Finite Group Databasebeta

← #13007321

Subgroups — #13007321

Order 1280.

7998 conjugacy classes of subgroups.

The subgroup lattice has 2330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3490C211yesmaximal, characteristic, complemented
2#10618699C214yesmaximal, complemented
3#10618696C214yesmaximal, complemented
4#10618692C214yesmaximal, complemented
5#10618691C214yesmaximal, complemented
6#10618540C214yesmaximal, complemented
7#10618536C214yesmaximal, complemented
8#10618529C214yesmaximal, complemented
9#10618527C214yesmaximal, complemented
10#10618475C211yesmaximal, characteristic, complemented
11#10618473C211yesmaximal, characteristic, complemented
12#10618316C212yesmaximal, complemented
13#10618292C212yesmaximal, complemented
14#10618290C212yesmaximal, complemented
15#10618289C212yesmaximal, complemented
16#10618199C211yesmaximal, characteristic, complemented
17#10618196C211yesmaximal, characteristic, complemented
18#10617944C212yesmaximal, complemented
19D5×#525C212yesmaximal, complemented
20#10617926C212yesmaximal, complemented
21#10617919C212yesmaximal, complemented
22#10617820C212yesmaximal, complemented
23C2×#65920C212yesmaximal, complemented
24#10617762C212yesmaximal, complemented
25#10617758C212yesmaximal, complemented
26#10617598C211yesmaximal, characteristic, complemented
27C22×#4027C211yesmaximal, characteristic, complemented
28C23×C22⋊D5C2211yescharacteristic
29C24×Dic5C2211yescharacteristic, complemented
30C2×D5×#41C2212yescomplemented
31C2×#4144C2212yes—
32C22×#711C2212yescomplemented
33C23×C4×D5C2211yescharacteristic, complemented
34C5×#551C2214yescomplemented
35C5×#551C2214yescomplemented
36C5×#546C2214yescomplemented
37C5×#546C2214yescomplemented
38C5×#543C2211yescharacteristic, complemented
39C5×#538C2212yescomplemented
40C5×#538C2212yescomplemented
41C5×#534C2211yescharacteristic, complemented
42C5×#525C2212yescomplemented
43C5×#525C2212yescomplemented
44C2×C5×#120C2212yescomplemented
45C5×#518C2212yescomplemented
46C22×C5×C22⋊C4C2211yescharacteristic, complemented
47C2×#4099C2212yescomplemented
48#66166C2212yescomplemented
49#66163C2214yescomplemented
50#66162C2212yescomplemented
51#41×Dic5C2212yescomplemented
52#66158C2214yescomplemented
53#66138C2212yescomplemented
54C2×#4085C2212yescomplemented
55C2×#4085C2212yescomplemented
56D4×C22⋊D5C2214yescomplemented
57D4×C22⋊D5C2214yescomplemented
58C2×#4081C2212yescomplemented
59C2×D4×Dic5C2212yescomplemented
60C2×D4×Dic5C2212yescomplemented
61#66125C2212yescomplemented
62#66125C2212yescomplemented
63C22×#685C2211yescharacteristic, complemented
64C22×#683C2211yescharacteristic, complemented
65C22×C4×Dic5C2211yescharacteristic, complemented
66#66044C2214yescomplemented
67#66043C2214yescomplemented
68#66043C2214yescomplemented
69#66042C2214yescomplemented
70#66041C2214yescomplemented
71#66040C2214yescomplemented
72#66040C2214yescomplemented
73#66036C2214yescomplemented
74#66015C2214yescomplemented
75#66014C2214yescomplemented
76#66013C2214yescomplemented
77#66012C2214yescomplemented
78#66011C2214yescomplemented
79#66004C2214yescomplemented
80#66003C2214yescomplemented
81#66002C2214yescomplemented
82#65999C2214yescomplemented
83#65998C2214yescomplemented
84#65997C2214yescomplemented
85#65995C2214yescomplemented
86#65994C2214yescomplemented
87#65992C2214yescomplemented
88#65992C2214yescomplemented
89#65990C2214yescomplemented
90#65990C2214yescomplemented
91#65989C2214yescomplemented
92#65989C2214yescomplemented
93#65989C2214yescomplemented
94#65988C2214yescomplemented
95#65988C2214yescomplemented
96D5×#123C2214yescomplemented
97#65984C2214yescomplemented
98#65983C2214yescomplemented
99#65983C2214yescomplemented
100#65983C2214yescomplemented
101#65983C2214yescomplemented
102#65979C2212yescomplemented
103#65979C2214yescomplemented
104#65978C2212yescomplemented
105#65978C2214yescomplemented
106#65971C2214yescomplemented
107#65970C2214yescomplemented
108#65970C2214yescomplemented
109#65970C2214yescomplemented
110#65969C2214yescomplemented
111#65968C2212yescomplemented
112#65966C2214yescomplemented
113#65961C2212yescomplemented
114#65961C2212yescomplemented
115#65961C2214yescomplemented
116D5×C22⋊Q8C2212yescomplemented
117D5×C22⋊Q8C2212yescomplemented
118#65958C2212yescomplemented
119#65958C2212yescomplemented
120#65958C2214yescomplemented
121#65957C2212yescomplemented
122#65956C2212yescomplemented
123#65956C2212yescomplemented
124#65951C2212yescomplemented
125#65949C2214yescomplemented
126#65948C2214yescomplemented
127#65947C2214yescomplemented
128#65944C2214yescomplemented
129#65944C2214yescomplemented
130#65940C2212yescomplemented
131#65940C2212yescomplemented
132#65940C2214yescomplemented
133#65939C2212yescomplemented
134D5×#121C2212yescomplemented
135D5×#121C2212yescomplemented
136#65936C2212yescomplemented
137#65935C2214yescomplemented
138#65935C2214yescomplemented
139#65934C2212yescomplemented
140#65934C2212yescomplemented
141#65933C2214yescomplemented
142#65931C2212yescomplemented
143#65930C2212yescomplemented
144#65930C2212yescomplemented
145#65930C2214yescomplemented
146#65927C2214yescomplemented
147#65926C2214yescomplemented
148#65925C2214yescomplemented
149#65925C2214yescomplemented
150#65925C2214yescomplemented
151#65924C2214yescomplemented
152#65924C2214yescomplemented
153#65924C2214yescomplemented
154#65923C2214yescomplemented
155D5×#120C2214yescomplemented
156#65920C2214yescomplemented
157#65920C2214yescomplemented
158#65920C2214yescomplemented
159#65920C2214yescomplemented
160#65920C2214yescomplemented
161#65920C2214yescomplemented
162#65920C2214yescomplemented
163#65920C2214yescomplemented
164#65920C2214yescomplemented
165#65920C2214yescomplemented
166#65899C2214yescomplemented
167#65898C2214yescomplemented
168#65894C2214yescomplemented
169#65890C2214yescomplemented
170#65888C2214yescomplemented
171#65886C2214yescomplemented
172#65881C2214yescomplemented
173#65881C2214yescomplemented
174#65880C2214yescomplemented
175#65880C2214yescomplemented
176#65879C2214yescomplemented
177#65879C2214yescomplemented
178C4×D4×D5C2214yescomplemented
179C4×D4×D5C2214yescomplemented
180C4×D4×D5C2214yescomplemented
181#65874C2214yescomplemented
182#65874C2214yescomplemented
183#65874C2214yescomplemented
184#65873C2214yescomplemented
185#65872C2214yescomplemented
186#65872C2214yescomplemented
187C4×#711C2214yescomplemented
188C4×#711C2214yescomplemented
189C4×#711C2214yescomplemented
190#65865C2214yescomplemented
191#65865C2214yescomplemented
192#65861C2214yescomplemented
193#65861C2214yescomplemented
194#65858C2212yescomplemented
195#65857C2214yescomplemented
196#65856C2212yescomplemented
197#65856C2214yescomplemented
198D5×#117C2212yescomplemented
199#65851C2212yescomplemented
200#65829C2214yescomplemented
201#65829C2214yescomplemented
202#65829C2214yescomplemented
203#65828C2212yescomplemented
204#65828C2212yescomplemented
205#65827C2212yescomplemented
206#65827C2211yescharacteristic, complemented
207C2×#4032C2212yescomplemented
208#65824C2214yescomplemented
209#65824C2214yescomplemented
210#65824C2214yescomplemented
211#65824C2214yescomplemented
212#65824C2214yescomplemented
213#65820C2212yes—
214#65820C2212yescomplemented
215#65820C2214yescomplemented
216C2×#4027C2211yescharacteristic
217C2×#4027C2211yescharacteristic
218C2×#4027C2214yescomplemented
219C2×#4027C2214yescomplemented
220C2×#4027C2214yescomplemented
221C2×#4027C2214yescomplemented
222C2×#4027C2211yescharacteristic, complemented
223C2×#4027C2211yescharacteristic, complemented
224C2×#4027C2211yescharacteristic, complemented
225C2×#4027C2211yescharacteristic, complemented
226C2×#4027C2211yescharacteristic, complemented
227C2×#4027C2211yescharacteristic, complemented
228C2×#4027C2212yescomplemented
229C2×#4027C2212yescomplemented
230C2×#4027C2214yescomplemented
231#65817C2211yescharacteristic, complemented
232C2×#4024C2212yescomplemented
233C2×#4024C2212yescomplemented
234C2×#4023C2212yescomplemented
235#62773—51nomaximal, Sylow
236C25×C5C2311yescharacteristic
237C24×D5C2311yescharacteristic
238C2×C5×#41C2312yes—
239C2×C5×#41C2312yes—
240C22×C5×D4C2312yes—
241C22×C5×D4C2312yes—
242C22×C5×D4C2312yes—
243C23×C4×C5C2311yescharacteristic
244C23×C4×C5C2311yescharacteristic
245C22×C22⋊D5—28no—
246C22×C22⋊D5C2314yes—
247C22×C22⋊D5C2314yes—
248C22×C22⋊D5C2311yescharacteristic
249C22×C22⋊D5C2311yescharacteristic
250C22×C22⋊D5C2311yescharacteristic
251C22×C22⋊D5C2312yes—
252C22×C22⋊D5C2314yes—
253C22×C22⋊D5C2312yes—
254C22×C22⋊D5C2312yes—
255C22×C22⋊D5C2311yescharacteristic
256C22×C22⋊D5C2312yescomplemented
257C23×Dic5—44no—
258C23×Dic5C2312yes—
259C23×Dic5C2311yescharacteristic
260C23×Dic5C2311yescharacteristic
261C23×Dic5C2311yescharacteristic
262C23×Dic5C2312yes—
263C23×Dic5C2311yescharacteristic
264C23×Dic5C2312yes—
265C23×Dic5C2312yes—
266C23×Dic5C2311yescharacteristic
267C23×Dic5C2311yescharacteristic
268C23×Dic5C2311yescharacteristic
269C23×Dic5C2312yescomplemented
270D5×#41—48no—
271C2×#713C2312yescomplemented
272C2×Q8×D5C2312yescomplemented
273#4144—216no—
274C2×#711—48no—
275C2×#711C2314yes—
276C2×#711C2314yes—
277C2×#711C2314yes—
278C2×#711C2314yes—
279C2×#711C2312yescomplemented
280C2×#711C2314yescomplemented
281C2×#711C2314yescomplemented
282C2×D4×D5C2314yes—
283C2×D4×D5C2314yes—
284C2×D4×D5C2314yes—
285C2×D4×D5C2314yes—
286C2×D4×D5C2312yescomplemented
287C2×#709C2314yes—
288C2×#709C2312yes—
289C2×#709C2312yes—
290C2×#709C2314yescomplemented
291C22×C4×D5—44no—
292C22×C4×D5C2312yes—
293C22×C4×D5C2311yescharacteristic
294C22×C4×D5C2311yescharacteristic
295C22×C4×D5C2312yes—
296C22×C4×D5C2312yes—
297C22×C4×D5C2311yescharacteristic
298C22×C4×D5C2312yes—
299C22×C4×D5C2311yescharacteristic
300C22×C4×D5C2312yescomplemented
301C22×C4×D5C2314yescomplemented
302C22×Dic10C2312yescomplemented
303C5×#126C2314yescomplemented
304C5×#126C2314yescomplemented
305C5×#124C2314yescomplemented
306C5×#124C2314yescomplemented
307C5×#123C2314yes—
308C5×#123C2314yes—
309C5×#123C2314yescomplemented
310C5×#123C2314yescomplemented
311C5×#123C2314yescomplemented
312C5×C22⋊Q8C2312yes—
313C5×C22⋊Q8C2312yes—
314C5×C22⋊Q8C2312yes—
315C5×C22⋊Q8C2312yes—
316C5×C22⋊Q8C2314yescomplemented
317C5×C22⋊Q8C2314yescomplemented
318C5×#121C2312yes—
319C5×#121C2312yes—
320C5×#121C2312yes—
321C5×#121C2312yes—
322C5×#121C2314yescomplemented
323C5×#121C2314yescomplemented
324C5×#120C2314yes—
325C5×#120C2314yes—
326C5×#120C2314yes—
327C5×#120C2314yes—
328C5×#120C2314yescomplemented
329C4×C5×D4C2314yes—
330C4×C5×D4C2314yes—
331C4×C5×D4C2314yes—
332C4×C5×D4C2314yes—
333C4×C5×D4C2314yescomplemented
334C4×C5×D4C2314yescomplemented
335C5×#117C2312yes—
336C5×#117C2312yes—
337C5×#117C2314yescomplemented
338C2×C5×C22⋊C4C2312yes—
339C2×C5×C22⋊C4C2312yes—
340C2×C5×C22⋊C4C2312yes—
341C2×C5×C22⋊C4C2311yescharacteristic
342C2×C5×C22⋊C4C2311yescharacteristic
343C2×C5×C22⋊C4C2314yes—
344C2×C5×C22⋊C4C2314yes—
345C2×C5×C22⋊C4C2311yescharacteristic
346C2×C5×C22⋊C4C2311yescharacteristic
347C2×C5×C22⋊C4C2314yescomplemented
348#4099C2314yes—
349#4099C2314yes—
350#4099C2314yes—
351#4099C2314yes—
352#4099C2314yes—
353C2×C22⋊Dic5C2312yes—
354C2×C22⋊Dic5C2312yes—
355C2×C22⋊Dic5C2312yes—
356C2×C22⋊Dic5C2312yescomplemented
357C2×C22⋊Dic5C2312yescomplemented
358#4093C2314yescomplemented
359#4093C2312yescomplemented
360#4092C2314yescomplemented
361#4092C2312yescomplemented
362#4092C2312yescomplemented
363#4092C2314yescomplemented
364Q8×Dic5C2312yescomplemented
365Q8×Dic5C2312yescomplemented
366#4090C2314yescomplemented
367#4090C2312yescomplemented
368#4086C2314yes—
369#4086C2314yes—
370#4086C2312yescomplemented
371#4085C2314yes—
372#4085C2314yes—
373#4085C2314yes—
374#4085C2314yes—
375#4085C2314yes—
376#4085C2314yes—
377#4085C2314yes—
378#4085C2314yes—
379#4085C2314yes—
380#4085C2314yes—
381#4085C2314yescomplemented
382#4085C2314yescomplemented
383#4085C2314yescomplemented
384#4085C2314yescomplemented
385#4085C2314yescomplemented
386#4085C2314yescomplemented
387#4084C2314yes—
388#4084C2314yes—
389#4084C2312yescomplemented
390#4084C2312yescomplemented
391#4083C2314yes—
392#4083C2314yes—
393#4083C2314yes—
394#4083C2314yes—
395#4083C2314yes—
396#4083C2314yescomplemented
397#4082C2312yescomplemented
398#4081C2314yes—
399#4081C2314yes—
400#4081C2314yes—
401#4081C2314yescomplemented
402#4081C2314yescomplemented
403#4081C2314yescomplemented
404D4×Dic5C2314yes—
405D4×Dic5C2314yes—
406D4×Dic5C2314yes—
407D4×Dic5C2314yes—
408D4×Dic5C2314yes—
409D4×Dic5C2314yes—
410D4×Dic5C2314yescomplemented
411D4×Dic5C2314yescomplemented
412D4×Dic5C2314yescomplemented
413D4×Dic5C2314yescomplemented
414D4×Dic5C2312yescomplemented
415D4×Dic5C2312yescomplemented
416#4076C2312yes—
417#4076C2312yes—
418#4076C2314yes—
419#4076C2314yes—
420#4076C2312yes—
421#4076C2312yes—
422#4076C2314yescomplemented
423#4075C2314yes—
424#4075C2314yes—
425#4075C2314yes—
426#4075C2314yescomplemented
427#4075C2314yescomplemented
428C4×C22⋊D5C2314yes—
429C4×C22⋊D5C2314yes—
430C4×C22⋊D5C2314yes—
431C4×C22⋊D5C2314yes—
432C4×C22⋊D5C2314yes—
433C4×C22⋊D5C2314yes—
434C4×C22⋊D5C2314yescomplemented
435C4×C22⋊D5C2314yescomplemented
436C4×C22⋊D5C2314yescomplemented
437C4×C22⋊D5C2314yescomplemented
438C4×C22⋊D5C2314yescomplemented
439C4×C22⋊D5C2314yescomplemented
440C2×#685C2311yescharacteristic
441C2×#685C2311yescharacteristic
442C2×#685C2314yes—
443C2×#685C2314yes—
444C2×#685C2311yescharacteristic
445C2×#685C2311yescharacteristic
446C2×#685C2312yescomplemented
447C2×#685C2312yescomplemented
448C2×#685C2314yescomplemented
449#4072C2312yes—
450#4072C2312yes—
451#4072C2314yescomplemented
452C2×C4⋊Dic5C2312yescomplemented
453C2×C4⋊Dic5C2312yescomplemented
454#4070C2312yes—
455#4070C2312yes—
456#4070C2312yes—
457#4070C2312yes—
458#4070C2314yescomplemented
459C2×#683C2311yescharacteristic
460C2×#683C2311yescharacteristic
461C2×#683C2314yes—
462C2×#683C2314yes—
463C2×#683C2311yescharacteristic
464C2×#683C2311yescharacteristic
465C2×#683C2312yescomplemented
466C2×#683C2312yescomplemented
467C2×#683C2312yescomplemented
468C2×#683C2312yescomplemented
469C2×#683C2314yescomplemented
470C2×C4×Dic5C2311yescharacteristic
471C2×C4×Dic5C2311yescharacteristic
472C2×C4×Dic5C2312yes—
473C2×C4×Dic5C2312yes—
474C2×C4×Dic5C2312yes—
475C2×C4×Dic5C2311yescharacteristic
476C2×C4×Dic5C2312yes—
477C2×C4×Dic5C2311yescharacteristic
478C2×C4×Dic5C2312yescomplemented
479C2×C4×Dic5C2312yescomplemented
480C2×C4×Dic5C2314yescomplemented
481#4044C2314yescomplemented
482#4044C2314yescomplemented
483#4044C2314yescomplemented
484#4044C2314yescomplemented
485#4044C2314yescomplemented
486#4044C2314yescomplemented
487#4043C2312yescomplemented
488#4043C2312yescomplemented
489#4043C2314yescomplemented
490#4042C2314yescomplemented
491#4042C2314yescomplemented
492#4042C2314yescomplemented
493#4042C2314yescomplemented
494#4042C2314yescomplemented
495#4042C2314yescomplemented
496#4041C2312yescomplemented
497#4041C2312yescomplemented
498#4041C2314yescomplemented
499#4040C2314yescomplemented
500#4040C2314yescomplemented
501#4040C2314yescomplemented
502#4040C2314yescomplemented
503#4040C2314yescomplemented
504#4040C2314yescomplemented
505#4039C2314yescomplemented
506#4039C2314yescomplemented
507#4039C2312yescomplemented
508#4039C2312yescomplemented
509#4039C2314yescomplemented
510#4038C2312yescomplemented
511#4038C2312yescomplemented
512#4038C2314yescomplemented
513#4038C2314yescomplemented
514#4038C2314yescomplemented
515D5×C4⋊C4C2312yescomplemented
516D5×C4⋊C4C2312yescomplemented
517D5×C4⋊C4C2314yescomplemented
518D5×C4⋊C4C2314yescomplemented
519D5×C4⋊C4C2314yescomplemented
520#4036C2312yescomplemented
521#4036C2312yescomplemented
522#4036C2314yescomplemented
523#4035C2314yescomplemented
524#4035C2314yescomplemented
525#4035C2314yescomplemented
526#4035C2314yescomplemented
527#4035C2314yescomplemented
528#4035C2314yescomplemented
529#4034C2312yescomplemented
530#4034C2312yescomplemented
531#4034C2314yescomplemented
532#4033C2314yescomplemented
533#4033C2314yescomplemented
534#4033C2312yescomplemented
535#4033C2312yescomplemented
536#4033C2314yescomplemented
537#4032C2314yes—
538#4032C2314yes—
539#4032C2314yes—
540#4032C2314yes—
541#4032C2314yescomplemented
542#4032C2314yescomplemented
543#4032C2314yescomplemented
544#4032C2314yescomplemented
545#4031C2314yes—
546#4031C2314yes—
547#4031C2314yescomplemented
548#4031C2314yescomplemented
549#4031C2314yescomplemented
550#4031C2314yescomplemented
551#4031C2314yescomplemented
552#4031C2314yescomplemented
553#4030C2314yes—
554#4030C2314yes—
555#4030C2314yes—
556#4030C2314yes—
557#4030C2314yescomplemented
558#4030C2314yescomplemented
559#4030C2314yescomplemented
560#4030C2314yescomplemented
561#4030C2314yescomplemented
562#4030C2314yescomplemented
563#4029C2314yes—
564#4029C2314yes—
565#4029C2314yescomplemented
566#4029C2314yescomplemented
567#4029C2314yescomplemented
568#4029C2314yescomplemented
569#4029C2314yescomplemented
570#4029C2314yescomplemented
571#4028C2314yes—
572#4028C2314yes—
573#4028C2314yes—
574#4028C2314yes—
575#4028C2314yescomplemented
576#4028C2314yescomplemented
577#4027C2314yes—
578#4027C2314yes—
579#4027C2314yes—
580#4027C2314yes—
581#4027C2314yes—
582#4027C2314yes—
583#4027C2314yes—
584#4027C2314yes—
585#4027C2314yes—
586#4027C2314yes—
587#4027C2314yes—
588#4027C2314yes—
589#4027C2314yes—
590#4027C2314yes—
591#4027C2314yes—
592#4027C2314yes—
593#4027C2314yes—
594#4027C2314yes—
595#4027C2314yes—
596#4027C2314yes—
597#4027C2314yes—
598#4027C2314yes—
599#4027C2314yes—
600#4027C2314yes—
601#4027C2314yescomplemented
602#4027C2314yescomplemented
603#4027C2314yescomplemented
604#4027C2314yescomplemented
605#4027C2314yescomplemented
606#4027C2314yescomplemented
607#4027C2314yescomplemented
608#4027C2314yescomplemented
609#4027C2314yescomplemented
610#4027C2314yescomplemented
611#4027C2314yescomplemented
612#4027C2314yescomplemented
613D5×C22⋊C4C2314yes—
614D5×C22⋊C4C2314yes—
615D5×C22⋊C4C2314yes—
616D5×C22⋊C4C2314yescomplemented
617D5×C22⋊C4C2314yescomplemented
618D5×C22⋊C4C2314yescomplemented
619D5×C22⋊C4C2314yescomplemented
620#4025C2314yescomplemented
621#4025C2314yescomplemented
622#4025C2314yescomplemented
623#4025C2314yescomplemented
624#4025C2314yescomplemented
625#4025C2314yescomplemented
626#4024C2314yes—
627#4024C2314yes—
628#4024C2314yes—
629#4024C2314yes—
630#4024C2314yes—
631#4024C2314yes—
632#4024C2314yescomplemented
633#4024C2314yescomplemented
634#4024C2314yescomplemented
635#4024C2314yescomplemented
636#4024C2314yescomplemented
637#4024C2314yescomplemented
638#4024C2314yescomplemented
639#4024C2314yescomplemented
640#4023C2314yes—
641#4023C2314yes—
642#4023C2314yes—
643#4023C2314yescomplemented
644#4023C2314yescomplemented
645#4023C2314yescomplemented
646#4023C2314yescomplemented
647#4023C2314yescomplemented
648#4023C2314yescomplemented
649#4022C2314yescomplemented
650#4022C2314yescomplemented
651#4021C2314yescomplemented
652C4×D20C2314yescomplemented
653C4×D20C2314yescomplemented
654C4×D20C2314yescomplemented
655#4018C2314yescomplemented
656#4018C2314yescomplemented
657#4018C2314yescomplemented
658#4018C2314yescomplemented
659C42×D5C2314yescomplemented
660C42×D5C2314yescomplemented
661#4016C2314yescomplemented
662C4×Dic10C2314yescomplemented
663C4×Dic10C2314yescomplemented
664C4×Dic10C2314yescomplemented
665#3520—54no—
666#3519—54no—
667#3513—54no—
668#3513—54no—
669#3506—52no—
670#3505—52no—
671#3505—52no—
672#3501—51no—
673#3496—51no—
674#3492—52no—
675#3490—52no—
676#3490—51no—
677#3490D511yescharacteristic, complemented
678#3484—52no—
679#3481—54no—
680#3481—54no—
681#3475—54no—
682D4×#41—54no—
683#3460—52no—
684#3459—51no—
685#3459—52no—
686#3459—51no—
687#3444—52no—
688C2×#525—52no—
689C2×#525—52no—
690C4×H(5,𝔽2)—52no—
691C22×C4×D4—51no—
692C24×C5—24no—
693C24×C5—42no—
694C24×C5—42no—
695C24×C5C2411yescharacteristic
696C24×C5C2412yes—
697C24×C5C2412yes—
698C24×C5C2412yes—
699C24×C5C2411yescharacteristic
700C24×C5C2411yescharacteristic
701C23×D5—24no—
702C23×D5—42no—
703C23×D5—42no—
704C23×D5C2412yes—
705C23×D5C2412yes—
706C23×D5C2411yescharacteristic
707C23×D5C2414yes—
708C23×D5C2412yes—
709C23×D5C2411yescharacteristic
710C5×#41—44no—
711C5×#41—44no—
712C2×C5×Q8C2412yes—
713C2×C5×Q8C2412yes—
714C2×C5×D4—28no—
715C2×C5×D4—44no—
716C2×C5×D4—44no—
717C2×C5×D4C2414yes—
718C2×C5×D4C2414yes—
719C2×C5×D4C2414yes—
720C2×C5×D4C2414yes—
721C2×C5×D4C2414yes—
722C2×C5×D4C2414yes—
723C2×C5×D4C2412yes—
724C2×C5×D4C2412yes—
725C22×C4×C5—42no—
726C22×C4×C5—42no—
727C22×C4×C5C2412yes—
728C22×C4×C5C2412yes—
729C22×C4×C5C2412yes—
730C22×C4×C5C2411yescharacteristic
731C22×C4×C5C2411yescharacteristic
732C22×C4×C5C2412yes—
733C22×C4×C5C2412yes—
734C22×C4×C5C2412yes—
735C22×C4×C5C2412yes—
736C22×C4×C5C2411yescharacteristic
737C22×C4×C5C2411yescharacteristic
738C22×C4×C5C2414yes—
739C22×C4×C5C2414yes—
740C2×C22⋊D5—28no—
741C2×C22⋊D5—24no—
742C2×C22⋊D5—24no—
743C2×C22⋊D5—216no—
744C2×C22⋊D5—216no—
745C2×C22⋊D5—216no—
746C2×C22⋊D5—24no—
747C2×C22⋊D5—44no—
748C2×C22⋊D5—44no—
749C2×C22⋊D5—44no—
750C2×C22⋊D5#4118yescomplemented
751C2×C22⋊D5C2414yes—
752C2×C22⋊D5C2414yes—
753C2×C22⋊D5C2414yes—
754C2×C22⋊D5C2414yes—
755C2×C22⋊D5C2414yes—
756C2×C22⋊D5C2414yes—
757C2×C22⋊D5C2414yes—
758C2×C22⋊D5C2414yes—
759C2×C22⋊D5C2414yes—
760C2×C22⋊D5C2414yes—
761C2×C22⋊D5C2414yes—
762C2×C22⋊D5C2414yes—
763C2×C22⋊D5C2414yes—
764C2×C22⋊D5C2414yes—
765C2×C22⋊D5C2414yes—
766C2×C22⋊D5C2414yes—
767C22×Dic5—24no—
768C22×Dic5—24no—
769C22×Dic5—28no—
770C22×Dic5—44no—
771C22×Dic5—42no—
772C22×Dic5—44no—
773C22×Dic5—42no—
774C22×Dic5—44no—
775C22×Dic5—42no—
776C22×Dic5—42no—
777C22×Dic5—44no—
778C22×Dic5—42no—
779C22×Dic5C2412yes—
780C22×Dic5C2412yes—
781C22×Dic5C2411yescharacteristic
782C22×Dic5C2411yescharacteristic
783C22×Dic5C2411yescharacteristic
784C22×Dic5C2411yescharacteristic
785C22×Dic5C2411yescharacteristic
786C22×Dic5C2414yes—
787C22×Dic5C2412yes—
788C22×Dic5C2412yes—
789C22×Dic5C2414yes—
790C22×Dic5C2412yes—
791C22×Dic5C2412yes—
792C22×Dic5C2412yes—
793C22×Dic5C2412yes—
794C22×Dic5C2411yescharacteristic
795C22×Dic5C2412yes—
796C22×Dic5C2412yes—
797C22×Dic5C2412yes—
798C22×Dic5C2412yes—
799C22×Dic5C2414yes—
800C22×Dic5C2411yescharacteristic
801C22×Dic5C2412yes—
802C22×Dic5C2412yes—
803C22×Dic5C2412yes—
804C22×Dic5C2411yescharacteristic
805C22×Dic5C2411yescharacteristic
806C22×Dic5C2411yescharacteristic
807#713—44no—
808Q8×D5—44no—
809#711—216no—
810#711—216no—
811#711—216no—
812#711—48no—
813#711—48no—
814#711—44no—
815#711—48no—
816D4×D5—216no—
817D4×D5—216no—
818D4×D5—44no—
819D4×D5—48no—
820D4×D5—48no—
821#709—216no—
822#709—48no—
823#709—44no—
824#709—44no—
825C2×D20C2414yes—
826C2×D20C2412yes—
827C2×D20C2412yes—
828C2×D20C2414yes—
829C2×D20C2414yes—
830C2×C4×D5—28no—
831C2×C4×D5—42no—
832C2×C4×D5—44no—
833C2×C4×D5—42no—
834C2×C4×D5—44no—
835C2×C4×D5—42no—
836C2×C4×D5—42no—
837C2×C4×D5—44no—
838C2×C4×D5—48no—
839C2×C4×D5—44no—
840C2×C4×D5C2412yes—
841C2×C4×D5C2412yes—
842C2×C4×D5C2412yes—
843C2×C4×D5C2412yes—
844C2×C4×D5C2414yes—
845C2×C4×D5C2414yes—
846C2×C4×D5C2414yes—
847C2×C4×D5C2412yes—
848C2×C4×D5C2412yes—
849C2×C4×D5C2412yes—
850C2×C4×D5C2412yes—
851C2×C4×D5C2414yes—
852C2×C4×D5C2414yes—
853C2×C4×D5C2414yes—
854C2×C4×D5C2414yes—
855C2×C4×D5C2414yes—
856C2×Dic10—44no—
857C2×Dic10C2414yes—
858C2×Dic10C2414yes—
859C2×Dic10C2414yes—
860C2×Dic10C2412yes—
861C2×Dic10C2412yes—
862C5×C4⋊C4C2412yes—
863C5×C4⋊C4C2412yes—
864C5×C4⋊C4C2412yes—
865C5×C4⋊C4C2412yes—
866C5×C4⋊C4C2414yes—
867C5×C4⋊C4C2414yes—
868C5×C4⋊C4C2414yes—
869C5×C4⋊C4C2414yes—
870C5×C22⋊C4C2414yes—
871C5×C22⋊C4C2414yes—
872C5×C22⋊C4C2414yes—
873C5×C22⋊C4C2414yes—
874C5×C22⋊C4C2414yes—
875C5×C22⋊C4C2414yes—
876C5×C22⋊C4C2414yes—
877C5×C22⋊C4C2414yes—
878C5×C22⋊C4C2414yes—
879C5×C22⋊C4C2414yes—
880C5×C22⋊C4C2414yes—
881C5×C22⋊C4C2414yes—
882C5×C22⋊C4C2414yes—
883C5×C22⋊C4C2414yes—
884C42×C5C2414yes—
885C42×C5C2414yes—
886C22⋊Dic5C2414yes—
887C22⋊Dic5C2414yes—
888C22⋊Dic5C2414yes—
889C22⋊Dic5C2414yes—
890C22⋊Dic5C2414yes—
891C22⋊Dic5C2414yes—
892C22⋊Dic5C2414yes—
893C22⋊Dic5C2414yes—
894C22⋊Dic5C2414yes—
895C22⋊Dic5C2414yes—
896C22⋊Dic5C2414yes—
897C22⋊Dic5C2414yes—
898#685C2414yes—
899#685C2414yes—
900#685C2414yes—
901#685C2414yes—
902#685C2414yes—
903#685C2414yes—
904#685C2414yes—
905#685C2414yes—
906#685C2414yes—
907#685C2414yes—
908#685C2414yes—
909#685C2414yes—
910#685C2414yes—
911#685C2414yes—
912#685C2414yes—
913#685C2414yes—
914#685C2414yes—
915#685C2414yes—
916#685C2414yes—
917#685C2414yes—
918C4⋊Dic5C2414yes—
919C4⋊Dic5C2414yes—
920C4⋊Dic5C2414yes—
921C4⋊Dic5C2414yes—
922C4⋊Dic5C2414yes—
923C4⋊Dic5C2414yes—
924C4⋊Dic5C2412yes—
925C4⋊Dic5C2412yes—
926C4⋊Dic5C2412yes—
927C4⋊Dic5C2412yes—
928#683C2414yes—
929#683C2414yes—
930#683C2414yes—
931#683C2414yes—
932#683C2414yes—
933#683C2414yes—
934#683C2414yes—
935#683C2414yes—
936#683C2414yes—
937#683C2414yes—
938#683C2414yes—
939#683C2414yes—
940#683C2414yes—
941#683C2414yes—
942#683C2414yes—
943#683C2414yes—
944#683C2414yes—
945#683C2414yes—
946#683C2414yes—
947#683C2414yes—
948C4×Dic5C2412yes—
949C4×Dic5C2414yes—
950C4×Dic5C2412yes—
951C4×Dic5C2414yes—
952C4×Dic5C2414yes—
953C4×Dic5C2414yes—
954C4×Dic5C2412yes—
955C4×Dic5C2414yes—
956C4×Dic5C2414yes—
957C4×Dic5C2414yes—
958C4×Dic5C2414yes—
959C4×Dic5C2412yes—
960C4×Dic5C2412yes—
961C4×Dic5C2412yes—
962C4×Dic5C2412yes—
963C4×Dic5C2412yes—
964C2×H(5,𝔽2)—52no—
965C22×#41—52no—
966C22×#41—52no—
967C23×D4—51no—
968C24×C4—51no—
969C24×C4—51no—
970#559—54no—
971#559—54no—
972#556—54no—
973#555—54no—
974#554—54no—
975#554—54no—
976#554—54no—
977#554—54no—
978#554—54no—
979#553—54no—
980#553—54no—
981#553—54no—
982#553—54no—
983#553—54no—
984#553—54no—
985#553—54no—
986#553—54no—
987#553—54no—
988#553—54no—
989#552—54no—
990#552—54no—
991#552—54no—
992#552—54no—
993#551—54no—
994#551—54no—
995#551—54no—
996#551—54no—
997#551—54no—
998#551—54no—
999#551—54no—
1000#551—54no—
1001#551—54no—
1002#551—54no—
1003#551C2×D514yescomplemented
1004#551C2×D514yescomplemented
1005#550—54no—
1006D4×Q8—54no—
1007#548—54no—
1008#548—54no—
1009#547—54no—
1010#547—54no—
1011#547—54no—
1012#547—54no—
1013#546—54no—
1014#546—54no—
1015#546—54no—
1016#546—54no—
1017#546—54no—
1018#546—54no—
1019#546—54no—
1020#546—54no—
1021#546—54no—
1022#546—54no—
1023#546—54no—
1024#546—54no—
1025#546—54no—
1026#546—54no—
1027#546C2×D514yescomplemented
1028#546C2×D514yescomplemented
1029D42—54no—
1030D42—54no—
1031D42—54no—
1032D42—54no—
1033D42—54no—
1034#544—52no—
1035#543—52no—
1036#543—51no—
1037#543C2×D511yescharacteristic, complemented
1038#542—54no—
1039#542—54no—
1040#540—54no—
1041#540—54no—
1042#539—54no—
1043#539—54no—
1044#539—54no—
1045#539—52no—
1046#539—54no—
1047#539—52no—
1048#539—54no—
1049#538—54no—
1050#538—52no—
1051#538—54no—
1052#538—52no—
1053#538—54no—
1054#538—54no—
1055#538—54no—
1056#538—52no—
1057#538—52no—
1058#538C2×D512yescomplemented
1059#538C2×D512yescomplemented
1060#537—52no—
1061#535—54no—
1062#534—52no—
1063#534—52no—
1064#534—54no—
1065#534—52no—
1066#534—51no—
1067#534C2×D511yescharacteristic, complemented
1068#533—52no—
1069#533—52no—
1070#533—52no—
1071#532—52no—
1072#532—54no—
1073#532—52no—
1074#532—52no—
1075#532—54no—
1076#529—54no—
1077#529—54no—
1078#529—54no—
1079#529—54no—
1080#529—54no—
1081#529—54no—
1082#529—54no—
1083#529—52no—
1084#529—52no—
1085#529—54no—
1086#529—52no—
1087#529—52no—
1088#529—54no—
1089#529—54no—
1090#525—52no—
1091#525—52no—
1092#525—52no—
1093#525—54no—
1094#525—54no—
1095#525—52no—
1096#525—52no—
1097#525—54no—
1098#525—52no—
1099#525—52no—
1100#525—54no—
1101#525—54no—
1102#525—54no—
1103#525—54no—
1104#525—54no—
1105#525—54no—
1106#525—54no—
1107#525—54no—
1108#525—54no—
1109#525—54no—
1110#525—54no—
1111#525—54no—
1112#525—54no—
1113#525—52no—
1114#525C2×D512yescomplemented
1115#525C2×D512yescomplemented
1116C2×#123—52no—
1117C2×#123—54no—
1118C2×#123—52no—
1119C2×C22⋊Q8—52no—
1120C2×C22⋊Q8—52no—
1121C2×C22⋊Q8—52no—
1122C2×C22⋊Q8—52no—
1123C2×#121—52no—
1124C2×#121—52no—
1125C2×#121—52no—
1126C2×#121—52no—
1127C2×#120—52no—
1128C2×#120—54no—
1129C2×#120C2×D512yescomplemented
1130#520—54no—
1131#520—54no—
1132#520—54no—
1133#518—54no—
1134#518—54no—
1135#518—52no—
1136#518—52no—
1137#518—54no—
1138#518C2×D512yescomplemented
1139C4×#41—52no—
1140C4×#41—54no—
1141C4×#41—54no—
1142C4×#41—54no—
1143C4×#41—52no—
1144C4×#41—54no—
1145C2×C4×D4—52no—
1146C2×C4×D4—52no—
1147C2×C4×D4—54no—
1148C2×C4×D4—54no—
1149C2×C4×D4—54no—
1150C2×C4×D4—51no—
1151C2×C4×D4—51no—
1152C2×C4×D4—51no—
1153C2×C4×D4—51no—
1154C2×C4×D4—51no—
1155C2×C4×D4—54no—
1156C2×C4×D4—54no—
1157C2×C4×D4—51no—
1158C2×C4×D4—51no—
1159C2×C4×D4—51no—
1160C2×C4×D4—54no—
1161C2×C4×D4—54no—
1162C2×C4×D4—52no—
1163C2×C4×D4—52no—
1164C2×C4×D4—54no—
1165C2×#117—52no—
1166C2×#117—52no—
1167C22×C4⋊C4—51no—
1168C22×C22⋊C4—51no—
1169C22×C22⋊C4C2×D511yescharacteristic, complemented
1170C22×C42—51no—
1171C23×C5—22no—
1172C23×C5—22no—
1173C23×C5—22no—
1174C23×C5—24no—
1175C23×C5—24no—
1176C23×C5—22no—
1177C23×C5—24no—
1178C23×C5—24no—
1179C23×C5—24no—
1180C23×C5—41no—
1181C23×C5—42no—
1182C23×C5—41no—
1183C23×C5—41no—
1184C23×C5—42no—
1185C23×C5—41no—
1186C23×C5—42no—
1187C23×C5—42no—
1188C23×C5—416no—
1189C23×C5C2×#4114yescomplemented
1190C23×C5C2514yes—
1191C23×C5C2512yes—
1192C23×C5C2511yescharacteristic
1193C23×C5C2512yes—
1194C23×C5C2511yescharacteristic
1195C23×C5C2511yescharacteristic
1196C22×D5—22no—
1197C22×D5—24no—
1198C22×D5—24no—
1199C22×D5—24no—
1200C22×D5—24no—
1201C22×D5—24no—
1202C22×D5—28no—
1203C22×D5—41no—
1204C22×D5—42no—
1205C22×D5—41no—
1206C22×D5—41no—
1207C22×D5—42no—
1208C22×D5—41no—
1209C22×D5—44no—
1210C22×D5—42no—
1211C22×D5—44no—
1212C22×D5—42no—
1213C22×D5—416no—
1214C22×D5C2×#4114yescomplemented
1215C22×D5C2512yes—
1216C22×D5C2514yes—
1217C22×D5C2512yes—
1218C5×Q8—42no—
1219C5×Q8—42no—
1220C5×D4—28no—
1221C5×D4—28no—
1222C5×D4—28no—
1223C5×D4—28no—
1224C5×D4—42no—
1225C5×D4—44no—
1226C5×D4—44no—
1227C5×D4—42no—
1228C2×C4×C5—24no—
1229C2×C4×C5—24no—
1230C2×C4×C5—24no—
1231C2×C4×C5—42no—
1232C2×C4×C5—41no—
1233C2×C4×C5—42no—
1234C2×C4×C5—41no—
1235C2×C4×C5—44no—
1236C2×C4×C5—41no—
1237C2×C4×C5—42no—
1238C2×C4×C5—41no—
1239C2×C4×C5—42no—
1240C2×C4×C5—44no—
1241C2×C4×C5C2512yes—
1242C2×C4×C5C2512yes—
1243C2×C4×C5C2514yes—
1244C2×C4×C5C2512yes—
1245C2×C4×C5C2514yes—
1246C2×C4×C5C2514yes—
1247C2×C4×C5C2512yes—
1248C22⋊D5—28no—
1249C22⋊D5—28no—
1250C22⋊D5—28no—
1251C22⋊D5—28no—
1252C22⋊D5—28no—
1253C22⋊D5—28no—
1254C22⋊D5—28no—
1255C22⋊D5—28no—
1256C22⋊D5—28no—
1257C22⋊D5—28no—
1258C22⋊D5—44no—
1259C22⋊D5—44no—
1260C22⋊D5—44no—
1261C22⋊D5—44no—
1262C22⋊D5—44no—
1263C22⋊D5C2×#41116yescomplemented
1264C2×Dic5—24no—
1265C2×Dic5—22no—
1266C2×Dic5—22no—
1267C2×Dic5—24no—
1268C2×Dic5—28no—
1269C2×Dic5—24no—
1270C2×Dic5—24no—
1271C2×Dic5—24no—
1272C2×Dic5—22no—
1273C2×Dic5—22no—
1274C2×Dic5—22no—
1275C2×Dic5—22no—
1276C2×Dic5—28no—
1277C2×Dic5—24no—
1278C2×Dic5—24no—
1279C2×Dic5—24no—
1280C2×Dic5—42no—
1281C2×Dic5—44no—
1282C2×Dic5—41no—
1283C2×Dic5—42no—
1284C2×Dic5—42no—
1285C2×Dic5—42no—
1286C2×Dic5—42no—
1287C2×Dic5—42no—
1288C2×Dic5—41no—
1289C2×Dic5—42no—
1290C2×Dic5C2×#4114yescomplemented
1291C2×Dic5H(5,𝔽2)14yescomplemented
1292C2×Dic5C2514yes—
1293C2×Dic5C2512yes—
1294C2×Dic5C2514yes—
1295C2×Dic5C2512yes—
1296C2×Dic5C2511yescharacteristic
1297C2×Dic5C2511yescharacteristic
1298C2×Dic5C2514yes—
1299C2×Dic5C2512yes—
1300C2×Dic5C2512yes—
1301C2×Dic5C2511yescharacteristic
1302C2×Dic5C2511yescharacteristic
1303D20—28no—
1304D20—42no—
1305D20—44no—
1306D20—42no—
1307D20—44no—
1308C4×D5—28no—
1309C4×D5—28no—
1310C4×D5—24no—
1311C4×D5—24no—
1312C4×D5—24no—
1313C4×D5—24no—
1314C4×D5—28no—
1315C4×D5—42no—
1316C4×D5—42no—
1317C4×D5—42no—
1318C4×D5—42no—
1319C4×D5—44no—
1320C4×D5—44no—
1321C4×D5—44no—
1322C4×D5—44no—
1323C4×D5—44no—
1324Dic10—28no—
1325Dic10—28no—
1326Dic10—44no—
1327Dic10—42no—
1328Dic10—42no—
1329C25—51no—
1330C25C22×D511yescharacteristic
1331H(5,𝔽2)—1016no—
1332C2×#41—52no—
1333C2×#41—54no—
1334C2×#41—54no—
1335C2×#41—54no—
1336C2×#41—52no—
1337C2×#41—54no—
1338C2×#41—54no—
1339C2×#41—54no—
1340C2×#41—54no—
1341C2×#41—52no—
1342C2×#41—52no—
1343C2×#41—54no—
1344C2×#41—208no—
1345C2×#41—208no—
1346C2×#41C22×D512yes—
1347C2×#41C22×D512yes—
1348C22×Q8—52no—
1349C22×Q8—52no—
1350C22×D4—51no—
1351C22×D4—51no—
1352C22×D4—51no—
1353C22×D4—51no—
1354C22×D4—54no—
1355C22×D4—54no—
1356C22×D4—52no—
1357C22×D4—54no—
1358C22×D4—52no—
1359C22×D4—52no—
1360C22×D4—52no—
1361C22×D4—54no—
1362C22×D4—54no—
1363C22×D4—54no—
1364C22×D4—54no—
1365C22×D4—52no—
1366C22×D4—108no—
1367C22×D4C22×D512yes—
1368C22×D4C22×D512yes—
1369C22×D4C22×D512yes—
1370C23×C4—51no—
1371C23×C4—52no—
1372C23×C4—51no—
1373C23×C4—51no—
1374C23×C4—51no—
1375C23×C4—52no—
1376C23×C4—52no—
1377C23×C4—51no—
1378C23×C4—52no—
1379C23×C4—52no—
1380C23×C4—51no—
1381C23×C4—51no—
1382C23×C4—52no—
1383C23×C4—51no—
1384C23×C4—52no—
1385C23×C4—52no—
1386C23×C4—54no—
1387C23×C4—51no—
1388C23×C4—52no—
1389C23×C4—52no—
1390C23×C4—51no—
1391C23×C4—51no—
1392C23×C4—204no—
1393C23×C4—204no—
1394C23×C4C22×D511yescharacteristic
1395C23×C4C22×D511yescharacteristic
1396C4⋊Q8—52no—
1397C4⋊Q8—54no—
1398C4⋊Q8—52no—
1399C4⋊Q8—52no—
1400C4⋊Q8—54no—
1401#127—52no—
1402#127—54no—
1403#127—54no—
1404#126—54no—
1405#126—54no—
1406#126—54no—
1407#126—54no—
1408#126—54no—
1409#126—54no—
1410#126—54no—
1411#126—54no—
1412#126—54no—
1413#126—54no—
1414#126—54no—
1415#126—54no—
1416#126—54no—
1417#126—54no—
1418#126C22×D514yescomplemented
1419#126C22×D514yescomplemented
1420#125—52no—
1421#125—52no—
1422#125—54no—
1423#125—54no—
1424#125—54no—
1425#125—54no—
1426#125—54no—
1427#125—54no—
1428#125—54no—
1429#125—54no—
1430#124—52no—
1431#124—54no—
1432#124—52no—
1433#124—54no—
1434#124—54no—
1435#124—54no—
1436#124—54no—
1437#124—54no—
1438#124—54no—
1439#124—54no—
1440#124—54no—
1441#124—54no—
1442#124C22×D514yescomplemented
1443#124C22×D514yescomplemented
1444#123—54no—
1445#123—54no—
1446#123—54no—
1447#123—54no—
1448#123—54no—
1449#123—54no—
1450#123—54no—
1451#123—54no—
1452#123—54no—
1453#123—54no—
1454#123—54no—
1455#123—54no—
1456#123—54no—
1457#123—54no—
1458#123—54no—
1459#123—54no—
1460#123—54no—
1461#123—54no—
1462#123—54no—
1463#123—54no—
1464#123—54no—
1465#123—54no—
1466#123—54no—
1467#123—54no—
1468#123—54no—
1469#123—54no—
1470#123—54no—
1471#123—54no—
1472#123—54no—
1473#123—54no—
1474#123—54no—
1475#123—54no—
1476#123—54no—
1477#123C22×D514yes—
1478#123C22×D514yes—
1479#123C22×D514yescomplemented
1480#123C22×D514yescomplemented
1481#123C22×D514yescomplemented
1482C22⋊Q8—52no—
1483C22⋊Q8—52no—
1484C22⋊Q8—54no—
1485C22⋊Q8—54no—
1486C22⋊Q8—52no—
1487C22⋊Q8—52no—
1488C22⋊Q8—52no—
1489C22⋊Q8—52no—
1490C22⋊Q8—54no—
1491C22⋊Q8—52no—
1492C22⋊Q8—54no—
1493C22⋊Q8—54no—
1494C22⋊Q8—52no—
1495C22⋊Q8—54no—
1496C22⋊Q8—54no—
1497C22⋊Q8—54no—
1498C22⋊Q8—54no—
1499C22⋊Q8—54no—
1500C22⋊Q8—54no—
1501C22⋊Q8—54no—
1502C22⋊Q8—54no—
1503C22⋊Q8—54no—
1504C22⋊Q8—54no—
1505C22⋊Q8—54no—
1506C22⋊Q8—54no—
1507C22⋊Q8—54no—
1508C22⋊Q8—54no—
1509C22⋊Q8—54no—
1510C22⋊Q8—54no—
1511C22⋊Q8—54no—
1512C22⋊Q8—54no—
1513C22⋊Q8—54no—
1514C22⋊Q8C22×D512yes—
1515C22⋊Q8C22×D512yes—
1516C22⋊Q8C22×D512yes—
1517C22⋊Q8C22×D512yes—
1518C22⋊Q8C22×D514yescomplemented
1519C22⋊Q8C22×D514yescomplemented
1520#121—54no—
1521#121—54no—
1522#121—54no—
1523#121—52no—
1524#121—54no—
1525#121—54no—
1526#121—52no—
1527#121—54no—
1528#121—54no—
1529#121—54no—
1530#121—54no—
1531#121—54no—
1532#121—54no—
1533#121—54no—
1534#121—54no—
1535#121—54no—
1536#121—54no—
1537#121—54no—
1538#121—54no—
1539#121—54no—
1540#121—52no—
1541#121—52no—
1542#121—52no—
1543#121—52no—
1544#121—54no—
1545#121—54no—
1546#121—54no—
1547#121—52no—
1548#121—52no—
1549#121—54no—
1550#121—54no—
1551#121—54no—
1552#121—54no—
1553#121—54no—
1554#121—54no—
1555#121—54no—
1556#121—54no—
1557#121—54no—
1558#121—54no—
1559#121—54no—
1560#121C22×D512yes—
1561#121C22×D512yes—
1562#121C22×D512yes—
1563#121C22×D512yes—
1564#121C22×D514yescomplemented
1565#121C22×D514yescomplemented
1566#120—54no—
1567#120—54no—
1568#120—54no—
1569#120—54no—
1570#120—54no—
1571#120—54no—
1572#120—54no—
1573#120—54no—
1574#120—54no—
1575#120—54no—
1576#120—54no—
1577#120—54no—
1578#120—54no—
1579#120—54no—
1580#120—54no—
1581#120—54no—
1582#120—54no—
1583#120C22×D514yes—
1584#120C22×D514yes—
1585#120C22×D514yes—
1586#120C22×D514yes—
1587#120C22×D514yescomplemented
1588C4×Q8—52no—
1589C4×Q8—52no—
1590C4×Q8—54no—
1591C4×Q8—54no—
1592C4×Q8—52no—
1593C4×Q8—54no—
1594C4×Q8—52no—
1595C4×Q8—54no—
1596C4×Q8—54no—
1597C4×Q8—54no—
1598C4×D4—54no—
1599C4×D4—54no—
1600C4×D4—54no—
1601C4×D4—54no—
1602C4×D4—54no—
1603C4×D4—54no—
1604C4×D4—54no—
1605C4×D4—54no—
1606C4×D4—52no—
1607C4×D4—54no—
1608C4×D4—54no—
1609C4×D4—52no—
1610C4×D4—54no—
1611C4×D4—54no—
1612C4×D4—54no—
1613C4×D4—54no—
1614C4×D4—54no—
1615C4×D4—54no—
1616C4×D4—54no—
1617C4×D4—54no—
1618C4×D4—54no—
1619C4×D4—54no—
1620C4×D4—54no—
1621C4×D4—54no—
1622C4×D4—54no—
1623C4×D4—54no—
1624C4×D4—54no—
1625C4×D4—52no—
1626C4×D4—52no—
1627C4×D4—54no—
1628C4×D4—54no—
1629C4×D4—54no—
1630C4×D4—54no—
1631C4×D4—54no—
1632C4×D4—54no—
1633C4×D4—54no—
1634C4×D4—54no—
1635C4×D4—54no—
1636C4×D4—54no—
1637C4×D4—54no—
1638C4×D4—54no—
1639C4×D4—54no—
1640C4×D4—54no—
1641C4×D4—54no—
1642C4×D4—54no—
1643C4×D4—54no—
1644C4×D4—54no—
1645C4×D4—54no—
1646C4×D4—54no—
1647C4×D4—54no—
1648C4×D4—54no—
1649C4×D4—54no—
1650C4×D4—54no—
1651C4×D4—54no—
1652C4×D4—54no—
1653C4×D4—54no—
1654C4×D4—54no—
1655C4×D4—54no—
1656C4×D4—54no—
1657C4×D4—54no—
1658C4×D4—54no—
1659C4×D4—54no—
1660C4×D4—54no—
1661C4×D4—54no—
1662C4×D4—54no—
1663C4×D4—54no—
1664C4×D4—54no—
1665C4×D4—54no—
1666C4×D4C22×D514yes—
1667C4×D4C22×D514yes—
1668C4×D4C22×D514yes—
1669C4×D4C22×D514yes—
1670C4×D4C22×D514yescomplemented
1671C4×D4C22×D514yescomplemented
1672#117—52no—
1673#117—52no—
1674#117—54no—
1675#117—52no—
1676#117—52no—
1677#117—54no—
1678#117—54no—
1679#117—54no—
1680#117—54no—
1681#117—54no—
1682#117—54no—
1683#117—54no—
1684#117—54no—
1685#117—54no—
1686#117—54no—
1687#117—54no—
1688#117—54no—
1689#117—54no—
1690#117—54no—
1691#117—54no—
1692#117—54no—
1693#117C22×D512yes—
1694#117C22×D512yes—
1695#117C22×D514yescomplemented
1696C2×C4⋊C4—51no—
1697C2×C4⋊C4—51no—
1698C2×C4⋊C4—51no—
1699C2×C4⋊C4—51no—
1700C2×C4⋊C4—54no—
1701C2×C4⋊C4—54no—
1702C2×C4⋊C4—52no—
1703C2×C4⋊C4—52no—
1704C2×C4⋊C4—52no—
1705C2×C4⋊C4—52no—
1706C2×C4⋊C4—54no—
1707C2×C4⋊C4—52no—
1708C2×C4⋊C4—52no—
1709C2×C4⋊C4—52no—
1710C2×C4⋊C4—52no—
1711C2×C4⋊C4—54no—
1712C2×C4⋊C4—54no—
1713C2×C4⋊C4—54no—
1714C2×C22⋊C4—52no—
1715C2×C22⋊C4—52no—
1716C2×C22⋊C4—52no—
1717C2×C22⋊C4—52no—
1718C2×C22⋊C4—52no—
1719C2×C22⋊C4—51no—
1720C2×C22⋊C4—51no—
1721C2×C22⋊C4—51no—
1722C2×C22⋊C4—51no—
1723C2×C22⋊C4—54no—
1724C2×C22⋊C4—54no—
1725C2×C22⋊C4—52no—
1726C2×C22⋊C4—54no—
1727C2×C22⋊C4—52no—
1728C2×C22⋊C4—54no—
1729C2×C22⋊C4—54no—
1730C2×C22⋊C4—54no—
1731C2×C22⋊C4—54no—
1732C2×C22⋊C4—54no—
1733C2×C22⋊C4—54no—
1734C2×C22⋊C4—54no—
1735C2×C22⋊C4C22×D511yescharacteristic
1736C2×C22⋊C4C22×D511yescharacteristic
1737C2×C22⋊C4C22×D511yescharacteristic
1738C2×C22⋊C4C22×D511yescharacteristic
1739C2×C22⋊C4C22×D514yes—
1740C2×C22⋊C4C22×D514yes—
1741C2×C22⋊C4C22×D512yes—
1742C2×C22⋊C4C22×D512yes—
1743C2×C22⋊C4C22×D512yes—
1744C2×C22⋊C4C22×D514yescomplemented
1745C2×C42—52no—
1746C2×C42—52no—
1747C2×C42—51no—
1748C2×C42—52no—
1749C2×C42—52no—
1750C2×C42—51no—
1751C2×C42—52no—
1752C2×C42—51no—
1753C2×C42—52no—
1754C2×C42—51no—
1755C2×C42—54no—
1756C2×C42—54no—
1757C2×C42—54no—
1758C22×C5—28no—
1759C22×C5—21no—
1760C22×C5—21no—
1761C22×C5—22no—
1762C22×C5—21no—
1763C22×C5—21no—
1764C22×C5—22no—
1765C22×C5—21no—
1766C22×C5—21no—
1767C22×C5—24no—
1768C22×C5—22no—
1769C22×C5—22no—
1770C22×C5—24no—
1771C22×C5—22no—
1772C22×C5—24no—
1773C22×C5—44no—
1774C22×C5—48no—
1775C22×C5—48no—
1776C22×C5—44no—
1777C22×C5—84no—
1778C22×C5C22×#4112yes—
1779C22×C5C22×#4114yes—
1780C22×C5C2×H(5,𝔽2)12yes—
1781C22×C5#58512yes—
1782C22×C5C2611yescharacteristic
1783C2×D5—22no—
1784C2×D5—22no—
1785C2×D5—24no—
1786C2×D5—22no—
1787C2×D5—22no—
1788C2×D5—24no—
1789C2×D5—24no—
1790C2×D5—22no—
1791C2×D5—44no—
1792C2×D5—48no—
1793C2×D5—48no—
1794C2×D5—44no—
1795C2×D5—88no—
1796C2×D5—84no—
1797C2×D5C22×#4114yes—
1798C4×C5—24no—
1799C4×C5—24no—
1800C4×C5—22no—
1801C4×C5—22no—
1802C4×C5—22no—
1803C4×C5—22no—
1804C4×C5—24no—
1805Dic5—24no—
1806Dic5—22no—
1807Dic5—24no—
1808Dic5—22no—
1809Dic5—21no—
1810Dic5—21no—
1811Dic5—22no—
1812Dic5—24no—
1813Dic5C22×#4114yes—
1814Dic5C2×H(5,𝔽2)12yes—
1815Dic5C2×H(5,𝔽2)12yes—
1816C24—24no—
1817C24—42no—
1818C24—42no—
1819C24—51no—
1820C24—52no—
1821C24—52no—
1822C24—54no—
1823C24—52no—
1824C24—51no—
1825C24—104no—
1826C24—202no—
1827C24—202no—
1828C24C23×D511yescharacteristic
1829C24C23×D512yes—
1830C24C23×D512yes—
1831C24C23×D512yes—
1832C24C23×D511yescharacteristic
1833C24C23×D511yescharacteristic
1834#41—44no—
1835#41—44no—
1836#41—1016no—
1837#41—1016no—
1838#41—1016no—
1839#41—1016no—
1840#41—204no—
1841#41—204no—
1842#41—208no—
1843#41—204no—
1844#41—208no—
1845#41—204no—
1846#41—208no—
1847#41—208no—
1848C2×Q8—54no—
1849C2×Q8—54no—
1850C2×Q8—52no—
1851C2×Q8—52no—
1852C2×Q8—54no—
1853C2×Q8—204no—
1854C2×Q8—204no—
1855C2×Q8C23×D512yes—
1856C2×Q8C23×D512yes—
1857C2×D4—28no—
1858C2×D4—44no—
1859C2×D4—44no—
1860C2×D4—58no—
1861C2×D4—54no—
1862C2×D4—54no—
1863C2×D4—54no—
1864C2×D4—54no—
1865C2×D4—54no—
1866C2×D4—54no—
1867C2×D4—54no—
1868C2×D4—54no—
1869C2×D4—54no—
1870C2×D4—54no—
1871C2×D4—54no—
1872C2×D4—54no—
1873C2×D4—54no—
1874C2×D4—54no—
1875C2×D4—54no—
1876C2×D4—54no—
1877C2×D4—54no—
1878C2×D4—52no—
1879C2×D4—54no—
1880C2×D4—54no—
1881C2×D4—52no—
1882C2×D4—104no—
1883C2×D4—1016no—
1884C2×D4—1016no—
1885C2×D4—1016no—
1886C2×D4—1016no—
1887C2×D4—1016no—
1888C2×D4—104no—
1889C2×D4—104no—
1890C2×D4—108no—
1891C2×D4—204no—
1892C2×D4—204no—
1893C2×D4—208no—
1894C2×D4—208no—
1895C2×D4—204no—
1896C2×D4—204no—
1897C2×D4C23×D514yes—
1898C2×D4C23×D514yes—
1899C2×D4C23×D514yes—
1900C2×D4C23×D514yes—
1901C2×D4C23×D512yes—
1902C2×D4C23×D514yes—
1903C2×D4C23×D514yes—
1904C2×D4C23×D512yes—
1905C22×C4—42no—
1906C22×C4—42no—
1907C22×C4—51no—
1908C22×C4—51no—
1909C22×C4—52no—
1910C22×C4—52no—
1911C22×C4—51no—
1912C22×C4—51no—
1913C22×C4—52no—
1914C22×C4—51no—
1915C22×C4—51no—
1916C22×C4—51no—
1917C22×C4—51no—
1918C22×C4—52no—
1919C22×C4—54no—
1920C22×C4—54no—
1921C22×C4—52no—
1922C22×C4—52no—
1923C22×C4—52no—
1924C22×C4—52no—
1925C22×C4—52no—
1926C22×C4—51no—
1927C22×C4—52no—
1928C22×C4—52no—
1929C22×C4—52no—
1930C22×C4—52no—
1931C22×C4—51no—
1932C22×C4—54no—
1933C22×C4—52no—
1934C22×C4—52no—
1935C22×C4—52no—
1936C22×C4—54no—
1937C22×C4—54no—
1938C22×C4—54no—
1939C22×C4—52no—
1940C22×C4—52no—
1941C22×C4—52no—
1942C22×C4—54no—
1943C22×C4—54no—
1944C22×C4—52no—
1945C22×C4—52no—
1946C22×C4—54no—
1947C22×C4—54no—
1948C22×C4—54no—
1949C22×C4—52no—
1950C22×C4—52no—
1951C22×C4—108no—
1952C22×C4—104no—
1953C22×C4—108no—
1954C22×C4—104no—
1955C22×C4—204no—
1956C22×C4—202no—
1957C22×C4—204no—
1958C22×C4—202no—
1959C22×C4—204no—
1960C22×C4—202no—
1961C22×C4—202no—
1962C22×C4—204no—
1963C22×C4—208no—
1964C22×C4—202no—
1965C22×C4—204no—
1966C22×C4—202no—
1967C22×C4—204no—
1968C22×C4—202no—
1969C22×C4—202no—
1970C22×C4—204no—
1971C22×C4—204no—
1972C22×C4—202no—
1973C22×C4C23×D512yes—
1974C22×C4C23×D512yes—
1975C22×C4C23×D512yes—
1976C22×C4C23×D511yescharacteristic
1977C22×C4C23×D512yes—
1978C22×C4C23×D511yescharacteristic
1979C22×C4C23×D512yes—
1980C22×C4C23×D514yes—
1981C22×C4C23×D511yescharacteristic
1982C22×C4C23×D512yes—
1983C22×C4C23×D512yes—
1984C22×C4C23×D511yescharacteristic
1985C22×C4C23×D514yes—
1986C4⋊C4—54no—
1987C4⋊C4—54no—
1988C4⋊C4—54no—
1989C4⋊C4—54no—
1990C4⋊C4—54no—
1991C4⋊C4—54no—
1992C4⋊C4—54no—
1993C4⋊C4—54no—
1994C4⋊C4—54no—
1995C4⋊C4—54no—
1996C4⋊C4—54no—
1997C4⋊C4—54no—
1998C4⋊C4—54no—
1999C4⋊C4—54no—
2000C4⋊C4—54no—
2001C4⋊C4—54no—
2002C4⋊C4—52no—
2003C4⋊C4—52no—
2004C4⋊C4—54no—
2005C4⋊C4—54no—
2006C4⋊C4—54no—
2007C4⋊C4—54no—
2008C4⋊C4—54no—
2009C4⋊C4—54no—
2010C4⋊C4—54no—
2011C4⋊C4—54no—
2012C4⋊C4—54no—
2013C4⋊C4—54no—
2014C4⋊C4—52no—
2015C4⋊C4—52no—
2016C4⋊C4C23×D514yes—
2017C4⋊C4C23×D512yes—
2018C4⋊C4C23×D512yes—
2019C4⋊C4C23×D514yes—
2020C4⋊C4C23×D514yes—
2021C4⋊C4C23×D514yes—
2022C4⋊C4C23×D512yes—
2023C4⋊C4C23×D512yes—
2024C22⋊C4—54no—
2025C22⋊C4—54no—
2026C22⋊C4—54no—
2027C22⋊C4—54no—
2028C22⋊C4—54no—
2029C22⋊C4—54no—
2030C22⋊C4—54no—
2031C22⋊C4—54no—
2032C22⋊C4—54no—
2033C22⋊C4—54no—
2034C22⋊C4—54no—
2035C22⋊C4—54no—
2036C22⋊C4—54no—
2037C22⋊C4—54no—
2038C22⋊C4—54no—
2039C22⋊C4—54no—
2040C22⋊C4—54no—
2041C22⋊C4—54no—
2042C22⋊C4—54no—
2043C22⋊C4—54no—
2044C22⋊C4—54no—
2045C22⋊C4—54no—
2046C22⋊C4—54no—
2047C22⋊C4—54no—
2048C22⋊C4—54no—
2049C22⋊C4—54no—
2050C22⋊C4—54no—
2051C22⋊C4—54no—
2052C22⋊C4—54no—
2053C22⋊C4—54no—
2054C22⋊C4—54no—
2055C22⋊C4—54no—
2056C22⋊C4C23×D514yes—
2057C22⋊C4C23×D514yes—
2058C22⋊C4C23×D514yes—
2059C22⋊C4C23×D514yes—
2060C22⋊C4C23×D514yes—
2061C22⋊C4C23×D514yes—
2062C22⋊C4C23×D514yes—
2063C22⋊C4C23×D514yes—
2064C22⋊C4C23×D514yes—
2065C22⋊C4C23×D514yes—
2066C22⋊C4C23×D514yes—
2067C22⋊C4C23×D514yes—
2068C22⋊C4C23×D514yes—
2069C22⋊C4C23×D514yes—
2070C42—52no—
2071C42—54no—
2072C42—54no—
2073C42—52no—
2074C42—52no—
2075C42—52no—
2076C42—52no—
2077C42—52no—
2078C42—52no—
2079C42—52no—
2080C42—54no—
2081C42—54no—
2082C42—54no—
2083C42—54no—
2084C42—54no—
2085C42—54no—
2086C42C23×D514yes—
2087C42C23×D514yes—
2088C2×C5—22no—
2089C2×C5—22no—
2090C2×C5—22no—
2091C2×C5—24no—
2092C2×C5—44no—
2093C2×C5—42no—
2094C2×C5C23×#4111yescharacteristic
2095C2×C5C22×H(5,𝔽2)11yescharacteristic
2096C2×C5C2×#58511yescharacteristic
2097D5—24no—
2098D5—42no—
2099D5—44no—
2100C23—22no—
2101C23—22no—
2102C23—22no—
2103C23—24no—
2104C23—24no—
2105C23—22no—
2106C23—24no—
2107C23—24no—
2108C23—24no—
2109C23—41no—
2110C23—42no—
2111C23—41no—
2112C23—41no—
2113C23—42no—
2114C23—41no—
2115C23—42no—
2116C23—42no—
2117C23—416no—
2118C23—52no—
2119C23—54no—
2120C23—52no—
2121C23—54no—
2122C23—104no—
2123C23—104no—
2124C23—108no—
2125C23—102no—
2126C23—104no—
2127C23—104no—
2128C23—104no—
2129C23—201no—
2130C23—202no—
2131C23—201no—
2132C23—201no—
2133C23—202no—
2134C23—201no—
2135C23—202no—
2136C23—204no—
2137C23—202no—
2138C23—204no—
2139C23—2016no—
2140C23D5×#4114yescomplemented
2141C23C24×D514yes—
2142C23C24×D512yes—
2143C23C24×D511yescharacteristic
2144C23C24×D512yes—
2145C23C24×D511yescharacteristic
2146C23C24×D511yescharacteristic
2147Q8—42no—
2148Q8—42no—
2149Q8—108no—
2150Q8—108no—
2151Q8—202no—
2152Q8—204no—
2153Q8—202no—
2154D4—28no—
2155D4—28no—
2156D4—28no—
2157D4—28no—
2158D4—44no—
2159D4—44no—
2160D4—42no—
2161D4—42no—
2162D4—516no—
2163D4—108no—
2164D4—108no—
2165D4—108no—
2166D4—108no—
2167D4—108no—
2168D4—108no—
2169D4—108no—
2170D4—108no—
2171D4—108no—
2172D4—108no—
2173D4—108no—
2174D4—202no—
2175D4—204no—
2176D4—204no—
2177D4—202no—
2178D4—204no—
2179D4—204no—
2180D4—204no—
2181D4—204no—
2182D4—204no—
2183C2×C4—24no—
2184C2×C4—24no—
2185C2×C4—24no—
2186C2×C4—41no—
2187C2×C4—42no—
2188C2×C4—41no—
2189C2×C4—41no—
2190C2×C4—42no—
2191C2×C4—41no—
2192C2×C4—42no—
2193C2×C4—44no—
2194C2×C4—42no—
2195C2×C4—44no—
2196C2×C4—54no—
2197C2×C4—54no—
2198C2×C4—51no—
2199C2×C4—52no—
2200C2×C4—51no—
2201C2×C4—54no—
2202C2×C4—54no—
2203C2×C4—52no—
2204C2×C4—51no—
2205C2×C4—51no—
2206C2×C4—52no—
2207C2×C4—54no—
2208C2×C4—52no—
2209C2×C4—104no—
2210C2×C4—104no—
2211C2×C4—104no—
2212C2×C4—104no—
2213C2×C4—108no—
2214C2×C4—108no—
2215C2×C4—108no—
2216C2×C4—102no—
2217C2×C4—102no—
2218C2×C4—104no—
2219C2×C4—102no—
2220C2×C4—102no—
2221C2×C4—104no—
2222C2×C4—104no—
2223C2×C4—104no—
2224C2×C4—104no—
2225C2×C4—104no—
2226C2×C4—108no—
2227C2×C4—108no—
2228C2×C4—102no—
2229C2×C4—104no—
2230C2×C4—102no—
2231C2×C4—104no—
2232C2×C4—202no—
2233C2×C4—202no—
2234C2×C4—202no—
2235C2×C4—202no—
2236C2×C4—204no—
2237C2×C4—204no—
2238C2×C4—204no—
2239C2×C4—204no—
2240C2×C4—204no—
2241C2×C4—201no—
2242C2×C4—202no—
2243C2×C4—202no—
2244C2×C4—202no—
2245C2×C4—202no—
2246C2×C4—202no—
2247C2×C4—201no—
2248C2×C4—202no—
2249C2×C4—204no—
2250C2×C4—202no—
2251C2×C4C24×D512yes—
2252C2×C4C24×D512yes—
2253C2×C4C24×D514yes—
2254C2×C4C24×D514yes—
2255C2×C4C24×D512yes—
2256C2×C4C24×D514yes—
2257C2×C4C24×D512yes—
2258C5#6277311yescharacteristic, complemented, Sylow
2259C22—28no—
2260C22—21no—
2261C22—21no—
2262C22—21no—
2263C22—21no—
2264C22—22no—
2265C22—21no—
2266C22—21no—
2267C22—22no—
2268C22—24no—
2269C22—22no—
2270C22—24no—
2271C22—22no—
2272C22—24no—
2273C22—22no—
2274C22—44no—
2275C22—48no—
2276C22—48no—
2277C22—44no—
2278C22—54no—
2279C22—84no—
2280C22—102no—
2281C22—102no—
2282C22—104no—
2283C22—102no—
2284C22—104no—
2285C22—102no—
2286C22—102no—
2287C22—104no—
2288C22—204no—
2289C22—208no—
2290C22—208no—
2291C22—204no—
2292C22—404no—
2293C22—408no—
2294C22C2×D5×#4114yes—
2295C22C2×D5×#4112yes—
2296C22D5×H(5,𝔽2)12yes—
2297C22#6628512yes—
2298C22C25×D511yescharacteristic
2299C4—24no—
2300C4—22no—
2301C4—22no—
2302C4—24no—
2303C4—22no—
2304C4—22no—
2305C4—24no—
2306C4—54no—
2307C4—52no—
2308C4—52no—
2309C4—102no—
2310C4—104no—
2311C4—104no—
2312C4—101no—
2313C4—101no—
2314C4—102no—
2315C4—102no—
2316C4—104no—
2317C2—22no—
2318C2—22no—
2319C2—22no—
2320C2—24no—
2321C2—42no—
2322C2—44no—
2323C2—104no—
2324C2—202no—
2325C2—204no—
2326C2C22×D5×#4111yescharacteristic
2327C2C2×#6628511yescharacteristic
2328C2C2×D5×H(5,𝔽2)11yescharacteristic
subgroupG/H
center, FrattiniC22C25×D5
commutator, socle, cosocleC22×C5C26
FittingC5×#3490C2
hypercenter#3490D5
hypocenterC5#62773
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. C5×#3490C2semidirect
2. #10618699C2semidirect
3. #10618696C2semidirect
4. #10618692C2semidirect
5. #10618691C2semidirect
6. #10618540C2semidirect
7. #10618536C2semidirect
8. #10618529C2semidirect
9. #10618527C2semidirect
10. #10618475C2semidirect
11. #10618473C2semidirect
12. #10618316C2semidirect
13. #10618292C2semidirect
14. #10618290C2semidirect
15. #10618289C2semidirect
16. #10618199C2semidirect
17. #10618196C2semidirect
18. #10617944C2semidirect
19. D5×#525C2semidirect
20. #10617926C2semidirect
21. #10617919C2semidirect
22. #10617820C2semidirect
23. C2×#65920C2semidirect
24. #10617762C2semidirect
25. #10617758C2semidirect
26. #10617598C2semidirect
27. C22×#4027C2semidirect
29. C24×Dic5C22semidirect
30. C2×D5×#41C22semidirect
32. C22×#711C22semidirect
33. C23×C4×D5C22semidirect
34. C5×#551C22semidirect
35. C5×#551C22semidirect
36. C5×#546C22semidirect
37. C5×#546C22semidirect
38. C5×#543C22semidirect
39. C5×#538C22semidirect
40. C5×#538C22semidirect
41. C5×#534C22semidirect
42. C5×#525C22semidirect
43. C5×#525C22semidirect
44. C2×C5×#120C22semidirect
45. C5×#518C22semidirect
46. C22×C5×C22⋊C4C22semidirect
47. C2×#4099C22semidirect
48. #66166C22semidirect
49. #66163C22semidirect
50. #66162C22semidirect
51. #41×Dic5C22semidirect
52. #66158C22semidirect
53. #66138C22semidirect
54. C2×#4085C22semidirect
55. C2×#4085C22semidirect
56. D4×C22⋊D5C22semidirect
57. D4×C22⋊D5C22semidirect
58. C2×#4081C22semidirect
59. C2×D4×Dic5C22semidirect
60. C2×D4×Dic5C22semidirect
61. #66125C22semidirect
62. #66125C22semidirect
63. C22×#685C22semidirect
64. C22×#683C22semidirect
65. C22×C4×Dic5C22semidirect
66. #66044C22semidirect
67. #66043C22semidirect
68. #66043C22semidirect
69. #66042C22semidirect
70. #66041C22semidirect
71. #66040C22semidirect
72. #66040C22semidirect
73. #66036C22semidirect
74. #66015C22semidirect
75. #66014C22semidirect
76. #66013C22semidirect
77. #66012C22semidirect
78. #66011C22semidirect
79. #66004C22semidirect
80. #66003C22semidirect
81. #66002C22semidirect
82. #65999C22semidirect
83. #65998C22semidirect
84. #65997C22semidirect
85. #65995C22semidirect
86. #65994C22semidirect
87. #65992C22semidirect
88. #65992C22semidirect
89. #65990C22semidirect
90. #65990C22semidirect
91. #65989C22semidirect
92. #65989C22semidirect
93. #65989C22semidirect
94. #65988C22semidirect
95. #65988C22semidirect
96. D5×#123C22semidirect
97. #65984C22semidirect
98. #65983C22semidirect
99. #65983C22semidirect
100. #65983C22semidirect
101. #65983C22semidirect
102. #65979C22semidirect
103. #65979C22semidirect
104. #65978C22semidirect
105. #65978C22semidirect
106. #65971C22semidirect
107. #65970C22semidirect
108. #65970C22semidirect
109. #65970C22semidirect
110. #65969C22semidirect
111. #65968C22semidirect
112. #65966C22semidirect
113. #65961C22semidirect
114. #65961C22semidirect
115. #65961C22semidirect
116. D5×C22⋊Q8C22semidirect
117. D5×C22⋊Q8C22semidirect
118. #65958C22semidirect
119. #65958C22semidirect
120. #65958C22semidirect
121. #65957C22semidirect
122. #65956C22semidirect
123. #65956C22semidirect
124. #65951C22semidirect
125. #65949C22semidirect
126. #65948C22semidirect
127. #65947C22semidirect
128. #65944C22semidirect
129. #65944C22semidirect
130. #65940C22semidirect
131. #65940C22semidirect
132. #65940C22semidirect
133. #65939C22semidirect
134. D5×#121C22semidirect
135. D5×#121C22semidirect
136. #65936C22semidirect
137. #65935C22semidirect
138. #65935C22semidirect
139. #65934C22semidirect
140. #65934C22semidirect
141. #65933C22semidirect
142. #65931C22semidirect
143. #65930C22semidirect
144. #65930C22semidirect
145. #65930C22semidirect
146. #65927C22semidirect
147. #65926C22semidirect
148. #65925C22semidirect
149. #65925C22semidirect
150. #65925C22semidirect
151. #65924C22semidirect
152. #65924C22semidirect
153. #65924C22semidirect
154. #65923C22semidirect
155. D5×#120C22semidirect
156. #65920C22semidirect
157. #65920C22semidirect
158. #65920C22semidirect
159. #65920C22semidirect
160. #65920C22semidirect
161. #65920C22semidirect
162. #65920C22semidirect
163. #65920C22semidirect
164. #65920C22semidirect
165. #65920C22semidirect
166. #65899C22semidirect
167. #65898C22semidirect
168. #65894C22semidirect
169. #65890C22semidirect
170. #65888C22semidirect
171. #65886C22semidirect
172. #65881C22semidirect
173. #65881C22semidirect
174. #65880C22semidirect
175. #65880C22semidirect
176. #65879C22semidirect
177. #65879C22semidirect
178. C4×D4×D5C22semidirect
179. C4×D4×D5C22semidirect
180. C4×D4×D5C22semidirect
181. #65874C22semidirect
182. #65874C22semidirect
183. #65874C22semidirect
184. #65873C22semidirect
185. #65872C22semidirect
186. #65872C22semidirect
187. C4×#711C22semidirect
188. C4×#711C22semidirect
189. C4×#711C22semidirect
190. #65865C22semidirect
191. #65865C22semidirect
192. #65861C22semidirect
193. #65861C22semidirect
194. #65858C22semidirect
195. #65857C22semidirect
196. #65856C22semidirect
197. #65856C22semidirect
198. D5×#117C22semidirect
199. #65851C22semidirect
200. #65829C22semidirect
201. #65829C22semidirect
202. #65829C22semidirect
203. #65828C22semidirect
204. #65828C22semidirect
205. #65827C22semidirect
206. #65827C22semidirect
207. C2×#4032C22semidirect
208. #65824C22semidirect
209. #65824C22semidirect
210. #65824C22semidirect
211. #65824C22semidirect
212. #65824C22semidirect
214. #65820C22semidirect
215. #65820C22semidirect
218. C2×#4027C22semidirect
219. C2×#4027C22semidirect
220. C2×#4027C22semidirect
221. C2×#4027C22semidirect
222. C2×#4027C22semidirect
223. C2×#4027C22semidirect
224. C2×#4027C22semidirect
225. C2×#4027C22semidirect
226. C2×#4027C22semidirect
227. C2×#4027C22semidirect
228. C2×#4027C22semidirect
229. C2×#4027C22semidirect
230. C2×#4027C22semidirect
231. #65817C22semidirect
232. C2×#4024C22semidirect
233. C2×#4024C22semidirect
234. C2×#4023C22semidirect
256. C22×C22⋊D5C23semidirect
269. C23×Dic5C23semidirect
271. C2×#713C23semidirect
272. C2×Q8×D5C23semidirect
279. C2×#711C23semidirect
280. C2×#711C23semidirect
281. C2×#711C23semidirect
286. C2×D4×D5C23semidirect
290. C2×#709C23semidirect
300. C22×C4×D5C23semidirect
301. C22×C4×D5C23semidirect
302. C22×Dic10C23semidirect
303. C5×#126C23semidirect
304. C5×#126C23semidirect
305. C5×#124C23semidirect
306. C5×#124C23semidirect
309. C5×#123C23semidirect
310. C5×#123C23semidirect
311. C5×#123C23semidirect
316. C5×C22⋊Q8C23semidirect
317. C5×C22⋊Q8C23semidirect
322. C5×#121C23semidirect
323. C5×#121C23semidirect
328. C5×#120C23semidirect
333. C4×C5×D4C23semidirect
334. C4×C5×D4C23semidirect
337. C5×#117C23semidirect
347. C2×C5×C22⋊C4C23semidirect
356. C2×C22⋊Dic5C23semidirect
357. C2×C22⋊Dic5C23semidirect
358. #4093C23semidirect
359. #4093C23semidirect
360. #4092C23semidirect
361. #4092C23semidirect
362. #4092C23semidirect
363. #4092C23semidirect
364. Q8×Dic5C23semidirect
365. Q8×Dic5C23semidirect
366. #4090C23semidirect
367. #4090C23semidirect
370. #4086C23semidirect
381. #4085C23semidirect
382. #4085C23semidirect
383. #4085C23semidirect
384. #4085C23semidirect
385. #4085C23semidirect
386. #4085C23semidirect
389. #4084C23semidirect
390. #4084C23semidirect
396. #4083C23semidirect
397. #4082C23semidirect
401. #4081C23semidirect
402. #4081C23semidirect
403. #4081C23semidirect
410. D4×Dic5C23semidirect
411. D4×Dic5C23semidirect
412. D4×Dic5C23semidirect
413. D4×Dic5C23semidirect
414. D4×Dic5C23semidirect
415. D4×Dic5C23semidirect
422. #4076C23semidirect
426. #4075C23semidirect
427. #4075C23semidirect
434. C4×C22⋊D5C23semidirect
435. C4×C22⋊D5C23semidirect
436. C4×C22⋊D5C23semidirect
437. C4×C22⋊D5C23semidirect
438. C4×C22⋊D5C23semidirect
439. C4×C22⋊D5C23semidirect
446. C2×#685C23semidirect
447. C2×#685C23semidirect
448. C2×#685C23semidirect
451. #4072C23semidirect
452. C2×C4⋊Dic5C23semidirect
453. C2×C4⋊Dic5C23semidirect
458. #4070C23semidirect
465. C2×#683C23semidirect
466. C2×#683C23semidirect
467. C2×#683C23semidirect
468. C2×#683C23semidirect
469. C2×#683C23semidirect
478. C2×C4×Dic5C23semidirect
479. C2×C4×Dic5C23semidirect
480. C2×C4×Dic5C23semidirect
481. #4044C23semidirect
482. #4044C23semidirect
483. #4044C23semidirect
484. #4044C23semidirect
485. #4044C23semidirect
486. #4044C23semidirect
487. #4043C23semidirect
488. #4043C23semidirect
489. #4043C23semidirect
490. #4042C23semidirect
491. #4042C23semidirect
492. #4042C23semidirect
493. #4042C23semidirect
494. #4042C23semidirect
495. #4042C23semidirect
496. #4041C23semidirect
497. #4041C23semidirect
498. #4041C23semidirect
499. #4040C23semidirect
500. #4040C23semidirect
501. #4040C23semidirect
502. #4040C23semidirect
503. #4040C23semidirect
504. #4040C23semidirect
505. #4039C23semidirect
506. #4039C23semidirect
507. #4039C23semidirect
508. #4039C23semidirect
509. #4039C23semidirect
510. #4038C23semidirect
511. #4038C23semidirect
512. #4038C23semidirect
513. #4038C23semidirect
514. #4038C23semidirect
515. D5×C4⋊C4C23semidirect
516. D5×C4⋊C4C23semidirect
517. D5×C4⋊C4C23semidirect
518. D5×C4⋊C4C23semidirect
519. D5×C4⋊C4C23semidirect
520. #4036C23semidirect
521. #4036C23semidirect
522. #4036C23semidirect
523. #4035C23semidirect
524. #4035C23semidirect
525. #4035C23semidirect
526. #4035C23semidirect
527. #4035C23semidirect
528. #4035C23semidirect
529. #4034C23semidirect
530. #4034C23semidirect
531. #4034C23semidirect
532. #4033C23semidirect
533. #4033C23semidirect
534. #4033C23semidirect
535. #4033C23semidirect
536. #4033C23semidirect
541. #4032C23semidirect
542. #4032C23semidirect
543. #4032C23semidirect
544. #4032C23semidirect
547. #4031C23semidirect
548. #4031C23semidirect
549. #4031C23semidirect
550. #4031C23semidirect
551. #4031C23semidirect
552. #4031C23semidirect
557. #4030C23semidirect
558. #4030C23semidirect
559. #4030C23semidirect
560. #4030C23semidirect
561. #4030C23semidirect
562. #4030C23semidirect
565. #4029C23semidirect
566. #4029C23semidirect
567. #4029C23semidirect
568. #4029C23semidirect
569. #4029C23semidirect
570. #4029C23semidirect
575. #4028C23semidirect
576. #4028C23semidirect
601. #4027C23semidirect
602. #4027C23semidirect
603. #4027C23semidirect
604. #4027C23semidirect
605. #4027C23semidirect
606. #4027C23semidirect
607. #4027C23semidirect
608. #4027C23semidirect
609. #4027C23semidirect
610. #4027C23semidirect
611. #4027C23semidirect
612. #4027C23semidirect
616. D5×C22⋊C4C23semidirect
617. D5×C22⋊C4C23semidirect
618. D5×C22⋊C4C23semidirect
619. D5×C22⋊C4C23semidirect
620. #4025C23semidirect
621. #4025C23semidirect
622. #4025C23semidirect
623. #4025C23semidirect
624. #4025C23semidirect
625. #4025C23semidirect
632. #4024C23semidirect
633. #4024C23semidirect
634. #4024C23semidirect
635. #4024C23semidirect
636. #4024C23semidirect
637. #4024C23semidirect
638. #4024C23semidirect
639. #4024C23semidirect
643. #4023C23semidirect
644. #4023C23semidirect
645. #4023C23semidirect
646. #4023C23semidirect
647. #4023C23semidirect
648. #4023C23semidirect
649. #4022C23semidirect
650. #4022C23semidirect
651. #4021C23semidirect
652. C4×D20C23semidirect
653. C4×D20C23semidirect
654. C4×D20C23semidirect
655. #4018C23semidirect
656. #4018C23semidirect
657. #4018C23semidirect
658. #4018C23semidirect
659. C42×D5C23semidirect
660. C42×D5C23semidirect
661. #4016C23semidirect
662. C4×Dic10C23semidirect
663. C4×Dic10C23semidirect
664. C4×Dic10C23semidirect
677. #3490D5semidirect
750. C2×C22⋊D5#41semidirect
1003. #551C2×D5semidirect
1004. #551C2×D5semidirect
1027. #546C2×D5semidirect
1028. #546C2×D5semidirect
1037. #543C2×D5semidirect
1058. #538C2×D5semidirect
1059. #538C2×D5semidirect
1067. #534C2×D5semidirect
1114. #525C2×D5semidirect
1115. #525C2×D5semidirect
1129. C2×#120C2×D5semidirect
1138. #518C2×D5semidirect
1169. C22×C22⋊C4C2×D5semidirect
1189. C23×C5C2×#41semidirect
1214. C22×D5C2×#41semidirect
1263. C22⋊D5C2×#41semidirect
1290. C2×Dic5C2×#41semidirect
1291. C2×Dic5H(5,𝔽2)semidirect
1418. #126C22×D5semidirect
1419. #126C22×D5semidirect
1442. #124C22×D5semidirect
1443. #124C22×D5semidirect
1479. #123C22×D5semidirect
1480. #123C22×D5semidirect
1481. #123C22×D5semidirect
1518. C22⋊Q8C22×D5semidirect
1519. C22⋊Q8C22×D5semidirect
1564. #121C22×D5semidirect
1565. #121C22×D5semidirect
1587. #120C22×D5semidirect
1670. C4×D4C22×D5semidirect
1671. C4×D4C22×D5semidirect
1695. #117C22×D5semidirect
1744. C2×C22⋊C4C22×D5semidirect
2140. C23D5×#41semidirect
2258. C5#62773semidirect

Maximal subgroups

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

subgroupindex
C5×#34902
#106186992
#106186962
#106186922
#106186912
#106185402
#106185362
#106185292
#106185272
#106184752
#106184732
#106183162
#106182922
#106182902
#106182892
#106181992
#106181962
#106179442
D5×#5252
#106179262
#106179192
#106178202
C2×#659202
#106177622
#106177582
#106175982
C22×#40272
#627735