Finite Group Databasebeta

← C2×#30123 #6433441

Subgroups — C2×#30123 #6433441

Order 512.

2196 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2620C211yesmaximal, characteristic
2C2×#2323C211yesmaximal, characteristic, complemented
3#30123C2116yesmaximal, direct product factor
4C2×#2100C211yesmaximal, characteristic, complemented
5C2×#2096C211yesmaximal, characteristic, complemented
6C2×#2042C211yesmaximal, characteristic, complemented
7C2×#2034C211yesmaximal, characteristic
8C2×#2035C211yesmaximal, characteristic, complemented
9C2×#2015C211yesmaximal, characteristic, complemented
10C2×#2001C211yesmaximal, characteristic, complemented
11C2×#2000C211yesmaximal, characteristic
12C2×#1926C211yesmaximal, characteristic, complemented
13C2×#1927C211yesmaximal, characteristic, complemented
14C2×#1880C211yesmaximal, characteristic, complemented
15C2×#1878C211yesmaximal, characteristic, complemented
16C2×#1818C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C22×#124C2211yescharacteristic
20C22×C22⋊Q8C2211yescharacteristic
21C22×C22⋊Q8C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C22×C4×Q8C2211yescharacteristic
24C22×#117C2211yescharacteristic
25C22×#106C2211yescharacteristic
26C22×#106C2211yescharacteristic
27C22×#103C2211yescharacteristic
28C22×#103C2211yescharacteristic
29C22×#103C2211yescharacteristic
30C22×#103C2211yescharacteristic
31C22×#103C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#102C2211yescharacteristic
35C22×C22⋊C8C2211yescharacteristic
36C22×C22⋊C8C2211yescharacteristic
37#2620—24no—
38#2620C2218yes—
39C2×#396—21no—
40C2×#396—21no—
41C2×#394—21no—
42C2×#394—21no—
43#2323—24no—
44#2323C2218yescomplemented
45C2×#391C2211yescharacteristic
46C2×#391C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#389—21no—
49C2×#389C2211yescharacteristic
50C2×#388—21no—
51C2×#388—21no—
52C2×#387—21no—
53C2×#384C2211yescharacteristic
54C2×#380C2211yescharacteristic
55C2×C4×C4⋊C4C2211yescharacteristic
56#2100C2218yescomplemented
57#2096C2218yescomplemented
58#2042C2218yescomplemented
59#2035C2218yescomplemented
60#2034C2218yes—
61#2015C2218yescomplemented
62#2001C2218yescomplemented
63#2000C2218yes—
64#1927C2218yescomplemented
65#1926C2218yescomplemented
66#1880C2218yescomplemented
67#1878C2218yescomplemented
68#1818C2218yescomplemented
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#336C2211yescharacteristic
74C2×#336C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×Q8C2311yescharacteristic
78C23×Q8C2311yescharacteristic
79C23×D4—21no—
80C23×D4C2311yescharacteristic
81C24×C4C2311yescharacteristic
82C22×Q16—24no—
83C22×Q16—42no—
84C22×Q16—42no—
85C22×Q16C2314yes—
86C22×SD16—24no—
87C22×SD16—42no—
88C22×SD16—42no—
89C22×SD16C2314yes—
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C2×#124—22no—
95C2×#124—42no—
96C2×#124—42no—
97C2×#124C2314yes—
98C2×C22⋊Q8—24no—
99C2×C22⋊Q8—22no—
100C2×C22⋊Q8—22no—
101C2×C22⋊Q8—24no—
102C2×C22⋊Q8—42no—
103C2×C22⋊Q8—42no—
104C2×C22⋊Q8C2314yes—
105C2×C22⋊Q8C2314yes—
106C2×#121—22no—
107C2×#121—42no—
108C2×#121—42no—
109C2×#121C2314yes—
110C2×C4×Q8—22no—
111C2×C4×Q8—42no—
112C2×C4×Q8—42no—
113C2×C4×Q8C2314yes—
114C2×#117—42no—
115C2×#117—42no—
116C2×#117D414yes—
117C2×#117C2314yes—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4D411yescharacteristic
125C22×C4⋊C4D411yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4D411yescharacteristic
140C22×C22⋊C4D411yescharacteristic
141C22×C42—21no—
142C22×C42—21no—
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145C2×#106—42no—
146C2×#106—42no—
147C2×#106C2314yes—
148C2×#106C2314yes—
149C2×#103—24no—
150C2×#103—42no—
151C2×#103—42no—
152C2×#103—42no—
153C2×#103—42no—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#102—24no—
160C2×#102—42no—
161C2×#102—42no—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C22⋊C8—42no—
166C2×C22⋊C8—42no—
167C2×C22⋊C8C2314yes—
168C2×C22⋊C8C2314yes—
169#396—28no—
170#396—28no—
171#394—28no—
172#394—28no—
173#391—22no—
174#391—22no—
175#391C2314yes—
176#391C2314yes—
177#390—22no—
178#390C2314yes—
179#389—28no—
180#389—22no—
181#389C2314yes—
182#388—28no—
183#388—28no—
184#387—28no—
185#384—22no—
186#384C2314yes—
187#380—22no—
188#380C2314yes—
189C4×C4⋊C4—22no—
190C4×C4⋊C4C2314yes—
191C2×#95—21no—
192C2×#95—21no—
193C2×#95—21no—
194C2×#95—21no—
195C2×#95—21no—
196C2×#95—21no—
197C2×#95—21no—
198#340C2314yes—
199#340C2314yes—
200#340C2314yes—
201#340C2314yes—
202#336C2314yes—
203#336C2314yes—
204#336C2314yes—
205#336C2314yes—
206C25—21no—
207C25C2×D411yescharacteristic
208C22×Q8—21no—
209C22×Q8—21no—
210C22×Q8—22no—
211C22×Q8—22no—
212C22×Q8—22no—
213C22×Q8—22no—
214C22×Q8—22no—
215C22×Q8—22no—
216C22×Q8—22no—
217C22×Q8—22no—
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—22no—
221C22×Q8#4114yes—
222C22×Q8C2412yes—
223C22×Q8C2412yes—
224C22×D4—24no—
225C22×D4—21no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—44no—
233C22×D4—82no—
234C22×D4—82no—
235C22×D4C2412yes—
236C23×C4—21no—
237C23×C4—21no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—21no—
249C23×C4C2×D412yes—
250C23×C4C2×D411yescharacteristic
251C23×C4C2×D411yescharacteristic
252C23×C4C2×D411yescharacteristic
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D411yescharacteristic
255C23×C4C2412yes—
256C23×C4C2411yescharacteristic
257C2×Q16—28no—
258C2×Q16—44no—
259C2×Q16—44no—
260C2×Q16—416no—
261C2×SD16—28no—
262C2×SD16—44no—
263C2×SD16—44no—
264C2×SD16—416no—
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—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8C2412yes—
278C22×C8C2412yes—
279C22×C8C2412yes—
280C22×C8C2412yes—
281#124—44no—
282#124—44no—
283#124—48no—
284C22⋊Q8—216no—
285C22⋊Q8—28no—
286C22⋊Q8—28no—
287C22⋊Q8—44no—
288C22⋊Q8—44no—
289C22⋊Q8—48no—
290#121—44no—
291#121—44no—
292#121—48no—
293C4×Q8—44no—
294C4×Q8—44no—
295C4×Q8—48no—
296#117—48no—
297#117—44no—
298#117—44no—
299C2×C4⋊C4—28no—
300C2×C4⋊C4—24no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—42no—
321C2×C4⋊C4—42no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—82no—
325C2×C4⋊C4—82no—
326C2×C4⋊C4—82no—
327C2×C4⋊C4C2×D414yes—
328C2×C4⋊C4C2×D414yes—
329C2×C4⋊C4#4114yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C22⋊C4—28no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—42no—
345C2×C22⋊C4—42no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—82no—
351C2×C22⋊C4—82no—
352C2×C22⋊C4—82no—
353C2×C22⋊C4C2×D414yes—
354C2×C22⋊C4C2×D414yes—
355C2×C42—22no—
356C2×C42—22no—
357C2×C42—22no—
358C2×C42—22no—
359C2×C42—24no—
360C2×C42—24no—
361C2×C42—44no—
362C2×C42—82no—
363C2×C42C2×D412yes—
364C2×C42C2×D412yes—
365C2×C42C2412yes—
366C2×C42C2412yes—
367#106—44no—
368#106—44no—
369#103—28no—
370#103—44no—
371#103—44no—
372#103—44no—
373#103—44no—
374#102—28no—
375#102—44no—
376#102—44no—
377C22⋊C8—44no—
378C22⋊C8—44no—
379#95—24no—
380#95—24no—
381#95—24no—
382#95—24no—
383#95—24no—
384#95—24no—
385#95—24no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24C22×D412yes—
402C24C22×D411yescharacteristic
403C2×Q8—24no—
404C2×Q8—22no—
405C2×Q8—28no—
406C2×Q8—28no—
407C2×Q8—22no—
408C2×Q8—22no—
409C2×Q8—22no—
410C2×Q8—22no—
411C2×Q8—22no—
412C2×Q8—22no—
413C2×Q8—22no—
414C2×Q8—22no—
415C2×Q8—22no—
416C2×Q8—22no—
417C2×Q8—42no—
418C2×Q8—42no—
419C2×Q8—42no—
420C2×Q8—42no—
421C2×Q8—42no—
422C2×Q8—44no—
423C2×Q8—44no—
424C2×Q8—44no—
425C2×Q8—44no—
426C2×Q8—44no—
427C2×Q8—44no—
428C2×Q8C2×#4114yes—
429C2×D4—22no—
430C2×D4—22no—
431C2×D4—22no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—48no—
436C2×D4—42no—
437C2×D4—42no—
438C2×D4—42no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—84no—
444C2×D4—84no—
445C2×D4—816no—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
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—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
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—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—44no—
484C22×C4—44no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4C22×D412yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D412yes—
506C22×C4C22×D412yes—
507C22×C4C22×D411yescharacteristic
508C22×C4C2×#4112yes—
509C22×C4C2×#4112yes—
510C22×C4H(5,𝔽2)12yes—
511C22×C4H(5,𝔽2)12yes—
512C22×C4H(5,𝔽2)12yes—
513C22×C4H(5,𝔽2)12yes—
514C22×C4C2511yescharacteristic
515Q16—416no—
516SD16—416no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—44no—
530C2×C8—44no—
531C2×C8—44no—
532C2×C8—44no—
533C4⋊C4—216no—
534C4⋊C4—24no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—48no—
547C4⋊C4—48no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—84no—
553C4⋊C4—84no—
554C4⋊C4—84no—
555C4⋊C4C2×#4114yes—
556C22⋊C4—216no—
557C22⋊C4—44no—
558C22⋊C4—44no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—84no—
564C22⋊C4—84no—
565C22⋊C4—84no—
566C42—24no—
567C42—24no—
568C42—22no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—48no—
573C42—84no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—84no—
596C23—84no—
597C23—84no—
598C23—84no—
599C23—84no—
600C23—84no—
601C23—84no—
602C23#52512yes—
603C23#53412yes—
604C23#53512yes—
605C23#57712yes—
606C23#57712yes—
607C23#57712yes—
608C23#57812yes—
609C23C23×D411yescharacteristic
610Q8—24no—
611Q8—24no—
612Q8—48no—
613Q8—42no—
614Q8—42no—
615Q8—42no—
616Q8—42no—
617Q8—42no—
618Q8—42no—
619Q8—84no—
620D4—42no—
621D4—42no—
622D4—42no—
623D4—42no—
624D4—816no—
625D4—84no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—48no—
644C2×C4—44no—
645C2×C4—48no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—48no—
655C2×C4—42no—
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—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—84no—
675C2×C4—84no—
676C2×C4—84no—
677C2×C4—84no—
678C2×C4—84no—
679C2×C4#52512yes—
680C2×C4#53412yes—
681C2×C4#53512yes—
682C2×C4#53814yes—
683C2×C4#53814yes—
684C2×C4#54014yes—
685C2×C4#54014yes—
686C2×C4C22×#4111yescharacteristic
687C2×C4C22×#4111yescharacteristic
688C2×C4C2×H(5,𝔽2)11yescharacteristic
689C2×C4C2×H(5,𝔽2)11yescharacteristic
690C2×C4C2×H(5,𝔽2)11yescharacteristic
691C2×C4C2×H(5,𝔽2)11yescharacteristic
692C8—42no—
693C8—42no—
694C8—42no—
695C8—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—88no—
704C22—82no—
705C22—82no—
706C22—82no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—82no—
711C22—168no—
712C22#263514yes—
713C22#312114yes—
714C22#312514yes—
715C22#320114yes—
716C22#320414yes—
717C22#322214yes—
718C22#322514yes—
719C22C2×#52511yescharacteristic
720C22C2×#53411yescharacteristic
721C22C2×#53511yescharacteristic
722C22C2×#57711yescharacteristic
723C22C2×#57711yescharacteristic
724C22C2×#57711yescharacteristic
725C22C2×#57811yescharacteristic
726C4—42no—
727C4—44no—
728C4—42no—
729C4—42no—
730C4—42no—
731C4—42no—
732C4—44no—
733C4—82no—
734C4—82no—
735C4—82no—
736C4—82no—
737C4—82no—
738C4#263514yes—
739C4C2×#53811yescharacteristic
740C4C2×#53811yescharacteristic
741C4C2×#54011yescharacteristic
742C4C2×#54011yescharacteristic
743C2—82no—
744C2—162no—
745C2#3012318yesdirect product factor
746C2C2×#263511yescharacteristic
747C2C2×#312111yescharacteristic
748C2C2×#312511yescharacteristic
749C2C2×#320111yescharacteristic
750C2C2×#320411yescharacteristic
751C2C2×#322211yescharacteristic
752C2C2×#322511yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2323C2semidirect
3. #30123C2direct (N × H)
4. C2×#2100C2semidirect
5. C2×#2096C2semidirect
6. C2×#2042C2semidirect
8. C2×#2035C2semidirect
9. C2×#2015C2semidirect
10. C2×#2001C2semidirect
12. C2×#1926C2semidirect
13. C2×#1927C2semidirect
14. C2×#1880C2semidirect
15. C2×#1878C2semidirect
16. C2×#1818C2semidirect
44. #2323C22semidirect
56. #2100C22semidirect
57. #2096C22semidirect
58. #2042C22semidirect
59. #2035C22semidirect
61. #2015C22semidirect
62. #2001C22semidirect
64. #1927C22semidirect
65. #1926C22semidirect
66. #1880C22semidirect
67. #1878C22semidirect
68. #1818C22semidirect
745. C2#30123direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#26202
C2×#23232
#301232
C2×#21002
C2×#20962
C2×#20422
C2×#20342
C2×#20352
C2×#20152
C2×#20012
C2×#20002
C2×#19262
C2×#19272
C2×#18802
C2×#18782
C2×#18182