Finite Group Databasebeta

← #356493

Subgroups — #356493

Order 512.

2176 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×D4×M16C212yesmaximal
2C2×#2352C211yesmaximal, characteristic
3C2×#1742C211yesmaximal, characteristic, complemented
4C22×#343C211yesmaximal, characteristic, complemented
5#10858C212yesmaximal, complemented
6#10847C211yesmaximal, characteristic, complemented
7#10739C212yesmaximal, complemented
8#10739C212yesmaximal, complemented
9#10728C211yesmaximal, characteristic, complemented
10#10727C211yesmaximal, characteristic, complemented
11C4×#343C211yesmaximal, characteristic, complemented
12C23×M16C2212yes—
13C23×M16C2212yes—
14C22×C4×D4C2211yescharacteristic
15C22×#117C2211yescharacteristic
16C23×C4⋊C4C2211yescharacteristic
17D4×M16—28no—
18D4×M16C4116yescomplemented
19C2×#436—22no—
20C2×#435—22no—
21C2×#435—22no—
22C2×C8×D4—22no—
23C2×#423C2212yes—
24C2×#407C2212yes—
25C2×#407C2212yes—
26C2×C4×M16C2212yes—
27#2352—22no—
28#2352—22no—
29#2352—22no—
30#2352—22no—
31C2×#388C412yes—
32C2×#387C412yes—
33C2×#386C412yes—
34C2×#382C2211yescharacteristic
35C2×#380C2211yescharacteristic
36C2×#380C2211yescharacteristic
37C2×C4×C4⋊C4C2211yescharacteristic
38C2×C4×C22⋊C4C412yes—
39#1742—24no—
40C2×#343—24no—
41C2×#343C2211yescharacteristic
42C2×#343C2211yescharacteristic
43C2×#343C2212yes—
44C2×#343C2212yes—
45C2×#343C2211yescharacteristic
46C2×#343C2212yes—
47C2×#343C2212yes—
48C2×#343C2212yes—
49C2×#343C2212yes—
50C2×#343C2211yescharacteristic
51C23×D4C2×C411yescharacteristic
52C24×C4C2×C412yes—
53C24×C4C2311yescharacteristic
54C24×C4C2311yescharacteristic
55C22×M16—22no—
56C22×M16—22no—
57C22×M16—24no—
58C22×M16—24no—
59C22×M16—24no—
60C22×M16—24no—
61C22×M16—24no—
62C22×M16—24no—
63C22×M16—42no—
64C22×M16—42no—
65C22×M16—42no—
66C22×M16—42no—
67C22×M16C2×C418yes—
68C22×M16C2×C418yescomplemented
69C22×M16C2312yes—
70C22×M16C2312yes—
71C22×M16C2312yes—
72C22×M16C2312yes—
73C23×C8—22no—
74C23×C8—22no—
75C2×C4×D4C2×C418yes—
76C2×C4×D4D412yes—
77C2×C4×D4D412yes—
78C2×C4×D4D412yes—
79C2×C4×D4D412yes—
80C2×C4×D4D414yes—
81C2×C4×D4Q814yes—
82C2×#117—22no—
83C2×#117—22no—
84C2×#117—22no—
85C2×#117—22no—
86C2×#117—42no—
87C22×C4⋊C4—22no—
88C22×C4⋊C4—22no—
89C22×C4⋊C4—22no—
90C22×C4⋊C4—22no—
91C22×C4⋊C4—42no—
92C22×C4⋊C4C2×C412yes—
93C22×C4⋊C4C2×C411yescharacteristic
94C22×C4⋊C4C2311yescharacteristic
95C22×C4⋊C4C2311yescharacteristic
96C22×C4⋊C4C2311yescharacteristic
97C22×C4⋊C4C2311yescharacteristic
98C22×C22⋊C4C2×C412yes—
99C22×C22⋊C4C2×C412yes—
100C22×C22⋊C4C2×C412yes—
101C22×C22⋊C4C2×C411yescharacteristic
102C22×C22⋊C4C2×C411yescharacteristic
103C22×C42C2×C412yes—
104C22×C42C2×C412yes—
105C22×C42C2311yescharacteristic
106#436—216no—
107#435—216no—
108#435—216no—
109C8×D4—216no—
110#423—24no—
111#423C2×C418yescomplemented
112C2×C4⋊C8—22no—
113C2×C4⋊C8—22no—
114#407—24no—
115#407—24no—
116#407C2×C418yes—
117#407C2×C418yescomplemented
118C2×C22⋊C8—22no—
119C2×C22⋊C8—22no—
120C2×C22⋊C8—22no—
121C2×C22⋊C8—22no—
122C4×M16—24no—
123C4×M16C2×C418yescomplemented
124C2×#97—22no—
125C2×C4×C8—22no—
126#388—24no—
127#388—24no—
128#387—24no—
129#387—24no—
130#386—24no—
131#386—24no—
132#382—22no—
133#382—22no—
134#380—22no—
135#380—22no—
136#380—22no—
137#380—22no—
138C4×C4⋊C4—22no—
139C4×C4⋊C4—22no—
140C4×C22⋊C4—22no—
141C4×C22⋊C4—22no—
142C4×C22⋊C4—22no—
143C4×C22⋊C4—22no—
144C2×#95C2×C412yes—
145C2×#95C2×C412yes—
146C2×#95C2×C412yes—
147C2×#95C2×C412yes—
148C2×#95C2×C412yes—
149#343—24no—
150#343—24no—
151#343—24no—
152#343—22no—
153#343—22no—
154#343—22no—
155#343—42no—
156#343—42no—
157#343—42no—
158#343D414yescomplemented
159C25C22×C411yescharacteristic
160C25C22×C411yescharacteristic
161C22×D4—42no—
162C22×D4—42no—
163C22×D4C4214yes—
164C22×D4C22⋊C412yes—
165C22×D4C22⋊C412yes—
166C22×D4C4⋊C414yes—
167C23×C4—21no—
168C23×C4—21no—
169C23×C4—21no—
170C23×C4—21no—
171C23×C4—22no—
172C23×C4—22no—
173C23×C4—22no—
174C23×C4—22no—
175C23×C4—21no—
176C23×C4—21no—
177C23×C4—21no—
178C23×C4—21no—
179C23×C4—22no—
180C23×C4—22no—
181C23×C4—24no—
182C23×C4—42no—
183C23×C4—44no—
184C23×C4—82no—
185C23×C4C22×C411yescharacteristic
186C23×C4C22×C411yescharacteristic
187C23×C4C22×C414yes—
188C23×C4C22×C414yes—
189C23×C4C22×C412yes—
190C23×C4C22×C412yes—
191C23×C4C22×C412yes—
192C23×C4C22×C412yes—
193C23×C4C22×C411yescharacteristic
194C23×C4C22×C411yescharacteristic
195C23×C4C2×D412yes—
196C23×C4C2×D412yes—
197C23×C4C2×D412yes—
198C23×C4C2×D412yes—
199C23×C4C2×D412yes—
200C23×C4C2×D412yes—
201C23×C4C2×Q812yes—
202C23×C4C2×Q812yes—
203C23×C4C2411yescharacteristic
204C2×M16—22no—
205C2×M16—22no—
206C2×M16—22no—
207C2×M16—28no—
208C2×M16—28no—
209C2×M16—22no—
210C2×M16—22no—
211C2×M16—22no—
212C2×M16—22no—
213C2×M16—22no—
214C2×M16—22no—
215C2×M16—22no—
216C2×M16—22no—
217C2×M16—22no—
218C2×M16—22no—
219C2×M16—22no—
220C2×M16—22no—
221C2×M16—22no—
222C2×M16—22no—
223C2×M16—22no—
224C2×M16—216no—
225C2×M16—216no—
226C2×M16—44no—
227C2×M16—44no—
228C2×M16—44no—
229C2×M16—44no—
230C2×M16—48no—
231C2×M16—48no—
232C2×M16—48no—
233C2×M16—48no—
234C2×M16—48no—
235C2×M16—48no—
236C2×M16C22×C414yes—
237C2×M16C22×C414yes—
238C2×M16C22×C414yes—
239C2×M16C22×C414yes—
240C2×M16C2×D414yes—
241C2×M16#4114yes—
242C22×C8—22no—
243C22×C8—28no—
244C22×C8—28no—
245C22×C8—22no—
246C22×C8—22no—
247C22×C8—22no—
248C22×C8—44no—
249C22×C8—44no—
250C22×C8—44no—
251C22×C8—44no—
252C4×D4C22⋊C418yes—
253C4×D4C22⋊C418yes—
254C4×D4C22⋊C418yes—
255C4×D4C22⋊C418yes—
256C4×D4C4⋊C418yes—
257C4×D4C4⋊C418yes—
258C4×D4C4⋊C418yes—
259C4×D4C4⋊C418yes—
260#117—44no—
261#117—44no—
262#117—44no—
263#117—44no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—21no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—21no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—21no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—21no—
279C2×C4⋊C4—21no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4C4214yes—
286C2×C4⋊C4C22⋊C412yes—
287C2×C4⋊C4C22⋊C412yes—
288C2×C4⋊C4C4⋊C414yes—
289C2×C4⋊C4C2×D412yes—
290C2×C4⋊C4#4112yes—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—22no—
293C2×C22⋊C4—22no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—42no—
297C2×C22⋊C4—44no—
298C2×C22⋊C4—82no—
299C2×C22⋊C4C4214yes—
300C2×C22⋊C4C4214yes—
301C2×C22⋊C4C22⋊C411yescharacteristic
302C2×C22⋊C4C22⋊C411yescharacteristic
303C2×C22⋊C4C22⋊C411yescharacteristic
304C2×C22⋊C4C22⋊C411yescharacteristic
305C2×C22⋊C4C22⋊C412yes—
306C2×C22⋊C4C22⋊C412yes—
307C2×C22⋊C4C4⋊C414yes—
308C2×C22⋊C4C4⋊C414yes—
309C2×C42—22no—
310C2×C42—22no—
311C2×C42—24no—
312C2×C42—22no—
313C2×C42—22no—
314C2×C42—42no—
315C2×C42—82no—
316C2×C42C22×C414yes—
317C2×C42C2×D412yes—
318C2×C42C2×D412yes—
319C2×C42C2×D412yes—
320C2×C42C2×Q812yes—
321C4⋊C8—28no—
322C4⋊C8—28no—
323C22⋊C8—28no—
324C22⋊C8—28no—
325C22⋊C8—28no—
326C22⋊C8—28no—
327#97—28no—
328C4×C8—28no—
329#95—22no—
330#95—22no—
331#95—22no—
332#95—22no—
333#95—24no—
334#95—24no—
335#95—24no—
336C24—21no—
337C24—21no—
338C24—21no—
339C24—21no—
340C24—22no—
341C24—22no—
342C24—21no—
343C24—21no—
344C24—21no—
345C24—21no—
346C24—41no—
347C24—41no—
348C24—41no—
349C24—41no—
350C24—41no—
351C24—41no—
352C24C2×C4212yes—
353C24C2×C4212yes—
354C24C2×C22⋊C412yes—
355C24C2×C22⋊C411yescharacteristic
356C24C2×C22⋊C411yescharacteristic
357C24C2×C4⋊C412yes—
358C24C2×C4⋊C412yes—
359C24C23×C411yescharacteristic
360C2×D4—24no—
361C2×D4—24no—
362C2×D4—42no—
363C2×D4—42no—
364C2×D4—48no—
365C2×D4—48no—
366C2×D4#9518yes—
367C2×D4#9518yes—
368C22×C4—21no—
369C22×C4—21no—
370C22×C4—21no—
371C22×C4—21no—
372C22×C4—21no—
373C22×C4—21no—
374C22×C4—21no—
375C22×C4—21no—
376C22×C4—24no—
377C22×C4—24no—
378C22×C4—24no—
379C22×C4—24no—
380C22×C4—24no—
381C22×C4—24no—
382C22×C4—24no—
383C22×C4—24no—
384C22×C4—22no—
385C22×C4—22no—
386C22×C4—22no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—22no—
390C22×C4—22no—
391C22×C4—22no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—22no—
395C22×C4—22no—
396C22×C4—22no—
397C22×C4—22no—
398C22×C4—24no—
399C22×C4—24no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4—22no—
406C22×C4—22no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—24no—
411C22×C4—24no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—44no—
428C22×C4—44no—
429C22×C4—42no—
430C22×C4—42no—
431C22×C4—44no—
432C22×C4—44no—
433C22×C4—42no—
434C22×C4—42no—
435C22×C4—42no—
436C22×C4—42no—
437C22×C4—42no—
438C22×C4—42no—
439C22×C4—82no—
440C22×C4—82no—
441C22×C4—88no—
442C22×C4—88no—
443C22×C4C2×C4212yes—
444C22×C4C2×C4212yes—
445C22×C4C2×C4212yes—
446C22×C4C2×C4212yes—
447C22×C4C2×C22⋊C414yes—
448C22×C4C2×C22⋊C414yes—
449C22×C4C2×C22⋊C414yes—
450C22×C4C2×C22⋊C414yes—
451C22×C4C2×C22⋊C412yes—
452C22×C4C2×C22⋊C411yescharacteristic
453C22×C4C2×C22⋊C411yescharacteristic
454C22×C4C2×C22⋊C411yescharacteristic
455C22×C4C2×C22⋊C411yescharacteristic
456C22×C4C2×C22⋊C412yes—
457C22×C4C2×C4⋊C414yes—
458C22×C4C2×C4⋊C414yes—
459C22×C4C2×C4⋊C414yes—
460C22×C4C2×C4⋊C414yes—
461C22×C4C2×C4⋊C412yes—
462C22×C4C2×C4⋊C412yes—
463C22×C4C2×C4⋊C412yes—
464C22×C4C2×C4⋊C412yes—
465C22×C4C4×D414yes—
466C22×C4C23×C412yes—
467C22×C4C22×D411yescharacteristic
468C22×C4C22×D412yes—
469C22×C4C22×D411yescharacteristic
470C22×C4C22×Q811yescharacteristic
471C22×C4C2×#4112yes—
472C22×C4C2×#4111yescharacteristic
473C22×C4H(5,𝔽2)11yescharacteristic
474C22×C4H(5,𝔽2)12yes—
475C22×C42−1+411yescharacteristic
476M16—24no—
477M16—24no—
478M16—24no—
479M16—24no—
480M16—24no—
481M16—24no—
482M16—24no—
483M16—24no—
484M16—24no—
485M16—416no—
486M16—416no—
487M16—42no—
488M16—42no—
489M16—42no—
490M16—42no—
491M16—42no—
492M16—42no—
493M16C4×D418yes—
494C2×C8—24no—
495C2×C8—24no—
496C2×C8—24no—
497C2×C8—24no—
498C2×C8—24no—
499C2×C8—24no—
500C2×C8—416no—
501C2×C8—416no—
502C2×C8—42no—
503C2×C8—42no—
504C2×C8—42no—
505C2×C8—42no—
506C2×C8—42no—
507C2×C8—42no—
508C4⋊C4—24no—
509C4⋊C4—24no—
510C4⋊C4—48no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4#9518yes—
518C4⋊C4#9518yes—
519C22⋊C4—48no—
520C22⋊C4—44no—
521C22⋊C4—44no—
522C22⋊C4—84no—
523C22⋊C4#9514yes—
524C22⋊C4#9514yes—
525C22⋊C4#9518yes—
526C22⋊C4#9518yes—
527C22⋊C4#9514yes—
528C22⋊C4#9514yes—
529C42—44no—
530C42—44no—
531C42—82no—
532C42—82no—
533C42C2×C22⋊C414yes—
534C42C2×C22⋊C414yes—
535C42C2×C4⋊C414yes—
536C42C2×C4⋊C414yes—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—22no—
546C23—21no—
547C23—21no—
548C23—22no—
549C23—22no—
550C23—22no—
551C23—21no—
552C23—21no—
553C23—22no—
554C23—22no—
555C23—22no—
556C23—21no—
557C23—21no—
558C23—22no—
559C23—24no—
560C23—24no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—81no—
582C23—81no—
583C23—81no—
584C23—81no—
585C23—81no—
586C23—81no—
587C23—81no—
588C23—81no—
589C23C2×#9514yes—
590C23C2×#9512yes—
591C23C2×#9512yes—
592C23#41312yes—
593C23#41312yes—
594C23C22×C4211yescharacteristic
595C23C22×C22⋊C411yescharacteristic
596C23C22×C4⋊C411yescharacteristic
597C23C2×C4×D411yescharacteristic
598C23C4×#4111yescharacteristic
599C23#51811yescharacteristic
600C23#52011yescharacteristic
601D4—216no—
602D4—48no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—44no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—44no—
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—88no—
658C2×C4—88no—
659C2×C4—82no—
660C2×C4—82no—
661C2×C4—82no—
662C2×C4—82no—
663C2×C4—82no—
664C2×C4—82no—
665C2×C4C2×#9512yes—
666C2×C4C2×#9512yes—
667C2×C4C2×#9514yes—
668C2×C4C2×#9512yes—
669C2×C4C2×#9514yes—
670C2×C4C2×#9512yes—
671C2×C4C22×C22⋊C412yes—
672C2×C4C22×C4⋊C412yes—
673C2×C4C2×C4×D412yes—
674C2×C4C4×#4112yes—
675C2×C4#51812yes—
676C2×C4#52012yes—
677C2×C4D4211yescharacteristic
678C2×C4D4212yes—
679C2×C4#54612yes—
680C2×C4#54612yes—
681C2×C4#54612yes—
682C2×C4#54711yescharacteristic
683C2×C4#54712yes—
684C2×C4D4×Q811yescharacteristic
685C2×C4#55412yes—
686C2×C4#55411yescharacteristic
687C8—28no—
688C8—44no—
689C8—44no—
690C8—44no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—21no—
695C22—22no—
696C22—21no—
697C22—21no—
698C22—22no—
699C22—21no—
700C22—21no—
701C22—22no—
702C22—21no—
703C22—21no—
704C22—22no—
705C22—21no—
706C22—21no—
707C22—22no—
708C22—22no—
709C22—24no—
710C22—22no—
711C22—22no—
712C22—24no—
713C22—22no—
714C22—24no—
715C22—44no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—41no—
720C22—42no—
721C22—41no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—41no—
726C22—42no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22#174214yescomplemented
732C22C22×#9511yescharacteristic
733C22C42×D411yescharacteristic
734C22#227511yescharacteristic
735C22D4×C22⋊C411yescharacteristic
736C22#233911yescharacteristic
737C22D4×C4⋊C411yescharacteristic
738C22#234911yescharacteristic
739C22C2×#41311yescharacteristic
740C22C2×#41311yescharacteristic
741C22#288811yescharacteristic
742C22#288911yescharacteristic
743C4—24no—
744C4—22no—
745C4—22no—
746C4—22no—
747C4—22no—
748C4—24no—
749C4—44no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4D4×C22⋊C412yes—
754C4#233912yes—
755C4D4×C4⋊C412yes—
756C4#234912yes—
757C2—21no—
758C2—21no—
759C2—21no—
760C2—21no—
761C2—24no—
762C2—42no—
763C2—44no—
764C2D4×#9511yescharacteristic
765C2C2×#174211yescharacteristic
766C2#2035811yescharacteristic
767C2#2240811yescharacteristic
768C2#2241011yescharacteristic
769C2#2248011yescharacteristic
770C2#2248211yescharacteristic
subgroupG/H
center, socleC23C22×C22⋊C4
commutatorC23C22×C42
Frattini, cosocleC23×C4C24
prime radicalC23×D4C2×C4
LCSG ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#1742C2semidirect
4. C22×#343C2semidirect
5. #10858C2semidirect
6. #10847C2semidirect
7. #10739C2semidirect
8. #10739C2semidirect
9. #10728C2semidirect
10. #10727C2semidirect
11. C4×#343C2semidirect
18. D4×M16C4semidirect
68. C22×M16C2×C4semidirect
111. #423C2×C4semidirect
117. #407C2×C4semidirect
123. C4×M16C2×C4semidirect
158. #343D4semidirect
731. C22#1742semidirect

Maximal subgroups

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

subgroupindex
C2×D4×M162
C2×#23522
C2×#17422
C22×#3432
#108582
#108472
#107392
#107282
#107272
C4×#3432