Finite Group Databasebeta

← #13007323

Subgroups — #13007323

Order 1280.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3444C211yesmaximal, characteristic, complemented
2#10618186C212yesmaximal, complemented
3#10618181C211yesmaximal, characteristic, complemented
4#10618177C212yesmaximal, complemented
5#10618160C211yesmaximal, characteristic, complemented
6#10618148C212yesmaximal, complemented
7#10618142C211yesmaximal, characteristic, complemented
8#10618139C212yesmaximal, complemented
9#10618124C211yesmaximal, characteristic, complemented
10#10618068C212yesmaximal, complemented
11#10618067C212yesmaximal, complemented
12#10618062C214yesmaximal, complemented
13#10618061C214yesmaximal, complemented
14#10618059C214yesmaximal, complemented
15#10618054C214yesmaximal, complemented
16#10618048C214yesmaximal, complemented
17#10617944C214yesmaximal, complemented
18#10617940C212yesmaximal, complemented
19D5×#525C214yesmaximal, complemented
20#10617925C212yesmaximal, complemented
21#10617744C214yesmaximal, complemented
22#10617741C212yesmaximal, complemented
23#41×D20C212yesmaximal, complemented
24#10617739C212yesmaximal, complemented
25C4×#4149C212yesmaximal, complemented
26#10617581C211yesmaximal, characteristic, complemented
27C22×C4×D20C211yesmaximal, characteristic, complemented
28C2×#4149C2212yes—
29C2×D5×#41C2214yescomplemented
30C23×D20C2211yescharacteristic
31C23×C4×D5C2212yescomplemented
32C5×#533C2211yescharacteristic, complemented
33C5×#533C2211yescharacteristic, complemented
34C5×#533C2211yescharacteristic, complemented
35C5×#532C2211yescharacteristic, complemented
36C5×#532C2211yescharacteristic, complemented
37C5×#532C2211yescharacteristic, complemented
38C5×#529C2212yescomplemented
39C5×#529C2212yescomplemented
40C5×#529C2212yescomplemented
41C5×#529C2212yescomplemented
42C5×#529C2212yescomplemented
43C5×#529C2212yescomplemented
44C5×#525C2212yescomplemented
45C5×#525C2212yescomplemented
46C5×#525C2212yescomplemented
47C4×C5×#41C2212yescomplemented
48C4×C5×#41C2212yescomplemented
49C4×C5×#41C2212yescomplemented
50C22×C42×C5C2211yescharacteristic, complemented
51#66167C2212yescomplemented
52#66164C2212yescomplemented
53#66163C2218yescomplemented
54#66162C2214yescomplemented
55#66161C2212yescomplemented
56#66125C2212yescomplemented
57#66125C2212yescomplemented
58#66125C2212yescomplemented
59C22×#685C2212yescomplemented
60C22×C4⋊Dic5C2211yescharacteristic, complemented
61#66068C2212yescomplemented
62#66066C2212yescomplemented
63#66064C2212yescomplemented
64#66061C2212yescomplemented
65#66060C2212yescomplemented
66#66060C2212yescomplemented
67#66052C2212yescomplemented
68#66051C2212yescomplemented
69#66043C2218yescomplemented
70#66041C2218yescomplemented
71#66039C2218yescomplemented
72#66038C2218yescomplemented
73#66029C2214yescomplemented
74#66029C2214yescomplemented
75#66028C2214yescomplemented
76#66026C2218yescomplemented
77#66024C2214yescomplemented
78#66015C2214yescomplemented
79#66012C2218yescomplemented
80#66011C2214yescomplemented
81#66010C2214yescomplemented
82#66010C2214yescomplemented
83#65999C2218yescomplemented
84#65992C2218yescomplemented
85#65990C2218yescomplemented
86#65988C2218yescomplemented
87#65987C2218yescomplemented
88D5×#123C2218yescomplemented
89#65978C2214yescomplemented
90#65976C2214yescomplemented
91#65971C2218yescomplemented
92#65969C2214yescomplemented
93#65968C2214yescomplemented
94#65964C2214yescomplemented
95#65964C2214yescomplemented
96#65961C2214yescomplemented
97#65961C2214yescomplemented
98D5×C22⋊Q8C2214yescomplemented
99D5×C22⋊Q8C2214yescomplemented
100#65952C2214yescomplemented
101#65951C2214yescomplemented
102#65945C2214yescomplemented
103#65944C2218yescomplemented
104#65943C2214yescomplemented
105#65943C2214yescomplemented
106#65940C2214yescomplemented
107#65940C2214yescomplemented
108#65939C2214yescomplemented
109D5×#121C2214yescomplemented
110D5×#121C2214yescomplemented
111D5×#120C2218yescomplemented
112#65920C2218yescomplemented
113#65919C2214yescomplemented
114#65918C2212yescomplemented
115#65916C2214yescomplemented
116#65915C2214yescomplemented
117#65914C2218yescomplemented
118#65914C2214yescomplemented
119#65913C2212yescomplemented
120#65913C2214yescomplemented
121#65911C2212yescomplemented
122#65910C2214yescomplemented
123Q8×D20C2212yescomplemented
124#65908C2214yescomplemented
125C4×#713C2214yescomplemented
126#65899C2214yescomplemented
127#65899C2214yescomplemented
128#65897C2212yescomplemented
129#65896C2214yescomplemented
130#65894C2218yescomplemented
131#65892C2214yescomplemented
132#65890C2218yescomplemented
133#65889C2214yescomplemented
134#65889C2212yescomplemented
135#65888C2218yescomplemented
136#65888C2214yescomplemented
137#65885C2212yescomplemented
138#65884C2214yescomplemented
139#65884C2214yescomplemented
140#65884C2214yescomplemented
141D4×D20C2214yescomplemented
142D4×D20C2214yescomplemented
143D4×D20C2212yescomplemented
144#65882C2214yescomplemented
145#65881C2218yescomplemented
146#65881C2218yescomplemented
147#65881C2218yescomplemented
148#65879C2218yescomplemented
149#65879C2214yescomplemented
150C4×D4×D5C2218yescomplemented
151C4×D4×D5C2218yescomplemented
152C4×D4×D5C2214yescomplemented
153#65877C2214yescomplemented
154#65875C2214yescomplemented
155#65869C2214yescomplemented
156#65868C2214yescomplemented
157#65864C2218yescomplemented
158#65862C2218yescomplemented
159#65861C2218yescomplemented
160#65861C2218yescomplemented
161#65859C2212yescomplemented
162#65858C2214yescomplemented
163#65858C2218yescomplemented
164#65857C2212yescomplemented
165#65857C2214yescomplemented
166#65855C2212yes—
167#65855C2214yescomplemented
168D5×#117C2214yescomplemented
169#65853C2212yescomplemented
170#65813C2212yescomplemented
171#65813C2212yescomplemented
172#65813C2212yescomplemented
173#65813C2212yescomplemented
174#65813C2212yescomplemented
175#65813C2212yescomplemented
176#65813C2214yescomplemented
177#65811C2211yescharacteristic, complemented
178#65811C2211yescharacteristic, complemented
179#65811C2211yescharacteristic, complemented
180#65811C2214yescomplemented
181C4×#709C2212yescomplemented
182C4×#709C2212yescomplemented
183C4×#709C2212yescomplemented
184C4×#709C2214yescomplemented
185C2×C4×D20C2211yescharacteristic
186C2×C4×D20C2211yescharacteristic
187C2×C4×D20C2211yescharacteristic, complemented
188C2×C4×D20C2212yescomplemented
189C2×C4×D20C2212yescomplemented
190C2×C4×D20C2211yescharacteristic, complemented
191C2×C4×D20C2212yescomplemented
192C2×C4×D20C2212yescomplemented
193C2×C4×D20C2212yescomplemented
194C2×C4×D20C2212yescomplemented
195C2×C4×D20C2212yescomplemented
196C2×C4×D20C2212yescomplemented
197C2×C4×D20C2212yescomplemented
198C2×C4×D20C2212yescomplemented
199C2×C4×D20C2214yescomplemented
200#65804C2211yescharacteristic, complemented
201#65804C2211yescharacteristic, complemented
202#65804C2211yescharacteristic, complemented
203#62773—51nomaximal, Sylow
204C24×D5C2312yes—
205C2×C5×#41C2312yes—
206C2×C5×#41C2312yes—
207C2×C5×#41C2312yes—
208C23×C4×C5C2311yescharacteristic
209C23×C4×C5C2311yescharacteristic
210C23×C4×C5C2311yescharacteristic
211C23×Dic5C2312yes—
212#4149—216no—
213D5×#41—416no—
214C2×#713C2314yes—
215C2×#713C2314yescomplemented
216C2×Q8×D5C2314yescomplemented
217C2×#711C2318yes—
218C2×#711C2314yescomplemented
219C2×D4×D5C2314yes—
220C2×D4×D5C2318yes—
221C2×D4×D5C2318yes—
222C2×D4×D5C2318yes—
223C2×D4×D5C2314yescomplemented
224C2×#709C2312yes—
225C2×#709C2312yes—
226C2×#709C2314yes—
227C2×#709C2312yes—
228C2×#709C2318yescomplemented
229C22×D20—28no—
230C22×D20C2311yescharacteristic
231C22×D20C2312yes—
232C22×D20C2312yes—
233C22×D20C2312yes—
234C22×D20C2312yes—
235C22×D20C2312yes—
236C22×D20C2314yes—
237C22×D20C2311yescharacteristic
238C22×C4×D5—48no—
239C22×C4×D5C2314yes—
240C22×C4×D5C2312yes—
241C22×C4×D5C2312yes—
242C22×C4×D5C2314yes—
243C22×C4×D5C2312yes—
244C22×C4×D5C2314yes—
245C22×C4×D5C2312yes—
246C22×C4×D5C2314yes—
247C22×C4×D5C2318yescomplemented
248C5×C4⋊Q8C2311yescharacteristic, complemented
249C5×C4⋊Q8C2311yescharacteristic, complemented
250C5×C4⋊Q8C2311yescharacteristic, complemented
251C5×#127C2311yescharacteristic, complemented
252C5×#126C2314yescomplemented
253C5×#126C2314yescomplemented
254C5×#125C2312yescomplemented
255C5×#125C2312yescomplemented
256C5×#125C2312yescomplemented
257C5×#124C2312yescomplemented
258C5×#124C2312yescomplemented
259C5×#124C2312yescomplemented
260C5×#123C2314yes—
261C5×#123C2314yes—
262C5×#123C2314yes—
263C5×C22⋊Q8C2312yes—
264C5×C22⋊Q8C2312yes—
265C5×C22⋊Q8C2312yes—
266C5×C22⋊Q8C2312yes—
267C5×C22⋊Q8C2312yes—
268C5×C22⋊Q8C2312yes—
269C5×#121C2312yes—
270C5×#121C2312yes—
271C5×#121C2312yes—
272C5×#121C2312yes—
273C5×#121C2312yes—
274C5×#121C2312yes—
275C5×#120C2314yes—
276C4×C5×Q8C2312yescomplemented
277C4×C5×Q8C2312yescomplemented
278C4×C5×Q8C2312yescomplemented
279C4×C5×Q8C2312yescomplemented
280C4×C5×Q8C2312yescomplemented
281C4×C5×Q8C2312yescomplemented
282C4×C5×D4C2314yes—
283C4×C5×D4C2314yes—
284C4×C5×D4C2314yes—
285C4×C5×D4C2314yes—
286C4×C5×D4C2314yes—
287C4×C5×D4C2314yes—
288C4×C5×D4C2312yescomplemented
289C4×C5×D4C2312yescomplemented
290C4×C5×D4C2312yescomplemented
291C4×C5×D4C2312yescomplemented
292C4×C5×D4C2312yescomplemented
293C4×C5×D4C2312yescomplemented
294C5×#117C2312yes—
295C5×#117C2312yes—
296C5×#117C2312yes—
297C5×#117C2314yescomplemented
298C5×#117C2314yescomplemented
299C5×#117C2314yescomplemented
300C2×C42×C5C2311yescharacteristic
301C2×C42×C5C2311yescharacteristic
302C2×C42×C5C2311yescharacteristic
303C2×C42×C5C2311yescharacteristic
304C2×C42×C5C2311yescharacteristic
305C2×C42×C5C2311yescharacteristic
306C2×C42×C5C2311yescharacteristic
307C2×C42×C5C2311yescharacteristic
308C2×C42×C5C2311yescharacteristic
309C2×C42×C5C2311yescharacteristic
310C2×C42×C5C2311yescharacteristic
311C2×C42×C5C2311yescharacteristic
312C2×C42×C5C2314yescomplemented
313#4099C2314yes—
314#4093C2314yes—
315#4093C2318yescomplemented
316#4092C2314yescomplemented
317#4092C2314yescomplemented
318#4092C2314yescomplemented
319#4092C2318yescomplemented
320Q8×Dic5C2314yescomplemented
321#4086C2314yes—
322#4085C2318yes—
323#4085C2318yes—
324#4085C2318yescomplemented
325#4084C2314yescomplemented
326#4084C2314yescomplemented
327#4084C2314yescomplemented
328#4083C2318yes—
329#4083C2318yes—
330#4083C2318yes—
331#4083C2318yescomplemented
332#4081C2318yes—
333D4×Dic5C2318yes—
334D4×Dic5C2318yes—
335D4×Dic5C2314yescomplemented
336#4076C2312yes—
337#4076C2312yes—
338#4076C2312yes—
339#4076C2312yes—
340#4076C2312yes—
341#4076C2312yes—
342#4076C2314yes—
343#4076C2314yes—
344#4076C2318yescomplemented
345#4076C2314yescomplemented
346#4075C2314yes—
347#4075C2314yes—
348#4075C2314yes—
349#4075C2318yescomplemented
350C4×C22⋊D5C2314yes—
351C4×C22⋊D5C2314yes—
352C4×C22⋊D5C2314yes—
353C4×C22⋊D5C2314yes—
354C4×C22⋊D5C2314yes—
355C4×C22⋊D5C2314yes—
356C4×C22⋊D5C2318yescomplemented
357C4×C22⋊D5C2318yescomplemented
358C4×C22⋊D5C2318yescomplemented
359C2×#685C2312yes—
360C2×#685C2312yes—
361C2×#685C2314yes—
362C2×#685C2314yes—
363C2×#685C2312yes—
364C2×#685C2314yes—
365C2×#685C2312yes—
366C2×#685C2314yes—
367C2×#685C2318yescomplemented
368#4072C2312yes—
369#4072C2312yes—
370#4072C2312yes—
371#4072C2314yescomplemented
372C2×C4⋊Dic5C2311yescharacteristic
373C2×C4⋊Dic5C2311yescharacteristic
374C2×C4⋊Dic5C2312yes—
375C2×C4⋊Dic5C2312yes—
376C2×C4⋊Dic5C2312yes—
377C2×C4⋊Dic5C2312yes—
378C2×C4⋊Dic5C2312yes—
379C2×C4⋊Dic5C2314yescomplemented
380#4070C2312yes—
381#4070C2312yes—
382#4070C2312yes—
383#4070C2312yes—
384#4070C2312yes—
385#4070C2312yes—
386#4070C2314yescomplemented
387#4044C2318yescomplemented
388#4044C2318yescomplemented
389#4044C2318yescomplemented
390#4044C2318yescomplemented
391#4043C2314yescomplemented
392#4043C2314yescomplemented
393#4043C2318yescomplemented
394#4043C2318yescomplemented
395#4042C2318yescomplemented
396#4042C2318yescomplemented
397#4042C2318yescomplemented
398#4042C2318yescomplemented
399#4041C2314yes—
400#4041C2314yes—
401#4041C2318yes—
402#4041C2318yes—
403#4041C2314yescomplemented
404#4041C2314yescomplemented
405#4041C2318yescomplemented
406#4040C2318yes—
407#4040C2318yes—
408#4040C2318yescomplemented
409#4040C2318yescomplemented
410#4040C2318yescomplemented
411#4040C2318yescomplemented
412#4040C2318yescomplemented
413#4039C2314yes—
414#4039C2314yes—
415#4039C2318yescomplemented
416#4039C2318yescomplemented
417#4039C2318yescomplemented
418#4038C2314yescomplemented
419#4038C2314yescomplemented
420#4038C2314yescomplemented
421#4038C2318yescomplemented
422D5×C4⋊C4C2314yescomplemented
423D5×C4⋊C4C2314yescomplemented
424D5×C4⋊C4C2314yescomplemented
425D5×C4⋊C4C2318yescomplemented
426D5×C4⋊C4C2318yescomplemented
427#4036C2314yescomplemented
428#4036C2318yescomplemented
429#4035C2318yescomplemented
430#4034C2314yescomplemented
431#4032C2318yes—
432#4032C2318yescomplemented
433#4032C2318yescomplemented
434#4031C2318yescomplemented
435#4031C2318yescomplemented
436#4030C2318yes—
437#4030C2318yes—
438#4030C2318yescomplemented
439#4030C2318yescomplemented
440#4030C2318yescomplemented
441#4029C2318yescomplemented
442#4029C2318yescomplemented
443#4029C2318yescomplemented
444#4029C2318yescomplemented
445#4028C2318yes—
446#4028C2318yes—
447#4028C2318yes—
448#4028C2318yes—
449#4028C2318yes—
450#4028C2318yescomplemented
451#4027C2318yes—
452#4027C2318yes—
453#4027C2318yescomplemented
454#4027C2318yescomplemented
455#4027C2318yescomplemented
456D5×C22⋊C4C2318yes—
457D5×C22⋊C4C2318yes—
458D5×C22⋊C4C2318yes—
459D5×C22⋊C4C2318yescomplemented
460D5×C22⋊C4C2318yescomplemented
461D5×C22⋊C4C2318yescomplemented
462#4025C2318yescomplemented
463#4024C2318yes—
464#4024C2318yes—
465#4024C2318yescomplemented
466#4023C2318yes—
467#4022C2314yescomplemented
468#4022C2314yescomplemented
469#4022C2318yescomplemented
470#4021C2314yes—
471#4021C2312yescomplemented
472#4021C2312yescomplemented
473#4021C2312yescomplemented
474#4021C2318yescomplemented
475#4020C2314yes—
476#4020C2311yescharacteristic, complemented
477C4×D20C2312yes—
478C4×D20C2312yes—
479C4×D20C2312yes—
480C4×D20C2312yes—
481C4×D20C2312yes—
482C4×D20C2312yes—
483C4×D20C2312yes—
484C4×D20C2312yes—
485C4×D20C2312yes—
486C4×D20C2312yes—
487C4×D20C2314yes—
488C4×D20C2314yes—
489C4×D20C2312yes—
490C4×D20C2314yes—
491C4×D20C2312yes—
492C4×D20C2314yes—
493C4×D20C2312yes—
494C4×D20C2312yes—
495C4×D20C2312yes—
496C4×D20C2314yes—
497C4×D20C2314yes—
498C4×D20C2312yes—
499C4×D20C2314yes—
500C4×D20C2314yes—
501C4×D20C2314yes—
502C4×D20C2314yes—
503C4×D20C2312yescomplemented
504C4×D20C2312yescomplemented
505C4×D20C2314yescomplemented
506C4×D20C2318yescomplemented
507C4×D20C2318yescomplemented
508C4×D20C2312yescomplemented
509C4×D20C2312yescomplemented
510C4×D20C2312yescomplemented
511C4×D20C2312yescomplemented
512C4×D20C2318yescomplemented
513#4018C2314yescomplemented
514#4018C2314yescomplemented
515#4018C2314yescomplemented
516#4018C2318yescomplemented
517#4018C2318yescomplemented
518C42×D5C2314yescomplemented
519C42×D5C2318yescomplemented
520#4016C2312yescomplemented
521#4016C2312yescomplemented
522#4016C2312yescomplemented
523#4016C2314yescomplemented
524#4015C2311yescharacteristic, complemented
525#4015C2311yescharacteristic, complemented
526#4015C2311yescharacteristic, complemented
527#4015C2314yescomplemented
528C4×Dic10C2312yescomplemented
529C4×Dic10C2312yescomplemented
530C4×Dic10C2312yescomplemented
531C4×Dic10C2312yescomplemented
532C4×Dic10C2312yescomplemented
533C4×Dic10C2312yescomplemented
534C4×Dic10C2314yescomplemented
535#3520—52no—
536#3520—52no—
537#3519—52no—
538#3519—52no—
539#3513—54no—
540#3513—54no—
541#3506—51no—
542#3506—51no—
543#3505—54no—
544#3501—51no—
545#3496—51no—
546#3492—52no—
547#3490—54no—
548#3484—52no—
549#3481—54no—
550#3481—54no—
551#3475—52no—
552#3475—52no—
553D4×#41—52no—
554D4×#41—52no—
555#3460—52no—
556#3459—54no—
557#3444—51no—
558#3444D511yescharacteristic, complemented
559C2×#525—54no—
560C4×H(5,𝔽2)—52no—
561C22×C4×D4—51no—
562C24×C5C2411yescharacteristic
563C23×D5—28no—
564C23×D5—44no—
565C23×D5—44no—
566C23×D5C2414yes—
567C23×D5C2414yes—
568C23×D5C2412yes—
569C23×D5C2418yes—
570C23×D5C2412yes—
571C5×#41—28no—
572C5×#41—28no—
573C5×#41—44no—
574C2×C5×Q8C2412yes—
575C2×C5×Q8C2412yes—
576C2×C5×Q8C2412yes—
577C2×C5×D4C2414yes—
578C2×C5×D4C2414yes—
579C2×C5×D4C2414yes—
580C2×C5×D4C2412yes—
581C2×C5×D4C2412yes—
582C2×C5×D4C2412yes—
583C22×C4×C5—24no—
584C22×C4×C5—24no—
585C22×C4×C5—42no—
586C22×C4×C5C2411yescharacteristic
587C22×C4×C5C2411yescharacteristic
588C22×C4×C5C2411yescharacteristic
589C22×C4×C5C2411yescharacteristic
590C22×C4×C5C2411yescharacteristic
591C22×C4×C5C2411yescharacteristic
592C22×C4×C5C2411yescharacteristic
593C22×C4×C5C2411yescharacteristic
594C22×C4×C5C2411yescharacteristic
595C22×C4×C5C2411yescharacteristic
596C22×C4×C5C2411yescharacteristic
597C22×C4×C5C2411yescharacteristic
598C22×C4×C5C2414yes—
599C22×C4×C5C2414yes—
600C22×C4×C5C2411yescharacteristic
601C22×C4×C5C2411yescharacteristic
602C22×C4×C5C2411yescharacteristic
603C22×C4×C5C2411yescharacteristic
604C22×C4×C5C2414yes—
605C22×C4×C5C2411yescharacteristic
606C22×C4×C5C2411yescharacteristic
607C2×C22⋊D5C2414yes—
608C2×C22⋊D5C2414yes—
609C2×C22⋊D5C2414yes—
610C2×C22⋊D5C2418yes—
611C2×C22⋊D5C2418yes—
612C2×C22⋊D5C2418yes—
613C2×C22⋊D5C2418yes—
614C22×Dic5—44no—
615C22×Dic5C2414yes—
616C22×Dic5C2412yes—
617C22×Dic5C2414yes—
618C22×Dic5C2412yes—
619C22×Dic5C2418yes—
620#713—216no—
621#713—48no—
622Q8×D5—48no—
623#711—48no—
624#711—416no—
625D4×D5—232no—
626D4×D5—216no—
627D4×D5—48no—
628D4×D5—416no—
629D4×D5—416no—
630#709—28no—
631#709—28no—
632#709—216no—
633#709—416no—
634#709—44no—
635C2×D20—28no—
636C2×D20—24no—
637C2×D20—28no—
638C2×D20—28no—
639C2×D20—28no—
640C2×D20—28no—
641C2×D20—216no—
642C2×D20#4118yescomplemented
643C2×D20C2412yes—
644C2×D20C2414yes—
645C2×D20C2414yes—
646C2×D20C2412yes—
647C2×D20C2412yes—
648C2×D20C2418yes—
649C2×D20C2412yes—
650C2×D20C2412yes—
651C2×D20C2418yes—
652C2×D20C2418yes—
653C2×D20C2412yes—
654C2×D20C2412yes—
655C2×C4×D5—216no—
656C2×C4×D5—44no—
657C2×C4×D5—48no—
658C2×C4×D5—44no—
659C2×C4×D5—44no—
660C2×C4×D5—48no—
661C2×C4×D5—44no—
662C2×C4×D5—416no—
663C2×C4×D5—48no—
664C2×C4×D5C2414yes—
665C2×C4×D5C2414yes—
666C2×C4×D5C2414yes—
667C2×C4×D5C2414yes—
668C2×C4×D5C2414yes—
669C2×C4×D5C2414yes—
670C2×C4×D5C2418yes—
671C2×C4×D5C2414yes—
672C2×C4×D5C2414yes—
673C2×C4×D5C2414yes—
674C2×C4×D5C2414yes—
675C2×C4×D5C2418yes—
676C2×C4×D5C2418yes—
677C2×C4×D5C2414yes—
678C2×C4×D5C2418yes—
679C2×Dic10C2412yes—
680C2×Dic10C2412yes—
681C2×Dic10C2412yes—
682C2×Dic10C2418yes—
683C5×C4⋊C4C2412yes—
684C5×C4⋊C4C2412yes—
685C5×C4⋊C4C2412yes—
686C5×C4⋊C4C2412yes—
687C5×C4⋊C4C2412yes—
688C5×C4⋊C4C2412yes—
689C5×C4⋊C4C2414yes—
690C5×C4⋊C4C2414yes—
691C5×C4⋊C4C2414yes—
692C5×C4⋊C4C2414yes—
693C5×C4⋊C4C2414yes—
694C5×C4⋊C4C2414yes—
695C5×C22⋊C4C2414yes—
696C5×C22⋊C4C2414yes—
697C5×C22⋊C4C2414yes—
698C5×C22⋊C4C2414yes—
699C5×C22⋊C4C2414yes—
700C5×C22⋊C4C2414yes—
701C5×C22⋊C4C2414yes—
702C5×C22⋊C4C2414yes—
703C5×C22⋊C4C2414yes—
704C42×C5C2411yescharacteristic
705C42×C5C2411yescharacteristic
706C42×C5C2411yescharacteristic
707C42×C5C2411yescharacteristic
708C42×C5C2411yescharacteristic
709C42×C5C2411yescharacteristic
710C42×C5C2411yescharacteristic
711C42×C5C2411yescharacteristic
712C42×C5C2411yescharacteristic
713C42×C5C2411yescharacteristic
714C42×C5C2411yescharacteristic
715C42×C5C2411yescharacteristic
716C42×C5C2411yescharacteristic
717C42×C5C2411yescharacteristic
718C42×C5C2411yescharacteristic
719C42×C5C2411yescharacteristic
720C42×C5C2414yes—
721C42×C5C2414yes—
722C42×C5C2414yes—
723C22⋊Dic5C2414yes—
724C22⋊Dic5C2414yes—
725C22⋊Dic5C2414yes—
726C22⋊Dic5C2418yes—
727C22⋊Dic5C2418yes—
728#685C2414yes—
729#685C2418yes—
730#685C2414yes—
731#685C2414yes—
732#685C2414yes—
733#685C2414yes—
734#685C2414yes—
735#685C2414yes—
736#685C2418yes—
737#685C2418yes—
738#685C2414yes—
739#685C2414yes—
740#685C2414yes—
741#685C2414yes—
742#685C2414yes—
743#685C2414yes—
744#685C2414yes—
745#685C2418yes—
746#685C2418yes—
747#685C2418yes—
748#685C2418yes—
749#685C2418yes—
750C4⋊Dic5C2412yes—
751C4⋊Dic5C2412yes—
752C4⋊Dic5C2412yes—
753C4⋊Dic5C2412yes—
754C4⋊Dic5C2412yes—
755C4⋊Dic5C2412yes—
756C4⋊Dic5C2412yes—
757C4⋊Dic5C2412yes—
758C4⋊Dic5C2418yes—
759C4⋊Dic5C2414yes—
760C4⋊Dic5C2414yes—
761C4⋊Dic5C2412yes—
762C4⋊Dic5C2412yes—
763C4⋊Dic5C2418yes—
764#683C2414yes—
765#683C2414yes—
766#683C2414yes—
767#683C2414yes—
768#683C2414yes—
769#683C2414yes—
770#683C2418yes—
771#683C2418yes—
772#683C2418yes—
773#683C2418yes—
774C4×Dic5C2414yes—
775C4×Dic5C2414yes—
776C4×Dic5C2414yes—
777C4×Dic5C2418yes—
778C4×Dic5C2418yes—
779C2×H(5,𝔽2)—52no—
780C22×#41—54no—
781C23×D4—51no—
782C24×C4—52no—
783#559—54no—
784#559—54no—
785#556—52no—
786#556—52no—
787#555—52no—
788#555—52no—
789#554—52no—
790#554—54no—
791#554—54no—
792#554—52no—
793#554—54no—
794#554—54no—
795#553—58no—
796#553—54no—
797#553—54no—
798#553—54no—
799#553—54no—
800#553—54no—
801#553—54no—
802#553—58no—
803#552—54no—
804#552—54no—
805#552—54no—
806#552—54no—
807#551—58no—
808#551—58no—
809#551—58no—
810#551—58no—
811#551—58no—
812#551—58no—
813#550—52no—
814#550—52no—
815D4×Q8—52no—
816D4×Q8—52no—
817#548—54no—
818#548—54no—
819#547—52no—
820#547—52no—
821#547—54no—
822#547—54no—
823#547—52no—
824#547—52no—
825#546—58no—
826#546—54no—
827#546—54no—
828#546—58no—
829#546—54no—
830#546—54no—
831#546—58no—
832#546—54no—
833#546—54no—
834#546—58no—
835#546—54no—
836#546—54no—
837D42—52no—
838D42—54no—
839D42—54no—
840D42—54no—
841D42—54no—
842D42—52no—
843#544—52no—
844#543—54no—
845#542—54no—
846#542—54no—
847#540—54no—
848#540—54no—
849#539—58no—
850#539—58no—
851#539—58no—
852#538—58no—
853#538—58no—
854#538—54no—
855#538—54no—
856#538—58no—
857#537—52no—
858#535—52no—
859#535—52no—
860#534—58no—
861#534—54no—
862#533—51no—
863#533—51no—
864#533—51no—
865#533C2×D511yescharacteristic, complemented
866#533C2×D511yescharacteristic, complemented
867#533C2×D511yescharacteristic, complemented
868#532—54no—
869#532—51no—
870#532—51no—
871#532—51no—
872#532—54no—
873#532C2×D511yescharacteristic, complemented
874#532C2×D511yescharacteristic, complemented
875#532C2×D511yescharacteristic, complemented
876#529—58no—
877#529—54no—
878#529—58no—
879#529—52no—
880#529—52no—
881#529—52no—
882#529—52no—
883#529—52no—
884#529—52no—
885#529—54no—
886#529C2×D512yescomplemented
887#529C2×D512yescomplemented
888#529C2×D512yescomplemented
889#529C2×D512yescomplemented
890#529C2×D512yescomplemented
891#529C2×D512yescomplemented
892#525—54no—
893#525—52no—
894#525—52no—
895#525—52no—
896#525—58no—
897#525—54no—
898#525—54no—
899#525—54no—
900#525—54no—
901#525—58no—
902#525—58no—
903#525—58no—
904#525—58no—
905#525—54no—
906#525—58no—
907#525C2×D512yescomplemented
908#525C2×D512yescomplemented
909#525C2×D512yescomplemented
910C2×#123—58no—
911C2×C22⋊Q8—54no—
912C2×C22⋊Q8—54no—
913C2×#121—54no—
914C2×#121—54no—
915C2×#120—58no—
916#520—52no—
917#520—54no—
918#520—52no—
919#520—54no—
920#518—58no—
921#518—54no—
922#518—52no—
923#518—54no—
924C4×#41—54no—
925C4×#41—52no—
926C4×#41—52no—
927C4×#41—52no—
928C4×#41—54no—
929C4×#41C2×D512yescomplemented
930C4×#41C2×D512yescomplemented
931C4×#41C2×D512yescomplemented
932C2×C4×D4—58no—
933C2×C4×D4—58no—
934C2×C4×D4—54no—
935C2×C4×D4—51no—
936C2×C4×D4—51no—
937C2×C4×D4—52no—
938C2×C4×D4—51no—
939C2×C4×D4—52no—
940C2×C4×D4—52no—
941C2×C4×D4—52no—
942C2×C4×D4—52no—
943C2×C4×D4—52no—
944C2×C4×D4—51no—
945C2×C4×D4—52no—
946C2×C4×D4—52no—
947C2×C4×D4—52no—
948C2×C4×D4—52no—
949C2×C4×D4—54no—
950C2×#117—54no—
951C22×C4⋊C4—51no—
952C22×C22⋊C4—52no—
953C22×C42C2×D511yescharacteristic, complemented
954C23×C5—22no—
955C23×C5—22no—
956C23×C5—22no—
957C23×C5C2514yes—
958C23×C5C2511yescharacteristic
959C23×C5C2511yescharacteristic
960C23×C5C2511yescharacteristic
961C22×D5—24no—
962C22×D5—28no—
963C22×D5—28no—
964C22×D5—28no—
965C22×D5—28no—
966C22×D5—216no—
967C22×D5—42no—
968C22×D5—44no—
969C22×D5—42no—
970C22×D5—42no—
971C22×D5—44no—
972C22×D5—42no—
973C22×D5—48no—
974C22×D5—48no—
975C22×D5—432no—
976C22×D5C2×#4118yescomplemented
977C22×D5C2514yes—
978C22×D5C2514yes—
979C22×D5C2514yes—
980C5×Q8—24no—
981C5×Q8—24no—
982C5×Q8—42no—
983C5×D4—28no—
984C5×D4—28no—
985C5×D4—28no—
986C5×D4—24no—
987C5×D4—24no—
988C5×D4—42no—
989C2×C4×C5—22no—
990C2×C4×C5—22no—
991C2×C4×C5—22no—
992C2×C4×C5—22no—
993C2×C4×C5—22no—
994C2×C4×C5—22no—
995C2×C4×C5—22no—
996C2×C4×C5—22no—
997C2×C4×C5—28no—
998C2×C4×C5—22no—
999C2×C4×C5—22no—
1000C2×C4×C5—22no—
1001C2×C4×C5—22no—
1002C2×C4×C5—28no—
1003C2×C4×C5—41no—
1004C2×C4×C5—41no—
1005C2×C4×C5—41no—
1006C2×C4×C5—41no—
1007C2×C4×C5—44no—
1008C2×C4×C5C2×#4114yescomplemented
1009C2×C4×C5H(5,𝔽2)14yescomplemented
1010C2×C4×C5C2511yescharacteristic
1011C2×C4×C5C2514yes—
1012C2×C4×C5C2514yes—
1013C2×C4×C5C2511yescharacteristic
1014C2×C4×C5C2511yescharacteristic
1015C2×C4×C5C2511yescharacteristic
1016C2×C4×C5C2511yescharacteristic
1017C2×C4×C5C2511yescharacteristic
1018C2×C4×C5C2511yescharacteristic
1019C2×C4×C5C2514yes—
1020C2×C4×C5C2511yescharacteristic
1021C2×C4×C5C2511yescharacteristic
1022C2×C4×C5C2511yescharacteristic
1023C2×C4×C5C2511yescharacteristic
1024C2×C4×C5C2511yescharacteristic
1025C22⋊D5—28no—
1026C22⋊D5—28no—
1027C22⋊D5—28no—
1028C22⋊D5—216no—
1029C22⋊D5—48no—
1030C22⋊D5—48no—
1031C22⋊D5—48no—
1032C2×Dic5—28no—
1033C2×Dic5—42no—
1034C2×Dic5—44no—
1035C2×Dic5—42no—
1036C2×Dic5—48no—
1037C2×Dic5C2514yes—
1038C2×Dic5C2514yes—
1039C2×Dic5C2514yes—
1040C2×Dic5C2514yes—
1041C2×Dic5C2514yes—
1042D20—28no—
1043D20—28no—
1044D20—216no—
1045D20—24no—
1046D20—24no—
1047D20—24no—
1048D20—24no—
1049D20—42no—
1050D20—48no—
1051D20—48no—
1052D20C2×#4118yescomplemented
1053D20C2×#4118yescomplemented
1054C4×D5—216no—
1055C4×D5—28no—
1056C4×D5—28no—
1057C4×D5—28no—
1058C4×D5—28no—
1059C4×D5—28no—
1060C4×D5—28no—
1061C4×D5—44no—
1062C4×D5—44no—
1063C4×D5—44no—
1064C4×D5—44no—
1065C4×D5—48no—
1066C4×D5—48no—
1067C4×D5—44no—
1068C4×D5—48no—
1069Dic10—24no—
1070Dic10—24no—
1071Dic10—42no—
1072Dic10—48no—
1073C25—52no—
1074H(5,𝔽2)—1016no—
1075C2×#41—54no—
1076C2×#41—54no—
1077C2×#41—58no—
1078C2×#41—54no—
1079C2×#41—52no—
1080C2×#41—54no—
1081C2×#41—52no—
1082C2×#41—52no—
1083C2×#41—58no—
1084C2×#41—2016no—
1085C2×#41C22×D512yes—
1086C2×#41C22×D512yes—
1087C2×#41C22×D512yes—
1088C22×Q8—54no—
1089C22×D4—58no—
1090C22×D4—54no—
1091C22×D4—58no—
1092C22×D4—58no—
1093C22×D4—54no—
1094C22×D4—51no—
1095C22×D4—52no—
1096C22×D4—51no—
1097C22×D4—52no—
1098C22×D4—52no—
1099C22×D4—52no—
1100C22×D4—52no—
1101C22×D4—54no—
1102C22×D4—108no—
1103C23×C4—52no—
1104C23×C4—54no—
1105C23×C4—52no—
1106C23×C4—54no—
1107C23×C4—58no—
1108C23×C4—52no—
1109C23×C4—54no—
1110C23×C4—54no—
1111C23×C4—52no—
1112C23×C4—52no—
1113C23×C4—208no—
1114C23×C4C22×D511yescharacteristic
1115C23×C4C22×D511yescharacteristic
1116C23×C4C22×D511yescharacteristic
1117C4⋊Q8—54no—
1118C4⋊Q8—51no—
1119C4⋊Q8—51no—
1120C4⋊Q8—51no—
1121C4⋊Q8—54no—
1122C4⋊Q8C22×D511yescharacteristic, complemented
1123C4⋊Q8C22×D511yescharacteristic, complemented
1124C4⋊Q8C22×D511yescharacteristic, complemented
1125#127—54no—
1126#127—51no—
1127#127—54no—
1128#127C22×D511yescharacteristic, complemented
1129#126—58no—
1130#126—58no—
1131#126—58no—
1132#126—58no—
1133#126—58no—
1134#126—54no—
1135#126—54no—
1136#126—58no—
1137#126C22×D514yescomplemented
1138#126C22×D514yescomplemented
1139#125—58no—
1140#125—58no—
1141#125—54no—
1142#125—52no—
1143#125—52no—
1144#125—52no—
1145#125—54no—
1146#125C22×D512yescomplemented
1147#125C22×D512yescomplemented
1148#125C22×D512yescomplemented
1149#124—54no—
1150#124—58no—
1151#124—58no—
1152#124—58no—
1153#124—52no—
1154#124—52no—
1155#124—52no—
1156#124—54no—
1157#124—58no—
1158#124C22×D512yescomplemented
1159#124C22×D512yescomplemented
1160#124C22×D512yescomplemented
1161#123—58no—
1162#123—54no—
1163#123—54no—
1164#123—54no—
1165#123—58no—
1166#123—58no—
1167#123—58no—
1168#123—58no—
1169#123—58no—
1170#123—58no—
1171#123—58no—
1172#123—58no—
1173#123—58no—
1174#123—58no—
1175#123—58no—
1176#123—58no—
1177#123—58no—
1178#123—58no—
1179#123—58no—
1180#123C22×D514yes—
1181#123C22×D514yes—
1182#123C22×D514yes—
1183C22⋊Q8—54no—
1184C22⋊Q8—54no—
1185C22⋊Q8—54no—
1186C22⋊Q8—58no—
1187C22⋊Q8—52no—
1188C22⋊Q8—52no—
1189C22⋊Q8—52no—
1190C22⋊Q8—52no—
1191C22⋊Q8—52no—
1192C22⋊Q8—52no—
1193C22⋊Q8—54no—
1194C22⋊Q8—58no—
1195C22⋊Q8—54no—
1196C22⋊Q8—54no—
1197C22⋊Q8—58no—
1198C22⋊Q8—58no—
1199C22⋊Q8—58no—
1200C22⋊Q8—58no—
1201C22⋊Q8—58no—
1202C22⋊Q8—58no—
1203C22⋊Q8—58no—
1204C22⋊Q8—58no—
1205C22⋊Q8C22×D512yes—
1206C22⋊Q8C22×D512yes—
1207C22⋊Q8C22×D512yes—
1208C22⋊Q8C22×D512yes—
1209C22⋊Q8C22×D512yes—
1210C22⋊Q8C22×D512yes—
1211#121—58no—
1212#121—54no—
1213#121—58no—
1214#121—54no—
1215#121—58no—
1216#121—54no—
1217#121—52no—
1218#121—52no—
1219#121—52no—
1220#121—52no—
1221#121—52no—
1222#121—52no—
1223#121—54no—
1224#121—54no—
1225#121—54no—
1226#121—58no—
1227#121—54no—
1228#121—54no—
1229#121—58no—
1230#121—58no—
1231#121—58no—
1232#121—54no—
1233#121—54no—
1234#121—58no—
1235#121—58no—
1236#121—58no—
1237#121—58no—
1238#121—58no—
1239#121C22×D512yes—
1240#121C22×D512yes—
1241#121C22×D512yes—
1242#121C22×D512yes—
1243#121C22×D512yes—
1244#121C22×D512yes—
1245#120—54no—
1246#120—58no—
1247#120—58no—
1248#120—58no—
1249#120—58no—
1250#120—58no—
1251#120—58no—
1252#120—58no—
1253#120—58no—
1254#120—58no—
1255#120—58no—
1256#120C22×D514yes—
1257C4×Q8—54no—
1258C4×Q8—52no—
1259C4×Q8—52no—
1260C4×Q8—54no—
1261C4×Q8—52no—
1262C4×Q8—52no—
1263C4×Q8—52no—
1264C4×Q8—52no—
1265C4×Q8C22×D512yescomplemented
1266C4×Q8C22×D512yescomplemented
1267C4×Q8C22×D512yescomplemented
1268C4×Q8C22×D512yescomplemented
1269C4×Q8C22×D512yescomplemented
1270C4×Q8C22×D512yescomplemented
1271C4×D4—58no—
1272C4×D4—54no—
1273C4×D4—58no—
1274C4×D4—54no—
1275C4×D4—54no—
1276C4×D4—58no—
1277C4×D4—58no—
1278C4×D4—54no—
1279C4×D4—58no—
1280C4×D4—54no—
1281C4×D4—54no—
1282C4×D4—54no—
1283C4×D4—58no—
1284C4×D4—54no—
1285C4×D4—58no—
1286C4×D4—54no—
1287C4×D4—58no—
1288C4×D4—58no—
1289C4×D4—58no—
1290C4×D4—58no—
1291C4×D4—58no—
1292C4×D4—58no—
1293C4×D4—52no—
1294C4×D4—52no—
1295C4×D4—52no—
1296C4×D4—52no—
1297C4×D4—54no—
1298C4×D4—54no—
1299C4×D4—52no—
1300C4×D4—52no—
1301C4×D4—54no—
1302C4×D4—54no—
1303C4×D4—52no—
1304C4×D4—52no—
1305C4×D4—52no—
1306C4×D4—52no—
1307C4×D4—52no—
1308C4×D4—52no—
1309C4×D4—54no—
1310C4×D4—54no—
1311C4×D4—52no—
1312C4×D4—52no—
1313C4×D4—54no—
1314C4×D4—54no—
1315C4×D4—52no—
1316C4×D4—52no—
1317C4×D4—58no—
1318C4×D4—52no—
1319C4×D4—54no—
1320C4×D4—58no—
1321C4×D4—54no—
1322C4×D4—58no—
1323C4×D4—52no—
1324C4×D4—54no—
1325C4×D4—52no—
1326C4×D4—52no—
1327C4×D4—52no—
1328C4×D4—52no—
1329C4×D4C22×D514yes—
1330C4×D4C22×D514yes—
1331C4×D4C22×D514yes—
1332C4×D4C22×D514yes—
1333C4×D4C22×D514yes—
1334C4×D4C22×D514yes—
1335C4×D4C22×D512yescomplemented
1336C4×D4C22×D512yescomplemented
1337C4×D4C22×D512yescomplemented
1338C4×D4C22×D512yescomplemented
1339C4×D4C22×D512yescomplemented
1340C4×D4C22×D512yescomplemented
1341#117—52no—
1342#117—52no—
1343#117—54no—
1344#117—52no—
1345#117—54no—
1346#117—54no—
1347#117—58no—
1348#117—54no—
1349#117—58no—
1350#117—58no—
1351#117—54no—
1352#117—58no—
1353#117—54no—
1354#117—54no—
1355#117C22×D512yes—
1356#117C22×D512yes—
1357#117C22×D512yes—
1358#117C22×D514yescomplemented
1359#117C22×D514yescomplemented
1360#117C22×D514yescomplemented
1361C2×C4⋊C4—51no—
1362C2×C4⋊C4—51no—
1363C2×C4⋊C4—52no—
1364C2×C4⋊C4—52no—
1365C2×C4⋊C4—52no—
1366C2×C4⋊C4—52no—
1367C2×C4⋊C4—52no—
1368C2×C4⋊C4—54no—
1369C2×C4⋊C4—54no—
1370C2×C4⋊C4—54no—
1371C2×C4⋊C4—58no—
1372C2×C4⋊C4—54no—
1373C2×C4⋊C4—58no—
1374C2×C22⋊C4—52no—
1375C2×C22⋊C4—52no—
1376C2×C22⋊C4—52no—
1377C2×C22⋊C4—52no—
1378C2×C22⋊C4—54no—
1379C2×C22⋊C4—54no—
1380C2×C22⋊C4—54no—
1381C2×C22⋊C4—54no—
1382C2×C22⋊C4—58no—
1383C2×C22⋊C4—58no—
1384C2×C22⋊C4—58no—
1385C2×C22⋊C4—58no—
1386C2×C22⋊C4—58no—
1387C2×C22⋊C4—58no—
1388C2×C22⋊C4—58no—
1389C2×C42—58no—
1390C2×C42—54no—
1391C2×C42C22×D511yescharacteristic
1392C2×C42C22×D511yescharacteristic
1393C2×C42C22×D511yescharacteristic
1394C2×C42C22×D511yescharacteristic
1395C2×C42C22×D511yescharacteristic
1396C2×C42C22×D511yescharacteristic
1397C2×C42C22×D511yescharacteristic
1398C2×C42C22×D511yescharacteristic
1399C2×C42C22×D511yescharacteristic
1400C2×C42C22×D511yescharacteristic
1401C2×C42C22×D511yescharacteristic
1402C2×C42C22×D511yescharacteristic
1403C2×C42C22×D514yescomplemented
1404C22×C5—28no—
1405C22×C5—21no—
1406C22×C5—21no—
1407C22×C5—21no—
1408C22×C5—21no—
1409C22×C5—21no—
1410C22×C5—21no—
1411C22×C5—24no—
1412C22×C5—24no—
1413C22×C5—24no—
1414C22×C5C22×#4112yes—
1415C22×C5C2×H(5,𝔽2)12yes—
1416C22×C5#58512yes—
1417C22×C5C2611yescharacteristic
1418C2×D5—24no—
1419C2×D5—24no—
1420C2×D5—24no—
1421C2×D5—24no—
1422C2×D5—24no—
1423C2×D5—24no—
1424C2×D5—24no—
1425C2×D5—24no—
1426C2×D5—48no—
1427C2×D5—416no—
1428C2×D5—416no—
1429C2×D5—48no—
1430C2×D5—816no—
1431C2×D5C22×#4118yes—
1432C4×C5—24no—
1433C4×C5—21no—
1434C4×C5—21no—
1435C4×C5—24no—
1436C4×C5—21no—
1437C4×C5—21no—
1438C4×C5—21no—
1439C4×C5—21no—
1440C4×C5—24no—
1441C4×C5—21no—
1442C4×C5—21no—
1443C4×C5C22×#4112yes—
1444C4×C5C22×#4112yes—
1445C4×C5C2×H(5,𝔽2)12yes—
1446C4×C5C2×H(5,𝔽2)12yes—
1447Dic5—24no—
1448Dic5—24no—
1449Dic5—24no—
1450Dic5—24no—
1451Dic5—24no—
1452C24—52no—
1453C24—54no—
1454C24—54no—
1455C24—58no—
1456C24—52no—
1457C24—108no—
1458C24—204no—
1459C24—204no—
1460C24C23×D511yescharacteristic
1461#41—28no—
1462#41—28no—
1463#41—44no—
1464#41—1016no—
1465#41—1016no—
1466#41—108no—
1467#41—108no—
1468#41—2016no—
1469#41—204no—
1470#41—2016no—
1471#41—208no—
1472#41—208no—
1473C2×Q8—52no—
1474C2×Q8—52no—
1475C2×Q8—52no—
1476C2×Q8—58no—
1477C2×Q8—208no—
1478C2×Q8C23×D512yes—
1479C2×Q8C23×D512yes—
1480C2×Q8C23×D512yes—
1481C2×D4—58no—
1482C2×D4—54no—
1483C2×D4—54no—
1484C2×D4—54no—
1485C2×D4—58no—
1486C2×D4—58no—
1487C2×D4—58no—
1488C2×D4—58no—
1489C2×D4—52no—
1490C2×D4—52no—
1491C2×D4—58no—
1492C2×D4—54no—
1493C2×D4—54no—
1494C2×D4—52no—
1495C2×D4—52no—
1496C2×D4—52no—
1497C2×D4—52no—
1498C2×D4—52no—
1499C2×D4—58no—
1500C2×D4—58no—
1501C2×D4—108no—
1502C2×D4—108no—
1503C2×D4—108no—
1504C2×D4—108no—
1505C2×D4—1016no—
1506C2×D4—108no—
1507C2×D4—1016no—
1508C2×D4—1032no—
1509C2×D4—104no—
1510C2×D4—208no—
1511C2×D4—2016no—
1512C2×D4—2016no—
1513C2×D4C23×D514yes—
1514C2×D4C23×D514yes—
1515C2×D4C23×D512yes—
1516C2×D4C23×D514yes—
1517C2×D4C23×D512yes—
1518C2×D4C23×D512yes—
1519C22×C4—24no—
1520C22×C4—24no—
1521C22×C4—42no—
1522C22×C4—54no—
1523C22×C4—52no—
1524C22×C4—54no—
1525C22×C4—52no—
1526C22×C4—58no—
1527C22×C4—58no—
1528C22×C4—54no—
1529C22×C4—54no—
1530C22×C4—54no—
1531C22×C4—54no—
1532C22×C4—54no—
1533C22×C4—54no—
1534C22×C4—58no—
1535C22×C4—54no—
1536C22×C4—54no—
1537C22×C4—54no—
1538C22×C4—58no—
1539C22×C4—58no—
1540C22×C4—54no—
1541C22×C4—54no—
1542C22×C4—1016no—
1543C22×C4—204no—
1544C22×C4—208no—
1545C22×C4—204no—
1546C22×C4—208no—
1547C22×C4—204no—
1548C22×C4—204no—
1549C22×C4—2016no—
1550C22×C4—208no—
1551C22×C4—204no—
1552C22×C4C23×D511yescharacteristic
1553C22×C4C23×D511yescharacteristic
1554C22×C4C23×D511yescharacteristic
1555C22×C4C23×D511yescharacteristic
1556C22×C4C23×D511yescharacteristic
1557C22×C4C23×D511yescharacteristic
1558C22×C4C23×D511yescharacteristic
1559C22×C4C23×D511yescharacteristic
1560C22×C4C23×D511yescharacteristic
1561C22×C4C23×D511yescharacteristic
1562C22×C4C23×D514yes—
1563C22×C4C23×D511yescharacteristic
1564C22×C4C23×D511yescharacteristic
1565C22×C4C23×D514yes—
1566C22×C4C23×D511yescharacteristic
1567C22×C4C23×D511yescharacteristic
1568C22×C4C23×D511yescharacteristic
1569C22×C4C23×D511yescharacteristic
1570C22×C4C23×D514yes—
1571C22×C4C23×D511yescharacteristic
1572C22×C4C23×D511yescharacteristic
1573C4⋊C4—52no—
1574C4⋊C4—52no—
1575C4⋊C4—52no—
1576C4⋊C4—52no—
1577C4⋊C4—54no—
1578C4⋊C4—54no—
1579C4⋊C4—52no—
1580C4⋊C4—52no—
1581C4⋊C4—52no—
1582C4⋊C4—58no—
1583C4⋊C4—54no—
1584C4⋊C4—54no—
1585C4⋊C4—58no—
1586C4⋊C4—58no—
1587C4⋊C4—58no—
1588C4⋊C4—58no—
1589C4⋊C4—58no—
1590C4⋊C4—52no—
1591C4⋊C4—54no—
1592C4⋊C4—54no—
1593C4⋊C4—54no—
1594C4⋊C4—54no—
1595C4⋊C4—52no—
1596C4⋊C4—52no—
1597C4⋊C4C23×D512yes—
1598C4⋊C4C23×D512yes—
1599C4⋊C4C23×D512yes—
1600C4⋊C4C23×D514yes—
1601C4⋊C4C23×D514yes—
1602C4⋊C4C23×D512yes—
1603C4⋊C4C23×D514yes—
1604C4⋊C4C23×D512yes—
1605C4⋊C4C23×D512yes—
1606C4⋊C4C23×D514yes—
1607C4⋊C4C23×D514yes—
1608C4⋊C4C23×D514yes—
1609C22⋊C4—54no—
1610C22⋊C4—54no—
1611C22⋊C4—54no—
1612C22⋊C4—58no—
1613C22⋊C4—58no—
1614C22⋊C4—54no—
1615C22⋊C4—54no—
1616C22⋊C4—54no—
1617C22⋊C4—54no—
1618C22⋊C4—54no—
1619C22⋊C4—54no—
1620C22⋊C4—54no—
1621C22⋊C4—54no—
1622C22⋊C4—58no—
1623C22⋊C4—58no—
1624C22⋊C4—54no—
1625C22⋊C4—54no—
1626C22⋊C4—58no—
1627C22⋊C4—54no—
1628C22⋊C4—58no—
1629C22⋊C4—58no—
1630C22⋊C4—58no—
1631C22⋊C4—58no—
1632C22⋊C4—58no—
1633C22⋊C4—54no—
1634C22⋊C4—54no—
1635C22⋊C4—54no—
1636C22⋊C4C23×D514yes—
1637C22⋊C4C23×D514yes—
1638C22⋊C4C23×D514yes—
1639C22⋊C4C23×D514yes—
1640C22⋊C4C23×D514yes—
1641C22⋊C4C23×D514yes—
1642C22⋊C4C23×D514yes—
1643C22⋊C4C23×D514yes—
1644C22⋊C4C23×D514yes—
1645C42—58no—
1646C42—58no—
1647C42—54no—
1648C42—54no—
1649C42—54no—
1650C42C23×D511yescharacteristic
1651C42C23×D511yescharacteristic
1652C42C23×D511yescharacteristic
1653C42C23×D511yescharacteristic
1654C42C23×D511yescharacteristic
1655C42C23×D511yescharacteristic
1656C42C23×D511yescharacteristic
1657C42C23×D511yescharacteristic
1658C42C23×D511yescharacteristic
1659C42C23×D511yescharacteristic
1660C42C23×D511yescharacteristic
1661C42C23×D511yescharacteristic
1662C42C23×D514yes—
1663C42C23×D514yes—
1664C42C23×D511yescharacteristic
1665C42C23×D514yes—
1666C42C23×D511yescharacteristic
1667C42C23×D511yescharacteristic
1668C42C23×D511yescharacteristic
1669C2×C5—22no—
1670C2×C5—22no—
1671C2×C5—22no—
1672C2×C5—44no—
1673C2×C5C23×#4111yescharacteristic
1674C2×C5C22×H(5,𝔽2)11yescharacteristic
1675C2×C5C2×#58511yescharacteristic
1676D5—28no—
1677D5—44no—
1678D5—44no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—54no—
1683C23—58no—
1684C23—54no—
1685C23—54no—
1686C23—108no—
1687C23—108no—
1688C23—1016no—
1689C23—104no—
1690C23—108no—
1691C23—108no—
1692C23—202no—
1693C23—204no—
1694C23—202no—
1695C23—202no—
1696C23—204no—
1697C23—202no—
1698C23—208no—
1699C23—208no—
1700C23—2032no—
1701C23C24×D514yes—
1702C23C24×D511yescharacteristic
1703C23C24×D511yescharacteristic
1704C23C24×D511yescharacteristic
1705Q8—24no—
1706Q8—24no—
1707Q8—42no—
1708Q8—104no—
1709Q8—104no—
1710Q8—208no—
1711Q8—202no—
1712D4—28no—
1713D4—28no—
1714D4—28no—
1715D4—24no—
1716D4—24no—
1717D4—42no—
1718D4—58no—
1719D4—58no—
1720D4—108no—
1721D4—108no—
1722D4—1016no—
1723D4—1016no—
1724D4—108no—
1725D4—108no—
1726D4—108no—
1727D4—104no—
1728D4—104no—
1729D4—104no—
1730D4—104no—
1731D4—208no—
1732D4—208no—
1733D4—202no—
1734D4—208no—
1735D4—208no—
1736D4—208no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—28no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—28no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—44no—
1756C2×C4—54no—
1757C2×C4—54no—
1758C2×C4—54no—
1759C2×C4—54no—
1760C2×C4—54no—
1761C2×C4—1016no—
1762C2×C4—108no—
1763C2×C4—108no—
1764C2×C4—108no—
1765C2×C4—108no—
1766C2×C4—108no—
1767C2×C4—108no—
1768C2×C4—108no—
1769C2×C4—204no—
1770C2×C4—204no—
1771C2×C4—204no—
1772C2×C4—204no—
1773C2×C4—208no—
1774C2×C4—208no—
1775C2×C4—208no—
1776C2×C4—204no—
1777C2×C4—202no—
1778C2×C4—204no—
1779C2×C4—202no—
1780C2×C4—208no—
1781C2×C4D5×#4114yescomplemented
1782C2×C4#414914yescomplemented
1783C2×C4C24×D511yescharacteristic
1784C2×C4C24×D514yes—
1785C2×C4C24×D514yes—
1786C2×C4C24×D511yescharacteristic
1787C2×C4C24×D511yescharacteristic
1788C2×C4C24×D511yescharacteristic
1789C2×C4C24×D511yescharacteristic
1790C2×C4C24×D511yescharacteristic
1791C2×C4C24×D511yescharacteristic
1792C2×C4C24×D511yescharacteristic
1793C2×C4C24×D514yes—
1794C2×C4C24×D511yescharacteristic
1795C2×C4C24×D511yescharacteristic
1796C2×C4C24×D511yescharacteristic
1797C2×C4C24×D511yescharacteristic
1798C5#6277311yescharacteristic, complemented, Sylow
1799C22—28no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—24no—
1807C22—24no—
1808C22—24no—
1809C22—58no—
1810C22—104no—
1811C22—104no—
1812C22—104no—
1813C22—104no—
1814C22—104no—
1815C22—104no—
1816C22—104no—
1817C22—104no—
1818C22—208no—
1819C22—2016no—
1820C22—2016no—
1821C22—208no—
1822C22—4016no—
1823C22C2×D5×#4112yes—
1824C22C2×#414912yes—
1825C22#6628312yes—
1826C22C25×D511yescharacteristic
1827C4—21no—
1828C4—21no—
1829C4—24no—
1830C4—21no—
1831C4—21no—
1832C4—24no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—24no—
1838C4—104no—
1839C4—104no—
1840C4—104no—
1841C4—104no—
1842C4—104no—
1843C4C2×D5×#4112yes—
1844C4C2×D5×#4112yes—
1845C4C2×#414912yes—
1846C4C2×#414912yes—
1847C2—22no—
1848C2—22no—
1849C2—22no—
1850C2—44no—
1851C2—108no—
1852C2—204no—
1853C2—204no—
1854C2C22×D5×#4111yescharacteristic
1855C2C22×#414911yescharacteristic
1856C2C2×#6628311yescharacteristic
subgroupG/H
centerC2×C4C24×D5
commutator, socle, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC5×#3444C2
hypercenter#3444D5
hypocenterC5#62773
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. C5×#3444C2semidirect
2. #10618186C2semidirect
3. #10618181C2semidirect
4. #10618177C2semidirect
5. #10618160C2semidirect
6. #10618148C2semidirect
7. #10618142C2semidirect
8. #10618139C2semidirect
9. #10618124C2semidirect
10. #10618068C2semidirect
11. #10618067C2semidirect
12. #10618062C2semidirect
13. #10618061C2semidirect
14. #10618059C2semidirect
15. #10618054C2semidirect
16. #10618048C2semidirect
17. #10617944C2semidirect
18. #10617940C2semidirect
19. D5×#525C2semidirect
20. #10617925C2semidirect
21. #10617744C2semidirect
22. #10617741C2semidirect
23. #41×D20C2semidirect
24. #10617739C2semidirect
25. C4×#4149C2semidirect
26. #10617581C2semidirect
27. C22×C4×D20C2semidirect
29. C2×D5×#41C22semidirect
31. C23×C4×D5C22semidirect
32. C5×#533C22semidirect
33. C5×#533C22semidirect
34. C5×#533C22semidirect
35. C5×#532C22semidirect
36. C5×#532C22semidirect
37. C5×#532C22semidirect
38. C5×#529C22semidirect
39. C5×#529C22semidirect
40. C5×#529C22semidirect
41. C5×#529C22semidirect
42. C5×#529C22semidirect
43. C5×#529C22semidirect
44. C5×#525C22semidirect
45. C5×#525C22semidirect
46. C5×#525C22semidirect
47. C4×C5×#41C22semidirect
48. C4×C5×#41C22semidirect
49. C4×C5×#41C22semidirect
50. C22×C42×C5C22semidirect
51. #66167C22semidirect
52. #66164C22semidirect
53. #66163C22semidirect
54. #66162C22semidirect
55. #66161C22semidirect
56. #66125C22semidirect
57. #66125C22semidirect
58. #66125C22semidirect
59. C22×#685C22semidirect
60. C22×C4⋊Dic5C22semidirect
61. #66068C22semidirect
62. #66066C22semidirect
63. #66064C22semidirect
64. #66061C22semidirect
65. #66060C22semidirect
66. #66060C22semidirect
67. #66052C22semidirect
68. #66051C22semidirect
69. #66043C22semidirect
70. #66041C22semidirect
71. #66039C22semidirect
72. #66038C22semidirect
73. #66029C22semidirect
74. #66029C22semidirect
75. #66028C22semidirect
76. #66026C22semidirect
77. #66024C22semidirect
78. #66015C22semidirect
79. #66012C22semidirect
80. #66011C22semidirect
81. #66010C22semidirect
82. #66010C22semidirect
83. #65999C22semidirect
84. #65992C22semidirect
85. #65990C22semidirect
86. #65988C22semidirect
87. #65987C22semidirect
88. D5×#123C22semidirect
89. #65978C22semidirect
90. #65976C22semidirect
91. #65971C22semidirect
92. #65969C22semidirect
93. #65968C22semidirect
94. #65964C22semidirect
95. #65964C22semidirect
96. #65961C22semidirect
97. #65961C22semidirect
98. D5×C22⋊Q8C22semidirect
99. D5×C22⋊Q8C22semidirect
100. #65952C22semidirect
101. #65951C22semidirect
102. #65945C22semidirect
103. #65944C22semidirect
104. #65943C22semidirect
105. #65943C22semidirect
106. #65940C22semidirect
107. #65940C22semidirect
108. #65939C22semidirect
109. D5×#121C22semidirect
110. D5×#121C22semidirect
111. D5×#120C22semidirect
112. #65920C22semidirect
113. #65919C22semidirect
114. #65918C22semidirect
115. #65916C22semidirect
116. #65915C22semidirect
117. #65914C22semidirect
118. #65914C22semidirect
119. #65913C22semidirect
120. #65913C22semidirect
121. #65911C22semidirect
122. #65910C22semidirect
123. Q8×D20C22semidirect
124. #65908C22semidirect
125. C4×#713C22semidirect
126. #65899C22semidirect
127. #65899C22semidirect
128. #65897C22semidirect
129. #65896C22semidirect
130. #65894C22semidirect
131. #65892C22semidirect
132. #65890C22semidirect
133. #65889C22semidirect
134. #65889C22semidirect
135. #65888C22semidirect
136. #65888C22semidirect
137. #65885C22semidirect
138. #65884C22semidirect
139. #65884C22semidirect
140. #65884C22semidirect
141. D4×D20C22semidirect
142. D4×D20C22semidirect
143. D4×D20C22semidirect
144. #65882C22semidirect
145. #65881C22semidirect
146. #65881C22semidirect
147. #65881C22semidirect
148. #65879C22semidirect
149. #65879C22semidirect
150. C4×D4×D5C22semidirect
151. C4×D4×D5C22semidirect
152. C4×D4×D5C22semidirect
153. #65877C22semidirect
154. #65875C22semidirect
155. #65869C22semidirect
156. #65868C22semidirect
157. #65864C22semidirect
158. #65862C22semidirect
159. #65861C22semidirect
160. #65861C22semidirect
161. #65859C22semidirect
162. #65858C22semidirect
163. #65858C22semidirect
164. #65857C22semidirect
165. #65857C22semidirect
167. #65855C22semidirect
168. D5×#117C22semidirect
169. #65853C22semidirect
170. #65813C22semidirect
171. #65813C22semidirect
172. #65813C22semidirect
173. #65813C22semidirect
174. #65813C22semidirect
175. #65813C22semidirect
176. #65813C22semidirect
177. #65811C22semidirect
178. #65811C22semidirect
179. #65811C22semidirect
180. #65811C22semidirect
181. C4×#709C22semidirect
182. C4×#709C22semidirect
183. C4×#709C22semidirect
184. C4×#709C22semidirect
187. C2×C4×D20C22semidirect
188. C2×C4×D20C22semidirect
189. C2×C4×D20C22semidirect
190. C2×C4×D20C22semidirect
191. C2×C4×D20C22semidirect
192. C2×C4×D20C22semidirect
193. C2×C4×D20C22semidirect
194. C2×C4×D20C22semidirect
195. C2×C4×D20C22semidirect
196. C2×C4×D20C22semidirect
197. C2×C4×D20C22semidirect
198. C2×C4×D20C22semidirect
199. C2×C4×D20C22semidirect
200. #65804C22semidirect
201. #65804C22semidirect
202. #65804C22semidirect
215. C2×#713C23semidirect
216. C2×Q8×D5C23semidirect
218. C2×#711C23semidirect
223. C2×D4×D5C23semidirect
228. C2×#709C23semidirect
247. C22×C4×D5C23semidirect
248. C5×C4⋊Q8C23semidirect
249. C5×C4⋊Q8C23semidirect
250. C5×C4⋊Q8C23semidirect
251. C5×#127C23semidirect
252. C5×#126C23semidirect
253. C5×#126C23semidirect
254. C5×#125C23semidirect
255. C5×#125C23semidirect
256. C5×#125C23semidirect
257. C5×#124C23semidirect
258. C5×#124C23semidirect
259. C5×#124C23semidirect
276. C4×C5×Q8C23semidirect
277. C4×C5×Q8C23semidirect
278. C4×C5×Q8C23semidirect
279. C4×C5×Q8C23semidirect
280. C4×C5×Q8C23semidirect
281. C4×C5×Q8C23semidirect
288. C4×C5×D4C23semidirect
289. C4×C5×D4C23semidirect
290. C4×C5×D4C23semidirect
291. C4×C5×D4C23semidirect
292. C4×C5×D4C23semidirect
293. C4×C5×D4C23semidirect
297. C5×#117C23semidirect
298. C5×#117C23semidirect
299. C5×#117C23semidirect
312. C2×C42×C5C23semidirect
315. #4093C23semidirect
316. #4092C23semidirect
317. #4092C23semidirect
318. #4092C23semidirect
319. #4092C23semidirect
320. Q8×Dic5C23semidirect
324. #4085C23semidirect
325. #4084C23semidirect
326. #4084C23semidirect
327. #4084C23semidirect
331. #4083C23semidirect
335. D4×Dic5C23semidirect
344. #4076C23semidirect
345. #4076C23semidirect
349. #4075C23semidirect
356. C4×C22⋊D5C23semidirect
357. C4×C22⋊D5C23semidirect
358. C4×C22⋊D5C23semidirect
367. C2×#685C23semidirect
371. #4072C23semidirect
379. C2×C4⋊Dic5C23semidirect
386. #4070C23semidirect
387. #4044C23semidirect
388. #4044C23semidirect
389. #4044C23semidirect
390. #4044C23semidirect
391. #4043C23semidirect
392. #4043C23semidirect
393. #4043C23semidirect
394. #4043C23semidirect
395. #4042C23semidirect
396. #4042C23semidirect
397. #4042C23semidirect
398. #4042C23semidirect
403. #4041C23semidirect
404. #4041C23semidirect
405. #4041C23semidirect
408. #4040C23semidirect
409. #4040C23semidirect
410. #4040C23semidirect
411. #4040C23semidirect
412. #4040C23semidirect
415. #4039C23semidirect
416. #4039C23semidirect
417. #4039C23semidirect
418. #4038C23semidirect
419. #4038C23semidirect
420. #4038C23semidirect
421. #4038C23semidirect
422. D5×C4⋊C4C23semidirect
423. D5×C4⋊C4C23semidirect
424. D5×C4⋊C4C23semidirect
425. D5×C4⋊C4C23semidirect
426. D5×C4⋊C4C23semidirect
427. #4036C23semidirect
428. #4036C23semidirect
429. #4035C23semidirect
430. #4034C23semidirect
432. #4032C23semidirect
433. #4032C23semidirect
434. #4031C23semidirect
435. #4031C23semidirect
438. #4030C23semidirect
439. #4030C23semidirect
440. #4030C23semidirect
441. #4029C23semidirect
442. #4029C23semidirect
443. #4029C23semidirect
444. #4029C23semidirect
450. #4028C23semidirect
453. #4027C23semidirect
454. #4027C23semidirect
455. #4027C23semidirect
459. D5×C22⋊C4C23semidirect
460. D5×C22⋊C4C23semidirect
461. D5×C22⋊C4C23semidirect
462. #4025C23semidirect
465. #4024C23semidirect
467. #4022C23semidirect
468. #4022C23semidirect
469. #4022C23semidirect
471. #4021C23semidirect
472. #4021C23semidirect
473. #4021C23semidirect
474. #4021C23semidirect
476. #4020C23semidirect
503. C4×D20C23semidirect
504. C4×D20C23semidirect
505. C4×D20C23semidirect
506. C4×D20C23semidirect
507. C4×D20C23semidirect
508. C4×D20C23semidirect
509. C4×D20C23semidirect
510. C4×D20C23semidirect
511. C4×D20C23semidirect
512. C4×D20C23semidirect
513. #4018C23semidirect
514. #4018C23semidirect
515. #4018C23semidirect
516. #4018C23semidirect
517. #4018C23semidirect
518. C42×D5C23semidirect
519. C42×D5C23semidirect
520. #4016C23semidirect
521. #4016C23semidirect
522. #4016C23semidirect
523. #4016C23semidirect
524. #4015C23semidirect
525. #4015C23semidirect
526. #4015C23semidirect
527. #4015C23semidirect
528. C4×Dic10C23semidirect
529. C4×Dic10C23semidirect
530. C4×Dic10C23semidirect
531. C4×Dic10C23semidirect
532. C4×Dic10C23semidirect
533. C4×Dic10C23semidirect
534. C4×Dic10C23semidirect
558. #3444D5semidirect
642. C2×D20#41semidirect
865. #533C2×D5semidirect
866. #533C2×D5semidirect
867. #533C2×D5semidirect
873. #532C2×D5semidirect
874. #532C2×D5semidirect
875. #532C2×D5semidirect
886. #529C2×D5semidirect
887. #529C2×D5semidirect
888. #529C2×D5semidirect
889. #529C2×D5semidirect
890. #529C2×D5semidirect
891. #529C2×D5semidirect
907. #525C2×D5semidirect
908. #525C2×D5semidirect
909. #525C2×D5semidirect
929. C4×#41C2×D5semidirect
930. C4×#41C2×D5semidirect
931. C4×#41C2×D5semidirect
953. C22×C42C2×D5semidirect
976. C22×D5C2×#41semidirect
1008. C2×C4×C5C2×#41semidirect
1009. C2×C4×C5H(5,𝔽2)semidirect
1052. D20C2×#41semidirect
1053. D20C2×#41semidirect
1122. C4⋊Q8C22×D5semidirect
1123. C4⋊Q8C22×D5semidirect
1124. C4⋊Q8C22×D5semidirect
1128. #127C22×D5semidirect
1137. #126C22×D5semidirect
1138. #126C22×D5semidirect
1146. #125C22×D5semidirect
1147. #125C22×D5semidirect
1148. #125C22×D5semidirect
1158. #124C22×D5semidirect
1159. #124C22×D5semidirect
1160. #124C22×D5semidirect
1265. C4×Q8C22×D5semidirect
1266. C4×Q8C22×D5semidirect
1267. C4×Q8C22×D5semidirect
1268. C4×Q8C22×D5semidirect
1269. C4×Q8C22×D5semidirect
1270. C4×Q8C22×D5semidirect
1335. C4×D4C22×D5semidirect
1336. C4×D4C22×D5semidirect
1337. C4×D4C22×D5semidirect
1338. C4×D4C22×D5semidirect
1339. C4×D4C22×D5semidirect
1340. C4×D4C22×D5semidirect
1358. #117C22×D5semidirect
1359. #117C22×D5semidirect
1360. #117C22×D5semidirect
1403. C2×C42C22×D5semidirect
1781. C2×C4D5×#41semidirect
1782. C2×C4#4149semidirect
1798. C5#62773semidirect

Maximal subgroups

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

subgroupindex
C5×#34442
#106181862
#106181812
#106181772
#106181602
#106181482
#106181422
#106181392
#106181242
#106180682
#106180672
#106180622
#106180612
#106180592
#106180542
#106180482
#106179442
#106179402
D5×#5252
#106179252
#106177442
#106177412
#41×D202
#106177392
C4×#41492
#106175812
C22×C4×D202
#627735