Finite Group Databasebeta

← #12272425

Subgroups — #12272425

Order 1280.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2449C211yesmaximal, characteristic
2#10614542C211yesmaximal, characteristic, complemented
3#10614513C211yesmaximal, characteristic, complemented
4#10614494C211yesmaximal, characteristic, complemented
5#10614476C211yesmaximal, characteristic, complemented
6#10614091C211yesmaximal, characteristic
7C4×D4×Dic5C211yesmaximal, characteristic
8#10613905C211yesmaximal, characteristic, complemented
9C2×#65261C211yesmaximal, characteristic, complemented
10#10609791C211yesmaximal, characteristic, complemented
11#10609751C211yesmaximal, characteristic, complemented
12#10609573C211yesmaximal, characteristic, complemented
13#10609498C211yesmaximal, characteristic, complemented
14#10609078C211yesmaximal, characteristic, complemented
15#10609036C211yesmaximal, characteristic, complemented
16#10608943C211yesmaximal, characteristic, complemented
17#10608906C211yesmaximal, characteristic, complemented
18#10607921C211yesmaximal, characteristic, complemented
19#10607813C211yesmaximal, characteristic, complemented
20#10607022C211yesmaximal, characteristic, complemented
21#10606826C211yesmaximal, characteristic, complemented
22#10606469C211yesmaximal, characteristic
23#10606424C211yesmaximal, characteristic
24#10606394C211yesmaximal, characteristic
25#10606394C211yesmaximal, characteristic
26#10606320C211yesmaximal, characteristic, complemented
27#10606205C211yesmaximal, characteristic, complemented
28#10606191C211yesmaximal, characteristic, complemented
29#10606171C211yesmaximal, characteristic, complemented
30#10606118C211yesmaximal, characteristic, complemented
31#10606112C211yesmaximal, characteristic, complemented
32C2×C5×C22⋊Q8C2211yescharacteristic
33C2×C5×C22⋊Q8C2211yescharacteristic
34C2×C4×C5×D4C2211yescharacteristic
35C22×C5×C4⋊C4C2211yescharacteristic
36C2×#4090C2211yescharacteristic
37C2×D4×Dic5C2211yescharacteristic
38C2×D4×Dic5C2211yescharacteristic
39C2×#4070C2211yescharacteristic
40C22×#683C2211yescharacteristic
41C22×#683C2211yescharacteristic
42C22×#683C2211yescharacteristic
43C22×C4×Dic5C2211yescharacteristic
44C22×C4×Dic5C2211yescharacteristic
45C2×#4035C2211yescharacteristic
46C2×#4035C2211yescharacteristic
47C2×#4033C2211yescharacteristic
48C2×#4024C2211yescharacteristic
49C2×#4024C2211yescharacteristic
50C2×#4024C2211yescharacteristic
51C5×#399C2211yescharacteristic
52C5×#398C2211yescharacteristic
53C5×#396C2211yescharacteristic
54C5×#395C2211yescharacteristic
55C5×#389C2211yescharacteristic
56C5×#387C2211yescharacteristic
57C5×#386C2211yescharacteristic
58C5×#386C2211yescharacteristic
59C5×#385C2211yescharacteristic
60C5×#385C2211yescharacteristic
61C5×#385C2211yescharacteristic
62#65519C2211yescharacteristic
63#65519C2211yescharacteristic
64#65518C2211yescharacteristic
65#65509C2211yescharacteristic
66#65509C2211yescharacteristic
67#65501C2211yescharacteristic
68#65499C2211yescharacteristic
69#65499C2211yescharacteristic
70#65499C2211yescharacteristic
71#65499C2211yescharacteristic
72#65499C2211yescharacteristic
73C4×C22⋊Dic5C2211yescharacteristic
74C4×C22⋊Dic5C2211yescharacteristic
75C2×#3963C2211yescharacteristic
76C2×#3963C2211yescharacteristic
77#65274C2211yescharacteristic
78#65274C2211yescharacteristic
79#65273C2211yescharacteristic
80#65273C2211yescharacteristic
81#65273C2211yescharacteristic
82#65273C2211yescharacteristic
83#65273C2211yescharacteristic
84#65272C2211yescharacteristic
85#65272C2211yescharacteristic
86#65271C2211yescharacteristic
87#65270C2211yescharacteristic
88#65270C2211yescharacteristic
89#65270C2211yescharacteristic
90#65270C2211yescharacteristic
91#65270C2211yescharacteristic
92#65269C2211yescharacteristic
93#65269C2211yescharacteristic
94#65269C2211yescharacteristic
95#65268C2211yescharacteristic
96#65268C2211yescharacteristic
97#65267C2211yescharacteristic
98#65267C2211yescharacteristic
99#65267C2211yescharacteristic
100#65265C2211yescharacteristic
101#65265C2211yescharacteristic
102#65265C2211yescharacteristic
103C4⋊C4×Dic5C2211yescharacteristic
104C4⋊C4×Dic5C2211yescharacteristic
105C4⋊C4×Dic5C2211yescharacteristic
106#65263C2211yescharacteristic
107#65262C2211yescharacteristic
108#65261C2211yescharacteristic
109#65261C2211yescharacteristic
110#65261C2211yescharacteristic
111#65261C2211yescharacteristic
112#65261C2211yescharacteristic
113#65261C2211yescharacteristic
114#65261C2211yescharacteristic
115#65261C2211yescharacteristic
116#65261C2211yescharacteristic
117#65261C2211yescharacteristic
118#65261C2211yescharacteristic
119#65261C2211yescharacteristic
120#65261C2211yescharacteristic
121#65261C2211yescharacteristic
122#65239C2211yescharacteristic
123#65239C2211yescharacteristic
124#65238C2211yescharacteristic
125#65238C2211yescharacteristic
126#65238C2211yescharacteristic
127#65237C2211yescharacteristic
128#65237C2211yescharacteristic
129#65237C2211yescharacteristic
130#65235C2211yescharacteristic
131#65235C2211yescharacteristic
132#65234C2211yescharacteristic
133#65234C2211yescharacteristic
134#65233C2211yescharacteristic
135#65233C2211yescharacteristic
136#65232C2211yescharacteristic
137#65232C2211yescharacteristic
138#65231C2211yescharacteristic
139#65231C2211yescharacteristic
140#65231C2211yescharacteristic
141#65231C2211yescharacteristic
142#65231C2211yescharacteristic
143#65231C2211yescharacteristic
144#65231C2211yescharacteristic
145C22⋊C4×Dic5C2211yescharacteristic
146C22⋊C4×Dic5C2211yescharacteristic
147C22⋊C4×Dic5C2211yescharacteristic
148C22⋊C4×Dic5C2211yescharacteristic
149C22⋊C4×Dic5C2211yescharacteristic
150C22⋊C4×Dic5C2211yescharacteristic
151C4×C4⋊Dic5C2211yescharacteristic
152#65222C2211yescharacteristic
153C42×Dic5C2211yescharacteristic
154#65217C2211yescharacteristic
155#64950C2211yescharacteristic
156#64949C2211yescharacteristic
157#64949C2211yescharacteristic
158#64947C2211yescharacteristic
159#64946C2211yescharacteristic
160#64946C2211yescharacteristic
161#64946C2211yescharacteristic
162#64946C2211yescharacteristic
163#64943C2211yescharacteristic
164#64943C2211yescharacteristic
165#64942C2211yescharacteristic
166#64942C2211yescharacteristic
167#64942C2211yescharacteristic
168#64942C2211yescharacteristic
169#64942C2211yescharacteristic
170#64941C2211yescharacteristic
171#64941C2211yescharacteristic
172#64941C2211yescharacteristic
173#64940C2211yescharacteristic
174#64940C2211yescharacteristic
175#64939C2211yescharacteristic
176#64939C2211yescharacteristic
177#64938C2211yescharacteristic
178#64938C2211yescharacteristic
179#64936C2211yescharacteristic
180#64936C2211yescharacteristic
181#64936C2211yescharacteristic
182#64935C2211yescharacteristic
183#64935C2211yescharacteristic
184#64935C2211yescharacteristic
185#64935C2211yescharacteristic
186#64935C2211yescharacteristic
187#35017—51nomaximal, Sylow
188C22×C5×Q8C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C23×Dic5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C23×Dic5C2311yescharacteristic
199C23×Dic5C2311yescharacteristic
200C22×Dic10C2311yescharacteristic
201C22×Dic10C2311yescharacteristic
202C5×C22⋊Q8—24no—
203C5×C22⋊Q8—42no—
204C4×C5×D4—24no—
205C2×C5×C4⋊C4—42no—
206C2×C5×C4⋊C4C2311yescharacteristic
207C2×C5×C4⋊C4C2311yescharacteristic
208C2×C5×C4⋊C4C2311yescharacteristic
209C2×C5×C4⋊C4C2311yescharacteristic
210C2×C5×C4⋊C4C2311yescharacteristic
211C2×C5×C4⋊C4C2311yescharacteristic
212C2×C5×C4⋊C4C2311yescharacteristic
213C2×C5×C4⋊C4C2311yescharacteristic
214C2×C5×C4⋊C4C2311yescharacteristic
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C22⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C5×C22⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C42×C5C2311yescharacteristic
227C2×C22⋊Dic5C2311yescharacteristic
228C2×C22⋊Dic5C2311yescharacteristic
229C2×C22⋊Dic5C2311yescharacteristic
230C2×C22⋊Dic5C2311yescharacteristic
231C2×C22⋊Dic5C2311yescharacteristic
232C2×C22⋊Dic5C2311yescharacteristic
233C2×C22⋊Dic5C2311yescharacteristic
234C2×C22⋊Dic5C2311yescharacteristic
235C2×C22⋊Dic5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237#4090—42no—
238D4×Dic5—24no—
239D4×Dic5Q818yescomplemented
240C2×C4⋊Dic5C2311yescharacteristic
241C2×C4⋊Dic5C2311yescharacteristic
242C2×C4⋊Dic5C2311yescharacteristic
243C2×C4⋊Dic5C2311yescharacteristic
244C2×C4⋊Dic5C2311yescharacteristic
245C2×C4⋊Dic5C2311yescharacteristic
246C2×C4⋊Dic5C2311yescharacteristic
247C2×C4⋊Dic5C2311yescharacteristic
248C2×C4⋊Dic5C2311yescharacteristic
249C2×C4⋊Dic5C2311yescharacteristic
250#4070—42no—
251C2×#683—24no—
252C2×#683—42no—
253C2×#683—42no—
254C2×#683C2311yescharacteristic
255C2×#683C2311yescharacteristic
256C2×#683C2311yescharacteristic
257C2×#683C2311yescharacteristic
258C2×#683C2311yescharacteristic
259C2×#683C2311yescharacteristic
260C2×#683C2311yescharacteristic
261C2×#683C2311yescharacteristic
262C2×#683C2311yescharacteristic
263C2×#683C2311yescharacteristic
264C2×#683C2311yescharacteristic
265C2×#683C2311yescharacteristic
266C2×#683C2311yescharacteristic
267C2×#683C2311yescharacteristic
268C2×#683C2311yescharacteristic
269C2×#683C2311yescharacteristic
270C2×#683C2311yescharacteristic
271C2×#683C2311yescharacteristic
272C2×#683C2311yescharacteristic
273C2×#683C2311yescharacteristic
274C2×#683C2311yescharacteristic
275C2×#683C2311yescharacteristic
276C2×#683C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×C4×Dic5—42no—
287C2×C4×Dic5—42no—
288C2×C4×Dic5C2311yescharacteristic
289C2×C4×Dic5C2311yescharacteristic
290C2×C4×Dic5C2311yescharacteristic
291C2×C4×Dic5C2311yescharacteristic
292C2×C4×Dic5C2311yescharacteristic
293C2×C4×Dic5C2311yescharacteristic
294C2×C4×Dic5C2311yescharacteristic
295C2×C4×Dic5C2311yescharacteristic
296C2×C4×Dic5C2311yescharacteristic
297C2×C4×Dic5C2311yescharacteristic
298C2×C4×Dic5C2311yescharacteristic
299C2×C4×Dic5C2311yescharacteristic
300C2×C4×Dic5C2311yescharacteristic
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304#4035—42no—
305#4035—42no—
306#4033—42no—
307#4024—24no—
308#4024—24no—
309#4024—42no—
310C5×#95C2311yescharacteristic
311C5×#95C2311yescharacteristic
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318#3963C2311yescharacteristic
319#3963C2311yescharacteristic
320#3963C2311yescharacteristic
321#3963C2311yescharacteristic
322#3963C2311yescharacteristic
323#3963C2311yescharacteristic
324#3963C2311yescharacteristic
325#3963C2311yescharacteristic
326#3963C2311yescharacteristic
327#3963C2311yescharacteristic
328#3963C2311yescharacteristic
329#3963C2311yescharacteristic
330#3963C2311yescharacteristic
331#3963C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#2863—51no—
363#2859—51no—
364#2857—51no—
365#2855—51no—
366#2667—51no—
367#2667—51no—
368#2666—51no—
369#2666—51no—
370#2585—51no—
371#2585—51no—
372#2556—51no—
373#2556—51no—
374#2507—51no—
375#2502—51no—
376#2497—51no—
377#2487—51no—
378#2473—51no—
379#2473—51no—
380#2451—51no—
381#2449—51no—
382#2449D511yescharacteristic
383#2440—51no—
384#2423—51no—
385#2417—51no—
386#2329—51no—
387#2329—51no—
388#2318—51no—
389#2318—51no—
390C4×C22⋊Q8—51no—
391C2×#389—51no—
392C42×D4—51no—
393C24×C5C2411yescharacteristic
394C24×C5C2411yescharacteristic
395C2×C5×Q8—22no—
396C2×C5×Q8—41no—
397C2×C5×Q8—41no—
398C2×C5×D4—22no—
399C2×C5×D4—22no—
400C2×C5×D4C2×Q814yes—
401C22×C4×C5—22no—
402C22×C4×C5—22no—
403C22×C4×C5—22no—
404C22×C4×C5—22no—
405C22×C4×C5—22no—
406C22×C4×C5—22no—
407C22×C4×C5—41no—
408C22×C4×C5—41no—
409C22×C4×C5—41no—
410C22×C4×C5—41no—
411C22×C4×C5—41no—
412C22×C4×C5—41no—
413C22×C4×C5C2411yescharacteristic
414C22×C4×C5C2411yescharacteristic
415C22×C4×C5C2411yescharacteristic
416C22×C4×C5C2411yescharacteristic
417C22×C4×C5C2411yescharacteristic
418C22×C4×C5C2411yescharacteristic
419C22×C4×C5C2411yescharacteristic
420C22×C4×C5C2411yescharacteristic
421C22×C4×C5C2411yescharacteristic
422C22×C4×C5C2411yescharacteristic
423C22×C4×C5C2411yescharacteristic
424C22×C4×C5C2411yescharacteristic
425C22×C4×C5C2411yescharacteristic
426C22×Dic5—22no—
427C22×Dic5—22no—
428C22×Dic5—22no—
429C22×Dic5—22no—
430C22×Dic5—22no—
431C22×Dic5—22no—
432C22×Dic5—22no—
433C22×Dic5—41no—
434C22×Dic5—41no—
435C22×Dic5—41no—
436C22×Dic5—41no—
437C22×Dic5—41no—
438C22×Dic5—41no—
439C22×Dic5—41no—
440C22×Dic5—41no—
441C22×Dic5C2×Q814yes—
442C22×Dic5C2×Q814yes—
443C22×Dic5#4114yes—
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C22×Dic5C2411yescharacteristic
449C22×Dic5C2411yescharacteristic
450C22×Dic5C2411yescharacteristic
451C22×Dic5C2411yescharacteristic
452C22×Dic5C2411yescharacteristic
453C22×Dic5C2411yescharacteristic
454C22×Dic5C2411yescharacteristic
455C22×Dic5C2411yescharacteristic
456C22×Dic5C2411yescharacteristic
457C22×Dic5C2411yescharacteristic
458C22×Dic5C2411yescharacteristic
459C22×Dic5C2411yescharacteristic
460C2×Dic10—22no—
461C2×Dic10—22no—
462C2×Dic10—22no—
463C2×Dic10—22no—
464C2×Dic10—41no—
465C2×Dic10—41no—
466C5×C4⋊C4—22no—
467C5×C4⋊C4—22no—
468C5×C4⋊C4—22no—
469C5×C4⋊C4—22no—
470C5×C4⋊C4—22no—
471C5×C4⋊C4—22no—
472C5×C4⋊C4—22no—
473C5×C4⋊C4—41no—
474C5×C4⋊C4—41no—
475C5×C4⋊C4—41no—
476C5×C4⋊C4—41no—
477C5×C4⋊C4—41no—
478C5×C22⋊C4—22no—
479C5×C22⋊C4—22no—
480C5×C22⋊C4—22no—
481C5×C22⋊C4—41no—
482C5×C22⋊C4—41no—
483C5×C22⋊C4—41no—
484C5×C22⋊C4—41no—
485C5×C22⋊C4#4114yes—
486C42×C5—22no—
487C22⋊Dic5—22no—
488C22⋊Dic5—22no—
489C22⋊Dic5—22no—
490C22⋊Dic5—22no—
491C22⋊Dic5—41no—
492C22⋊Dic5—41no—
493C22⋊Dic5—41no—
494C22⋊Dic5—41no—
495C22⋊Dic5C2×Q814yes—
496C22⋊Dic5C2×Q814yes—
497C4⋊Dic5—22no—
498C4⋊Dic5—22no—
499C4⋊Dic5—22no—
500C4⋊Dic5—41no—
501C4⋊Dic5—41no—
502C4⋊Dic5—41no—
503C4⋊Dic5—41no—
504C4⋊Dic5—41no—
505C4⋊Dic5—41no—
506C4⋊Dic5C2×Q814yes—
507#683—22no—
508#683—22no—
509#683—22no—
510#683—22no—
511#683—22no—
512#683—22no—
513#683—22no—
514#683—22no—
515#683—22no—
516#683—22no—
517#683—22no—
518#683—22no—
519#683—22no—
520#683—22no—
521#683—22no—
522#683—41no—
523#683—41no—
524#683—41no—
525#683—41no—
526#683—41no—
527#683—41no—
528#683—41no—
529#683—41no—
530#683—41no—
531#683—41no—
532#683—41no—
533#683—41no—
534#683—41no—
535#683—41no—
536#683—41no—
537#683—41no—
538#683—41no—
539C4×Dic5—22no—
540C4×Dic5—22no—
541C4×Dic5—22no—
542C4×Dic5—22no—
543C4×Dic5—22no—
544C4×Dic5—22no—
545C4×Dic5—41no—
546C4×Dic5—41no—
547C4×Dic5—41no—
548C4×Dic5—41no—
549C4×Dic5—41no—
550C4×Dic5—41no—
551C4×Dic5—41no—
552C4×Dic5—41no—
553C4×Dic5—41no—
554C4×Dic5C2×Q814yes—
555C2×C4⋊Q8—51no—
556C2×#125—51no—
557C2×#125—51no—
558C2×C22⋊Q8—51no—
559C2×C22⋊Q8—51no—
560C2×C22⋊Q8—51no—
561C2×C22⋊Q8—51no—
562C2×C22⋊Q8C2×D511yescharacteristic
563C2×C22⋊Q8C2×D511yescharacteristic
564C2×C4×Q8—51no—
565C2×C4×D4—51no—
566C2×C4×D4—51no—
567C2×C4×D4C2×D511yescharacteristic
568C22×C4⋊C4—51no—
569C22×C4⋊C4—51no—
570C22×C4⋊C4—51no—
571C22×C4⋊C4C2×D511yescharacteristic
572C22×C42—51no—
573C22×C42—51no—
574#400—51no—
575#400—51no—
576#400—51no—
577#400—51no—
578#399—51no—
579#399—51no—
580#399—51no—
581#399C2×D511yescharacteristic
582#398—51no—
583#398—51no—
584#398—51no—
585#398—51no—
586#398—51no—
587#398—51no—
588#398—51no—
589#398—51no—
590#398—51no—
591#398—51no—
592#398—51no—
593#398—51no—
594#398—51no—
595#398—51no—
596#398—51no—
597#398C2×D511yescharacteristic
598#396—51no—
599#396—51no—
600#396—51no—
601#396C2×D511yescharacteristic
602#395—51no—
603#395—51no—
604#395—51no—
605#395C2×D511yescharacteristic
606#391—51no—
607#391—51no—
608#391—51no—
609#391—51no—
610#391—51no—
611#391—51no—
612#391—51no—
613#391—51no—
614#389—51no—
615#389—51no—
616#389—51no—
617#389—51no—
618#389—51no—
619#389—51no—
620#389—51no—
621#389—51no—
622#389—51no—
623#389—51no—
624#389—51no—
625#389—51no—
626#389—51no—
627#389—51no—
628#389—51no—
629#389—51no—
630#389—51no—
631#389—51no—
632#389—51no—
633#389—51no—
634#389—51no—
635#389C2×D511yescharacteristic
636#388—51no—
637#388—51no—
638#388—51no—
639#388—51no—
640#387—51no—
641#387—51no—
642#387—51no—
643#387—51no—
644#387—51no—
645#387—51no—
646#387—51no—
647#387—51no—
648#387—51no—
649#387—51no—
650#387—51no—
651#387—51no—
652#387—51no—
653#387—51no—
654#387—51no—
655#387—51no—
656#387—51no—
657#387—51no—
658#387—51no—
659#387C2×D511yescharacteristic
660#386—51no—
661#386—51no—
662#386C2×D511yescharacteristic
663#386C2×D511yescharacteristic
664#385—51no—
665#385—51no—
666#385—51no—
667#385—51no—
668#385—51no—
669#385—51no—
670#385—51no—
671#385—51no—
672#385—51no—
673#385C2×D511yescharacteristic
674#385C2×D511yescharacteristic
675#385C2×D511yescharacteristic
676#384—51no—
677#384—51no—
678#384—51no—
679#383—51no—
680#383—51no—
681#382—51no—
682#382—51no—
683#381—51no—
684#381—51no—
685#380—51no—
686#380—51no—
687#380—51no—
688#380—51no—
689#380—51no—
690#380—51no—
691#380—51no—
692#380—51no—
693C4×C4⋊C4—51no—
694C4×C4⋊C4—51no—
695C4×C4⋊C4—51no—
696C4×C4⋊C4—51no—
697C4×C4⋊C4—51no—
698C4×C4⋊C4—51no—
699C4×C22⋊C4—51no—
700C4×C22⋊C4—51no—
701C4×C22⋊C4—51no—
702C4×C22⋊C4—51no—
703C4×C22⋊C4—51no—
704C4×C22⋊C4—51no—
705C4×C22⋊C4—51no—
706C4×C22⋊C4—51no—
707C2×#95—51no—
708C2×#95—51no—
709C43—51no—
710C23×C5—21no—
711C23×C5—21no—
712C23×C5—21no—
713C23×C5—21no—
714C23×C5—21no—
715C23×C5—21no—
716C23×C5—21no—
717C23×C5—21no—
718C23×C5—21no—
719C23×C5—21no—
720C23×C5C22×Q812yes—
721C23×C5C22×Q812yes—
722C23×C5C2×#4112yes—
723C23×C5C2×#4112yes—
724C23×C5C2511yescharacteristic
725C5×Q8—82no—
726C5×D4—28no—
727C2×C4×C5—21no—
728C2×C4×C5—21no—
729C2×C4×C5—21no—
730C2×C4×C5—21no—
731C2×C4×C5—21no—
732C2×C4×C5—21no—
733C2×C4×C5—21no—
734C2×C4×C5—21no—
735C2×C4×C5—21no—
736C2×C4×C5—21no—
737C2×C4×C5—21no—
738C2×C4×C5—21no—
739C2×C4×C5—21no—
740C2×C4×C5—21no—
741C2×C4×C5—21no—
742C2×C4×C5—21no—
743C2×C4×C5—21no—
744C2×C4×C5—21no—
745C2×C4×C5—21no—
746C2×C4×C5—21no—
747C2×C4×C5—21no—
748C2×C4×C5—21no—
749C2×C4×C5—21no—
750C2×C4×C5—21no—
751C2×C4×C5—21no—
752C2×C4×C5—21no—
753C2×C4×C5—21no—
754C2×C4×C5—21no—
755C2×C4×C5—21no—
756C2×C4×C5—21no—
757C2×C4×C5—21no—
758C2×C4×C5—21no—
759C2×C4×C5—21no—
760C2×C4×C5—21no—
761C2×C4×C5—21no—
762C2×C4×C5—44no—
763C2×C4×C5—44no—
764C2×C4×C5—44no—
765C2×C4×C5—82no—
766C2×C4×C5C22×Q812yes—
767C2×C4×C5C2×#4112yes—
768C2×C4×C5C2×#4112yes—
769C2×C4×C5H(5,𝔽2)12yes—
770C2×Dic5—21no—
771C2×Dic5—21no—
772C2×Dic5—21no—
773C2×Dic5—21no—
774C2×Dic5—21no—
775C2×Dic5—21no—
776C2×Dic5—21no—
777C2×Dic5—21no—
778C2×Dic5—21no—
779C2×Dic5—21no—
780C2×Dic5—28no—
781C2×Dic5—21no—
782C2×Dic5—21no—
783C2×Dic5—21no—
784C2×Dic5—21no—
785C2×Dic5—21no—
786C2×Dic5—21no—
787C2×Dic5—21no—
788C2×Dic5—21no—
789C2×Dic5—21no—
790C2×Dic5—21no—
791C2×Dic5—21no—
792C2×Dic5—21no—
793C2×Dic5—21no—
794C2×Dic5—21no—
795C2×Dic5—21no—
796C2×Dic5—21no—
797C2×Dic5—21no—
798C2×Dic5—21no—
799C2×Dic5—21no—
800C2×Dic5—21no—
801C2×Dic5—21no—
802C2×Dic5—21no—
803C2×Dic5—21no—
804C2×Dic5—21no—
805C2×Dic5—21no—
806C2×Dic5—21no—
807C2×Dic5—21no—
808C2×Dic5—21no—
809C2×Dic5—21no—
810C2×Dic5—21no—
811C2×Dic5—44no—
812C2×Dic5—44no—
813C2×Dic5—44no—
814C2×Dic5—44no—
815C2×Dic5—82no—
816C2×Dic5C22×Q812yes—
817C2×Dic5C22×Q812yes—
818C2×Dic5C22×Q812yes—
819C2×Dic5C22×Q812yes—
820C2×Dic5C2×#4112yes—
821C2×Dic5C2×#4112yes—
822C2×Dic5H(5,𝔽2)12yes—
823C2×Dic52−1+412yes—
824Dic10—44no—
825Dic10—82no—
826C22×Q8—51no—
827C22×Q8—51no—
828C22×Q8C22×D511yescharacteristic
829C22×D4C22×D511yescharacteristic
830C23×C4—51no—
831C23×C4—51no—
832C23×C4—51no—
833C23×C4—51no—
834C23×C4—51no—
835C23×C4—51no—
836C23×C4C22×D511yescharacteristic
837C23×C4C22×D511yescharacteristic
838C23×C4C22×D511yescharacteristic
839C23×C4C22×D511yescharacteristic
840C4⋊Q8—202no—
841#125—202no—
842#125—202no—
843C22⋊Q8—24no—
844C22⋊Q8—42no—
845C22⋊Q8—104no—
846C22⋊Q8—104no—
847C22⋊Q8—202no—
848C22⋊Q8—202no—
849C4×Q8—202no—
850C4×D4—24no—
851C4×D4—58no—
852C4×D4—104no—
853C2×C4⋊C4—42no—
854C2×C4⋊C4—51no—
855C2×C4⋊C4—51no—
856C2×C4⋊C4—51no—
857C2×C4⋊C4—51no—
858C2×C4⋊C4—51no—
859C2×C4⋊C4—51no—
860C2×C4⋊C4—51no—
861C2×C4⋊C4—51no—
862C2×C4⋊C4—51no—
863C2×C4⋊C4—51no—
864C2×C4⋊C4—51no—
865C2×C4⋊C4—51no—
866C2×C4⋊C4—51no—
867C2×C4⋊C4—51no—
868C2×C4⋊C4—51no—
869C2×C4⋊C4—51no—
870C2×C4⋊C4—51no—
871C2×C4⋊C4—51no—
872C2×C4⋊C4—51no—
873C2×C4⋊C4—51no—
874C2×C4⋊C4—51no—
875C2×C4⋊C4—51no—
876C2×C4⋊C4—51no—
877C2×C4⋊C4—51no—
878C2×C4⋊C4—51no—
879C2×C4⋊C4—51no—
880C2×C4⋊C4—51no—
881C2×C4⋊C4—51no—
882C2×C4⋊C4—51no—
883C2×C4⋊C4—51no—
884C2×C4⋊C4—51no—
885C2×C4⋊C4—51no—
886C2×C4⋊C4—51no—
887C2×C4⋊C4—51no—
888C2×C4⋊C4—51no—
889C2×C4⋊C4—51no—
890C2×C4⋊C4—51no—
891C2×C4⋊C4—51no—
892C2×C4⋊C4—51no—
893C2×C4⋊C4—51no—
894C2×C4⋊C4—51no—
895C2×C4⋊C4—51no—
896C2×C4⋊C4—104no—
897C2×C4⋊C4—202no—
898C2×C4⋊C4—202no—
899C2×C4⋊C4C22×D511yescharacteristic
900C2×C4⋊C4C22×D511yescharacteristic
901C2×C4⋊C4C22×D511yescharacteristic
902C2×C4⋊C4C22×D511yescharacteristic
903C2×C4⋊C4C22×D511yescharacteristic
904C2×C4⋊C4C22×D511yescharacteristic
905C2×C4⋊C4C22×D511yescharacteristic
906C2×C4⋊C4C22×D511yescharacteristic
907C2×C4⋊C4C22×D511yescharacteristic
908C2×C4⋊C4C22×D511yescharacteristic
909C2×C4⋊C4C22×D511yescharacteristic
910C2×C4⋊C4C22×D511yescharacteristic
911C2×C22⋊C4—51no—
912C2×C22⋊C4—51no—
913C2×C22⋊C4—51no—
914C2×C22⋊C4—51no—
915C2×C22⋊C4—51no—
916C2×C22⋊C4—51no—
917C2×C22⋊C4—51no—
918C2×C22⋊C4—51no—
919C2×C22⋊C4—51no—
920C2×C22⋊C4—51no—
921C2×C22⋊C4C22×D511yescharacteristic
922C2×C22⋊C4C22×D511yescharacteristic
923C2×C22⋊C4C22×D511yescharacteristic
924C2×C22⋊C4C22×D511yescharacteristic
925C2×C22⋊C4C22×D511yescharacteristic
926C2×C22⋊C4C22×D511yescharacteristic
927C2×C22⋊C4C22×D511yescharacteristic
928C2×C22⋊C4C22×D511yescharacteristic
929C2×C42—51no—
930C2×C42—51no—
931C2×C42—51no—
932C2×C42—51no—
933C2×C42—51no—
934C2×C42—51no—
935C2×C42—51no—
936C2×C42—51no—
937C2×C42—51no—
938C2×C42—51no—
939C2×C42—51no—
940C2×C42—51no—
941C2×C42—51no—
942C2×C42—51no—
943C2×C42—51no—
944C2×C42—51no—
945C2×C42—202no—
946C2×C42—202no—
947C2×C42C22×D511yescharacteristic
948#95—51no—
949#95—51no—
950#95—51no—
951#95—51no—
952#95—51no—
953#95—51no—
954#95—51no—
955#95—51no—
956#95—51no—
957#95—51no—
958#95—51no—
959#95—51no—
960#95—51no—
961#95—51no—
962#95—51no—
963#95—51no—
964#95—51no—
965#95—51no—
966#95—51no—
967#95—51no—
968#95—51no—
969#95—51no—
970#95—51no—
971#95—51no—
972#95—51no—
973#95—51no—
974#95—51no—
975#95—51no—
976#95—51no—
977#95—51no—
978#95—51no—
979#95—51no—
980#95—51no—
981#95—51no—
982#95—51no—
983#95—51no—
984#95—51no—
985#95—51no—
986#95—51no—
987#95—51no—
988#95—51no—
989#95—51no—
990#95—51no—
991#95—51no—
992#95C22×D511yescharacteristic
993#95C22×D511yescharacteristic
994#95C22×D511yescharacteristic
995#95C22×D511yescharacteristic
996#95C22×D511yescharacteristic
997#95C22×D511yescharacteristic
998#95C22×D511yescharacteristic
999#95C22×D511yescharacteristic
1000C22×C5—22no—
1001C22×C5—22no—
1002C22×C5—22no—
1003C22×C5—22no—
1004C22×C5—22no—
1005C22×C5—22no—
1006C22×C5—22no—
1007C22×C5—22no—
1008C22×C5—22no—
1009C22×C5—41no—
1010C22×C5—41no—
1011C22×C5—41no—
1012C22×C5—41no—
1013C22×C5#53314yes—
1014C22×C5C23×Q811yescharacteristic
1015C22×C5C22×#4111yescharacteristic
1016C22×C5C22×#4111yescharacteristic
1017C22×C5C2×H(5,𝔽2)11yescharacteristic
1018C22×C5C2×H(5,𝔽2)11yescharacteristic
1019C22×C5C2×2−1+411yescharacteristic
1020C22×C5#58511yescharacteristic
1021C4×C5—22no—
1022C4×C5—22no—
1023C4×C5—22no—
1024C4×C5—22no—
1025C4×C5—41no—
1026C4×C5—41no—
1027C4×C5—41no—
1028C4×C5—41no—
1029C4×C5—41no—
1030C4×C5—41no—
1031C4×C5—41no—
1032C4×C5—41no—
1033C4×C5—41no—
1034Dic5—22no—
1035Dic5—22no—
1036Dic5—22no—
1037Dic5—22no—
1038Dic5—22no—
1039Dic5—41no—
1040Dic5—41no—
1041Dic5—41no—
1042Dic5—41no—
1043Dic5—41no—
1044Dic5—41no—
1045Dic5—41no—
1046Dic5—41no—
1047Dic5—41no—
1048Dic5—41no—
1049Dic5#53914yes—
1050C24C23×D511yescharacteristic
1051C24C23×D511yescharacteristic
1052C2×Q8—22no—
1053C2×Q8—41no—
1054C2×Q8—41no—
1055C2×Q8—102no—
1056C2×Q8—102no—
1057C2×Q8—102no—
1058C2×Q8—102no—
1059C2×Q8—201no—
1060C2×Q8—201no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4Q8×D514yes—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—51no—
1077C22×C4—54no—
1078C22×C4—51no—
1079C22×C4—51no—
1080C22×C4—51no—
1081C22×C4—51no—
1082C22×C4—51no—
1083C22×C4—54no—
1084C22×C4—54no—
1085C22×C4—51no—
1086C22×C4—51no—
1087C22×C4—51no—
1088C22×C4—51no—
1089C22×C4—51no—
1090C22×C4—51no—
1091C22×C4—51no—
1092C22×C4—51no—
1093C22×C4—51no—
1094C22×C4—51no—
1095C22×C4—102no—
1096C22×C4—102no—
1097C22×C4—102no—
1098C22×C4—102no—
1099C22×C4—102no—
1100C22×C4—102no—
1101C22×C4—102no—
1102C22×C4—201no—
1103C22×C4—201no—
1104C22×C4—201no—
1105C22×C4—201no—
1106C22×C4—201no—
1107C22×C4—201no—
1108C22×C4—201no—
1109C22×C4—201no—
1110C22×C4C23×D511yescharacteristic
1111C22×C4C23×D511yescharacteristic
1112C22×C4C23×D511yescharacteristic
1113C22×C4C23×D511yescharacteristic
1114C22×C4C23×D511yescharacteristic
1115C22×C4C23×D511yescharacteristic
1116C22×C4C23×D511yescharacteristic
1117C22×C4C23×D511yescharacteristic
1118C22×C4C23×D511yescharacteristic
1119C22×C4C23×D511yescharacteristic
1120C22×C4C23×D511yescharacteristic
1121C22×C4C23×D511yescharacteristic
1122C22×C4C23×D511yescharacteristic
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—54no—
1136C4⋊C4—102no—
1137C4⋊C4—102no—
1138C4⋊C4—102no—
1139C4⋊C4—102no—
1140C4⋊C4—102no—
1141C4⋊C4—102no—
1142C4⋊C4—102no—
1143C4⋊C4—102no—
1144C4⋊C4—102no—
1145C4⋊C4—102no—
1146C4⋊C4—102no—
1147C4⋊C4—102no—
1148C4⋊C4—102no—
1149C4⋊C4—102no—
1150C4⋊C4—102no—
1151C4⋊C4—102no—
1152C4⋊C4—102no—
1153C4⋊C4—102no—
1154C4⋊C4—201no—
1155C4⋊C4—201no—
1156C4⋊C4—201no—
1157C4⋊C4—201no—
1158C4⋊C4—201no—
1159C4⋊C4—201no—
1160C4⋊C4—201no—
1161C4⋊C4—201no—
1162C4⋊C4—201no—
1163C4⋊C4—201no—
1164C4⋊C4—201no—
1165C4⋊C4—201no—
1166C4⋊C4—201no—
1167C4⋊C4—201no—
1168C4⋊C4—201no—
1169C4⋊C4—201no—
1170C4⋊C4—201no—
1171C4⋊C4—201no—
1172C4⋊C4—201no—
1173C4⋊C4—201no—
1174C4⋊C4—201no—
1175C4⋊C4—201no—
1176C4⋊C4—201no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—54no—
1185C22⋊C4—54no—
1186C22⋊C4—102no—
1187C22⋊C4—102no—
1188C22⋊C4—102no—
1189C22⋊C4—102no—
1190C22⋊C4—201no—
1191C22⋊C4—201no—
1192C22⋊C4—201no—
1193C22⋊C4—201no—
1194C22⋊C4#71114yes—
1195C42—22no—
1196C42—54no—
1197C42—102no—
1198C42—102no—
1199C42—102no—
1200C42—102no—
1201C42—102no—
1202C42—102no—
1203C42—201no—
1204C42—201no—
1205C42—201no—
1206C42—201no—
1207C42—201no—
1208C42—201no—
1209C42—201no—
1210C42—201no—
1211C42—201no—
1212C2×C5—24no—
1213C2×C5—42no—
1214C2×C5C2×#53311yescharacteristic
1215C2×C5C2×#53911yescharacteristic
1216C2×C5#346011yescharacteristic
1217C2×C5#350111yescharacteristic
1218C2×C5#350311yescharacteristic
1219C2×C5#351511yescharacteristic
1220C2×C5#351911yescharacteristic
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23C2×#71112yes—
1232C23C2×Q8×D512yes—
1233C23C2×Q8×D512yes—
1234C23D5×#4112yes—
1235C23C24×D511yescharacteristic
1236Q8—82no—
1237Q8—204no—
1238Q8—402no—
1239D4—28no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—44no—
1276C2×C4—44no—
1277C2×C4—44no—
1278C2×C4—52no—
1279C2×C4—52no—
1280C2×C4—52no—
1281C2×C4—52no—
1282C2×C4—52no—
1283C2×C4—52no—
1284C2×C4—52no—
1285C2×C4—52no—
1286C2×C4—82no—
1287C2×C4—108no—
1288C2×C4—101no—
1289C2×C4—101no—
1290C2×C4—101no—
1291C2×C4—101no—
1292C2×C4—101no—
1293C2×C4—101no—
1294C2×C4—101no—
1295C2×C4—101no—
1296C2×C4—101no—
1297C2×C4—101no—
1298C2×C4—101no—
1299C2×C4—101no—
1300C2×C4—101no—
1301C2×C4—101no—
1302C2×C4—101no—
1303C2×C4—101no—
1304C2×C4—101no—
1305C2×C4—101no—
1306C2×C4—101no—
1307C2×C4—101no—
1308C2×C4—101no—
1309C2×C4—101no—
1310C2×C4—101no—
1311C2×C4—101no—
1312C2×C4—101no—
1313C2×C4—101no—
1314C2×C4—101no—
1315C2×C4—101no—
1316C2×C4—101no—
1317C2×C4—101no—
1318C2×C4—101no—
1319C2×C4—101no—
1320C2×C4—101no—
1321C2×C4—101no—
1322C2×C4—101no—
1323C2×C4—101no—
1324C2×C4—101no—
1325C2×C4—101no—
1326C2×C4—101no—
1327C2×C4—101no—
1328C2×C4—204no—
1329C2×C4—204no—
1330C2×C4—204no—
1331C2×C4—204no—
1332C2×C4—402no—
1333C2×C4C2×#71112yes—
1334C2×C4C2×#71112yes—
1335C2×C4#414412yes—
1336C2×C4C2×Q8×D512yes—
1337C5#3501711yescharacteristic, complemented, Sylow
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—22no—
1345C22—22no—
1346C22—22no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22#6595614yes—
1352C22C22×#71111yescharacteristic
1353C22C2×#414411yescharacteristic
1354C22C22×Q8×D511yescharacteristic
1355C22C2×D5×#4111yescharacteristic
1356C22#6628311yescharacteristic
1357C22D5×H(5,𝔽2)11yescharacteristic
1358C22D5×2−1+411yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—54no—
1373C4—102no—
1374C4—102no—
1375C4—102no—
1376C4—102no—
1377C4—102no—
1378C4—201no—
1379C4—201no—
1380C4—201no—
1381C4—201no—
1382C4—201no—
1383C4—201no—
1384C4—201no—
1385C4—201no—
1386C4—201no—
1387C4—201no—
1388C2—24no—
1389C2—42no—
1390C2C2×#6595611yescharacteristic
1391C2#1061792111yescharacteristic
1392C2D5×#53911yescharacteristic
1393C2#1061851211yescharacteristic
1394C2#1061858311yescharacteristic
1395C2#1061864811yescharacteristic
1396C2#1061885011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2449C2
prime radicalC22×C5×D4C23
hypercenter#2449D5
hypocenterC5#35017
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
2. #10614542C2semidirect
3. #10614513C2semidirect
4. #10614494C2semidirect
5. #10614476C2semidirect
8. #10613905C2semidirect
9. C2×#65261C2semidirect
10. #10609791C2semidirect
11. #10609751C2semidirect
12. #10609573C2semidirect
13. #10609498C2semidirect
14. #10609078C2semidirect
15. #10609036C2semidirect
16. #10608943C2semidirect
17. #10608906C2semidirect
18. #10607921C2semidirect
19. #10607813C2semidirect
20. #10607022C2semidirect
21. #10606826C2semidirect
26. #10606320C2semidirect
27. #10606205C2semidirect
28. #10606191C2semidirect
29. #10606171C2semidirect
30. #10606118C2semidirect
31. #10606112C2semidirect
239. D4×Dic5Q8semidirect
1337. C5#35017semidirect

Maximal subgroups

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

subgroupindex
C5×#24492
#106145422
#106145132
#106144942
#106144762
#106140912
C4×D4×Dic52
#106139052
C2×#652612
#106097912
#106097512
#106095732
#106094982
#106090782
#106090362
#106089432
#106089062
#106079212
#106078132
#106070222
#106068262
#106064692
#106064242
#106063942
#106063202
#106062052
#106061912
#106061712
#106061182
#106061122
#350175