Finite Group Databasebeta

← #14424724

Subgroups — #14424724

Order 1920.

1528 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92100C211yesmaximal, characteristic, complemented
2C2×C5×#950C211yesmaximal, characteristic, complemented
3#11754603C211yesmaximal, characteristic, complemented
4C2×#91305C211yesmaximal, characteristic, complemented
5C3×#65521C211yesmaximal, characteristic, complemented
6#11749307C212yesmaximal, complemented
7#11749289C212yesmaximal, complemented
8#11749062C212yesmaximal, complemented
9#11749041C212yesmaximal, complemented
10C2×#90968C211yesmaximal, characteristic, complemented
11#11748350C211yesmaximal, characteristic, complemented
12#10615643—31nomaximal, Hall
13C2×C3×C5×#41C2211yescharacteristic
14#92100—24no—
15#92100—24no—
16C2×#6821C2212yes—
17C2×D4×D15—22no—
18C2×D4×D15C2212yes—
19C2×#6817—21no—
20C2×#6817C2211yescharacteristic
21C22×D60—21no—
22C22×D60C2211yescharacteristic
23C2×C5×#235C2211yescharacteristic, complemented
24C5×#950—24no—
25C2×C5×#216C2211yescharacteristic, complemented
26C2×C5×#215C2211yescharacteristic, complemented
27C2×C5×#214C2211yescharacteristic, complemented
28C2×C5×#213C2211yescharacteristic, complemented
29C22×C5×C3⋊C8C2211yescharacteristic, complemented
30C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
31C2×C3×#681C2211yescharacteristic, complemented
32#91566—22no—
33#91466C2212yescomplemented
34#91460—21no—
35#91383C2212yescomplemented
36#91365—21no—
37C2×#6660C2212yescomplemented
38#91305—24no—
39C2×#6654C2212yescomplemented
40C3×#3967C2212yescomplemented
41C3×#3964C2212yescomplemented
42#90968C2212yescomplemented
43#90968C2212yescomplemented
44#90957C2212yescomplemented
45#90957C2212yescomplemented
46#78886—51nomaximal, Hall
47C2×#4149—31no—
48C2×C5×#135—31no—
49#66167—31no—
50C2×#4095—31no—
51#65521D311yescharacteristic, complemented
52#65476—32no—
53#65461—32no—
54#65458—32no—
55#65445—32no—
56C2×#3953—31no—
57#65399—31no—
58C23×D15—21no—
59C23×D15—22no—
60C3×C5×#41—22no—
61C3×C5×#41D414yescomplemented
62C2×C3×C5×Q8C2311yescharacteristic
63C2×C3×C5×D4—21no—
64C2×C3×C5×D4C2311yescharacteristic
65C22×C3×C4×C5—21no—
66C22×C3×C4×C5C2311yescharacteristic
67C2×#1220—22no—
68C2×#1220D412yes—
69#6821—24no—
70#6821—24no—
71D4×D15—216no—
72D4×D15—24no—
73D4×D15—24no—
74#6817—28no—
75#6817—22no—
76#6817—22no—
77C2×D60—28no—
78C2×D60—22no—
79C2×D60—21no—
80C2×D60—22no—
81C2×D60D411yescharacteristic
82C2×D60D414yescomplemented
83C2×D60C2312yes—
84C2×C4×D15—22no—
85C2×C4×D15C2312yes—
86C2×Dic30D411yescharacteristic
87C2×C5×#67—21no—
88C5×#235—22no—
89C5×#235—22no—
90C2×C5×D12C2311yescharacteristic
91C2×C4×C5×D3—21no—
92C2×C5×Dic6C2311yescharacteristic
93C22×C3×Dic5—21no—
94C2×#1203—22no—
95C5×#216—22no—
96C5×#215—22no—
97C5×#214—22no—
98C5×#213—22no—
99C2×C5×C3⋊C8—22no—
100C2×C5×C3⋊C8C2311yescharacteristic
101C2×C5×C3⋊C8C2311yescharacteristic
102C3×C4⋊Dic5—21no—
103C3×C4⋊Dic5C2312yes—
104C3×#681—22no—
105C2×C3×#168C2312yes—
106#6668—22no—
107#6667—22no—
108(C2×D3)⋊Dic5—22no—
109#6660—24no—
110#6654—24no—
111C2×#1009—51no—
112C2×#950D511yescharacteristic, complemented
113C2×#908—51no—
114#5510—51no—
115C3×#417—51no—
116#5129—51no—
117C2×#809—51no—
118#4810—52no—
119#4808—52no—
120#4776—52no—
121#4773—52no—
122C2×C5×#41—31no—
123C2×C5×#41C2×D311yescharacteristic
124#4149—64no—
125#4149—64no—
126C2×#713—32no—
127C2×D4×D5—32no—
128C2×D4×D5—62no—
129C2×#709—31no—
130C2×#709—61no—
131C22×D20—31no—
132C22×D20—61no—
133C5×#135—64no—
134C2×C5×Q16—31no—
135C2×C5×SD16—31no—
136C2×C5×SD16—31no—
137C2×C5×D8—31no—
138C22×C5×C8—31no—
139#4095—64no—
140#4092—32no—
141C2×#688—32no—
142#4085—62no—
143#4084—32no—
144C2×#686—32no—
145#4076—61no—
146C2×C4⋊Dic5C2×D311yescharacteristic, complemented
147#4070—61no—
148C2×#681C2×D311yescharacteristic, complemented
149#3967C2×D312yescomplemented
150#3964C2×D312yescomplemented
151#3953—32no—
152#3953—32no—
153#3952—32no—
154#3952—32no—
155#3012—151noSylow
156C23×C3×C5—21no—
157C23×C3×C5C2×D411yescharacteristic
158C22×D15—22no—
159C22×D15—28no—
160C22×D15—24no—
161C22×D15—82no—
162C22×D15—82no—
163C22×D15—81no—
164C22×D15—81no—
165C22×D15C2×D412yes—
166C22×C5×D3—21no—
167C3×C5×Q8—21no—
168C3×C5×Q8C2×D412yes—
169C3×C5×D4—24no—
170C3×C5×D4—21no—
171C3×C5×D4C2×D412yes—
172C2×C3×C4×C5—21no—
173C2×C3×C4×C5—24no—
174C2×C3×C4×C5C2×D411yescharacteristic
175C2×C3×C4×C5C2×D412yes—
176C2×C3×C4×C5C2×D412yes—
177C2×C3×C4×C5C2411yescharacteristic
178#1220—28no—
179#1220—24no—
180C2×Dic15C2×D412yes—
181D60—28no—
182D60—22no—
183D60—24no—
184D60—22no—
185D60C2×D414yes—
186C4×D15—28no—
187C4×D15—22no—
188C4×D15—22no—
189Dic30—22no—
190C5×#67—42no—
191C2×C5×Dic3—21no—
192C5×D12—21no—
193C5×D12—21no—
194C4×C5×D3—42no—
195C5×Dic6—21no—
196C5×Dic6—21no—
197C2×C3×Dic5—22no—
198C2×C3×Dic5—81no—
199#1203—82no—
200C3×#168—22no—
201C5×C3⋊C8—21no—
202C5×C3⋊C8—21no—
203C2×C3×#41C2×D511yescharacteristic
204#1009—104no—
205#1009—104no—
206C2×#239—52no—
207C2×D3×D4—52no—
208C2×D3×D4—102no—
209C2×#235—51no—
210C2×#235—101no—
211C2×#235C2×D511yescharacteristic, complemented
212C22×D12—51no—
213C22×D12—101no—
214C2×C3×M16—51no—
215C2×C3×C4⋊C4—51no—
216#950—24no—
217C2×#216C2×D511yescharacteristic, complemented
218C2×#215C2×D511yescharacteristic, complemented
219C2×#214C2×D511yescharacteristic, complemented
220C2×#213C2×D511yescharacteristic, complemented
221#930—102no—
222C22×C3⋊C8C2×D511yescharacteristic, complemented
223#908—104no—
224C2×D24—52no—
225C2×#204—52no—
226#897—52no—
227#897—101no—
228#895—52no—
229#895—101no—
230C3×#103—52no—
231C3×#102—52no—
232(C2×D3)⋊C8—52no—
233(C2×D3)⋊C8—52no—
234#809—52no—
235#809—52no—
236C23×D5—62no—
237C23×D5—61no—
238C5×#41—22no—
239C5×#41—62no—
240C5×#41—62no—
241C5×#41D1214yescomplemented
242C2×C5×Q8—31no—
243C2×C5×Q8C22×D311yescharacteristic
244C2×C5×D4—21no—
245C2×C5×D4—31no—
246C2×C5×D4—61no—
247C2×C5×D4C22×D311yescharacteristic
248C22×C4×C5—21no—
249C22×C4×C5—61no—
250C22×C4×C5C22×D311yescharacteristic
251C2×C22⋊D5—32no—
252C2×C22⋊D5—62no—
253C2×C22⋊D5—62no—
254C22×Dic5—21no—
255#713—64no—
256#713—64no—
257D4×D5—64no—
258D4×D5—616no—
259D4×D5—64no—
260#709—68no—
261#709—62no—
262#709—62no—
263C2×D20—34no—
264C2×D20—32no—
265C2×D20—31no—
266C2×D20—62no—
267C2×D20—68no—
268C2×D20—62no—
269C2×D20—61no—
270C2×C4×D5—32no—
271C2×C4×D5—62no—
272C2×Dic10—31no—
273C5×Q16—62no—
274C5×SD16—62no—
275C5×SD16—62no—
276C5×D8—62no—
277C2×C5×C8—31no—
278C2×C5×C8—31no—
279C2×C5×C8—62no—
280C22⋊Dic5—62no—
281#688—64no—
282#686—64no—
283#685—62no—
284C4⋊Dic5—21no—
285C4⋊Dic5C22×D312yes—
286#683—62no—
287#681—22no—
288C2×#168C22×D312yes—
289C2×H(5,𝔽2)—151no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135—31no—
292#537—151no—
293#452—152no—
294#450—152no—
295#449—152no—
296#447—152no—
297#417—51no—
298C2×#102—151no—
299#408—151no—
300C22×C3×C5—21no—
301C22×C3×C5—21no—
302C22×C3×C5—22no—
303C22×C3×C5—41no—
304C22×C3×C5—41no—
305C22×C3×C5#12012yes—
306C22×C3×C5C22×D411yescharacteristic
307C2×D15—22no—
308C2×D15—24no—
309C2×D15—22no—
310C2×D15—22no—
311C2×D15—42no—
312C2×D15—42no—
313C2×D15—84no—
314C2×D15—88no—
315C2×C5×D3—41no—
316C2×C5×D3—41no—
317C2×C5×D3—41no—
318C3×C4×C5—22no—
319C3×C4×C5#12012yes—
320C3×C4×C5C22×D411yescharacteristic
321C3×C4×C5C22×D411yescharacteristic
322Dic15—22no—
323C3×Dic5—42no—
324C5×Dic3—41no—
325C23×D3—102no—
326C23×D3—101no—
327C3×#41—22no—
328C3×#41C22⋊D514yescomplemented
329C2×C3×Q8C22×D511yescharacteristic
330C2×C3×D4—21no—
331C2×C3×D4C22×D511yescharacteristic
332C22×C3×C4—21no—
333C22×C3×C4—101no—
334C22×C3×C4C22×D511yescharacteristic
335C2×#67—21no—
336C2×#67—52no—
337C2×#67—102no—
338#239—104no—
339#239—104no—
340D3×D4—104no—
341D3×D4—1016no—
342D3×D4—104no—
343#235—22no—
344#235—22no—
345#235—108no—
346#235—102no—
347#235—102no—
348C2×D12—54no—
349C2×D12—52no—
350C2×D12—51no—
351C2×D12—102no—
352C2×D12—108no—
353C2×D12—101no—
354C2×D12—102no—
355C2×D12—102no—
356C2×D12C22×D511yescharacteristic
357C2×C4×D3—21no—
358C2×C4×D3—52no—
359C2×C4×D3—102no—
360C2×Dic6—51no—
361C2×Dic6C22×D511yescharacteristic
362C3×M16—102no—
363C2×C3×C8—52no—
364C3×C4⋊C4—52no—
365C3×C4⋊C4—101no—
366#216—22no—
367#215—22no—
368#214—22no—
369#213—22no—
370(C2×D3)⋊C4—102no—
371(C2×D3)⋊C4—102no—
372C4⋊Dic3—102no—
373C2×C3⋊C8—22no—
374C2×C3⋊C8C22×D511yescharacteristic
375C2×C3⋊C8C22×D511yescharacteristic
376D24—104no—
377#204—104no—
378C23×C5—21no—
379C23×C5—61no—
380C23×C5D3×D411yescharacteristic
381C22×D5—32no—
382C22×D5—62no—
383C22×D5—68no—
384C22×D5—64no—
385C22×D5—242no—
386C22×D5—242no—
387C22×D5—241no—
388C22×D5—241no—
389C5×Q8—21no—
390C5×Q8—61no—
391C5×Q8—61no—
392C5×Q8C2×D1212yes—
393C5×D4—24no—
394C5×D4—21no—
395C5×D4—61no—
396C5×D4—61no—
397C5×D4—122no—
398C5×D4C2×D1212yes—
399C2×C4×C5—21no—
400C2×C4×C5—24no—
401C2×C4×C5—61no—
402C2×C4×C5—122no—
403C2×C4×C5C2×D1212yes—
404C2×C4×C5D3×D411yescharacteristic
405C2×C4×C5D3×D412yes—
406C2×C4×C5C23×D311yescharacteristic
407C22⋊D5—68no—
408C22⋊D5—64no—
409C22⋊D5—242no—
410C2×Dic5—22no—
411C2×Dic5—32no—
412C2×Dic5—81no—
413D20—34no—
414D20—68no—
415D20—64no—
416D20—62no—
417D20—62no—
418C4×D5—68no—
419C4×D5—62no—
420C4×D5—62no—
421Dic10—62no—
422C5×C8—61no—
423C5×C8—61no—
424#168—22no—
425H(5,𝔽2)—304no—
426H(5,𝔽2)—304no—
427C2×#41—31no—
428C2×#41—151no—
429C2×#41—152no—
430C2×#41—301no—
431C2×#41D3×D511yescharacteristic
432C22×D4—152no—
433C22×D4—151no—
434C22×D4—301no—
435C22×D4—302no—
436AGL(1,ℤ/8)—304no—
437#135—64no—
438C2×Q16—31no—
439C2×SD16—31no—
440C2×SD16—31no—
441C2×SD16—152no—
442C2×D8—31no—
443C2×D8—152no—
444C2×M16—51no—
445C22×C8—31no—
446C22⋊Q8—152no—
447C22⋊Q8—301no—
448#121—152no—
449#121—301no—
450#121—302no—
451C2×C4⋊C4—51no—
452#103—52no—
453#102—52no—
454#102—152no—
455#102—152no—
456C22⋊C8—152no—
457C22⋊C8—152no—
458C2×C3×C5—22no—
459C2×C3×C5—42no—
460C2×C3×C5C2×#12011yescharacteristic
461C2×C3×C5#57611yescharacteristic
462C2×C3×C5#57711yescharacteristic
463D15—42no—
464D15—44no—
465C5×D3—81no—
466C23×C3—21no—
467C23×C3D4×D511yescharacteristic
468C22×D3—21no—
469C22×D3—52no—
470C22×D3—102no—
471C22×D3—108no—
472C22×D3—104no—
473C22×D3—402no—
474C22×D3—402no—
475C22×D3—401no—
476C22×D3—401no—
477C3×Q8—21no—
478C3×Q8C2×C22⋊D512yes—
479C3×D4—24no—
480C3×D4—21no—
481C3×D4C2×C22⋊D512yes—
482C2×C3×C4—21no—
483C2×C3×C4—24no—
484C2×C3×C4—102no—
485C2×C3×C4—401no—
486C2×C3×C4D4×D512yes—
487C2×C3×C4D4×D511yescharacteristic
488C2×C3×C4C2×C22⋊D512yes—
489C2×C3×C4C23×D511yescharacteristic
490#67—42no—
491#67—108no—
492#67—104no—
493C2×Dic3—21no—
494C2×Dic3—52no—
495D12—21no—
496D12—21no—
497D12—54no—
498D12—108no—
499D12—102no—
500D12—104no—
501D12—102no—
502D12—402no—
503C4×D3—42no—
504C4×D3—108no—
505C4×D3—102no—
506C4×D3—102no—
507Dic6—21no—
508Dic6—21no—
509Dic6—102no—
510C3×C8—102no—
511C3⋊C8—21no—
512C3⋊C8—21no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—22no—
516C22×C5—41no—
517C22×C5—41no—
518C22×C5—121no—
519C22×C5—121no—
520C22×C5—121no—
521C22×C5#88212yes—
522C22×C5C2×D3×D411yescharacteristic
523C2×D5—64no—
524C2×D5—62no—
525C2×D5—62no—
526C2×D5—62no—
527C2×D5—122no—
528C2×D5—122no—
529C2×D5—244no—
530C2×D5—248no—
531C4×C5—22no—
532C4×C5—121no—
533C4×C5#88212yes—
534C4×C5C22×D1211yescharacteristic
535C4×C5C2×D3×D411yescharacteristic
536Dic5—42no—
537Dic5—62no—
538C24—302no—
539C24—301no—
540#41—22no—
541#41—62no—
542#41—62no—
543#41—308no—
544#41—304no—
545#41—304no—
546#41—302no—
547#41—302no—
548#41#120314yescomplemented
549C2×Q8—31no—
550C2×Q8—151no—
551C2×Q8C2×D3×D511yescharacteristic
552C2×D4—21no—
553C2×D4—31no—
554C2×D4—61no—
555C2×D4—152no—
556C2×D4—154no—
557C2×D4—151no—
558C2×D4—152no—
559C2×D4—302no—
560C2×D4—308no—
561C2×D4—302no—
562C2×D4—302no—
563C2×D4—304no—
564C2×D4—3016no—
565C2×D4—304no—
566C2×D4—302no—
567C2×D4—301no—
568C2×D4C2×D3×D511yescharacteristic
569C22×C4—21no—
570C22×C4—61no—
571C22×C4—101no—
572C22×C4—152no—
573C22×C4—302no—
574C22×C4C2×D3×D511yescharacteristic
575Q16—62no—
576SD16—62no—
577SD16—62no—
578SD16—304no—
579D8—62no—
580D8—304no—
581M16—102no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—52no—
585C2×C8—62no—
586C4⋊C4—52no—
587C4⋊C4—101no—
588C4⋊C4—302no—
589C22⋊C4—302no—
590C22⋊C4—302no—
591C3×C5#301211yescharacteristic, complemented, Hall
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—22no—
595C22×C3—41no—
596C22×C3—41no—
597C22×C3#408312yes—
598C22×C3C2×D4×D511yescharacteristic
599C2×D3—41no—
600C2×D3—41no—
601C2×D3—41no—
602C2×D3—102no—
603C2×D3—102no—
604C2×D3—104no—
605C2×D3—102no—
606C2×D3—202no—
607C2×D3—202no—
608C2×D3—404no—
609C2×D3—408no—
610C3×C4—22no—
611C3×C4—202no—
612C3×C4#408312yes—
613C3×C4C2×D4×D511yescharacteristic
614C3×C4C22×C22⋊D511yescharacteristic
615Dic3—41no—
616Dic3—102no—
617C2×C5—22no—
618C2×C5—42no—
619C2×C5—241no—
620C2×C5C2×#88211yescharacteristic
621C2×C5#577411yescharacteristic
622C2×C5#577811yescharacteristic
623D5—122no—
624D5—124no—
625C23—21no—
626C23—61no—
627C23—152no—
628C23—308no—
629C23—302no—
630C23—304no—
631C23—1201no—
632C23—1201no—
633C23—1202no—
634C23—1202no—
635C23#679011yescharacteristic
636Q8—21no—
637Q8—61no—
638Q8—61no—
639Q8—302no—
640Q8C2×#120312yes—
641D4—24no—
642D4—21no—
643D4—61no—
644D4—61no—
645D4—122no—
646D4—154no—
647D4—308no—
648D4—308no—
649D4—304no—
650D4—302no—
651D4—304no—
652D4—302no—
653D4—1202no—
654D4C2×#120312yes—
655C2×C4—21no—
656C2×C4—24no—
657C2×C4—61no—
658C2×C4—102no—
659C2×C4—122no—
660C2×C4—152no—
661C2×C4—308no—
662C2×C4—302no—
663C2×C4—302no—
664C2×C4—401no—
665C2×C4C2×#120312yes—
666C2×C4#679012yes—
667C2×C4#679011yescharacteristic
668C2×C4C22×D3×D511yescharacteristic
669C8—61no—
670C8—61no—
671C8—102no—
672C2×C3—22no—
673C2×C3—42no—
674C2×C3#6610311yescharacteristic
675C2×C3#6610411yescharacteristic
676C2×C3C2×#408311yescharacteristic
677D3—81no—
678D3—202no—
679D3—204no—
680C5#7888611yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—22no—
684C22—41no—
685C22—41no—
686C22—121no—
687C22—121no—
688C22—121no—
689C22—302no—
690C22—302no—
691C22—304no—
692C22—302no—
693C22—602no—
694C22—602no—
695C22—1204no—
696C22—1208no—
697C22#9157312yes—
698C22C2×#679011yescharacteristic
699C4—22no—
700C4—121no—
701C4—202no—
702C4—302no—
703C4#9157312yes—
704C4C22×#120311yescharacteristic
705C4C2×#679011yescharacteristic
706C3#1061564311yescharacteristic, complemented, Sylow
707C2—22no—
708C2—42no—
709C2—241no—
710C2—602no—
711C2—604no—
712C2#1175533011yescharacteristic
713C2#1175535411yescharacteristic
714C2C2×#9157311yescharacteristic
subgroupG/H
centerC22C2×#6790
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC22×C3×C5C22×D4
hypercenterC2×#41D3×D5
hypocenterC3×C5#3012
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×#92100C2semidirect
2. C2×C5×#950C2semidirect
3. #11754603C2semidirect
4. C2×#91305C2semidirect
5. C3×#65521C2semidirect
6. #11749307C2semidirect
7. #11749289C2semidirect
8. #11749062C2semidirect
9. #11749041C2semidirect
10. C2×#90968C2semidirect
11. #11748350C2semidirect
23. C2×C5×#235C22semidirect
25. C2×C5×#216C22semidirect
26. C2×C5×#215C22semidirect
27. C2×C5×#214C22semidirect
28. C2×C5×#213C22semidirect
29. C22×C5×C3⋊C8C22semidirect
30. C2×C3×C4⋊Dic5C22semidirect
31. C2×C3×#681C22semidirect
33. #91466C22semidirect
35. #91383C22semidirect
37. C2×#6660C22semidirect
39. C2×#6654C22semidirect
40. C3×#3967C22semidirect
41. C3×#3964C22semidirect
42. #90968C22semidirect
43. #90968C22semidirect
44. #90957C22semidirect
45. #90957C22semidirect
51. #65521D3semidirect
61. C3×C5×#41D4semidirect
82. C2×D60D4semidirect
112. C2×#950D5semidirect
146. C2×C4⋊Dic5C2×D3semidirect
148. C2×#681C2×D3semidirect
149. #3967C2×D3semidirect
150. #3964C2×D3semidirect
211. C2×#235C2×D5semidirect
217. C2×#216C2×D5semidirect
218. C2×#215C2×D5semidirect
219. C2×#214C2×D5semidirect
220. C2×#213C2×D5semidirect
222. C22×C3⋊C8C2×D5semidirect
241. C5×#41D12semidirect
328. C3×#41C22⋊D5semidirect
548. #41#1203semidirect
591. C3×C5#3012semidirect
680. C5#78886semidirect
706. C3#10615643semidirect

Maximal subgroups

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

subgroupindex
C2×#921002
C2×C5×#9502
#117546032
C2×#913052
C3×#655212
#117493072
#117492892
#117490622
#117490412
C2×#909682
#117483502
#106156433
#788865