Finite Group Databasebeta

← C22×#22609 #72307911

Subgroups — C22×#22609 #72307911

Order 1024.

19165 conjugacy classes of subgroups.

The subgroup lattice has 697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×#106C211yesmaximal, characteristic
2C22×#2345C211yesmaximal, characteristic
3C22×#2344C211yesmaximal, characteristic
4C2×#22609C2148yesmaximal, direct product factor
5C22×#1941C212yesmaximal, complemented
6C22×#1919C212yesmaximal, complemented
7C22×#1920C212yesmaximal, complemented
8C22×#1824C211yesmaximal, characteristic
9C22×#1823C211yesmaximal, characteristic
10C22×#1807C211yesmaximal, characteristic
11C22×C4×#106C212yesmaximal, complemented
12C22×C8×C22⋊C4C211yesmaximal, characteristic
13C25×C8C2211yescharacteristic
14C23×#117—21no—
15C24×C4⋊C4C2211yescharacteristic
16C24×C4⋊C4C2211yescharacteristic
17C23×#106C4132yescomplemented
18C23×#106C2212yes—
19C23×#106C2211yescharacteristic
20C23×#106C2211yescharacteristic
21C23×#106C2211yescharacteristic
22C23×#106C2211yescharacteristic
23C23×#106C22124yes—
24C23×C22⋊C8C2211yescharacteristic
25C23×C4×C8C2212yes—
26C2×#2345—212no—
27C2×#2345C22124yes—
28C2×#2344—212no—
29C2×#2344C22124yes—
30C22×#389C2212yes—
31C22×#389C2212yes—
32C22×#387—22no—
33C22×#387—22no—
34C22×#381—21no—
35C22×#380—21no—
36C22×#380C2211yescharacteristic
37C22×#380C2211yescharacteristic
38C22×C4×C4⋊C4C2212yes—
39C22×C4×C4⋊C4C2212yes—
40C22×C4×C22⋊C4—21no—
41C22×C4×C22⋊C4C2211yescharacteristic
42#22609C221256yesdirect product factor
43C2×#1941C22148yescomplemented
44C2×#1919C22148yescomplemented
45C2×#1920C22148yescomplemented
46C2×#1824C22124yes—
47C2×#1823C22124yes—
48C2×#1807C22124yes—
49C2×C4×#106C22148yescomplemented
50C2×C8×C22⋊C4C22124yes—
51C22×#340C2212yes—
52C22×#340C2212yes—
53C22×#340C2212yes—
54C22×#340C2212yes—
55C22×#340C2212yes—
56C22×#336C2212yes—
57C25×C4—21no—
58C25×C4—21no—
59C25×C4C2311yescharacteristic
60C24×C8—216no—
61C24×C8C2×C4116yes—
62C24×C8C2312yes—
63C24×C8C2311yescharacteristic
64C24×C8C23112yes—
65C24×C8C2311yescharacteristic
66C22×#117—224no—
67C22×#117—416no—
68C23×C4⋊C4—26no—
69C23×C4⋊C4—26no—
70C23×C4⋊C4—21no—
71C23×C4⋊C4—21no—
72C23×C4⋊C4—28no—
73C23×C4⋊C4—28no—
74C23×C4⋊C4—22no—
75C23×C4⋊C4—22no—
76C23×C4⋊C4C2×C4116yes—
77C23×C4⋊C4C2×C4116yes—
78C23×C4⋊C4C2312yes—
79C23×C4⋊C4C2312yes—
80C23×C4⋊C4C23112yes—
81C23×C4⋊C4C23112yes—
82C23×C4⋊C4C2311yescharacteristic
83C23×C4⋊C4C2311yescharacteristic
84C23×C4⋊C4C2311yescharacteristic
85C23×C4⋊C4C2311yescharacteristic
86C23×C22⋊C4—21no—
87C23×C22⋊C4—21no—
88C23×C22⋊C4D411yescharacteristic
89C23×C22⋊C4D411yescharacteristic
90C23×C42—22no—
91C23×C42—22no—
92C23×C42C2312yes—
93C22×#106—216no—
94C22×#106C2×C4116yes—
95C22×#106C2×C4116yes—
96C22×#106C2×C4116yes—
97C22×#106C2×C4116yes—
98C22×#106C2×C41384yescomplemented
99C22×#106C23124yes—
100C22×#106C23112yes—
101C22×#106C23112yes—
102C22×#106C23112yes—
103C22×#106C23112yes—
104C22×#106C23164yes—
105C22×C22⋊C8—28no—
106C22×C22⋊C8C23112yes—
107C22×C4×C8—216no—
108C22×C4×C8C23124yes—
109#2345—296no—
110#2345C23164yes—
111#2344—296no—
112#2344C23164yes—
113C2×#389—212no—
114C2×#389—212no—
115C2×#389C23124yes—
116C2×#389C23124yes—
117C2×#387—248no—
118C2×#387—248no—
119C2×#381—224no—
120C2×#380—26no—
121C2×#380—26no—
122C2×#380—224no—
123C2×#380C23112yes—
124C2×#380C23112yes—
125C2×C4×C4⋊C4—212no—
126C2×C4×C4⋊C4—212no—
127C2×C4×C4⋊C4C23124yes—
128C2×C4×C4⋊C4C23124yes—
129C2×C4×C22⋊C4—224no—
130C2×C4×C22⋊C4D4112yes—
131C2×C4×C22⋊C4C23112yes—
132C22×#95—22no—
133C22×#95—22no—
134C22×#95—22no—
135C22×#95—21no—
136C22×#95—21no—
137C22×#95—22no—
138C22×#95D412yes—
139#1941C231128yescomplemented
140#1920C231128yescomplemented
141#1919C231128yescomplemented
142#1824C23164yes—
143#1823C23164yes—
144#1807C23164yes—
145C4×#106C231128yescomplemented
146C8×C22⋊C4C23164yes—
147C2×#340C23124yes—
148C2×#340C23124yes—
149C2×#340C23124yes—
150C2×#340C23124yes—
151C2×#340C23124yes—
152C2×#336C23124yes—
153C26C2×D411yescharacteristic
154C24×C4—28no—
155C24×C4—28no—
156C24×C4—216no—
157C24×C4—212no—
158C24×C4—21no—
159C24×C4—21no—
160C24×C4—21no—
161C24×C4—21no—
162C24×C4—216no—
163C24×C4—212no—
164C24×C4—22no—
165C24×C4—22no—
166C24×C4—48no—
167C24×C4—48no—
168C24×C4—88no—
169C24×C4C22×C418yes—
170C24×C4C2×D412yes—
171C24×C4C2×D416yes—
172C24×C4C2×D411yescharacteristic
173C24×C4C2×D412yes—
174C24×C4#4118yes—
175C24×C4C2416yes—
176C24×C4C2411yescharacteristic
177C23×C8—28no—
178C23×C8—2128no—
179C23×C8—296no—
180C23×C8—28no—
181C23×C8—28no—
182C23×C8—28no—
183C23×C8C22×C418yes—
184C23×C8C22×C4196yes—
185C23×C8C22×C418yes—
186C23×C8#41116yes—
187C23×C8C24112yes—
188C23×C8C24116yes—
189C23×C8C2416yes—
190C23×C8C2416yes—
191C2×#117—264no—
192C2×#117—4192no—
193C22×C4⋊C4—296no—
194C22×C4⋊C4—216no—
195C22×C4⋊C4—216no—
196C22×C4⋊C4—296no—
197C22×C4⋊C4—224no—
198C22×C4⋊C4—224no—
199C22×C4⋊C4—23no—
200C22×C4⋊C4—23no—
201C22×C4⋊C4—212no—
202C22×C4⋊C4—212no—
203C22×C4⋊C4—23no—
204C22×C4⋊C4—23no—
205C22×C4⋊C4—248no—
206C22×C4⋊C4—24no—
207C22×C4⋊C4—24no—
208C22×C4⋊C4—24no—
209C22×C4⋊C4—24no—
210C22×C4⋊C4—248no—
211C22×C4⋊C4—28no—
212C22×C4⋊C4—28no—
213C22×C4⋊C4—28no—
214C22×C4⋊C4—28no—
215C22×C4⋊C4—224no—
216C22×C4⋊C4—26no—
217C22×C4⋊C4—26no—
218C22×C4⋊C4—224no—
219C22×C4⋊C4—416no—
220C22×C4⋊C4—88no—
221C22×C4⋊C4C22×C418yes—
222C22×C4⋊C4C22×C418yes—
223C22×C4⋊C4C22×C418yes—
224C22×C4⋊C4C22×C418yes—
225C22×C4⋊C4C22×C4196yes—
226C22×C4⋊C4C22×C4196yes—
227C22×C4⋊C4C24112yes—
228C22×C4⋊C4C24112yes—
229C22×C4⋊C4C24116yes—
230C22×C4⋊C4C24116yes—
231C22×C4⋊C4C2416yes—
232C22×C4⋊C4C2416yes—
233C22×C4⋊C4C2416yes—
234C22×C4⋊C4C2416yes—
235C22×C22⋊C4—28no—
236C22×C22⋊C4—212no—
237C22×C22⋊C4—212no—
238C22×C22⋊C4—48no—
239C22×C22⋊C4—48no—
240C22×C22⋊C4SD16116yes—
241C22×C22⋊C4C2×D4112yes—
242C22×C22⋊C4C2×D4112yes—
243C22×C42—28no—
244C22×C42—28no—
245C22×C42—224no—
246C22×C42—224no—
247C22×C42—416no—
248C22×C42—88no—
249C22×C42C2×D4112yes—
250C22×C42C24112yes—
251C2×#106—296no—
252C2×#106C22×C4196yes—
253C2×#106C22×C4196yes—
254C2×#106C22×C4196yes—
255C2×#106C22×C4196yes—
256C2×#106C22×C41512yescomplemented
257C2×#106C24132yes—
258C2×#106C24116yes—
259C2×#106C24116yes—
260C2×#106C24116yes—
261C2×#106C24116yes—
262C2×C22⋊C8—248no—
263C2×C22⋊C8C24116yes—
264C2×C4×C8—296no—
265C2×C4×C8C24132yes—
266#389—248no—
267#389—248no—
268#389C24132yes—
269#389C24132yes—
270#387—2128no—
271#387—2128no—
272#381—264no—
273#380—224no—
274#380—224no—
275#380—264no—
276#380C24116yes—
277#380C24116yes—
278C4×C4⋊C4—248no—
279C4×C4⋊C4—248no—
280C4×C4⋊C4C24132yes—
281C4×C4⋊C4C24132yes—
282C4×C22⋊C4—264no—
283C4×C22⋊C4C2×D4148yes—
284C4×C22⋊C4C24116yes—
285C2×#95—224no—
286C2×#95—224no—
287C2×#95—224no—
288C2×#95—212no—
289C2×#95—212no—
290C2×#95—224no—
291C2×#95C2×D4124yes—
292#340C24132yes—
293#340C24132yes—
294#340C24132yes—
295#340C24132yes—
296#340C24132yes—
297#336C24132yes—
298C25—28no—
299C25—28no—
300C25C4×D418yes—
301C25C2×SD1618yes—
302C25#13518yes—
303C25C22×D416yes—
304C25C22×D411yescharacteristic
305C23×C4—28no—
306C23×C4—28no—
307C23×C4—28no—
308C23×C4—232no—
309C23×C4—232no—
310C23×C4—248no—
311C23×C4—264no—
312C23×C4—224no—
313C23×C4—224no—
314C23×C4—296no—
315C23×C4—28no—
316C23×C4—28no—
317C23×C4—28no—
318C23×C4—28no—
319C23×C4—28no—
320C23×C4—28no—
321C23×C4—28no—
322C23×C4—26no—
323C23×C4—26no—
324C23×C4—216no—
325C23×C4—26no—
326C23×C4—26no—
327C23×C4—296no—
328C23×C4—216no—
329C23×C4—212no—
330C23×C4—212no—
331C23×C4—44no—
332C23×C4—448no—
333C23×C4—44no—
334C23×C4—448no—
335C23×C4—44no—
336C23×C4—44no—
337C23×C4—48no—
338C23×C4—48no—
339C23×C4—4128no—
340C23×C4—48no—
341C23×C4—48no—
342C23×C4—48no—
343C23×C4—48no—
344C23×C4—48no—
345C23×C4—48no—
346C23×C4—864no—
347C23×C4—848no—
348C23×C4C4×D418yes—
349C23×C4C4×D4148yes—
350C23×C4C2×SD16116yes—
351C23×C4C23×C4124yes—
352C23×C4C23×C414yes—
353C23×C4C22×D4112yes—
354C23×C4C22×D416yes—
355C23×C4C22×D4112yes—
356C23×C4C22×D4112yes—
357C23×C4C22×D413yes—
358C23×C4C2×#41124yes—
359C23×C4C2×#4118yes—
360C23×C4C2×#4114yes—
361C23×C42−1+418yes—
362C23×C4C2514yes—
363C23×C4C2513yes—
364C22×C8—232no—
365C22×C8—224no—
366C22×C8—2384no—
367C22×C8—264no—
368C22×C8—224no—
369C22×C8—224no—
370C22×C8—224no—
371C22×C8—432no—
372C22×C8#117164yescomplemented
373C22×C8C23×C4124yes—
374C22×C8C23×C4164yes—
375C22×C8C23×C4124yes—
376C22×C8C2×#41148yes—
377C22×C8C2518yes—
378C22×C8C2514yes—
379C22×C8C2514yes—
380#117—4256no—
381C2×C4⋊C4—2192no—
382C2×C4⋊C4—296no—
383C2×C4⋊C4—296no—
384C2×C4⋊C4—224no—
385C2×C4⋊C4—224no—
386C2×C4⋊C4—224no—
387C2×C4⋊C4—224no—
388C2×C4⋊C4—2192no—
389C2×C4⋊C4—26no—
390C2×C4⋊C4—26no—
391C2×C4⋊C4—216no—
392C2×C4⋊C4—216no—
393C2×C4⋊C4—26no—
394C2×C4⋊C4—26no—
395C2×C4⋊C4—232no—
396C2×C4⋊C4—212no—
397C2×C4⋊C4—212no—
398C2×C4⋊C4—212no—
399C2×C4⋊C4—212no—
400C2×C4⋊C4—232no—
401C2×C4⋊C4—224no—
402C2×C4⋊C4—224no—
403C2×C4⋊C4—224no—
404C2×C4⋊C4—224no—
405C2×C4⋊C4—232no—
406C2×C4⋊C4—212no—
407C2×C4⋊C4—212no—
408C2×C4⋊C4—232no—
409C2×C4⋊C4—424no—
410C2×C4⋊C4—424no—
411C2×C4⋊C4—496no—
412C2×C4⋊C4—848no—
413C2×C4⋊C4C23×C4124yes—
414C2×C4⋊C4C23×C4124yes—
415C2×C4⋊C4C23×C4124yes—
416C2×C4⋊C4C23×C4124yes—
417C2×C4⋊C4C23×C4164yes—
418C2×C4⋊C4C23×C4164yes—
419C2×C4⋊C4C2518yes—
420C2×C4⋊C4C2518yes—
421C2×C4⋊C4C2514yes—
422C2×C4⋊C4C2514yes—
423C2×C4⋊C4C2514yes—
424C2×C4⋊C4C2514yes—
425C2×C22⋊C4—248no—
426C2×C22⋊C4—216no—
427C2×C22⋊C4—216no—
428C2×C22⋊C4—448no—
429C2×C22⋊C4—448no—
430C2×C22⋊C4C2×SD16196yes—
431C2×C22⋊C4C22×D4116yes—
432C2×C22⋊C4C22×D4116yes—
433C2×C42—248no—
434C2×C42—224no—
435C2×C42—224no—
436C2×C42—232no—
437C2×C42—232no—
438C2×C42—496no—
439C2×C42—848no—
440C2×C42C22×D4124yes—
441C2×C42C2518yes—
442#106—264no—
443#106C23×C4164yes—
444#106C23×C4164yes—
445#106C23×C4164yes—
446#106C23×C4164yes—
447C22⋊C8—232no—
448C4×C8—264no—
449#95—232no—
450#95—232no—
451#95—232no—
452#95—216no—
453#95—216no—
454#95—232no—
455#95C22×D4132yes—
456C24—264no—
457C24—264no—
458C24—232no—
459C24—232no—
460C24—224no—
461C24—224no—
462C24C4×SD16164yes—
463C24C2×C4×D4124yes—
464C24C2×C4×D414yes—
465C24#54718yes—
466C24C22×SD16124yes—
467C24C22×SD1614yes—
468C24C2×#135124yes—
469C24C2×#13514yes—
470C24#57718yes—
471C24C23×D414yes—
472C24C23×D413yes—
473C22×C4—264no—
474C22×C4—232no—
475C22×C4—224no—
476C22×C4—224no—
477C22×C4—224no—
478C22×C4—28no—
479C22×C4—28no—
480C22×C4—2192no—
481C22×C4—248no—
482C22×C4—248no—
483C22×C4—248no—
484C22×C4—296no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—224no—
490C22×C4—224no—
491C22×C4—264no—
492C22×C4—224no—
493C22×C4—224no—
494C22×C4—224no—
495C22×C4—224no—
496C22×C4—224no—
497C22×C4—264no—
498C22×C4—28no—
499C22×C4—28no—
500C22×C4—432no—
501C22×C4—4384no—
502C22×C4—432no—
503C22×C4—432no—
504C22×C4—432no—
505C22×C4—432no—
506C22×C4—412no—
507C22×C4—412no—
508C22×C4—432no—
509C22×C4—432no—
510C22×C4—412no—
511C22×C4—412no—
512C22×C4—424no—
513C22×C4—424no—
514C22×C4—424no—
515C22×C4—424no—
516C22×C4—424no—
517C22×C4—424no—
518C22×C4—424no—
519C22×C4—424no—
520C22×C4—8192no—
521C22×C4—832no—
522C22×C4—832no—
523C22×C4—832no—
524C22×C4C2×#117116yes—
525C22×C4C2×C4×D4124yes—
526C22×C4C2×C4×D4148yes—
527C22×C4C2×C4×D4112yes—
528C22×C4#519116yes—
529C22×C4#547124yes—
530C22×C4#552132yes—
531C22×C4C22×SD16148yes—
532C22×C4C24×C418yes—
533C22×C4C24×C416yes—
534C22×C4C23×D418yes—
535C22×C4C23×D414yes—
536C22×C4C23×D418yes—
537C22×C4C23×D413yes—
538C22×C4C22×#4118yes—
539C22×C4C22×#41112yes—
540C22×C4C22×#4116yes—
541C22×C4C2×2−1+4112yes—
542C22×C4C2611yescharacteristic
543C2×C8—28no—
544C2×C8—248no—
545C2×C8—2128no—
546C2×C8—28no—
547C2×C8—28no—
548C2×C8—28no—
549C2×C8—448no—
550C2×C8C2×#117196yescomplemented
551C2×C8C24×C418yes—
552C2×C8C24×C418yes—
553C2×C8C22×#41116yes—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—264no—
559C4⋊C4—264no—
560C4⋊C4—224no—
561C4⋊C4—224no—
562C4⋊C4—224no—
563C4⋊C4—224no—
564C4⋊C4—28no—
565C4⋊C4—28no—
566C4⋊C4—28no—
567C4⋊C4—28no—
568C4⋊C4—424no—
569C4⋊C4—424no—
570C4⋊C4—464no—
571C4⋊C4—832no—
572C4⋊C4C24×C418yes—
573C4⋊C4C24×C418yes—
574C4⋊C4C24×C418yes—
575C4⋊C4C24×C418yes—
576C22⋊C4—232no—
577C22⋊C4—432no—
578C22⋊C4—432no—
579C22⋊C4C22×SD16164yes—
580C42—28no—
581C42—28no—
582C42—248no—
583C42—464no—
584C42—832no—
585C23—248no—
586C23—296no—
587C23—296no—
588C23—248no—
589C23—2256no—
590C23—28no—
591C23—28no—
592C23#2344116yes—
593C23C2×C4×SD16196yes—
594C23C2×C4×SD16116yes—
595C23#2949116yes—
596C23#3335132yes—
597C23#3337132yes—
598C23C22×C4×D418yes—
599C23C22×C4×D416yes—
600C23C2×#547112yes—
601C23C23×SD1618yes—
602C23C23×SD1616yes—
603C23C22×#13518yes—
604C23C22×#13516yes—
605C23C2×#577112yes—
606C23C24×D411yescharacteristic
607C2×C4—296no—
608C2×C4—248no—
609C2×C4—28no—
610C2×C4—28no—
611C2×C4—28no—
612C2×C4—296no—
613C2×C4—28no—
614C2×C4—28no—
615C2×C4—216no—
616C2×C4—28no—
617C2×C4—28no—
618C2×C4—28no—
619C2×C4—28no—
620C2×C4—28no—
621C2×C4—28no—
622C2×C4—28no—
623C2×C4—448no—
624C2×C4—448no—
625C2×C4—448no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—48no—
631C2×C4—48no—
632C2×C4—4128no—
633C2×C4—448no—
634C2×C4—448no—
635C2×C4—48no—
636C2×C4—48no—
637C2×C4—48no—
638C2×C4—48no—
639C2×C4—48no—
640C2×C4—48no—
641C2×C4—864no—
642C2×C4—848no—
643C2×C4—848no—
644C2×C4#2344148yes—
645C2×C4C22×#117112yes—
646C2×C4C22×C4×D418yes—
647C2×C4C22×C4×D416yes—
648C2×C4C2×#519112yes—
649C2×C4C2×#547112yes—
650C2×C4C2×#552124yes—
651C2×C4C23×SD16116yes—
652C2×C4C25×C411yescharacteristic
653C2×C4C23×#4112yes—
654C2×C4C23×#4111yescharacteristic
655C2×C4C22×2−1+412yes—
656C8—28no—
657C8—48no—
658C8C22×#117116yescomplemented
659C22—2192no—
660C22—28no—
661C22—28no—
662C22—216no—
663C22—216no—
664C22#22609164yesdirect product factor
665C22C2×#2344112yes—
666C22C22×C4×SD16116yes—
667C22C22×C4×SD16112yes—
668C22C2×#2949112yes—
669C22C2×#3335124yes—
670C22C2×#3337124yes—
671C22C23×C4×D411yescharacteristic
672C22C22×#54712yes—
673C22C24×SD1611yescharacteristic
674C22C23×#13511yescharacteristic
675C22C22×#57712yes—
676C4—28no—
677C4—216no—
678C4—48no—
679C4—48no—
680C4—48no—
681C4—48no—
682C4—48no—
683C4—88no—
684C4—88no—
685C4C2×#2344112yes—
686C4C23×#11711yescharacteristic
687C4C22×#51911yescharacteristic
688C4C22×#55212yes—
689C2—216no—
690C2C2×#22609124yesdirect product factor
691C2C22×#234411yescharacteristic
692C2C23×C4×SD1611yescharacteristic
693C2C22×#294911yescharacteristic
694C2C22×#333512yes—
695C2C22×#333712yes—
subgroupG/H
center, socleC25C22×D4
commutatorC2×C4C25×C4
Frattini, cosocleC22×C4C26
prime radicalC26C2×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C25 ◁ C22×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
4. C2×#22609C2direct (N × H)
5. C22×#1941C2semidirect
6. C22×#1919C2semidirect
7. C22×#1920C2semidirect
11. C22×C4×#106C2semidirect
17. C23×#106C4semidirect
42. #22609C22direct (N × H)
43. C2×#1941C22semidirect
44. C2×#1919C22semidirect
45. C2×#1920C22semidirect
49. C2×C4×#106C22semidirect
98. C22×#106C2×C4semidirect
139. #1941C23semidirect
140. #1920C23semidirect
141. #1919C23semidirect
145. C4×#106C23semidirect
256. C2×#106C22×C4semidirect
372. C22×C8#117semidirect
550. C2×C8C2×#117semidirect
658. C8C22×#117semidirect
664. C22#22609direct (N × H)
690. C2C2×#22609direct (N × H)

Maximal subgroups

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

subgroupindex
C24×#1062
C22×#23452
C22×#23442
C2×#226092
C22×#19412
C22×#19192
C22×#19202
C22×#18242
C22×#18232
C22×#18072
C22×C4×#1062
C22×C8×C22⋊C42