Finite Group Databasebeta

← #13007985

Subgroups — #13007985

Order 1280.

7274 conjugacy classes of subgroups.

The subgroup lattice has 2046 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3545C211yesmaximal, characteristic, complemented
2#10619035C212yesmaximal, complemented
3#10619015C212yesmaximal, complemented
4#10619014C212yesmaximal, complemented
5#10618993C212yesmaximal, complemented
6#10618861C214yesmaximal, complemented
7#10618718C214yesmaximal, complemented
8#10618696C214yesmaximal, complemented
9#10618693C214yesmaximal, complemented
10#10618566C214yesmaximal, complemented
11#10618536C214yesmaximal, complemented
12#10618469C214yesmaximal, complemented
13#10618459C214yesmaximal, complemented
14#10618327C214yesmaximal, complemented
15#10618318C214yesmaximal, complemented
16#10618255C212yesmaximal, complemented
17#10618247C212yesmaximal, complemented
18#10618204C212yesmaximal, complemented
19#10618197C212yesmaximal, complemented
20#10618074C212yesmaximal, complemented
21D5×#529C212yesmaximal, complemented
22#10617980C211yesmaximal, characteristic, complemented
23C2×#66002C211yesmaximal, characteristic, complemented
24C2×#4149C2212yescomplemented
25C22×#713C2211yescharacteristic, complemented
26C2×#4144C2212yescomplemented
27C22×#711C2211yescharacteristic, complemented
28C5×#563C2211yescharacteristic, complemented
29C5×#562C2212yescomplemented
30C5×H(3,𝔽4)C2211yescharacteristic, complemented
31C5×#555C2212yescomplemented
32C5×#551C2212yescomplemented
33C5×#551C2214yescomplemented
34C5×#546C2214yescomplemented
35C5×#542C2214yescomplemented
36C5×#538C2214yescomplemented
37C5×#536C2212yescomplemented
38C5×#534C2212yescomplemented
39C5×#529C2212yescomplemented
40C2×C5×#124C2211yescharacteristic, complemented
41#66162C2212yescomplemented
42#66158C2214yescomplemented
43#66150C2212yescomplemented
44C2×#4090C2211yescharacteristic, complemented
45#66138C2212yescomplemented
46C2×#4086C2211yescharacteristic, complemented
47D4×C22⋊D5C2214yescomplemented
48C2×#4081C2212yescomplemented
49#66069C2212yescomplemented
50#66063C2214yescomplemented
51#66060C2214yescomplemented
52#66060C2214yescomplemented
53#66056C2212yescomplemented
54#66044C2214yescomplemented
55#66044C2214yescomplemented
56#66043C2214yescomplemented
57#66043C2214yescomplemented
58#66043C2214yescomplemented
59#66043C2214yescomplemented
60#66041C2214yescomplemented
61#66041C2214yescomplemented
62#66040C2214yescomplemented
63#66040C2214yescomplemented
64#66038C2214yescomplemented
65D5×#126C2214yescomplemented
66#66034C2212yescomplemented
67#66033C2212yescomplemented
68#66025C2212yescomplemented
69D5×#125C2212yescomplemented
70#66018C2212yescomplemented
71#66018C2212yescomplemented
72#66017C2212yescomplemented
73#66017C2211yescharacteristic, complemented
74#66015C2214yescomplemented
75#66014C2212yescomplemented
76#66013C2214yescomplemented
77#66013C2212yescomplemented
78#66012C2214yescomplemented
79#66012C2214yescomplemented
80#66012C2214yescomplemented
81#66011C2214yescomplemented
82#66010C2214yescomplemented
83#66010C2214yescomplemented
84#66010C2214yescomplemented
85D5×#124C2212yescomplemented
86#66006C2211yescharacteristic, complemented
87#66006C2212yescomplemented
88#66004C2212yescomplemented
89#66004C2212yescomplemented
90#66003C2214yescomplemented
91#66003C2214yescomplemented
92#66003C2214yescomplemented
93#66002C2212yescomplemented
94#66002C2214yescomplemented
95#66002C2214yescomplemented
96#66002C2214yescomplemented
97#66002C2212yescomplemented
98#66002C2212yescomplemented
99#66002C2212yescomplemented
100#66000C2212yescomplemented
101#65999C2214yescomplemented
102#65998C2212yescomplemented
103#65998C2214yescomplemented
104#65997C2214yescomplemented
105#65997C2214yescomplemented
106#65995C2214yescomplemented
107#65995C2214yescomplemented
108#65994C2214yescomplemented
109#65992C2214yescomplemented
110#65991C2214yescomplemented
111#65990C2214yescomplemented
112#65989C2214yescomplemented
113#65989C2214yescomplemented
114#65989C2214yescomplemented
115#65989C2214yescomplemented
116#65988C2214yescomplemented
117#65987C2214yescomplemented
118#65987C2214yescomplemented
119#65987C2214yescomplemented
120D5×#123C2214yescomplemented
121D5×#123C2214yescomplemented
122#65984C2214yescomplemented
123#65983C2214yescomplemented
124#65982C2214yescomplemented
125#65980C2214yescomplemented
126#65979C2214yescomplemented
127#65978C2214yescomplemented
128#65974C2214yescomplemented
129#65972C2214yescomplemented
130#65971C2214yescomplemented
131#65970C2214yescomplemented
132#65970C2214yescomplemented
133#65969C2214yescomplemented
134#65967C2214yescomplemented
135#65965C2214yescomplemented
136#65965C2214yescomplemented
137#65965C2214yescomplemented
138#65964C2214yescomplemented
139#65964C2214yescomplemented
140#65963C2214yescomplemented
141D5×C22⋊Q8C2212yescomplemented
142#65958C2212yescomplemented
143#65957C2214yescomplemented
144#65954C2214yescomplemented
145#65949C2214yescomplemented
146#65949C2214yescomplemented
147#65948C2214yescomplemented
148#65947C2214yescomplemented
149#65945C2214yescomplemented
150#65945C2214yescomplemented
151#65944C2214yescomplemented
152#65944C2214yescomplemented
153#65944C2214yescomplemented
154#65944C2214yescomplemented
155#65943C2214yescomplemented
156#65942C2214yescomplemented
157#65941C2214yescomplemented
158D5×#121C2212yes—
159D5×#121C2214yescomplemented
160#65935C2214yescomplemented
161#65934C2212yescomplemented
162#65933C2214yescomplemented
163#65929C2212yescomplemented
164#65927C2214yescomplemented
165#65926C2214yescomplemented
166#65925C2214yescomplemented
167#65925C2214yescomplemented
168#65925C2214yescomplemented
169#65925C2214yescomplemented
170#65924C2214yescomplemented
171#65924C2212yescomplemented
172#65924C2214yescomplemented
173#65923C2214yescomplemented
174#65923C2214yescomplemented
175#65920C2214yescomplemented
176#65916C2214yescomplemented
177#65914C2212yescomplemented
178C4×Q8×D5C2212yescomplemented
179#65899C2214yescomplemented
180#65894C2214yescomplemented
181#65892C2214yescomplemented
182#65891C2212yescomplemented
183#65890C2214yescomplemented
184#65888C2214yescomplemented
185#65884C2214yescomplemented
186#65882C2214yescomplemented
187#65881C2214yescomplemented
188#65880C2214yescomplemented
189#65879C2214yescomplemented
190C4×D4×D5C2214yescomplemented
191C4×D4×D5C2212yescomplemented
192#65874C2214yescomplemented
193#65872C2214yescomplemented
194#65866C2214yescomplemented
195#65865C2214yescomplemented
196#65864C2214yescomplemented
197#65862C2214yescomplemented
198#65862C2214yescomplemented
199#65861C2214yescomplemented
200#65861C2214yescomplemented
201#65858C2212yescomplemented
202#65857C2214yescomplemented
203#65855C2212yescomplemented
204D5×#117C2214yescomplemented
205#65829C2214yescomplemented
206#65829C2214yescomplemented
207C2×#4032C2212yescomplemented
208#65824C2214yescomplemented
209#65824C2214yescomplemented
210#65824C2214yescomplemented
211C2×#4030C2214yescomplemented
212C2×#4030C2214yescomplemented
213#65820C2214yescomplemented
214#65820C2212yescomplemented
215C2×#4027C2214yescomplemented
216#65813C2212yescomplemented
217C2×#4021C2211yescharacteristic, complemented
218C2×C42×D5C2211yescharacteristic, complemented
219#62822—51nomaximal, Sylow
220C2×C5×#41C2312yes—
221C22×C5×Q8C2311yescharacteristic
222C22×C5×D4C2312yes—
223C22×C5×D4C2311yescharacteristic
224C22×C22⋊D5C2312yes—
225C22×C22⋊D5C2314yes—
226C22×C22⋊D5C2314yes—
227C22×C22⋊D5C2314yes—
228C22×C22⋊D5C2312yes—
229C23×Dic5C2312yes—
230#4149—48no—
231C2×#713—44no—
232C2×#713C2314yes—
233C2×#713C2312yes—
234C2×#713C2314yes—
235C2×#713C2312yes—
236C2×Q8×D5C2312yes—
237#4144—48no—
238C2×#711—44no—
239C2×#711C2314yes—
240C2×#711C2314yes—
241C2×#711C2312yes—
242C2×#711C2314yes—
243C2×#711C2314yes—
244C2×#711C2312yes—
245C2×D4×D5C2314yes—
246C2×D4×D5C2312yes—
247C2×D4×D5C2314yes—
248C2×D4×D5C2314yes—
249C2×D4×D5C2314yes—
250C2×D4×D5C2314yes—
251C2×#709C2312yes—
252C2×#709C2314yes—
253C2×#709C2314yes—
254C2×#709C2314yes—
255C22×D20C2312yes—
256C22×D20C2311yescharacteristic
257C22×D20C2314yes—
258C22×C4×D5C2311yescharacteristic
259C22×C4×D5C2312yes—
260C22×C4×D5C2312yes—
261C22×C4×D5C2314yes—
262C22×Dic10C2311yescharacteristic
263C5×C4⋊Q8C2312yes—
264C5×C4⋊Q8C2312yes—
265C5×#126C2314yes—
266C5×#126C2314yes—
267C5×#126C2314yes—
268C5×#125C2312yes—
269C5×#124C2314yes—
270C5×#124C2311yescharacteristic
271C5×#124C2311yescharacteristic
272C5×#124C2311yescharacteristic
273C5×#124C2311yescharacteristic
274C5×#124C2312yes—
275C5×#124C2312yes—
276C5×#124C2312yes—
277C5×#124C2314yes—
278C5×#124C2314yes—
279C5×#123C2314yes—
280C5×#123C2312yes—
281C5×#123C2312yes—
282C5×#123C2314yes—
283C5×#123C2314yes—
284C5×#123C2314yes—
285C5×#123C2314yes—
286C5×C22⋊Q8C2312yes—
287C5×C22⋊Q8C2314yes—
288C5×C22⋊Q8C2314yes—
289C5×C22⋊Q8C2314yes—
290C5×C22⋊Q8C2314yes—
291C5×#121C2314yes—
292C5×#121C2312yes—
293C5×#121C2314yes—
294C5×#121C2314yes—
295C5×#121C2314yes—
296C5×#120C2314yes—
297C5×#120C2314yes—
298C5×#120C2312yes—
299C5×#120C2312yes—
300C4×C5×Q8C2312yes—
301C4×C5×D4C2314yes—
302C4×C5×D4C2314yes—
303C4×C5×D4C2312yes—
304C4×C5×D4C2314yes—
305C5×#117C2314yes—
306C5×#117C2312yes—
307C5×#117C2314yes—
308C2×C5×C22⋊C4C2314yes—
309C2×C5×C22⋊C4C2314yes—
310C2×C5×C22⋊C4C2312yes—
311C2×C42×C5C2311yescharacteristic
312#4099C2314yes—
313#4099C2314yes—
314C2×C22⋊Dic5C2312yes—
315C2×C22⋊Dic5C2314yes—
316#4093C2312yes—
317#4093C2312yes—
318#4093C2312yes—
319#4093C2314yes—
320#4092C2314yes—
321#4092C2314yes—
322#4092C2314yes—
323#4092C2314yes—
324#4092C2312yes—
325#4092C2314yes—
326Q8×Dic5C2312yes—
327#4090C2314yes—
328#4090C2312yes—
329#4090C2312yes—
330#4090C2312yes—
331#4090C2312yes—
332#4090C2312yes—
333#4090C2312yes—
334#4086C2314yes—
335#4086C2312yes—
336#4086C2312yes—
337#4086C2312yes—
338#4086C2312yes—
339#4086C2314yes—
340#4085C2314yes—
341#4085C2314yes—
342#4085C2314yes—
343#4085C2314yes—
344#4085C2314yes—
345#4085C2314yes—
346#4085C2314yes—
347#4085C2314yes—
348#4085C2314yes—
349#4085C2314yes—
350#4085C2314yes—
351#4084C2314yes—
352#4084C2314yes—
353#4084C2312yes—
354#4084C2314yes—
355#4084C2314yes—
356#4084C2314yes—
357#4083C2314yes—
358#4083C2314yes—
359#4083C2314yes—
360#4083C2312yes—
361#4083C2312yes—
362#4083C2314yes—
363#4083C2314yes—
364#4083C2314yes—
365#4082C2312yes—
366#4081C2314yes—
367#4081C2314yes—
368#4081C2314yes—
369#4081C2314yes—
370#4081C2312yes—
371#4081C2312yes—
372#4081C2314yes—
373D4×Dic5C2314yes—
374D4×Dic5C2312yes—
375D4×Dic5C2314yes—
376D4×Dic5C2314yes—
377#4076C2312yes—
378#4076C2314yes—
379#4076C2314yes—
380#4076C2314yes—
381#4075C2314yes—
382#4075C2314yes—
383#4075C2314yes—
384#4075C2314yes—
385#4075C2314yes—
386C4×C22⋊D5C2314yes—
387C4×C22⋊D5C2314yes—
388C4×C22⋊D5C2314yes—
389C4×C22⋊D5C2314yes—
390C4×C22⋊D5C2314yes—
391C4×C22⋊D5C2314yes—
392C4×C22⋊D5C2314yes—
393C4×C22⋊D5C2314yes—
394C4×C22⋊D5C2314yes—
395C4×C22⋊D5C2314yes—
396C4×C22⋊D5C2314yes—
397C2×#685C2314yes—
398C2×#685C2314yes—
399C2×#685C2314yes—
400#4072C2312yes—
401#4072C2314yes—
402C2×C4⋊Dic5C2314yes—
403#4070C2312yes—
404#4070C2314yes—
405C2×#683C2314yes—
406C2×#683C2314yes—
407C2×#683C2314yes—
408C2×C4×Dic5C2312yes—
409C2×C4×Dic5C2311yescharacteristic
410#4044C2314yes—
411#4044C2314yes—
412#4044C2314yes—
413#4044C2314yes—
414#4044C2314yes—
415#4044C2314yes—
416#4044C2314yes—
417#4043C2314yes—
418#4043C2314yes—
419#4043C2312yes—
420#4042C2314yes—
421#4042C2314yes—
422#4042C2314yes—
423#4042C2314yes—
424#4042C2314yes—
425#4042C2314yes—
426#4042C2314yes—
427#4041C2314yes—
428#4041C2314yes—
429#4041C2314yes—
430#4041C2314yes—
431#4041C2314yes—
432#4041C2314yes—
433#4041C2312yes—
434#4040C2314yes—
435#4040C2314yes—
436#4040C2314yes—
437#4040C2314yes—
438#4040C2314yes—
439#4040C2314yes—
440#4040C2314yes—
441#4040C2314yes—
442#4040C2314yes—
443#4040C2314yes—
444#4040C2314yes—
445#4040C2314yes—
446#4039C2314yes—
447#4039C2314yes—
448#4039C2314yes—
449#4039C2314yes—
450#4039C2312yes—
451#4038C2314yes—
452#4038C2314yes—
453#4038C2314yes—
454D5×C4⋊C4C2314yes—
455D5×C4⋊C4C2314yes—
456D5×C4⋊C4C2314yes—
457D5×C4⋊C4C2314yes—
458D5×C4⋊C4C2314yes—
459D5×C4⋊C4C2314yes—
460D5×C4⋊C4C2314yes—
461D5×C4⋊C4C2312yes—
462D5×C4⋊C4C2312yes—
463#4036C2314yes—
464#4036C2312yes—
465#4036C2312yes—
466#4035C2314yes—
467#4035C2314yes—
468#4035C2314yes—
469#4035C2314yes—
470#4035C2314yes—
471#4035C2314yes—
472#4034C2314yes—
473#4034C2314yes—
474#4034C2314yes—
475#4033C2314yes—
476#4033C2314yes—
477#4033C2312yes—
478#4032C2314yes—
479#4032C2314yes—
480#4032C2314yes—
481#4032C2314yes—
482#4032C2314yes—
483#4032C2314yes—
484#4032C2314yes—
485#4031C2314yes—
486#4031C2314yes—
487#4031C2314yes—
488#4031C2314yes—
489#4031C2314yes—
490#4031C2314yes—
491#4031C2314yes—
492#4031C2314yes—
493#4031C2314yes—
494#4031C2314yes—
495#4030C2314yes—
496#4030C2314yes—
497#4030C2314yes—
498#4030C2314yes—
499#4030C2314yes—
500#4030C2314yes—
501#4030C2314yes—
502#4030C2314yes—
503#4030C2314yes—
504#4030C2314yes—
505#4030C2314yes—
506#4030C2314yes—
507#4030C2314yes—
508#4030C2314yes—
509#4030C2314yes—
510#4030C2314yes—
511#4030C2314yes—
512#4030C2314yes—
513#4030C2314yes—
514#4030C2314yes—
515#4030C2314yes—
516#4030C2314yes—
517#4030C2314yes—
518#4029C2314yes—
519#4029C2314yes—
520#4029C2314yes—
521#4029C2314yes—
522#4029C2314yes—
523#4029C2314yes—
524#4029C2314yes—
525#4029C2314yes—
526#4029C2314yes—
527#4029C2314yes—
528#4029C2314yes—
529#4029C2314yes—
530#4028C2314yes—
531#4028C2314yes—
532#4028C2314yes—
533#4028C2314yes—
534#4028C2314yes—
535#4028C2314yes—
536#4028C2314yes—
537#4028C2314yes—
538#4027C2314yes—
539#4027C2314yes—
540#4027C2314yes—
541#4027C2314yes—
542#4027C2314yes—
543#4027C2314yes—
544#4027C2314yes—
545#4027C2314yes—
546#4027C2314yes—
547#4027C2314yes—
548#4027C2314yes—
549#4027C2314yes—
550#4027C2314yes—
551#4027C2314yes—
552#4027C2314yes—
553#4027C2314yes—
554#4027C2314yes—
555#4027C2314yes—
556#4027C2314yes—
557#4027C2314yes—
558#4027C2314yes—
559D5×C22⋊C4C2314yes—
560D5×C22⋊C4C2314yes—
561D5×C22⋊C4C2314yes—
562D5×C22⋊C4C2314yes—
563D5×C22⋊C4C2314yes—
564D5×C22⋊C4C2314yes—
565D5×C22⋊C4C2314yes—
566D5×C22⋊C4C2314yes—
567D5×C22⋊C4C2314yes—
568D5×C22⋊C4C2314yes—
569#4025C2314yes—
570#4025C2314yes—
571#4025C2314yes—
572#4025C2314yes—
573#4025C2314yes—
574#4025C2314yes—
575#4025C2314yes—
576#4024C2314yes—
577#4024C2314yes—
578#4024C2314yes—
579#4024C2314yes—
580#4024C2314yes—
581#4024C2314yes—
582#4024C2314yes—
583#4024C2314yes—
584#4024C2314yes—
585#4023C2314yes—
586#4023C2314yes—
587#4023C2314yes—
588#4023C2314yes—
589#4023C2314yes—
590#4022C2314yes—
591#4022C2314yes—
592#4022C2314yes—
593#4021C2312yes—
594#4021C2314yes—
595#4021C2312yes—
596#4021C2312yes—
597#4021C2314yes—
598C4×D20C2314yes—
599C4×D20C2314yes—
600C4×D20C2314yes—
601C4×D20C2314yes—
602C4×D20C2312yes—
603C4×D20C2314yes—
604C4×D20C2314yes—
605#4018C2314yes—
606#4018C2314yes—
607#4018C2314yes—
608#4018C2314yes—
609C42×D5C2312yes—
610C42×D5C2312yes—
611C42×D5C2312yes—
612C42×D5C2312yes—
613C42×D5C2314yes—
614#4016C2314yes—
615#4016C2312yes—
616C4×Dic10C2314yes—
617C4×Dic10C2312yes—
618C4×Dic10C2314yes—
619#3560—54no—
620#3560—54no—
621#3559—52no—
622#3559—52no—
623#3558—52no—
624#3558—52no—
625#3545—52no—
626#3545—51no—
627#3545D511yescharacteristic, complemented
628#3544—52no—
629#3543—52no—
630#3522—54no—
631#3519—54no—
632#3513—54no—
633#3513—54no—
634#3505—54no—
635#3496—54no—
636#3494—54no—
637#3494—54no—
638#3485—52no—
639#3485—52no—
640C2×#532—51no—
641C2×#529—52no—
642C24×C5C2412yes—
643C24×C5C2412yes—
644C23×D5C2412yes—
645C23×D5C2414yes—
646C23×D5C2414yes—
647C23×D5C2412yes—
648C23×D5C2411yescharacteristic
649C5×#41—44no—
650C2×C5×Q8—42no—
651C2×C5×Q8C2412yes—
652C2×C5×Q8C2411yescharacteristic
653C2×C5×Q8C2412yes—
654C2×C5×Q8C2412yes—
655C2×C5×Q8C2411yescharacteristic
656C2×C5×D4—42no—
657C2×C5×D4—44no—
658C2×C5×D4C2414yes—
659C2×C5×D4C2414yes—
660C2×C5×D4C2414yes—
661C2×C5×D4C2412yes—
662C2×C5×D4C2412yes—
663C2×C5×D4C2411yescharacteristic
664C2×C5×D4C2412yes—
665C2×C5×D4C2414yes—
666C2×C5×D4C2411yescharacteristic
667C22×C4×C5C2411yescharacteristic
668C22×C4×C5C2412yes—
669C22×C4×C5C2412yes—
670C22×C4×C5C2414yes—
671C22×C4×C5C2414yes—
672C22×C4×C5C2414yes—
673C22×C4×C5C2412yes—
674C2×C22⋊D5—28no—
675C2×C22⋊D5—48no—
676C2×C22⋊D5—48no—
677C2×C22⋊D5—48no—
678C2×C22⋊D5—44no—
679C2×C22⋊D5C2414yes—
680C2×C22⋊D5C2414yes—
681C2×C22⋊D5C2414yes—
682C2×C22⋊D5C2414yes—
683C2×C22⋊D5C2414yes—
684C2×C22⋊D5C2414yes—
685C2×C22⋊D5C2414yes—
686C2×C22⋊D5C2414yes—
687C2×C22⋊D5C2414yes—
688C2×C22⋊D5C2414yes—
689C2×C22⋊D5C2414yes—
690C2×C22⋊D5C2414yes—
691C2×C22⋊D5C2414yes—
692C2×C22⋊D5C2414yes—
693C2×C22⋊D5C2414yes—
694C2×C22⋊D5C2414yes—
695C22×Dic5—44no—
696C22×Dic5C2412yes—
697C22×Dic5C2411yescharacteristic
698C22×Dic5C2414yes—
699C22×Dic5C2412yes—
700C22×Dic5C2414yes—
701C22×Dic5C2414yes—
702C22×Dic5C2414yes—
703C22×Dic5C2414yes—
704C22×Dic5C2412yes—
705#713—44no—
706#713—48no—
707#713—44no—
708#713—48no—
709Q8×D5—44no—
710#711—48no—
711#711—44no—
712#711—48no—
713#711—44no—
714#711—48no—
715#711—48no—
716D4×D5—216no—
717D4×D5—48no—
718D4×D5—44no—
719D4×D5—48no—
720D4×D5—48no—
721D4×D5—48no—
722#709—48no—
723#709—48no—
724#709—48no—
725#709—44no—
726C2×D20—28no—
727C2×D20—48no—
728C2×D20—42no—
729C2×D20C2414yes—
730C2×D20C2414yes—
731C2×D20C2414yes—
732C2×D20C2412yes—
733C2×D20C2414yes—
734C2×D20C2412yes—
735C2×D20C2412yes—
736C2×D20C2414yes—
737C2×D20C2412yes—
738C2×D20C2414yes—
739C2×C4×D5—24no—
740C2×C4×D5—48no—
741C2×C4×D5—44no—
742C2×C4×D5—44no—
743C2×C4×D5C2412yes—
744C2×C4×D5C2414yes—
745C2×C4×D5C2412yes—
746C2×C4×D5C2412yes—
747C2×C4×D5C2412yes—
748C2×C4×D5C2414yes—
749C2×C4×D5C2414yes—
750C2×C4×D5C2414yes—
751C2×C4×D5C2412yes—
752C2×C4×D5C2412yes—
753C2×C4×D5C2414yes—
754C2×C4×D5C2414yes—
755C2×C4×D5C2414yes—
756C2×C4×D5C2414yes—
757C2×C4×D5C2414yes—
758C2×C4×D5C2414yes—
759C2×C4×D5C2414yes—
760C2×C4×D5C2414yes—
761C2×Dic10—42no—
762C2×Dic10C2414yes—
763C2×Dic10C2412yes—
764C2×Dic10C2412yes—
765C2×Dic10C2412yes—
766C2×Dic10C2414yes—
767C2×Dic10C2412yes—
768C5×C4⋊C4C2414yes—
769C5×C4⋊C4C2414yes—
770C5×C4⋊C4C2414yes—
771C5×C4⋊C4C2414yes—
772C5×C4⋊C4C2414yes—
773C5×C4⋊C4C2414yes—
774C5×C4⋊C4C2412yes—
775C5×C4⋊C4C2412yes—
776C5×C4⋊C4C2414yes—
777C5×C22⋊C4C2414yes—
778C5×C22⋊C4C2414yes—
779C5×C22⋊C4C2414yes—
780C5×C22⋊C4C2414yes—
781C5×C22⋊C4C2414yes—
782C5×C22⋊C4C2414yes—
783C5×C22⋊C4C2412yes—
784C5×C22⋊C4C2412yes—
785C5×C22⋊C4C2414yes—
786C5×C22⋊C4C2414yes—
787C5×C22⋊C4C2414yes—
788C5×C22⋊C4C2414yes—
789C5×C22⋊C4C2414yes—
790C5×C22⋊C4C2414yes—
791C5×C22⋊C4C2414yes—
792C42×C5C2411yescharacteristic
793C42×C5C2412yes—
794C42×C5C2411yescharacteristic
795C42×C5C2412yes—
796C42×C5C2414yes—
797C42×C5C2412yes—
798C22⋊Dic5C2414yes—
799C22⋊Dic5C2414yes—
800C22⋊Dic5C2414yes—
801C22⋊Dic5C2414yes—
802C22⋊Dic5C2414yes—
803C22⋊Dic5C2412yes—
804C22⋊Dic5C2412yes—
805C22⋊Dic5C2414yes—
806C22⋊Dic5C2414yes—
807C22⋊Dic5C2414yes—
808C22⋊Dic5C2414yes—
809#685C2414yes—
810#685C2414yes—
811#685C2414yes—
812#685C2414yes—
813#685C2414yes—
814#685C2414yes—
815#685C2414yes—
816#685C2414yes—
817#685C2414yes—
818#685C2414yes—
819#685C2414yes—
820#685C2414yes—
821#685C2414yes—
822#685C2414yes—
823#685C2414yes—
824#685C2414yes—
825#685C2414yes—
826#685C2414yes—
827#685C2414yes—
828#685C2414yes—
829#685C2414yes—
830#685C2414yes—
831#685C2414yes—
832#685C2414yes—
833C4⋊Dic5C2412yes—
834C4⋊Dic5C2414yes—
835C4⋊Dic5C2414yes—
836C4⋊Dic5C2412yes—
837C4⋊Dic5C2414yes—
838C4⋊Dic5C2414yes—
839C4⋊Dic5C2414yes—
840C4⋊Dic5C2414yes—
841C4⋊Dic5C2414yes—
842#683C2414yes—
843#683C2414yes—
844#683C2414yes—
845#683C2414yes—
846#683C2414yes—
847#683C2414yes—
848#683C2414yes—
849#683C2414yes—
850#683C2414yes—
851#683C2414yes—
852#683C2414yes—
853#683C2414yes—
854#683C2414yes—
855#683C2414yes—
856#683C2414yes—
857#683C2414yes—
858#683C2414yes—
859#683C2414yes—
860#683C2414yes—
861#683C2414yes—
862C4×Dic5C2412yes—
863C4×Dic5C2414yes—
864C4×Dic5C2414yes—
865C4×Dic5C2414yes—
866C4×Dic5C2412yes—
867C4×Dic5C2412yes—
868C4×Dic5C2411yescharacteristic
869C4×Dic5C2412yes—
870C4×Dic5C2412yes—
871C4×Dic5C2411yescharacteristic
872C4×Dic5C2414yes—
873C4×Dic5C2414yes—
874C4×Dic5C2412yes—
875C4×Dic5C2412yes—
876C2×H(5,𝔽2)—52no—
877C2×H(5,𝔽2)—52no—
878C22×#41—51no—
879C22×#41—51no—
880#563—52no—
881#563—52no—
882#563—52no—
883#563—51no—
884#563—54no—
885#563C2×D511yescharacteristic, complemented
886#562—52no—
887#562—52no—
888#562—52no—
889#562C2×D512yescomplemented
890H(3,𝔽4)—51no—
891H(3,𝔽4)—52no—
892H(3,𝔽4)C2×D511yescharacteristic, complemented
893#560—52no—
894#560—54no—
895#560—52no—
896#559—54no—
897#559—54no—
898#559—52no—
899Q82—52no—
900#555—52no—
901#555—52no—
902#555—54no—
903#555C2×D512yescomplemented
904#554—54no—
905#554—54no—
906#554—54no—
907#553—54no—
908#553—54no—
909#553—54no—
910#553—54no—
911#553—54no—
912#553—54no—
913#553—54no—
914#553—54no—
915#553—54no—
916#553—54no—
917#553—54no—
918#553—54no—
919#552—54no—
920#552—54no—
921#551—52no—
922#551—54no—
923#551—54no—
924#551—54no—
925#551—54no—
926#551—54no—
927#551—54no—
928#551—54no—
929#551—54no—
930#551C2×D512yescomplemented
931#551C2×D514yescomplemented
932#550—54no—
933#548—54no—
934#548—54no—
935#547—54no—
936#547—54no—
937#547—54no—
938#547—54no—
939#547—54no—
940#547—54no—
941#547—54no—
942#547—54no—
943#547—54no—
944#547—54no—
945#547—54no—
946#547—54no—
947#546—54no—
948#546—54no—
949#546—54no—
950#546—54no—
951#546—54no—
952#546—54no—
953#546—54no—
954#546—54no—
955#546—54no—
956#546—54no—
957#546—54no—
958#546—54no—
959#546—54no—
960#546—54no—
961#546—54no—
962#546—54no—
963#546—54no—
964#546—54no—
965#546—54no—
966#546C2×D514yescomplemented
967D42—54no—
968D42—54no—
969D42—54no—
970D42—54no—
971D42—52no—
972#544—54no—
973#544—54no—
974#542—54no—
975#542—54no—
976#542—54no—
977#542—54no—
978#542—54no—
979#542—54no—
980#542—54no—
981#542C2×D514yescomplemented
982#540—54no—
983#540—54no—
984#540—54no—
985#540—54no—
986#539—54no—
987#539—54no—
988#539—54no—
989#539—54no—
990#539—54no—
991#539—54no—
992#538—54no—
993#538—54no—
994#538—54no—
995#538—54no—
996#538—54no—
997#538—54no—
998#538—54no—
999#538—54no—
1000#538—54no—
1001#538C2×D514yescomplemented
1002#537—54no—
1003#537—54no—
1004#536—52no—
1005#536—54no—
1006#536C2×D512yescomplemented
1007#535—54no—
1008#535—54no—
1009#534—52no—
1010#534—54no—
1011#534—54no—
1012#534—54no—
1013#534—54no—
1014#534—54no—
1015#534C2×D512yescomplemented
1016#532—52no—
1017#532—52no—
1018#532—54no—
1019#532—52no—
1020#532—52no—
1021#532—54no—
1022#532—54no—
1023#532—54no—
1024C2×C4⋊Q8—51no—
1025C2×#127—51no—
1026#529—54no—
1027#529—54no—
1028#529—52no—
1029#529—52no—
1030#529—54no—
1031#529—52no—
1032#529—52no—
1033#529—52no—
1034#529—54no—
1035#529—52no—
1036#529—54no—
1037#529—54no—
1038#529—52no—
1039#529C2×D512yescomplemented
1040C2×#126—54no—
1041C2×#125—52no—
1042C2×#124—52no—
1043C2×#124—51no—
1044C2×#124C2×D511yescharacteristic, complemented
1045#525—52no—
1046#525—54no—
1047#525—54no—
1048#525—54no—
1049#525—52no—
1050C2×#123—52no—
1051C2×#123—54no—
1052C2×#123—54no—
1053C2×#123—52no—
1054C2×C22⋊Q8—52no—
1055C2×#121—52no—
1056C2×#121—54no—
1057C2×#121—54no—
1058C2×#121—54no—
1059#520—54no—
1060#520—54no—
1061#518—54no—
1062#518—52no—
1063#518—52no—
1064#518—54no—
1065C2×C4×Q8—52no—
1066C2×C4×D4—54no—
1067C2×C4×D4—52no—
1068C2×C4×D4—54no—
1069C2×#117—54no—
1070C22×C42—51no—
1071C23×C5—24no—
1072C23×C5—44no—
1073C23×C5—42no—
1074C23×C5—44no—
1075C23×C5C2514yes—
1076C23×C5C2512yes—
1077C23×C5C2512yes—
1078C23×C5C2511yescharacteristic
1079C22×D5—24no—
1080C22×D5—28no—
1081C22×D5—42no—
1082C22×D5—44no—
1083C22×D5—44no—
1084C22×D5—44no—
1085C22×D5—44no—
1086C22×D5—42no—
1087C22×D5—44no—
1088C22×D5—44no—
1089C22×D5—44no—
1090C22×D5H(5,𝔽2)14yes—
1091C22×D5C2514yes—
1092C22×D5C2514yes—
1093C22×D5C2512yes—
1094C5×Q8—42no—
1095C5×Q8—41no—
1096C5×Q8—42no—
1097C5×Q8—41no—
1098C5×Q8—42no—
1099C5×D4—28no—
1100C5×D4—42no—
1101C5×D4—44no—
1102C5×D4—42no—
1103C5×D4—44no—
1104C5×D4—41no—
1105C5×D4—42no—
1106C5×D4—41no—
1107C5×D4—44no—
1108C2×C4×C5—22no—
1109C2×C4×C5—24no—
1110C2×C4×C5—42no—
1111C2×C4×C5—44no—
1112C2×C4×C5—44no—
1113C2×C4×C5—42no—
1114C2×C4×C5—44no—
1115C2×C4×C5C2512yes—
1116C2×C4×C5C2512yes—
1117C2×C4×C5C2511yescharacteristic
1118C2×C4×C5C2511yescharacteristic
1119C2×C4×C5C2514yes—
1120C2×C4×C5C2512yes—
1121C2×C4×C5C2514yes—
1122C2×C4×C5C2514yes—
1123C2×C4×C5C2512yes—
1124C22⋊D5—28no—
1125C22⋊D5—28no—
1126C22⋊D5—28no—
1127C22⋊D5—28no—
1128C22⋊D5—28no—
1129C22⋊D5—28no—
1130C22⋊D5—28no—
1131C22⋊D5—44no—
1132C22⋊D5—44no—
1133C22⋊D5—44no—
1134C22⋊D5—44no—
1135C22⋊D5—44no—
1136C22⋊D5—44no—
1137C22⋊D5—44no—
1138C22⋊D5—44no—
1139C22⋊D5—44no—
1140C2×Dic5—24no—
1141C2×Dic5—22no—
1142C2×Dic5—28no—
1143C2×Dic5—24no—
1144C2×Dic5—44no—
1145C2×Dic5—44no—
1146C2×Dic5—44no—
1147C2×Dic5—42no—
1148C2×Dic5—44no—
1149C2×Dic5C2512yes—
1150C2×Dic5C2514yes—
1151C2×Dic5C2512yes—
1152C2×Dic5C2514yes—
1153C2×Dic5C2514yes—
1154C2×Dic5C2514yes—
1155C2×Dic5C2512yes—
1156D20—28no—
1157D20—28no—
1158D20—28no—
1159D20—42no—
1160D20—44no—
1161D20—42no—
1162D20—42no—
1163D20—44no—
1164D20—42no—
1165D20—44no—
1166C4×D5—24no—
1167C4×D5—24no—
1168C4×D5—28no—
1169C4×D5—24no—
1170C4×D5—28no—
1171C4×D5—24no—
1172C4×D5—44no—
1173C4×D5—44no—
1174C4×D5—42no—
1175C4×D5—42no—
1176C4×D5—44no—
1177C4×D5—44no—
1178C4×D5—44no—
1179C4×D5—44no—
1180C4×D5—44no—
1181C4×D5—44no—
1182C4×D5—44no—
1183C4×D5—44no—
1184Dic10—28no—
1185Dic10—42no—
1186Dic10—42no—
1187Dic10—42no—
1188Dic10—44no—
1189Dic10—42no—
1190H(5,𝔽2)—208no—
1191H(5,𝔽2)—208no—
1192C2×#41—52no—
1193C2×#41—54no—
1194C2×#41—52no—
1195C2×#41—54no—
1196C2×#41—54no—
1197C2×#41—54no—
1198C2×#41—52no—
1199C2×#41—54no—
1200C2×#41—52no—
1201C2×#41—54no—
1202C2×#41—54no—
1203C2×#41—52no—
1204C2×#41—54no—
1205C2×#41—54no—
1206C2×#41—204no—
1207C2×#41—204no—
1208C2×#41C22×D512yes—
1209C22×Q8—52no—
1210C22×Q8—51no—
1211C22×Q8C22×D511yescharacteristic
1212C22×D4—52no—
1213C22×D4—54no—
1214C22×D4—54no—
1215C22×D4—54no—
1216C22×D4—52no—
1217C22×D4—54no—
1218C22×D4—52no—
1219C22×D4—54no—
1220C22×D4—54no—
1221C22×D4—54no—
1222C22×D4—54no—
1223C22×D4—52no—
1224C22×D4—54no—
1225C22×D4—51no—
1226C22×D4C22×D512yes—
1227C22×D4C22×D511yescharacteristic
1228C23×C4—52no—
1229C23×C4—51no—
1230C23×C4—54no—
1231C23×C4—52no—
1232C23×C4—52no—
1233C4⋊Q8—52no—
1234C4⋊Q8—52no—
1235C4⋊Q8—52no—
1236C4⋊Q8—52no—
1237C4⋊Q8—54no—
1238C4⋊Q8—52no—
1239C4⋊Q8—52no—
1240C4⋊Q8—54no—
1241C4⋊Q8—54no—
1242C4⋊Q8—54no—
1243C4⋊Q8C22×D512yes—
1244C4⋊Q8C22×D512yes—
1245#127—52no—
1246#127—52no—
1247#127—52no—
1248#127—52no—
1249#127—54no—
1250#127—54no—
1251#126—54no—
1252#126—54no—
1253#126—54no—
1254#126—54no—
1255#126—54no—
1256#126—54no—
1257#126—54no—
1258#126—54no—
1259#126—54no—
1260#126—54no—
1261#126—54no—
1262#126—54no—
1263#126—54no—
1264#126—54no—
1265#126—54no—
1266#126—54no—
1267#126—54no—
1268#126C22×D514yes—
1269#126C22×D514yes—
1270#126C22×D514yes—
1271#125—52no—
1272#125—52no—
1273#125—54no—
1274#125—54no—
1275#125—54no—
1276#125—54no—
1277#125—54no—
1278#125—54no—
1279#125—54no—
1280#125—52no—
1281#125—54no—
1282#125C22×D512yes—
1283#124—52no—
1284#124—52no—
1285#124—52no—
1286#124—54no—
1287#124—52no—
1288#124—54no—
1289#124—54no—
1290#124—54no—
1291#124—54no—
1292#124—54no—
1293#124—54no—
1294#124—54no—
1295#124—54no—
1296#124—54no—
1297#124—54no—
1298#124—52no—
1299#124—54no—
1300#124—52no—
1301#124—52no—
1302#124—54no—
1303#124C22×D512yes—
1304#124C22×D514yes—
1305#124C22×D511yescharacteristic
1306#124C22×D511yescharacteristic
1307#124C22×D511yescharacteristic
1308#124C22×D511yescharacteristic
1309#124C22×D514yes—
1310#124C22×D512yes—
1311#124C22×D512yes—
1312#124C22×D514yes—
1313#123—54no—
1314#123—54no—
1315#123—54no—
1316#123—54no—
1317#123—54no—
1318#123—52no—
1319#123—52no—
1320#123—54no—
1321#123—54no—
1322#123—54no—
1323#123—54no—
1324#123—54no—
1325#123—54no—
1326#123—54no—
1327#123—54no—
1328#123—54no—
1329#123—54no—
1330#123—54no—
1331#123—54no—
1332#123—54no—
1333#123—54no—
1334#123—54no—
1335#123—54no—
1336#123—54no—
1337#123—54no—
1338#123—54no—
1339#123—54no—
1340#123—54no—
1341#123—54no—
1342#123—54no—
1343#123—54no—
1344#123—54no—
1345#123—54no—
1346#123—54no—
1347#123—54no—
1348#123—54no—
1349#123—54no—
1350#123—54no—
1351#123—54no—
1352#123—54no—
1353#123—54no—
1354#123—54no—
1355#123—54no—
1356#123C22×D514yes—
1357#123C22×D514yes—
1358#123C22×D514yes—
1359#123C22×D514yes—
1360#123C22×D512yes—
1361#123C22×D512yes—
1362#123C22×D514yes—
1363C22⋊Q8—52no—
1364C22⋊Q8—54no—
1365C22⋊Q8—54no—
1366C22⋊Q8—54no—
1367C22⋊Q8—54no—
1368C22⋊Q8—54no—
1369C22⋊Q8—52no—
1370C22⋊Q8—54no—
1371C22⋊Q8—54no—
1372C22⋊Q8—52no—
1373C22⋊Q8—54no—
1374C22⋊Q8—54no—
1375C22⋊Q8—54no—
1376C22⋊Q8—54no—
1377C22⋊Q8—54no—
1378C22⋊Q8—54no—
1379C22⋊Q8—54no—
1380C22⋊Q8—54no—
1381C22⋊Q8—54no—
1382C22⋊Q8—54no—
1383C22⋊Q8—54no—
1384C22⋊Q8—54no—
1385C22⋊Q8—54no—
1386C22⋊Q8—54no—
1387C22⋊Q8—54no—
1388C22⋊Q8—54no—
1389C22⋊Q8—54no—
1390C22⋊Q8C22×D512yes—
1391C22⋊Q8C22×D514yes—
1392C22⋊Q8C22×D514yes—
1393C22⋊Q8C22×D514yes—
1394C22⋊Q8C22×D514yes—
1395#121—52no—
1396#121—54no—
1397#121—54no—
1398#121—54no—
1399#121—54no—
1400#121—54no—
1401#121—54no—
1402#121—54no—
1403#121—54no—
1404#121—54no—
1405#121—54no—
1406#121—54no—
1407#121—54no—
1408#121—54no—
1409#121—54no—
1410#121—54no—
1411#121—54no—
1412#121—52no—
1413#121—54no—
1414#121—54no—
1415#121—54no—
1416#121—52no—
1417#121—54no—
1418#121—54no—
1419#121—54no—
1420#121—54no—
1421#121—54no—
1422#121—54no—
1423#121—54no—
1424#121—54no—
1425#121—54no—
1426#121—54no—
1427#121—54no—
1428#121—54no—
1429#121—54no—
1430#121—54no—
1431#121—54no—
1432#121—54no—
1433#121—54no—
1434#121—54no—
1435#121—54no—
1436#121—54no—
1437#121—54no—
1438#121—54no—
1439#121—54no—
1440#121—54no—
1441#121—54no—
1442#121—54no—
1443#121—54no—
1444#121—54no—
1445#121—54no—
1446#121C22×D512yes—
1447#121C22×D514yes—
1448#121C22×D514yes—
1449#121C22×D514yes—
1450#121C22×D514yes—
1451#120—54no—
1452#120—54no—
1453#120—54no—
1454#120—54no—
1455#120—54no—
1456#120—52no—
1457#120—54no—
1458#120—54no—
1459#120—52no—
1460#120—54no—
1461#120—54no—
1462#120—54no—
1463#120—54no—
1464#120—54no—
1465#120—54no—
1466#120—54no—
1467#120—54no—
1468#120—54no—
1469#120C22×D514yes—
1470#120C22×D514yes—
1471#120C22×D512yes—
1472#120C22×D512yes—
1473C4×Q8—52no—
1474C4×Q8—54no—
1475C4×Q8—52no—
1476C4×Q8—54no—
1477C4×Q8—54no—
1478C4×Q8—52no—
1479C4×Q8—54no—
1480C4×Q8C22×D512yes—
1481C4×D4—54no—
1482C4×D4—52no—
1483C4×D4—54no—
1484C4×D4—54no—
1485C4×D4—54no—
1486C4×D4—54no—
1487C4×D4—54no—
1488C4×D4—54no—
1489C4×D4—54no—
1490C4×D4—54no—
1491C4×D4—54no—
1492C4×D4—54no—
1493C4×D4—54no—
1494C4×D4—54no—
1495C4×D4—54no—
1496C4×D4—54no—
1497C4×D4—52no—
1498C4×D4—54no—
1499C4×D4—54no—
1500C4×D4—54no—
1501C4×D4—54no—
1502C4×D4—54no—
1503C4×D4—54no—
1504C4×D4—54no—
1505C4×D4—54no—
1506C4×D4—54no—
1507C4×D4—54no—
1508C4×D4—54no—
1509C4×D4—54no—
1510C4×D4—54no—
1511C4×D4—54no—
1512C4×D4—54no—
1513C4×D4—54no—
1514C4×D4—54no—
1515C4×D4—54no—
1516C4×D4—54no—
1517C4×D4—54no—
1518C4×D4—54no—
1519C4×D4—54no—
1520C4×D4—54no—
1521C4×D4—54no—
1522C4×D4—52no—
1523C4×D4—54no—
1524C4×D4—54no—
1525C4×D4—54no—
1526C4×D4—54no—
1527C4×D4—54no—
1528C4×D4—54no—
1529C4×D4C22×D512yes—
1530C4×D4C22×D514yes—
1531C4×D4C22×D514yes—
1532C4×D4C22×D514yes—
1533#117—54no—
1534#117—52no—
1535#117—54no—
1536#117—54no—
1537#117—54no—
1538#117—54no—
1539#117—54no—
1540#117—54no—
1541#117—54no—
1542#117—54no—
1543#117—54no—
1544#117—54no—
1545#117—54no—
1546#117—54no—
1547#117C22×D514yes—
1548#117C22×D512yes—
1549#117C22×D514yes—
1550C2×C4⋊C4—54no—
1551C2×C4⋊C4—54no—
1552C2×C4⋊C4—54no—
1553C2×C4⋊C4—54no—
1554C2×C4⋊C4—54no—
1555C2×C4⋊C4—54no—
1556C2×C4⋊C4—52no—
1557C2×C4⋊C4—54no—
1558C2×C4⋊C4—52no—
1559C2×C4⋊C4—54no—
1560C2×C4⋊C4—54no—
1561C2×C4⋊C4—54no—
1562C2×C4⋊C4—54no—
1563C2×C22⋊C4—52no—
1564C2×C22⋊C4—54no—
1565C2×C22⋊C4—54no—
1566C2×C22⋊C4—54no—
1567C2×C22⋊C4—54no—
1568C2×C22⋊C4—54no—
1569C2×C22⋊C4—54no—
1570C2×C22⋊C4—54no—
1571C2×C22⋊C4—54no—
1572C2×C22⋊C4—54no—
1573C2×C22⋊C4—54no—
1574C2×C22⋊C4—54no—
1575C2×C22⋊C4—54no—
1576C2×C22⋊C4—54no—
1577C2×C22⋊C4—54no—
1578C2×C22⋊C4C22×D514yes—
1579C2×C22⋊C4C22×D514yes—
1580C2×C22⋊C4C22×D512yes—
1581C2×C42—52no—
1582C2×C42—51no—
1583C2×C42—52no—
1584C2×C42—54no—
1585C2×C42—52no—
1586C2×C42—52no—
1587C2×C42—52no—
1588C2×C42C22×D511yescharacteristic
1589C22×C5—22no—
1590C22×C5—22no—
1591C22×C5—22no—
1592C22×C5—24no—
1593C22×C5—24no—
1594C22×C5—24no—
1595C22×C5—24no—
1596C22×C5—24no—
1597C22×C5—84no—
1598C22×C5—162no—
1599C22×C5C2×H(5,𝔽2)12yes—
1600C22×C5C2611yescharacteristic
1601C2×D5—22no—
1602C2×D5—22no—
1603C2×D5—24no—
1604C2×D5—24no—
1605C2×D5—24no—
1606C2×D5—24no—
1607C2×D5—24no—
1608C2×D5—24no—
1609C2×D5—44no—
1610C2×D5—88no—
1611C2×D5—84no—
1612C2×D5—164no—
1613C2×D5—162no—
1614C2×D5C2×H(5,𝔽2)14yes—
1615C4×C5—21no—
1616C4×C5—21no—
1617C4×C5—24no—
1618C4×C5—22no—
1619C4×C5—22no—
1620C4×C5—24no—
1621C4×C5—22no—
1622C4×C5—22no—
1623C4×C5—24no—
1624Dic5—24no—
1625Dic5—24no—
1626Dic5—22no—
1627Dic5—24no—
1628Dic5—24no—
1629Dic5—22no—
1630Dic5#58514yes—
1631C24—51no—
1632C24—54no—
1633C24—52no—
1634C24—52no—
1635C24—54no—
1636C24C23×D512yes—
1637C24C23×D512yes—
1638#41—44no—
1639#41—204no—
1640#41—208no—
1641#41—208no—
1642#41—208no—
1643#41—208no—
1644#41—204no—
1645#41—208no—
1646#41—204no—
1647#41—208no—
1648#41—208no—
1649#41—204no—
1650#41—208no—
1651#41—204no—
1652#41—208no—
1653C2×Q8—42no—
1654C2×Q8—54no—
1655C2×Q8—52no—
1656C2×Q8—54no—
1657C2×Q8—52no—
1658C2×Q8—52no—
1659C2×Q8—52no—
1660C2×Q8—202no—
1661C2×Q8—204no—
1662C2×Q8C23×D512yes—
1663C2×Q8C23×D512yes—
1664C2×Q8C23×D511yescharacteristic
1665C2×Q8C23×D512yes—
1666C2×Q8C23×D511yescharacteristic
1667C2×D4—42no—
1668C2×D4—44no—
1669C2×D4—54no—
1670C2×D4—54no—
1671C2×D4—54no—
1672C2×D4—54no—
1673C2×D4—54no—
1674C2×D4—54no—
1675C2×D4—54no—
1676C2×D4—54no—
1677C2×D4—54no—
1678C2×D4—54no—
1679C2×D4—54no—
1680C2×D4—54no—
1681C2×D4—54no—
1682C2×D4—54no—
1683C2×D4—54no—
1684C2×D4—54no—
1685C2×D4—54no—
1686C2×D4—54no—
1687C2×D4—54no—
1688C2×D4—54no—
1689C2×D4—52no—
1690C2×D4—54no—
1691C2×D4—52no—
1692C2×D4—52no—
1693C2×D4—52no—
1694C2×D4—54no—
1695C2×D4—108no—
1696C2×D4—1016no—
1697C2×D4—108no—
1698C2×D4—202no—
1699C2×D4—208no—
1700C2×D4—204no—
1701C2×D4—208no—
1702C2×D4—208no—
1703C2×D4—208no—
1704C2×D4—208no—
1705C2×D4—208no—
1706C2×D4—208no—
1707C2×D4—204no—
1708C2×D4—208no—
1709C2×D4C23×D514yes—
1710C2×D4C23×D514yes—
1711C2×D4C23×D512yes—
1712C2×D4C23×D514yes—
1713C2×D4C23×D511yescharacteristic
1714C2×D4C23×D512yes—
1715C2×D4C23×D514yes—
1716C2×D4C23×D512yes—
1717C2×D4C23×D511yescharacteristic
1718C22×C4—52no—
1719C22×C4—51no—
1720C22×C4—52no—
1721C22×C4—54no—
1722C22×C4—54no—
1723C22×C4—54no—
1724C22×C4—54no—
1725C22×C4—54no—
1726C22×C4—52no—
1727C22×C4—52no—
1728C22×C4—52no—
1729C22×C4—52no—
1730C22×C4—52no—
1731C22×C4—54no—
1732C22×C4—54no—
1733C22×C4—52no—
1734C22×C4—52no—
1735C22×C4—54no—
1736C22×C4—54no—
1737C22×C4—54no—
1738C22×C4—54no—
1739C22×C4—54no—
1740C22×C4—54no—
1741C22×C4—54no—
1742C22×C4—54no—
1743C22×C4—54no—
1744C22×C4—54no—
1745C22×C4—104no—
1746C22×C4—204no—
1747C22×C4—204no—
1748C22×C4—208no—
1749C22×C4—204no—
1750C22×C4C23×D511yescharacteristic
1751C22×C4C23×D512yes—
1752C22×C4C23×D512yes—
1753C22×C4C23×D514yes—
1754C22×C4C23×D514yes—
1755C22×C4C23×D514yes—
1756C22×C4C23×D512yes—
1757C4⋊C4—54no—
1758C4⋊C4—54no—
1759C4⋊C4—54no—
1760C4⋊C4—54no—
1761C4⋊C4—54no—
1762C4⋊C4—54no—
1763C4⋊C4—54no—
1764C4⋊C4—54no—
1765C4⋊C4—54no—
1766C4⋊C4—54no—
1767C4⋊C4—54no—
1768C4⋊C4—54no—
1769C4⋊C4—54no—
1770C4⋊C4—54no—
1771C4⋊C4—54no—
1772C4⋊C4—54no—
1773C4⋊C4—54no—
1774C4⋊C4—54no—
1775C4⋊C4—54no—
1776C4⋊C4—54no—
1777C4⋊C4—52no—
1778C4⋊C4—54no—
1779C4⋊C4—54no—
1780C4⋊C4—54no—
1781C4⋊C4—52no—
1782C4⋊C4—54no—
1783C4⋊C4—54no—
1784C4⋊C4—54no—
1785C4⋊C4—54no—
1786C4⋊C4C23×D514yes—
1787C4⋊C4C23×D514yes—
1788C4⋊C4C23×D514yes—
1789C4⋊C4C23×D514yes—
1790C4⋊C4C23×D512yes—
1791C4⋊C4C23×D514yes—
1792C4⋊C4C23×D512yes—
1793C4⋊C4C23×D514yes—
1794C4⋊C4C23×D514yes—
1795C22⋊C4—54no—
1796C22⋊C4—54no—
1797C22⋊C4—54no—
1798C22⋊C4—54no—
1799C22⋊C4—54no—
1800C22⋊C4—54no—
1801C22⋊C4—54no—
1802C22⋊C4—54no—
1803C22⋊C4—52no—
1804C22⋊C4—52no—
1805C22⋊C4—54no—
1806C22⋊C4—54no—
1807C22⋊C4—54no—
1808C22⋊C4—54no—
1809C22⋊C4—54no—
1810C22⋊C4—54no—
1811C22⋊C4—54no—
1812C22⋊C4—54no—
1813C22⋊C4—54no—
1814C22⋊C4—54no—
1815C22⋊C4—54no—
1816C22⋊C4—54no—
1817C22⋊C4—54no—
1818C22⋊C4—54no—
1819C22⋊C4—54no—
1820C22⋊C4—54no—
1821C22⋊C4—54no—
1822C22⋊C4—54no—
1823C22⋊C4—54no—
1824C22⋊C4—54no—
1825C22⋊C4—54no—
1826C22⋊C4—54no—
1827C22⋊C4—54no—
1828C22⋊C4—54no—
1829C22⋊C4—54no—
1830C22⋊C4C23×D514yes—
1831C22⋊C4C23×D514yes—
1832C22⋊C4C23×D514yes—
1833C22⋊C4C23×D514yes—
1834C22⋊C4C23×D514yes—
1835C22⋊C4C23×D514yes—
1836C22⋊C4C23×D514yes—
1837C22⋊C4C23×D514yes—
1838C22⋊C4C23×D514yes—
1839C22⋊C4C23×D514yes—
1840C22⋊C4C23×D514yes—
1841C22⋊C4C23×D514yes—
1842C22⋊C4C23×D512yes—
1843C22⋊C4C23×D512yes—
1844C22⋊C4C23×D514yes—
1845C42—52no—
1846C42—52no—
1847C42—52no—
1848C42—52no—
1849C42—51no—
1850C42—52no—
1851C42—51no—
1852C42—54no—
1853C42—54no—
1854C42—54no—
1855C42—52no—
1856C42—54no—
1857C42—52no—
1858C42—54no—
1859C42C23×D511yescharacteristic
1860C42C23×D512yes—
1861C42C23×D511yescharacteristic
1862C42C23×D514yes—
1863C42C23×D512yes—
1864C42C23×D512yes—
1865C2×C5—22no—
1866C2×C5—44no—
1867C2×C5—42no—
1868C2×C5—42no—
1869C2×C5C22×H(5,𝔽2)11yescharacteristic
1870C2×C5C2×#58512yes—
1871D5—24no—
1872D5—44no—
1873D5—44no—
1874C23—24no—
1875C23—44no—
1876C23—42no—
1877C23—44no—
1878C23—52no—
1879C23—54no—
1880C23—54no—
1881C23—54no—
1882C23—108no—
1883C23—104no—
1884C23—202no—
1885C23—204no—
1886C23—204no—
1887C23—204no—
1888C23—204no—
1889C23—202no—
1890C23—204no—
1891C23—204no—
1892C23—204no—
1893C23C24×D514yes—
1894C23C24×D512yes—
1895C23C24×D512yes—
1896C23C24×D511yescharacteristic
1897Q8—41no—
1898Q8—42no—
1899Q8—41no—
1900Q8—42no—
1901Q8—42no—
1902Q8—108no—
1903Q8—202no—
1904Q8—202no—
1905Q8—202no—
1906Q8—202no—
1907Q8—204no—
1908D4—28no—
1909D4—44no—
1910D4—41no—
1911D4—42no—
1912D4—41no—
1913D4—42no—
1914D4—44no—
1915D4—42no—
1916D4—44no—
1917D4—108no—
1918D4—108no—
1919D4—108no—
1920D4—108no—
1921D4—108no—
1922D4—108no—
1923D4—108no—
1924D4—108no—
1925D4—108no—
1926D4—108no—
1927D4—202no—
1928D4—204no—
1929D4—202no—
1930D4—202no—
1931D4—204no—
1932D4—202no—
1933D4—204no—
1934D4—204no—
1935D4—204no—
1936D4—204no—
1937D4—204no—
1938D4—204no—
1939D4—204no—
1940D4—204no—
1941D4—204no—
1942D4—204no—
1943C2×C4—22no—
1944C2×C4—24no—
1945C2×C4—44no—
1946C2×C4—42no—
1947C2×C4—42no—
1948C2×C4—44no—
1949C2×C4—44no—
1950C2×C4—52no—
1951C2×C4—54no—
1952C2×C4—52no—
1953C2×C4—52no—
1954C2×C4—54no—
1955C2×C4—54no—
1956C2×C4—54no—
1957C2×C4—104no—
1958C2×C4—104no—
1959C2×C4—108no—
1960C2×C4—104no—
1961C2×C4—104no—
1962C2×C4—108no—
1963C2×C4—104no—
1964C2×C4—108no—
1965C2×C4—102no—
1966C2×C4—104no—
1967C2×C4—204no—
1968C2×C4—204no—
1969C2×C4—204no—
1970C2×C4—202no—
1971C2×C4—204no—
1972C2×C4—202no—
1973C2×C4—204no—
1974C2×C4—204no—
1975C2×C4—204no—
1976C2×C4—204no—
1977C2×C4—204no—
1978C2×C4—204no—
1979C2×C4—204no—
1980C2×C4—204no—
1981C2×C4—202no—
1982C2×C4—204no—
1983C2×C4—204no—
1984C2×C4C24×D512yes—
1985C2×C4C24×D512yes—
1986C2×C4C24×D514yes—
1987C2×C4C24×D511yescharacteristic
1988C2×C4C24×D511yescharacteristic
1989C2×C4C24×D512yes—
1990C2×C4C24×D514yes—
1991C2×C4C24×D514yes—
1992C2×C4C24×D512yes—
1993C5#6282211yescharacteristic, complemented, Sylow
1994C22—22no—
1995C22—22no—
1996C22—24no—
1997C22—22no—
1998C22—24no—
1999C22—24no—
2000C22—24no—
2001C22—24no—
2002C22—54no—
2003C22—84no—
2004C22—102no—
2005C22—102no—
2006C22—104no—
2007C22—104no—
2008C22—104no—
2009C22—104no—
2010C22—104no—
2011C22—104no—
2012C22—162no—
2013C22—204no—
2014C22—404no—
2015C22—408no—
2016C22—802no—
2017C22—804no—
2018C22D5×H(5,𝔽2)12yes—
2019C22C25×D511yescharacteristic
2020C4—22no—
2021C4—21no—
2022C4—21no—
2023C4—22no—
2024C4—24no—
2025C4—22no—
2026C4—24no—
2027C4—22no—
2028C4—24no—
2029C4—54no—
2030C4—102no—
2031C4—104no—
2032C4—104no—
2033C4—104no—
2034C4—102no—
2035C4—104no—
2036C2—22no—
2037C2—42no—
2038C2—42no—
2039C2—44no—
2040C2—104no—
2041C2—204no—
2042C2—204no—
2043C2C2×D5×H(5,𝔽2)11yescharacteristic
2044C2D5×#58512yes—
subgroupG/H
center, FrattiniC22C25×D5
commutator, socle, cosocleC22×C5C26
FittingC5×#3545C2
hypercenter#3545D5
hypocenterC5#62822
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #3545

Complements

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

NH ≅ G/Ntype
1. C5×#3545C2semidirect
2. #10619035C2semidirect
3. #10619015C2semidirect
4. #10619014C2semidirect
5. #10618993C2semidirect
6. #10618861C2semidirect
7. #10618718C2semidirect
8. #10618696C2semidirect
9. #10618693C2semidirect
10. #10618566C2semidirect
11. #10618536C2semidirect
12. #10618469C2semidirect
13. #10618459C2semidirect
14. #10618327C2semidirect
15. #10618318C2semidirect
16. #10618255C2semidirect
17. #10618247C2semidirect
18. #10618204C2semidirect
19. #10618197C2semidirect
20. #10618074C2semidirect
21. D5×#529C2semidirect
22. #10617980C2semidirect
23. C2×#66002C2semidirect
24. C2×#4149C22semidirect
25. C22×#713C22semidirect
26. C2×#4144C22semidirect
27. C22×#711C22semidirect
28. C5×#563C22semidirect
29. C5×#562C22semidirect
30. C5×H(3,𝔽4)C22semidirect
31. C5×#555C22semidirect
32. C5×#551C22semidirect
33. C5×#551C22semidirect
34. C5×#546C22semidirect
35. C5×#542C22semidirect
36. C5×#538C22semidirect
37. C5×#536C22semidirect
38. C5×#534C22semidirect
39. C5×#529C22semidirect
40. C2×C5×#124C22semidirect
41. #66162C22semidirect
42. #66158C22semidirect
43. #66150C22semidirect
44. C2×#4090C22semidirect
45. #66138C22semidirect
46. C2×#4086C22semidirect
47. D4×C22⋊D5C22semidirect
48. C2×#4081C22semidirect
49. #66069C22semidirect
50. #66063C22semidirect
51. #66060C22semidirect
52. #66060C22semidirect
53. #66056C22semidirect
54. #66044C22semidirect
55. #66044C22semidirect
56. #66043C22semidirect
57. #66043C22semidirect
58. #66043C22semidirect
59. #66043C22semidirect
60. #66041C22semidirect
61. #66041C22semidirect
62. #66040C22semidirect
63. #66040C22semidirect
64. #66038C22semidirect
65. D5×#126C22semidirect
66. #66034C22semidirect
67. #66033C22semidirect
68. #66025C22semidirect
69. D5×#125C22semidirect
70. #66018C22semidirect
71. #66018C22semidirect
72. #66017C22semidirect
73. #66017C22semidirect
74. #66015C22semidirect
75. #66014C22semidirect
76. #66013C22semidirect
77. #66013C22semidirect
78. #66012C22semidirect
79. #66012C22semidirect
80. #66012C22semidirect
81. #66011C22semidirect
82. #66010C22semidirect
83. #66010C22semidirect
84. #66010C22semidirect
85. D5×#124C22semidirect
86. #66006C22semidirect
87. #66006C22semidirect
88. #66004C22semidirect
89. #66004C22semidirect
90. #66003C22semidirect
91. #66003C22semidirect
92. #66003C22semidirect
93. #66002C22semidirect
94. #66002C22semidirect
95. #66002C22semidirect
96. #66002C22semidirect
97. #66002C22semidirect
98. #66002C22semidirect
99. #66002C22semidirect
100. #66000C22semidirect
101. #65999C22semidirect
102. #65998C22semidirect
103. #65998C22semidirect
104. #65997C22semidirect
105. #65997C22semidirect
106. #65995C22semidirect
107. #65995C22semidirect
108. #65994C22semidirect
109. #65992C22semidirect
110. #65991C22semidirect
111. #65990C22semidirect
112. #65989C22semidirect
113. #65989C22semidirect
114. #65989C22semidirect
115. #65989C22semidirect
116. #65988C22semidirect
117. #65987C22semidirect
118. #65987C22semidirect
119. #65987C22semidirect
120. D5×#123C22semidirect
121. D5×#123C22semidirect
122. #65984C22semidirect
123. #65983C22semidirect
124. #65982C22semidirect
125. #65980C22semidirect
126. #65979C22semidirect
127. #65978C22semidirect
128. #65974C22semidirect
129. #65972C22semidirect
130. #65971C22semidirect
131. #65970C22semidirect
132. #65970C22semidirect
133. #65969C22semidirect
134. #65967C22semidirect
135. #65965C22semidirect
136. #65965C22semidirect
137. #65965C22semidirect
138. #65964C22semidirect
139. #65964C22semidirect
140. #65963C22semidirect
141. D5×C22⋊Q8C22semidirect
142. #65958C22semidirect
143. #65957C22semidirect
144. #65954C22semidirect
145. #65949C22semidirect
146. #65949C22semidirect
147. #65948C22semidirect
148. #65947C22semidirect
149. #65945C22semidirect
150. #65945C22semidirect
151. #65944C22semidirect
152. #65944C22semidirect
153. #65944C22semidirect
154. #65944C22semidirect
155. #65943C22semidirect
156. #65942C22semidirect
157. #65941C22semidirect
159. D5×#121C22semidirect
160. #65935C22semidirect
161. #65934C22semidirect
162. #65933C22semidirect
163. #65929C22semidirect
164. #65927C22semidirect
165. #65926C22semidirect
166. #65925C22semidirect
167. #65925C22semidirect
168. #65925C22semidirect
169. #65925C22semidirect
170. #65924C22semidirect
171. #65924C22semidirect
172. #65924C22semidirect
173. #65923C22semidirect
174. #65923C22semidirect
175. #65920C22semidirect
176. #65916C22semidirect
177. #65914C22semidirect
178. C4×Q8×D5C22semidirect
179. #65899C22semidirect
180. #65894C22semidirect
181. #65892C22semidirect
182. #65891C22semidirect
183. #65890C22semidirect
184. #65888C22semidirect
185. #65884C22semidirect
186. #65882C22semidirect
187. #65881C22semidirect
188. #65880C22semidirect
189. #65879C22semidirect
190. C4×D4×D5C22semidirect
191. C4×D4×D5C22semidirect
192. #65874C22semidirect
193. #65872C22semidirect
194. #65866C22semidirect
195. #65865C22semidirect
196. #65864C22semidirect
197. #65862C22semidirect
198. #65862C22semidirect
199. #65861C22semidirect
200. #65861C22semidirect
201. #65858C22semidirect
202. #65857C22semidirect
203. #65855C22semidirect
204. D5×#117C22semidirect
205. #65829C22semidirect
206. #65829C22semidirect
207. C2×#4032C22semidirect
208. #65824C22semidirect
209. #65824C22semidirect
210. #65824C22semidirect
211. C2×#4030C22semidirect
212. C2×#4030C22semidirect
213. #65820C22semidirect
214. #65820C22semidirect
215. C2×#4027C22semidirect
216. #65813C22semidirect
217. C2×#4021C22semidirect
218. C2×C42×D5C22semidirect
627. #3545D5semidirect
885. #563C2×D5semidirect
889. #562C2×D5semidirect
892. H(3,𝔽4)C2×D5semidirect
903. #555C2×D5semidirect
930. #551C2×D5semidirect
931. #551C2×D5semidirect
966. #546C2×D5semidirect
981. #542C2×D5semidirect
1001. #538C2×D5semidirect
1006. #536C2×D5semidirect
1015. #534C2×D5semidirect
1039. #529C2×D5semidirect
1044. C2×#124C2×D5semidirect
1993. C5#62822semidirect

Maximal subgroups

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

subgroupindex
C5×#35452
#106190352
#106190152
#106190142
#106189932
#106188612
#106187182
#106186962
#106186932
#106185662
#106185362
#106184692
#106184592
#106183272
#106183182
#106182552
#106182472
#106182042
#106181972
#106180742
D5×#5292
#106179802
C2×#660022
#628225