Finite Group Databasebeta

← D5×#5594 #14495260

Subgroups — D5×#5594 #14495260

Order 1920.

2816 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756353C211yesmaximal, characteristic, complemented
2C5×#5594C211yesmaximal, characteristic, complemented
3C3×D5×#120C211yesmaximal, characteristic, complemented
4#11755443C212yesmaximal, complemented
5D5×#953C212yesmaximal, complemented
6D5×#937C213yesmaximal, complemented
7#11754993C213yesmaximal, complemented
8#11754983C213yesmaximal, complemented
9D5×#936C213yesmaximal, complemented
10#11753299C216yesmaximal, complemented
11D5×#885C216yesmaximal, complemented
12D5×H(3,𝔽4)—31nomaximal, Hall
13C24×C3×D5C2211yescharacteristic, complemented
14C23×D3×D5C2211yescharacteristic, complemented
15C2×C3×D4×D5C2213yes—
16C2×D5×#67C2216yes—
17C2×D5×Dic6C2213yescomplemented
18C3×C5×#120C2211yescharacteristic, complemented
19#91842C2212yescomplemented
20#91826C2213yescomplemented
21#91825C2213yescomplemented
22#91774C2216yescomplemented
23C5×#953C2212yescomplemented
24C5×#937C2213yescomplemented
25C5×#936C2213yescomplemented
26C5×#885C2216yescomplemented
27C3×#4099C2211yescharacteristic, complemented
28C3×#4083C2213yescomplemented
29C3×#4028C2213yescomplemented
30C3×D5×C22⋊C4C2213yescomplemented
31#91577C2216yescomplemented
32#91572C2213yescomplemented
33#91568C2213yescomplemented
34#91564C2216yescomplemented
35#91563C2216yescomplemented
36D5×#217C2216yescomplemented
37D5×#217C2213yescomplemented
38#91534C2216yescomplemented
39#91534C2216yescomplemented
40#91526C2216yescomplemented
41#91525C2216yescomplemented
42#91474C2216yescomplemented
43D5×(C2×D3)⋊C4C2216yescomplemented
44#91464C2216yescomplemented
45#91462C2216yescomplemented
46#91455C2216yescomplemented
47C4×D5×Dic3C2213yescomplemented
48#91368C2213yescomplemented
49#91364C2213yescomplemented
50#91353C2216yescomplemented
51C2×#5594—51nomaximal, Hall
52C5×H(3,𝔽4)—31no—
53#66017—33no—
54#66017—36no—
55D5×#124—36no—
56D5×#124—33no—
57#65928—33no—
58#65928—31no—
59#65928—32no—
60D5×#120—32no—
61D5×#120—33no—
62D5×#120D311yescharacteristic, complemented
63C24×C3×C5C2311yescharacteristic, complemented
64C23×D15C2311yescharacteristic, complemented
65C23×C5×D3C2311yescharacteristic, complemented
66C23×C3×D5—46no—
67C23×C3×D5C2313yes—
68C23×C3×D5C2311yescharacteristic
69C23×C3×D5C2313yescomplemented
70C22×D3×D5—46no—
71C22×D3×D5C2312yes—
72C22×D3×D5C2312yescomplemented
73C2×C3×C5×D4C2313yes—
74C2×#1220C2316yes—
75C2×Dic30C2313yescomplemented
76C2×C5×#67C2316yes—
77C2×C5×Dic6C2313yescomplemented
78C2×C3×C22⋊D5C2313yes—
79C2×C3×C22⋊D5C2313yes—
80C3×D4×D5—46no—
81C2×C3×D20C2313yes—
82C2×C3×C4×D5C2313yes—
83D5×#67—412no—
84C2×#1204C2316yescomplemented
85C2×#1202C2316yes—
86C2×#1201C2316yes—
87C2×D5×Dic3C2316yes—
88D5×Dic6—46no—
89C3×C5×C22⋊C4C2313yescomplemented
90#6719C2316yescomplemented
91#6719C2313yescomplemented
92#6714C2316yescomplemented
93C4×Dic15C2313yescomplemented
94C5×#217C2316yescomplemented
95C5×#217C2313yescomplemented
96C5×(C2×D3)⋊C4C2316yescomplemented
97C4×C5×Dic3C2313yescomplemented
98C3×C22⋊Dic5C2313yescomplemented
99C3×#685C2316yescomplemented
100#6667C2316yescomplemented
101(C2×D3)⋊Dic5C2316yescomplemented
102#6665C2316yescomplemented
103#6665C2316yescomplemented
104#6665C2316yescomplemented
105Dic3×Dic5C2316yescomplemented
106C2×C3×#120—51no—
107C2×#953—52no—
108C2×#937—53no—
109C2×#936—53no—
110#5594—51no—
111#5594—52no—
112#5594—53no—
113#5594—53no—
114#5594—56no—
115#5594D511yescharacteristic, direct product factor
116C2×#885—56no—
117C24×D5—31no—
118C24×D5C2×D311yescharacteristic, complemented
119C2×Q8×D5—33no—
120C2×D4×D5—36no—
121C2×D4×D5C2×D313yes—
122C5×#124—33no—
123C5×#124—36no—
124C5×#120—32no—
125C5×#120—33no—
126C5×#120C2×D311yescharacteristic, complemented
127#4099—32no—
128#4099—33no—
129#4099C2×D311yescharacteristic, complemented
130#4093—33no—
131#4093—36no—
132#4083—36no—
133#4083—33no—
134#4083—36no—
135#4083C2×D313yescomplemented
136#4082—33no—
137#4082—36no—
138#4031—36no—
139#4031—36no—
140#4031—36no—
141#4031—36no—
142#4031—36no—
143#4031—36no—
144#4028—36no—
145#4028—33no—
146#4028—36no—
147#4028C2×D313yescomplemented
148D5×C22⋊C4—36no—
149D5×C22⋊C4—33no—
150D5×C22⋊C4—36no—
151D5×C22⋊C4C2×D313yescomplemented
152#4021—33no—
153#4021—36no—
154C42×D5—33no—
155C2×H(3,𝔽4)—151noSylow
156C23×C3×C5—43no—
157C23×C3×C5C2413yes—
158C23×C3×C5C2411yescharacteristic
159C22×D15—43no—
160C22×D15C2412yes—
161C22×C5×D3—43no—
162C22×C5×D3C2412yes—
163C22×C3×D5—212no—
164C22×C3×D5—26no—
165C22×C3×D5—26no—
166C22×C3×D5—43no—
167C22×C3×D5—46no—
168C22×C3×D5—416no—
169C22×C3×D5C2411yescharacteristic
170C22×C3×D5C2413yes—
171C22×C3×D5C2411yescharacteristic
172C2×D3×D5—212no—
173C2×D3×D5—46no—
174C2×D3×D5—416no—
175C3×C5×D4—43no—
176C2×C3×C4×C5C2413yes—
177#1220—46no—
178C2×Dic15C2416yes—
179Dic30—43no—
180C5×#67—46no—
181C2×C5×Dic3C2416yes—
182C5×Dic6—43no—
183C3×C22⋊D5—43no—
184C3×C22⋊D5—43no—
185C2×C3×Dic5C2413yes—
186C3×D20—43no—
187C3×C4×D5—26no—
188#1204—46no—
189#1202—46no—
190#1201—46no—
191D5×Dic3—212no—
192C25×C3—51no—
193C24×D3—51no—
194C22×C3×D4—53no—
195C22×#67—56no—
196C22×Dic6—53no—
197C3×#120—51no—
198C3×#120—53no—
199C3×#120—53no—
200C3×#120C2×D511yescharacteristic, complemented
201C2×C3×C22⋊C4—53no—
202#953—52no—
203#953—56no—
204#953—56no—
205#953C2×D512yescomplemented
206C2×#217—56no—
207C2×#217—53no—
208#937—53no—
209#937—53no—
210#937—56no—
211#937—53no—
212#937—56no—
213#937C2×D513yescomplemented
214#936—53no—
215#936—53no—
216#936—56no—
217#936—56no—
218#936—53no—
219#936C2×D513yescomplemented
220C2×(C2×D3)⋊C4—56no—
221C2×C4×Dic3—53no—
222#885—56no—
223#885—56no—
224#885—56no—
225#885—56no—
226#885—56no—
227#885—56no—
228#885—56no—
229#885C2×D516yescomplemented
230C24×C5—31no—
231C24×C5C22×D311yescharacteristic, complemented
232C23×D5—31no—
233C23×D5—32no—
234C23×D5—32no—
235C23×D5—46no—
236C23×D5—126no—
237C23×D5C22×D313yes—
238C23×D5C22×D311yescharacteristic
239C23×D5C22×D313yescomplemented
240C2×C5×Q8—33no—
241C2×C5×D4—36no—
242C2×C5×D4C22×D313yes—
243C2×C22⋊D5—36no—
244C2×C22⋊D5—36no—
245C2×C22⋊D5C22×D313yes—
246C2×C22⋊D5C22×D313yes—
247Q8×D5—126no—
248D4×D5—46no—
249D4×D5—1212no—
250C2×D20—36no—
251C2×D20C22×D313yes—
252C2×C4×D5—36no—
253C2×C4×D5C22×D313yes—
254C2×Dic10—33no—
255C2×Dic10—36no—
256C5×C22⋊C4—33no—
257C5×C22⋊C4—36no—
258C5×C22⋊C4—36no—
259C5×C22⋊C4C22×D313yescomplemented
260C42×C5—33no—
261C22⋊Dic5—33no—
262C22⋊Dic5—36no—
263C22⋊Dic5—36no—
264C22⋊Dic5C22×D313yescomplemented
265#685—36no—
266#685—36no—
267#685—36no—
268#685—36no—
269#685—36no—
270#685C22×D316yescomplemented
271C4×Dic5—33no—
272C4×Dic5—36no—
273H(3,𝔽4)—31no—
274H(3,𝔽4)—152no—
275H(3,𝔽4)—153no—
276H(3,𝔽4)—153no—
277H(3,𝔽4)—156no—
278H(3,𝔽4)—151no—
279C2×#124—156no—
280C2×#124—153no—
281C2×#120—51no—
282C2×#120—153no—
283C2×#120—152no—
284C22×C3×C5—23no—
285C22×C3×C5—23no—
286C22×C3×C5—26no—
287C22×C3×C5—44no—
288C22×C3×C5C2511yescharacteristic
289C2×D15—26no—
290C2×D15—44no—
291C2×C5×D3—26no—
292C2×C5×D3—44no—
293C2×C3×D5—26no—
294C2×C3×D5—23no—
295C2×C3×D5—23no—
296C2×C3×D5—412no—
297C2×C3×D5—44no—
298C2×C3×D5—412no—
299C2×C3×D5H(5,𝔽2)16yes—
300D3×D5—48no—
301D3×D5—48no—
302C3×C4×C5—23no—
303Dic15—26no—
304C3×Dic5—23no—
305C5×Dic3—26no—
306C24×C3—53no—
307C24×C3—51no—
308C24×C3—53no—
309C24×C3—206no—
310C24×C3C22×D511yescharacteristic, complemented
311C23×D3—51no—
312C23×D3—52no—
313C23×D3—52no—
314C23×D3—206no—
315C23×D3C22×D511yescharacteristic, complemented
316C2×C3×D4—53no—
317C2×C3×D4—53no—
318C2×C3×D4—53no—
319C2×C3×D4—206no—
320C2×C3×D4C22×D513yes—
321C22×C3×C4—53no—
322C2×#67—56no—
323C2×#67—56no—
324C2×#67—56no—
325C2×#67—2012no—
326C2×#67C22×D516yes—
327C22×Dic3—56no—
328C2×Dic6—53no—
329C2×Dic6—56no—
330C2×Dic6—206no—
331C2×Dic6C22×D513yescomplemented
332C3×C22⋊C4—53no—
333C3×C22⋊C4—56no—
334C3×C22⋊C4C22×D513yescomplemented
335#217—56no—
336#217—53no—
337#217—56no—
338#217—56no—
339#217—56no—
340#217C22×D516yescomplemented
341#217C22×D513yescomplemented
342(C2×D3)⋊C4—56no—
343(C2×D3)⋊C4—56no—
344(C2×D3)⋊C4—56no—
345(C2×D3)⋊C4C22×D516yescomplemented
346C4×Dic3—53no—
347C4×Dic3—56no—
348C4×Dic3C22×D513yescomplemented
349C23×C5—32no—
350C23×C5—43no—
351C23×C5—123no—
352C23×C5C23×D311yescharacteristic
353C23×C5C23×D313yes—
354C22×D5—26no—
355C22×D5—26no—
356C22×D5—212no—
357C22×D5—32no—
358C22×D5—46no—
359C22×D5—43no—
360C22×D5—416no—
361C22×D5—612no—
362C22×D5—126no—
363C22×D5—1216no—
364C22×D5—123no—
365C22×D5C23×D311yescharacteristic
366C22×D5C23×D313yes—
367C22×D5C23×D311yescharacteristic
368C5×Q8—123no—
369C5×D4—43no—
370C5×D4—126no—
371C2×C4×C5—36no—
372C2×C4×C5C23×D313yes—
373C22⋊D5—43no—
374C22⋊D5—43no—
375C22⋊D5—126no—
376C22⋊D5—126no—
377C2×Dic5—36no—
378C2×Dic5C23×D313yes—
379D20—43no—
380D20—126no—
381C4×D5—26no—
382C4×D5—612no—
383Dic10—126no—
384Dic10—123no—
385C25—51no—
386C25—151no—
387C22×Q8—153no—
388C22×D4—53no—
389C22×D4—156no—
390#124—33no—
391#124—36no—
392#124—156no—
393#124—153no—
394#124—156no—
395#124—156no—
396#124—156no—
397#124—156no—
398#124—156no—
399#124—156no—
400#124—156no—
401#124—153no—
402#124—153no—
403#124—156no—
404#120—32no—
405#120—33no—
406#120—51no—
407#120—53no—
408#120—53no—
409#120—153no—
410#120—156no—
411#120—156no—
412#120—156no—
413#120—156no—
414#120—153no—
415#120—152no—
416#120—153no—
417#120D3×D511yescharacteristic, complemented
418C2×C22⋊C4—53no—
419C2×C22⋊C4—156no—
420C2×C22⋊C4—156no—
421C2×C22⋊C4—153no—
422C2×C42—153no—
423C2×C3×C5—43no—
424C2×C3×C5—41no—
425C2×C3×C5C2×H(5,𝔽2)13yes—
426D15—42no—
427C3×D5—41no—
428C3×D5—43no—
429C3×D5H(3,𝔽4)14yescomplemented
430C5×D3—42no—
431C23×C3—43no—
432C23×C3—51no—
433C23×C3—51no—
434C23×C3—53no—
435C23×C3—1012no—
436C23×C3—106no—
437C23×C3—106no—
438C23×C3—206no—
439C23×C3—203no—
440C23×C3—2016no—
441C23×C3C23×D511yescharacteristic
442C23×C3C23×D513yes—
443C22×D3—43no—
444C22×D3—52no—
445C22×D3—1012no—
446C22×D3—206no—
447C22×D3—2016no—
448C22×D3—203no—
449C22×D3C23×D512yes—
450C3×D4—43no—
451C3×D4—203no—
452C3×D4—203no—
453C3×D4—203no—
454C2×C3×C4—53no—
455C2×C3×C4—106no—
456C2×C3×C4C23×D513yes—
457#67—46no—
458#67—206no—
459#67—206no—
460#67—206no—
461C2×Dic3—56no—
462C2×Dic3—1012no—
463C2×Dic3C23×D516yes—
464Dic6—43no—
465Dic6—206no—
466Dic6—203no—
467C22×C5—23no—
468C22×C5—23no—
469C22×C5—26no—
470C22×C5—44no—
471C22×C5—66no—
472C22×C5—124no—
473C22×C5C24×D311yescharacteristic
474C2×D5—23no—
475C2×D5—23no—
476C2×D5—26no—
477C2×D5—412no—
478C2×D5—412no—
479C2×D5—44no—
480C2×D5—66no—
481C2×D5—128no—
482C2×D5—124no—
483C2×D5—128no—
484C2×D5#100416yes—
485C4×C5—23no—
486C4×C5—66no—
487Dic5—23no—
488Dic5—66no—
489C24—31no—
490C24—53no—
491C24—51no—
492C24—53no—
493C24—152no—
494C24—152no—
495C24—151no—
496C24—206no—
497C24—606no—
498C24C2×D3×D511yescharacteristic, complemented
499C2×Q8—33no—
500C2×Q8—156no—
501C2×Q8—153no—
502C2×Q8—606no—
503C2×D4—36no—
504C2×D4—53no—
505C2×D4—53no—
506C2×D4—53no—
507C2×D4—156no—
508C2×D4—156no—
509C2×D4—156no—
510C2×D4—206no—
511C2×D4—6012no—
512C2×D4C2×D3×D513yes—
513C22×C4—53no—
514C22×C4—156no—
515C22⋊C4—33no—
516C22⋊C4—36no—
517C22⋊C4—36no—
518C22⋊C4—53no—
519C22⋊C4—56no—
520C22⋊C4—156no—
521C22⋊C4—156no—
522C22⋊C4—156no—
523C22⋊C4—156no—
524C22⋊C4—156no—
525C22⋊C4—153no—
526C22⋊C4—156no—
527C22⋊C4—156no—
528C22⋊C4C2×D3×D513yescomplemented
529C42—33no—
530C42—156no—
531C42—153no—
532C3×C5C2×H(3,𝔽4)11yescharacteristic, complemented, Hall
533C22×C3—26no—
534C22×C3—23no—
535C22×C3—23no—
536C22×C3—44no—
537C22×C3—56no—
538C22×C3—106no—
539C22×C3—103no—
540C22×C3—103no—
541C22×C3—204no—
542C22×C3—2012no—
543C22×C3—2012no—
544C22×C3C24×D511yescharacteristic
545C2×D3—26no—
546C2×D3—44no—
547C2×D3—106no—
548C2×D3—208no—
549C2×D3—208no—
550C2×D3—204no—
551C3×C4—23no—
552C3×C4—103no—
553Dic3—26no—
554Dic3—106no—
555C2×C5—43no—
556C2×C5—41no—
557C2×C5—122no—
558C2×C5C2×#100413yes—
559D5—43no—
560D5—41no—
561D5—122no—
562D5#559414yesdirect product factor
563C23—32no—
564C23—43no—
565C23—51no—
566C23—53no—
567C23—51no—
568C23—106no—
569C23—106no—
570C23—1012no—
571C23—123no—
572C23—152no—
573C23—203no—
574C23—206no—
575C23—2016no—
576C23—3012no—
577C23—603no—
578C23—606no—
579C23—6016no—
580C23C22×D3×D511yescharacteristic
581C23C22×D3×D513yes—
582Q8—123no—
583Q8—603no—
584Q8—606no—
585D4—43no—
586D4—126no—
587D4—203no—
588D4—203no—
589D4—203no—
590D4—606no—
591D4—606no—
592D4—606no—
593C2×C4—36no—
594C2×C4—53no—
595C2×C4—106no—
596C2×C4—156no—
597C2×C4—3012no—
598C2×C4C22×D3×D513yes—
599C2×C3—41no—
600C2×C3—43no—
601C2×C3—54no—
602C2×C3—201no—
603C2×C3—203no—
604C2×C3D5×H(5,𝔽2)13yes—
605D3—42no—
606D3—202no—
607C5C2×#559411yescharacteristic, complemented, Sylow
608C22—23no—
609C22—23no—
610C22—26no—
611C22—44no—
612C22—56no—
613C22—66no—
614C22—103no—
615C22—103no—
616C22—106no—
617C22—124no—
618C22—2012no—
619C22—204no—
620C22—2012no—
621C22—306no—
622C22—604no—
623C22—608no—
624C22—608no—
625C22C23×D3×D511yescharacteristic
626C4—23no—
627C4—66no—
628C4—103no—
629C4—306no—
630C3D5×H(3,𝔽4)11yescharacteristic, complemented, Sylow
631C2—43no—
632C2—41no—
633C2—54no—
634C2—122no—
635C2—203no—
636C2—201no—
637C2—602no—
638C2D5×#100413yes—
subgroupG/H
center, FrattiniC22C23×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FittingC3×C5×#120C22
hypercenter#120D3×D5
hypocenterC3×C5C2×H(3,𝔽4)
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ #120

Complements

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

NH ≅ G/Ntype
1. #11756353C2semidirect
2. C5×#5594C2semidirect
3. C3×D5×#120C2semidirect
4. #11755443C2semidirect
5. D5×#953C2semidirect
6. D5×#937C2semidirect
7. #11754993C2semidirect
8. #11754983C2semidirect
9. D5×#936C2semidirect
10. #11753299C2semidirect
11. D5×#885C2semidirect
13. C24×C3×D5C22semidirect
14. C23×D3×D5C22semidirect
17. C2×D5×Dic6C22semidirect
18. C3×C5×#120C22semidirect
19. #91842C22semidirect
20. #91826C22semidirect
21. #91825C22semidirect
22. #91774C22semidirect
23. C5×#953C22semidirect
24. C5×#937C22semidirect
25. C5×#936C22semidirect
26. C5×#885C22semidirect
27. C3×#4099C22semidirect
28. C3×#4083C22semidirect
29. C3×#4028C22semidirect
30. C3×D5×C22⋊C4C22semidirect
31. #91577C22semidirect
32. #91572C22semidirect
33. #91568C22semidirect
34. #91564C22semidirect
35. #91563C22semidirect
36. D5×#217C22semidirect
37. D5×#217C22semidirect
38. #91534C22semidirect
39. #91534C22semidirect
40. #91526C22semidirect
41. #91525C22semidirect
42. #91474C22semidirect
43. D5×(C2×D3)⋊C4C22semidirect
44. #91464C22semidirect
45. #91462C22semidirect
46. #91455C22semidirect
47. C4×D5×Dic3C22semidirect
48. #91368C22semidirect
49. #91364C22semidirect
50. #91353C22semidirect
62. D5×#120D3semidirect
63. C24×C3×C5C23semidirect
64. C23×D15C23semidirect
65. C23×C5×D3C23semidirect
69. C23×C3×D5C23semidirect
72. C22×D3×D5C23semidirect
75. C2×Dic30C23semidirect
77. C2×C5×Dic6C23semidirect
84. C2×#1204C23semidirect
89. C3×C5×C22⋊C4C23semidirect
90. #6719C23semidirect
91. #6719C23semidirect
92. #6714C23semidirect
93. C4×Dic15C23semidirect
94. C5×#217C23semidirect
95. C5×#217C23semidirect
96. C5×(C2×D3)⋊C4C23semidirect
97. C4×C5×Dic3C23semidirect
98. C3×C22⋊Dic5C23semidirect
99. C3×#685C23semidirect
100. #6667C23semidirect
101. (C2×D3)⋊Dic5C23semidirect
102. #6665C23semidirect
103. #6665C23semidirect
104. #6665C23semidirect
105. Dic3×Dic5C23semidirect
115. #5594D5direct (N × H)
118. C24×D5C2×D3semidirect
126. C5×#120C2×D3semidirect
129. #4099C2×D3semidirect
135. #4083C2×D3semidirect
147. #4028C2×D3semidirect
151. D5×C22⋊C4C2×D3semidirect
200. C3×#120C2×D5semidirect
205. #953C2×D5semidirect
213. #937C2×D5semidirect
219. #936C2×D5semidirect
229. #885C2×D5semidirect
231. C24×C5C22×D3semidirect
239. C23×D5C22×D3semidirect
259. C5×C22⋊C4C22×D3semidirect
264. C22⋊Dic5C22×D3semidirect
270. #685C22×D3semidirect
310. C24×C3C22×D5semidirect
315. C23×D3C22×D5semidirect
331. C2×Dic6C22×D5semidirect
334. C3×C22⋊C4C22×D5semidirect
340. #217C22×D5semidirect
341. #217C22×D5semidirect
345. (C2×D3)⋊C4C22×D5semidirect
348. C4×Dic3C22×D5semidirect
417. #120D3×D5semidirect
429. C3×D5H(3,𝔽4)semidirect
498. C24C2×D3×D5semidirect
528. C22⋊C4C2×D3×D5semidirect
532. C3×C5C2×H(3,𝔽4)semidirect
562. D5#5594direct (N × H)
607. C5C2×#5594semidirect
630. C3D5×H(3,𝔽4)semidirect

Maximal subgroups

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

subgroupindex
#117563532
C5×#55942
C3×D5×#1202
#117554432
D5×#9532
D5×#9372
#117549932
#117549832
D5×#9362
#117532992
D5×#8852
D5×H(3,𝔽4)3
C2×#55945