Finite Group Databasebeta

← #6461472

Subgroups — #6461472

Order 512.

2208 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#124C211yesmaximal, characteristic, complemented
2#34026C211yesmaximal, characteristic, complemented
3#29375C214yesmaximal, complemented
4#29374C214yesmaximal, complemented
5#29373C214yesmaximal, complemented
6#29372C214yesmaximal, complemented
7#23746C211yesmaximal, characteristic, complemented
8#23733C211yesmaximal, characteristic, complemented
9#23506C211yesmaximal, characteristic, complemented
10#23431C211yesmaximal, characteristic
11#21061C211yesmaximal, characteristic, complemented
12#21060C211yesmaximal, characteristic, complemented
13#20928C211yesmaximal, characteristic
14#20927C211yesmaximal, characteristic, complemented
15#20926C211yesmaximal, characteristic, complemented
16#20925C211yesmaximal, characteristic
17#20874C211yesmaximal, characteristic, complemented
18#20873C211yesmaximal, characteristic, complemented
19#20772C211yesmaximal, characteristic, complemented
20C22×#137C2211yescharacteristic
21C22×AGL(1,ℤ/8)C2211yescharacteristic
22C22×#124C2211yescharacteristic
23C2×C4×#41C2211yescharacteristic
24C22×C4×Q8C2211yescharacteristic
25C22×C4×D4C2211yescharacteristic
26C2×#428C2211yescharacteristic
27C2×#428C2211yescharacteristic
28C2×#417C2211yescharacteristic
29C2×#417C2211yescharacteristic
30C2×#419C2211yescharacteristic
31C2×#419C2211yescharacteristic
32C2×#419C2211yescharacteristic
33C2×#418C2211yescharacteristic
34C2×#418C2211yescharacteristic
35C2×#418C2211yescharacteristic
36C4×#124—22no—
37C4×#124—22no—
38C4×#124C2214yes—
39C4×#124C2214yes—
40#2298—22no—
41#2297C2211yescharacteristic
42#2297C2211yescharacteristic
43#2296C2211yescharacteristic
44#2296C2211yescharacteristic
45#2295C2212yescomplemented
46#2295C2212yescomplemented
47C2×#391C2211yescharacteristic
48#2293C2212yescomplemented
49#2293C2212yescomplemented
50C2×#390C2211yescharacteristic
51#2290—22no—
52#2290—22no—
53C2×#388—22no—
54C2×#382C2211yescharacteristic
55C4×#117—22no—
56C4×#117C2211yescharacteristic
57C2×C4×C22⋊C4—22no—
58C2×C43C2211yescharacteristic
59#2101C2214yescomplemented
60#2101C2214yescomplemented
61#2097C2212yescomplemented
62#2097C2212yescomplemented
63#2092C2212yescomplemented
64#2092C2212yescomplemented
65#2042C2214yes—
66#2042C2214yes—
67#2015C2212yes—
68#2015C2212yes—
69#2012C2212yes—
70#2012C2212yes—
71#1928C2214yescomplemented
72#1927C2214yescomplemented
73#1926C2214yes—
74#1925C2214yes—
75#1880C2214yes—
76#1880C2214yescomplemented
77#1879C2214yes—
78#1879C2214yes—
79#1878C2214yescomplemented
80#1878C2214yescomplemented
81#1877C2214yes—
82#1877C2214yescomplemented
83#1865C2214yescomplemented
84#1864C2214yes—
85#1863C2214yescomplemented
86#1862C2214yes—
87#1839C2214yescomplemented
88#1839C2214yescomplemented
89#1736C2211yescharacteristic
90#1736C2211yescharacteristic
91#1736C2211yescharacteristic
92#1736C2211yescharacteristic
93#1728C2211yescharacteristic
94#1728C2211yescharacteristic
95#1728C2211yescharacteristic
96#1728C2211yescharacteristic
97#1728C2211yescharacteristic
98#1728C2211yescharacteristic
99C22×#41C2311yescharacteristic
100C23×Q8C2311yescharacteristic
101C23×D4C2311yescharacteristic
102C24×C4—21no—
103C2×#137—24no—
104C2×#137—24no—
105C2×#137—42no—
106C2×AGL(1,ℤ/8)—24no—
107C2×AGL(1,ℤ/8)—24no—
108C2×AGL(1,ℤ/8)—42no—
109C22×Q16C2312yes—
110C22×SD16C2312yes—
111C22×SD16C2312yes—
112C22×D8C2312yes—
113C22×M16C2311yescharacteristic
114C22×M16C2311yescharacteristic
115C22×M16C2311yescharacteristic
116C22×M16C2311yescharacteristic
117C2×#124—24no—
118C2×#124—24no—
119C2×#124—22no—
120C2×#124C2312yes—
121C2×#124C2312yes—
122C4×#41—24no—
123C4×#41—24no—
124C2×C4×Q8—22no—
125C2×C4×Q8—42no—
126C2×C4×Q8—42no—
127C2×C4×Q8C2312yes—
128C2×C4×Q8C2314yes—
129C2×C4×D4—22no—
130C2×C4×D4—22no—
131C2×C4×D4—42no—
132C2×C4×D4—42no—
133C2×C4×D4C2312yes—
134C2×C4×D4C2314yes—
135C2×#117—21no—
136C2×#117—22no—
137C2×#117—22no—
138C2×#117C2311yescharacteristic
139C2×#117C2311yescharacteristic
140C2×#117C2311yescharacteristic
141C22×C4⋊C4—21no—
142C22×C4⋊C4C2311yescharacteristic
143C22×C4⋊C4C2311yescharacteristic
144C22×C22⋊C4—22no—
145C22×C22⋊C4—21no—
146C22×C22⋊C4—22no—
147C22×C42—21no—
148C22×C42—21no—
149C22×C42D412yes—
150C22×C42D412yes—
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153C22×C42C2311yescharacteristic
154#428—42no—
155#428—42no—
156C2×#107C2312yes—
157C2×#107C2312yes—
158C2×#106C2312yes—
159C2×#106C2312yes—
160#419—24no—
161#419—24no—
162#419—42no—
163#418—24no—
164#418—24no—
165#418—42no—
166#417—42no—
167#417—42no—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2312yes—
171C2×#103C2312yes—
172C2×#103C2312yes—
173C2×#103C2312yes—
174C2×#102C2314yes—
175C2×#102C2314yes—
176C2×#102C2312yes—
177C2×#102C2312yes—
178C2×#102C2312yes—
179C2×#102C2312yes—
180#391—21no—
181#391—21no—
182#391C2311yescharacteristic
183#391C2311yescharacteristic
184#391C2312yes—
185#391C2314yes—
186#390—21no—
187#390—21no—
188#390C2311yescharacteristic
189#390C2311yescharacteristic
190#390C2312yes—
191#390C2314yes—
192#389C2312yes—
193#389C2312yes—
194#389C2312yes—
195#389C2312yes—
196#388—24no—
197#388—24no—
198#388—24no—
199#388—24no—
200#388—22no—
201#388—22no—
202#388—22no—
203#388—22no—
204#387—22no—
205#387—22no—
206#387—22no—
207#387—22no—
208#386—21no—
209#386—21no—
210#386—22no—
211#385—21no—
212#385—21no—
213#385—22no—
214#382—22no—
215#382C2312yes—
216#382C2312yes—
217C4×C4⋊C4—22no—
218C4×C4⋊C4—22no—
219C4×C4⋊C4—22no—
220C4×C4⋊C4—22no—
221C4×C4⋊C4C2312yes—
222C4×C4⋊C4C2312yes—
223C4×C22⋊C4—22no—
224C4×C22⋊C4—24no—
225C4×C22⋊C4—24no—
226C4×C22⋊C4—24no—
227C4×C22⋊C4—24no—
228C4×C22⋊C4—22no—
229C4×C22⋊C4—22no—
230C4×C22⋊C4—22no—
231C4×C22⋊C4—22no—
232#376—22no—
233#376—22no—
234#376—21no—
235C2×#95—22no—
236C2×#95—22no—
237C43—21no—
238C43D412yes—
239C43D412yes—
240C43C2312yes—
241C43C2312yes—
242#340C2314yes—
243#340C2314yes—
244#340C2314yes—
245#340C2314yes—
246#336C2312yes—
247#336C2312yes—
248#336C2312yes—
249#336C2312yes—
250#336C2314yes—
251#336C2314yes—
252#336C2314yes—
253#336C2314yes—
254C25—21no—
255C2×#41—22no—
256C2×#41—22no—
257C2×#41—22no—
258C2×#41—22no—
259C2×#41—22no—
260C2×#41#4114yes—
261C22×Q8—21no—
262C22×Q8—22no—
263C22×Q8—22no—
264C22×Q8—22no—
265C22×Q8—22no—
266C22×Q8—22no—
267C22×Q8#4114yes—
268C22×Q8C2412yes—
269C22×Q8C2411yescharacteristic
270C22×D4—21no—
271C22×D4—21no—
272C22×D4—22no—
273C22×D4—22no—
274C22×D4—22no—
275C22×D4—22no—
276C22×D4—22no—
277C22×D4#4114yes—
278C22×D4C2412yes—
279C22×D4C2411yescharacteristic
280C23×C4—21no—
281C23×C4—22no—
282C23×C4—21no—
283C23×C4—21no—
284C23×C4—21no—
285C23×C4—24no—
286C23×C4—44no—
287C23×C4—48no—
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D412yes—
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D412yes—
292C23×C4C2411yescharacteristic
293#137—416no—
294AGL(1,ℤ/8)—416no—
295C2×Q16—24no—
296C2×Q16—24no—
297C2×Q16—42no—
298C2×SD16—24no—
299C2×SD16—24no—
300C2×SD16—24no—
301C2×SD16—24no—
302C2×SD16—42no—
303C2×SD16—42no—
304C2×D8—24no—
305C2×D8—24no—
306C2×D8—42no—
307C2×M16—22no—
308C2×M16—22no—
309C2×M16—22no—
310C2×M16—22no—
311C2×M16—22no—
312C2×M16—22no—
313C2×M16—22no—
314C2×M16—22no—
315C2×M16—22no—
316C2×M16—22no—
317C2×M16—22no—
318C2×M16—22no—
319C22×C8C2412yes—
320C22×C8C2412yes—
321C22×C8C2412yes—
322C22×C8C2412yes—
323#124—216no—
324#124—24no—
325#124—24no—
326#124—24no—
327#124—24no—
328C4×Q8—24no—
329C4×Q8—24no—
330C4×Q8—44no—
331C4×Q8—44no—
332C4×Q8—48no—
333C4×D4—216no—
334C4×D4—24no—
335C4×D4—24no—
336C4×D4—44no—
337C4×D4—44no—
338C4×D4—48no—
339#117—28no—
340#117—22no—
341#117—22no—
342#117—22no—
343#117—22no—
344#117—22no—
345#117—48no—
346#117—48no—
347#117#4114yes—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—24no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—44no—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2411yescharacteristic
365C2×C4⋊C4C2411yescharacteristic
366C2×C4⋊C4C2412yes—
367C2×C22⋊C4—216no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—21no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—24no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—48no—
382C2×C22⋊C4—44no—
383C2×C42—28no—
384C2×C42—21no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42—22no—
390C2×C42—22no—
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—21no—
395C2×C42—21no—
396C2×C42—24no—
397C2×C42—44no—
398C2×C42—44no—
399C2×C42—44no—
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D412yes—
402C2×C42C2×D412yes—
403C2×C42C2×D412yes—
404C2×C42C2×D412yes—
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D412yes—
407C2×C42C2×D412yes—
408C2×C42C2×D412yes—
409C2×C42C2×D412yes—
410C2×C42C2×D412yes—
411C2×C42C2×D412yes—
412C2×C42C2412yes—
413C2×C42C2412yes—
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416#107—42no—
417#107—42no—
418#106—42no—
419#106—42no—
420#103—28no—
421#103—28no—
422#103—42no—
423#103—42no—
424#103—42no—
425#103—42no—
426#102—28no—
427#102—28no—
428#102—42no—
429#102—42no—
430#102—42no—
431#102—42no—
432#95—24no—
433#95—24no—
434#95—24no—
435#95—24no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446C24—24no—
447C24—21no—
448C24—22no—
449C24—44no—
450C24—44no—
451C24—42no—
452C24—42no—
453C24C22×D411yescharacteristic
454#41—28no—
455#41—28no—
456#41—44no—
457#41—44no—
458C2×Q8—24no—
459C2×Q8—21no—
460C2×Q8—22no—
461C2×Q8—28no—
462C2×Q8—28no—
463C2×Q8—22no—
464C2×Q8—21no—
465C2×Q8—22no—
466C2×Q8—21no—
467C2×Q8—22no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—22no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—44no—
474C2×Q8—44no—
475C2×Q8C2×#4114yes—
476C2×Q8C2×#4112yes—
477C2×D4—24no—
478C2×D4—24no—
479C2×D4—28no—
480C2×D4—28no—
481C2×D4—22no—
482C2×D4—21no—
483C2×D4—22no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—22no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—44no—
496C2×D4—44no—
497C2×D4C2×#4114yes—
498C2×D4C2×#4112yes—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—28no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—21no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—44no—
521C22×C4—48no—
522C22×C4—48no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—48no—
533C22×C4—816no—
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C22×D411yescharacteristic
541C22×C4C2×#4112yes—
542C22×C4C2×#4112yes—
543C22×C4C2×#4112yes—
544C22×C4C2×#4112yes—
545C22×C4H(5,𝔽2)12yes—
546C22×C4H(5,𝔽2)12yes—
547C22×C4C2511yescharacteristic
548Q16—48no—
549SD16—48no—
550SD16—48no—
551D8—48no—
552M16—44no—
553M16—44no—
554M16—44no—
555M16—44no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C4⋊C4—28no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—48no—
581C4⋊C4—44no—
582C4⋊C4—44no—
583C4⋊C4—44no—
584C4⋊C4—42no—
585C4⋊C4—42no—
586C4⋊C4—44no—
587C4⋊C4C2×#4114yes—
588C22⋊C4—216no—
589C22⋊C4—216no—
590C22⋊C4—28no—
591C22⋊C4—24no—
592C22⋊C4—48no—
593C22⋊C4—48no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—42no—
598C22⋊C4—42no—
599C22⋊C4—48no—
600C22⋊C4—44no—
601C42—28no—
602C42—22no—
603C42—24no—
604C42—22no—
605C42—24no—
606C42—24no—
607C42—24no—
608C42—24no—
609C42—24no—
610C42—24no—
611C42—22no—
612C42—22no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—21no—
617C42—22no—
618C42—22no—
619C42—42no—
620C42—42no—
621C42—42no—
622C42—42no—
623C42—48no—
624C42—44no—
625C42—42no—
626C42—42no—
627C42—44no—
628C23—22no—
629C23—22no—
630C23—24no—
631C23—22no—
632C23—416no—
633C23—48no—
634C23—41no—
635C23—42no—
636C23—42no—
637C23—41no—
638C23—42no—
639C23—42no—
640C23—44no—
641C23—44no—
642C23—84no—
643C23—84no—
644C23—88no—
645C23#52512yes—
646C23#52512yes—
647C23#53512yes—
648C23C23×D411yescharacteristic
649Q8—22no—
650Q8—24no—
651Q8—22no—
652Q8—24no—
653Q8—48no—
654Q8—42no—
655Q8—42no—
656Q8—41no—
657Q8—41no—
658D4—22no—
659D4—24no—
660D4—22no—
661D4—24no—
662D4—48no—
663D4—48no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668C2×C4—28no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—48no—
689C2×C4—416no—
690C2×C4—44no—
691C2×C4—48no—
692C2×C4—48no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—41no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—48no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—816no—
712C2×C4—84no—
713C2×C4—84no—
714C2×C4#52512yes—
715C2×C4#52512yes—
716C2×C4#53512yes—
717C2×C4#55114yes—
718C2×C4#55114yes—
719C2×C4#55314yes—
720C2×C4#55314yes—
721C2×C4#57514yes—
722C2×C4#57514yes—
723C2×C4C22×#4111yescharacteristic
724C2×C4C22×#4111yescharacteristic
725C2×C4C22×#4111yescharacteristic
726C2×C4C22×#4111yescharacteristic
727C2×C4C2×H(5,𝔽2)11yescharacteristic
728C2×C4C2×H(5,𝔽2)11yescharacteristic
729C8—42no—
730C8—42no—
731C8—42no—
732C8—42no—
733C22—22no—
734C22—22no—
735C22—24no—
736C22—24no—
737C22—42no—
738C22—44no—
739C22—48no—
740C22—44no—
741C22—816no—
742C22—82no—
743C22—81no—
744C22—81no—
745C22—82no—
746C22—82no—
747C22—84no—
748C22#259814yes—
749C22C2×#52511yescharacteristic
750C22C2×#52511yescharacteristic
751C22C2×#53511yescharacteristic
752C22C2×#57512yes—
753C22C2×#57512yes—
754C4—24no—
755C4—24no—
756C4—42no—
757C4—44no—
758C4—42no—
759C4—42no—
760C4—42no—
761C4—42no—
762C4—44no—
763C4—81no—
764C4—82no—
765C4—81no—
766C4—82no—
767C4—82no—
768C4#259814yes—
769C4C2×#55111yescharacteristic
770C4C2×#55111yescharacteristic
771C4C2×#55311yescharacteristic
772C4C2×#55311yescharacteristic
773C2—24no—
774C2—82no—
775C2—84no—
776C2C2×#259811yescharacteristic
777C2#6055912yes—
778C2#6056312yes—
779C2#6079911yescharacteristic
780C2#6080211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×AGL(1,ℤ/8)C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×C4×#124C2semidirect
2. #34026C2semidirect
3. #29375C2semidirect
4. #29374C2semidirect
5. #29373C2semidirect
6. #29372C2semidirect
7. #23746C2semidirect
8. #23733C2semidirect
9. #23506C2semidirect
11. #21061C2semidirect
12. #21060C2semidirect
14. #20927C2semidirect
15. #20926C2semidirect
17. #20874C2semidirect
18. #20873C2semidirect
19. #20772C2semidirect
45. #2295C22semidirect
46. #2295C22semidirect
48. #2293C22semidirect
49. #2293C22semidirect
59. #2101C22semidirect
60. #2101C22semidirect
61. #2097C22semidirect
62. #2097C22semidirect
63. #2092C22semidirect
64. #2092C22semidirect
71. #1928C22semidirect
72. #1927C22semidirect
76. #1880C22semidirect
79. #1878C22semidirect
80. #1878C22semidirect
82. #1877C22semidirect
83. #1865C22semidirect
85. #1863C22semidirect
87. #1839C22semidirect
88. #1839C22semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#1242
#340262
#293752
#293742
#293732
#293722
#237462
#237332
#235062
#234312
#210612
#210602
#209282
#209272
#209262
#209252
#208742
#208732
#207722