Finite Group Databasebeta

← D5×#3516 #13007485

Subgroups — D5×#3516 #13007485

Order 1280.

7130 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3516C211yesmaximal, characteristic, complemented
2D5×#557C211yesmaximal, characteristic, complemented
3#10618923C211yesmaximal, characteristic, complemented
4D5×#556C213yesmaximal, complemented
5#10618888C213yesmaximal, complemented
6D5×#554C213yesmaximal, complemented
7#10618833C213yesmaximal, complemented
8D5×#553C213yesmaximal, complemented
9#10618786C213yesmaximal, complemented
10D5×#552C213yesmaximal, complemented
11#10618739C213yesmaximal, complemented
12D4×Q8×D5C211yesmaximal, characteristic, complemented
13#10618650C211yesmaximal, characteristic, complemented
14D5×#548C211yesmaximal, characteristic, complemented
15D5×#548C211yesmaximal, characteristic, complemented
16#10618620C211yesmaximal, characteristic, complemented
17#10618619C211yesmaximal, characteristic, complemented
18#10618456C213yesmaximal, complemented
19D5×#542C213yesmaximal, complemented
20#10618413C213yesmaximal, complemented
21D5×#541C213yesmaximal, complemented
22D5×#529C213yesmaximal, complemented
23D5×#529C213yesmaximal, complemented
24#10618026C213yesmaximal, complemented
25#10618025C213yesmaximal, complemented
26#10617807C211yesmaximal, characteristic, complemented
27D5×#520C211yesmaximal, characteristic, complemented
28#10617784C211yesmaximal, characteristic, complemented
29D5×#519C211yesmaximal, characteristic, complemented
30#10617721C211yesmaximal, characteristic, complemented
31C2×C4×Q8×D5C211yesmaximal, characteristic, complemented
32C2×D5×#41C2211yescharacteristic
33C22×Q8×D5C2211yescharacteristic
34C22×Q8×D5C2211yescharacteristic
35C5×#557C2211yescharacteristic, complemented
36C5×#556C2213yescomplemented
37C5×#554C2213yescomplemented
38C5×#553C2213yescomplemented
39C5×#552C2213yescomplemented
40C5×D4×Q8C2211yescharacteristic, complemented
41C5×#548C2211yescharacteristic, complemented
42C5×#548C2211yescharacteristic, complemented
43C5×#542C2213yescomplemented
44C5×#541C2213yescomplemented
45C5×#529C2213yescomplemented
46C5×#529C2213yescomplemented
47C5×#520C2211yescharacteristic, complemented
48C5×#519C2211yescharacteristic, complemented
49C2×C4×C5×Q8C2211yescharacteristic, complemented
50#66165C2211yescharacteristic, complemented
51#66165C2211yescharacteristic, complemented
52#66161C2211yescharacteristic, complemented
53#66151C2211yescharacteristic, complemented
54#66151C2211yescharacteristic, complemented
55Q8×C22⋊D5C2211yescharacteristic, complemented
56Q8×C22⋊D5C2211yescharacteristic, complemented
57#66146C2211yescharacteristic, complemented
58C2×Q8×Dic5C2211yescharacteristic, complemented
59#66067C2213yescomplemented
60#66066C2213yescomplemented
61#66065C2213yescomplemented
62#66064C2213yescomplemented
63#66061C2213yescomplemented
64D5×C4⋊Q8C2213yes—
65D5×C4⋊Q8C2213yes—
66#66055C2213yescomplemented
67#66044C2216yescomplemented
68#66043C2216yescomplemented
69#66042C2216yescomplemented
70#66040C2213yescomplemented
71#66040C2216yescomplemented
72#66040C2213yescomplemented
73D5×#126C2213yes—
74D5×#126C2216yes—
75D5×#126C2216yes—
76D5×#126C2213yes—
77#66036C2216yescomplemented
78#66036C2216yescomplemented
79#66035C2216yescomplemented
80#66035C2216yescomplemented
81#66031C2213yescomplemented
82#66030C2216yescomplemented
83#66030C2216yescomplemented
84#66029C2213yescomplemented
85#66028C2213yescomplemented
86#66027C2216yescomplemented
87#66025C2213yescomplemented
88#66025C2213yescomplemented
89#66024C2216yescomplemented
90D5×#125C2213yes—
91D5×#125C2213yes—
92D5×#125C2216yes—
93D5×#125C2213yes—
94#66019C2213yescomplemented
95#66019C2213yescomplemented
96#66016C2213yescomplemented
97#66014C2213yescomplemented
98#66014C2213yescomplemented
99#66011C2213yescomplemented
100#66011C2213yescomplemented
101D5×#124C2213yes—
102D5×#124C2213yes—
103D5×#124C2213yes—
104#66005C2213yescomplemented
105#66005C2213yescomplemented
106#66003C2216yescomplemented
107#65996C2216yescomplemented
108#65995C2216yescomplemented
109D5×#123C2216yes—
110D5×#123C2211yescharacteristic
111D5×#123C2213yes—
112#65984C2216yescomplemented
113#65983C2213yescomplemented
114#65983C2216yescomplemented
115#65983C2213yescomplemented
116#65977C2213yescomplemented
117#65976C2213yescomplemented
118#65975C2216yescomplemented
119#65974C2216yescomplemented
120#65973C2213yescomplemented
121#65970C2216yescomplemented
122#65970C2216yescomplemented
123#65969C2213yescomplemented
124#65969C2213yescomplemented
125#65967C2213yescomplemented
126#65967C2213yescomplemented
127#65966C2213yescomplemented
128#65966C2213yescomplemented
129D5×C22⋊Q8C2213yes—
130D5×C22⋊Q8C2213yes—
131D5×C22⋊Q8C2216yes—
132D5×C22⋊Q8C2213yes—
133D5×C22⋊Q8C2213yes—
134D5×C22⋊Q8C2213yes—
135#65959C2213yescomplemented
136#65959C2213yescomplemented
137#65958C2213yescomplemented
138#65958C2213yescomplemented
139#65952C2213yescomplemented
140#65948C2213yescomplemented
141D5×#121C2213yes—
142D5×#121C2213yes—
143D5×#121C2213yes—
144#65937C2213yescomplemented
145#65935C2216yescomplemented
146#65934C2213yescomplemented
147#65934C2213yescomplemented
148#65932C2213yescomplemented
149#65932C2213yescomplemented
150#65918C2213yescomplemented
151#65917C2213yescomplemented
152#65917C2213yescomplemented
153#65916C2213yescomplemented
154#65915C2213yescomplemented
155#65914C2213yescomplemented
156#65914C2213yescomplemented
157#65913C2213yescomplemented
158#65910C2211yescharacteristic, complemented
159#65910C2211yescharacteristic, complemented
160Q8×D20C2211yescharacteristic, complemented
161#65908C2211yescharacteristic, complemented
162#65908C2211yescharacteristic, complemented
163#65906C2213yescomplemented
164#65906C2211yescharacteristic, complemented
165#65906C2213yescomplemented
166#65906C2211yescharacteristic, complemented
167C4×Q8×D5C2211yescharacteristic
168C4×Q8×D5C2211yescharacteristic
169C4×Q8×D5C2213yes—
170C4×Q8×D5C2213yes—
171C4×Q8×D5C2213yes—
172C4×Q8×D5C2211yescharacteristic
173C4×Q8×D5C2213yes—
174C4×Q8×D5C2213yes—
175C4×Q8×D5C2211yescharacteristic
176C4×Q8×D5C2213yescomplemented
177C4×Q8×D5C2211yescharacteristic, complemented
178C4×Q8×D5C2213yescomplemented
179C4×Q8×D5C2211yescharacteristic, complemented
180#65904C2211yescharacteristic, complemented
181#65903C2211yescharacteristic, complemented
182#65903C2211yescharacteristic, complemented
183#65902C2213yescomplemented
184#65902C2213yescomplemented
185#65901C2213yescomplemented
186#65899C2213yescomplemented
187#65895C2213yescomplemented
188#65892C2213yescomplemented
189#65891C2213yescomplemented
190#65891C2213yescomplemented
191#65886C2213yescomplemented
192#65886C2213yescomplemented
193#65880C2213yescomplemented
194#65880C2213yescomplemented
195C4×D4×D5C2213yes—
196C4×D4×D5C2213yes—
197C4×D4×D5C2213yes—
198C4×D4×D5C2213yes—
199C4×D4×D5C2213yes—
200C4×D4×D5C2216yes—
201#65877C2213yescomplemented
202#65876C2213yescomplemented
203#65875C2213yescomplemented
204#65874C2216yescomplemented
205#65873C2216yescomplemented
206#65872C2213yescomplemented
207#65872C2216yescomplemented
208#65872C2213yescomplemented
209D4×Dic10C2213yescomplemented
210#65868C2213yescomplemented
211#65867C2216yescomplemented
212#65865C2216yescomplemented
213#65864C2213yescomplemented
214#65863C2213yescomplemented
215#65862C2216yescomplemented
216#65862C2213yescomplemented
217#65862C2213yescomplemented
218#65857C2213yescomplemented
219D5×#117C2216yes—
220D5×#117C2213yes—
221D5×#117C2213yes—
222D5×#117C2213yes—
223#65852C2213yescomplemented
224#65850C2213yescomplemented
225#65850C2213yescomplemented
226#65848C2213yescomplemented
227#65847C2213yescomplemented
228#65845C2213yescomplemented
229#65845C2213yescomplemented
230#65838C2213yescomplemented
231C2×D5×C4⋊C4C2213yes—
232C2×D5×C4⋊C4C2213yes—
233C2×#4033C2213yescomplemented
234#65813C2213yescomplemented
235#65813C2213yescomplemented
236C2×C42×D5C2213yes—
237C2×C4×Dic10C2213yescomplemented
238C2×#3516—51nomaximal, Sylow
239C2×C5×#41C2311yescharacteristic
240C22×C5×Q8C2311yescharacteristic
241C22×C5×Q8C2311yescharacteristic
242D5×#41—28no—
243C2×#713C2311yescharacteristic
244C2×Q8×D5—28no—
245C2×Q8×D5—28no—
246C2×Q8×D5C2313yes—
247C2×Q8×D5C2313yes—
248C2×Q8×D5C2313yes—
249C2×Q8×D5C2313yes—
250C2×Q8×D5C2311yescharacteristic
251C2×Q8×D5C2311yescharacteristic
252C2×Q8×D5C2313yes—
253C2×Q8×D5C2311yescharacteristic
254C2×#711C2313yes—
255C2×D4×D5C2313yes—
256C2×D4×D5C2311yescharacteristic
257C2×D4×D5C2313yes—
258C2×D4×D5C2313yes—
259C2×#709C2313yes—
260C22×C4×D5C2311yescharacteristic
261C22×C4×D5C2313yes—
262C22×C4×D5C2313yes—
263C22×C4×D5C2313yes—
264C22×C4×D5C2313yes—
265C22×C4×D5C2316yes—
266C22×Dic10C2313yes—
267C22×Dic10C2313yes—
268C5×C4⋊Q8C2313yes—
269C5×C4⋊Q8C2313yes—
270C5×#126C2316yes—
271C5×#126C2313yes—
272C5×#126C2313yes—
273C5×#126C2316yes—
274C5×#125C2313yes—
275C5×#125C2313yes—
276C5×#125C2316yes—
277C5×#125C2313yes—
278C5×#124C2313yes—
279C5×#124C2313yes—
280C5×#124C2313yes—
281C5×#123C2311yescharacteristic
282C5×#123C2313yes—
283C5×#123C2316yes—
284C5×C22⋊Q8C2313yes—
285C5×C22⋊Q8C2313yes—
286C5×C22⋊Q8C2313yes—
287C5×C22⋊Q8C2313yes—
288C5×C22⋊Q8C2313yes—
289C5×C22⋊Q8C2316yes—
290C5×#121C2313yes—
291C5×#121C2313yes—
292C5×#121C2313yes—
293C4×C5×Q8C2313yes—
294C4×C5×Q8C2313yes—
295C4×C5×Q8C2313yes—
296C4×C5×Q8C2311yescharacteristic
297C4×C5×Q8C2311yescharacteristic
298C4×C5×Q8C2311yescharacteristic
299C4×C5×Q8C2311yescharacteristic
300C4×C5×Q8C2313yes—
301C4×C5×Q8C2313yes—
302C4×C5×D4C2313yes—
303C4×C5×D4C2316yes—
304C4×C5×D4C2313yes—
305C4×C5×D4C2313yes—
306C4×C5×D4C2313yes—
307C4×C5×D4C2313yes—
308C5×#117C2313yes—
309C5×#117C2313yes—
310C5×#117C2313yes—
311C5×#117C2316yes—
312C2×C5×C4⋊C4C2313yes—
313C2×C5×C4⋊C4C2313yes—
314C2×C42×C5C2313yes—
315#4093C2313yes—
316#4093C2313yes—
317#4093C2313yes—
318#4092C2313yes—
319#4092C2313yes—
320#4092C2313yes—
321#4092C2316yes—
322#4092C2313yes—
323#4092C2313yes—
324Q8×Dic5C2313yes—
325Q8×Dic5C2313yes—
326Q8×Dic5C2313yes—
327Q8×Dic5C2313yes—
328Q8×Dic5C2313yes—
329Q8×Dic5C2311yescharacteristic
330Q8×Dic5C2311yescharacteristic
331Q8×Dic5C2311yescharacteristic
332Q8×Dic5C2311yescharacteristic
333#4090C2316yes—
334#4090C2313yes—
335#4090C2313yes—
336#4085C2313yes—
337#4085C2316yes—
338#4085C2313yes—
339#4085C2316yes—
340#4084C2313yes—
341#4084C2313yes—
342#4084C2313yes—
343#4082C2313yes—
344#4082C2313yes—
345#4082C2313yes—
346#4081C2311yescharacteristic
347#4081C2313yes—
348#4081C2316yes—
349D4×Dic5C2313yes—
350D4×Dic5C2313yes—
351D4×Dic5C2316yes—
352D4×Dic5C2313yes—
353D4×Dic5C2313yes—
354D4×Dic5C2313yes—
355#4076C2313yes—
356#4076C2313yes—
357#4076C2313yes—
358#4075C2311yescharacteristic
359#4075C2313yes—
360#4075C2316yes—
361C4×C22⋊D5C2316yes—
362C4×C22⋊D5C2313yes—
363C4×C22⋊D5C2313yes—
364C4×C22⋊D5C2316yes—
365C4×C22⋊D5C2316yes—
366C4×C22⋊D5C2316yes—
367C4×C22⋊D5C2313yes—
368C4×C22⋊D5C2313yes—
369C4×C22⋊D5C2313yes—
370C4×C22⋊D5C2313yes—
371#4072C2313yes—
372#4072C2316yes—
373#4072C2313yes—
374#4072C2313yes—
375C2×C4⋊Dic5C2313yes—
376C2×C4⋊Dic5C2313yes—
377#4070C2313yes—
378#4070C2313yes—
379#4070C2313yes—
380#4070C2316yes—
381#4070C2313yes—
382#4070C2313yes—
383C2×#683C2316yes—
384C2×#683C2316yes—
385C2×C4×Dic5C2313yes—
386C2×C4×Dic5C2313yes—
387C2×C4×Dic5C2313yes—
388#4044C2316yes—
389#4044C2316yes—
390#4044C2313yes—
391#4044C2316yes—
392#4044C2313yes—
393#4044C2316yes—
394#4044C2313yes—
395#4044C2313yes—
396#4044C2316yes—
397#4044C2313yes—
398#4044C2313yes—
399#4044C2316yes—
400#4043C2313yes—
401#4043C2313yes—
402#4043C2316yes—
403#4043C2313yes—
404#4043C2313yes—
405#4043C2313yes—
406#4042C2316yes—
407#4042C2316yes—
408#4042C2313yes—
409#4042C2316yes—
410#4042C2313yes—
411#4042C2316yes—
412#4042C2316yes—
413#4042C2316yes—
414#4041C2313yes—
415#4041C2313yes—
416#4041C2313yes—
417#4040C2316yes—
418#4040C2316yes—
419#4040C2311yescharacteristic
420#4040C2313yes—
421#4040C2313yes—
422#4040C2311yescharacteristic
423#4039C2313yes—
424#4039C2316yes—
425#4039C2313yes—
426#4039C2313yes—
427#4039C2313yes—
428#4039C2313yes—
429#4038C2316yes—
430#4038C2313yes—
431#4038C2313yes—
432#4038C2313yes—
433#4038C2316yes—
434#4038C2313yes—
435#4038C2313yes—
436#4038C2313yes—
437D5×C4⋊C4C2313yes—
438D5×C4⋊C4C2313yes—
439D5×C4⋊C4C2313yes—
440D5×C4⋊C4C2316yes—
441D5×C4⋊C4C2316yes—
442D5×C4⋊C4C2313yes—
443D5×C4⋊C4C2313yes—
444D5×C4⋊C4C2313yes—
445D5×C4⋊C4C2313yes—
446D5×C4⋊C4C2316yes—
447D5×C4⋊C4C2313yes—
448D5×C4⋊C4C2313yes—
449D5×C4⋊C4C2316yes—
450D5×C4⋊C4C2316yes—
451D5×C4⋊C4C2311yescharacteristic
452D5×C4⋊C4C2313yes—
453D5×C4⋊C4C2313yes—
454D5×C4⋊C4C2313yes—
455D5×C4⋊C4C2313yes—
456D5×C4⋊C4C2313yes—
457D5×C4⋊C4C2313yes—
458D5×C4⋊C4C2311yescharacteristic
459D5×C4⋊C4C2313yes—
460#4036C2313yes—
461#4036C2313yes—
462#4036C2316yes—
463#4036C2313yes—
464#4036C2313yes—
465#4036C2316yes—
466#4036C2313yes—
467#4036C2313yes—
468#4035C2316yes—
469#4035C2316yes—
470#4035C2313yes—
471#4035C2316yes—
472#4035C2316yes—
473#4035C2316yes—
474#4035C2313yes—
475#4035C2316yes—
476#4035C2313yes—
477#4035C2313yes—
478#4035C2316yes—
479#4035C2316yes—
480#4034C2316yes—
481#4034C2313yes—
482#4034C2313yes—
483#4034C2316yes—
484#4034C2316yes—
485#4033C2313yes—
486#4033C2313yes—
487#4033C2313yes—
488#4033C2313yes—
489#4033C2313yes—
490#4033C2316yes—
491#4033C2316yes—
492#4033C2313yes—
493#4033C2313yes—
494#4033C2313yes—
495#4033C2316yes—
496#4033C2316yes—
497#4033C2313yes—
498#4033C2313yes—
499#4033C2313yes—
500#4032C2316yes—
501#4032C2311yescharacteristic
502#4032C2313yes—
503#4031C2316yes—
504#4031C2313yes—
505#4031C2313yes—
506#4031C2316yes—
507#4031C2316yes—
508#4031C2313yes—
509#4031C2313yes—
510#4031C2316yes—
511#4030C2313yes—
512#4030C2313yes—
513#4030C2316yes—
514#4030C2316yes—
515#4029C2311yescharacteristic
516#4029C2313yes—
517#4029C2313yes—
518#4029C2316yes—
519#4029C2311yescharacteristic
520#4029C2316yes—
521#4027C2316yes—
522#4027C2316yes—
523#4027C2313yes—
524#4027C2313yes—
525#4027C2316yes—
526#4027C2313yes—
527#4027C2313yes—
528#4027C2316yes—
529#4027C2313yes—
530#4027C2313yes—
531D5×C22⋊C4C2313yes—
532D5×C22⋊C4C2311yescharacteristic
533D5×C22⋊C4C2313yes—
534D5×C22⋊C4C2313yes—
535D5×C22⋊C4C2313yes—
536D5×C22⋊C4C2316yes—
537D5×C22⋊C4C2311yescharacteristic
538D5×C22⋊C4C2313yes—
539D5×C22⋊C4C2311yescharacteristic
540D5×C22⋊C4C2316yes—
541D5×C22⋊C4C2313yes—
542D5×C22⋊C4C2313yes—
543#4025C2316yes—
544#4025C2316yes—
545#4025C2313yes—
546#4025C2313yes—
547#4025C2316yes—
548#4025C2313yes—
549#4025C2316yes—
550#4025C2316yes—
551#4025C2313yes—
552#4025C2313yes—
553#4025C2316yes—
554#4025C2313yes—
555#4024C2316yes—
556#4024C2316yes—
557#4024C2316yes—
558#4024C2313yes—
559#4024C2313yes—
560#4024C2316yes—
561#4024C2316yes—
562#4024C2316yes—
563#4023C2313yes—
564#4023C2316yes—
565#4023C2313yes—
566#4023C2316yes—
567#4023C2313yes—
568#4023C2313yes—
569#4023C2316yes—
570#4022C2313yes—
571#4022C2313yes—
572#4022C2316yes—
573#4022C2316yes—
574#4021C2313yes—
575#4021C2313yes—
576#4021C2313yes—
577C4×D20C2313yes—
578C4×D20C2313yes—
579C4×D20C2313yes—
580C4×D20C2313yes—
581C4×D20C2313yes—
582C4×D20C2316yes—
583#4018C2313yes—
584#4018C2313yes—
585#4018C2313yes—
586#4018C2313yes—
587#4018C2316yes—
588#4018C2316yes—
589#4018C2316yes—
590C42×D5C2313yes—
591C42×D5C2313yes—
592C42×D5C2313yes—
593C42×D5C2313yes—
594C42×D5C2313yes—
595C42×D5C2313yes—
596C42×D5C2313yes—
597C42×D5C2313yes—
598C42×D5C2313yes—
599C42×D5C2313yes—
600C42×D5C2316yes—
601#4016C2313yes—
602#4016C2313yes—
603#4016C2313yes—
604#4016C2316yes—
605#4015C2313yes—
606#4015C2313yes—
607C4×Dic10C2313yes—
608C4×Dic10C2313yes—
609C4×Dic10C2313yes—
610C4×Dic10C2313yes—
611C4×Dic10C2316yes—
612C4×Dic10C2313yes—
613C4×Dic10C2313yes—
614C4×Dic10C2316yes—
615C4×Dic10C2313yes—
616C4×Dic10C2313yes—
617C4×Dic10C2313yes—
618C4×Dic10C2313yes—
619C4×Dic10C2313yes—
620C4×Dic10C2316yes—
621C4×Dic10C2316yes—
622#3516—51no—
623#3516—53no—
624#3516—53no—
625#3516—53no—
626#3516—53no—
627#3516—51no—
628#3516—51no—
629#3516—51no—
630#3516—53no—
631#3516—53no—
632#3516—53no—
633#3516—53no—
634#3516—51no—
635#3516—51no—
636#3516—51no—
637#3516D511yescharacteristic, direct product factor
638C2×#557—51no—
639C2×#556—53no—
640C2×#554—53no—
641C2×#553—53no—
642C2×#552—53no—
643C2×D4×Q8—51no—
644C2×#548—51no—
645C2×#548—51no—
646C2×#542—53no—
647C2×#541—53no—
648C2×#529—53no—
649C2×#529—53no—
650C2×#520—51no—
651C2×#519—51no—
652C22×C4×Q8—51no—
653C23×D5C2411yescharacteristic
654C23×D5C2413yes—
655C23×D5C2411yescharacteristic
656C5×#41—24no—
657C2×C5×Q8—24no—
658C2×C5×Q8—24no—
659C2×C5×Q8C2413yes—
660C2×C5×Q8C2413yes—
661C2×C5×Q8C2413yes—
662C2×C5×Q8C2411yescharacteristic
663C2×C5×D4C2411yescharacteristic
664C2×C5×D4C2413yes—
665C2×C5×D4C2413yes—
666C2×C5×D4C2413yes—
667C22×C4×C5C2411yescharacteristic
668C22×C4×C5C2413yes—
669C22×C4×C5C2413yes—
670C22×C4×C5C2413yes—
671C22×C4×C5C2413yes—
672C22×C4×C5C2416yes—
673C2×C22⋊D5C2416yes—
674C2×C22⋊D5C2413yes—
675C2×C22⋊D5C2411yescharacteristic
676C2×C22⋊D5C2411yescharacteristic
677C2×C22⋊D5C2413yes—
678C2×C22⋊D5C2413yes—
679C2×C22⋊D5C2413yes—
680C22×Dic5C2413yes—
681C22×Dic5C2413yes—
682C22×Dic5C2413yes—
683C22×Dic5C2411yescharacteristic
684C22×Dic5C2416yes—
685C22×Dic5C2413yes—
686#713—24no—
687Q8×D5—24no—
688Q8×D5—24no—
689Q8×D5—212no—
690Q8×D5—212no—
691Q8×D5—212no—
692Q8×D5—212no—
693Q8×D5—46no—
694Q8×D5#4118yes—
695#711—212no—
696D4×D5—212no—
697D4×D5—24no—
698D4×D5—212no—
699D4×D5—46no—
700#709—212no—
701C2×D20C2413yes—
702C2×D20C2411yescharacteristic
703C2×D20C2413yes—
704C2×D20C2413yes—
705C2×C4×D5—24no—
706C2×C4×D5—212no—
707C2×C4×D5—212no—
708C2×C4×D5—212no—
709C2×C4×D5—412no—
710C2×C4×D5—46no—
711C2×C4×D5C2413yes—
712C2×C4×D5C2411yescharacteristic
713C2×C4×D5C2413yes—
714C2×C4×D5C2413yes—
715C2×C4×D5C2413yes—
716C2×C4×D5C2413yes—
717C2×C4×D5C2413yes—
718C2×C4×D5C2413yes—
719C2×C4×D5C2413yes—
720C2×C4×D5C2413yes—
721C2×C4×D5C2413yes—
722C2×C4×D5C2413yes—
723C2×C4×D5C2411yescharacteristic
724C2×C4×D5C2411yescharacteristic
725C2×C4×D5C2411yescharacteristic
726C2×C4×D5C2411yescharacteristic
727C2×C4×D5C2411yescharacteristic
728C2×C4×D5C2413yes—
729C2×C4×D5C2411yescharacteristic
730C2×C4×D5C2413yes—
731C2×C4×D5C2413yes—
732C2×C4×D5C2416yes—
733C2×C4×D5C2416yes—
734C2×C4×D5C2413yes—
735C2×Dic10—212no—
736C2×Dic10—212no—
737C2×Dic10C2413yes—
738C2×Dic10C2413yes—
739C2×Dic10C2416yes—
740C2×Dic10C2416yes—
741C2×Dic10C2413yes—
742C2×Dic10C2413yes—
743C2×Dic10C2413yes—
744C2×Dic10C2413yes—
745C5×C4⋊C4C2413yes—
746C5×C4⋊C4C2413yes—
747C5×C4⋊C4C2413yes—
748C5×C4⋊C4C2413yes—
749C5×C4⋊C4C2416yes—
750C5×C4⋊C4C2411yescharacteristic
751C5×C4⋊C4C2413yes—
752C5×C4⋊C4C2413yes—
753C5×C4⋊C4C2413yes—
754C5×C4⋊C4C2413yes—
755C5×C4⋊C4C2416yes—
756C5×C4⋊C4C2413yes—
757C5×C4⋊C4C2413yes—
758C5×C4⋊C4C2416yes—
759C5×C4⋊C4C2413yes—
760C5×C4⋊C4C2411yescharacteristic
761C5×C4⋊C4C2413yes—
762C5×C22⋊C4C2413yes—
763C5×C22⋊C4C2411yescharacteristic
764C5×C22⋊C4C2413yes—
765C5×C22⋊C4C2413yes—
766C5×C22⋊C4C2413yes—
767C5×C22⋊C4C2416yes—
768C5×C22⋊C4C2411yescharacteristic
769C5×C22⋊C4C2413yes—
770C5×C22⋊C4C2411yescharacteristic
771C5×C22⋊C4C2416yes—
772C5×C22⋊C4C2413yes—
773C5×C22⋊C4C2413yes—
774C42×C5C2413yes—
775C42×C5C2413yes—
776C42×C5C2413yes—
777C42×C5C2413yes—
778C42×C5C2416yes—
779C42×C5C2413yes—
780C42×C5C2413yes—
781C22⋊Dic5C2413yes—
782C22⋊Dic5C2411yescharacteristic
783C22⋊Dic5C2413yes—
784C22⋊Dic5C2416yes—
785C22⋊Dic5C2413yes—
786C22⋊Dic5C2413yes—
787C22⋊Dic5C2411yescharacteristic
788C22⋊Dic5C2413yes—
789C22⋊Dic5C2416yes—
790C22⋊Dic5C2413yes—
791C22⋊Dic5C2413yes—
792C22⋊Dic5C2411yescharacteristic
793#685C2411yescharacteristic
794#685C2413yes—
795#685C2411yescharacteristic
796#685C2413yes—
797#685C2413yes—
798#685C2413yes—
799#685C2413yes—
800#685C2413yes—
801#685C2416yes—
802#685C2413yes—
803#685C2416yes—
804#685C2413yes—
805#685C2411yescharacteristic
806#685C2411yescharacteristic
807#685C2413yes—
808#685C2413yes—
809#685C2416yes—
810#685C2413yes—
811#685C2413yes—
812#685C2413yes—
813#685C2413yes—
814#685C2416yes—
815#685C2411yescharacteristic
816#685C2411yescharacteristic
817C4⋊Dic5C2413yes—
818C4⋊Dic5C2411yescharacteristic
819C4⋊Dic5C2413yes—
820C4⋊Dic5C2413yes—
821C4⋊Dic5C2413yes—
822C4⋊Dic5C2416yes—
823C4⋊Dic5C2413yes—
824C4⋊Dic5C2413yes—
825C4⋊Dic5C2413yes—
826C4⋊Dic5C2413yes—
827C4⋊Dic5C2413yes—
828C4⋊Dic5C2416yes—
829C4⋊Dic5C2416yes—
830C4⋊Dic5C2413yes—
831C4⋊Dic5C2413yes—
832C4⋊Dic5C2413yes—
833C4⋊Dic5C2411yescharacteristic
834#683C2416yes—
835#683C2411yescharacteristic
836#683C2411yescharacteristic
837#683C2413yes—
838#683C2416yes—
839#683C2413yes—
840#683C2413yes—
841#683C2416yes—
842#683C2413yes—
843#683C2416yes—
844#683C2416yes—
845#683C2413yes—
846#683C2413yes—
847#683C2413yes—
848#683C2413yes—
849#683C2416yes—
850#683C2411yescharacteristic
851#683C2413yes—
852#683C2413yes—
853#683C2416yes—
854#683C2413yes—
855#683C2413yes—
856#683C2416yes—
857#683C2416yes—
858#683C2411yescharacteristic
859#683C2416yes—
860#683C2413yes—
861#683C2413yes—
862#683C2413yes—
863#683C2413yes—
864C4×Dic5C2413yes—
865C4×Dic5C2413yes—
866C4×Dic5C2413yes—
867C4×Dic5C2413yes—
868C4×Dic5C2413yes—
869C4×Dic5C2413yes—
870C4×Dic5C2416yes—
871C4×Dic5C2413yes—
872C4×Dic5C2413yes—
873C4×Dic5C2416yes—
874C4×Dic5C2413yes—
875C4×Dic5C2413yes—
876C4×Dic5C2413yes—
877C4×Dic5C2413yes—
878C4×Dic5C2413yes—
879C4×Dic5C2413yes—
880C4×Dic5C2413yes—
881C4×Dic5C2413yes—
882C4×Dic5C2413yes—
883C4×Dic5C2416yes—
884C4×Dic5C2413yes—
885C22×#41—51no—
886C23×Q8—51no—
887C23×Q8—51no—
888#557—53no—
889#557—53no—
890#557—53no—
891#557—53no—
892#557—51no—
893#557—51no—
894#557—51no—
895#557C2×D511yescharacteristic, complemented
896#556—53no—
897#556—56no—
898#556—56no—
899#556—53no—
900#556—53no—
901#556—56no—
902#556—53no—
903#556—53no—
904#556—53no—
905#556—53no—
906#556—56no—
907#556C2×D513yescomplemented
908#554—53no—
909#554—56no—
910#554—53no—
911#554—53no—
912#554—56no—
913#554—56no—
914#554—53no—
915#554—56no—
916#554—53no—
917#554—53no—
918#554—53no—
919#554C2×D513yescomplemented
920#553—56no—
921#553—53no—
922#553—56no—
923#553—56no—
924#553—53no—
925#553—53no—
926#553—56no—
927#553—53no—
928#553—53no—
929#553—53no—
930#553—53no—
931#553C2×D513yescomplemented
932#552—56no—
933#552—56no—
934#552—53no—
935#552—56no—
936#552—53no—
937#552—53no—
938#552—53no—
939#552—53no—
940#552—53no—
941#552—56no—
942#552—53no—
943#552C2×D513yescomplemented
944D4×Q8—51no—
945D4×Q8—51no—
946D4×Q8—53no—
947D4×Q8—53no—
948D4×Q8—53no—
949D4×Q8—51no—
950D4×Q8—53no—
951D4×Q8C2×D511yescharacteristic, complemented
952#548—51no—
953#548—51no—
954#548—51no—
955#548—51no—
956#548—53no—
957#548—53no—
958#548—53no—
959#548—53no—
960#548—53no—
961#548—53no—
962#548—51no—
963#548—51no—
964#548—53no—
965#548—53no—
966#548C2×D511yescharacteristic, complemented
967#548C2×D511yescharacteristic, complemented
968#542—53no—
969#542—56no—
970#542—56no—
971#542—53no—
972#542—56no—
973#542—56no—
974#542—53no—
975#542—53no—
976#542—53no—
977#542—53no—
978#542—53no—
979#542C2×D513yescomplemented
980#541—53no—
981#541—56no—
982#541—56no—
983#541—56no—
984#541—56no—
985#541—53no—
986#541—53no—
987#541—53no—
988#541—53no—
989#541—53no—
990#541—53no—
991#541C2×D513yescomplemented
992C2×C4⋊Q8—53no—
993C2×C4⋊Q8—53no—
994#529—53no—
995#529—53no—
996#529—56no—
997#529—53no—
998#529—53no—
999#529—53no—
1000#529—53no—
1001#529—53no—
1002#529—53no—
1003#529—56no—
1004#529—53no—
1005#529—53no—
1006#529—53no—
1007#529—53no—
1008#529—53no—
1009#529—53no—
1010#529—53no—
1011#529—53no—
1012#529—56no—
1013#529—53no—
1014#529—53no—
1015#529—53no—
1016#529—53no—
1017#529—56no—
1018#529—53no—
1019#529—53no—
1020#529C2×D513yescomplemented
1021#529C2×D513yescomplemented
1022C2×#126—56no—
1023C2×#126—53no—
1024C2×#126—53no—
1025C2×#126—56no—
1026C2×#125—53no—
1027C2×#125—53no—
1028C2×#125—56no—
1029C2×#125—53no—
1030C2×#124—53no—
1031C2×#124—53no—
1032C2×#124—53no—
1033C2×#123—51no—
1034C2×#123—53no—
1035C2×#123—56no—
1036C2×C22⋊Q8—53no—
1037C2×C22⋊Q8—53no—
1038C2×C22⋊Q8—53no—
1039C2×C22⋊Q8—53no—
1040C2×C22⋊Q8—53no—
1041C2×C22⋊Q8—56no—
1042C2×#121—53no—
1043C2×#121—53no—
1044C2×#121—53no—
1045#520—51no—
1046#520—51no—
1047#520—51no—
1048#520—53no—
1049#520—53no—
1050#520—53no—
1051#520—53no—
1052#520C2×D511yescharacteristic, complemented
1053#519—51no—
1054#519—53no—
1055#519—53no—
1056#519—51no—
1057#519—51no—
1058#519—53no—
1059#519—53no—
1060#519C2×D511yescharacteristic, complemented
1061C2×C4×Q8—51no—
1062C2×C4×Q8—51no—
1063C2×C4×Q8—53no—
1064C2×C4×Q8—51no—
1065C2×C4×Q8—53no—
1066C2×C4×Q8—51no—
1067C2×C4×Q8—53no—
1068C2×C4×Q8—51no—
1069C2×C4×Q8—53no—
1070C2×C4×Q8—53no—
1071C2×C4×Q8—51no—
1072C2×C4×Q8—53no—
1073C2×C4×Q8—51no—
1074C2×C4×Q8—53no—
1075C2×C4×Q8—53no—
1076C2×C4×Q8—53no—
1077C2×C4×Q8C2×D511yescharacteristic, complemented
1078C2×C4×D4—53no—
1079C2×C4×D4—53no—
1080C2×C4×D4—53no—
1081C2×C4×D4—53no—
1082C2×C4×D4—53no—
1083C2×C4×D4—56no—
1084C2×#117—53no—
1085C2×#117—53no—
1086C2×#117—53no—
1087C2×#117—56no—
1088C22×C4⋊C4—53no—
1089C22×C4⋊C4—53no—
1090C22×C42—53no—
1091C23×C5C2511yescharacteristic
1092C23×C5C2513yes—
1093C23×C5C2511yescharacteristic
1094C22×D5—22no—
1095C22×D5—22no—
1096C22×D5—22no—
1097C22×D5—26no—
1098C22×D5—22no—
1099C22×D5—26no—
1100C22×D5—26no—
1101C22×D5—22no—
1102C22×D52−1+414yes—
1103C22×D5C2511yescharacteristic
1104C22×D5C2513yes—
1105C22×D5C2511yescharacteristic
1106C22×D5C2511yescharacteristic
1107C5×Q8—26no—
1108C5×Q8—26no—
1109C5×Q8—43no—
1110C5×Q8C2×#4114yes—
1111C5×D4—22no—
1112C5×D4—26no—
1113C5×D4—26no—
1114C5×D4—43no—
1115C2×C4×C5—22no—
1116C2×C4×C5—26no—
1117C2×C4×C5—26no—
1118C2×C4×C5—26no—
1119C2×C4×C5—46no—
1120C2×C4×C5—43no—
1121C2×C4×C5C2511yescharacteristic
1122C2×C4×C5C2511yescharacteristic
1123C2×C4×C5C2513yes—
1124C2×C4×C5C2513yes—
1125C2×C4×C5C2511yescharacteristic
1126C2×C4×C5C2511yescharacteristic
1127C2×C4×C5C2513yes—
1128C2×C4×C5C2513yes—
1129C2×C4×C5C2513yes—
1130C2×C4×C5C2513yes—
1131C2×C4×C5C2511yescharacteristic
1132C2×C4×C5C2513yes—
1133C22⋊D5—22no—
1134C22⋊D5—26no—
1135C22⋊D5—26no—
1136C22⋊D5—22no—
1137C22⋊D5—212no—
1138C22⋊D5—43no—
1139C22⋊D5—43no—
1140C2×Dic5—22no—
1141C2×Dic5—26no—
1142C2×Dic5—26no—
1143C2×Dic5—26no—
1144C2×Dic5—46no—
1145C2×Dic5—43no—
1146C2×Dic5C2511yescharacteristic
1147C2×Dic5C2511yescharacteristic
1148C2×Dic5C2513yes—
1149C2×Dic5C2513yes—
1150C2×Dic5C2511yescharacteristic
1151C2×Dic5C2511yescharacteristic
1152C2×Dic5C2513yes—
1153C2×Dic5C2513yes—
1154C2×Dic5C2513yes—
1155C2×Dic5C2513yes—
1156C2×Dic5C2511yescharacteristic
1157C2×Dic5C2513yes—
1158D20—22no—
1159D20—26no—
1160D20—26no—
1161D20—43no—
1162C4×D5—22no—
1163C4×D5—26no—
1164C4×D5—26no—
1165C4×D5—22no—
1166C4×D5—22no—
1167C4×D5—22no—
1168C4×D5—22no—
1169C4×D5—22no—
1170C4×D5—26no—
1171C4×D5—26no—
1172C4×D5—26no—
1173C4×D5—26no—
1174C4×D5—22no—
1175C4×D5—26no—
1176C4×D5—26no—
1177C4×D5—26no—
1178C4×D5—26no—
1179C4×D5—26no—
1180C4×D5—26no—
1181C4×D5—46no—
1182C4×D5—43no—
1183C4×D5—46no—
1184C4×D5—43no—
1185C4×D5C2×#41112yes—
1186Dic10—26no—
1187Dic10—26no—
1188Dic10—212no—
1189Dic10—212no—
1190Dic10—43no—
1191Dic10—43no—
1192Dic10—43no—
1193Dic10C2×#41112yes—
1194C2×#41—51no—
1195C2×#41—53no—
1196C2×#41—53no—
1197C2×#41—108no—
1198C2×#41C22×D511yescharacteristic
1199C22×Q8—51no—
1200C22×Q8—53no—
1201C22×Q8—53no—
1202C22×Q8—53no—
1203C22×Q8—51no—
1204C22×Q8—53no—
1205C22×Q8—51no—
1206C22×Q8—53no—
1207C22×Q8—53no—
1208C22×Q8—53no—
1209C22×Q8—108no—
1210C22×Q8—108no—
1211C22×Q8C22×D511yescharacteristic
1212C22×Q8C22×D511yescharacteristic
1213C22×D4—53no—
1214C22×D4—51no—
1215C22×D4—53no—
1216C22×D4—53no—
1217C23×C4—53no—
1218C23×C4—53no—
1219C23×C4—53no—
1220C23×C4—51no—
1221C23×C4—53no—
1222C23×C4—56no—
1223C4⋊Q8—53no—
1224C4⋊Q8—53no—
1225C4⋊Q8—56no—
1226C4⋊Q8—56no—
1227C4⋊Q8—56no—
1228C4⋊Q8—56no—
1229C4⋊Q8—53no—
1230C4⋊Q8—53no—
1231C4⋊Q8—53no—
1232C4⋊Q8—53no—
1233C4⋊Q8C22×D513yes—
1234C4⋊Q8C22×D513yes—
1235#126—56no—
1236#126—56no—
1237#126—56no—
1238#126—53no—
1239#126—53no—
1240#126—53no—
1241#126—53no—
1242#126—53no—
1243#126—53no—
1244#126—56no—
1245#126—56no—
1246#126—56no—
1247#126—56no—
1248#126—56no—
1249#126—56no—
1250#126—53no—
1251#126—53no—
1252#126—53no—
1253#126—53no—
1254#126—53no—
1255#126—53no—
1256#126—56no—
1257#126—56no—
1258#126—56no—
1259#126—56no—
1260#126—53no—
1261#126—53no—
1262#126—56no—
1263#126C22×D516yes—
1264#126C22×D513yes—
1265#126C22×D513yes—
1266#126C22×D516yes—
1267#125—53no—
1268#125—53no—
1269#125—53no—
1270#125—53no—
1271#125—53no—
1272#125—53no—
1273#125—56no—
1274#125—56no—
1275#125—53no—
1276#125—53no—
1277#125—56no—
1278#125—56no—
1279#125—56no—
1280#125—56no—
1281#125—56no—
1282#125—56no—
1283#125—56no—
1284#125—56no—
1285#125—53no—
1286#125—53no—
1287#125—53no—
1288#125—53no—
1289#125—56no—
1290#125—53no—
1291#125C22×D513yes—
1292#125C22×D513yes—
1293#125C22×D516yes—
1294#125C22×D513yes—
1295#124—53no—
1296#124—53no—
1297#124—53no—
1298#124—53no—
1299#124—53no—
1300#124—53no—
1301#124—53no—
1302#124—53no—
1303#124—53no—
1304#124—53no—
1305#124—56no—
1306#124—56no—
1307#124—56no—
1308#124—56no—
1309#124—53no—
1310#124—53no—
1311#124—53no—
1312#124C22×D513yes—
1313#124C22×D513yes—
1314#124C22×D513yes—
1315#123—51no—
1316#123—53no—
1317#123—56no—
1318#123—51no—
1319#123—53no—
1320#123—56no—
1321#123—51no—
1322#123—51no—
1323#123—53no—
1324#123—53no—
1325#123—56no—
1326#123—56no—
1327#123—51no—
1328#123—53no—
1329#123—53no—
1330#123—51no—
1331#123—51no—
1332#123—53no—
1333#123—56no—
1334#123—56no—
1335#123—56no—
1336#123C22×D511yescharacteristic
1337#123C22×D513yes—
1338#123C22×D516yes—
1339C22⋊Q8—53no—
1340C22⋊Q8—53no—
1341C22⋊Q8—53no—
1342C22⋊Q8—53no—
1343C22⋊Q8—53no—
1344C22⋊Q8—56no—
1345C22⋊Q8—53no—
1346C22⋊Q8—53no—
1347C22⋊Q8—53no—
1348C22⋊Q8—53no—
1349C22⋊Q8—53no—
1350C22⋊Q8—56no—
1351C22⋊Q8—56no—
1352C22⋊Q8—53no—
1353C22⋊Q8—53no—
1354C22⋊Q8—53no—
1355C22⋊Q8—53no—
1356C22⋊Q8—56no—
1357C22⋊Q8—53no—
1358C22⋊Q8—56no—
1359C22⋊Q8—53no—
1360C22⋊Q8—56no—
1361C22⋊Q8—53no—
1362C22⋊Q8—56no—
1363C22⋊Q8—56no—
1364C22⋊Q8—56no—
1365C22⋊Q8—56no—
1366C22⋊Q8—53no—
1367C22⋊Q8—53no—
1368C22⋊Q8—56no—
1369C22⋊Q8—56no—
1370C22⋊Q8—56no—
1371C22⋊Q8—56no—
1372C22⋊Q8—56no—
1373C22⋊Q8C22×D513yes—
1374C22⋊Q8C22×D513yes—
1375C22⋊Q8C22×D513yes—
1376C22⋊Q8C22×D513yes—
1377C22⋊Q8C22×D513yes—
1378C22⋊Q8C22×D516yes—
1379#121—53no—
1380#121—56no—
1381#121—53no—
1382#121—53no—
1383#121—53no—
1384#121—53no—
1385#121—56no—
1386#121—53no—
1387#121—53no—
1388#121—53no—
1389#121—53no—
1390#121—53no—
1391#121—53no—
1392#121—56no—
1393#121—53no—
1394#121—53no—
1395#121—56no—
1396#121C22×D513yes—
1397#121C22×D513yes—
1398#121C22×D513yes—
1399C4×Q8—51no—
1400C4×Q8—53no—
1401C4×Q8—51no—
1402C4×Q8—53no—
1403C4×Q8—53no—
1404C4×Q8—51no—
1405C4×Q8—53no—
1406C4×Q8—51no—
1407C4×Q8—53no—
1408C4×Q8—53no—
1409C4×Q8—56no—
1410C4×Q8—53no—
1411C4×Q8—53no—
1412C4×Q8—56no—
1413C4×Q8—53no—
1414C4×Q8—56no—
1415C4×Q8—53no—
1416C4×Q8—53no—
1417C4×Q8—56no—
1418C4×Q8—53no—
1419C4×Q8—53no—
1420C4×Q8—53no—
1421C4×Q8—53no—
1422C4×Q8—53no—
1423C4×Q8—53no—
1424C4×Q8—56no—
1425C4×Q8—53no—
1426C4×Q8—53no—
1427C4×Q8—53no—
1428C4×Q8—56no—
1429C4×Q8—56no—
1430C4×Q8—53no—
1431C4×Q8—53no—
1432C4×Q8—53no—
1433C4×Q8—56no—
1434C4×Q8—53no—
1435C4×Q8—53no—
1436C4×Q8—53no—
1437C4×Q8—53no—
1438C4×Q8C22×D511yescharacteristic
1439C4×Q8C22×D513yes—
1440C4×Q8C22×D511yescharacteristic
1441C4×Q8C22×D513yes—
1442C4×Q8C22×D513yes—
1443C4×Q8C22×D511yescharacteristic
1444C4×Q8C22×D513yes—
1445C4×Q8C22×D511yescharacteristic
1446C4×Q8C22×D513yes—
1447C4×D4—53no—
1448C4×D4—53no—
1449C4×D4—53no—
1450C4×D4—53no—
1451C4×D4—53no—
1452C4×D4—56no—
1453C4×D4—56no—
1454C4×D4—56no—
1455C4×D4—53no—
1456C4×D4—53no—
1457C4×D4—53no—
1458C4×D4—53no—
1459C4×D4—53no—
1460C4×D4—53no—
1461C4×D4—56no—
1462C4×D4—56no—
1463C4×D4—53no—
1464C4×D4—53no—
1465C4×D4—53no—
1466C4×D4—53no—
1467C4×D4—53no—
1468C4×D4—56no—
1469C4×D4—56no—
1470C4×D4—56no—
1471C4×D4—53no—
1472C4×D4—53no—
1473C4×D4—53no—
1474C4×D4—53no—
1475C4×D4—53no—
1476C4×D4—53no—
1477C4×D4—56no—
1478C4×D4—56no—
1479C4×D4—53no—
1480C4×D4—53no—
1481C4×D4—53no—
1482C4×D4—53no—
1483C4×D4—53no—
1484C4×D4—56no—
1485C4×D4C22×D513yes—
1486C4×D4C22×D513yes—
1487C4×D4C22×D513yes—
1488C4×D4C22×D513yes—
1489C4×D4C22×D513yes—
1490C4×D4C22×D516yes—
1491#117—53no—
1492#117—53no—
1493#117—53no—
1494#117—56no—
1495#117—53no—
1496#117—53no—
1497#117—53no—
1498#117—53no—
1499#117—53no—
1500#117—53no—
1501#117—56no—
1502#117—56no—
1503#117—53no—
1504#117—53no—
1505#117—56no—
1506#117—53no—
1507#117—53no—
1508#117—56no—
1509#117—56no—
1510#117—53no—
1511#117—53no—
1512#117—56no—
1513#117—53no—
1514#117—53no—
1515#117—56no—
1516#117—56no—
1517#117C22×D513yes—
1518#117C22×D513yes—
1519#117C22×D513yes—
1520#117C22×D516yes—
1521C2×C4⋊C4—56no—
1522C2×C4⋊C4—53no—
1523C2×C4⋊C4—56no—
1524C2×C4⋊C4—53no—
1525C2×C4⋊C4—53no—
1526C2×C4⋊C4—53no—
1527C2×C4⋊C4—53no—
1528C2×C4⋊C4—53no—
1529C2×C4⋊C4—56no—
1530C2×C4⋊C4—56no—
1531C2×C4⋊C4—53no—
1532C2×C4⋊C4—53no—
1533C2×C4⋊C4—56no—
1534C2×C4⋊C4—53no—
1535C2×C4⋊C4—53no—
1536C2×C4⋊C4—51no—
1537C2×C4⋊C4—53no—
1538C2×C4⋊C4—53no—
1539C2×C4⋊C4—53no—
1540C2×C4⋊C4—53no—
1541C2×C4⋊C4—56no—
1542C2×C4⋊C4—53no—
1543C2×C4⋊C4—53no—
1544C2×C4⋊C4—56no—
1545C2×C4⋊C4—53no—
1546C2×C4⋊C4—51no—
1547C2×C4⋊C4—53no—
1548C2×C4⋊C4C22×D513yes—
1549C2×C4⋊C4C22×D513yes—
1550C2×C22⋊C4—53no—
1551C2×C22⋊C4—51no—
1552C2×C22⋊C4—53no—
1553C2×C22⋊C4—53no—
1554C2×C22⋊C4—53no—
1555C2×C22⋊C4—56no—
1556C2×C22⋊C4—51no—
1557C2×C22⋊C4—53no—
1558C2×C22⋊C4—51no—
1559C2×C22⋊C4—56no—
1560C2×C22⋊C4—53no—
1561C2×C22⋊C4—53no—
1562C2×C42—53no—
1563C2×C42—53no—
1564C2×C42—53no—
1565C2×C42—53no—
1566C2×C42—56no—
1567C2×C42—53no—
1568C2×C42—53no—
1569C2×C42—53no—
1570C2×C42—53no—
1571C2×C42—53no—
1572C2×C42—53no—
1573C2×C42—53no—
1574C2×C42—53no—
1575C2×C42—53no—
1576C2×C42C22×D513yes—
1577C22×C5—21no—
1578C22×C5—21no—
1579C22×C5—21no—
1580C22×C5—23no—
1581C22×C5—21no—
1582C22×C5—23no—
1583C22×C5—23no—
1584C22×C5—21no—
1585C22×C5C2×2−1+412yes—
1586C22×C5C2611yescharacteristic
1587C2×D5—21no—
1588C2×D5—21no—
1589C2×D5—28no—
1590C2×D5—21no—
1591C2×D5—23no—
1592C2×D5—21no—
1593C2×D5—23no—
1594C2×D5—23no—
1595C2×D5—21no—
1596C2×D5—44no—
1597C2×D5—412no—
1598C2×D5C22×#4112yes—
1599C2×D5C2×2−1+412yes—
1600C2×D5C2×2−1+412yes—
1601C2×D5#58512yes—
1602C4×C5—23no—
1603C4×C5—23no—
1604C4×C5—21no—
1605C4×C5—21no—
1606C4×C5—21no—
1607C4×C5—23no—
1608C4×C5—21no—
1609C4×C5—21no—
1610C4×C5—23no—
1611C4×C5—23no—
1612C4×C5—23no—
1613C4×C5C22×#4116yes—
1614Dic5—23no—
1615Dic5—23no—
1616Dic5—21no—
1617Dic5—21no—
1618Dic5—21no—
1619Dic5—23no—
1620Dic5—21no—
1621Dic5—21no—
1622Dic5—23no—
1623Dic5—23no—
1624Dic5—23no—
1625Dic5C22×#4116yes—
1626C24—51no—
1627C24—51no—
1628C24—53no—
1629#41—24no—
1630#41—1012no—
1631#41—1012no—
1632#41—104no—
1633C2×Q8—24no—
1634C2×Q8—24no—
1635C2×Q8—58no—
1636C2×Q8—53no—
1637C2×Q8—56no—
1638C2×Q8—56no—
1639C2×Q8—53no—
1640C2×Q8—53no—
1641C2×Q8—53no—
1642C2×Q8—53no—
1643C2×Q8—53no—
1644C2×Q8—1012no—
1645C2×Q8—1012no—
1646C2×Q8—1012no—
1647C2×Q8—1012no—
1648C2×Q8—1012no—
1649C2×Q8—1012no—
1650C2×Q8—104no—
1651C2×Q8—104no—
1652C2×Q8—206no—
1653C2×Q8C23×D513yes—
1654C2×Q8C23×D513yes—
1655C2×Q8C23×D513yes—
1656C2×Q8C23×D511yescharacteristic
1657C2×D4—53no—
1658C2×D4—51no—
1659C2×D4—53no—
1660C2×D4—51no—
1661C2×D4—56no—
1662C2×D4—53no—
1663C2×D4—53no—
1664C2×D4—53no—
1665C2×D4—51no—
1666C2×D4—53no—
1667C2×D4—53no—
1668C2×D4—1012no—
1669C2×D4—1012no—
1670C2×D4—104no—
1671C2×D4—206no—
1672C2×D4C23×D513yes—
1673C2×D4C23×D511yescharacteristic
1674C2×D4C23×D513yes—
1675C2×D4C23×D513yes—
1676C22×C4—53no—
1677C22×C4—51no—
1678C22×C4—53no—
1679C22×C4—53no—
1680C22×C4—53no—
1681C22×C4—53no—
1682C22×C4—56no—
1683C22×C4—51no—
1684C22×C4—51no—
1685C22×C4—51no—
1686C22×C4—51no—
1687C22×C4—53no—
1688C22×C4—51no—
1689C22×C4—53no—
1690C22×C4—51no—
1691C22×C4—53no—
1692C22×C4—53no—
1693C22×C4—53no—
1694C22×C4—53no—
1695C22×C4—53no—
1696C22×C4—53no—
1697C22×C4—51no—
1698C22×C4—53no—
1699C22×C4—53no—
1700C22×C4—53no—
1701C22×C4—53no—
1702C22×C4—53no—
1703C22×C4—53no—
1704C22×C4—56no—
1705C22×C4—56no—
1706C22×C4—1012no—
1707C22×C4—1012no—
1708C22×C4—1012no—
1709C22×C4—104no—
1710C22×C4—2012no—
1711C22×C4—206no—
1712C22×C4C23×D511yescharacteristic
1713C22×C4C23×D513yes—
1714C22×C4C23×D513yes—
1715C22×C4C23×D513yes—
1716C22×C4C23×D513yes—
1717C22×C4C23×D516yes—
1718C4⋊C4—56no—
1719C4⋊C4—53no—
1720C4⋊C4—53no—
1721C4⋊C4—53no—
1722C4⋊C4—53no—
1723C4⋊C4—56no—
1724C4⋊C4—53no—
1725C4⋊C4—56no—
1726C4⋊C4—53no—
1727C4⋊C4—56no—
1728C4⋊C4—56no—
1729C4⋊C4—56no—
1730C4⋊C4—51no—
1731C4⋊C4—51no—
1732C4⋊C4—51no—
1733C4⋊C4—53no—
1734C4⋊C4—53no—
1735C4⋊C4—53no—
1736C4⋊C4—56no—
1737C4⋊C4—53no—
1738C4⋊C4—53no—
1739C4⋊C4—53no—
1740C4⋊C4—53no—
1741C4⋊C4—53no—
1742C4⋊C4—53no—
1743C4⋊C4—53no—
1744C4⋊C4—56no—
1745C4⋊C4—56no—
1746C4⋊C4—56no—
1747C4⋊C4—53no—
1748C4⋊C4—53no—
1749C4⋊C4—53no—
1750C4⋊C4—53no—
1751C4⋊C4—53no—
1752C4⋊C4—53no—
1753C4⋊C4—56no—
1754C4⋊C4—56no—
1755C4⋊C4—56no—
1756C4⋊C4—53no—
1757C4⋊C4—53no—
1758C4⋊C4—53no—
1759C4⋊C4—51no—
1760C4⋊C4—51no—
1761C4⋊C4—51no—
1762C4⋊C4—53no—
1763C4⋊C4—53no—
1764C4⋊C4—53no—
1765C4⋊C4C23×D513yes—
1766C4⋊C4C23×D513yes—
1767C4⋊C4C23×D513yes—
1768C4⋊C4C23×D513yes—
1769C4⋊C4C23×D516yes—
1770C4⋊C4C23×D511yescharacteristic
1771C4⋊C4C23×D513yes—
1772C4⋊C4C23×D513yes—
1773C4⋊C4C23×D513yes—
1774C4⋊C4C23×D513yes—
1775C4⋊C4C23×D516yes—
1776C4⋊C4C23×D513yes—
1777C4⋊C4C23×D513yes—
1778C4⋊C4C23×D516yes—
1779C4⋊C4C23×D513yes—
1780C4⋊C4C23×D511yescharacteristic
1781C4⋊C4C23×D513yes—
1782C22⋊C4—53no—
1783C22⋊C4—51no—
1784C22⋊C4—53no—
1785C22⋊C4—53no—
1786C22⋊C4—53no—
1787C22⋊C4—56no—
1788C22⋊C4—51no—
1789C22⋊C4—53no—
1790C22⋊C4—51no—
1791C22⋊C4—56no—
1792C22⋊C4—53no—
1793C22⋊C4—53no—
1794C22⋊C4—53no—
1795C22⋊C4—53no—
1796C22⋊C4—51no—
1797C22⋊C4—51no—
1798C22⋊C4—53no—
1799C22⋊C4—53no—
1800C22⋊C4—53no—
1801C22⋊C4—53no—
1802C22⋊C4—53no—
1803C22⋊C4—53no—
1804C22⋊C4—56no—
1805C22⋊C4—56no—
1806C22⋊C4—51no—
1807C22⋊C4—53no—
1808C22⋊C4—53no—
1809C22⋊C4—51no—
1810C22⋊C4—51no—
1811C22⋊C4—51no—
1812C22⋊C4—56no—
1813C22⋊C4—56no—
1814C22⋊C4—53no—
1815C22⋊C4—53no—
1816C22⋊C4—53no—
1817C22⋊C4—53no—
1818C22⋊C4C23×D513yes—
1819C22⋊C4C23×D511yescharacteristic
1820C22⋊C4C23×D513yes—
1821C22⋊C4C23×D513yes—
1822C22⋊C4C23×D513yes—
1823C22⋊C4C23×D516yes—
1824C22⋊C4C23×D511yescharacteristic
1825C22⋊C4C23×D513yes—
1826C22⋊C4C23×D511yescharacteristic
1827C22⋊C4C23×D516yes—
1828C22⋊C4C23×D513yes—
1829C22⋊C4C23×D513yes—
1830C42—53no—
1831C42—53no—
1832C42—53no—
1833C42—53no—
1834C42—53no—
1835C42—53no—
1836C42—53no—
1837C42—53no—
1838C42—53no—
1839C42—53no—
1840C42—53no—
1841C42—53no—
1842C42—56no—
1843C42—56no—
1844C42—56no—
1845C42—53no—
1846C42—53no—
1847C42—53no—
1848C42—53no—
1849C42—53no—
1850C42—53no—
1851C42C23×D513yes—
1852C42C23×D513yes—
1853C42C23×D513yes—
1854C42C23×D513yes—
1855C42C23×D516yes—
1856C42C23×D513yes—
1857C42C23×D513yes—
1858C2×C5—22no—
1859C2×C5—41no—
1860C2×C5—43no—
1861C2×C5C23×#4111yescharacteristic
1862C2×C5C22×2−1+411yescharacteristic
1863C2×C5C2×#58511yescharacteristic
1864D5—22no—
1865D5—41no—
1866D5—43no—
1867D5#351614yesdirect product factor
1868C23—51no—
1869C23—54no—
1870C23—51no—
1871C23—51no—
1872C23—53no—
1873C23—102no—
1874C23—102no—
1875C23—102no—
1876C23—106no—
1877C23—106no—
1878C23—102no—
1879C23—106no—
1880C23—102no—
1881C23C24×D511yescharacteristic
1882C23C24×D513yes—
1883C23C24×D511yescharacteristic
1884Q8—26no—
1885Q8—26no—
1886Q8—43no—
1887Q8—512no—
1888Q8—1012no—
1889Q8—1012no—
1890Q8—106no—
1891Q8—106no—
1892Q8—203no—
1893Q8—203no—
1894Q8—203no—
1895Q8D5×#4114yes—
1896D4—26no—
1897D4—22no—
1898D4—26no—
1899D4—43no—
1900D4—106no—
1901D4—102no—
1902D4—1012no—
1903D4—106no—
1904D4—102no—
1905D4—106no—
1906D4—102no—
1907D4—106no—
1908D4—203no—
1909D4—203no—
1910D4—203no—
1911C2×C4—22no—
1912C2×C4—26no—
1913C2×C4—26no—
1914C2×C4—26no—
1915C2×C4—46no—
1916C2×C4—43no—
1917C2×C4—53no—
1918C2×C4—512no—
1919C2×C4—51no—
1920C2×C4—51no—
1921C2×C4—53no—
1922C2×C4—51no—
1923C2×C4—53no—
1924C2×C4—51no—
1925C2×C4—53no—
1926C2×C4—53no—
1927C2×C4—53no—
1928C2×C4—53no—
1929C2×C4—51no—
1930C2×C4—106no—
1931C2×C4—106no—
1932C2×C4—106no—
1933C2×C4—102no—
1934C2×C4—106no—
1935C2×C4—106no—
1936C2×C4—102no—
1937C2×C4—102no—
1938C2×C4—102no—
1939C2×C4—102no—
1940C2×C4—106no—
1941C2×C4—106no—
1942C2×C4—106no—
1943C2×C4—106no—
1944C2×C4—102no—
1945C2×C4—102no—
1946C2×C4—106no—
1947C2×C4—106no—
1948C2×C4—106no—
1949C2×C4—102no—
1950C2×C4—106no—
1951C2×C4—106no—
1952C2×C4—106no—
1953C2×C4—206no—
1954C2×C4—203no—
1955C2×C4—206no—
1956C2×C4—203no—
1957C2×C4—206no—
1958C2×C4—203no—
1959C2×C4C24×D511yescharacteristic
1960C2×C4C24×D511yescharacteristic
1961C2×C4C24×D513yes—
1962C2×C4C24×D511yescharacteristic
1963C2×C4C24×D513yes—
1964C2×C4C24×D511yescharacteristic
1965C2×C4C24×D513yes—
1966C2×C4C24×D513yes—
1967C2×C4C24×D513yes—
1968C2×C4C24×D513yes—
1969C2×C4C24×D511yescharacteristic
1970C2×C4C24×D513yes—
1971C5C2×#351611yescharacteristic, complemented, Sylow
1972C22—21no—
1973C22—21no—
1974C22—21no—
1975C22—23no—
1976C22—21no—
1977C22—23no—
1978C22—23no—
1979C22—21no—
1980C22—52no—
1981C22—52no—
1982C22—52no—
1983C22—52no—
1984C22—108no—
1985C22—101no—
1986C22—101no—
1987C22—101no—
1988C22—103no—
1989C22—101no—
1990C22—103no—
1991C22—103no—
1992C22—101no—
1993C22—204no—
1994C22—2012no—
1995C22D5×2−1+412yes—
1996C22C25×D511yescharacteristic
1997C4—21no—
1998C4—23no—
1999C4—23no—
2000C4—21no—
2001C4—21no—
2002C4—23no—
2003C4—21no—
2004C4—23no—
2005C4—23no—
2006C4—23no—
2007C4—21no—
2008C4—56no—
2009C4—101no—
2010C4—103no—
2011C4—103no—
2012C4—101no—
2013C4—101no—
2014C4—103no—
2015C4—101no—
2016C4—103no—
2017C4—103no—
2018C4—103no—
2019C4—101no—
2020C4C2×D5×#4116yes—
2021C2—22no—
2022C2—41no—
2023C2—43no—
2024C2—54no—
2025C2—102no—
2026C2—201no—
2027C2—203no—
2028C2C22×D5×#4111yescharacteristic
2029C2C2×D5×2−1+411yescharacteristic
2030C2D5×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D5
commutator, socle, cosocleC22×C5C26
FittingC5×#3516C2
hypercenter#3516D5
hypocenterC5C2×#3516
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #3516

Complements

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

NH ≅ G/Ntype
1. C5×#3516C2semidirect
2. D5×#557C2semidirect
3. #10618923C2semidirect
4. D5×#556C2semidirect
5. #10618888C2semidirect
6. D5×#554C2semidirect
7. #10618833C2semidirect
8. D5×#553C2semidirect
9. #10618786C2semidirect
10. D5×#552C2semidirect
11. #10618739C2semidirect
12. D4×Q8×D5C2semidirect
13. #10618650C2semidirect
14. D5×#548C2semidirect
15. D5×#548C2semidirect
16. #10618620C2semidirect
17. #10618619C2semidirect
18. #10618456C2semidirect
19. D5×#542C2semidirect
20. #10618413C2semidirect
21. D5×#541C2semidirect
22. D5×#529C2semidirect
23. D5×#529C2semidirect
24. #10618026C2semidirect
25. #10618025C2semidirect
26. #10617807C2semidirect
27. D5×#520C2semidirect
28. #10617784C2semidirect
29. D5×#519C2semidirect
30. #10617721C2semidirect
31. C2×C4×Q8×D5C2semidirect
35. C5×#557C22semidirect
36. C5×#556C22semidirect
37. C5×#554C22semidirect
38. C5×#553C22semidirect
39. C5×#552C22semidirect
40. C5×D4×Q8C22semidirect
41. C5×#548C22semidirect
42. C5×#548C22semidirect
43. C5×#542C22semidirect
44. C5×#541C22semidirect
45. C5×#529C22semidirect
46. C5×#529C22semidirect
47. C5×#520C22semidirect
48. C5×#519C22semidirect
49. C2×C4×C5×Q8C22semidirect
50. #66165C22semidirect
51. #66165C22semidirect
52. #66161C22semidirect
53. #66151C22semidirect
54. #66151C22semidirect
55. Q8×C22⋊D5C22semidirect
56. Q8×C22⋊D5C22semidirect
57. #66146C22semidirect
58. C2×Q8×Dic5C22semidirect
59. #66067C22semidirect
60. #66066C22semidirect
61. #66065C22semidirect
62. #66064C22semidirect
63. #66061C22semidirect
66. #66055C22semidirect
67. #66044C22semidirect
68. #66043C22semidirect
69. #66042C22semidirect
70. #66040C22semidirect
71. #66040C22semidirect
72. #66040C22semidirect
77. #66036C22semidirect
78. #66036C22semidirect
79. #66035C22semidirect
80. #66035C22semidirect
81. #66031C22semidirect
82. #66030C22semidirect
83. #66030C22semidirect
84. #66029C22semidirect
85. #66028C22semidirect
86. #66027C22semidirect
87. #66025C22semidirect
88. #66025C22semidirect
89. #66024C22semidirect
94. #66019C22semidirect
95. #66019C22semidirect
96. #66016C22semidirect
97. #66014C22semidirect
98. #66014C22semidirect
99. #66011C22semidirect
100. #66011C22semidirect
104. #66005C22semidirect
105. #66005C22semidirect
106. #66003C22semidirect
107. #65996C22semidirect
108. #65995C22semidirect
112. #65984C22semidirect
113. #65983C22semidirect
114. #65983C22semidirect
115. #65983C22semidirect
116. #65977C22semidirect
117. #65976C22semidirect
118. #65975C22semidirect
119. #65974C22semidirect
120. #65973C22semidirect
121. #65970C22semidirect
122. #65970C22semidirect
123. #65969C22semidirect
124. #65969C22semidirect
125. #65967C22semidirect
126. #65967C22semidirect
127. #65966C22semidirect
128. #65966C22semidirect
135. #65959C22semidirect
136. #65959C22semidirect
137. #65958C22semidirect
138. #65958C22semidirect
139. #65952C22semidirect
140. #65948C22semidirect
144. #65937C22semidirect
145. #65935C22semidirect
146. #65934C22semidirect
147. #65934C22semidirect
148. #65932C22semidirect
149. #65932C22semidirect
150. #65918C22semidirect
151. #65917C22semidirect
152. #65917C22semidirect
153. #65916C22semidirect
154. #65915C22semidirect
155. #65914C22semidirect
156. #65914C22semidirect
157. #65913C22semidirect
158. #65910C22semidirect
159. #65910C22semidirect
160. Q8×D20C22semidirect
161. #65908C22semidirect
162. #65908C22semidirect
163. #65906C22semidirect
164. #65906C22semidirect
165. #65906C22semidirect
166. #65906C22semidirect
176. C4×Q8×D5C22semidirect
177. C4×Q8×D5C22semidirect
178. C4×Q8×D5C22semidirect
179. C4×Q8×D5C22semidirect
180. #65904C22semidirect
181. #65903C22semidirect
182. #65903C22semidirect
183. #65902C22semidirect
184. #65902C22semidirect
185. #65901C22semidirect
186. #65899C22semidirect
187. #65895C22semidirect
188. #65892C22semidirect
189. #65891C22semidirect
190. #65891C22semidirect
191. #65886C22semidirect
192. #65886C22semidirect
193. #65880C22semidirect
194. #65880C22semidirect
201. #65877C22semidirect
202. #65876C22semidirect
203. #65875C22semidirect
204. #65874C22semidirect
205. #65873C22semidirect
206. #65872C22semidirect
207. #65872C22semidirect
208. #65872C22semidirect
209. D4×Dic10C22semidirect
210. #65868C22semidirect
211. #65867C22semidirect
212. #65865C22semidirect
213. #65864C22semidirect
214. #65863C22semidirect
215. #65862C22semidirect
216. #65862C22semidirect
217. #65862C22semidirect
218. #65857C22semidirect
223. #65852C22semidirect
224. #65850C22semidirect
225. #65850C22semidirect
226. #65848C22semidirect
227. #65847C22semidirect
228. #65845C22semidirect
229. #65845C22semidirect
230. #65838C22semidirect
233. C2×#4033C22semidirect
234. #65813C22semidirect
235. #65813C22semidirect
237. C2×C4×Dic10C22semidirect
637. #3516D5direct (N × H)
895. #557C2×D5semidirect
907. #556C2×D5semidirect
919. #554C2×D5semidirect
931. #553C2×D5semidirect
943. #552C2×D5semidirect
951. D4×Q8C2×D5semidirect
966. #548C2×D5semidirect
967. #548C2×D5semidirect
979. #542C2×D5semidirect
991. #541C2×D5semidirect
1020. #529C2×D5semidirect
1021. #529C2×D5semidirect
1052. #520C2×D5semidirect
1060. #519C2×D5semidirect
1077. C2×C4×Q8C2×D5semidirect
1867. D5#3516direct (N × H)
1971. C5C2×#3516semidirect

Maximal subgroups

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

subgroupindex
C5×#35162
D5×#5572
#106189232
D5×#5562
#106188882
D5×#5542
#106188332
D5×#5532
#106187862
D5×#5522
#106187392
D4×Q8×D52
#106186502
D5×#5482
#106186202
#106186192
#106184562
D5×#5422
#106184132
D5×#5412
D5×#5292
#106180262
#106180252
#106178072
D5×#5202
#106177842
D5×#5192
#106177212
C2×C4×Q8×D52
C2×#35165