Finite Group Databasebeta

← C2×#11749410 #14425045

Subgroups — C2×#11749410 #14425045

Order 1920.

1520 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92019C211yesmaximal, characteristic
2C2×#91836C211yesmaximal, characteristic, complemented
3C2×C5×#942C211yesmaximal, characteristic, complemented
4C2×C3×#4088C211yesmaximal, characteristic, complemented
5#11749410C218yesmaximal, direct product factor
6C2×#90978C211yesmaximal, characteristic, complemented
7C2×#90976C211yesmaximal, characteristic, complemented
8C2×#90960C211yesmaximal, characteristic, complemented
9C2×#65491—31nomaximal, Hall
10C22×C3×C5×Q8C2211yescharacteristic, complemented
11C22×D60C2211yescharacteristic
12C2×C5×#235C2211yescharacteristic
13C2×C3×#709C2211yescharacteristic
14C2×#6790—22no—
15#92019—22no—
16#92019—22no—
17#92019—22no—
18#92019C2214yes—
19C2×D3×D20—21no—
20C2×D5×D12—21no—
21C2×#6773—21no—
22C2×#6769—21no—
23#91836—22no—
24#91836C2214yescomplemented
25C2×#6714—22no—
26C2×C4×Dic15C2211yescharacteristic, complemented
27C2×C5×#216—21no—
28C5×#942—22no—
29C5×#942C2214yescomplemented
30C2×C5×#215—21no—
31C2×C5×#208C2211yescharacteristic, complemented
32C2×C3×#689—21no—
33C3×#4088—22no—
34C3×#4088C2214yescomplemented
35C2×C3×#688—21no—
36C2×C3×#681C2211yescharacteristic, complemented
37#90978C2214yescomplemented
38#90976C2214yescomplemented
39#90960C2214yescomplemented
40C2×#5202—51nomaximal, Hall
41C2×#4149—31no—
42C2×C5×#137—31no—
43C2×#4093—31no—
44C2×#4088D311yescharacteristic, complemented
45C2×#3969—31no—
46#65491—38no—
47C2×#3957—31no—
48C2×#3955—31no—
49C23×D15D412yes—
50C22×D3×D5—22no—
51C2×C3×C5×Q8—21no—
52C2×C3×C5×Q8—21no—
53C2×C3×C5×Q8—21no—
54C2×C3×C5×Q8—21no—
55C2×C3×C5×Q8—21no—
56C2×C3×C5×Q8C2312yescomplemented
57C22×C3×C4×C5—21no—
58C22×C3×C4×C5C2311yescharacteristic
59C22×Dic15—21no—
60C2×D60—21no—
61C2×D60—21no—
62C2×D60—21no—
63C2×D60—21no—
64C2×D60D412yes—
65C2×D60C2312yes—
66C2×C5×#67—21no—
67C5×#235—21no—
68C5×#235—21no—
69C5×#235D412yes—
70C5×#235C2312yes—
71C2×C5×D12D411yescharacteristic
72C2×C4×C5×D3—21no—
73C2×C5×Dic6D411yescharacteristic
74C2×C3×C22⋊D5—21no—
75C3×#709—21no—
76C3×#709—21no—
77C3×#709D412yes—
78C3×#709C2312yes—
79C2×C3×D20D411yescharacteristic
80C2×C3×C4×D5—21no—
81C2×C3×Dic10D411yescharacteristic
82#6790—28no—
83#6790—28no—
84C2×#1203—22no—
85C2×#1202—22no—
86C2×#1200—22no—
87D3×D20—24no—
88D3×D20—24no—
89D5×D12—24no—
90D5×D12—24no—
91#6773—24no—
92#6773—24no—
93#6769—24no—
94#6769—24no—
95#6714—28no—
96C4×Dic15—21no—
97C4×Dic15C2312yescomplemented
98C5×#216—24no—
99C5×#215—24no—
100C5×#208—21no—
101C5×#208C2312yescomplemented
102C2×C5×C3⋊C8—21no—
103C3×#689—24no—
104C3×#688—24no—
105C3×#681—21no—
106C3×#681C2312yescomplemented
107C2×C3×#168—21no—
108C2×#1009—51no—
109C2×C3×#137—51no—
110C2×#947—51no—
111C2×#942D511yescharacteristic, complemented
112C2×#837—51no—
113#5202—58no—
114C2×#825—51no—
115C2×#823—51no—
116C2×C5×#41—31no—
117C22×C5×Q8C2×D311yescharacteristic, complemented
118#4149—34no—
119#4149—62no—
120#4149—62no—
121#4149—62no—
122C2×#713—61no—
123C2×D4×D5—61no—
124C2×D4×D5—62no—
125C2×#709—61no—
126C2×#709C2×D311yescharacteristic
127C22×D20—31no—
128C22×D20—61no—
129C5×#137—34no—
130C5×#137—62no—
131C2×C5×Q16—61no—
132C2×C5×SD16—61no—
133C2×C5×M16—31no—
134#4093—34no—
135#4093—62no—
136C2×#689—21no—
137#4088—22no—
138#4088C2×D314yescomplemented
139C2×#688—21no—
140C2×#685—62no—
141C2×C4×Dic5—31no—
142C2×#681C2×D311yescharacteristic, complemented
143#3969—34no—
144#3957—34no—
145#3955—34no—
146C2×#455—151noSylow
147C23×C3×C5C2×D411yescharacteristic
148C22×D15—22no—
149C22×D15—22no—
150C22×D15—44no—
151C22×D15C2×D414yes—
152C22×C5×D3—21no—
153C22×C3×D5—21no—
154C2×D3×D5—28no—
155C2×D3×D5—84no—
156C3×C5×Q8—22no—
157C3×C5×Q8—22no—
158C3×C5×Q8—41no—
159C3×C5×Q8—41no—
160C2×C3×C4×C5—22no—
161C2×C3×C4×C5—41no—
162C2×C3×C4×C5—41no—
163C2×C3×C4×C5C2×D411yescharacteristic
164C2×C3×C4×C5C2×D411yescharacteristic
165C2×C3×C4×C5C2×D411yescharacteristic
166C2×C3×C4×C5C2×D411yescharacteristic
167C2×C3×C4×C5C2×D411yescharacteristic
168C2×C3×C4×C5C2411yescharacteristic
169C2×Dic15—22no—
170C2×Dic15—42no—
171D60—22no—
172D60—22no—
173D60—22no—
174D60—22no—
175C5×#67—22no—
176C5×#67—22no—
177C2×C5×Dic3—21no—
178C5×D12—21no—
179C5×D12C2×D412yes—
180C4×C5×D3—22no—
181C4×C5×D3—22no—
182C5×Dic6—21no—
183C5×Dic6C2×D412yes—
184C3×C22⋊D5—22no—
185C3×C22⋊D5—22no—
186C2×C3×Dic5—21no—
187C3×D20—21no—
188C3×D20C2×D412yes—
189C3×C4×D5—22no—
190C3×C4×D5—22no—
191C3×Dic10—21no—
192C3×Dic10C2×D412yes—
193#1203—28no—
194#1202—28no—
195#1200—28no—
196C3×#168—22no—
197C5×C3⋊C8—22no—
198C2×C3×#41—51no—
199C22×C3×Q8C2×D511yescharacteristic, complemented
200#1009—54no—
201#1009—102no—
202#1009—102no—
203#1009—102no—
204C2×#239—101no—
205C2×D3×D4—101no—
206C2×D3×D4—102no—
207C2×#235—101no—
208C2×#235C2×D511yescharacteristic
209C22×D12—51no—
210C22×D12—101no—
211C3×#137—54no—
212C3×#137—102no—
213C2×C3×Q16—101no—
214C2×C3×SD16—101no—
215C2×C3×M16—51no—
216#947—54no—
217#947—102no—
218C2×#216—21no—
219#942—22no—
220#942C2×D514yescomplemented
221C2×#215—21no—
222C2×(C2×D3)⋊C4—102no—
223C2×C4×Dic3—51no—
224C2×#208C2×D511yescharacteristic, complemented
225#837—54no—
226#825—54no—
227#823—54no—
228C23×D5—32no—
229C23×D5—62no—
230C5×#41—32no—
231C5×#41—32no—
232C5×#41—61no—
233C5×#41—61no—
234C2×C5×Q8—21no—
235C2×C5×Q8—21no—
236C2×C5×Q8—21no—
237C2×C5×Q8—21no—
238C2×C5×Q8—21no—
239C2×C5×Q8—31no—
240C2×C5×Q8C22×D312yescomplemented
241C2×C5×D4—31no—
242C2×C5×D4—61no—
243C22×C4×C5—21no—
244C22×C4×C5—61no—
245C22×C4×C5C22×D311yescharacteristic
246C2×C22⋊D5—21no—
247C2×C22⋊D5—62no—
248C22×Dic5—61no—
249#713—64no—
250#713—64no—
251D4×D5—64no—
252D4×D5—64no—
253D4×D5—68no—
254D4×D5—68no—
255#709—21no—
256#709—21no—
257#709—64no—
258#709—64no—
259#709#6712yes—
260#709C22×D312yes—
261C2×D20—32no—
262C2×D20—32no—
263C2×D20—64no—
264C2×D20—62no—
265C2×D20—61no—
266C2×D20—61no—
267C2×D20—61no—
268C2×D20—61no—
269C2×D20—64no—
270C2×D20#6711yescharacteristic
271C2×C4×D5—21no—
272C2×C4×D5—62no—
273C2×Dic10#6711yescharacteristic
274C5×Q16—64no—
275C5×SD16—64no—
276C5×M16—32no—
277C5×M16—61no—
278C2×C5×C8—61no—
279#689—24no—
280#688—24no—
281#685—68no—
282C4×Dic5—32no—
283C4×Dic5—61no—
284#681—21no—
285#681C22×D312yescomplemented
286C2×#168—21no—
287C2×H(5,𝔽2)—151no—
288C2×#137—31no—
289C2×#137—51no—
290C2×#124—151no—
291#455—158no—
292C2×#104—151no—
293C2×#104—151no—
294C2×#100—151no—
295C22×C3×C5—22no—
296C22×C3×C5#12011yescharacteristic
297C22×C3×C5#12011yescharacteristic
298C22×C3×C5C22×D411yescharacteristic
299C2×D15—24no—
300C2×D15—44no—
301C2×D15—44no—
302C2×D15—82no—
303C2×C5×D3—22no—
304C2×C5×D3—42no—
305C2×C3×D5—22no—
306C2×C3×D5—42no—
307D3×D5—88no—
308C3×C4×C5—42no—
309C3×C4×C5#12011yescharacteristic
310C3×C4×C5#12011yescharacteristic
311C3×C4×C5C22×D411yescharacteristic
312C3×C4×C5C22×D411yescharacteristic
313Dic15—42no—
314C3×Dic5—22no—
315C5×Dic3—22no—
316C23×D3—52no—
317C23×D3—102no—
318C3×#41—52no—
319C3×#41—52no—
320C3×#41—101no—
321C3×#41—101no—
322C2×C3×Q8—21no—
323C2×C3×Q8—21no—
324C2×C3×Q8—21no—
325C2×C3×Q8—21no—
326C2×C3×Q8—21no—
327C2×C3×Q8—51no—
328C2×C3×Q8C22×D512yescomplemented
329C2×C3×D4—51no—
330C2×C3×D4—101no—
331C22×C3×C4—21no—
332C22×C3×C4—101no—
333C22×C3×C4C22×D511yescharacteristic
334C2×#67—21no—
335C2×#67—102no—
336C22×Dic3—101no—
337#239—104no—
338#239—104no—
339D3×D4—104no—
340D3×D4—104no—
341D3×D4—108no—
342D3×D4—108no—
343#235—21no—
344#235—21no—
345#235—104no—
346#235—104no—
347#235C22⋊D512yes—
348#235C22×D512yes—
349C2×D12—52no—
350C2×D12—52no—
351C2×D12—104no—
352C2×D12—102no—
353C2×D12—101no—
354C2×D12—101no—
355C2×D12—101no—
356C2×D12—101no—
357C2×D12—104no—
358C2×D12C22⋊D511yescharacteristic
359C2×C4×D3—21no—
360C2×C4×D3—102no—
361C2×Dic6C22⋊D511yescharacteristic
362C3×Q16—104no—
363C3×SD16—104no—
364C3×M16—52no—
365C3×M16—101no—
366C2×C3×C8—101no—
367#216—24no—
368#215—24no—
369(C2×D3)⋊C4—108no—
370C4×Dic3—52no—
371C4×Dic3—101no—
372#208—21no—
373#208C22×D512yescomplemented
374C2×C3⋊C8—21no—
375C23×C5—61no—
376C23×C5D3×D411yescharacteristic
377C22×D5—21no—
378C22×D5—34no—
379C22×D5—68no—
380C22×D5—62no—
381C22×D5—62no—
382C22×D5—124no—
383C22×D5—244no—
384C5×Q8—22no—
385C5×Q8—22no—
386C5×Q8—32no—
387C5×Q8—41no—
388C5×Q8—41no—
389C5×Q8—61no—
390C5×D4—32no—
391C5×D4—62no—
392C5×D4—62no—
393C5×D4—61no—
394C2×C4×C5—22no—
395C2×C4×C5—41no—
396C2×C4×C5—41no—
397C2×C4×C5—61no—
398C2×C4×C5—62no—
399C2×C4×C5—62no—
400C2×C4×C5D3×D411yescharacteristic
401C2×C4×C5D3×D411yescharacteristic
402C2×C4×C5D3×D411yescharacteristic
403C2×C4×C5C2×#6711yescharacteristic
404C2×C4×C5C2×#6711yescharacteristic
405C2×C4×C5C23×D311yescharacteristic
406C22⋊D5—22no—
407C22⋊D5—22no—
408C22⋊D5—68no—
409C2×Dic5—21no—
410C2×Dic5—62no—
411C2×Dic5—122no—
412D20—21no—
413D20—68no—
414D20—62no—
415D20—62no—
416D20—62no—
417D20—62no—
418D20C2×#6712yes—
419C4×D5—22no—
420C4×D5—22no—
421C4×D5—68no—
422Dic10—21no—
423Dic10C2×#6712yes—
424C5×C8—62no—
425#168—22no—
426H(5,𝔽2)—154no—
427H(5,𝔽2)—302no—
428H(5,𝔽2)—302no—
429H(5,𝔽2)—302no—
430C2×#41—31no—
431C2×#41—51no—
432C2×#41—301no—
433C2×#41—301no—
434C22×Q8D3×D511yescharacteristic, complemented
435C22×D4—151no—
436C22×D4—301no—
437C22×D4—301no—
438C22×D4—302no—
439#137—34no—
440#137—54no—
441#137—62no—
442#137—102no—
443C2×Q16—61no—
444C2×Q16—101no—
445C2×SD16—61no—
446C2×SD16—101no—
447C2×M16—31no—
448C2×M16—51no—
449#124—154no—
450#124—302no—
451C2×C22⋊C4—302no—
452C2×C42—151no—
453#104—154no—
454#104—154no—
455#100—154no—
456C2×C3×C5—21no—
457C2×C3×C5—21no—
458C2×C3×C5#45512yescomplemented
459C2×C3×C5C2×#12011yescharacteristic
460D15—44no—
461C3×D5—42no—
462C5×D3—42no—
463C23×C3—101no—
464C23×C3D4×D511yescharacteristic
465C22×D3—21no—
466C22×D3—54no—
467C22×D3—108no—
468C22×D3—102no—
469C22×D3—102no—
470C22×D3—204no—
471C22×D3—404no—
472C3×Q8—22no—
473C3×Q8—22no—
474C3×Q8—41no—
475C3×Q8—41no—
476C3×Q8—52no—
477C3×Q8—101no—
478C3×D4—52no—
479C3×D4—102no—
480C3×D4—102no—
481C3×D4—101no—
482C2×C3×C4—22no—
483C2×C3×C4—41no—
484C2×C3×C4—41no—
485C2×C3×C4—101no—
486C2×C3×C4—102no—
487C2×C3×C4—102no—
488C2×C3×C4D4×D511yescharacteristic
489C2×C3×C4D4×D511yescharacteristic
490C2×C3×C4D4×D511yescharacteristic
491C2×C3×C4C2×C22⋊D511yescharacteristic
492C2×C3×C4C2×C22⋊D511yescharacteristic
493C2×C3×C4C23×D511yescharacteristic
494#67—22no—
495#67—22no—
496#67—108no—
497C2×Dic3—21no—
498C2×Dic3—102no—
499C2×Dic3—202no—
500D12—21no—
501D12—108no—
502D12—102no—
503D12—102no—
504D12—102no—
505D12—102no—
506D12C2×C22⋊D512yes—
507C4×D3—22no—
508C4×D3—22no—
509C4×D3—108no—
510Dic6—21no—
511Dic6C2×C22⋊D512yes—
512C3×C8—102no—
513C3⋊C8—22no—
514C22×C5—22no—
515C22×C5—62no—
516C22×C5—122no—
517C22×C5#93711yescharacteristic
518C22×C5#93711yescharacteristic
519C22×C5C2×D3×D411yescharacteristic
520C2×D5—22no—
521C2×D5—42no—
522C2×D5—64no—
523C2×D5—124no—
524C2×D5—124no—
525C2×D5—248no—
526C2×D5—242no—
527C4×C5—42no—
528C4×C5—62no—
529C4×C5#93711yescharacteristic
530C4×C5#93711yescharacteristic
531C4×C5C2×D3×D411yescharacteristic
532C4×C5C22×#6711yescharacteristic
533Dic5—22no—
534Dic5—122no—
535C24—152no—
536C24—302no—
537#41—32no—
538#41—32no—
539#41—52no—
540#41—52no—
541#41—61no—
542#41—61no—
543#41—101no—
544#41—101no—
545#41—304no—
546#41—304no—
547#41—304no—
548#41—304no—
549C2×Q8—21no—
550C2×Q8—21no—
551C2×Q8—21no—
552C2×Q8—21no—
553C2×Q8—21no—
554C2×Q8—31no—
555C2×Q8—51no—
556C2×Q8C2×D3×D512yescomplemented
557C2×D4—31no—
558C2×D4—51no—
559C2×D4—61no—
560C2×D4—101no—
561C2×D4—152no—
562C2×D4—152no—
563C2×D4—304no—
564C2×D4—304no—
565C2×D4—302no—
566C2×D4—304no—
567C2×D4—304no—
568C2×D4—302no—
569C2×D4—308no—
570C2×D4—308no—
571C2×D4—301no—
572C2×D4—301no—
573C2×D4—301no—
574C2×D4—301no—
575C22×C4—21no—
576C22×C4—61no—
577C22×C4—101no—
578C22×C4—302no—
579C22×C4—301no—
580C22×C4C2×D3×D511yescharacteristic
581Q16—64no—
582Q16—104no—
583SD16—64no—
584SD16—104no—
585M16—32no—
586M16—52no—
587M16—61no—
588M16—101no—
589C2×C8—61no—
590C2×C8—101no—
591C22⋊C4—308no—
592C42—152no—
593C42—301no—
594C3×C5C2×#45511yescharacteristic, complemented, Hall
595C22×C3—22no—
596C22×C3—102no—
597C22×C3—202no—
598C22×C3#408311yescharacteristic
599C22×C3#408311yescharacteristic
600C22×C3C2×D4×D511yescharacteristic
601C2×D3—22no—
602C2×D3—42no—
603C2×D3—104no—
604C2×D3—204no—
605C2×D3—204no—
606C2×D3—408no—
607C2×D3—402no—
608C3×C4—42no—
609C3×C4—102no—
610C3×C4#408311yescharacteristic
611C3×C4#408311yescharacteristic
612C3×C4C2×D4×D511yescharacteristic
613C3×C4C22×C22⋊D511yescharacteristic
614Dic3—22no—
615Dic3—202no—
616C2×C5—21no—
617C2×C5—21no—
618C2×C5—122no—
619C2×C5#520212yescomplemented
620C2×C5C2×#93711yescharacteristic
621D5—42no—
622D5—124no—
623C23—61no—
624C23—101no—
625C23—154no—
626C23—308no—
627C23—302no—
628C23—302no—
629C23—604no—
630C23—1204no—
631C23#679011yescharacteristic
632Q8—22no—
633Q8—22no—
634Q8—32no—
635Q8—41no—
636Q8—41no—
637Q8—52no—
638Q8—61no—
639Q8—101no—
640D4—32no—
641D4—52no—
642D4—62no—
643D4—62no—
644D4—61no—
645D4—102no—
646D4—102no—
647D4—101no—
648D4—308no—
649D4—308no—
650D4—302no—
651D4—302no—
652D4—302no—
653D4—302no—
654C2×C4—22no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—61no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—101no—
661C2×C4—102no—
662C2×C4—102no—
663C2×C4—308no—
664C2×C4—302no—
665C2×C4—602no—
666C2×C4D5×#6711yescharacteristic
667C2×C4D5×#6711yescharacteristic
668C2×C4D3×C22⋊D511yescharacteristic
669C2×C4D3×C22⋊D511yescharacteristic
670C2×C4#679011yescharacteristic
671C2×C4C22×D3×D511yescharacteristic
672C8—62no—
673C8—102no—
674C2×C3—21no—
675C2×C3—21no—
676C2×C3—202no—
677C2×C3#6549112yescomplemented
678C2×C3C2×#408311yescharacteristic
679D3—42no—
680D3—204no—
681C5C2×#520211yescharacteristic, complemented, Sylow
682C22—22no—
683C22—62no—
684C22—102no—
685C22—122no—
686C22—202no—
687C22—304no—
688C22—604no—
689C22—604no—
690C22—1202no—
691C22—1208no—
692C22#9157711yescharacteristic
693C22#9157711yescharacteristic
694C22C2×#679011yescharacteristic
695C4—42no—
696C4—62no—
697C4—102no—
698C4—602no—
699C4#9157711yescharacteristic
700C4#9157711yescharacteristic
701C4C2×D5×#6711yescharacteristic
702C4C2×D3×C22⋊D511yescharacteristic
703C3C2×#6549111yescharacteristic, complemented, Sylow
704C2—21no—
705C2—21no—
706C2—122no—
707C2—202no—
708C2—604no—
709C2#1174941012yesdirect product factor
710C2C2×#9157711yescharacteristic
subgroupG/H
centerC22#91577
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC22×C3×C5×Q8C22
socleC22×C3×C5#120
prime radicalC2×#92019C2
hypercenterC22×Q8D3×D5
hypocenterC3×C5C2×#455
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
2. C2×#91836C2semidirect
3. C2×C5×#942C2semidirect
4. C2×C3×#4088C2semidirect
5. #11749410C2direct (N × H)
6. C2×#90978C2semidirect
7. C2×#90976C2semidirect
8. C2×#90960C2semidirect
10. C22×C3×C5×Q8C22semidirect
24. #91836C22semidirect
26. C2×C4×Dic15C22semidirect
29. C5×#942C22semidirect
31. C2×C5×#208C22semidirect
34. C3×#4088C22semidirect
36. C2×C3×#681C22semidirect
37. #90978C22semidirect
38. #90976C22semidirect
39. #90960C22semidirect
44. C2×#4088D3semidirect
56. C2×C3×C5×Q8C23semidirect
97. C4×Dic15C23semidirect
101. C5×#208C23semidirect
106. C3×#681C23semidirect
111. C2×#942D5semidirect
117. C22×C5×Q8C2×D3semidirect
138. #4088C2×D3semidirect
142. C2×#681C2×D3semidirect
199. C22×C3×Q8C2×D5semidirect
220. #942C2×D5semidirect
224. C2×#208C2×D5semidirect
240. C2×C5×Q8C22×D3semidirect
285. #681C22×D3semidirect
328. C2×C3×Q8C22×D5semidirect
373. #208C22×D5semidirect
434. C22×Q8D3×D5semidirect
458. C2×C3×C5#455semidirect
556. C2×Q8C2×D3×D5semidirect
594. C3×C5C2×#455semidirect
619. C2×C5#5202semidirect
677. C2×C3#65491semidirect
681. C5C2×#5202semidirect
703. C3C2×#65491semidirect
709. C2#11749410direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#920192
C2×#918362
C2×C5×#9422
C2×C3×#40882
#117494102
C2×#909782
C2×#909762
C2×#909602
C2×#654913
C2×#52025