Finite Group Databasebeta

← #14329115

Subgroups — #14329115

Order 1920.

1376 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#930C211yesmaximal, characteristic
2C2×C3×#4072C211yesmaximal, characteristic, complemented
3C2×#91435C211yesmaximal, characteristic, complemented
4C4×#6719C211yesmaximal, characteristic, complemented
5#11749519C212yesmaximal, complemented
6#11749482C212yesmaximal, complemented
7Dic5×(C2×D3)⋊C4C212yesmaximal, complemented
8#11748868C211yesmaximal, characteristic, complemented
9#11748797C211yesmaximal, characteristic, complemented
10#11748747C212yesmaximal, complemented
11#11748699C211yesmaximal, characteristic, complemented
12#10614368—31nomaximal, Hall
13C23×C3×C4×C5C2211yescharacteristic
14C22×C5×#67C2212yes—
15C22×C5×D12C2211yescharacteristic
16C22×D3×Dic5C2212yes—
17C2×#6719C2211yescharacteristic
18C2×#6719C2211yescharacteristic
19C2×C4×Dic15C2211yescharacteristic
20C2×C4×Dic15C2211yescharacteristic
21C5×#930C418yescomplemented
22C2×C5×(C2×D3)⋊C4C2212yes—
23C2×C5×C4⋊Dic3C2211yescharacteristic
24C2×C3×C22⋊Dic5C2212yes—
25C3×#4072—24no—
26C2×C3×C4⋊Dic5C2211yescharacteristic
27C2×C3×C4⋊Dic5C2211yescharacteristic
28C2×C3×C4×Dic5C2212yes—
29C2×Dic3⋊Dic5C2212yes—
30C2×(C2×D3)⋊Dic5C2212yes—
31C2×(C2×D3)⋊Dic5C2212yes—
32C2×(C2×D3)⋊Dic5C2212yes—
33C2×Dic3×Dic5C2212yes—
34#91435—24no—
35#91115C2211yescharacteristic
36#91115C2211yescharacteristic
37#90994C2212yes—
38#90994C2212yes—
39#82244—51nomaximal, Hall
40C2×C5×#121—31no—
41C2×D4×Dic5—31no—
42C2×#4072D311yescharacteristic, complemented
43#65510—31no—
44#65510—32no—
45#65509—32no—
46C4×C22⋊Dic5—31no—
47#65274—31no—
48C4⋊C4×Dic5—31no—
49#65240—32no—
50C22⋊C4×Dic5—32no—
51C24×C3×C5C2311yescharacteristic
52C23×C5×D3C2312yes—
53C22×C3×C4×C5—22no—
54C22×C3×C4×C5—22no—
55C22×C3×C4×C5C2×C414yescomplemented
56C22×C3×C4×C5C2311yescharacteristic
57C22×C3×C4×C5C2311yescharacteristic
58C22×Dic15C2311yescharacteristic
59C22×Dic15C2311yescharacteristic
60C22×Dic15C2311yescharacteristic
61C22×Dic15C2311yescharacteristic
62C2×C5×#67—42no—
63C2×C5×#67—42no—
64C2×C5×#67C2×C418yescomplemented
65C22×C5×Dic3C2312yes—
66C2×C5×D12—22no—
67C2×C5×D12—22no—
68C2×C5×D12C2×C414yes—
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2312yes—
71C2×D3×Dic5—24no—
72C2×D3×Dic5—24no—
73C2×D3×Dic5—42no—
74#6719—22no—
75#6719—22no—
76C4×Dic15—22no—
77C4×Dic15—22no—
78C5×(C2×D3)⋊C4C2×C418yescomplemented
79C5×C4⋊Dic3C2×C414yescomplemented
80C3×C22⋊Dic5—24no—
81C3×C4⋊Dic5—22no—
82C3×C4⋊Dic5D414yescomplemented
83C3×C4×Dic5—24no—
84Dic3⋊Dic5—42no—
85(C2×D3)⋊Dic5—24no—
86(C2×D3)⋊Dic5—24no—
87(C2×D3)⋊Dic5—42no—
88Dic3×Dic5—42no—
89C2×C3×#117—51no—
90C2×#930D511yescharacteristic
91C2×#893—51no—
92C4×#217—51no—
93#4988—51no—
94Dic3×C4⋊C4—51no—
95#4972—51no—
96#4957—52no—
97#4956—52no—
98#4940—52no—
99C4×(C2×D3)⋊C4—52no—
100C22×C5×D4—32no—
101C22×C5×D4—31no—
102C23×C4×C5C2×D311yescharacteristic
103C23×Dic5—32no—
104C5×#121—38no—
105C2×C5×C4⋊C4—31no—
106C2×C5×C22⋊C4—32no—
107C2×C22⋊Dic5—31no—
108C2×C22⋊Dic5—31no—
109C2×C22⋊Dic5—32no—
110C2×C22⋊Dic5—32no—
111C2×C22⋊Dic5—32no—
112C2×C22⋊Dic5C2×D312yes—
113D4×Dic5—64no—
114#4072—24no—
115C2×C4⋊Dic5—32no—
116C2×C4⋊Dic5C2×D311yescharacteristic
117C2×C4⋊Dic5C2×D311yescharacteristic
118C2×C4×Dic5—31no—
119C2×C4×Dic5—31no—
120C2×C4×Dic5—32no—
121C2×C4×Dic5C2×D312yes—
122#3963—31no—
123#3963—31no—
124#3963—32no—
125#3963—32no—
126#2363—151noSylow
127C23×C3×C5—21no—
128C23×C3×C5—21no—
129C23×C3×C5—21no—
130C23×C3×C5—21no—
131C23×C3×C5—21no—
132C23×C3×C5—21no—
133C23×C3×C5C22×C412yes—
134C23×C3×C5C2411yescharacteristic
135C22×C5×D3—22no—
136C22×C5×D3—22no—
137C22×C5×D3—22no—
138C22×C5×D3—22no—
139C22×C5×D3—22no—
140C22×C5×D3—22no—
141C22×C5×D3C22×C414yes—
142C2×C3×C4×C5—21no—
143C2×C3×C4×C5—21no—
144C2×C3×C4×C5—28no—
145C2×C3×C4×C5C22×C412yes—
146C2×C3×C4×C5C22×C412yes—
147C2×C3×C4×C5C2×D412yes—
148C2×C3×C4×C5#4112yes—
149C2×Dic15—21no—
150C2×Dic15—21no—
151C2×Dic15—21no—
152C2×Dic15—21no—
153C2×Dic15—21no—
154C2×Dic15—21no—
155C2×Dic15—21no—
156C2×Dic15—21no—
157C2×Dic15—21no—
158C2×Dic15—21no—
159C2×Dic15#4112yes—
160C2×Dic15#4112yes—
161C5×#67—48no—
162C2×C5×Dic3—22no—
163C2×C5×Dic3—22no—
164C2×C5×Dic3C22×C414yes—
165C5×D12—28no—
166C2×C3×Dic5—22no—
167C2×C3×Dic5—22no—
168C2×C3×Dic5—22no—
169C2×C3×Dic5—22no—
170C2×C3×Dic5—22no—
171C2×C3×Dic5C2×D414yes—
172D3×Dic5—48no—
173C23×C3×C4C2×D511yescharacteristic
174C22×#67C2×D512yes—
175C22×D12C2×D511yescharacteristic
176C22×C4×D3—52no—
177C3×#117—104no—
178C2×C3×C4⋊C4—51no—
179C2×C3×C4⋊C4—51no—
180C2×C3×C22⋊C4—52no—
181C2×C3×C42—52no—
182C2×#217—51no—
183C2×#217—51no—
184#930Dic518yescomplemented
185C2×(C2×D3)⋊C4—52no—
186C2×(C2×D3)⋊C4—52no—
187C2×(C2×D3)⋊C4—52no—
188C2×(C2×D3)⋊C4C2×D512yes—
189C2×C4⋊Dic3C2×D511yescharacteristic
190C2×Dic3⋊C4—52no—
191C2×C4×Dic3—51no—
192C2×C4×Dic3—51no—
193C2×C4×Dic3—52no—
194#893—104no—
195C3⋊#95—51no—
196C3⋊#95—51no—
197C3⋊#95—52no—
198C3⋊#95—52no—
199C24×C5—32no—
200C24×C5C22×D311yescharacteristic
201C2×C5×D4—38no—
202C2×C5×D4—34no—
203C2×C5×D4—62no—
204C2×C5×D4—62no—
205C2×C5×D4—122no—
206C2×C5×D4—122no—
207C22×C4×C5—22no—
208C22×C4×C5—22no—
209C22×C4×C5—32no—
210C22×C4×C5C4×D314yescomplemented
211C22×C4×C5C22×D311yescharacteristic
212C22×C4×C5C22×D311yescharacteristic
213C22×Dic5—31no—
214C22×Dic5—31no—
215C22×Dic5—31no—
216C22×Dic5—31no—
217C22×Dic5—64no—
218C22×Dic5—64no—
219C22×Dic5—122no—
220C22×Dic5C22×D312yes—
221C22×Dic5C22×D312yes—
222C5×C4⋊C4—34no—
223C5×C22⋊C4—38no—
224C22⋊Dic5—24no—
225C22⋊Dic5—64no—
226C22⋊Dic5—62no—
227C22⋊Dic5—62no—
228C22⋊Dic5—64no—
229C22⋊Dic5—122no—
230C4⋊Dic5—22no—
231C4⋊Dic5—122no—
232C4⋊Dic5#6714yescomplemented
233C4×Dic5—24no—
234C4×Dic5—62no—
235C4×Dic5—62no—
236C4×Dic5—122no—
237C2×#121—31no—
238C2×C4×D4—151no—
239C2×#117—51no—
240#390—152no—
241#390—151no—
242#389—151no—
243#388—152no—
244#386—152no—
245C4×C4⋊C4—151no—
246C4×C22⋊C4—152no—
247C4×C22⋊C4—151no—
248C22×C3×C5—22no—
249C22×C3×C5—22no—
250C22×C3×C5—22no—
251C22×C3×C5—41no—
252C22×C3×C5—41no—
253C22×C3×C5—41no—
254C22×C3×C5—41no—
255C22×C3×C5C23×C411yescharacteristic
256C22×C3×C5C22×D411yescharacteristic
257C22×C3×C5C2×#4111yescharacteristic
258C22×C3×C5C2×#4111yescharacteristic
259C22×C3×C5C2×#4111yescharacteristic
260C22×C3×C5H(5,𝔽2)11yescharacteristic
261C22×C3×C5H(5,𝔽2)11yescharacteristic
262C2×C5×D3—24no—
263C2×C5×D3—24no—
264C2×C5×D3—24no—
265C2×C5×D3—42no—
266C2×C5×D3—42no—
267C2×C5×D3—42no—
268C2×C5×D3—42no—
269C3×C4×C5—22no—
270C3×C4×C5C4×D414yes—
271Dic15—22no—
272Dic15—22no—
273Dic15—41no—
274Dic15—41no—
275C3×Dic5—24no—
276C3×Dic5—42no—
277C5×Dic3—24no—
278C24×C3C22×D511yescharacteristic
279C23×D3C22×D512yes—
280C22×C3×C4—22no—
281C22×C3×C4—22no—
282C22×C3×C4—52no—
283C22×C3×C4—52no—
284C22×C3×C4C2×Dic514yescomplemented
285C22×C3×C4C22×D511yescharacteristic
286C22×C3×C4C22×D511yescharacteristic
287C2×#67—42no—
288C2×#67—42no—
289C2×#67C2×Dic518yescomplemented
290C22×Dic3—51no—
291C22×Dic3—51no—
292C22×Dic3—51no—
293C22×Dic3—51no—
294C22×Dic3C22×D512yes—
295C2×D12—22no—
296C2×D12—22no—
297C2×D12C2×Dic514yes—
298C2×C4×D3—104no—
299C2×C4×D3—104no—
300C2×C4×D3—202no—
301C3×C4⋊C4—54no—
302C3×C4⋊C4—102no—
303C3×C22⋊C4—104no—
304C3×C42—104no—
305#217—102no—
306#217—102no—
307(C2×D3)⋊C4—104no—
308(C2×D3)⋊C4—104no—
309(C2×D3)⋊C4—202no—
310(C2×D3)⋊C4C2×Dic518yescomplemented
311C4⋊Dic3C2×Dic514yescomplemented
312Dic3⋊C4—202no—
313C4×Dic3—102no—
314C4×Dic3—102no—
315C4×Dic3—202no—
316C23×C5—21no—
317C23×C5—21no—
318C23×C5—21no—
319C23×C5—21no—
320C23×C5—21no—
321C23×C5—21no—
322C23×C5—34no—
323C23×C5—62no—
324C23×C5—62no—
325C23×C5—62no—
326C23×C5—62no—
327C23×C5—62no—
328C23×C5—62no—
329C23×C5C2×C4×D312yes—
330C23×C5C23×D311yescharacteristic
331C5×D4—68no—
332C5×D4—128no—
333C2×C4×C5—21no—
334C2×C4×C5—21no—
335C2×C4×C5—28no—
336C2×C4×C5—34no—
337C2×C4×C5—62no—
338C2×C4×C5—62no—
339C2×C4×C5C2×C4×D312yes—
340C2×C4×C5C2×C4×D312yes—
341C2×C4×C5#23512yes—
342C2×C4×C5C2×#6712yes—
343C2×Dic5—22no—
344C2×Dic5—22no—
345C2×Dic5—22no—
346C2×Dic5—22no—
347C2×Dic5—22no—
348C2×Dic5—32no—
349C2×Dic5—32no—
350C2×Dic5—61no—
351C2×Dic5—61no—
352C2×Dic5—61no—
353C2×Dic5—61no—
354C2×Dic5—61no—
355C2×Dic5—61no—
356C2×Dic5—61no—
357C2×Dic5—61no—
358C2×Dic5—61no—
359C2×Dic5—61no—
360C2×Dic5—128no—
361C2×Dic5C2×#6714yes—
362C22×D4—32no—
363C22×D4—31no—
364C23×C4—152no—
365C23×C4D3×D511yescharacteristic
366#121—38no—
367C4×D4—304no—
368#117—104no—
369C2×C4⋊C4—31no—
370C2×C4⋊C4—51no—
371C2×C4⋊C4—51no—
372C2×C4⋊C4—152no—
373C2×C22⋊C4—32no—
374C2×C22⋊C4—52no—
375C2×C22⋊C4—152no—
376C2×C22⋊C4—152no—
377C2×C22⋊C4—151no—
378C2×C22⋊C4—151no—
379C2×C22⋊C4—152no—
380C2×C42—52no—
381C2×C42—151no—
382C2×C42—151no—
383C2×C42—152no—
384#95—152no—
385#95—152no—
386#95—151no—
387#95—151no—
388C2×C3×C5—42no—
389C2×C3×C5C2×C4×D411yescharacteristic
390C2×C3×C5C4×#4111yescharacteristic
391C2×C3×C5#51811yescharacteristic
392C2×C3×C5#54611yescharacteristic
393C2×C3×C5#55011yescharacteristic
394C2×C3×C5#55311yescharacteristic
395C2×C3×C5#55511yescharacteristic
396C5×D3—44no—
397C23×C3—21no—
398C23×C3—21no—
399C23×C3—21no—
400C23×C3—21no—
401C23×C3—21no—
402C23×C3—21no—
403C23×C3C22×Dic512yes—
404C23×C3C23×D511yescharacteristic
405C22×D3—22no—
406C22×D3—22no—
407C22×D3—22no—
408C22×D3—22no—
409C22×D3—22no—
410C22×D3—22no—
411C22×D3C22×Dic514yes—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—28no—
415C2×C3×C4—54no—
416C2×C3×C4—102no—
417C2×C3×C4—102no—
418C2×C3×C4—102no—
419C2×C3×C4—102no—
420C2×C3×C4—102no—
421C2×C3×C4D4×D512yes—
422C2×C3×C4#71112yes—
423C2×C3×C4C22×Dic512yes—
424C2×C3×C4C22×Dic512yes—
425#67—48no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—52no—
429C2×Dic3—52no—
430C2×Dic3—101no—
431C2×Dic3—101no—
432C2×Dic3—101no—
433C2×Dic3—101no—
434C2×Dic3—101no—
435C2×Dic3—101no—
436C2×Dic3—101no—
437C2×Dic3—101no—
438C2×Dic3—101no—
439C2×Dic3—101no—
440C2×Dic3C22×Dic514yes—
441D12—28no—
442C4×D3—208no—
443C22×C5—22no—
444C22×C5—22no—
445C22×C5—22no—
446C22×C5—41no—
447C22×C5—41no—
448C22×C5—41no—
449C22×C5—41no—
450C22×C5—64no—
451C22×C5—64no—
452C22×C5—64no—
453C22×C5—122no—
454C22×C5—122no—
455C22×C5—122no—
456C22×C5—122no—
457C22×C5C22×C4×D311yescharacteristic
458C22×C5C2×#23511yescharacteristic
459C22×C5D3×#4111yescharacteristic
460C22×C5D3×#4111yescharacteristic
461C22×C5#100911yescharacteristic
462C22×C5#100911yescharacteristic
463C22×C5C22×#6711yescharacteristic
464C4×C5—22no—
465C4×C5—64no—
466C4×C5C4×#6714yes—
467Dic5—24no—
468Dic5—42no—
469Dic5—62no—
470Dic5—62no—
471Dic5—121no—
472Dic5—121no—
473C24—32no—
474C24C2×D3×D511yescharacteristic
475C2×D4—38no—
476C2×D4—34no—
477C2×D4—62no—
478C2×D4—62no—
479C2×D4—122no—
480C2×D4—122no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—32no—
484C22×C4—52no—
485C22×C4—52no—
486C22×C4—151no—
487C22×C4—151no—
488C22×C4—151no—
489C22×C4—151no—
490C22×C4—304no—
491C22×C4—304no—
492C22×C4—602no—
493C22×C4D3×Dic514yescomplemented
494C22×C4C2×D3×D511yescharacteristic
495C22×C4C2×D3×D511yescharacteristic
496C4⋊C4—34no—
497C4⋊C4—54no—
498C4⋊C4—102no—
499C4⋊C4—602no—
500C22⋊C4—38no—
501C22⋊C4—104no—
502C22⋊C4—304no—
503C22⋊C4—304no—
504C22⋊C4—302no—
505C22⋊C4—302no—
506C22⋊C4—602no—
507C42—104no—
508C42—302no—
509C42—302no—
510C42—602no—
511C3×C5#236311yescharacteristic, complemented, Hall
512C22×C3—22no—
513C22×C3—22no—
514C22×C3—22no—
515C22×C3—41no—
516C22×C3—41no—
517C22×C3—41no—
518C22×C3—41no—
519C22×C3C2×D4×D511yescharacteristic
520C22×C3C2×#71111yescharacteristic
521C22×C3#414411yescharacteristic
522C22×C3#414411yescharacteristic
523C22×C3D5×#4111yescharacteristic
524C22×C3D5×#4111yescharacteristic
525C22×C3C23×Dic511yescharacteristic
526C2×D3—24no—
527C2×D3—24no—
528C2×D3—24no—
529C2×D3—42no—
530C2×D3—42no—
531C2×D3—42no—
532C2×D3—42no—
533C3×C4—22no—
534C3×C4—104no—
535C3×C4—202no—
536C3×C4D4×Dic514yes—
537Dic3—24no—
538Dic3—102no—
539Dic3—102no—
540Dic3—201no—
541Dic3—201no—
542C2×C5—42no—
543C2×C5—124no—
544C2×C5#552111yescharacteristic
545C2×C5#552211yescharacteristic
546C2×C5#553011yescharacteristic
547C2×C5#553211yescharacteristic
548C2×C5C2×C4×#6711yescharacteristic
549C2×C5#582911yescharacteristic
550C2×C5#583411yescharacteristic
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—34no—
558C23—62no—
559C23—62no—
560C23—62no—
561C23—62no—
562C23—62no—
563C23—62no—
564C23C2×D3×Dic512yes—
565C23C22×D3×D511yescharacteristic
566D4—68no—
567D4—128no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—28no—
571C2×C4—34no—
572C2×C4—54no—
573C2×C4—62no—
574C2×C4—62no—
575C2×C4—102no—
576C2×C4—102no—
577C2×C4—102no—
578C2×C4—102no—
579C2×C4—102no—
580C2×C4—152no—
581C2×C4—152no—
582C2×C4—301no—
583C2×C4—301no—
584C2×C4—301no—
585C2×C4—301no—
586C2×C4—301no—
587C2×C4—301no—
588C2×C4—301no—
589C2×C4—301no—
590C2×C4—301no—
591C2×C4—301no—
592C2×C4—608no—
593C2×C4C2×D3×Dic512yes—
594C2×C4C2×D3×Dic512yes—
595C2×C4#678212yes—
596C2×C4D5×#6712yes—
597C2×C3—42no—
598C2×C3#6593311yescharacteristic
599C2×C3#6594611yescharacteristic
600C2×C3#6594811yescharacteristic
601C2×C3#6595011yescharacteristic
602C2×C3C2×D4×Dic511yescharacteristic
603C2×C3#6613211yescharacteristic
604C2×C3#41×Dic511yescharacteristic
605D3—44no—
606C5#8224411yescharacteristic, complemented, Sylow
607C22—22no—
608C22—22no—
609C22—22no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—64no—
615C22—64no—
616C22—64no—
617C22—122no—
618C22—122no—
619C22—122no—
620C22—122no—
621C22#9201611yescharacteristic
622C22#9201611yescharacteristic
623C22#9201811yescharacteristic
624C22#9201811yescharacteristic
625C22C22×D3×Dic511yescharacteristic
626C22C2×#678211yescharacteristic
627C22C2×D5×#6711yescharacteristic
628C4—22no—
629C4—64no—
630C4—104no—
631C4—202no—
632C4—302no—
633C4—302no—
634C4—601no—
635C4—601no—
636C4Dic5×#6714yes—
637C3#1061436811yescharacteristic, complemented, Sylow
638C2—42no—
639C2—124no—
640C2#1175445511yescharacteristic
641C2#1175445711yescharacteristic
642C2#1175446711yescharacteristic
643C2#1175450311yescharacteristic
644C2#1175452911yescharacteristic
645C2#1175464111yescharacteristic
646C2C2×Dic5×#6711yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC23×C3×C4×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC2×C5×#930C2
hypercenterC23×C4D3×D5
hypocenterC3×C5#2363
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C2×C3×#4072C2semidirect
3. C2×#91435C2semidirect
4. C4×#6719C2semidirect
5. #11749519C2semidirect
6. #11749482C2semidirect
7. Dic5×(C2×D3)⋊C4C2semidirect
8. #11748868C2semidirect
9. #11748797C2semidirect
10. #11748747C2semidirect
11. #11748699C2semidirect
21. C5×#930C4semidirect
42. C2×#4072D3semidirect
55. C22×C3×C4×C5C2×C4semidirect
64. C2×C5×#67C2×C4semidirect
78. C5×(C2×D3)⋊C4C2×C4semidirect
79. C5×C4⋊Dic3C2×C4semidirect
82. C3×C4⋊Dic5D4semidirect
184. #930Dic5semidirect
210. C22×C4×C5C4×D3semidirect
232. C4⋊Dic5#67semidirect
284. C22×C3×C4C2×Dic5semidirect
289. C2×#67C2×Dic5semidirect
310. (C2×D3)⋊C4C2×Dic5semidirect
311. C4⋊Dic3C2×Dic5semidirect
493. C22×C4D3×Dic5semidirect
511. C3×C5#2363semidirect
606. C5#82244semidirect
637. C3#10614368semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#9302
C2×C3×#40722
C2×#914352
C4×#67192
#117495192
#117494822
Dic5×(C2×D3)⋊C42
#117488682
#117487972
#117487472
#117486992
#106143683
#822445