Finite Group Databasebeta

← #946406

Subgroups — #946406

Order 512.

2518 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2565C211yesmaximal, characteristic, complemented
2C2×#2566C211yesmaximal, characteristic
3C2×#2453C211yesmaximal, characteristic, complemented
4C2×#2454C211yesmaximal, characteristic
5#17133C214yesmaximal, complemented
6#16358C214yesmaximal, complemented
7#16317C214yesmaximal, complemented
8#15959C214yesmaximal, complemented
9#15237C211yesmaximal, characteristic, complemented
10#15237C211yesmaximal, characteristic, complemented
11#15228C211yesmaximal, characteristic, complemented
12#15228C211yesmaximal, characteristic, complemented
13#15222C211yesmaximal, characteristic
14#15222C211yesmaximal, characteristic
15#14276C211yesmaximal, characteristic, complemented
16#14273C211yesmaximal, characteristic
17#14027C211yesmaximal, characteristic
18#14026C211yesmaximal, characteristic
19#13848C211yesmaximal, characteristic, complemented
20C22×#125C2211yescharacteristic
21C22×#125C2211yescharacteristic
22C22×#124C2211yescharacteristic
23C22×C4×Q8C2211yescharacteristic
24C22×C4×D4C2211yescharacteristic
25#2566—28no—
26#2565—28no—
27#2454—28no—
28#2453—28no—
29C2×#400C2212yes—
30C2×#399C2212yes—
31C2×#398C2214yes—
32C2×#398C2212yes—
33C2×#396C2214yes—
34C2×#396C2212yes—
35C2×#391C2211yescharacteristic
36C2×#391C2211yescharacteristic
37C2×#391C2211yescharacteristic
38C2×#391C2211yescharacteristic
39C2×#391C2211yescharacteristic
40C2×#390C2211yescharacteristic
41C2×#390C2211yescharacteristic
42C2×#390C2211yescharacteristic
43C2×#390C2211yescharacteristic
44C2×#390C2211yescharacteristic
45C2×#389C2211yescharacteristic
46C2×#389C2211yescharacteristic
47C2×#389C2211yescharacteristic
48C2×#389C2211yescharacteristic
49C2×#389C2212yes—
50C2×#387C2214yes—
51C2×#387C2212yes—
52C2×#385C2214yes—
53C2×#385C2212yes—
54C2×#384C2211yescharacteristic
55C2×#384C2211yescharacteristic
56C2×#382C2211yescharacteristic
57C2×#382C2211yescharacteristic
58C2×#382C2211yescharacteristic
59C2×#380C2212yes—
60C2×C4×C4⋊C4C2211yescharacteristic
61C2×C4×C4⋊C4C2211yescharacteristic
62C2×C4×C4⋊C4C2211yescharacteristic
63C2×C4×C4⋊C4C2211yescharacteristic
64C2×#376C2211yescharacteristic
65#1444C2212yes—
66#1444C2214yes—
67#1444C2214yes—
68#1443C2214yes—
69#1443C2214yes—
70#1442C2212yes—
71#1441C2212yes—
72#1441C2212yes—
73#1441C2214yes—
74#1441C2214yes—
75#1441C2214yes—
76#1441C2214yes—
77#1441C2214yes—
78#1441C2214yes—
79#1440C2214yes—
80#1439C2214yes—
81#1439C2214yes—
82#1439C2214yes—
83#1439C2214yes—
84#1439C2214yes—
85#1439C2214yes—
86#1439C2214yes—
87#1437C2214yes—
88C4⋊#95C2211yescharacteristic
89C4⋊#95C2211yescharacteristic
90C4⋊#95C2211yescharacteristic
91C4⋊#95C2211yescharacteristic
92C22⋊#95C2214yes—
93C4×#95C2211yescharacteristic
94C4×#95C2211yescharacteristic
95C23×Q8C2311yescharacteristic
96C23×D4C2311yescharacteristic
97C24×C4C2312yes—
98C2×#125—24no—
99C2×#125—24no—
100C2×#125—24no—
101C2×#125—24no—
102C2×#125—42no—
103C2×#125—42no—
104C2×#124—42no—
105C2×#124—42no—
106C2×#124Q818yes—
107C2×C4×Q8—24no—
108C2×C4×Q8—24no—
109C2×C4×Q8—42no—
110C2×C4×D4—24no—
111C2×C4×D4—24no—
112C2×C4×D4—42no—
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2312yes—
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2312yes—
128C22×C4⋊C4C2312yes—
129C22×C4⋊C4C2312yes—
130C22×C4⋊C4C2312yes—
131C22×C4⋊C4C2314yes—
132C22×C4⋊C4C2314yes—
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2314yes—
143C22×C22⋊C4C2314yes—
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146C22×C42C2312yes—
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149C22×C42C2311yescharacteristic
150C22×C42C2311yescharacteristic
151C22×C42C2311yescharacteristic
152#400—28no—
153#399—28no—
154#398—216no—
155#398—28no—
156#396—216no—
157#396—28no—
158#391—24no—
159#391—24no—
160#391—24no—
161#391—24no—
162#391—42no—
163#390—24no—
164#390—24no—
165#390—24no—
166#390—24no—
167#390—42no—
168#389—28no—
169#389—24no—
170#389—24no—
171#389—24no—
172#389—24no—
173#387—216no—
174#387—28no—
175#385—216no—
176#385—28no—
177#384—42no—
178#384D418yes—
179#382—24no—
180#382—24no—
181#382—42no—
182#380—28no—
183C4×C4⋊C4—24no—
184C4×C4⋊C4—24no—
185C4×C4⋊C4—42no—
186C4×C4⋊C4D418yes—
187#376—42no—
188C2×#95C2314yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2312yes—
195C2×#95C2312yes—
196C2×#95C2312yes—
197C2×#95C2312yes—
198C2×#95C2312yes—
199C2×#95C2312yes—
200C2×#95C2312yes—
201C2×#95C2312yes—
202C2×#95C2312yes—
203C2×#95C2312yes—
204C2×#95C2312yes—
205C2×#95C2312yes—
206C2×#95C2314yes—
207C2×#95C2314yes—
208C2×#95C2314yes—
209C2×#95C2314yes—
210C2×#95C2314yes—
211C2×#95C2312yes—
212C2×#95C2314yes—
213C2×#95C2312yes—
214C2×#95C2312yes—
215C2×#95C2311yescharacteristic
216C2×#95C2311yescharacteristic
217C25C2412yes—
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—22no—
221C22×Q8—22no—
222C22×Q8—22no—
223C22×Q8—22no—
224C22×Q8C2×Q814yes—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4C2×Q814yes—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—42no—
235C23×C4—44no—
236C23×C4—44no—
237C23×C4C2412yes—
238C23×C4C2412yes—
239C23×C4C2412yes—
240C23×C4C2412yes—
241C23×C4C2412yes—
242C23×C4C2412yes—
243C23×C4C2412yes—
244C23×C4C2411yescharacteristic
245C23×C4C2411yescharacteristic
246C23×C4C2411yescharacteristic
247C23×C4C2412yes—
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250C23×C4C2412yes—
251C23×C4C2411yescharacteristic
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2411yescharacteristic
255#125—416no—
256#125—416no—
257#124—416no—
258C4×Q8—416no—
259C4×D4—416no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—42no—
294C2×C4⋊C4—42no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—42no—
297C2×C4⋊C4—42no—
298C2×C4⋊C4—42no—
299C2×C4⋊C4—42no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—44no—
302C2×C4⋊C4—42no—
303C2×C4⋊C4—42no—
304C2×C4⋊C4—42no—
305C2×C4⋊C4—42no—
306C2×C4⋊C4—42no—
307C2×C4⋊C4—42no—
308C2×C4⋊C4—42no—
309C2×C4⋊C4—42no—
310C2×C4⋊C4—44no—
311C2×C4⋊C4—44no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4C2×D414yes—
316C2×C4⋊C4C2×D414yes—
317C2×C4⋊C4C2×D414yes—
318C2×C4⋊C4C2×D414yes—
319C2×C4⋊C4C2×D4116yes—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—42no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
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—44no—
342C2×C22⋊C4C2×Q8116yes—
343C2×C42—22no—
344C2×C42—22no—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—22no—
350C2×C42—22no—
351C2×C42—22no—
352C2×C42—22no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—22no—
356C2×C42—22no—
357C2×C42—22no—
358C2×C42—22no—
359C2×C42—22no—
360C2×C42—22no—
361C2×C42—42no—
362C2×C42C2×D414yes—
363C2×C42C2×D414yes—
364C2×C42C2×D414yes—
365C2×C42C2×D414yes—
366C2×C42C2×Q814yes—
367#95—24no—
368#95—24no—
369#95—24no—
370#95—28no—
371#95—28no—
372#95—24no—
373#95—24no—
374#95—28no—
375#95—24no—
376#95—28no—
377#95—24no—
378#95—24no—
379#95—24no—
380#95—24no—
381#95—44no—
382#95—42no—
383#95—44no—
384#95—42no—
385#95—42no—
386#95—42no—
387#95—44no—
388#95—44no—
389#95—42no—
390#95—42no—
391#95—42no—
392#95—44no—
393#95—44no—
394#95C2×D414yes—
395#95C2×D414yes—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—24no—
403C24—24no—
404C24—24no—
405C24—24no—
406C24C22×Q814yes—
407C24C2511yescharacteristic
408C2×Q8—28no—
409C2×Q8—28no—
410C2×Q8—28no—
411C2×Q8—44no—
412C2×Q8—44no—
413C2×Q8—44no—
414C2×Q8—44no—
415C2×D4—28no—
416C2×D4—28no—
417C2×D4—28no—
418C2×D4—44no—
419C2×D4—44no—
420C2×D4—44no—
421C2×D4—44no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—22no—
431C22×C4—21no—
432C22×C4—22no—
433C22×C4—21no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—24no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—88no—
509C22×C4—84no—
510C22×C4—88no—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D414yes—
515C22×C4C22×D414yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D414yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×Q814yes—
523C22×C4C22×Q814yes—
524C22×C4C22×Q812yes—
525C22×C4H(5,𝔽2)12yes—
526C22×C4H(5,𝔽2)12yes—
527C22×C42−1+412yes—
528C22×C42−1+412yes—
529C4⋊C4—28no—
530C4⋊C4—28no—
531C4⋊C4—44no—
532C4⋊C4—44no—
533C4⋊C4—416no—
534C4⋊C4—48no—
535C4⋊C4—48no—
536C4⋊C4—48no—
537C4⋊C4—48no—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—84no—
549C4⋊C4—84no—
550C4⋊C4—88no—
551C22⋊C4—416no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—416no—
555C22⋊C4—88no—
556C22⋊C4—84no—
557C22⋊C4—84no—
558C22⋊C4—84no—
559C22⋊C4—88no—
560C42—28no—
561C42—28no—
562C42—28no—
563C42—28no—
564C42—28no—
565C42—48no—
566C42—44no—
567C42—44no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—28no—
572C23—28no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—44no—
579C23—44no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23C23×D411yescharacteristic
592C23C23×D411yescharacteristic
593C23C23×Q811yescharacteristic
594C23C2×H(5,𝔽2)11yescharacteristic
595C23C2×H(5,𝔽2)11yescharacteristic
596C23C2×2−1+411yescharacteristic
597C23C2×2−1+411yescharacteristic
598C23#58512yes—
599C23#58512yes—
600C23#58512yes—
601C23#58512yes—
602Q8—416no—
603D4—416no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—28no—
624C2×C4—24no—
625C2×C4—28no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—44no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—44no—
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—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—816no—
700C2×C4#53714yes—
701C2×C4#53714yes—
702C2×C4#54314yes—
703C2×C4D4214yes—
704C2×C4D4×Q814yes—
705C2×C4D4×Q814yes—
706C2×C4#56314yes—
707C22—48no—
708C22—44no—
709C22—44no—
710C22—44no—
711C22—48no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—84no—
716C22—82no—
717C22—84no—
718C22C2×#53711yescharacteristic
719C22C2×#53711yescharacteristic
720C22#344911yescharacteristic
721C22#344911yescharacteristic
722C22C2×#54311yescharacteristic
723C22C2×D4211yescharacteristic
724C22C2×D4×Q811yescharacteristic
725C22C2×D4×Q811yescharacteristic
726C22#348512yes—
727C22#348712yes—
728C22#350011yescharacteristic
729C22#350011yescharacteristic
730C22#350412yes—
731C22#350412yes—
732C22C2×#56311yescharacteristic
733C22#353912yes—
734C22#355112yes—
735C22#355712yes—
736C22#355712yes—
737C22#356212yes—
738C22#356212yes—
739C22#356512yes—
740C22#356512yes—
741C4—42no—
742C4—42no—
743C4—44no—
744C4—44no—
745C4—42no—
746C4—42no—
747C4—42no—
748C4—44no—
749C4—42no—
750C4—44no—
751C4—44no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4—82no—
758C4#268318yes—
759C2—84no—
760C2#3742011yescharacteristic
761C2#3754211yescharacteristic
762C2#3768211yescharacteristic
763C2#3768311yescharacteristic
764C2#3961311yescharacteristic
765C2#3961311yescharacteristic
766C2#4267412yes—
767C2#4295312yes—
768C2#4513912yes—
769C2C2×#268311yescharacteristic
770C2#5315512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×D4C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2565C2semidirect
3. C2×#2453C2semidirect
5. #17133C2semidirect
6. #16358C2semidirect
7. #16317C2semidirect
8. #15959C2semidirect
9. #15237C2semidirect
10. #15237C2semidirect
11. #15228C2semidirect
12. #15228C2semidirect
15. #14276C2semidirect
19. #13848C2semidirect

Maximal subgroups

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

subgroupindex
C2×#25652
C2×#25662
C2×#24532
C2×#24542
#171332
#163582
#163172
#159592
#152372
#152282
#152222
#142762
#142732
#140272
#140262
#138482