Finite Group Databasebeta

← #13007324

Subgroups — #13007324

Order 1280.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3492C211yesmaximal, characteristic, complemented
2#10618835C214yesmaximal, complemented
3#10618825C214yesmaximal, complemented
4#10618789C214yesmaximal, complemented
5#10618777C214yesmaximal, complemented
6#10618735C214yesmaximal, complemented
7#10618727C214yesmaximal, complemented
8#10618582C214yesmaximal, complemented
9#10618575C214yesmaximal, complemented
10#10618500C211yesmaximal, characteristic, complemented
11#10618483C211yesmaximal, characteristic, complemented
12#10618355C214yesmaximal, complemented
13#10618329C214yesmaximal, complemented
14#10618283C211yesmaximal, characteristic, complemented
15#10618265C211yesmaximal, characteristic, complemented
16#10617944C214yesmaximal, complemented
17#10617940C212yesmaximal, complemented
18D5×#525C214yesmaximal, complemented
19#10617919C212yesmaximal, complemented
20#10617792C212yesmaximal, complemented
21#10617787C212yesmaximal, complemented
22#10617619C211yesmaximal, characteristic, complemented
23C22×#4039C211yesmaximal, characteristic, complemented
24C2×#4149C2212yes—
25C2×D5×#41C2214yescomplemented
26C23×D20C2211yescharacteristic
27C23×C4×D5C2212yescomplemented
28C5×#554C2214yescomplemented
29C5×#553C2214yescomplemented
30C5×#552C2214yescomplemented
31C5×#547C2214yescomplemented
32C5×#544C2211yescharacteristic, complemented
33C5×#539C2214yescomplemented
34C5×#537C2211yescharacteristic, complemented
35C5×#525C2212yescomplemented
36C5×#525C2214yescomplemented
37C5×#520C2212yescomplemented
38C22×C5×C4⋊C4C2211yescharacteristic, complemented
39#66166C2212yescomplemented
40#66164C2212yescomplemented
41#66163C2218yescomplemented
42#66162C2214yescomplemented
43#41×Dic5C2212yescomplemented
44#66125C2212yescomplemented
45#66125C2214yescomplemented
46C22×#685C2212yescomplemented
47C22×C4×Dic5C2211yescharacteristic, complemented
48#66067C2214yescomplemented
49#66064C2214yescomplemented
50#66061C2214yescomplemented
51#66059C2214yescomplemented
52#66043C2218yescomplemented
53#66040C2218yescomplemented
54#66039C2218yescomplemented
55#66038C2218yescomplemented
56#66032C2214yescomplemented
57#66029C2218yescomplemented
58#66027C2218yescomplemented
59#66026C2218yescomplemented
60#66025C2214yescomplemented
61#66025C2218yescomplemented
62#66024C2214yescomplemented
63#66024C2214yescomplemented
64#65995C2218yescomplemented
65#65992C2218yescomplemented
66#65991C2218yescomplemented
67#65990C2218yescomplemented
68#65990C2218yescomplemented
69#65988C2218yescomplemented
70#65988C2218yescomplemented
71#65987C2218yescomplemented
72D5×#123C2218yescomplemented
73#65983C2214yescomplemented
74#65983C2214yescomplemented
75#65978C2214yescomplemented
76#65977C2214yescomplemented
77#65972C2218yescomplemented
78#65971C2218yescomplemented
79#65971C2218yescomplemented
80#65968C2214yescomplemented
81#65967C2218yescomplemented
82#65965C2214yescomplemented
83#65964C2214yescomplemented
84#65964C2214yescomplemented
85#65964C2214yescomplemented
86#65961C2214yescomplemented
87#65961C2214yescomplemented
88#65961C2218yescomplemented
89D5×C22⋊Q8C2214yescomplemented
90D5×C22⋊Q8C2214yescomplemented
91#65958C2212yescomplemented
92#65958C2212yescomplemented
93#65958C2214yescomplemented
94#65956C2212yescomplemented
95#65956C2212yescomplemented
96#65953C2214yescomplemented
97#65951C2214yescomplemented
98#65946C2214yescomplemented
99#65944C2218yescomplemented
100#65943C2214yescomplemented
101#65943C2214yescomplemented
102#65943C2214yescomplemented
103#65940C2214yescomplemented
104#65940C2214yescomplemented
105#65939C2214yescomplemented
106D5×#121C2214yescomplemented
107D5×#121C2214yescomplemented
108#65934C2212yescomplemented
109#65934C2212yescomplemented
110#65930C2212yescomplemented
111#65930C2212yescomplemented
112#65930C2214yescomplemented
113D5×#120C2218yescomplemented
114#65920C2214yescomplemented
115#65920C2214yescomplemented
116#65919C2214yescomplemented
117#65908C2214yescomplemented
118C4×#713C2214yescomplemented
119#65902C2214yescomplemented
120#65894C2218yescomplemented
121#65893C2214yescomplemented
122#65890C2218yescomplemented
123#65888C2218yescomplemented
124#65887C2214yescomplemented
125#65884C2214yescomplemented
126#65884C2214yescomplemented
127D4×D20C2214yescomplemented
128D4×D20C2214yescomplemented
129#65881C2218yescomplemented
130#65881C2218yescomplemented
131#65879C2218yescomplemented
132#65879C2214yescomplemented
133C4×D4×D5C2218yescomplemented
134C4×D4×D5C2218yescomplemented
135C4×D4×D5C2214yescomplemented
136#65872C2214yescomplemented
137#65872C2214yescomplemented
138C4×#711C2214yescomplemented
139C4×#711C2214yescomplemented
140#65866C2214yescomplemented
141#65864C2214yescomplemented
142#65861C2218yescomplemented
143#65859C2212yescomplemented
144#65858C2214yescomplemented
145#65856C2212yescomplemented
146#65856C2214yescomplemented
147#65855C2212yes—
148#65855C2214yescomplemented
149D5×#117C2214yescomplemented
150#65851C2212yescomplemented
151#65849C2214yescomplemented
152#65848C2214yescomplemented
153#65848C2214yescomplemented
154#65847C2214yescomplemented
155#65845C2214yescomplemented
156#65844C2211yescharacteristic, complemented
157#65841C2214yescomplemented
158#65841C2214yescomplemented
159#65838C2212yescomplemented
160#65838C2214yescomplemented
161C2×#4039C2211yescharacteristic
162C2×#4039C2211yescharacteristic
163C2×#4039C2214yescomplemented
164C2×#4039C2214yescomplemented
165C2×#4039C2211yescharacteristic, complemented
166C2×#4039C2214yescomplemented
167C2×#4039C2214yescomplemented
168C2×#4039C2211yescharacteristic, complemented
169C2×#4039C2212yescomplemented
170C2×#4039C2212yescomplemented
171C2×#4039C2214yescomplemented
172#65834C2211yescharacteristic, complemented
173#62773—51nomaximal, Sylow
174C24×D5C2312yes—
175C2×C5×#41C2312yes—
176C2×C5×#41C2314yes—
177C23×C4×C5C2311yescharacteristic
178C23×C4×C5C2312yes—
179C23×Dic5C2311yescharacteristic
180C23×Dic5C2311yescharacteristic
181#4149—216no—
182D5×#41—416no—
183C2×#713C2314yes—
184C2×#713C2314yescomplemented
185C2×Q8×D5C2314yescomplemented
186C2×#711C2314yes—
187C2×#711C2314yes—
188C2×#711C2314yescomplemented
189C2×D4×D5C2318yes—
190C2×D4×D5C2314yes—
191C2×D4×D5C2318yes—
192C2×D4×D5C2318yes—
193C2×D4×D5C2314yescomplemented
194C2×#709C2312yes—
195C2×#709C2314yes—
196C2×#709C2314yes—
197C2×#709C2318yescomplemented
198C22×D20—28no—
199C22×D20C2311yescharacteristic
200C22×D20C2314yes—
201C22×D20C2314yes—
202C22×D20C2312yes—
203C22×D20C2314yes—
204C22×D20C2311yescharacteristic
205C22×C4×D5—48no—
206C22×C4×D5C2314yes—
207C22×C4×D5C2312yes—
208C22×C4×D5C2312yes—
209C22×C4×D5C2314yes—
210C22×C4×D5C2314yes—
211C22×C4×D5C2312yes—
212C22×C4×D5C2314yes—
213C22×C4×D5C2312yes—
214C22×C4×D5C2318yescomplemented
215C5×C4⋊Q8C2314yescomplemented
216C5×#126C2318yescomplemented
217C5×#125C2318yescomplemented
218C5×#125C2314yescomplemented
219C5×#123C2314yes—
220C5×#123C2318yes—
221C5×#123C2318yescomplemented
222C5×C22⋊Q8C2314yes—
223C5×C22⋊Q8C2312yes—
224C5×C22⋊Q8C2312yes—
225C5×C22⋊Q8C2314yes—
226C5×C22⋊Q8C2314yescomplemented
227C5×C22⋊Q8C2318yescomplemented
228C5×#121C2312yes—
229C5×#121C2312yes—
230C5×#121C2314yes—
231C5×#121C2314yes—
232C5×#121C2314yescomplemented
233C5×#120C2314yes—
234C4×C5×Q8C2314yescomplemented
235C4×C5×D4C2314yes—
236C4×C5×D4C2314yes—
237C4×C5×D4C2318yes—
238C4×C5×D4C2318yes—
239C4×C5×D4C2314yescomplemented
240C5×#117C2312yes—
241C5×#117C2314yes—
242C5×#117C2314yescomplemented
243C2×C5×C4⋊C4C2311yescharacteristic
244C2×C5×C4⋊C4C2311yescharacteristic
245C2×C5×C4⋊C4C2314yes—
246C2×C5×C4⋊C4C2314yes—
247C2×C5×C4⋊C4C2312yes—
248C2×C5×C4⋊C4C2314yescomplemented
249#4099C2314yes—
250#4093C2314yes—
251#4093C2318yescomplemented
252#4093C2312yescomplemented
253#4092C2318yescomplemented
254#4092C2314yescomplemented
255#4092C2314yescomplemented
256Q8×Dic5C2312yescomplemented
257Q8×Dic5C2312yescomplemented
258#4090C2312yescomplemented
259#4086C2314yes—
260#4086C2312yescomplemented
261#4085C2314yes—
262#4085C2314yes—
263#4085C2314yes—
264#4085C2314yes—
265#4085C2318yescomplemented
266#4084C2314yescomplemented
267#4084C2314yescomplemented
268#4083C2318yes—
269#4083C2318yes—
270#4083C2318yes—
271#4083C2318yescomplemented
272#4082C2312yescomplemented
273#4081C2314yes—
274#4081C2314yes—
275D4×Dic5C2314yes—
276D4×Dic5C2314yes—
277D4×Dic5C2314yes—
278D4×Dic5C2314yes—
279D4×Dic5C2312yescomplemented
280D4×Dic5C2312yescomplemented
281#4076C2312yes—
282#4076C2314yes—
283#4076C2314yes—
284#4076C2312yes—
285#4076C2314yes—
286#4076C2314yes—
287#4076C2318yescomplemented
288#4075C2318yes—
289#4075C2314yes—
290#4075C2318yescomplemented
291C4×C22⋊D5C2318yes—
292C4×C22⋊D5C2314yes—
293C4×C22⋊D5C2314yes—
294C4×C22⋊D5C2318yes—
295C4×C22⋊D5C2318yescomplemented
296C4×C22⋊D5C2318yescomplemented
297C4×C22⋊D5C2314yescomplemented
298C4×C22⋊D5C2314yescomplemented
299C4×C22⋊D5C2318yescomplemented
300C2×#685C2312yes—
301C2×#685C2312yes—
302C2×#685C2318yes—
303C2×#685C2318yes—
304C2×#685C2312yes—
305C2×#685C2312yes—
306C2×#685C2318yescomplemented
307#4072C2312yes—
308#4072C2314yes—
309#4072C2314yescomplemented
310#4070C2314yes—
311#4070C2312yes—
312#4070C2314yes—
313#4070C2312yes—
314C2×C4×Dic5C2311yescharacteristic
315C2×C4×Dic5C2311yescharacteristic
316C2×C4×Dic5C2312yes—
317C2×C4×Dic5C2312yes—
318C2×C4×Dic5C2312yes—
319C2×C4×Dic5C2312yes—
320C2×C4×Dic5C2311yescharacteristic
321C2×C4×Dic5C2311yescharacteristic
322C2×C4×Dic5C2314yescomplemented
323#4044C2318yescomplemented
324#4044C2318yescomplemented
325#4044C2318yescomplemented
326#4044C2318yescomplemented
327#4044C2314yescomplemented
328#4044C2314yescomplemented
329#4043C2318yescomplemented
330#4043C2314yescomplemented
331#4043C2314yescomplemented
332#4043C2314yescomplemented
333#4042C2318yescomplemented
334#4042C2318yescomplemented
335#4042C2318yescomplemented
336#4042C2318yescomplemented
337#4042C2318yescomplemented
338#4041C2314yes—
339#4041C2314yes—
340#4041C2318yes—
341#4041C2318yes—
342#4041C2314yescomplemented
343#4041C2318yescomplemented
344#4041C2314yescomplemented
345#4041C2314yescomplemented
346#4040C2318yes—
347#4040C2318yes—
348#4040C2318yescomplemented
349#4040C2318yescomplemented
350#4040C2318yescomplemented
351#4040C2318yescomplemented
352#4040C2318yescomplemented
353#4040C2318yescomplemented
354#4039C2314yes—
355#4039C2314yes—
356#4039C2314yes—
357#4039C2314yes—
358#4039C2314yes—
359#4039C2314yes—
360#4039C2314yes—
361#4039C2314yes—
362#4039C2314yes—
363#4039C2318yes—
364#4039C2318yes—
365#4039C2318yes—
366#4039C2318yes—
367#4039C2314yes—
368#4039C2312yescomplemented
369#4039C2318yescomplemented
370#4039C2314yescomplemented
371#4039C2318yescomplemented
372#4039C2318yescomplemented
373#4039C2312yescomplemented
374#4038C2314yescomplemented
375#4038C2318yescomplemented
376#4038C2314yescomplemented
377#4038C2314yescomplemented
378#4038C2314yescomplemented
379#4038C2314yescomplemented
380D5×C4⋊C4C2318yescomplemented
381D5×C4⋊C4C2314yescomplemented
382D5×C4⋊C4C2318yescomplemented
383D5×C4⋊C4C2314yescomplemented
384D5×C4⋊C4C2314yescomplemented
385#4036C2312yescomplemented
386#4036C2314yescomplemented
387#4036C2312yescomplemented
388#4035C2318yescomplemented
389#4035C2314yescomplemented
390#4035C2314yescomplemented
391#4034C2312yescomplemented
392#4034C2314yescomplemented
393#4034C2312yescomplemented
394#4033C2312yescomplemented
395#4033C2314yescomplemented
396#4033C2312yescomplemented
397#4033C2314yescomplemented
398#4033C2314yescomplemented
399#4032C2314yes—
400#4032C2314yes—
401#4032C2318yescomplemented
402#4031C2318yescomplemented
403#4031C2314yescomplemented
404#4031C2314yescomplemented
405#4031C2318yescomplemented
406#4030C2318yes—
407#4030C2318yes—
408#4030C2318yescomplemented
409#4030C2318yescomplemented
410#4030C2318yescomplemented
411#4029C2318yescomplemented
412#4029C2318yescomplemented
413#4029C2318yescomplemented
414#4028C2318yes—
415#4028C2318yes—
416#4028C2318yes—
417#4028C2318yes—
418#4028C2318yes—
419#4028C2318yescomplemented
420#4027C2314yes—
421#4027C2314yes—
422#4027C2314yes—
423#4027C2314yes—
424#4027C2318yescomplemented
425#4027C2318yescomplemented
426#4027C2314yescomplemented
427#4027C2314yescomplemented
428#4027C2318yescomplemented
429D5×C22⋊C4C2318yes—
430D5×C22⋊C4C2318yes—
431D5×C22⋊C4C2318yes—
432D5×C22⋊C4C2318yescomplemented
433D5×C22⋊C4C2318yescomplemented
434D5×C22⋊C4C2318yescomplemented
435#4025C2314yescomplemented
436#4025C2314yescomplemented
437#4024C2314yes—
438#4024C2314yes—
439#4024C2314yes—
440#4024C2314yes—
441#4023C2314yes—
442#4023C2314yes—
443#4023C2314yescomplemented
444#4023C2314yescomplemented
445#4022C2318yescomplemented
446#4021C2314yes—
447#4021C2318yescomplemented
448#4020C2314yes—
449C4×D20C2314yes—
450C4×D20C2314yes—
451C4×D20C2318yescomplemented
452C4×D20C2318yescomplemented
453C4×D20C2318yescomplemented
454#4018C2314yescomplemented
455#4018C2318yescomplemented
456#4018C2318yescomplemented
457C42×D5C2314yescomplemented
458C42×D5C2318yescomplemented
459C4×Dic10C2314yescomplemented
460C4×Dic10C2314yescomplemented
461#3520—54no—
462#3519—54no—
463#3513—54no—
464#3513—54no—
465#3506—52no—
466#3505—54no—
467#3501—51no—
468#3496—51no—
469#3492—51no—
470#3492D511yescharacteristic, complemented
471#3490—54no—
472#3484—52no—
473#3481—54no—
474#3481—54no—
475#3475—54no—
476D4×#41—54no—
477#3460—51no—
478#3460—51no—
479#3459—54no—
480#3444—52no—
481C2×#525—54no—
482C4×H(5,𝔽2)—52no—
483C22×C4×D4—51no—
484C24×C5C2411yescharacteristic
485C23×D5—28no—
486C23×D5—44no—
487C23×D5—44no—
488C23×D5C2414yes—
489C23×D5C2414yes—
490C23×D5C2412yes—
491C23×D5C2418yes—
492C23×D5C2412yes—
493C5×#41—28no—
494C5×#41—48no—
495C2×C5×Q8C2412yes—
496C2×C5×Q8C2414yes—
497C2×C5×D4C2414yes—
498C2×C5×D4C2414yes—
499C2×C5×D4C2414yes—
500C2×C5×D4C2412yes—
501C2×C5×D4C2414yes—
502C22×C4×C5—24no—
503C22×C4×C5—44no—
504C22×C4×C5C2414yes—
505C22×C4×C5C2412yes—
506C22×C4×C5C2412yes—
507C22×C4×C5C2411yescharacteristic
508C22×C4×C5C2414yes—
509C22×C4×C5C2412yes—
510C22×C4×C5C2414yes—
511C22×C4×C5C2412yes—
512C22×C4×C5C2418yes—
513C22×C4×C5C2411yescharacteristic
514C2×C22⋊D5C2414yes—
515C2×C22⋊D5C2414yes—
516C2×C22⋊D5C2414yes—
517C2×C22⋊D5C2418yes—
518C2×C22⋊D5C2414yes—
519C2×C22⋊D5C2418yes—
520C2×C22⋊D5C2418yes—
521C2×C22⋊D5C2414yes—
522C22×Dic5—24no—
523C22×Dic5—42no—
524C22×Dic5C2411yescharacteristic
525C22×Dic5C2411yescharacteristic
526C22×Dic5C2411yescharacteristic
527C22×Dic5C2411yescharacteristic
528C22×Dic5C2411yescharacteristic
529C22×Dic5C2414yes—
530C22×Dic5C2412yes—
531C22×Dic5C2414yes—
532C22×Dic5C2411yescharacteristic
533C22×Dic5C2412yes—
534C22×Dic5C2411yescharacteristic
535C22×Dic5C2411yescharacteristic
536#713—216no—
537#713—48no—
538Q8×D5—48no—
539#711—216no—
540#711—48no—
541#711—48no—
542D4×D5—232no—
543D4×D5—216no—
544D4×D5—48no—
545D4×D5—416no—
546D4×D5—416no—
547#709—28no—
548#709—216no—
549#709—416no—
550#709—48no—
551C2×D20—28no—
552C2×D20—24no—
553C2×D20—216no—
554C2×D20—216no—
555C2×D20—216no—
556C2×D20#4118yescomplemented
557C2×D20C2414yes—
558C2×D20C2418yes—
559C2×D20C2412yes—
560C2×D20C2418yes—
561C2×D20C2414yes—
562C2×D20C2418yes—
563C2×D20C2418yes—
564C2×D20C2414yes—
565C2×C4×D5—216no—
566C2×C4×D5—44no—
567C2×C4×D5—48no—
568C2×C4×D5—44no—
569C2×C4×D5—48no—
570C2×C4×D5—44no—
571C2×C4×D5—44no—
572C2×C4×D5—416no—
573C2×C4×D5—48no—
574C2×C4×D5C2414yes—
575C2×C4×D5C2414yes—
576C2×C4×D5C2414yes—
577C2×C4×D5C2414yes—
578C2×C4×D5C2414yes—
579C2×C4×D5C2418yes—
580C2×C4×D5C2414yes—
581C2×C4×D5C2414yes—
582C2×C4×D5C2414yes—
583C2×C4×D5C2414yes—
584C2×C4×D5C2414yes—
585C2×C4×D5C2418yes—
586C2×C4×D5C2418yes—
587C2×C4×D5C2418yes—
588C2×C4×D5C2414yes—
589C2×Dic10C2412yes—
590C2×Dic10C2414yes—
591C2×Dic10C2414yes—
592C2×Dic10C2414yes—
593C5×C4⋊C4C2414yes—
594C5×C4⋊C4C2414yes—
595C5×C4⋊C4C2418yes—
596C5×C4⋊C4C2412yes—
597C5×C4⋊C4C2418yes—
598C5×C4⋊C4C2412yes—
599C5×C4⋊C4C2414yes—
600C5×C4⋊C4C2414yes—
601C5×C4⋊C4C2414yes—
602C5×C4⋊C4C2418yes—
603C5×C4⋊C4C2414yes—
604C5×C22⋊C4C2414yes—
605C5×C22⋊C4C2414yes—
606C5×C22⋊C4C2418yes—
607C5×C22⋊C4C2414yes—
608C5×C22⋊C4C2418yes—
609C5×C22⋊C4C2414yes—
610C5×C22⋊C4C2414yes—
611C42×C5C2418yes—
612C42×C5C2414yes—
613C22⋊Dic5C2414yes—
614C22⋊Dic5C2414yes—
615C22⋊Dic5C2414yes—
616C22⋊Dic5C2414yes—
617C22⋊Dic5C2414yes—
618C22⋊Dic5C2414yes—
619C22⋊Dic5C2414yes—
620#685C2418yes—
621#685C2414yes—
622#685C2418yes—
623#685C2418yes—
624#685C2418yes—
625#685C2414yes—
626#685C2418yes—
627#685C2414yes—
628#685C2418yes—
629#685C2418yes—
630#685C2418yes—
631#685C2414yes—
632#685C2418yes—
633#685C2418yes—
634#685C2414yes—
635#685C2414yes—
636#685C2418yes—
637#685C2418yes—
638C4⋊Dic5C2414yes—
639C4⋊Dic5C2414yes—
640C4⋊Dic5C2412yes—
641C4⋊Dic5C2412yes—
642C4⋊Dic5C2414yes—
643C4⋊Dic5C2414yes—
644C4⋊Dic5C2414yes—
645C4⋊Dic5C2414yes—
646#683C2414yes—
647#683C2414yes—
648#683C2414yes—
649#683C2414yes—
650#683C2414yes—
651#683C2414yes—
652#683C2418yes—
653#683C2414yes—
654#683C2414yes—
655#683C2414yes—
656#683C2414yes—
657#683C2418yes—
658C4×Dic5C2414yes—
659C4×Dic5C2412yes—
660C4×Dic5C2412yes—
661C4×Dic5C2414yes—
662C4×Dic5C2414yes—
663C4×Dic5C2412yes—
664C4×Dic5C2418yes—
665C4×Dic5C2414yes—
666C4×Dic5C2414yes—
667C4×Dic5C2412yes—
668C4×Dic5C2412yes—
669C4×Dic5C2412yes—
670C4×Dic5C2412yes—
671C4×Dic5C2412yes—
672C2×H(5,𝔽2)—52no—
673C22×#41—54no—
674C23×D4—51no—
675C24×C4—52no—
676#559—54no—
677#559—54no—
678#556—54no—
679#555—54no—
680#554—54no—
681#554—54no—
682#554—54no—
683#554—54no—
684#554C2×D514yescomplemented
685#553—58no—
686#553—58no—
687#553—58no—
688#553—54no—
689#553—54no—
690#553—54no—
691#553C2×D514yescomplemented
692#552—58no—
693#552—54no—
694#552C2×D514yescomplemented
695#551—58no—
696#551—58no—
697#551—58no—
698#551—58no—
699#551—58no—
700#551—58no—
701#550—54no—
702D4×Q8—54no—
703#548—58no—
704#547—54no—
705#547—54no—
706#547—54no—
707#547C2×D514yescomplemented
708#546—58no—
709#546—58no—
710#546—58no—
711#546—54no—
712#546—54no—
713#546—54no—
714#546—58no—
715#546—54no—
716#546—54no—
717#546—54no—
718#546—58no—
719D42—54no—
720D42—54no—
721D42—54no—
722D42—54no—
723D42—54no—
724#544—51no—
725#544C2×D511yescharacteristic, complemented
726#543—54no—
727#542—54no—
728#542—54no—
729#540—54no—
730#540—54no—
731#539—58no—
732#539—58no—
733#539—54no—
734#539C2×D514yescomplemented
735#538—58no—
736#538—58no—
737#538—54no—
738#538—54no—
739#538—58no—
740#537—51no—
741#537C2×D511yescharacteristic, complemented
742#535—52no—
743#535—52no—
744#534—58no—
745#534—54no—
746#533—52no—
747#533—52no—
748#533—52no—
749#532—52no—
750#532—54no—
751#532—52no—
752#532—52no—
753#532—54no—
754#529—58no—
755#529—58no—
756#529—54no—
757#529—54no—
758#529—54no—
759#529—52no—
760#529—52no—
761#529—54no—
762#529—52no—
763#529—52no—
764#529—54no—
765#529—54no—
766#525—54no—
767#525—54no—
768#525—52no—
769#525—58no—
770#525—58no—
771#525—54no—
772#525—54no—
773#525—58no—
774#525—54no—
775#525—54no—
776#525—54no—
777#525—54no—
778#525—58no—
779#525—58no—
780#525—54no—
781#525C2×D514yescomplemented
782#525C2×D512yescomplemented
783C2×#123—58no—
784C2×C22⋊Q8—54no—
785C2×C22⋊Q8—54no—
786C2×#121—54no—
787C2×#121—54no—
788C2×#120—58no—
789#520—54no—
790#520—52no—
791#520—54no—
792#520C2×D512yescomplemented
793#518—58no—
794#518—54no—
795#518—52no—
796#518—54no—
797C4×#41—52no—
798C4×#41—54no—
799C4×#41—54no—
800C4×#41—54no—
801C4×#41—52no—
802C4×#41—54no—
803C2×C4×D4—58no—
804C2×C4×D4—58no—
805C2×C4×D4—54no—
806C2×C4×D4—51no—
807C2×C4×D4—51no—
808C2×C4×D4—52no—
809C2×C4×D4—51no—
810C2×C4×D4—54no—
811C2×C4×D4—54no—
812C2×C4×D4—52no—
813C2×C4×D4—51no—
814C2×C4×D4—54no—
815C2×C4×D4—54no—
816C2×C4×D4—54no—
817C2×#117—54no—
818C22×C4⋊C4C2×D511yescharacteristic, complemented
819C22×C22⋊C4—52no—
820C22×C42—51no—
821C23×C5—22no—
822C23×C5—22no—
823C23×C5—22no—
824C23×C5C2514yes—
825C23×C5C2511yescharacteristic
826C23×C5C2511yescharacteristic
827C23×C5C2511yescharacteristic
828C22×D5—24no—
829C22×D5—28no—
830C22×D5—28no—
831C22×D5—28no—
832C22×D5—28no—
833C22×D5—216no—
834C22×D5—42no—
835C22×D5—44no—
836C22×D5—42no—
837C22×D5—42no—
838C22×D5—44no—
839C22×D5—42no—
840C22×D5—48no—
841C22×D5—48no—
842C22×D5—432no—
843C22×D5C2×#4118yescomplemented
844C22×D5C2514yes—
845C22×D5C2514yes—
846C22×D5C2514yes—
847C5×Q8—24no—
848C5×Q8—44no—
849C5×D4—28no—
850C5×D4—28no—
851C5×D4—28no—
852C5×D4—24no—
853C5×D4—44no—
854C2×C4×C5—22no—
855C2×C4×C5—28no—
856C2×C4×C5—24no—
857C2×C4×C5—24no—
858C2×C4×C5—28no—
859C2×C4×C5—42no—
860C2×C4×C5—44no—
861C2×C4×C5—42no—
862C2×C4×C5—48no—
863C2×C4×C5C2×#4114yescomplemented
864C2×C4×C5C2512yes—
865C2×C4×C5C2514yes—
866C2×C4×C5C2514yes—
867C2×C4×C5C2514yes—
868C2×C4×C5C2514yes—
869C2×C4×C5C2514yes—
870C2×C4×C5C2512yes—
871C22⋊D5—28no—
872C22⋊D5—28no—
873C22⋊D5—28no—
874C22⋊D5—216no—
875C22⋊D5—28no—
876C22⋊D5—48no—
877C22⋊D5—48no—
878C22⋊D5—44no—
879C2×Dic5—22no—
880C2×Dic5—24no—
881C2×Dic5—22no—
882C2×Dic5—22no—
883C2×Dic5—22no—
884C2×Dic5—22no—
885C2×Dic5—28no—
886C2×Dic5—44no—
887C2×Dic5—41no—
888C2×Dic5—42no—
889C2×Dic5—41no—
890C2×Dic5H(5,𝔽2)14yescomplemented
891C2×Dic5C2512yes—
892C2×Dic5C2514yes—
893C2×Dic5C2512yes—
894C2×Dic5C2514yes—
895C2×Dic5C2511yescharacteristic
896C2×Dic5C2511yescharacteristic
897C2×Dic5C2514yes—
898C2×Dic5C2511yescharacteristic
899C2×Dic5C2511yescharacteristic
900D20—216no—
901D20—216no—
902D20—28no—
903D20—24no—
904D20—48no—
905D20—44no—
906D20—48no—
907D20C2×#41116yescomplemented
908C4×D5—216no—
909C4×D5—28no—
910C4×D5—28no—
911C4×D5—28no—
912C4×D5—28no—
913C4×D5—28no—
914C4×D5—28no—
915C4×D5—44no—
916C4×D5—44no—
917C4×D5—44no—
918C4×D5—44no—
919C4×D5—48no—
920C4×D5—48no—
921C4×D5—48no—
922C4×D5—44no—
923Dic10—24no—
924Dic10—28no—
925Dic10—44no—
926Dic10—44no—
927C25—52no—
928H(5,𝔽2)—1016no—
929C2×#41—54no—
930C2×#41—54no—
931C2×#41—54no—
932C2×#41—54no—
933C2×#41—54no—
934C2×#41—52no—
935C2×#41—54no—
936C2×#41—54no—
937C2×#41—58no—
938C2×#41—2016no—
939C2×#41C22×D512yes—
940C2×#41C22×D514yes—
941C22×Q8—54no—
942C22×D4—58no—
943C22×D4—54no—
944C22×D4—58no—
945C22×D4—58no—
946C22×D4—54no—
947C22×D4—51no—
948C22×D4—52no—
949C22×D4—51no—
950C22×D4—54no—
951C22×D4—54no—
952C22×D4—54no—
953C22×D4—108no—
954C23×C4—51no—
955C23×C4—51no—
956C23×C4—54no—
957C23×C4—52no—
958C23×C4—54no—
959C23×C4—58no—
960C23×C4—52no—
961C23×C4—54no—
962C23×C4—54no—
963C23×C4—52no—
964C23×C4—52no—
965C23×C4—208no—
966C23×C4C22×D511yescharacteristic
967C23×C4C22×D512yes—
968C4⋊Q8—52no—
969C4⋊Q8—52no—
970C4⋊Q8—52no—
971C4⋊Q8—54no—
972C4⋊Q8C22×D514yescomplemented
973#127—52no—
974#127—54no—
975#127—54no—
976#126—54no—
977#126—54no—
978#126—58no—
979#126—58no—
980#126—58no—
981#126—58no—
982#126—54no—
983#126—54no—
984#126—58no—
985#126C22×D518yescomplemented
986#125—54no—
987#125—54no—
988#125—52no—
989#125—52no—
990#125—58no—
991#125—54no—
992#125C22×D518yescomplemented
993#125C22×D514yescomplemented
994#124—52no—
995#124—54no—
996#124—58no—
997#124—52no—
998#124—54no—
999#124—54no—
1000#124—58no—
1001#124—58no—
1002#124—54no—
1003#124—58no—
1004#123—54no—
1005#123—54no—
1006#123—58no—
1007#123—54no—
1008#123—58no—
1009#123—58no—
1010#123—58no—
1011#123—58no—
1012#123—58no—
1013#123—58no—
1014#123—58no—
1015#123—58no—
1016#123—58no—
1017#123—54no—
1018#123—58no—
1019#123—58no—
1020#123—54no—
1021#123—58no—
1022#123—58no—
1023#123C22×D518yes—
1024#123C22×D514yes—
1025#123C22×D518yescomplemented
1026C22⋊Q8—54no—
1027C22⋊Q8—54no—
1028C22⋊Q8—58no—
1029C22⋊Q8—54no—
1030C22⋊Q8—54no—
1031C22⋊Q8—52no—
1032C22⋊Q8—52no—
1033C22⋊Q8—54no—
1034C22⋊Q8—58no—
1035C22⋊Q8—58no—
1036C22⋊Q8—54no—
1037C22⋊Q8—58no—
1038C22⋊Q8—58no—
1039C22⋊Q8—54no—
1040C22⋊Q8—58no—
1041C22⋊Q8—58no—
1042C22⋊Q8—54no—
1043C22⋊Q8—54no—
1044C22⋊Q8—54no—
1045C22⋊Q8—54no—
1046C22⋊Q8C22×D514yes—
1047C22⋊Q8C22×D514yes—
1048C22⋊Q8C22×D512yes—
1049C22⋊Q8C22×D512yes—
1050C22⋊Q8C22×D518yescomplemented
1051C22⋊Q8C22×D514yescomplemented
1052#121—54no—
1053#121—54no—
1054#121—54no—
1055#121—54no—
1056#121—54no—
1057#121—54no—
1058#121—58no—
1059#121—54no—
1060#121—54no—
1061#121—52no—
1062#121—52no—
1063#121—58no—
1064#121—54no—
1065#121—54no—
1066#121—54no—
1067#121—54no—
1068#121—58no—
1069#121—58no—
1070#121—54no—
1071#121—54no—
1072#121—54no—
1073#121—58no—
1074#121—58no—
1075#121—58no—
1076#121—58no—
1077#121—58no—
1078#121—58no—
1079#121C22×D514yes—
1080#121C22×D514yes—
1081#121C22×D512yes—
1082#121C22×D512yes—
1083#121C22×D514yescomplemented
1084#120—54no—
1085#120—58no—
1086#120—58no—
1087#120—58no—
1088#120—58no—
1089#120—58no—
1090#120—58no—
1091#120—58no—
1092#120—58no—
1093#120—58no—
1094#120—58no—
1095#120C22×D514yes—
1096C4×Q8—52no—
1097C4×Q8—52no—
1098C4×Q8—52no—
1099C4×Q8—52no—
1100C4×Q8—54no—
1101C4×Q8—54no—
1102C4×Q8—54no—
1103C4×Q8—54no—
1104C4×Q8—54no—
1105C4×Q8C22×D514yescomplemented
1106C4×D4—54no—
1107C4×D4—54no—
1108C4×D4—52no—
1109C4×D4—54no—
1110C4×D4—52no—
1111C4×D4—54no—
1112C4×D4—58no—
1113C4×D4—58no—
1114C4×D4—58no—
1115C4×D4—58no—
1116C4×D4—58no—
1117C4×D4—54no—
1118C4×D4—54no—
1119C4×D4—54no—
1120C4×D4—54no—
1121C4×D4—54no—
1122C4×D4—54no—
1123C4×D4—58no—
1124C4×D4—54no—
1125C4×D4—58no—
1126C4×D4—54no—
1127C4×D4—54no—
1128C4×D4—54no—
1129C4×D4—58no—
1130C4×D4—54no—
1131C4×D4—58no—
1132C4×D4—54no—
1133C4×D4—58no—
1134C4×D4—52no—
1135C4×D4—54no—
1136C4×D4—58no—
1137C4×D4—54no—
1138C4×D4—58no—
1139C4×D4—52no—
1140C4×D4—54no—
1141C4×D4—54no—
1142C4×D4—54no—
1143C4×D4—58no—
1144C4×D4—58no—
1145C4×D4—54no—
1146C4×D4—58no—
1147C4×D4—54no—
1148C4×D4—54no—
1149C4×D4—54no—
1150C4×D4—58no—
1151C4×D4—54no—
1152C4×D4—58no—
1153C4×D4—54no—
1154C4×D4—58no—
1155C4×D4C22×D518yes—
1156C4×D4C22×D518yes—
1157C4×D4C22×D514yes—
1158C4×D4C22×D514yes—
1159C4×D4C22×D514yescomplemented
1160#117—54no—
1161#117—52no—
1162#117—54no—
1163#117—54no—
1164#117—54no—
1165#117—58no—
1166#117—54no—
1167#117—54no—
1168#117—54no—
1169#117—54no—
1170#117—54no—
1171#117—54no—
1172#117—54no—
1173#117—58no—
1174#117—54no—
1175#117—58no—
1176#117C22×D514yes—
1177#117C22×D512yes—
1178#117C22×D514yescomplemented
1179C2×C4⋊C4—54no—
1180C2×C4⋊C4—54no—
1181C2×C4⋊C4—58no—
1182C2×C4⋊C4—54no—
1183C2×C4⋊C4—58no—
1184C2×C4⋊C4C22×D511yescharacteristic
1185C2×C4⋊C4C22×D511yescharacteristic
1186C2×C4⋊C4C22×D512yes—
1187C2×C4⋊C4C22×D514yes—
1188C2×C4⋊C4C22×D514yes—
1189C2×C4⋊C4C22×D514yescomplemented
1190C2×C22⋊C4—52no—
1191C2×C22⋊C4—52no—
1192C2×C22⋊C4—52no—
1193C2×C22⋊C4—52no—
1194C2×C22⋊C4—58no—
1195C2×C22⋊C4—58no—
1196C2×C22⋊C4—58no—
1197C2×C22⋊C4—58no—
1198C2×C22⋊C4—58no—
1199C2×C22⋊C4—58no—
1200C2×C22⋊C4—58no—
1201C2×C22⋊C4—58no—
1202C2×C22⋊C4—58no—
1203C2×C42—51no—
1204C2×C42—52no—
1205C2×C42—52no—
1206C2×C42—51no—
1207C2×C42—52no—
1208C2×C42—51no—
1209C2×C42—52no—
1210C2×C42—51no—
1211C2×C42—54no—
1212C2×C42—58no—
1213C2×C42—54no—
1214C22×C5—28no—
1215C22×C5—21no—
1216C22×C5—21no—
1217C22×C5—21no—
1218C22×C5—21no—
1219C22×C5—21no—
1220C22×C5—21no—
1221C22×C5—24no—
1222C22×C5—24no—
1223C22×C5—24no—
1224C22×C5C22×#4112yes—
1225C22×C5C2×H(5,𝔽2)12yes—
1226C22×C5#58512yes—
1227C22×C5C2611yescharacteristic
1228C2×D5—24no—
1229C2×D5—24no—
1230C2×D5—24no—
1231C2×D5—24no—
1232C2×D5—24no—
1233C2×D5—24no—
1234C2×D5—24no—
1235C2×D5—24no—
1236C2×D5—48no—
1237C2×D5—416no—
1238C2×D5—416no—
1239C2×D5—48no—
1240C2×D5—816no—
1241C2×D5C22×#4118yes—
1242C4×C5—24no—
1243C4×C5—22no—
1244C4×C5—24no—
1245C4×C5—24no—
1246C4×C5—24no—
1247C4×C5—24no—
1248C4×C5C22×#4114yes—
1249Dic5—24no—
1250Dic5—24no—
1251Dic5—21no—
1252Dic5—21no—
1253Dic5—22no—
1254Dic5—24no—
1255Dic5—22no—
1256Dic5C2×H(5,𝔽2)12yes—
1257Dic5C2×H(5,𝔽2)12yes—
1258C24—52no—
1259C24—54no—
1260C24—54no—
1261C24—58no—
1262C24—52no—
1263C24—108no—
1264C24—204no—
1265C24—204no—
1266C24C23×D511yescharacteristic
1267#41—28no—
1268#41—48no—
1269#41—1016no—
1270#41—1016no—
1271#41—1016no—
1272#41—108no—
1273#41—208no—
1274#41—2016no—
1275#41—208no—
1276#41—208no—
1277#41—208no—
1278C2×Q8—52no—
1279C2×Q8—54no—
1280C2×Q8—54no—
1281C2×Q8—54no—
1282C2×Q8—208no—
1283C2×Q8C23×D512yes—
1284C2×Q8C23×D514yes—
1285C2×D4—58no—
1286C2×D4—54no—
1287C2×D4—54no—
1288C2×D4—54no—
1289C2×D4—54no—
1290C2×D4—54no—
1291C2×D4—58no—
1292C2×D4—58no—
1293C2×D4—58no—
1294C2×D4—54no—
1295C2×D4—58no—
1296C2×D4—58no—
1297C2×D4—54no—
1298C2×D4—52no—
1299C2×D4—58no—
1300C2×D4—58no—
1301C2×D4—54no—
1302C2×D4—1016no—
1303C2×D4—1016no—
1304C2×D4—1016no—
1305C2×D4—108no—
1306C2×D4—1016no—
1307C2×D4—1032no—
1308C2×D4—104no—
1309C2×D4—208no—
1310C2×D4—2016no—
1311C2×D4—2016no—
1312C2×D4C23×D514yes—
1313C2×D4C23×D512yes—
1314C2×D4C23×D514yes—
1315C2×D4C23×D514yes—
1316C2×D4C23×D514yes—
1317C22×C4—24no—
1318C22×C4—44no—
1319C22×C4—51no—
1320C22×C4—52no—
1321C22×C4—51no—
1322C22×C4—51no—
1323C22×C4—51no—
1324C22×C4—51no—
1325C22×C4—51no—
1326C22×C4—54no—
1327C22×C4—51no—
1328C22×C4—52no—
1329C22×C4—51no—
1330C22×C4—54no—
1331C22×C4—54no—
1332C22×C4—58no—
1333C22×C4—54no—
1334C22×C4—54no—
1335C22×C4—54no—
1336C22×C4—54no—
1337C22×C4—54no—
1338C22×C4—58no—
1339C22×C4—54no—
1340C22×C4—54no—
1341C22×C4—54no—
1342C22×C4—58no—
1343C22×C4—58no—
1344C22×C4—54no—
1345C22×C4—54no—
1346C22×C4—1016no—
1347C22×C4—104no—
1348C22×C4—208no—
1349C22×C4—204no—
1350C22×C4—208no—
1351C22×C4—204no—
1352C22×C4—208no—
1353C22×C4—204no—
1354C22×C4—204no—
1355C22×C4—2016no—
1356C22×C4—202no—
1357C22×C4C23×D512yes—
1358C22×C4C23×D512yes—
1359C22×C4C23×D511yescharacteristic
1360C22×C4C23×D514yes—
1361C22×C4C23×D514yes—
1362C22×C4C23×D512yes—
1363C22×C4C23×D514yes—
1364C22×C4C23×D512yes—
1365C22×C4C23×D518yes—
1366C22×C4C23×D511yescharacteristic
1367C4⋊C4—54no—
1368C4⋊C4—54no—
1369C4⋊C4—52no—
1370C4⋊C4—54no—
1371C4⋊C4—54no—
1372C4⋊C4—58no—
1373C4⋊C4—54no—
1374C4⋊C4—54no—
1375C4⋊C4—54no—
1376C4⋊C4—54no—
1377C4⋊C4—58no—
1378C4⋊C4—52no—
1379C4⋊C4—54no—
1380C4⋊C4—54no—
1381C4⋊C4—54no—
1382C4⋊C4—54no—
1383C4⋊C4—54no—
1384C4⋊C4—54no—
1385C4⋊C4—54no—
1386C4⋊C4—54no—
1387C4⋊C4C23×D514yes—
1388C4⋊C4C23×D518yes—
1389C4⋊C4C23×D514yes—
1390C4⋊C4C23×D514yes—
1391C4⋊C4C23×D518yes—
1392C4⋊C4C23×D514yes—
1393C4⋊C4C23×D518yes—
1394C4⋊C4C23×D512yes—
1395C4⋊C4C23×D514yes—
1396C4⋊C4C23×D514yes—
1397C4⋊C4C23×D512yes—
1398C22⋊C4—54no—
1399C22⋊C4—54no—
1400C22⋊C4—54no—
1401C22⋊C4—54no—
1402C22⋊C4—54no—
1403C22⋊C4—54no—
1404C22⋊C4—54no—
1405C22⋊C4—58no—
1406C22⋊C4—58no—
1407C22⋊C4—58no—
1408C22⋊C4—58no—
1409C22⋊C4—58no—
1410C22⋊C4—58no—
1411C22⋊C4—58no—
1412C22⋊C4—54no—
1413C22⋊C4—54no—
1414C22⋊C4—54no—
1415C22⋊C4—58no—
1416C22⋊C4—58no—
1417C22⋊C4—58no—
1418C22⋊C4—58no—
1419C22⋊C4—58no—
1420C22⋊C4—54no—
1421C22⋊C4—54no—
1422C22⋊C4—54no—
1423C22⋊C4C23×D514yes—
1424C22⋊C4C23×D514yes—
1425C22⋊C4C23×D514yes—
1426C22⋊C4C23×D518yes—
1427C22⋊C4C23×D518yes—
1428C22⋊C4C23×D514yes—
1429C22⋊C4C23×D514yes—
1430C42—52no—
1431C42—52no—
1432C42—54no—
1433C42—54no—
1434C42—52no—
1435C42—52no—
1436C42—52no—
1437C42—52no—
1438C42—52no—
1439C42—52no—
1440C42—58no—
1441C42—54no—
1442C42—54no—
1443C42—54no—
1444C42C23×D518yes—
1445C42C23×D514yes—
1446C2×C5—22no—
1447C2×C5—22no—
1448C2×C5—22no—
1449C2×C5—44no—
1450C2×C5C23×#4111yescharacteristic
1451C2×C5C22×H(5,𝔽2)11yescharacteristic
1452C2×C5C2×#58511yescharacteristic
1453D5—28no—
1454D5—44no—
1455D5—44no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—54no—
1460C23—58no—
1461C23—54no—
1462C23—54no—
1463C23—108no—
1464C23—108no—
1465C23—1016no—
1466C23—104no—
1467C23—108no—
1468C23—108no—
1469C23—202no—
1470C23—204no—
1471C23—202no—
1472C23—202no—
1473C23—204no—
1474C23—202no—
1475C23—208no—
1476C23—208no—
1477C23—2032no—
1478C23C24×D514yes—
1479C23C24×D511yescharacteristic
1480C23C24×D511yescharacteristic
1481C23C24×D511yescharacteristic
1482Q8—24no—
1483Q8—44no—
1484Q8—108no—
1485Q8—104no—
1486Q8—204no—
1487Q8—204no—
1488D4—28no—
1489D4—28no—
1490D4—28no—
1491D4—24no—
1492D4—44no—
1493D4—516no—
1494D4—1016no—
1495D4—1016no—
1496D4—108no—
1497D4—1016no—
1498D4—108no—
1499D4—108no—
1500D4—108no—
1501D4—108no—
1502D4—104no—
1503D4—204no—
1504D4—208no—
1505D4—208no—
1506D4—208no—
1507D4—208no—
1508D4—204no—
1509C2×C4—22no—
1510C2×C4—28no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—28no—
1514C2×C4—42no—
1515C2×C4—44no—
1516C2×C4—42no—
1517C2×C4—48no—
1518C2×C4—54no—
1519C2×C4—51no—
1520C2×C4—51no—
1521C2×C4—52no—
1522C2×C4—52no—
1523C2×C4—54no—
1524C2×C4—54no—
1525C2×C4—51no—
1526C2×C4—51no—
1527C2×C4—54no—
1528C2×C4—108no—
1529C2×C4—108no—
1530C2×C4—108no—
1531C2×C4—108no—
1532C2×C4—108no—
1533C2×C4—1016no—
1534C2×C4—102no—
1535C2×C4—102no—
1536C2×C4—102no—
1537C2×C4—102no—
1538C2×C4—108no—
1539C2×C4—102no—
1540C2×C4—104no—
1541C2×C4—108no—
1542C2×C4—204no—
1543C2×C4—204no—
1544C2×C4—204no—
1545C2×C4—204no—
1546C2×C4—208no—
1547C2×C4—208no—
1548C2×C4—208no—
1549C2×C4—204no—
1550C2×C4—201no—
1551C2×C4—202no—
1552C2×C4—201no—
1553C2×C4—204no—
1554C2×C4D5×#4114yescomplemented
1555C2×C4C24×D512yes—
1556C2×C4C24×D514yes—
1557C2×C4C24×D514yes—
1558C2×C4C24×D514yes—
1559C2×C4C24×D514yes—
1560C2×C4C24×D514yes—
1561C2×C4C24×D512yes—
1562C5#6277311yescharacteristic, complemented, Sylow
1563C22—28no—
1564C22—21no—
1565C22—21no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—24no—
1571C22—24no—
1572C22—24no—
1573C22—58no—
1574C22—104no—
1575C22—104no—
1576C22—104no—
1577C22—104no—
1578C22—104no—
1579C22—104no—
1580C22—104no—
1581C22—104no—
1582C22—208no—
1583C22—2016no—
1584C22—2016no—
1585C22—208no—
1586C22—4016no—
1587C22C2×D5×#4112yes—
1588C22D5×H(5,𝔽2)12yes—
1589C22#6628712yes—
1590C22C25×D511yescharacteristic
1591C4—22no—
1592C4—24no—
1593C4—24no—
1594C4—24no—
1595C4—24no—
1596C4—24no—
1597C4—52no—
1598C4—52no—
1599C4—104no—
1600C4—101no—
1601C4—101no—
1602C4—104no—
1603C4—102no—
1604C4—102no—
1605C4—104no—
1606C4C2×D5×#4114yes—
1607C2—22no—
1608C2—22no—
1609C2—22no—
1610C2—44no—
1611C2—108no—
1612C2—204no—
1613C2—204no—
1614C2C22×D5×#4111yescharacteristic
1615C2C2×D5×H(5,𝔽2)11yescharacteristic
1616C2C2×#6628711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D5
commutator, socle, cosocleC22×C5C26
FittingC5×#3492C2
hypercenter#3492D5
hypocenterC5#62773
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. C5×#3492C2semidirect
2. #10618835C2semidirect
3. #10618825C2semidirect
4. #10618789C2semidirect
5. #10618777C2semidirect
6. #10618735C2semidirect
7. #10618727C2semidirect
8. #10618582C2semidirect
9. #10618575C2semidirect
10. #10618500C2semidirect
11. #10618483C2semidirect
12. #10618355C2semidirect
13. #10618329C2semidirect
14. #10618283C2semidirect
15. #10618265C2semidirect
16. #10617944C2semidirect
17. #10617940C2semidirect
18. D5×#525C2semidirect
19. #10617919C2semidirect
20. #10617792C2semidirect
21. #10617787C2semidirect
22. #10617619C2semidirect
23. C22×#4039C2semidirect
25. C2×D5×#41C22semidirect
27. C23×C4×D5C22semidirect
28. C5×#554C22semidirect
29. C5×#553C22semidirect
30. C5×#552C22semidirect
31. C5×#547C22semidirect
32. C5×#544C22semidirect
33. C5×#539C22semidirect
34. C5×#537C22semidirect
35. C5×#525C22semidirect
36. C5×#525C22semidirect
37. C5×#520C22semidirect
38. C22×C5×C4⋊C4C22semidirect
39. #66166C22semidirect
40. #66164C22semidirect
41. #66163C22semidirect
42. #66162C22semidirect
43. #41×Dic5C22semidirect
44. #66125C22semidirect
45. #66125C22semidirect
46. C22×#685C22semidirect
47. C22×C4×Dic5C22semidirect
48. #66067C22semidirect
49. #66064C22semidirect
50. #66061C22semidirect
51. #66059C22semidirect
52. #66043C22semidirect
53. #66040C22semidirect
54. #66039C22semidirect
55. #66038C22semidirect
56. #66032C22semidirect
57. #66029C22semidirect
58. #66027C22semidirect
59. #66026C22semidirect
60. #66025C22semidirect
61. #66025C22semidirect
62. #66024C22semidirect
63. #66024C22semidirect
64. #65995C22semidirect
65. #65992C22semidirect
66. #65991C22semidirect
67. #65990C22semidirect
68. #65990C22semidirect
69. #65988C22semidirect
70. #65988C22semidirect
71. #65987C22semidirect
72. D5×#123C22semidirect
73. #65983C22semidirect
74. #65983C22semidirect
75. #65978C22semidirect
76. #65977C22semidirect
77. #65972C22semidirect
78. #65971C22semidirect
79. #65971C22semidirect
80. #65968C22semidirect
81. #65967C22semidirect
82. #65965C22semidirect
83. #65964C22semidirect
84. #65964C22semidirect
85. #65964C22semidirect
86. #65961C22semidirect
87. #65961C22semidirect
88. #65961C22semidirect
89. D5×C22⋊Q8C22semidirect
90. D5×C22⋊Q8C22semidirect
91. #65958C22semidirect
92. #65958C22semidirect
93. #65958C22semidirect
94. #65956C22semidirect
95. #65956C22semidirect
96. #65953C22semidirect
97. #65951C22semidirect
98. #65946C22semidirect
99. #65944C22semidirect
100. #65943C22semidirect
101. #65943C22semidirect
102. #65943C22semidirect
103. #65940C22semidirect
104. #65940C22semidirect
105. #65939C22semidirect
106. D5×#121C22semidirect
107. D5×#121C22semidirect
108. #65934C22semidirect
109. #65934C22semidirect
110. #65930C22semidirect
111. #65930C22semidirect
112. #65930C22semidirect
113. D5×#120C22semidirect
114. #65920C22semidirect
115. #65920C22semidirect
116. #65919C22semidirect
117. #65908C22semidirect
118. C4×#713C22semidirect
119. #65902C22semidirect
120. #65894C22semidirect
121. #65893C22semidirect
122. #65890C22semidirect
123. #65888C22semidirect
124. #65887C22semidirect
125. #65884C22semidirect
126. #65884C22semidirect
127. D4×D20C22semidirect
128. D4×D20C22semidirect
129. #65881C22semidirect
130. #65881C22semidirect
131. #65879C22semidirect
132. #65879C22semidirect
133. C4×D4×D5C22semidirect
134. C4×D4×D5C22semidirect
135. C4×D4×D5C22semidirect
136. #65872C22semidirect
137. #65872C22semidirect
138. C4×#711C22semidirect
139. C4×#711C22semidirect
140. #65866C22semidirect
141. #65864C22semidirect
142. #65861C22semidirect
143. #65859C22semidirect
144. #65858C22semidirect
145. #65856C22semidirect
146. #65856C22semidirect
148. #65855C22semidirect
149. D5×#117C22semidirect
150. #65851C22semidirect
151. #65849C22semidirect
152. #65848C22semidirect
153. #65848C22semidirect
154. #65847C22semidirect
155. #65845C22semidirect
156. #65844C22semidirect
157. #65841C22semidirect
158. #65841C22semidirect
159. #65838C22semidirect
160. #65838C22semidirect
163. C2×#4039C22semidirect
164. C2×#4039C22semidirect
165. C2×#4039C22semidirect
166. C2×#4039C22semidirect
167. C2×#4039C22semidirect
168. C2×#4039C22semidirect
169. C2×#4039C22semidirect
170. C2×#4039C22semidirect
171. C2×#4039C22semidirect
172. #65834C22semidirect
184. C2×#713C23semidirect
185. C2×Q8×D5C23semidirect
188. C2×#711C23semidirect
193. C2×D4×D5C23semidirect
197. C2×#709C23semidirect
214. C22×C4×D5C23semidirect
215. C5×C4⋊Q8C23semidirect
216. C5×#126C23semidirect
217. C5×#125C23semidirect
218. C5×#125C23semidirect
221. C5×#123C23semidirect
226. C5×C22⋊Q8C23semidirect
227. C5×C22⋊Q8C23semidirect
232. C5×#121C23semidirect
234. C4×C5×Q8C23semidirect
239. C4×C5×D4C23semidirect
242. C5×#117C23semidirect
248. C2×C5×C4⋊C4C23semidirect
251. #4093C23semidirect
252. #4093C23semidirect
253. #4092C23semidirect
254. #4092C23semidirect
255. #4092C23semidirect
256. Q8×Dic5C23semidirect
257. Q8×Dic5C23semidirect
258. #4090C23semidirect
260. #4086C23semidirect
265. #4085C23semidirect
266. #4084C23semidirect
267. #4084C23semidirect
271. #4083C23semidirect
272. #4082C23semidirect
279. D4×Dic5C23semidirect
280. D4×Dic5C23semidirect
287. #4076C23semidirect
290. #4075C23semidirect
295. C4×C22⋊D5C23semidirect
296. C4×C22⋊D5C23semidirect
297. C4×C22⋊D5C23semidirect
298. C4×C22⋊D5C23semidirect
299. C4×C22⋊D5C23semidirect
306. C2×#685C23semidirect
309. #4072C23semidirect
322. C2×C4×Dic5C23semidirect
323. #4044C23semidirect
324. #4044C23semidirect
325. #4044C23semidirect
326. #4044C23semidirect
327. #4044C23semidirect
328. #4044C23semidirect
329. #4043C23semidirect
330. #4043C23semidirect
331. #4043C23semidirect
332. #4043C23semidirect
333. #4042C23semidirect
334. #4042C23semidirect
335. #4042C23semidirect
336. #4042C23semidirect
337. #4042C23semidirect
342. #4041C23semidirect
343. #4041C23semidirect
344. #4041C23semidirect
345. #4041C23semidirect
348. #4040C23semidirect
349. #4040C23semidirect
350. #4040C23semidirect
351. #4040C23semidirect
352. #4040C23semidirect
353. #4040C23semidirect
368. #4039C23semidirect
369. #4039C23semidirect
370. #4039C23semidirect
371. #4039C23semidirect
372. #4039C23semidirect
373. #4039C23semidirect
374. #4038C23semidirect
375. #4038C23semidirect
376. #4038C23semidirect
377. #4038C23semidirect
378. #4038C23semidirect
379. #4038C23semidirect
380. D5×C4⋊C4C23semidirect
381. D5×C4⋊C4C23semidirect
382. D5×C4⋊C4C23semidirect
383. D5×C4⋊C4C23semidirect
384. D5×C4⋊C4C23semidirect
385. #4036C23semidirect
386. #4036C23semidirect
387. #4036C23semidirect
388. #4035C23semidirect
389. #4035C23semidirect
390. #4035C23semidirect
391. #4034C23semidirect
392. #4034C23semidirect
393. #4034C23semidirect
394. #4033C23semidirect
395. #4033C23semidirect
396. #4033C23semidirect
397. #4033C23semidirect
398. #4033C23semidirect
401. #4032C23semidirect
402. #4031C23semidirect
403. #4031C23semidirect
404. #4031C23semidirect
405. #4031C23semidirect
408. #4030C23semidirect
409. #4030C23semidirect
410. #4030C23semidirect
411. #4029C23semidirect
412. #4029C23semidirect
413. #4029C23semidirect
419. #4028C23semidirect
424. #4027C23semidirect
425. #4027C23semidirect
426. #4027C23semidirect
427. #4027C23semidirect
428. #4027C23semidirect
432. D5×C22⋊C4C23semidirect
433. D5×C22⋊C4C23semidirect
434. D5×C22⋊C4C23semidirect
435. #4025C23semidirect
436. #4025C23semidirect
443. #4023C23semidirect
444. #4023C23semidirect
445. #4022C23semidirect
447. #4021C23semidirect
451. C4×D20C23semidirect
452. C4×D20C23semidirect
453. C4×D20C23semidirect
454. #4018C23semidirect
455. #4018C23semidirect
456. #4018C23semidirect
457. C42×D5C23semidirect
458. C42×D5C23semidirect
459. C4×Dic10C23semidirect
460. C4×Dic10C23semidirect
470. #3492D5semidirect
556. C2×D20#41semidirect
684. #554C2×D5semidirect
691. #553C2×D5semidirect
694. #552C2×D5semidirect
707. #547C2×D5semidirect
725. #544C2×D5semidirect
734. #539C2×D5semidirect
741. #537C2×D5semidirect
781. #525C2×D5semidirect
782. #525C2×D5semidirect
792. #520C2×D5semidirect
818. C22×C4⋊C4C2×D5semidirect
843. C22×D5C2×#41semidirect
863. C2×C4×C5C2×#41semidirect
890. C2×Dic5H(5,𝔽2)semidirect
907. D20C2×#41semidirect
972. C4⋊Q8C22×D5semidirect
985. #126C22×D5semidirect
992. #125C22×D5semidirect
993. #125C22×D5semidirect
1025. #123C22×D5semidirect
1050. C22⋊Q8C22×D5semidirect
1051. C22⋊Q8C22×D5semidirect
1083. #121C22×D5semidirect
1105. C4×Q8C22×D5semidirect
1159. C4×D4C22×D5semidirect
1178. #117C22×D5semidirect
1189. C2×C4⋊C4C22×D5semidirect
1554. C2×C4D5×#41semidirect
1562. C5#62773semidirect

Maximal subgroups

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

subgroupindex
C5×#34922
#106188352
#106188252
#106187892
#106187772
#106187352
#106187272
#106185822
#106185752
#106185002
#106184832
#106183552
#106183292
#106182832
#106182652
#106179442
#106179402
D5×#5252
#106179192
#106177922
#106177872
#106176192
C22×#40392
#627735