Finite Group Databasebeta

← #14459996

Subgroups — #14459996

Order 1920.

772 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
1C3×#66158C211yesmaximal, characteristic
2#11754230C211yesmaximal, characteristic, complemented
3#11751340C211yesmaximal, characteristic, complemented
4C5×#5233C211yesmaximal, characteristic, complemented
5#11749349C211yesmaximal, characteristic, complemented
6#11749292C211yesmaximal, characteristic, complemented
7#11749246C211yesmaximal, characteristic, complemented
8#11749209C211yesmaximal, characteristic, complemented
9#11749101C211yesmaximal, characteristic, complemented
10#11749049C211yesmaximal, characteristic, complemented
11#11748998C211yesmaximal, characteristic, complemented
12#11748961C211yesmaximal, characteristic, complemented
13#11748560C211yesmaximal, characteristic, complemented
14C3⋊C8×C22⋊D5C211yesmaximal, characteristic, complemented
15#11748402C211yesmaximal, characteristic, complemented
16#10610580—31nomaximal, Hall
17C2×C3×C5×#41C2211yescharacteristic
18C2×C3×#711C2211yescharacteristic
19C2×#6718C2211yescharacteristic
20C2×#6716C2211yescharacteristic
21#91813C2211yescharacteristic
22C5×#926C2211yescharacteristic
23C22×C5×C3⋊C8C2211yescharacteristic
24C3×#4092C2211yescharacteristic
25C3×#4090C2211yescharacteristic
26C3×#4085—21no—
27C3×#4081—21no—
28C3×D4×Dic5C2211yescharacteristic
29C3×#4075—21no—
30C3×C4×C22⋊D5C2211yescharacteristic
31C3×#4070C2211yescharacteristic
32C2×C3×#683—21no—
33#91534—21no—
34#91530—21no—
35#91468C2211yescharacteristic
36#91363—21no—
37#91360C2211yescharacteristic
38#91358C2211yescharacteristic
39#91333C2211yescharacteristic
40#91324—21no—
41C2×#6662C2211yescharacteristic
42C2×D5×C3⋊C8C2211yescharacteristic
43#91119C2211yescharacteristic
44#91116C2211yescharacteristic
45#91114C2211yescharacteristic
46C5×#835C2211yescharacteristic
47C5×#835C2211yescharacteristic
48C5×#832C2211yescharacteristic
49C5×#832C2211yescharacteristic
50#90990C2211yescharacteristic
51#90989C2211yescharacteristic
52#90986C2211yescharacteristic
53#90982C2211yescharacteristic
54#90974C2211yescharacteristic
55#90971C2211yescharacteristic
56#90970C2211yescharacteristic
57#90970C2211yescharacteristic
58#90955C2211yescharacteristic
59Dic5×C3⋊C8C2211yescharacteristic
60#83510—51nomaximal, Hall
61#66158D311yescharacteristic
62#65867—31no—
63C5×#416—31no—
64#65528—31no—
65#65405—31no—
66C8×C22⋊D5—31no—
67#65285—31no—
68#65103—31no—
69#65102—31no—
70#65082—31no—
71#65081—31no—
72#65072—31no—
73#65061—31no—
74#65048—31no—
75#65047—31no—
76C3×C5×#41—22no—
77C3×C5×#41—41no—
78C2×C3×C5×Q8C2311yescharacteristic
79C2×C3×C5×D4—21no—
80C2×C3×C5×D4C2311yescharacteristic
81C22×C3×C4×C5—21no—
82C22×C3×C4×C5C2311yescharacteristic
83C2×Dic30C2311yescharacteristic
84C2×C3×C22⋊D5—21no—
85C2×C3×C22⋊D5D411yescharacteristic
86C22×C3×Dic5—21no—
87C22×C3×Dic5—21no—
88C3×#711—22no—
89C3×#711—41no—
90C2×C3×C4×D5C2311yescharacteristic
91C2×C3×Dic10C2311yescharacteristic
92C2×#1204—21no—
93#6719—21no—
94#6718—41no—
95#6716—22no—
96C4⋊Dic15C2311yescharacteristic
97#6712—21no—
98C2×C3⋊#168C2311yescharacteristic
99C2×C3⋊#168C2311yescharacteristic
100C5×#217—21no—
101C5×C4⋊Dic3C2311yescharacteristic
102C5×C4⋊Dic3C2311yescharacteristic
103C4×C5×Dic3—21no—
104C2×C5×C3⋊C8—41no—
105C2×C5×C3⋊C8C2311yescharacteristic
106C2×C5×C3⋊C8C2311yescharacteristic
107C3×C22⋊Dic5—21no—
108C3×C22⋊Dic5—21no—
109C3×C22⋊Dic5D411yescharacteristic
110C3×#685—21no—
111C3×#685D411yescharacteristic
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683—21no—
114C3×#683—21no—
115C3×#683—21no—
116C3×#683—21no—
117C3×#683D411yescharacteristic
118C3×C4×Dic5C2311yescharacteristic
119Dic3⋊Dic5—21no—
120#6669—21no—
121#6668—21no—
122#6665—21no—
123#6665—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126#6662—41no—
127D5×C3⋊C8—41no—
128C3×#547—51no—
129#5542—51no—
130#5239—51no—
131#5239—51no—
132#5233—51no—
133#5233D511yescharacteristic, complemented
134#5090—51no—
135#5079—51no—
136#5051—51no—
137#5051—51no—
138#5045—51no—
139#5045—51no—
140C4×#214—51no—
141D4×C3⋊C8—51no—
142#5007—51no—
143C2×C5×#41C2×D311yescharacteristic
144C2×#711C2×D311yescharacteristic
145C22×C5×C8—31no—
146C5×#117—31no—
147#4092C2×D311yescharacteristic
148#4090C2×D311yescharacteristic
149C2×#689—31no—
150#4085—21no—
151#4081—21no—
152D4×Dic5C2×D311yescharacteristic
153C2×#687—31no—
154#4075—21no—
155C4×C22⋊D5C2×D311yescharacteristic
156#4070—31no—
157#4070C2×D311yescharacteristic
158C2×#683—21no—
159C2×Dic20—31no—
160C2×C8×D5—31no—
161#4043—31no—
162#4038—31no—
163#4034—31no—
164#4033—31no—
165#4031—61no—
166#4025—61no—
167#4022—61no—
168C4×Dic10—61no—
169C5×#103—31no—
170C5×#103—31no—
171C5×#102—31no—
172C5×#102—31no—
173#3967—31no—
174#3964—31no—
175C22⋊#168—31no—
176#3952—31no—
177#3950—31no—
178#3948—31no—
179#3948—31no—
180#3946—31no—
181C8×Dic5—31no—
182#3942—31no—
183#3942—31no—
184#3940—31no—
185#3939—31no—
186#3302—151noSylow
187C23×C3×C5—21no—
188C23×C3×C5C2×D411yescharacteristic
189C22×C3×D5C2×D411yescharacteristic
190C3×C5×Q8—21no—
191C3×C5×Q8—21no—
192C3×C5×D4—21no—
193C3×C5×D4—42no—
194C3×C5×D4#4112yes—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5—42no—
199C2×C3×C4×C5C2×D411yescharacteristic
200C2×C3×C4×C5C2411yescharacteristic
201C2×Dic15—21no—
202C2×Dic15—21no—
203Dic30—21no—
204Dic30—21no—
205C2×C5×Dic3—21no—
206C2×C5×Dic3—21no—
207C3×C22⋊D5—22no—
208C3×C22⋊D5—42no—
209C2×C3×Dic5—21no—
210C2×C3×Dic5—21no—
211C2×C3×Dic5—42no—
212C2×C3×Dic5—42no—
213C2×C3×Dic5C2×D411yescharacteristic
214C2×C3×Dic5C2×D411yescharacteristic
215C2×C3×Dic5C2×D411yescharacteristic
216C3×C4×D5—21no—
217C3×C4×D5—21no—
218C3×Dic10—21no—
219C3×Dic10—21no—
220#1204—42no—
221C3⋊#168—21no—
222C3⋊#168—21no—
223C5×C3⋊C8—21no—
224C5×C3⋊C8—21no—
225C2×C3×#41—51no—
226C2×C3×#41C2×D511yescharacteristic
227C3×C4⋊Q8—51no—
228C3×#123—101no—
229C3×#123—101no—
230C3×C22⋊Q8—51no—
231C3×C22⋊Q8—51no—
232C3×#121—101no—
233C3×C4×D4—51no—
234C3×C4×D4—51no—
235C2×C3×C4⋊C4—101no—
236C2×#216—51no—
237C2×#216—51no—
238#936—101no—
239C2×#214—51no—
240#926—51no—
241#926C2×D511yescharacteristic
242#924—51no—
243#924—51no—
244C22×C3⋊C8—51no—
245C22×C3⋊C8C2×D511yescharacteristic
246#887—101no—
247#879—101no—
248#879—101no—
249#869—51no—
250C4×Dic6—51no—
251#835—51no—
252#835—51no—
253#835—51no—
254#835—51no—
255#835C2×D511yescharacteristic
256#835C2×D511yescharacteristic
257#832—51no—
258#832C2×D511yescharacteristic
259#832C2×D511yescharacteristic
260#830—51no—
261#830—51no—
262#810—51no—
263#808—51no—
264#807—51no—
265#807—51no—
266C4⋊(C3⋊C8)—51no—
267C4×C3⋊C8—51no—
268C5×#41—22no—
269C5×#41—41no—
270C2×C5×Q8C22×D311yescharacteristic
271C2×C5×D4—21no—
272C2×C5×D4C22×D311yescharacteristic
273C22×C4×C5—21no—
274C22×C4×C5C22×D311yescharacteristic
275C2×C22⋊D5—21no—
276C2×C22⋊D5#6711yescharacteristic
277C22×Dic5—21no—
278C22×Dic5—21no—
279#711—22no—
280#711—41no—
281C2×C4×D5C22×D311yescharacteristic
282C2×Dic10—31no—
283C2×Dic10—61no—
284C2×Dic10C22×D311yescharacteristic
285C2×C5×C8—31no—
286C2×C5×C8—31no—
287C2×C5×C8—121no—
288C5×C4⋊C4—31no—
289C5×C4⋊C4—31no—
290C5×C22⋊C4—61no—
291C42×C5—61no—
292C22⋊Dic5—21no—
293C22⋊Dic5—21no—
294C22⋊Dic5—61no—
295C22⋊Dic5#6711yescharacteristic
296#689—121no—
297#687—62no—
298#685—21no—
299#685—61no—
300#685—61no—
301#685#6711yescharacteristic
302C4⋊Dic5—31no—
303C4⋊Dic5—61no—
304C4⋊Dic5C22×D311yescharacteristic
305#683—21no—
306#683—21no—
307#683—21no—
308#683—21no—
309#683—61no—
310#683—61no—
311#683—61no—
312#683#6711yescharacteristic
313C4×Dic5—61no—
314C4×Dic5—61no—
315C4×Dic5C22×D311yescharacteristic
316C2×#168—31no—
317C2×#168—31no—
318Dic20—121no—
319C8×D5—121no—
320#556—151no—
321#547—51no—
322#487—151no—
323#485—151no—
324#485—151no—
325#474—151no—
326#467—151no—
327#467—151no—
328#462—151no—
329#452—151no—
330#452—151no—
331C4×SD16—151no—
332C8×D4—151no—
333#416—31no—
334#416—151no—
335C22×C3×C5—22no—
336C22×C3×C5—21no—
337C22×C3×C5—21no—
338C22×C3×C5—21no—
339C22×C3×C5—41no—
340C22×C3×C5—41no—
341C22×C3×C5C22×D411yescharacteristic
342C2×C3×D5—21no—
343C2×C3×D5—21no—
344C2×C3×D5—21no—
345C3×C4×C5—21no—
346C3×C4×C5—41no—
347C3×C4×C5C2×#4111yescharacteristic
348C3×C4×C5H(5,𝔽2)11yescharacteristic
349Dic15—41no—
350Dic15—41no—
351C3×Dic5—21no—
352C3×Dic5—21no—
353C3×Dic5—41no—
354C3×Dic5—41no—
355C3×Dic5#13512yes—
356C5×Dic3—41no—
357C5×Dic3—41no—
358C3×#41—22no—
359C3×#41—41no—
360C3×#41—102no—
361C3×#41—201no—
362C2×C3×Q8—51no—
363C2×C3×Q8C22×D511yescharacteristic
364C2×C3×D4—21no—
365C2×C3×D4—51no—
366C2×C3×D4—101no—
367C2×C3×D4C22×D511yescharacteristic
368C22×C3×C4—21no—
369C22×C3×C4—51no—
370C22×C3×C4—101no—
371C22×C3×C4—101no—
372C22×C3×C4C22×D511yescharacteristic
373C2×Dic6—51no—
374C2×Dic6—101no—
375C3×C4⋊C4—51no—
376C3×C4⋊C4—51no—
377C3×C4⋊C4—101no—
378C3×C4⋊C4—101no—
379C3×C4⋊C4—101no—
380C3×C4⋊C4—101no—
381C3×C22⋊C4—51no—
382C3×C22⋊C4—51no—
383C3×C22⋊C4—101no—
384C3×C22⋊C4—101no—
385C3×C22⋊C4—101no—
386C3×C42—51no—
387#217—21no—
388#217—101no—
389#217—101no—
390#217—101no—
391#216—201no—
392#216—201no—
393#214—102no—
394C4⋊Dic3—51no—
395C4⋊Dic3—101no—
396C4⋊Dic3C22×D511yescharacteristic
397C4⋊Dic3C22×D511yescharacteristic
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400Dic3⋊C4—101no—
401C4×Dic3—21no—
402C4×Dic3—101no—
403C4×Dic3—101no—
404C2×C3⋊C8—41no—
405C2×C3⋊C8—51no—
406C2×C3⋊C8—51no—
407C2×C3⋊C8—201no—
408C2×C3⋊C8C22×D511yescharacteristic
409C2×C3⋊C8C22×D511yescharacteristic
410C23×C5—21no—
411C23×C5C2×#6711yescharacteristic
412C22×D5C2×#6711yescharacteristic
413C5×Q8—21no—
414C5×Q8—21no—
415C5×D4—21no—
416C5×D4—42no—
417C5×D4#23712yes—
418C2×C4×C5—21no—
419C2×C4×C5—21no—
420C2×C4×C5—21no—
421C2×C4×C5—42no—
422C2×C4×C5—61no—
423C2×C4×C5—61no—
424C2×C4×C5C2×#6711yescharacteristic
425C2×C4×C5C23×D311yescharacteristic
426C22⋊D5—22no—
427C22⋊D5—42no—
428C2×Dic5—21no—
429C2×Dic5—21no—
430C2×Dic5—42no—
431C2×Dic5—42no—
432C2×Dic5—61no—
433C2×Dic5—61no—
434C2×Dic5C2×#6711yescharacteristic
435C2×Dic5C2×#6711yescharacteristic
436C2×Dic5C2×#6711yescharacteristic
437C4×D5—21no—
438C4×D5—21no—
439Dic10—21no—
440Dic10—21no—
441Dic10—61no—
442Dic10—61no—
443Dic10—122no—
444C5×C8—61no—
445C5×C8—61no—
446#168—61no—
447#168—61no—
448C2×#41—51no—
449C2×#41D3×D511yescharacteristic
450C2×Q16—151no—
451C2×Q16—151no—
452C2×SD16—151no—
453C22×C8—31no—
454C22×C8—151no—
455C4⋊Q8—51no—
456C4⋊Q8—151no—
457#126—301no—
458#126—301no—
459#124—301no—
460#123—101no—
461#123—101no—
462C22⋊Q8—51no—
463C22⋊Q8—51no—
464C22⋊Q8—151no—
465C22⋊Q8—151no—
466#121—101no—
467C4×Q8—151no—
468C4×Q8—301no—
469C4×D4—51no—
470C4×D4—51no—
471#117—31no—
472#117—151no—
473C2×C4⋊C4—101no—
474#107—151no—
475#107—151no—
476#106—151no—
477C4⋊C8—151no—
478#103—31no—
479#103—31no—
480#103—151no—
481#103—151no—
482#103—151no—
483#103—151no—
484#103—151no—
485#102—31no—
486#102—31no—
487#102—151no—
488C22⋊C8—151no—
489C22⋊C8—151no—
490C4×C8—151no—
491C2×C3×C5—41no—
492C2×C3×C5—42no—
493C2×C3×C5#54611yescharacteristic
494C2×C3×C5C2×#13511yescharacteristic
495C2×C3×C5#57811yescharacteristic
496C3×D5—41no—
497C23×C3—21no—
498C23×C3—51no—
499C23×C3D4×D511yescharacteristic
500C3×Q8—21no—
501C3×Q8—21no—
502C3×Q8—101no—
503C3×Q8—101no—
504C3×D4—21no—
505C3×D4—42no—
506C3×D4—102no—
507C3×D4—202no—
508C3×D4#70912yes—
509C2×C3×C4—21no—
510C2×C3×C4—21no—
511C2×C3×C4—21no—
512C2×C3×C4—42no—
513C2×C3×C4—51no—
514C2×C3×C4—51no—
515C2×C3×C4—51no—
516C2×C3×C4—101no—
517C2×C3×C4—101no—
518C2×C3×C4—101no—
519C2×C3×C4—101no—
520C2×C3×C4—202no—
521C2×C3×C4—202no—
522C2×C3×C4D4×D511yescharacteristic
523C2×C3×C4C23×D511yescharacteristic
524C2×Dic3—21no—
525C2×Dic3—21no—
526C2×Dic3—101no—
527C2×Dic3—101no—
528Dic6—101no—
529Dic6—101no—
530Dic6—202no—
531C3⋊C8—21no—
532C3⋊C8—21no—
533C3⋊C8—101no—
534C3⋊C8—101no—
535C22×C5—22no—
536C22×C5—21no—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5—41no—
540C22×C5—41no—
541C22×C5C22×#6711yescharacteristic
542C2×D5—21no—
543C2×D5—21no—
544C2×D5—21no—
545C4×C5—21no—
546C4×C5—41no—
547C4×C5—121no—
548C4×C5—121no—
549C4×C5C2×#23711yescharacteristic
550C4×C5#100411yescharacteristic
551Dic5—21no—
552Dic5—21no—
553Dic5—41no—
554Dic5—41no—
555Dic5—121no—
556Dic5—121no—
557Dic5#95012yes—
558#41—22no—
559#41—41no—
560#41—102no—
561#41—201no—
562C2×Q8—51no—
563C2×Q8—151no—
564C2×Q8—301no—
565C2×Q8C2×D3×D511yescharacteristic
566C2×D4—21no—
567C2×D4—51no—
568C2×D4—101no—
569C2×D4C2×D3×D511yescharacteristic
570C22×C4—21no—
571C22×C4—51no—
572C22×C4—101no—
573C22×C4—101no—
574C22×C4C2×D3×D511yescharacteristic
575Q16—601no—
576Q16—601no—
577SD16—302no—
578C2×C8—31no—
579C2×C8—31no—
580C2×C8—121no—
581C2×C8—151no—
582C2×C8—151no—
583C2×C8—601no—
584C4⋊C4—31no—
585C4⋊C4—31no—
586C4⋊C4—51no—
587C4⋊C4—51no—
588C4⋊C4—101no—
589C4⋊C4—101no—
590C4⋊C4—101no—
591C4⋊C4—101no—
592C4⋊C4—151no—
593C4⋊C4—301no—
594C4⋊C4—301no—
595C4⋊C4—301no—
596C4⋊C4—301no—
597C22⋊C4—51no—
598C22⋊C4—51no—
599C22⋊C4—61no—
600C22⋊C4—101no—
601C22⋊C4—101no—
602C22⋊C4—101no—
603C22⋊C4—301no—
604C22⋊C4—301no—
605C22⋊C4—301no—
606C42—51no—
607C42—61no—
608C42—301no—
609C42—301no—
610C3×C5#330211yescharacteristic, complemented, Hall
611C22×C3—21no—
612C22×C3—22no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—101no—
618C22×C3—101no—
619C22×C3—101no—
620C22×C3C2×D4×D511yescharacteristic
621C3×C4—21no—
622C3×C4—41no—
623C3×C4—52no—
624C3×C4—101no—
625C3×C4—101no—
626C3×C4—201no—
627C3×C4—201no—
628C3×C4C2×#70911yescharacteristic
629C3×C4#414411yescharacteristic
630Dic3—41no—
631Dic3—41no—
632Dic3—201no—
633Dic3—201no—
634C2×C5—41no—
635C2×C5—42no—
636C2×C5#580611yescharacteristic
637C2×C5C2×#95011yescharacteristic
638C2×C5#583811yescharacteristic
639D5—41no—
640C23—21no—
641C23—51no—
642C23D5×#6711yescharacteristic
643Q8—21no—
644Q8—21no—
645Q8—101no—
646Q8—101no—
647Q8—301no—
648Q8—301no—
649Q8—602no—
650D4—21no—
651D4—42no—
652D4—102no—
653D4—202no—
654D4#677912yes—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—42no—
659C2×C4—51no—
660C2×C4—51no—
661C2×C4—51no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—101no—
665C2×C4—101no—
666C2×C4—101no—
667C2×C4—101no—
668C2×C4—202no—
669C2×C4—202no—
670C2×C4—301no—
671C2×C4—301no—
672C2×C4D5×#6711yescharacteristic
673C2×C4C22×D3×D511yescharacteristic
674C8—61no—
675C8—61no—
676C8—301no—
677C8—301no—
678C2×C3—41no—
679C2×C3—42no—
680C2×C3—201no—
681C2×C3#6582411yescharacteristic
682C2×C3D5×#13511yescharacteristic
683C2×C3#6610511yescharacteristic
684C5#8351011yescharacteristic, complemented, Sylow
685C22—21no—
686C22—21no—
687C22—21no—
688C22—22no—
689C22—41no—
690C22—41no—
691C22—101no—
692C22—101no—
693C22—101no—
694C22C2×D5×#6711yescharacteristic
695C4—21no—
696C4—41no—
697C4—52no—
698C4—101no—
699C4—101no—
700C4—121no—
701C4—121no—
702C4—201no—
703C4—201no—
704C4—601no—
705C4—601no—
706C4C2×#677911yescharacteristic
707C4#9204911yescharacteristic
708C3#1061058011yescharacteristic, complemented, Sylow
709C2—41no—
710C2—42no—
711C2—201no—
712C2D5×#95011yescharacteristic
713C2#1175533811yescharacteristic
714C2#1175538011yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC22×C3×C5C22×D4
prime radicalC3×#66158C2
hypercenterC2×#41D3×D5
hypocenterC3×C5#3302
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
2. #11754230C2semidirect
3. #11751340C2semidirect
4. C5×#5233C2semidirect
5. #11749349C2semidirect
6. #11749292C2semidirect
7. #11749246C2semidirect
8. #11749209C2semidirect
9. #11749101C2semidirect
10. #11749049C2semidirect
11. #11748998C2semidirect
12. #11748961C2semidirect
13. #11748560C2semidirect
14. C3⋊C8×C22⋊D5C2semidirect
15. #11748402C2semidirect
133. #5233D5semidirect
610. C3×C5#3302semidirect
684. C5#83510semidirect
708. C3#10610580semidirect

Maximal subgroups

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

subgroupindex
C3×#661582
#117542302
#117513402
C5×#52332
#117493492
#117492922
#117492462
#117492092
#117491012
#117490492
#117489982
#117489612
#117485602
C3⋊C8×C22⋊D52
#117484022
#106105803
#835105