Finite Group Databasebeta

← #14323434

Subgroups — #14323434

Order 1920.

1616 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C5×#67C211yesmaximal, characteristic, complemented
2C22×C3×#685C211yesmaximal, characteristic, complemented
3C2×#91563C211yesmaximal, characteristic
4C4×#6719C211yesmaximal, characteristic, complemented
5#11749508C211yesmaximal, characteristic, complemented
6#11749492C211yesmaximal, characteristic, complemented
7#11749488C211yesmaximal, characteristic, complemented
8#11748915C212yesmaximal, complemented
9#11748910C212yesmaximal, complemented
10#11748709C212yesmaximal, complemented
11#11748705C212yesmaximal, complemented
12#10614126—31nomaximal, Hall
13C24×C3×D5C2211yescharacteristic
14C23×C3×C4×C5C2211yescharacteristic
15C22×C5×#67C2211yescharacteristic
16C22×C4×C5×D3C2211yescharacteristic, complemented
17C23×C3×Dic5C2211yescharacteristic
18C22×#1201C2212yes—
19C2×#6719C2211yescharacteristic
20C2×#6719C2211yescharacteristic
21C2×C4×Dic15C2212yescomplemented
22C2×C5×#217C2211yescharacteristic
23C4×C5×#67—24no—
24C2×C5×(C2×D3)⋊C4C2211yescharacteristic, complemented
25C2×C5×Dic3⋊C4C2211yescharacteristic, complemented
26C2×C4×C5×Dic3C2211yescharacteristic, complemented
27C2×C3×#685—24no—
28C2×C3×#685C2212yes—
29C2×C3×#685C2212yes—
30#91563C418yescomplemented
31C2×#6669C2212yescomplemented
32C2×(C2×D3)⋊Dic5C2212yescomplemented
33C2×#6665C2212yes—
34C2×#6665C2212yes—
35C2×#6665C2212yes—
36#91115C2212yescomplemented
37#90994C2212yescomplemented
38#90994C2212yescomplemented
39#82096—51nomaximal, Hall
40C2×C4×C5×D4—31no—
41C2×#4083—31no—
42C22×#685D311yescharacteristic, complemented
43#65509—31no—
44#65502—32no—
45C4×C22⋊Dic5—31no—
46#65279—32no—
47#65246—32no—
48#65244—31no—
49#65235—31no—
50#65229—32no—
51C24×C3×C5C2311yescharacteristic
52C23×C5×D3C2311yescharacteristic
53C23×C3×D5—22no—
54C23×C3×D5—22no—
55C23×C3×D5—42no—
56C23×C3×D5—42no—
57C23×C3×D5C2×C414yescomplemented
58C23×C3×D5C2312yes—
59C22×C3×C4×C5—42no—
60C22×C3×C4×C5D414yescomplemented
61C22×C3×C4×C5C2311yescharacteristic
62C22×C3×C4×C5C2311yescharacteristic
63C22×Dic15C2312yes—
64C22×Dic15C2312yes—
65C2×C5×#67—22no—
66C2×C5×#67—22no—
67C2×C5×#67C2×C414yes—
68C22×C5×Dic3C2311yescharacteristic
69C22×C5×Dic3C2311yescharacteristic
70C22×C5×Dic3C2311yescharacteristic
71C2×C4×C5×D3—22no—
72C2×C4×C5×D3—42no—
73C22×C3×Dic5—22no—
74C22×C3×Dic5—42no—
75C22×C3×Dic5C2312yes—
76C2×#1201—42no—
77C2×#1201—42no—
78C2×#1201C2×C418yescomplemented
79#6719—22no—
80#6719C2×C414yescomplemented
81C4×Dic15—42no—
82C5×#217—22no—
83C5×(C2×D3)⋊C4—22no—
84C5×Dic3⋊C4—22no—
85C4×C5×Dic3—22no—
86C3×#685—24no—
87C3×#685—24no—
88#6669—42no—
89(C2×D3)⋊Dic5—42no—
90#6665—42no—
91#6665—42no—
92#6665C2×C418yescomplemented
93C22×C3×C22⋊C4—51no—
94C2×#953—51no—
95C2×C4×#67D511yescharacteristic, complemented
96#5247—51no—
97#5213—51no—
98#5210—51no—
99C4×#217—51no—
100#4957—52no—
101#4956—52no—
102#4945—52no—
103#4944—52no—
104C24×D5C2×D311yescharacteristic
105C22×C5×D4—31no—
106C23×C4×C5—31no—
107C23×C4×C5C2×D311yescharacteristic
108C22×C22⋊D5—32no—
109C23×Dic5C2×D311yescharacteristic
110C4×C5×D4—64no—
111C2×C5×C4⋊C4—31no—
112C2×C5×C22⋊C4—31no—
113C2×C5×C22⋊C4—31no—
114C2×C42×C5—31no—
115C2×C22⋊Dic5—31no—
116C2×C22⋊Dic5—31no—
117C2×C22⋊Dic5—32no—
118#4083—38no—
119C2×#685—24no—
120C2×#685—32no—
121C2×#685—32no—
122C2×#685—32no—
123C2×#685C2×D312yes—
124C2×#685C2×D312yes—
125C2×#683—32no—
126C2×C4×Dic5—32no—
127#3963—32no—
128#3963—32no—
129#3963—32no—
130#2321—151noSylow
131C23×C3×C5—22no—
132C23×C3×C5—22no—
133C23×C3×C5C22×C412yes—
134C23×C3×C5C2×D412yes—
135C23×C3×C5#4112yes—
136C23×C3×C5C2411yescharacteristic
137C22×C5×D3—21no—
138C22×C5×D3—21no—
139C22×C5×D3—22no—
140C22×C5×D3—22no—
141C22×C5×D3C22×C412yes—
142C22×C3×D5—28no—
143C22×C3×D5—22no—
144C22×C3×D5—22no—
145C22×C3×D5—22no—
146C22×C3×D5—22no—
147C22×C3×D5—22no—
148C22×C3×D5—22no—
149C22×C3×D5—48no—
150C22×C3×D5—44no—
151C22×C3×D5—44no—
152C22×C3×D5—48no—
153C22×C3×D5C22×C414yes—
154C2×C3×C4×C5—22no—
155C2×C3×C4×C5—22no—
156C2×C3×C4×C5—44no—
157C2×C3×C4×C5C2×D412yes—
158C2×C3×C4×C5C2×D412yes—
159C2×Dic15—22no—
160C2×Dic15—22no—
161C2×Dic15—22no—
162C2×Dic15—22no—
163C2×Dic15—22no—
164C2×Dic15C22×C414yes—
165C5×#67—28no—
166C2×C5×Dic3—21no—
167C2×C5×Dic3—21no—
168C2×C5×Dic3—21no—
169C2×C5×Dic3—21no—
170C2×C5×Dic3—22no—
171C2×C5×Dic3—22no—
172C2×C5×Dic3C22×C412yes—
173C4×C5×D3—44no—
174C2×C3×Dic5—22no—
175C2×C3×Dic5—22no—
176C2×C3×Dic5—22no—
177C2×C3×Dic5—44no—
178#1201—48no—
179C25×C3—51no—
180C23×C3×C4—51no—
181C23×C3×C4C2×D511yescharacteristic
182C22×#67—52no—
183C22×#67C2×D511yescharacteristic
184C22×C4×D3C2×D511yescharacteristic, complemented
185C2×C3×C22⋊C4—52no—
186C2×C3×C22⋊C4—52no—
187C2×C3×C22⋊C4—104no—
188#953—58no—
189C2×#217—51no—
190C2×#217—52no—
191C2×#217—51no—
192C2×#217—52no—
193C2×#217—52no—
194C2×#217C2×D511yescharacteristic
195C4×#67—24no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4C2×D511yescharacteristic, complemented
198C2×Dic3⋊C4—52no—
199C2×Dic3⋊C4C2×D511yescharacteristic, complemented
200C2×C4×Dic3—52no—
201C2×C4×Dic3C2×D511yescharacteristic, complemented
202C3⋊#95—52no—
203C3⋊#95—52no—
204C3⋊#95—52no—
205C24×C5—31no—
206C24×C5C22×D311yescharacteristic
207C23×D5—22no—
208C23×D5—22no—
209C23×D5—42no—
210C23×D5—42no—
211C23×D5C4×D314yescomplemented
212C23×D5C22×D312yes—
213C2×C5×D4—34no—
214C2×C5×D4—62no—
215C2×C5×D4—62no—
216C22×C4×C5—31no—
217C22×C4×C5—31no—
218C22×C4×C5—31no—
219C22×C4×C5—42no—
220C22×C4×C5—62no—
221C22×C4×C5—122no—
222C22×C4×C5#6714yescomplemented
223C22×C4×C5C22×D311yescharacteristic
224C22×C4×C5C22×D311yescharacteristic
225C2×C22⋊D5—38no—
226C2×C22⋊D5—122no—
227C2×C22⋊D5—122no—
228C22×Dic5—22no—
229C22×Dic5—32no—
230C22×Dic5—32no—
231C22×Dic5—42no—
232C22×Dic5C22×D312yes—
233C5×C4⋊C4—62no—
234C5×C22⋊C4—62no—
235C5×C22⋊C4—62no—
236C42×C5—62no—
237C22⋊Dic5—34no—
238C22⋊Dic5—62no—
239C22⋊Dic5—122no—
240#685—24no—
241#685—24no—
242#685—38no—
243#685—122no—
244#685—122no—
245#683—122no—
246C4×Dic5—122no—
247C2×#120—151no—
248C2×C4×D4—31no—
249C22×C22⋊C4—51no—
250#390—152no—
251#388—152no—
252#388—152no—
253#386—152no—
254#386—151no—
255#385—151no—
256#379—151no—
257C4×C22⋊C4—151no—
258C22×C3×C5—24no—
259C22×C3×C5—22no—
260C22×C3×C5—22no—
261C22×C3×C5—24no—
262C22×C3×C5C4×D414yes—
263C22×C3×C5C23×C411yescharacteristic
264C22×C3×C5C22×D411yescharacteristic
265C22×C3×C5C2×#4111yescharacteristic
266C22×C3×C5H(5,𝔽2)12yes—
267C22×C3×C5H(5,𝔽2)12yes—
268C2×C5×D3—22no—
269C2×C5×D3—24no—
270C2×C5×D3—41no—
271C2×C5×D3—41no—
272C2×C5×D3—42no—
273C2×C3×D5—24no—
274C2×C3×D5—24no—
275C2×C3×D5—24no—
276C2×C3×D5—416no—
277C2×C3×D5—42no—
278C2×C3×D5—42no—
279C2×C3×D5—42no—
280C2×C3×D5—42no—
281C3×C4×C5—22no—
282C3×C4×C5—22no—
283Dic15—24no—
284Dic15—42no—
285C3×Dic5—42no—
286C5×Dic3—22no—
287C5×Dic3—41no—
288C5×Dic3—41no—
289C24×C3—52no—
290C24×C3—54no—
291C24×C3—102no—
292C24×C3—102no—
293C24×C3—202no—
294C24×C3—202no—
295C24×C3C22×D511yescharacteristic
296C23×D3C22×D511yescharacteristic
297C22×C3×C4—42no—
298C22×C3×C4—52no—
299C22×C3×C4—102no—
300C22×C3×C4—202no—
301C22×C3×C4C22⋊D514yescomplemented
302C22×C3×C4C22×D511yescharacteristic
303C22×C3×C4C22×D511yescharacteristic
304C2×#67—22no—
305C2×#67—22no—
306C2×#67—58no—
307C2×#67—202no—
308C2×#67—202no—
309C2×#67C4×D514yes—
310C22×Dic3—52no—
311C22×Dic3—52no—
312C22×Dic3C22×D511yescharacteristic
313C22×Dic3C22×D511yescharacteristic
314C22×Dic3C22×D511yescharacteristic
315C2×C4×D3—22no—
316C2×C4×D3—42no—
317C3×C22⋊C4—104no—
318C3×C22⋊C4—104no—
319#217—22no—
320#217—54no—
321#217—58no—
322#217—102no—
323#217—202no—
324#217—202no—
325(C2×D3)⋊C4—22no—
326(C2×D3)⋊C4—202no—
327Dic3⋊C4—22no—
328Dic3⋊C4—202no—
329C4×Dic3—22no—
330C4×Dic3—202no—
331C23×C5—22no—
332C23×C5—22no—
333C23×C5—32no—
334C23×C5—61no—
335C23×C5—62no—
336C23×C5—62no—
337C23×C5—61no—
338C23×C5C2×C4×D312yes—
339C23×C5#23512yes—
340C23×C5C2×#6712yes—
341C23×C5C23×D311yescharacteristic
342C22×D5—28no—
343C22×D5—22no—
344C22×D5—22no—
345C22×D5—22no—
346C22×D5—22no—
347C22×D5—22no—
348C22×D5—22no—
349C22×D5—48no—
350C22×D5—48no—
351C22×D5—44no—
352C22×D5—44no—
353C22×D5C2×C4×D314yes—
354C5×D4—68no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—32no—
358C2×C4×C5—44no—
359C2×C4×C5—61no—
360C2×C4×C5—61no—
361C2×C4×C5—62no—
362C2×C4×C5—62no—
363C2×C4×C5—61no—
364C2×C4×C5—61no—
365C2×C4×C5—124no—
366C2×C4×C5C2×#6712yes—
367C2×C4×C5C2×#6712yes—
368C22⋊D5—128no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—34no—
373C2×Dic5—44no—
374C2×Dic5—62no—
375C2×Dic5—62no—
376C2×Dic5—62no—
377C2×Dic5—62no—
378C2×Dic5—62no—
379C25—51no—
380C22×D4—31no—
381C22×D4—152no—
382C23×C4—31no—
383C23×C4—51no—
384C23×C4D3×D511yescharacteristic
385#120—158no—
386C4×D4—64no—
387C2×C4⋊C4—31no—
388C2×C4⋊C4—152no—
389C2×C22⋊C4—31no—
390C2×C22⋊C4—31no—
391C2×C22⋊C4—52no—
392C2×C22⋊C4—52no—
393C2×C22⋊C4—104no—
394C2×C22⋊C4—152no—
395C2×C22⋊C4—151no—
396C2×C22⋊C4—151no—
397C2×C22⋊C4—152no—
398C2×C22⋊C4—152no—
399C2×C22⋊C4—152no—
400C2×C42—31no—
401C2×C42—152no—
402#95—152no—
403#95—152no—
404#95—152no—
405C2×C3×C5—24no—
406C2×C3×C5C2×C4×D411yescharacteristic
407C2×C3×C5#51812yes—
408C2×C3×C5#53411yescharacteristic
409C2×C3×C5#53511yescharacteristic
410C2×C3×C5#53812yes—
411C3×D5—44no—
412C5×D3—42no—
413C23×C3—22no—
414C23×C3—22no—
415C23×C3—54no—
416C23×C3—102no—
417C23×C3—102no—
418C23×C3—102no—
419C23×C3—102no—
420C23×C3—102no—
421C23×C3—102no—
422C23×C3—108no—
423C23×C3—208no—
424C23×C3—204no—
425C23×C3—208no—
426C23×C3—204no—
427C23×C3C2×C4×D512yes—
428C23×C3#70912yes—
429C23×C3C2×C22⋊D512yes—
430C23×C3C23×D511yescharacteristic
431C22×D3—21no—
432C22×D3—22no—
433C22×D3—22no—
434C22×D3—21no—
435C22×D3C2×C4×D512yes—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—44no—
439C2×C3×C4—102no—
440C2×C3×C4—102no—
441C2×C3×C4—102no—
442C2×C3×C4—204no—
443C2×C3×C4C2×C22⋊D512yes—
444C2×C3×C4C2×C22⋊D512yes—
445#67—28no—
446#67—208no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—54no—
454C2×Dic3—102no—
455C2×Dic3—102no—
456C2×Dic3—102no—
457C2×Dic3—102no—
458C2×Dic3—102no—
459C2×Dic3C2×C4×D512yes—
460C4×D3—44no—
461C22×C5—24no—
462C22×C5—24no—
463C22×C5—22no—
464C22×C5—22no—
465C22×C5—64no—
466C22×C5—62no—
467C22×C5—122no—
468C22×C5—121no—
469C22×C5—121no—
470C22×C5C4×#6714yes—
471C22×C5C22×C4×D311yescharacteristic
472C22×C5C2×#23511yescharacteristic
473C22×C5#100412yes—
474C22×C5#100412yes—
475C22×C5C22×#6711yescharacteristic
476C2×D5—24no—
477C2×D5—24no—
478C2×D5—24no—
479C2×D5—416no—
480C2×D5—42no—
481C2×D5—42no—
482C2×D5—42no—
483C2×D5—42no—
484C4×C5—22no—
485C4×C5—22no—
486C4×C5—62no—
487C4×C5—121no—
488C4×C5—121no—
489Dic5—42no—
490Dic5—64no—
491Dic5—122no—
492C24—31no—
493C24—52no—
494C24—54no—
495C24—102no—
496C24—102no—
497C24—202no—
498C24—202no—
499C24C2×D3×D511yescharacteristic
500C2×D4—34no—
501C2×D4—62no—
502C2×D4—62no—
503C2×D4—158no—
504C2×D4—602no—
505C2×D4—602no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—31no—
509C22×C4—42no—
510C22×C4—52no—
511C22×C4—62no—
512C22×C4—102no—
513C22×C4—122no—
514C22×C4—152no—
515C22×C4—152no—
516C22×C4—202no—
517C22×C4#120114yescomplemented
518C22×C4C2×D3×D511yescharacteristic
519C22×C4C2×D3×D511yescharacteristic
520C4⋊C4—62no—
521C4⋊C4—602no—
522C22⋊C4—62no—
523C22⋊C4—62no—
524C22⋊C4—104no—
525C22⋊C4—104no—
526C22⋊C4—158no—
527C22⋊C4—154no—
528C22⋊C4—302no—
529C22⋊C4—602no—
530C22⋊C4—602no—
531C22⋊C4—602no—
532C42—62no—
533C42—602no—
534C3×C5#232111yescharacteristic, complemented, Hall
535C22×C3—24no—
536C22×C3—22no—
537C22×C3—24no—
538C22×C3—22no—
539C22×C3—104no—
540C22×C3—104no—
541C22×C3—104no—
542C22×C3—2016no—
543C22×C3—202no—
544C22×C3—202no—
545C22×C3—202no—
546C22×C3—202no—
547C22×C3C4×C22⋊D514yes—
548C22×C3C22×C4×D511yescharacteristic
549C22×C3C2×#70911yescharacteristic
550C22×C3#414412yes—
551C22×C3#414912yes—
552C22×C3C22×C22⋊D511yescharacteristic
553C2×D3—22no—
554C2×D3—24no—
555C2×D3—41no—
556C2×D3—42no—
557C2×D3—41no—
558C3×C4—22no—
559C3×C4—22no—
560C3×C4—202no—
561Dic3—22no—
562Dic3—41no—
563Dic3—41no—
564Dic3—104no—
565Dic3—202no—
566C2×C5—24no—
567C2×C5—122no—
568C2×C5#548612yes—
569C2×C5#549412yes—
570C2×C5C2×C4×#6711yescharacteristic
571C2×C5#580411yescharacteristic
572C2×C5#580511yescharacteristic
573D5—44no—
574C23—22no—
575C23—22no—
576C23—32no—
577C23—54no—
578C23—61no—
579C23—62no—
580C23—61no—
581C23—62no—
582C23—108no—
583C23—102no—
584C23—102no—
585C23—102no—
586C23—102no—
587C23—102no—
588C23—102no—
589C23—208no—
590C23—208no—
591C23—204no—
592C23—204no—
593C23#677112yes—
594C23C4×D3×D512yes—
595C23C2×#120112yes—
596C23C22×D3×D511yescharacteristic
597D4—68no—
598D4—608no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—32no—
602C2×C4—44no—
603C2×C4—61no—
604C2×C4—61no—
605C2×C4—62no—
606C2×C4—61no—
607C2×C4—61no—
608C2×C4—62no—
609C2×C4—102no—
610C2×C4—102no—
611C2×C4—102no—
612C2×C4—124no—
613C2×C4—154no—
614C2×C4—204no—
615C2×C4—302no—
616C2×C4—302no—
617C2×C4—302no—
618C2×C4—302no—
619C2×C4—302no—
620C2×C4C2×#120112yes—
621C2×C4C2×#120112yes—
622C2×C3—24no—
623C2×C3—204no—
624C2×C3#6587912yes—
625C2×C3#6589412yes—
626C2×C3C2×C4×C22⋊D511yescharacteristic
627C2×C3#6613811yescharacteristic
628C2×C3#6616411yescharacteristic
629D3—42no—
630C5#8209611yescharacteristic, complemented, Sylow
631C22—24no—
632C22—22no—
633C22—24no—
634C22—22no—
635C22—62no—
636C22—64no—
637C22—104no—
638C22—104no—
639C22—104no—
640C22—122no—
641C22—121no—
642C22—121no—
643C22—2016no—
644C22—202no—
645C22—202no—
646C22—202no—
647C22—202no—
648C22C4×#120114yes—
649C22C2×#677111yescharacteristic
650C22C2×C4×D3×D511yescharacteristic
651C22#9201712yes—
652C22C22×#120111yescharacteristic
653C22#9204912yes—
654C4—22no—
655C4—22no—
656C4—62no—
657C4—121no—
658C4—121no—
659C4—202no—
660C4—304no—
661C4—602no—
662C3#1061412611yescharacteristic, complemented, Sylow
663C2—24no—
664C2—122no—
665C2—204no—
666C2C2×C4×#120111yescharacteristic
667C2#1175459312yes—
668C2#1175460011yescharacteristic
669C2#1175462512yes—
670C2#1175542611yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC23×C3×C4×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC2×#91563C2
hypercenterC23×C4D3×D5
hypocenterC3×C5#2321
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C2×C4×C5×#67C2semidirect
2. C22×C3×#685C2semidirect
4. C4×#6719C2semidirect
5. #11749508C2semidirect
6. #11749492C2semidirect
7. #11749488C2semidirect
8. #11748915C2semidirect
9. #11748910C2semidirect
10. #11748709C2semidirect
11. #11748705C2semidirect
16. C22×C4×C5×D3C22semidirect
21. C2×C4×Dic15C22semidirect
24. C2×C5×(C2×D3)⋊C4C22semidirect
25. C2×C5×Dic3⋊C4C22semidirect
26. C2×C4×C5×Dic3C22semidirect
30. #91563C4semidirect
31. C2×#6669C22semidirect
32. C2×(C2×D3)⋊Dic5C22semidirect
36. #91115C22semidirect
37. #90994C22semidirect
38. #90994C22semidirect
42. C22×#685D3semidirect
57. C23×C3×D5C2×C4semidirect
60. C22×C3×C4×C5D4semidirect
78. C2×#1201C2×C4semidirect
80. #6719C2×C4semidirect
92. #6665C2×C4semidirect
95. C2×C4×#67D5semidirect
184. C22×C4×D3C2×D5semidirect
197. C2×(C2×D3)⋊C4C2×D5semidirect
199. C2×Dic3⋊C4C2×D5semidirect
201. C2×C4×Dic3C2×D5semidirect
211. C23×D5C4×D3semidirect
222. C22×C4×C5#67semidirect
301. C22×C3×C4C22⋊D5semidirect
517. C22×C4#1201semidirect
534. C3×C5#2321semidirect
630. C5#82096semidirect
662. C3#10614126semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C5×#672
C22×C3×#6852
C2×#915632
C4×#67192
#117495082
#117494922
#117494882
#117489152
#117489102
#117487092
#117487052
#106141263
#820965