD16—531no—
324C2×C4×SD16D5311yescharacteristic
325Q8×C4⋊C4—531no—
326D4×C4⋊C4—531no—
327#1941—531no—
328#1941—531no—
329#1865—531no—
330#1865—531no—
331#1864—531no—
332#1864—531no—
333#1844—531no—
334#1803—531no—
335#1802—531no—
336C8×C4⋊C4—531no—
337C2×C53—44no—
338C2×C53D4×C4⋊C411yescharacteristic
339C2×C53C2×C4×SD1611yescharacteristic
340C2×C53#295211yescharacteristic
341C2×C53D4×SD1611yescharacteristic
342C2×C53#328411yescharacteristic
343C2×C53Q8×SD1611yescharacteristic
344C2×C53#338111yescharacteristic
345C22×SD16C2×D5311yescharacteristic
346C2×C4×Q8—531no—
347C2×C4×Q8—531no—
348C2×C4×Q8C2×D5311yescharacteristic
349C2×C4×D4—531no—
350C2×C4×D4—531no—
351C2×C4×D4C2×D5311yescharacteristic
352C22×C4⋊C4—1061no—
353C4×SD16—24no—
354C4×SD16—538no—
355C4×SD16—1064no—
356C2×#106—531no—
357C2×#106—531no—
358C2×#106—531no—
359C2×#106—531no—
360C2×#106C2×D5311yescharacteristic
361C2×C4⋊C8—531no—
362C2×#103—531no—
363C2×#103—531no—
364C2×#103C2×D5311yescharacteristic
365C2×#102—531no—
366C2×#102—531no—
367C2×#102C2×D5311yescharacteristic
368C2×C4×C8—531no—
369C2×C4×C8—531no—
370C2×C4×C8C2×D5311yescharacteristic
371#389—531no—
372#389—531no—
373#389—531no—
374#389—531no—
375#389—1061no—
376#389—1061no—
377#385—1061no—
378#385—1061no—
379#384—531no—
380#384—531no—
381#384—1061no—
382#380—1061no—
383C4×C4⋊C4—531no—
384C4×C4⋊C4—1061no—
385#340—531no—
386#340—531no—
387#340—531no—
388#340—531no—
389#336—531no—
390#336—531no—
391C53C4⋊C4×SD1611yescharacteristic, complemented, Sylow
392C22×Q8C22×D5311yescharacteristic
393C22×D4C22×D5311yescharacteristic
394C23×C4—21no—
395C23×C4—1061no—
396C23×C4—1061no—
397C2×SD16Dic10614yes—
398C2×SD16C4×D5314yes—
399C2×SD16C22⋊D5314yes—
400C22×C8—531no—
401C22×C8—531no—
402C22×C8C22×D5311yescharacteristic
403C22×C8C22×D5311yescharacteristic
404C4×Q8—22no—
405C4×Q8—41no—
406C4×Q8—534no—
407C4×Q8—1062no—
408C4×Q8—1062no—
409C4×Q8—2121no—
410C4×D4—22no—
411C4×D4—41no—
412C4×D4—534no—
413C4×D4—1062no—
414C4×D4—1062no—
415C4×D4—2121no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—531no—
418C2×C4⋊C4—531no—
419C2×C4⋊C4—531no—
420C2×C4⋊C4—531no—
421C2×C4⋊C4—531no—
422C2×C4⋊C4—531no—
423C2×C4⋊C4—1061no—
424C2×C4⋊C4—1061no—
425C2×C4⋊C4—1061no—
426C2×C4⋊C4—1061no—
427C2×C4⋊C4—1061no—
428C2×C4⋊C4—1061no—
429C2×C4⋊C4—1061no—
430C2×C4⋊C4—1061no—
431C2×C4⋊C4—1061no—
432C2×C4⋊C4—1061no—
433C2×C4⋊C4—2124no—
434C2×C4⋊C4C22×D5311yescharacteristic
435C2×C4⋊C4C22×D5311yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—1061no—
438C2×C22⋊C4—1061no—
439C2×C42—21no—
440C2×C42—531no—
441C2×C42—531no—
442C2×C42—1061no—
443C2×C42—1061no—
444C2×C42C22×D5311yescharacteristic
445#106—22no—
446#106—534no—
447#106—1062no—
448#106—2121no—
449#106—2121no—
450C4⋊C8—1062no—
451#103—22no—
452#103—534no—
453#103—1062no—
454#102—22no—
455#102—534no—
456#102—1062no—
457C4×C8—22no—
458C4×C8—534no—
459C4×C8—1062no—
460#95—531no—
461#95—531no—
462#95—1061no—
463#95—1061no—
464#95—1061no—
465#95—1061no—
466C24—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8C2×Dic10612yes—
471C2×Q8C2×C4×D5312yes—
472C2×Q8C2×C22⋊D5312yes—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4C2×Dic10612yes—
477C2×D4C2×C4×D5312yes—
478C2×D4C2×C22⋊D5312yes—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—81no—
485C22×C4—531no—
486C22×C4—531no—
487C22×C4—531no—
488C22×C4—531no—
489C22×C4—1064no—
490C22×C4—1061no—
491C22×C4—1061no—
492C22×C4—1061no—
493C22×C4—1061no—
494C22×C4—4241no—
495C22×C4—2122no—
496C22×C4—2122no—
497C22×C4—2122no—
498C22×C4—2122no—
499C22×C4D4×D5311yescharacteristic
500C22×C4D4×D5311yescharacteristic
501C22×C4C23×D5311yescharacteristic
502SD16#11719919116yesdirect product factor
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—532no—
507C2×C8—1061no—
508C2×C8—1061no—
509C2×C8—1061no—
510C2×C8—1061no—
511C2×C8—1061no—
512C2×C8C2×Dic10612yes—
513C2×C8C2×C4×D5312yes—
514C2×C8C2×C22⋊D5312yes—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—42no—
520C4⋊C4—534no—
521C4⋊C4—532no—
522C4⋊C4—532no—
523C4⋊C4—1062no—
524C4⋊C4—1064no—
525C4⋊C4—1061no—
526C4⋊C4—1061no—
527C4⋊C4—1061no—
528C4⋊C4—1061no—
529C4⋊C4—1061no—
530C4⋊C4—1061no—
531C4⋊C4—4241no—
532C4⋊C4—4241no—
533C4⋊C4—4241no—
534C4⋊C4—4241no—
535C4⋊C4—2122no—
536C4⋊C4—2122no—
537C4⋊C4—2122no—
538C4⋊C4—2122no—
539C4⋊C4—2122no—
540C22⋊C4—42no—
541C22⋊C4—1064no—
542C22⋊C4—2122no—
543C42—21no—
544C42—21no—
545C42—42no—
546C42—532no—
547C42—532no—
548C42—1064no—
549C42—1061no—
550C42—1061no—
551C42—2122no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23C2×D4×D5311yescharacteristic
560Q8—22no—
561Q8—22no—
562Q8—22no—
563Q8C2×#1171991914yescomplemented
564D4—22no—
565D4—22no—
566D4—22no—
567D4C2×#1171991914yes—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—84no—
583C2×C4—532no—
584C2×C4—532no—
585C2×C4—532no—
586C2×C4—532no—
587C2×C4—532no—
588C2×C4—1061no—
589C2×C4—1061no—
590C2×C4—1061no—
591C2×C4—1061no—
592C2×C4—1062no—
593C2×C4—1062no—
594C2×C4—1061no—
595C2×C4—1061no—
596C2×C4—1061no—
597C2×C4—4244no—
598C2×C4—2128no—
599C2×C4—2121no—
600C2×C4—2121no—
601C2×C4—2121no—
602C2×C4—2121no—
603C2×C4—2121no—
604C2×C4—2121no—
605C2×C4—2121no—
606C2×C4—2121no—
607C2×C4—2121no—
608C2×C4—2121no—
609C2×C4SD16×D5312yes—
610C2×C4C22×C4×D5311yescharacteristic
611C2×C4C22×C22⋊D5311yescharacteristic
612C2×C4C22×Dic10611yescharacteristic
613C2×C4#41×D5311yescharacteristic
614C2×C4#1313326211yescharacteristic
615C2×C4#1313326411yescharacteristic
616C8—41no—
617C8—1062no—
618C8—2121no—
619C8C2×#1171991914yescomplemented
620C22—24no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22C4×D4×D5311yescharacteristic
628C22D4×C22⋊D5311yescharacteristic
629C22D4×Dic10611yescharacteristic
630C22C2×SD16×D5311yescharacteristic
631C22#135×D5311yescharacteristic
632C22#1681142911yescharacteristic
633C22#1681143011yescharacteristic
634C4—24no—
635C4—22no—
636C4—41no—
637C4—81no—
638C4—81no—
639C4—534no—
640C4—1062no—
641C4—1062no—
642C4—4241no—
643C4—4241no—
644C4—2122no—
645C4—2122no—
646C4—2121no—
647C4C22×#1171991911yescharacteristic
648C4#1681110211yescharacteristic
649C4#1681127211yescharacteristic
650C4#1681133211yescharacteristic
651C2—44no—
652C2D4×#1171991911yescharacteristic
653C2C4×SD16×D5311yescharacteristic
654C2#2028359311yescharacteristic
655C2SD16×C22⋊D5311yescharacteristic
656C2#2028643911yescharacteristic
657C2SD16×Dic10611yescharacteristic
658C2#2028759111yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC2×C4×SD16×C53C2
socleC23×C53C22×D4
prime radicalC22×D4×C53C23
cosocleC22×C4×C53C24
hypercenterC2×C4×SD16D53
hypocenterC53C4⋊C4×SD16
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
3. Q8×#11719919C2semidirect
5. #20275443C2semidirect
6. #20275441C2semidirect
7. #20274983C2semidirect
8. #20274981C2semidirect
11. #20274870C2semidirect
12. #20274718C2semidirect
14. C8×#11719919C2semidirect
22. SD16×Dic53C4semidirect
69. Q8×Dic53C2×C4semidirect
98. #13133149C2×C4semidirect
103. #13133141C2×C4semidirect
107. C8×Dic53C2×C4semidirect
172. SD16×C53C4⋊C4semidirect
209. #11719919SD16direct (N × H)
233. Q8×C53C2×C4⋊C4semidirect
287. C8×C53C2×C4⋊C4semidirect
321. Dic53C4×SD16semidirect
391. C53C4⋊C4×SD16semidirect
502. SD16#11719919direct (N × H)
563. Q8C2×#11719919semidirect
619. C8C2×#11719919semidirect

Maximal subgroups

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

subgroupindex
C2×SD16×Dic532
Q8×#117199192
D4×#117199192
#202754432
#202754412
#202749832
#202749812
#202749762
#202749742
#202748702
#202747182
#202747132
C8×#117199192
C2×C4×SD16×C532
C4⋊C4×SD1653