Finite Group Databasebeta

← C2×#28992 #6460291

Subgroups — C2×#28992 #6460291

Order 512.

2428 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2491C211yesmaximal, characteristic, complemented
2C2×#2420C211yesmaximal, characteristic, complemented
3#28992C2116yesmaximal, direct product factor
4C2×#2077C211yesmaximal, characteristic, complemented
5C2×#2073C211yesmaximal, characteristic, complemented
6C2×#2023C211yesmaximal, characteristic, complemented
7C2×#1999C211yesmaximal, characteristic
8C2×#1993C211yesmaximal, characteristic, complemented
9C2×#1972C211yesmaximal, characteristic, complemented
10C2×#1934C211yesmaximal, characteristic, complemented
11C2×#1920C211yesmaximal, characteristic, complemented
12C2×#1895C211yesmaximal, characteristic, complemented
13C2×#1895C211yesmaximal, characteristic, complemented
14C2×#1879C211yesmaximal, characteristic, complemented
15C2×C4×#102C211yesmaximal, characteristic, complemented
16C2×#1753C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C23×M16C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#124—21no—
21C22×#121C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C22×C4×D4C2211yescharacteristic
24C22×#106C2211yescharacteristic
25C22×#102C2211yescharacteristic
26C22×#102C2211yescharacteristic
27C22×#102C2211yescharacteristic
28C22×#102C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×C22⋊C8C2211yescharacteristic
32C22×#97C2211yescharacteristic
33C22×C4×C8C2211yescharacteristic
34#2491—24no—
35#2491C2218yescomplemented
36#2420—24no—
37#2420C2218yescomplemented
38C2×#397—21no—
39C2×#394—21no—
40C2×#394—21no—
41C2×#393—21no—
42C2×#390C2211yescharacteristic
43C2×#390C2211yescharacteristic
44C2×#390C2211yescharacteristic
45C2×#389C2211yescharacteristic
46C2×#388—21no—
47C2×#386—21no—
48C2×#382C2211yescharacteristic
49C2×#381—21no—
50C2×#380C2211yescharacteristic
51C2×#380C2211yescharacteristic
52C2×C4×C4⋊C4C2211yescharacteristic
53C2×C4×C22⋊C4C2211yescharacteristic
54#2077C2218yescomplemented
55#2073C2218yescomplemented
56#2023C2218yescomplemented
57#1999C2218yes—
58#1993C2218yescomplemented
59#1972C2218yescomplemented
60#1934C2218yescomplemented
61#1920C2218yescomplemented
62#1895C2218yescomplemented
63#1895C2218yescomplemented
64#1879C2218yescomplemented
65C4×#102C2218yescomplemented
66#1753C2218yescomplemented
67C2×#340C2211yescharacteristic
68C2×#340C2211yescharacteristic
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×Q8—21no—
78C23×D4—21no—
79C23×D4—21no—
80C23×D4C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C24×C4—21no—
83C24×C4C2311yescharacteristic
84C22×D8—24no—
85C22×D8—24no—
86C22×D8—42no—
87C22×D8C2314yes—
88C22×M16—24no—
89C22×M16—42no—
90C22×M16—42no—
91C22×M16C2314yes—
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C23×C8C2311yescharacteristic
96C2×C4⋊Q8—24no—
97C2×C4⋊Q8—22no—
98C2×C4⋊Q8—42no—
99C2×C4⋊Q8C2314yes—
100C2×#124—28no—
101C2×#124—48no—
102C2×#121—22no—
103C2×#121—22no—
104C2×#121—24no—
105C2×#121—24no—
106C2×#121—42no—
107C2×#121—42no—
108C2×#121C2314yes—
109C2×#121C2314yes—
110C2×C4×D4—24no—
111C2×C4×D4—22no—
112C2×C4×D4—42no—
113C2×C4×D4C2314yes—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C22⋊C4—21no—
123C22×C22⋊C4—21no—
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4D411yescharacteristic
134C22×C22⋊C4D411yescharacteristic
135C22×C42—21no—
136C22×C42C2311yescharacteristic
137C22×C42C2311yescharacteristic
138C2×#106—24no—
139C2×#106C2314yes—
140C2×#102—24no—
141C2×#102—24no—
142C2×#102—24no—
143C2×#102—42no—
144C2×#102—42no—
145C2×#102—42no—
146C2×#102C2314yes—
147C2×#102C2314yes—
148C2×#102C2314yes—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×C22⋊C8—24no—
153C2×C22⋊C8C2314yes—
154C2×#97—42no—
155C2×#97C2314yes—
156C2×C4×C8—42no—
157C2×C4×C8C2314yes—
158#397—28no—
159#394—28no—
160#394—28no—
161#393—28no—
162#390—22no—
163#390—22no—
164#390—22no—
165#390C2314yes—
166#390C2314yes—
167#390C2314yes—
168#389—22no—
169#389C2314yes—
170#388—28no—
171#386—28no—
172#382—22no—
173#382C2314yes—
174#381—28no—
175#380—22no—
176#380—22no—
177#380C2314yes—
178#380C2314yes—
179C4×C4⋊C4—22no—
180C4×C4⋊C4C2314yes—
181C4×C22⋊C4D414yes—
182C4×C22⋊C4C2314yes—
183C2×#95—21no—
184C2×#95—21no—
185C2×#95—21no—
186C2×#95—21no—
187C2×#95—21no—
188C2×#95—21no—
189C2×#95D411yescharacteristic
190C2×#95D411yescharacteristic
191#340C2314yes—
192#340C2314yes—
193#340C2314yes—
194#340C2314yes—
195#340C2314yes—
196#340C2314yes—
197#340C2314yes—
198#340C2314yes—
199#336C2314yes—
200#336C2314yes—
201C25—21no—
202C25—21no—
203C25C2×D411yescharacteristic
204C22×Q8—24no—
205C22×Q8—44no—
206C22×Q8—44no—
207C22×Q8—82no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—21no—
211C22×D4—21no—
212C22×D4—22no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—44no—
224C22×D4—44no—
225C22×D4—44no—
226C22×D4—44no—
227C22×D4—82no—
228C22×D4—82no—
229C22×D4#4114yes—
230C22×D4C2412yes—
231C22×D4C2412yes—
232C23×C4—21no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—21no—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—24no—
245C23×C4—44no—
246C23×C4—44no—
247C23×C4—82no—
248C23×C4C2×D412yes—
249C23×C4C2×D411yescharacteristic
250C23×C4C2×D411yescharacteristic
251C23×C4C2×D411yescharacteristic
252C23×C4C2×D411yescharacteristic
253C23×C4C2×D411yescharacteristic
254C23×C4C2412yes—
255C23×C4C2411yescharacteristic
256C2×D8—28no—
257C2×D8—28no—
258C2×D8—44no—
259C2×D8—416no—
260C2×M16—28no—
261C2×M16—44no—
262C2×M16—44no—
263C2×M16—416no—
264C22×C8—22no—
265C22×C8—22no—
266C22×C8—22no—
267C22×C8—22no—
268C22×C8—22no—
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8#4114yes—
275C22×C8#4114yes—
276C22×C8C2412yes—
277C22×C8C2412yes—
278C22×C8C2412yes—
279C22×C8C2412yes—
280C4⋊Q8—28no—
281C4⋊Q8—44no—
282C4⋊Q8—48no—
283#124—432no—
284#121—28no—
285#121—28no—
286#121—44no—
287#121—44no—
288#121—48no—
289#121—48no—
290C4×D4—28no—
291C4×D4—44no—
292C4×D4—48no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—82no—
314C2×C4⋊C4#4114yes—
315C2×C4⋊C4C2412yes—
316C2×C4⋊C4C2412yes—
317C2×C4⋊C4C2412yes—
318C2×C4⋊C4C2412yes—
319C2×C4⋊C4C2412yes—
320C2×C4⋊C4C2412yes—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—42no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—82no—
342C2×C22⋊C4—82no—
343C2×C22⋊C4—82no—
344C2×C22⋊C4—82no—
345C2×C22⋊C4C2×D414yes—
346C2×C22⋊C4C2×D414yes—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—22no—
350C2×C42—22no—
351C2×C42—24no—
352C2×C42—44no—
353C2×C42C2×D412yes—
354C2×C42C2×D412yes—
355C2×C42C2412yes—
356C2×C42C2412yes—
357#106—28no—
358#102—28no—
359#102—28no—
360#102—28no—
361#102—44no—
362#102—44no—
363#102—44no—
364C22⋊C8—28no—
365#97—44no—
366C4×C8—44no—
367#95—24no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95C2×D414yes—
374#95C2×D414yes—
375C24—22no—
376C24—24no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—42no—
386C24—42no—
387C24—42no—
388C24—42no—
389C24—42no—
390C24—42no—
391C24—42no—
392C24—42no—
393C24—42no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24C22×D412yes—
399C24C22×D411yescharacteristic
400C2×Q8—48no—
401C2×Q8—48no—
402C2×Q8—84no—
403C2×Q8—816no—
404C2×D4—28no—
405C2×D4—24no—
406C2×D4—28no—
407C2×D4—22no—
408C2×D4—22no—
409C2×D4—22no—
410C2×D4—22no—
411C2×D4—22no—
412C2×D4—22no—
413C2×D4—22no—
414C2×D4—22no—
415C2×D4—22no—
416C2×D4—22no—
417C2×D4—22no—
418C2×D4—48no—
419C2×D4—48no—
420C2×D4—48no—
421C2×D4—48no—
422C2×D4—44no—
423C2×D4—42no—
424C2×D4—42no—
425C2×D4—44no—
426C2×D4—44no—
427C2×D4—42no—
428C2×D4—42no—
429C2×D4—42no—
430C2×D4—44no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—84no—
434C2×D4—84no—
435C2×D4—816no—
436C2×D4—816no—
437C2×D4C2×#4114yes—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—24no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—48no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—44no—
472C22×C4—44no—
473C22×C4—44no—
474C22×C4—44no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—48no—
491C22×C4—84no—
492C22×C4—816no—
493C22×C4AGL(1,ℤ/8)14yes—
494C22×C4C22×D412yes—
495C22×C4C22×D412yes—
496C22×C4C22×D412yes—
497C22×C4C22×D412yes—
498C22×C4C22×D412yes—
499C22×C4C22×D411yescharacteristic
500C22×C4C2×#4112yes—
501C22×C4C2×#4112yes—
502C22×C4C2×#4112yes—
503C22×C4C2×#4112yes—
504C22×C4H(5,𝔽2)12yes—
505C22×C4H(5,𝔽2)12yes—
506C22×C4C2511yescharacteristic
507D8—416no—
508M16—416no—
509C2×C8—28no—
510C2×C8—28no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—44no—
522C2×C8—44no—
523C2×C8C2×#4114yes—
524C2×C8C2×#4114yes—
525C4⋊C4—24no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—48no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—84no—
544C4⋊C4C2×#4114yes—
545C22⋊C4—28no—
546C22⋊C4—44no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—84no—
555C22⋊C4—84no—
556C22⋊C4—84no—
557C22⋊C4—84no—
558C42—24no—
559C42—24no—
560C42—22no—
561C42—22no—
562C42—22no—
563C42—22no—
564C42—48no—
565C23—22no—
566C23—24no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—44no—
574C23—44no—
575C23—42no—
576C23—42no—
577C23—48no—
578C23—44no—
579C23—44no—
580C23—48no—
581C23—42no—
582C23—42no—
583C23—44no—
584C23—48no—
585C23—44no—
586C23—42no—
587C23—44no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—84no—
597C23—84no—
598C23—84no—
599C23—84no—
600C23—84no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23#53212yes—
608C23#54612yes—
609C23#54612yes—
610C23C2×AGL(1,ℤ/8)12yes—
611C23#57512yes—
612C23#57612yes—
613C23#57712yes—
614C23C23×D411yescharacteristic
615Q8—816no—
616D4—24no—
617D4—24no—
618D4—42no—
619D4—42no—
620D4—42no—
621D4—42no—
622D4—42no—
623D4—42no—
624D4—48no—
625D4—816no—
626D4—816no—
627D4—84no—
628C2×C4—22no—
629C2×C4—28no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—44no—
645C2×C4—42no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—48no—
649C2×C4—42no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—48no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—816no—
672C2×C4—84no—
673C2×C4—84no—
674C2×C4—84no—
675C2×C4—84no—
676C2×C4—84no—
677C2×C4#52914yes—
678C2×C4#53212yes—
679C2×C4#53814yes—
680C2×C4#54612yes—
681C2×C4#54612yes—
682C2×C4#55114yes—
683C2×C4#55914yes—
684C2×C4C2×AGL(1,ℤ/8)14yes—
685C2×C4C22×#4111yescharacteristic
686C2×C4C22×#4111yescharacteristic
687C2×C4C22×#4111yescharacteristic
688C2×C4C22×#4111yescharacteristic
689C2×C4C2×H(5,𝔽2)11yescharacteristic
690C2×C4C2×H(5,𝔽2)11yescharacteristic
691C8—24no—
692C8—24no—
693C8—42no—
694C8—42no—
695C22—42no—
696C22—42no—
697C22—44no—
698C22—42no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—44no—
703C22—42no—
704C22—42no—
705C22—82no—
706C22—82no—
707C22—88no—
708C22—816no—
709C22—82no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—168no—
719C22#255714yes—
720C22#317114yes—
721C22#317914yes—
722C22#330614yes—
723C22#331914yes—
724C22#332514yes—
725C22#332614yes—
726C22C2×#53211yescharacteristic
727C22C2×#54611yescharacteristic
728C22C2×#54611yescharacteristic
729C22C22×AGL(1,ℤ/8)11yescharacteristic
730C22C2×#57511yescharacteristic
731C22C2×#57611yescharacteristic
732C22C2×#57711yescharacteristic
733C4—24no—
734C4—42no—
735C4—42no—
736C4—42no—
737C4—44no—
738C4—42no—
739C4—82no—
740C4—82no—
741C4—82no—
742C4—82no—
743C4—82no—
744C4#255714yes—
745C4C2×#52911yescharacteristic
746C4C2×#53811yescharacteristic
747C4C2×#55111yescharacteristic
748C4C2×#55911yescharacteristic
749C2—82no—
750C2—84no—
751C2—162no—
752C2#2899218yesdirect product factor
753C2C2×#255711yescharacteristic
754C2C2×#317111yescharacteristic
755C2C2×#317911yescharacteristic
756C2C2×#330611yescharacteristic
757C2C2×#331911yescharacteristic
758C2C2×#332511yescharacteristic
759C2C2×#332611yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#1999C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2491C2semidirect
2. C2×#2420C2semidirect
3. #28992C2direct (N × H)
4. C2×#2077C2semidirect
5. C2×#2073C2semidirect
6. C2×#2023C2semidirect
8. C2×#1993C2semidirect
9. C2×#1972C2semidirect
10. C2×#1934C2semidirect
11. C2×#1920C2semidirect
12. C2×#1895C2semidirect
13. C2×#1895C2semidirect
14. C2×#1879C2semidirect
15. C2×C4×#102C2semidirect
16. C2×#1753C2semidirect
35. #2491C22semidirect
37. #2420C22semidirect
54. #2077C22semidirect
55. #2073C22semidirect
56. #2023C22semidirect
58. #1993C22semidirect
59. #1972C22semidirect
60. #1934C22semidirect
61. #1920C22semidirect
62. #1895C22semidirect
63. #1895C22semidirect
64. #1879C22semidirect
65. C4×#102C22semidirect
66. #1753C22semidirect
752. C2#28992direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#24912
C2×#24202
#289922
C2×#20772
C2×#20732
C2×#20232
C2×#19992
C2×#19932
C2×#19722
C2×#19342
C2×#19202
C2×#18952
C2×#18792
C2×C4×#1022
C2×#17532