Finite Group Databasebeta

← C2×#11749456 #14425104

Subgroups — C2×#11749456 #14425104

Order 1920.

1456 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#4150C211yesmaximal, characteristic, complemented
2C2×C5×#949C211yesmaximal, characteristic, complemented
3C2×#91370C211yesmaximal, characteristic, complemented
4C2×#91299C211yesmaximal, characteristic, complemented
5C2×#91121C211yesmaximal, characteristic, complemented
6#11749456C218yesmaximal, direct product factor
7C2×#90976C211yesmaximal, characteristic, complemented
8C2×#90961C211yesmaximal, characteristic, complemented
9C2×#65490—31nomaximal, Hall
10C2×C3×C5×#41C2211yescharacteristic
11C22×C5×D12C2211yescharacteristic
12C3×#4150—22no—
13C3×#4150—22no—
14C3×#4150—22no—
15C3×#4150C2214yescomplemented
16C2×C3×Q8×D5—21no—
17C2×C3×#711—21no—
18C2×C3×#711—22no—
19C2×C3×#709—21no—
20C2×C3×#709C2211yescharacteristic
21C22×C3×Dic10—21no—
22C22×C3×Dic10C2211yescharacteristic
23C2×C4×Dic15C2211yescharacteristic
24C2×#6710C2211yescharacteristic
25C5×#949—22no—
26C5×#949C2214yescomplemented
27C2×C5×#215—21no—
28C2×C5×#213—21no—
29C2×C5×#208C2211yescharacteristic
30C2×(C2×D3)⋊Dic5—22no—
31#91370—22no—
32#91370C2214yescomplemented
33C2×#6656—21no—
34#91299—22no—
35#91299C2214yescomplemented
36C2×#6652—21no—
37#91121C2214yescomplemented
38#90976C2214yescomplemented
39#90961C2214yescomplemented
40C2×#5245—51nomaximal, Hall
41C2×#4150D311yescharacteristic, complemented
42C2×C5×AGL(1,ℤ/8)—31no—
43C2×#4082—31no—
44C2×#4078—31no—
45C2×#3969—31no—
46#65490—38no—
47C2×#3957—31no—
48C2×#3956—31no—
49C23×C5×D3—21no—
50C3×C5×#41—21no—
51C3×C5×#41—21no—
52C3×C5×#41D412yes—
53C3×C5×#41C2312yes—
54C2×C3×C5×Q8D411yescharacteristic
55C2×C3×C5×D4—21no—
56C2×C3×C5×D4D411yescharacteristic
57C22×C3×C4×C5—21no—
58C22×C3×C4×C5C2311yescharacteristic
59C22×Dic15—21no—
60C2×C5×D12—21no—
61C2×C5×D12—21no—
62C2×C5×D12—21no—
63C2×C5×D12—21no—
64C2×C5×D12—21no—
65C2×C5×D12C2312yes—
66C2×C3×C22⋊D5—22no—
67C2×C3×C22⋊D5—21no—
68C22×C3×Dic5—22no—
69C22×C3×Dic5D412yes—
70C3×Q8×D5—24no—
71C3×Q8×D5—24no—
72C3×#711—28no—
73C3×#711—24no—
74C3×#711—24no—
75C3×#711—28no—
76C3×#709—24no—
77C3×#709—21no—
78C3×#709—21no—
79C3×#709—24no—
80C3×#709D412yes—
81C3×#709C2312yes—
82C2×C3×D20D411yescharacteristic
83C2×C3×C4×D5—22no—
84C2×C3×C4×D5—21no—
85C2×C3×Dic10—22no—
86C2×C3×Dic10—24no—
87C2×C3×Dic10—21no—
88C2×C3×Dic10—21no—
89C2×C3×Dic10—21no—
90C2×C3×Dic10—21no—
91C2×C3×Dic10—24no—
92C2×C3×Dic10D412yes—
93C2×C3×Dic10D411yescharacteristic
94C2×C3×Dic10C2312yes—
95C4×Dic15—21no—
96C4×Dic15C2312yes—
97#6710—21no—
98#6710C2312yes—
99C2×C3⋊#168—21no—
100C5×#215—24no—
101C5×#213—24no—
102C5×#208—21no—
103C5×#208C2312yes—
104C2×C5×C3⋊C8—21no—
105(C2×D3)⋊Dic5—28no—
106#6656—24no—
107#6652—24no—
108C2×C3×2−1+4—51no—
109C2×#949—51no—
110C2×#949D511yescharacteristic, complemented
111C2×#947—51no—
112#5245—58no—
113C2×#837—51no—
114C2×#837—51no—
115C2×#836—51no—
116C2×C5×#41C2×D311yescharacteristic
117C22×C5×D4—31no—
118#4150—22no—
119#4150—22no—
120#4150—22no—
121#4150C2×D314yescomplemented
122C2×Q8×D5—21no—
123C2×#711—21no—
124C2×#711—22no—
125C2×#709—21no—
126C2×#709C2×D311yescharacteristic
127C22×Dic10—21no—
128C22×Dic10C2×D311yescharacteristic
129C5×AGL(1,ℤ/8)—34no—
130C5×AGL(1,ℤ/8)—62no—
131C2×C5×SD16—61no—
132C2×C5×D8—61no—
133C2×C5×M16—31no—
134C2×C22⋊Dic5—62no—
135#4082—34no—
136#4082—62no—
137C2×#687—61no—
138#4078—34no—
139#4078—62no—
140C2×#686—61no—
141C2×C4×Dic5—31no—
142C2×#681—31no—
143#3969—34no—
144#3957—34no—
145#3956—34no—
146C2×#454—151noSylow
147C23×C3×C5—21no—
148C23×C3×C5C2×D411yescharacteristic
149C22×C5×D3—22no—
150C22×C5×D3—44no—
151C22×C5×D3—41no—
152C22×C5×D3—41no—
153C22×C3×D5—21no—
154C3×C5×Q8—21no—
155C3×C5×Q8C2×D412yes—
156C3×C5×D4—22no—
157C3×C5×D4—22no—
158C3×C5×D4—21no—
159C3×C5×D4C2×D412yes—
160C2×C3×C4×C5—21no—
161C2×C3×C4×C5—22no—
162C2×C3×C4×C5—22no—
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—
171C5×D12—22no—
172C5×D12—22no—
173C5×D12—41no—
174C5×D12—41no—
175C3×C22⋊D5—28no—
176C3×C22⋊D5—22no—
177C3×C22⋊D5—22no—
178C2×C3×Dic5—28no—
179C2×C3×Dic5—22no—
180C2×C3×Dic5—21no—
181C2×C3×Dic5—22no—
182C2×C3×Dic5C2×D414yes—
183C3×D20—21no—
184C3×D20C2×D412yes—
185C3×C4×D5—28no—
186C3×C4×D5—22no—
187C3×C4×D5—22no—
188C3×Dic10—28no—
189C3×Dic10—22no—
190C3×Dic10—21no—
191C3×Dic10—22no—
192C3×Dic10—22no—
193C3×Dic10—22no—
194C3×Dic10C2×D412yes—
195C3⋊#168—22no—
196C5×C3⋊C8—22no—
197C3×2−1+4—54no—
198C3×2−1+4—102no—
199C3×2−1+4—102no—
200C3×2−1+4—102no—
201C2×C3×#41—51no—
202C2×C3×#41—101no—
203C2×C3×#41—102no—
204C2×C3×#41—101no—
205C2×C3×#41C2×D511yescharacteristic
206C22×C3×Q8—51no—
207C22×C3×Q8—101no—
208C22×C3×Q8—101no—
209C22×D12C2×D511yescharacteristic
210#949—22no—
211#949—54no—
212#949—102no—
213#949C2×D514yescomplemented
214#947—54no—
215#947—102no—
216C2×#215—21no—
217C2×#215—101no—
218C2×#213—21no—
219C2×#213—101no—
220C2×(C2×D3)⋊C4—102no—
221C2×C4×Dic3—51no—
222C2×#208—51no—
223C2×#208C2×D511yescharacteristic
224#837—54no—
225#837—54no—
226#836—54no—
227C24×C5—61no—
228C5×#41—21no—
229C5×#41—21no—
230C5×#41#6712yes—
231C5×#41C22×D312yes—
232C2×C5×Q8#6711yescharacteristic
233C2×C5×D4—21no—
234C2×C5×D4—32no—
235C2×C5×D4—61no—
236C2×C5×D4—61no—
237C2×C5×D4—61no—
238C2×C5×D4—61no—
239C2×C5×D4—61no—
240C2×C5×D4#6711yescharacteristic
241C22×C4×C5—21no—
242C22×C4×C5C22×D311yescharacteristic
243C2×C22⋊D5—22no—
244C2×C22⋊D5—21no—
245C22×Dic5—22no—
246C22×Dic5—61no—
247C22×Dic5#6712yes—
248Q8×D5—24no—
249Q8×D5—24no—
250#711—28no—
251#711—24no—
252#711—24no—
253#711—28no—
254#709—24no—
255#709—21no—
256#709—21no—
257#709—24no—
258#709#6712yes—
259#709C22×D312yes—
260C2×D20#6711yescharacteristic
261C2×C4×D5—22no—
262C2×C4×D5—21no—
263C2×Dic10—22no—
264C2×Dic10—24no—
265C2×Dic10—21no—
266C2×Dic10—21no—
267C2×Dic10—21no—
268C2×Dic10—21no—
269C2×Dic10—24no—
270C2×Dic10#6712yes—
271C2×Dic10#6711yescharacteristic
272C2×Dic10C22×D312yes—
273C5×SD16—64no—
274C5×D8—64no—
275C5×M16—32no—
276C5×M16—61no—
277C2×C5×C8—61no—
278C22⋊Dic5—68no—
279#687—64no—
280#686—64no—
281C4×Dic5—32no—
282C4×Dic5—61no—
283#681—32no—
284#681—61no—
285C2×#168—61no—
286C2×2−1+4—51no—
287C2×AGL(1,ℤ/8)—31no—
288C2×AGL(1,ℤ/8)—151no—
289C2×#124—151no—
290#454—158no—
291C2×#104—151no—
292C2×#104—151no—
293C2×#101—151no—
294C22×C3×C5—22no—
295C22×C3×C5—22no—
296C22×C3×C5—42no—
297C22×C3×C5#12011yescharacteristic
298C22×C3×C5#12011yescharacteristic
299C22×C3×C5C22×D411yescharacteristic
300C2×C5×D3—44no—
301C2×C5×D3—42no—
302C2×C5×D3—82no—
303C2×C5×D3—82no—
304C2×C3×D5—22no—
305C2×C3×D5—42no—
306C3×C4×C5—22no—
307C3×C4×C5#12011yescharacteristic
308C3×C4×C5#12011yescharacteristic
309C3×C4×C5C22×D411yescharacteristic
310C3×C4×C5C22×D411yescharacteristic
311Dic15—42no—
312C3×Dic5—24no—
313C3×Dic5—22no—
314C23×D3—21no—
315C3×#41—21no—
316C3×#41—21no—
317C3×#41—52no—
318C3×#41—52no—
319C3×#41—104no—
320C3×#41—104no—
321C3×#41—108no—
322C3×#41—108no—
323C3×#41—104no—
324C3×#41—104no—
325C3×#41—101no—
326C3×#41—101no—
327C3×#41C22⋊D512yes—
328C3×#41C22×D512yes—
329C2×C3×Q8—52no—
330C2×C3×Q8—52no—
331C2×C3×Q8—51no—
332C2×C3×Q8—104no—
333C2×C3×Q8—102no—
334C2×C3×Q8—104no—
335C2×C3×Q8—104no—
336C2×C3×Q8—104no—
337C2×C3×Q8—101no—
338C2×C3×Q8—101no—
339C2×C3×Q8—101no—
340C2×C3×Q8—101no—
341C2×C3×Q8C22⋊D511yescharacteristic
342C2×C3×D4—21no—
343C2×C3×D4—51no—
344C2×C3×D4—102no—
345C2×C3×D4—101no—
346C2×C3×D4C22⋊D511yescharacteristic
347C22×C3×C4—21no—
348C22×C3×C4—52no—
349C22×C3×C4—102no—
350C22×C3×C4—102no—
351C22×C3×C4—101no—
352C22×C3×C4C22×D511yescharacteristic
353C22×Dic3—101no—
354C2×D12—21no—
355C2×D12—21no—
356C2×D12—21no—
357C2×D12—21no—
358C2×D12—21no—
359C2×D12C22×D512yes—
360#215—24no—
361#215—104no—
362#213—24no—
363#213—104no—
364(C2×D3)⋊C4—108no—
365C4×Dic3—52no—
366C4×Dic3—101no—
367#208—21no—
368#208—52no—
369#208—101no—
370#208C22×D512yes—
371C2×C3⋊C8—21no—
372C2×C3⋊C8—101no—
373C23×C5—21no—
374C23×C5—62no—
375C23×C5—124no—
376C23×C5—121no—
377C23×C5—121no—
378C23×C5C2×#6711yescharacteristic
379C22×D5—21no—
380C5×Q8—21no—
381C5×Q8C2×#6712yes—
382C5×D4—22no—
383C5×D4—22no—
384C5×D4—21no—
385C5×D4—62no—
386C5×D4—62no—
387C5×D4—121no—
388C5×D4—121no—
389C5×D4C2×#6712yes—
390C2×C4×C5—21no—
391C2×C4×C5—22no—
392C2×C4×C5—22no—
393C2×C4×C5C2×#6711yescharacteristic
394C2×C4×C5C2×#6711yescharacteristic
395C2×C4×C5C2×#6711yescharacteristic
396C2×C4×C5C2×#6711yescharacteristic
397C2×C4×C5C2×#6711yescharacteristic
398C2×C4×C5C23×D311yescharacteristic
399C22⋊D5—28no—
400C22⋊D5—22no—
401C22⋊D5—22no—
402C2×Dic5—28no—
403C2×Dic5—22no—
404C2×Dic5—21no—
405C2×Dic5—22no—
406C2×Dic5—62no—
407C2×Dic5—122no—
408C2×Dic5C2×#6714yes—
409D20—21no—
410D20C2×#6712yes—
411C4×D5—28no—
412C4×D5—22no—
413C4×D5—22no—
414Dic10—28no—
415Dic10—22no—
416Dic10—21no—
417Dic10—22no—
418Dic10—22no—
419Dic10—22no—
420Dic10C2×#6712yes—
421C5×C8—62no—
422#168—62no—
4232−1+4—54no—
4242−1+4—102no—
4252−1+4—102no—
4262−1+4—102no—
427C2×#41—51no—
428C2×#41—101no—
429C2×#41—102no—
430C2×#41—101no—
431C2×#41D3×D511yescharacteristic
432C22×Q8—51no—
433C22×Q8—101no—
434C22×Q8—101no—
435C22×D4—31no—
436AGL(1,ℤ/8)—34no—
437AGL(1,ℤ/8)—62no—
438AGL(1,ℤ/8)—154no—
439AGL(1,ℤ/8)—302no—
440C2×SD16—61no—
441C2×SD16—301no—
442C2×D8—61no—
443C2×D8—301no—
444C2×M16—31no—
445C2×M16—151no—
446#124—154no—
447#124—302no—
448C2×C22⋊C4—302no—
449C2×C42—151no—
450#104—154no—
451#104—154no—
452#101—154no—
453C2×C3×C5—21no—
454C2×C3×C5—21no—
455C2×C3×C5—42no—
456C2×C3×C5#45412yescomplemented
457C2×C3×C5C2×#12011yescharacteristic
458C3×D5—42no—
459C5×D3—82no—
460C23×C3—21no—
461C23×C3—101no—
462C23×C3D4×D511yescharacteristic
463C22×D3—22no—
464C22×D3—44no—
465C22×D3—41no—
466C22×D3—41no—
467C3×Q8—21no—
468C3×Q8—52no—
469C3×Q8—108no—
470C3×Q8—102no—
471C3×Q8—102no—
472C3×Q8—102no—
473C3×Q8—102no—
474C3×Q8—101no—
475C3×Q8C2×C22⋊D512yes—
476C3×D4—22no—
477C3×D4—22no—
478C3×D4—21no—
479C3×D4—52no—
480C3×D4—108no—
481C3×D4—102no—
482C3×D4—102no—
483C3×D4—101no—
484C3×D4C2×C22⋊D512yes—
485C2×C3×C4—21no—
486C2×C3×C4—22no—
487C2×C3×C4—22no—
488C2×C3×C4—54no—
489C2×C3×C4—108no—
490C2×C3×C4—108no—
491C2×C3×C4—102no—
492C2×C3×C4—102no—
493C2×C3×C4—101no—
494C2×C3×C4—102no—
495C2×C3×C4—102no—
496C2×C3×C4D4×D511yescharacteristic
497C2×C3×C4D4×D511yescharacteristic
498C2×C3×C4D4×D511yescharacteristic
499C2×C3×C4C2×C22⋊D511yescharacteristic
500C2×C3×C4C2×C22⋊D511yescharacteristic
501C2×C3×C4C23×D511yescharacteristic
502C2×Dic3—102no—
503C2×Dic3—202no—
504D12—22no—
505D12—22no—
506D12—41no—
507D12—41no—
508C3⋊C8—22no—
509C3⋊C8—102no—
510C22×C5—22no—
511C22×C5—22no—
512C22×C5—42no—
513C22×C5—124no—
514C22×C5—122no—
515C22×C5—242no—
516C22×C5—242no—
517C22×C5#95311yescharacteristic
518C22×C5#95311yescharacteristic
519C22×C5C22×#6711yescharacteristic
520C2×D5—22no—
521C2×D5—42no—
522C4×C5—22no—
523C4×C5#95311yescharacteristic
524C4×C5#95311yescharacteristic
525C4×C5C22×#6711yescharacteristic
526C4×C5C22×#6711yescharacteristic
527Dic5—24no—
528Dic5—22no—
529Dic5—122no—
530C24—61no—
531#41—21no—
532#41—21no—
533#41—52no—
534#41—52no—
535#41—104no—
536#41—104no—
537#41—108no—
538#41—108no—
539#41—104no—
540#41—104no—
541#41—101no—
542#41—101no—
543#41#120112yes—
544#41C2×D3×D512yes—
545C2×Q8—52no—
546C2×Q8—52no—
547C2×Q8—51no—
548C2×Q8—104no—
549C2×Q8—102no—
550C2×Q8—104no—
551C2×Q8—104no—
552C2×Q8—104no—
553C2×Q8—101no—
554C2×Q8—101no—
555C2×Q8—101no—
556C2×Q8—101no—
557C2×Q8#120111yescharacteristic
558C2×D4—21no—
559C2×D4—32no—
560C2×D4—51no—
561C2×D4—61no—
562C2×D4—61no—
563C2×D4—61no—
564C2×D4—61no—
565C2×D4—61no—
566C2×D4—102no—
567C2×D4—101no—
568C2×D4#120111yescharacteristic
569C22×C4—21no—
570C22×C4—52no—
571C22×C4—102no—
572C22×C4—102no—
573C22×C4—101no—
574C22×C4—301no—
575C22×C4C2×D3×D511yescharacteristic
576SD16—64no—
577SD16—304no—
578D8—64no—
579D8—304no—
580M16—32no—
581M16—61no—
582M16—152no—
583M16—301no—
584C2×C8—61no—
585C2×C8—301no—
586C22⋊C4—308no—
587C42—152no—
588C42—301no—
589C3×C5C2×#45411yescharacteristic, complemented, Hall
590C22×C3—22no—
591C22×C3—22no—
592C22×C3—42no—
593C22×C3—102no—
594C22×C3—202no—
595C22×C3#408311yescharacteristic
596C22×C3#408311yescharacteristic
597C22×C3C2×D4×D511yescharacteristic
598C2×D3—44no—
599C2×D3—42no—
600C2×D3—82no—
601C2×D3—82no—
602C3×C4—22no—
603C3×C4—104no—
604C3×C4—102no—
605C3×C4#408311yescharacteristic
606C3×C4#408311yescharacteristic
607C3×C4C2×D4×D511yescharacteristic
608C3×C4C22×C22⋊D511yescharacteristic
609Dic3—202no—
610C2×C5—21no—
611C2×C5—21no—
612C2×C5—42no—
613C2×C5—242no—
614C2×C5#524512yescomplemented
615C2×C5C2×#95311yescharacteristic
616D5—42no—
617C23—21no—
618C23—62no—
619C23—101no—
620C23—124no—
621C23—121no—
622C23—121no—
623C23D5×#6711yescharacteristic
624Q8—21no—
625Q8—52no—
626Q8—108no—
627Q8—102no—
628Q8—102no—
629Q8—102no—
630Q8—102no—
631Q8—101no—
632Q8C2×#120112yes—
633D4—22no—
634D4—22no—
635D4—21no—
636D4—52no—
637D4—62no—
638D4—62no—
639D4—108no—
640D4—102no—
641D4—102no—
642D4—101no—
643D4—121no—
644D4—121no—
645D4C2×#120112yes—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—54no—
650C2×C4—108no—
651C2×C4—108no—
652C2×C4—102no—
653C2×C4—102no—
654C2×C4—101no—
655C2×C4—102no—
656C2×C4—102no—
657C2×C4—302no—
658C2×C4—602no—
659C2×C4C2×#120111yescharacteristic
660C2×C4C2×#120111yescharacteristic
661C2×C4D5×#6711yescharacteristic
662C2×C4D5×#6711yescharacteristic
663C2×C4D5×#6711yescharacteristic
664C2×C4C22×D3×D511yescharacteristic
665C8—62no—
666C8—302no—
667C2×C3—21no—
668C2×C3—21no—
669C2×C3—42no—
670C2×C3—202no—
671C2×C3#6549012yescomplemented
672C2×C3C2×#408311yescharacteristic
673D3—82no—
674C5C2×#524511yescharacteristic, complemented, Sylow
675C22—22no—
676C22—22no—
677C22—42no—
678C22—102no—
679C22—124no—
680C22—122no—
681C22—202no—
682C22—242no—
683C22—242no—
684C22#9156311yescharacteristic
685C22#9156311yescharacteristic
686C22C2×D5×#6711yescharacteristic
687C4—22no—
688C4—104no—
689C4—102no—
690C4—602no—
691C4#9156311yescharacteristic
692C4#9156311yescharacteristic
693C4C22×#120111yescharacteristic
694C4C2×D5×#6711yescharacteristic
695C3C2×#6549011yescharacteristic, complemented, Sylow
696C2—21no—
697C2—21no—
698C2—42no—
699C2—202no—
700C2—242no—
701C2#1174945612yesdirect product factor
702C2C2×#9156311yescharacteristic
subgroupG/H
centerC22#91563
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC22×C3×C5#120
hypercenterC2×#41D3×D5
hypocenterC3×C5C2×#454
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×C3×#4150C2semidirect
2. C2×C5×#949C2semidirect
3. C2×#91370C2semidirect
4. C2×#91299C2semidirect
5. C2×#91121C2semidirect
6. #11749456C2direct (N × H)
7. C2×#90976C2semidirect
8. C2×#90961C2semidirect
15. C3×#4150C22semidirect
26. C5×#949C22semidirect
32. #91370C22semidirect
35. #91299C22semidirect
37. #91121C22semidirect
38. #90976C22semidirect
39. #90961C22semidirect
41. C2×#4150D3semidirect
110. C2×#949D5semidirect
121. #4150C2×D3semidirect
213. #949C2×D5semidirect
456. C2×C3×C5#454semidirect
589. C3×C5C2×#454semidirect
614. C2×C5#5245semidirect
671. C2×C3#65490semidirect
674. C5C2×#5245semidirect
695. C3C2×#65490semidirect
701. C2#11749456direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#41502
C2×C5×#9492
C2×#913702
C2×#912992
C2×#911212
#117494562
C2×#909762
C2×#909612
C2×#654903
C2×#52455