Finite Group Databasebeta

← #16750167

Subgroups — #16750167

Order 3328.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129208C211yesmaximal, characteristic, complemented
2#13127089C211yesmaximal, characteristic, complemented
3#13127037C211yesmaximal, characteristic, complemented
4#13126902C211yesmaximal, characteristic, complemented
5#13126872C211yesmaximal, characteristic, complemented
6#13126827C211yesmaximal, characteristic, complemented
7#13126797C211yesmaximal, characteristic, complemented
8#13126738C211yesmaximal, characteristic, complemented
9#13126686C211yesmaximal, characteristic, complemented
10#13126544C211yesmaximal, characteristic, complemented
11#13126517C211yesmaximal, characteristic, complemented
12#13126468C211yesmaximal, characteristic, complemented
13#13126443C211yesmaximal, characteristic, complemented
14#13126422C211yesmaximal, characteristic, complemented
15#13126372C211yesmaximal, characteristic, complemented
16#13126332C211yesmaximal, characteristic, complemented
17#13126317C211yesmaximal, characteristic, complemented
18#13125823C211yesmaximal, characteristic, complemented
19#13125801C211yesmaximal, characteristic, complemented
20#13125718C211yesmaximal, characteristic, complemented
21#13125703C211yesmaximal, characteristic, complemented
22#13125697C211yesmaximal, characteristic, complemented
23#13125688C211yesmaximal, characteristic, complemented
24#13124945C211yesmaximal, characteristic, complemented
25#13124896C211yesmaximal, characteristic, complemented
26#13124151C211yesmaximal, characteristic, complemented
27#13124140C211yesmaximal, characteristic, complemented
28#13124122C211yesmaximal, characteristic, complemented
29#13124104C211yesmaximal, characteristic, complemented
30#13123912C211yesmaximal, characteristic, complemented
31C13×#3500C211yesmaximal, characteristic, complemented
32C2×C13×2−1+4C2211yescharacteristic, complemented
33C2×C13×H(5,𝔽2)C2211yescharacteristic, complemented
34C13×#548C2211yescharacteristic
35C13×#548C2211yescharacteristic, complemented
36C13×#548C2211yescharacteristic, complemented
37C13×#548C2211yescharacteristic, complemented
38C13×#546—21no—
39C13×#546—21no—
40C13×#546—21no—
41C13×#546—21no—
42C13×#546C2211yescharacteristic
43C13×#546C2211yescharacteristic, complemented
44C13×#546C2211yescharacteristic, complemented
45C13×#546C2211yescharacteristic, complemented
46C13×#536—21no—
47C13×#536C2211yescharacteristic, complemented
48C13×#535—21no—
49C13×#535C2211yescharacteristic, complemented
50C13×#532—21no—
51C13×#532C2211yescharacteristic
52C2×C13×#124—21no—
53C2×C13×#124C2211yescharacteristic, complemented
54C4×C13×#41C2211yescharacteristic, complemented
55#11719538C2211yescharacteristic
56#11719538C2211yescharacteristic, complemented
57#11719535C2211yescharacteristic
58#11719535C2211yescharacteristic, complemented
59C2×#88204C2211yescharacteristic, complemented
60C2×#88204C2211yescharacteristic, complemented
61C2×#88203C2211yescharacteristic
62C2×#88203C2211yescharacteristic, complemented
63C2×#88196C2211yescharacteristic, complemented
64C22×#6106C2211yescharacteristic, complemented
65C2×#88186C2211yescharacteristic, complemented
66C22×#6104C2211yescharacteristic
67#11719438—21no—
68#11719420—21no—
69#11719383—21no—
70#11719383—21no—
71#11719325—21no—
72#11719325—21no—
73#11719317—21no—
74#11719304—21no—
75#11719270C2211yescharacteristic, complemented
76#11719270C2211yescharacteristic, complemented
77#11719260C2211yescharacteristic, complemented
78#11719258C2211yescharacteristic, complemented
79#11719255C2211yescharacteristic, complemented
80#11719255C2211yescharacteristic, complemented
81D4×D52C2211yescharacteristic, complemented
82#11719247C2211yescharacteristic, complemented
83#11719184C2211yescharacteristic, complemented
84#11719182C2211yescharacteristic, complemented
85#11718900C2211yescharacteristic, complemented
86#11718900C2211yescharacteristic, complemented
87#11718900C2211yescharacteristic, complemented
88#11718899C2211yescharacteristic
89#11718899C2211yescharacteristic
90#11718899C2211yescharacteristic
91#11718899C2211yescharacteristic, complemented
92#11718899C2211yescharacteristic, complemented
93#11718899C2211yescharacteristic, complemented
94#11718899C2211yescharacteristic, complemented
95#11718899C2211yescharacteristic, complemented
96#11718899C2211yescharacteristic, complemented
97#11718895C2211yescharacteristic, complemented
98#11718895C2211yescharacteristic, complemented
99#11718895C2211yescharacteristic, complemented
100#11718895C2211yescharacteristic, complemented
101#11718894C2211yescharacteristic, complemented
102#11718894C2211yescharacteristic, complemented
103#11718893C2211yescharacteristic, complemented
104#11718893C2211yescharacteristic, complemented
105#11718889C2211yescharacteristic, complemented
106#11718889C2211yescharacteristic, complemented
107#11718888C2211yescharacteristic, complemented
108#11718888C2211yescharacteristic, complemented
109#11718888C2211yescharacteristic, complemented
110#11718888C2211yescharacteristic, complemented
111#11718888C2211yescharacteristic, complemented
112#11718888C2211yescharacteristic, complemented
113#11718886C2211yescharacteristic, complemented
114C2×#88075C2211yescharacteristic, complemented
115#11718879C2211yescharacteristic, complemented
116#11718879C2211yescharacteristic, complemented
117#11718878C2211yescharacteristic
118#11718878C2211yescharacteristic
119#11718878C2211yescharacteristic
120#11718878C2211yescharacteristic, complemented
121#11718878C2211yescharacteristic, complemented
122#11718878C2211yescharacteristic, complemented
123#11718876C2211yescharacteristic, complemented
124C2×#88072C2211yescharacteristic, complemented
125#11718720C2211yescharacteristic, complemented
126#11718720C2211yescharacteristic, complemented
127#11718719C2211yescharacteristic, complemented
128#11718719C2211yescharacteristic, complemented
129#11718718C2211yescharacteristic, complemented
130#11718718C2211yescharacteristic, complemented
131#11718718C2211yescharacteristic, complemented
132#11718718C2211yescharacteristic, complemented
133#11718718C2211yescharacteristic, complemented
134#11718718C2211yescharacteristic, complemented
135#11718717C2211yescharacteristic, complemented
136#11718717C2211yescharacteristic, complemented
137#11718716C2211yescharacteristic, complemented
138#11718716C2211yescharacteristic, complemented
139#11718715C2211yescharacteristic, complemented
140#11718715C2211yescharacteristic, complemented
141#11718713C2211yescharacteristic, complemented
142#11718712C2211yescharacteristic, complemented
143#11718710C2211yescharacteristic, complemented
144#11718710C2211yescharacteristic, complemented
145#11718710C2211yescharacteristic, complemented
146#11718709C2211yescharacteristic, complemented
147#11718709C2211yescharacteristic, complemented
148#11718709C2211yescharacteristic, complemented
149#11718708C2211yescharacteristic, complemented
150#11718708C2211yescharacteristic, complemented
151#11718707C2211yescharacteristic, complemented
152#11718707C2211yescharacteristic, complemented
153#11718706C2211yescharacteristic, complemented
154#11718706C2211yescharacteristic, complemented
155#11718705C2211yescharacteristic, complemented
156#11718704C2211yescharacteristic, complemented
157#11718703C2211yescharacteristic, complemented
158#11718702C2211yescharacteristic, complemented
159#11718700C2211yescharacteristic, complemented
160#11718700C2211yescharacteristic, complemented
161#11718700C2211yescharacteristic, complemented
162#11718699C2211yescharacteristic, complemented
163#11718699C2211yescharacteristic, complemented
164#11718699C2211yescharacteristic, complemented
165#11718698C2211yescharacteristic, complemented
166#11718698C2211yescharacteristic, complemented
167#11718697C2211yescharacteristic, complemented
168#11718697C2211yescharacteristic, complemented
169#11718696C2211yescharacteristic, complemented
170#11718696C2211yescharacteristic, complemented
171#11718695C2211yescharacteristic, complemented
172#11718694C2211yescharacteristic, complemented
173#11718691C2211yescharacteristic, complemented
174#11718689C2211yescharacteristic, complemented
175#11718688C2211yescharacteristic, complemented
176#11718687C2211yescharacteristic, complemented
177C4×#6106C2211yescharacteristic, complemented
178C4×#6106C2211yescharacteristic, complemented
179#11718683C2211yescharacteristic, complemented
180#11718682C2211yescharacteristic, complemented
181#11718679C2211yescharacteristic, complemented
182#11718677C2211yescharacteristic, complemented
183#11718676C2211yescharacteristic, complemented
184#11718675C2211yescharacteristic, complemented
185C4×#6104C2211yescharacteristic, complemented
186C4×#6104C2211yescharacteristic, complemented
187#11718673C2211yescharacteristic, complemented
188#11718673C2211yescharacteristic, complemented
189#11718672C2211yescharacteristic, complemented
190#11718672C2211yescharacteristic, complemented
191#11718672C2211yescharacteristic, complemented
192#11718672C2211yescharacteristic, complemented
193D4×#1055C2211yescharacteristic, complemented
194D4×#1055C2211yescharacteristic, complemented
195#11718670C2211yescharacteristic, complemented
196#11718669C2211yescharacteristic, complemented
197#11718664C2211yescharacteristic, complemented
198#11718664C2211yescharacteristic, complemented
199#11718664C2211yescharacteristic, complemented
200#11718657C2211yescharacteristic, complemented
201#11718587C2211yescharacteristic, complemented
202#11718586C2211yescharacteristic, complemented
203C13×2−1+4—42no—
204C13×2−1+4—42no—
205C13×H(5,𝔽2)—42no—
206C13×H(5,𝔽2)—42no—
207C2×C13×#41—21no—
208C2×C13×#41—21no—
209C2×C13×#41—21no—
210C2×C13×#41—21no—
211C2×C13×#41C2311yescharacteristic
212C2×C13×#41C2311yescharacteristic
213C2×C13×#41C2311yescharacteristic
214C2×C13×#41C2311yescharacteristic
215C2×C13×#41C2311yescharacteristic
216C2×C13×#41C2311yescharacteristic
217C2×C13×#41C2311yescharacteristic
218C22×Q8×C13—21no—
219C22×Q8×C13C2311yescharacteristic
220C22×Q8×C13C2311yescharacteristic
221C22×Q8×C13C2311yescharacteristic
222C22×D4×C13—21no—
223C22×D4×C13—21no—
224C22×D4×C13—21no—
225C22×D4×C13C2311yescharacteristic
226C22×D4×C13C2311yescharacteristic
227C22×D4×C13C2311yescharacteristic
228C2×#6129—21no—
229C2×D4×D13—21no—
230C2×#6127—21no—
231C2×#6127C2311yescharacteristic
232C2×#6127C2311yescharacteristic
233C22×D52C2311yescharacteristic
234C22×D52C2311yescharacteristic
235C13×C4⋊Q8—21no—
236C13×C4⋊Q8D411yescharacteristic
237C13×#127—21no—
238C13×#127D411yescharacteristic
239C13×#124—21no—
240C13×#124—21no—
241C13×#124—21no—
242C13×#124—21no—
243C13×#124—21no—
244C13×#124—21no—
245C13×#124—21no—
246C13×#124—21no—
247C13×#124D411yescharacteristic
248C13×#124D411yescharacteristic
249C13×#124C2311yescharacteristic
250C13×#124C2311yescharacteristic
251C13×#124C2311yescharacteristic
252C13×#124C2311yescharacteristic
253C13×#123—21no—
254C13×#123—21no—
255C13×#123—21no—
256C13×#123—21no—
257C13×#123—21no—
258C13×#123—21no—
259C13×C22⋊Q8—21no—
260C13×C22⋊Q8—21no—
261C13×C22⋊Q8—21no—
262C13×C22⋊Q8—21no—
263C13×C22⋊Q8C2311yescharacteristic
264C13×C22⋊Q8C2311yescharacteristic
265C13×C22⋊Q8C2311yescharacteristic
266C13×C22⋊Q8C2311yescharacteristic
267C13×#121—21no—
268C13×#121—21no—
269C13×#121—21no—
270C13×#121—21no—
271C13×#121—21no—
272C13×#121—21no—
273C13×#121—21no—
274C13×#121—21no—
275C13×#121D411yescharacteristic
276C13×#121D411yescharacteristic
277C13×#121D411yescharacteristic
278C13×#121D411yescharacteristic
279C13×#121C2311yescharacteristic
280C13×#121C2311yescharacteristic
281C13×#121C2311yescharacteristic
282C13×#121C2311yescharacteristic
283C13×#120—21no—
284C13×#120—21no—
285C13×#120—21no—
286C13×#120—21no—
287C13×#120—21no—
288C13×#120—21no—
289C4×Q8×C13C2311yescharacteristic
290C4×Q8×C13C2311yescharacteristic
291C4×D4×C13—21no—
292C4×D4×C13—21no—
293C4×D4×C13—21no—
294C4×D4×C13—21no—
295C4×D4×C13—21no—
296C4×D4×C13—21no—
297C4×D4×C13C2311yescharacteristic
298C4×D4×C13C2311yescharacteristic
299C4×D4×C13C2311yescharacteristic
300C4×D4×C13C2311yescharacteristic
301C4×D4×C13C2311yescharacteristic
302C4×D4×C13C2311yescharacteristic
303C13×#117—21no—
304C13×#117C2311yescharacteristic
305C2×C13×C22⋊C4—21no—
306C2×C13×C22⋊C4—21no—
307C2×C13×C22⋊C4—21no—
308C2×C13×C22⋊C4—21no—
309C2×C13×C22⋊C4—21no—
310C2×C13×C22⋊C4—21no—
311C2×C42×C13—21no—
312C2×C42×C13C2311yescharacteristic
313#88204—42no—
314#88204—42no—
315#88203—42no—
316#88203—42no—
317#88201—21no—
318#88201—21no—
319#88200—21no—
320#88200—21no—
321C2×#6107C2311yescharacteristic
322C2×#6107C2311yescharacteristic
323C2×#6107C2311yescharacteristic
324#88196—42no—
325C2×#6106—42no—
326C2×#6106C2311yescharacteristic
327C2×#6106C2311yescharacteristic
328C2×#6106C2311yescharacteristic
329C2×#6106C2311yescharacteristic
330C2×#6106C2311yescharacteristic
331C2×#6106C2311yescharacteristic
332C2×#6106C2311yescharacteristic
333C2×#6106C2311yescharacteristic
334C2×#6106C2311yescharacteristic
335#88194—21no—
336#88194—21no—
337#88194—21no—
338#88193—21no—
339#88193—21no—
340#88193—21no—
341#88193—21no—
342#88193—21no—
343#88193—21no—
344#88192—21no—
345#88192—21no—
346#88191—21no—
347#88191—21no—
348#88191—21no—
349#88191—21no—
350#88191—21no—
351#88191—21no—
352#88190—21no—
353C2×#6105C2311yescharacteristic
354C2×#6105C2311yescharacteristic
355C2×#6105C2311yescharacteristic
356#88186—42no—
357C2×#6104—42no—
358C2×#6104C2311yescharacteristic
359C2×#6104C2311yescharacteristic
360C2×#6104C2311yescharacteristic
361C2×#6104C2311yescharacteristic
362C2×#6104C2311yescharacteristic
363C2×#6104C2311yescharacteristic
364C2×#6104C2311yescharacteristic
365C2×#6104C2311yescharacteristic
366C2×#6104C2311yescharacteristic
367#88184—21no—
368#88184C2311yescharacteristic
369#88184C2311yescharacteristic
370#88184C2311yescharacteristic
371#88184C2311yescharacteristic
372#88184C2311yescharacteristic
373#88184C2311yescharacteristic
374#88184C2311yescharacteristic
375#88184C2311yescharacteristic
376#88184C2311yescharacteristic
377#88183—21no—
378C4×C22⋊D13—21no—
379#88180C2311yescharacteristic
380#88180C2311yescharacteristic
381C2×C4⋊Dic13C2311yescharacteristic
382C2×C4⋊Dic13C2311yescharacteristic
383#88178C2311yescharacteristic
384#88178C2311yescharacteristic
385#88178C2311yescharacteristic
386C2×#6099C2311yescharacteristic
387C2×#6099C2311yescharacteristic
388C2×#6099C2311yescharacteristic
389C2×#6099C2311yescharacteristic
390C22×#1055C2311yescharacteristic
391C22×#1055C2311yescharacteristic
392C22×#1055C2311yescharacteristic
393C22×#1055C2311yescharacteristic
394#88152—21no—
395#88152—21no—
396#88151—21no—
397#88149—21no—
398#88148—21no—
399#88148—21no—
400#88147—21no—
401#88141—21no—
402#88140—21no—
403#88140—21no—
404#88138—21no—
405#88138—21no—
406#88138—21no—
407#88138—21no—
408#88137—21no—
409#88137—21no—
410#88136—21no—
411#88136—21no—
412#88135—21no—
413#88135—21no—
414C22⋊C4×D13—21no—
415C22⋊C4×D13—21no—
416#88133—21no—
417#88133—21no—
418#88130—21no—
419#88129—21no—
420#88129C2311yescharacteristic
421#88128C2311yescharacteristic
422C4×D52—21no—
423C4×D52C2311yescharacteristic
424C4×D52C2311yescharacteristic
425C4×D52C2311yescharacteristic
426#88126—21no—
427#88124C2311yescharacteristic
428#88123C2311yescharacteristic
429C4×Dic26C2311yescharacteristic
430#88075C2311yescharacteristic
431#88075C2311yescharacteristic
432#88075C2311yescharacteristic
433#88075C2311yescharacteristic
434#88075C2311yescharacteristic
435#88075C2311yescharacteristic
436#88075C2311yescharacteristic
437#88075C2311yescharacteristic
438#88075C2311yescharacteristic
439#88075C2311yescharacteristic
440#88075C2311yescharacteristic
441#88075C2311yescharacteristic
442#88072C2311yescharacteristic
443#88072C2311yescharacteristic
444#88072C2311yescharacteristic
445#88072C2311yescharacteristic
446#88072C2311yescharacteristic
447#88072C2311yescharacteristic
448#88072C2311yescharacteristic
449#88072C2311yescharacteristic
450#88072C2311yescharacteristic
451#88072C2311yescharacteristic
452#88072C2311yescharacteristic
453#88072C2311yescharacteristic
454C22⋊#1055C2311yescharacteristic
455C22⋊#1055C2311yescharacteristic
456C22⋊#1055C2311yescharacteristic
457C22⋊#1055C2311yescharacteristic
458C22⋊#1055C2311yescharacteristic
459C22⋊#1055C2311yescharacteristic
460C22⋊#1055C2311yescharacteristic
461C22⋊#1055C2311yescharacteristic
462C22⋊#1055C2311yescharacteristic
463C22⋊#1055C2311yescharacteristic
464C22⋊#1055C2311yescharacteristic
465C22⋊#1055C2311yescharacteristic
466#88050C2311yescharacteristic
467#88050C2311yescharacteristic
468#88049C2311yescharacteristic
469#88049C2311yescharacteristic
470#88049C2311yescharacteristic
471#88049C2311yescharacteristic
472#88049C2311yescharacteristic
473#88049C2311yescharacteristic
474#88048C2311yescharacteristic
475#88048C2311yescharacteristic
476#88048C2311yescharacteristic
477#88048C2311yescharacteristic
478#88047C2311yescharacteristic
479#88047C2311yescharacteristic
480#88047C2311yescharacteristic
481#88047C2311yescharacteristic
482C4⋊#1055C2311yescharacteristic
483C4⋊#1055C2311yescharacteristic
484C4⋊#1055C2311yescharacteristic
485C4⋊#1055C2311yescharacteristic
486#88043C2311yescharacteristic
487#88043C2311yescharacteristic
488C4×#1055C2311yescharacteristic
489C4×#1055C2311yescharacteristic
490#61690—131nomaximal, Sylow
491C24×C13—21no—
492C24×C13—21no—
493C24×C13—21no—
494C23×D13—21no—
495C23×D13—21no—
496C13×#41—22no—
497C13×#41—22no—
498C13×#41—22no—
499C13×#41—22no—
500C13×#41—22no—
501C13×#41—22no—
502C13×#41—41no—
503C13×#41—41no—
504C13×#41—41no—
505C13×#41—41no—
506C13×#41—41no—
507C13×#41—41no—
508C13×#41—41no—
509C13×#41—41no—
510C13×#41—44no—
511C13×#41—44no—
512C13×#41—44no—
513C13×#41—44no—
514C2×Q8×C13—21no—
515C2×Q8×C13—21no—
516C2×Q8×C13—21no—
517C2×Q8×C13—22no—
518C2×Q8×C13—22no—
519C2×Q8×C13—41no—
520C2×Q8×C13—41no—
521C2×Q8×C13—41no—
522C2×Q8×C13—41no—
523C2×Q8×C13—44no—
524C2×Q8×C13C2×D411yescharacteristic
525C2×Q8×C13C2×D411yescharacteristic
526C2×Q8×C13C2411yescharacteristic
527C2×Q8×C13C2411yescharacteristic
528C2×Q8×C13C2411yescharacteristic
529C2×D4×C13—21no—
530C2×D4×C13—22no—
531C2×D4×C13—22no—
532C2×D4×C13—21no—
533C2×D4×C13—21no—
534C2×D4×C13—21no—
535C2×D4×C13—21no—
536C2×D4×C13—21no—
537C2×D4×C13—21no—
538C2×D4×C13—21no—
539C2×D4×C13—21no—
540C2×D4×C13—21no—
541C2×D4×C13—21no—
542C2×D4×C13—21no—
543C2×D4×C13—41no—
544C2×D4×C13—41no—
545C2×D4×C13—41no—
546C2×D4×C13—41no—
547C2×D4×C13—44no—
548C2×D4×C13—44no—
549C2×D4×C13—44no—
550C2×D4×C13C2×D411yescharacteristic
551C2×D4×C13C2×D411yescharacteristic
552C2×D4×C13C2×D411yescharacteristic
553C2×D4×C13C2×D411yescharacteristic
554C2×D4×C13C2×D411yescharacteristic
555C2×D4×C13C2×D411yescharacteristic
556C2×D4×C13C2×D411yescharacteristic
557C2×D4×C13C2×D411yescharacteristic
558C2×D4×C13C2×D411yescharacteristic
559C2×D4×C13C2×D411yescharacteristic
560C2×D4×C13C2411yescharacteristic
561C2×D4×C13C2411yescharacteristic
562C2×D4×C13C2411yescharacteristic
563C22×C4×C13—21no—
564C22×C4×C13—21no—
565C22×C4×C13—21no—
566C22×C4×C13—21no—
567C22×C4×C13—21no—
568C22×C4×C13—21no—
569C22×C4×C13—21no—
570C22×C4×C13—21no—
571C22×C4×C13—21no—
572C22×C4×C13—21no—
573C22×C4×C13C2×D411yescharacteristic
574C22×C4×C13C2×D411yescharacteristic
575C22×C4×C13C2411yescharacteristic
576C22×C4×C13C2411yescharacteristic
577C22×C4×C13C2411yescharacteristic
578C22×C4×C13C2411yescharacteristic
579C22×C4×C13C2411yescharacteristic
580C2×C22⋊D13—21no—
581C2×C22⋊D13—21no—
582C2×C22⋊D13—21no—
583C2×C22⋊D13—21no—
584C2×C22⋊D13—21no—
585C2×C22⋊D13—21no—
586C2×C22⋊D13—21no—
587C2×C22⋊D13—21no—
588C2×C22⋊D13—21no—
589C2×C22⋊D13—21no—
590C2×C22⋊D13—21no—
591C22×Dic13—21no—
592C22×Dic13—21no—
593#6129—82no—
594D4×D13—82no—
595#6127—41no—
596#6127—41no—
597#6127—41no—
598#6127—41no—
599#6127—82no—
600C2×D52—21no—
601C2×D52—21no—
602C2×D52—21no—
603C2×D52—21no—
604C2×D52—41no—
605C2×D52—41no—
606C2×D52—41no—
607C2×D52—41no—
608C2×D52C2411yescharacteristic
609C2×D52C2411yescharacteristic
610C2×D52C2411yescharacteristic
611C2×C4×D13—21no—
612C2×C4×D13—21no—
613C2×C4×D13—21no—
614C2×C4×D13—21no—
615C2×C4×D13—21no—
616C2×Dic26—21no—
617C2×Dic26C2411yescharacteristic
618C13×C4⋊C4—21no—
619C13×C4⋊C4—21no—
620C13×C4⋊C4—21no—
621C13×C4⋊C4—21no—
622C13×C4⋊C4—21no—
623C13×C4⋊C4—21no—
624C13×C4⋊C4C2×D411yescharacteristic
625C13×C4⋊C4C2×D411yescharacteristic
626C13×C4⋊C4C2×D411yescharacteristic
627C13×C4⋊C4C2×D411yescharacteristic
628C13×C4⋊C4C2411yescharacteristic
629C13×C4⋊C4C2411yescharacteristic
630C13×C22⋊C4—21no—
631C13×C22⋊C4—21no—
632C13×C22⋊C4—21no—
633C13×C22⋊C4—21no—
634C13×C22⋊C4—21no—
635C13×C22⋊C4—21no—
636C13×C22⋊C4—21no—
637C13×C22⋊C4—21no—
638C13×C22⋊C4—21no—
639C13×C22⋊C4—21no—
640C13×C22⋊C4—21no—
641C13×C22⋊C4—21no—
642C13×C22⋊C4—21no—
643C13×C22⋊C4—21no—
644C13×C22⋊C4—21no—
645C13×C22⋊C4—21no—
646C13×C22⋊C4—21no—
647C13×C22⋊C4—21no—
648C13×C22⋊C4—21no—
649C13×C22⋊C4C2×D411yescharacteristic
650C13×C22⋊C4C2×D411yescharacteristic
651C13×C22⋊C4C2×D411yescharacteristic
652C13×C22⋊C4C2×D411yescharacteristic
653C13×C22⋊C4C2×D411yescharacteristic
654C13×C22⋊C4C2×D411yescharacteristic
655C13×C22⋊C4C2×D411yescharacteristic
656C13×C22⋊C4C2×D411yescharacteristic
657C42×C13—21no—
658C42×C13—21no—
659C42×C13—21no—
660C42×C13C2×D411yescharacteristic
661C42×C13C2×D411yescharacteristic
662C42×C13C2411yescharacteristic
663C42×C13C2411yescharacteristic
664C22⋊Dic13—21no—
665C22⋊Dic13—21no—
666C22⋊Dic13—21no—
667C22⋊Dic13—21no—
668C22⋊Dic13—21no—
669#6107—22no—
670#6107—41no—
671#6107—41no—
672#6106—22no—
673#6106—22no—
674#6106—22no—
675#6106—41no—
676#6106—41no—
677#6106—41no—
678#6106—41no—
679#6106—41no—
680#6106—41no—
681#6105—22no—
682#6105—41no—
683#6105—41no—
684#6104—22no—
685#6104—22no—
686#6104—22no—
687#6104—41no—
688#6104—41no—
689#6104—41no—
690#6104—41no—
691#6104—41no—
692#6104—41no—
693#6103—21no—
694#6103—21no—
695#6103—21no—
696#6103—21no—
697#6103—21no—
698#6103—21no—
699#6103—21no—
700#6103—21no—
701#6103—21no—
702#6103—21no—
703#6103—21no—
704#6103—21no—
705#6103—21no—
706#6103—21no—
707C4⋊Dic13—21no—
708C4⋊Dic13—21no—
709C4⋊Dic13—21no—
710C4⋊Dic13C2411yescharacteristic
711C4⋊Dic13C2411yescharacteristic
712C4⋊Dic13C2411yescharacteristic
713C4⋊Dic13C2411yescharacteristic
714#6101—21no—
715#6101—21no—
716#6101—21no—
717#6101—21no—
718#6101—21no—
719#6101—21no—
720C4×Dic13—21no—
721C4×Dic13—21no—
722C4×Dic13—21no—
723#6099—41no—
724#6099—41no—
725#6099—41no—
726#6099—41no—
727C2×#1055—41no—
728C2×#1055—41no—
729C2×#1055—41no—
730C2×#1055—41no—
731C2×#1055C2411yescharacteristic
732C2×#1055C2411yescharacteristic
733C2×#1055C2411yescharacteristic
734C2×#1055C2411yescharacteristic
735C2×#1055C2411yescharacteristic
736C2×#1055C2411yescharacteristic
737C2×#1055C2411yescharacteristic
738C2×#1055C2411yescharacteristic
739#3546—131no—
740#3500D1311yescharacteristic, complemented
741#3326—131no—
742#3322—131no—
743#3313—131no—
744#3311—131no—
745#3308—131no—
746#3306—131no—
747#3301—131no—
748#3297—131no—
749#3282—131no—
750#3280—131no—
751#3275—131no—
752#3273—131no—
753#3271—131no—
754#3268—131no—
755#3265—131no—
756#3264—131no—
757#3213—131no—
758#3211—131no—
759#3201—131no—
760#3200—131no—
761#3199—131no—
762#3198—131no—
763#3111—131no—
764#3106—131no—
765#3013—131no—
766#3012—131no—
767#3010—131no—
768#3008—131no—
769#2981—131no—
770C23×C13—21no—
771C23×C13—21no—
772C23×C13—21no—
773C23×C13—42no—
774C23×C13—42no—
775C23×C13—42no—
776C23×C13—81no—
777C23×C13—81no—
778C23×C13—81no—
779C23×C13—81no—
780C23×C13—81no—
781C23×C13—81no—
782C23×C13C22×D411yescharacteristic
783C23×C13C22×D411yescharacteristic
784C23×C13C22×D411yescharacteristic
785C23×C13C22×D411yescharacteristic
786C23×C13C22×D411yescharacteristic
787C22×D13—21no—
788C22×D13—21no—
789C22×D13—21no—
790C22×D13—81no—
791C22×D13—81no—
792C22×D13—81no—
793C22×D13—81no—
794C22×D13—81no—
795C22×D13—81no—
796Q8×C13—21no—
797Q8×C13—21no—
798Q8×C13—21no—
799Q8×C13—21no—
800Q8×C13—21no—
801Q8×C13—41no—
802Q8×C13—41no—
803Q8×C13—42no—
804Q8×C13—42no—
805Q8×C13—42no—
806Q8×C13H(5,𝔽2)12yes—
807D4×C13—24no—
808D4×C13—21no—
809D4×C13—21no—
810D4×C13—21no—
811D4×C13—21no—
812D4×C13—21no—
813D4×C13—41no—
814D4×C13—41no—
815D4×C13—41no—
816D4×C13—41no—
817D4×C13—41no—
818D4×C13—41no—
819D4×C13—41no—
820D4×C13—41no—
821D4×C13—41no—
822D4×C13—41no—
823D4×C13—42no—
824D4×C13—42no—
825D4×C13—42no—
826D4×C13—42no—
827D4×C13—42no—
828D4×C13—42no—
829D4×C13—42no—
830D4×C13—81no—
831D4×C13—81no—
832D4×C13—81no—
833D4×C13—81no—
834D4×C13H(5,𝔽2)12yes—
835C2×C4×C13—24no—
836C2×C4×C13—21no—
837C2×C4×C13—21no—
838C2×C4×C13—21no—
839C2×C4×C13—21no—
840C2×C4×C13—21no—
841C2×C4×C13—21no—
842C2×C4×C13—21no—
843C2×C4×C13—21no—
844C2×C4×C13—21no—
845C2×C4×C13—21no—
846C2×C4×C13—21no—
847C2×C4×C13—21no—
848C2×C4×C13—21no—
849C2×C4×C13—21no—
850C2×C4×C13—21no—
851C2×C4×C13—41no—
852C2×C4×C13—41no—
853C2×C4×C13—42no—
854C2×C4×C13—42no—
855C2×C4×C13—42no—
856C2×C4×C13—42no—
857C2×C4×C13—42no—
858C2×C4×C13—42no—
859C2×C4×C13—42no—
860C2×C4×C13—81no—
861C2×C4×C13—81no—
862C2×C4×C13C22×D411yescharacteristic
863C2×C4×C13C22×D411yescharacteristic
864C2×C4×C13C22×D411yescharacteristic
865C2×C4×C13C22×D411yescharacteristic
866C2×C4×C13C22×D411yescharacteristic
867C2×C4×C13C22×D411yescharacteristic
868C2×C4×C13C22×D411yescharacteristic
869C2×C4×C13C22×D411yescharacteristic
870C2×C4×C13C22×D411yescharacteristic
871C2×C4×C13C2511yescharacteristic
872C22⋊D13—81no—
873C22⋊D13—81no—
874C22⋊D13—81no—
875C22⋊D13—81no—
876C22⋊D13—81no—
877C22⋊D13—81no—
878C22⋊D13—81no—
879C22⋊D13—81no—
880C22⋊D13—81no—
881C22⋊D13—81no—
882C22⋊D13—81no—
883C2×Dic13—21no—
884C2×Dic13—21no—
885C2×Dic13—21no—
886C2×Dic13—21no—
887C2×Dic13—21no—
888C2×Dic13—81no—
889C2×Dic13—81no—
890D52—21no—
891D52—21no—
892D52—21no—
893D52—21no—
894D52—21no—
895D52—21no—
896D52—42no—
897D52—81no—
898D52—81no—
899D52—81no—
900C4×D13—42no—
901C4×D13—81no—
902C4×D13—81no—
903C4×D13—81no—
904C4×D13—81no—
905Dic26—21no—
906Dic26—21no—
907Dic26—42no—
908#1055—21no—
909#1055—21no—
910#1055—21no—
911#1055—21no—
912#1055—21no—
913#1055—21no—
914#1055—21no—
915#1055—21no—
916C2×2−1+4C2×D1311yescharacteristic, complemented
917C2×H(5,𝔽2)C2×D1311yescharacteristic, complemented
918C2×#137—131no—
919C2×AGL(1,ℤ/8)—131no—
920C2×AGL(1,ℤ/8)—131no—
921C2×AGL(1,ℤ/8)—131no—
922C2×#135—131no—
923C2×#135—131no—
924C22×SD16—131no—
925C22×D8—131no—
926#560—261no—
927#560—261no—
928#556—131no—
929#553—131no—
930#553—131no—
931#550—131no—
932#550—261no—
933#548C2×D1311yescharacteristic
934#548C2×D1311yescharacteristic, complemented
935#548C2×D1311yescharacteristic, complemented
936#548C2×D1311yescharacteristic, complemented
937#547—131no—
938#546—21no—
939#546—21no—
940#546—21no—
941#546—21no—
942#546—131no—
943#546—131no—
944#546—261no—
945#546C2×D1311yescharacteristic
946#546C2×D1311yescharacteristic, complemented
947#546C2×D1311yescharacteristic, complemented
948#546C2×D1311yescharacteristic, complemented
949D42—131no—
950#542—261no—
951#538—261no—
952#538—261no—
953#537—131no—
954#537—131no—
955#536—21no—
956#536C2×D1311yescharacteristic, complemented
957#535—21no—
958#535—131no—
959#535—131no—
960#535—261no—
961#535C2×D1311yescharacteristic, complemented
962#532—21no—
963#532—131no—
964#532C2×D1311yescharacteristic
965#529—131no—
966C2×#124—21no—
967C2×#124C2×D1311yescharacteristic, complemented
968C4×#41C2×D1311yescharacteristic, complemented
969#496—131no—
970#496—131no—
971#495—131no—
972#495—131no—
973#489—131no—
974#489—131no—
975#488—131no—
976#488—131no—
977#485—131no—
978#485—131no—
979#485—131no—
980#484—131no—
981#483—131no—
982#482—131no—
983#482—131no—
984#482—131no—
985#482—131no—
986#482—131no—
987#481—131no—
988#480—131no—
989#479—131no—
990#478—131no—
991#477—131no—
992#476—131no—
993#470—131no—
994#469—131no—
995#469—131no—
996#469—131no—
997#468—131no—
998#468—131no—
999#468—131no—
1000#468—131no—
1001#467—131no—
1002#466—131no—
1003#466—131no—
1004#466—131no—
1005#465—131no—
1006#465—131no—
1007#465—131no—
1008#465—131no—
1009#464—131no—
1010#464—131no—
1011#464—131no—
1012#463—131no—
1013#463—131no—
1014#463—131no—
1015#463—131no—
1016#463—131no—
1017#463—131no—
1018#463—131no—
1019#460—131no—
1020#459—131no—
1021#452—131no—
1022#452—131no—
1023#452—131no—
1024#452—131no—
1025#452—131no—
1026#451—131no—
1027#451—131no—
1028#450—131no—
1029#450—131no—
1030#450—131no—
1031#450—131no—
1032#449—131no—
1033#449—131no—
1034#449—131no—
1035#449—131no—
1036#449—131no—
1037#449—131no—
1038#449—131no—
1039#449—131no—
1040#449—131no—
1041#449—131no—
1042#449—131no—
1043#448—131no—
1044#448—131no—
1045#448—131no—
1046#448—131no—
1047#448—131no—
1048#448—131no—
1049#447—131no—
1050#447—131no—
1051#447—131no—
1052#447—131no—
1053#447—131no—
1054#447—131no—
1055#447—131no—
1056#447—131no—
1057#442—131no—
1058#441—131no—
1059#440—131no—
1060#440—131no—
1061C4×SD16—131no—
1062C4×SD16—131no—
1063C4×D8—131no—
1064C4×D8—131no—
1065#436—131no—
1066#436—131no—
1067#435—131no—
1068#435—131no—
1069#435—131no—
1070#435—131no—
1071C8×D4—131no—
1072C8×D4—131no—
1073#432—131no—
1074#431—131no—
1075#419—131no—
1076#418—131no—
1077#417—131no—
1078#417—131no—
1079#416—131no—
1080#416—131no—
1081C2×#103—131no—
1082C2×#102—131no—
1083#408—131no—
1084#408—131no—
1085#408—131no—
1086#408—131no—
1087C22×C13—21no—
1088C22×C13—21no—
1089C22×C13—21no—
1090C22×C13—21no—
1091C22×C13—21no—
1092C22×C13—21no—
1093C22×C13—21no—
1094C22×C13—21no—
1095C22×C13—21no—
1096C22×C13—21no—
1097C22×C13—21no—
1098C22×C13—21no—
1099C22×C13—21no—
1100C22×C13—22no—
1101C22×C13—21no—
1102C22×C13—21no—
1103C22×C13—41no—
1104C22×C13—41no—
1105C22×C13—41no—
1106C22×C13—41no—
1107C22×C13—41no—
1108C22×C13—41no—
1109C22×C13—41no—
1110C22×C13—41no—
1111C22×C13—162no—
1112C22×C13—162no—
1113C22×C13—162no—
1114C22×C13C23×D411yescharacteristic
1115C2×D13—41no—
1116C2×D13—41no—
1117C2×D13—41no—
1118C2×D13—41no—
1119C2×D13—41no—
1120C2×D13—41no—
1121C2×D13—41no—
1122C2×D13—41no—
1123C2×D13—41no—
1124C2×D13—162no—
1125C2×D13—162no—
1126C4×C13—21no—
1127C4×C13—21no—
1128C4×C13—21no—
1129C4×C13—21no—
1130C4×C13—21no—
1131C4×C13—21no—
1132C4×C13—21no—
1133C4×C13—21no—
1134C4×C13—21no—
1135C4×C13—22no—
1136C4×C13—41no—
1137C4×C13—41no—
1138C4×C13—41no—
1139C4×C13—41no—
1140C4×C13C2×H(5,𝔽2)11yescharacteristic
1141C4×C13C2×H(5,𝔽2)11yescharacteristic
1142Dic13—41no—
1143Dic13—41no—
1144Dic13—41no—
1145Dic13—41no—
1146Dic13—41no—
11472−1+4—42no—
11482−1+4—42no—
1149H(5,𝔽2)—42no—
1150H(5,𝔽2)—42no—
1151C2×#41—21no—
1152C2×#41—21no—
1153C2×#41—21no—
1154C2×#41—21no—
1155C2×#41—131no—
1156C2×#41—131no—
1157C2×#41—261no—
1158C2×#41—261no—
1159C2×#41C22×D1311yescharacteristic
1160C2×#41C22×D1311yescharacteristic
1161C2×#41C22×D1311yescharacteristic
1162C2×#41C22×D1311yescharacteristic
1163C2×#41C22×D1311yescharacteristic
1164C2×#41C22×D1311yescharacteristic
1165C2×#41C22×D1311yescharacteristic
1166C22×Q8—21no—
1167C22×Q8C22×D1311yescharacteristic
1168C22×Q8C22×D1311yescharacteristic
1169C22×Q8C22×D1311yescharacteristic
1170C22×D4—21no—
1171C22×D4—21no—
1172C22×D4—21no—
1173C22×D4—131no—
1174C22×D4—131no—
1175C22×D4—261no—
1176C22×D4C22×D1311yescharacteristic
1177C22×D4C22×D1311yescharacteristic
1178C22×D4C22×D1311yescharacteristic
1179#137—522no—
1180AGL(1,ℤ/8)—522no—
1181AGL(1,ℤ/8)—522no—
1182AGL(1,ℤ/8)—522no—
1183#135—522no—
1184#135—522no—
1185C2×Q16—131no—
1186C2×Q16—131no—
1187C2×Q16—131no—
1188C2×SD16—131no—
1189C2×SD16—131no—
1190C2×SD16—131no—
1191C2×SD16—131no—
1192C2×SD16—131no—
1193C2×SD16—131no—
1194C2×SD16—131no—
1195C2×SD16—131no—
1196C2×SD16—131no—
1197C2×SD16—131no—
1198C2×SD16—131no—
1199C2×SD16—131no—
1200C2×SD16—522no—
1201C2×D8—131no—
1202C2×D8—131no—
1203C2×D8—131no—
1204C2×D8—131no—
1205C2×D8—131no—
1206C2×D8—131no—
1207C2×D8—131no—
1208C2×D8—131no—
1209C2×D8—131no—
1210C2×D8—522no—
1211C2×M16—131no—
1212C2×M16—131no—
1213C2×M16—131no—
1214C2×M16—131no—
1215C22×C8—131no—
1216C22×C8—131no—
1217C22×C8—131no—
1218C22×C8—131no—
1219C4⋊Q8—21no—
1220C4⋊Q8—131no—
1221C4⋊Q8C22⋊D1311yescharacteristic
1222#127—21no—
1223#127—131no—
1224#127—261no—
1225#127—261no—
1226#127—261no—
1227#127C22⋊D1311yescharacteristic
1228#126—261no—
1229#126—261no—
1230#126—261no—
1231#126—261no—
1232#126—261no—
1233#125—131no—
1234#124—21no—
1235#124—21no—
1236#124—21no—
1237#124—21no—
1238#124—21no—
1239#124—21no—
1240#124—21no—
1241#124—21no—
1242#124—131no—
1243#124—261no—
1244#124—261no—
1245#124—261no—
1246#124—261no—
1247#124C22⋊D1311yescharacteristic
1248#124C22⋊D1311yescharacteristic
1249#124C22×D1311yescharacteristic
1250#124C22×D1311yescharacteristic
1251#124C22×D1311yescharacteristic
1252#124C22×D1311yescharacteristic
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259#123—261no—
1260#123—261no—
1261#123—261no—
1262#123—261no—
1263#123—261no—
1264#123—261no—
1265#123—261no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—131no—
1271C22⋊Q8—131no—
1272C22⋊Q8—131no—
1273C22⋊Q8—261no—
1274C22⋊Q8—261no—
1275C22⋊Q8—261no—
1276C22⋊Q8C22×D1311yescharacteristic
1277C22⋊Q8C22×D1311yescharacteristic
1278C22⋊Q8C22×D1311yescharacteristic
1279C22⋊Q8C22×D1311yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—131no—
1289#121—131no—
1290#121—131no—
1291#121—131no—
1292#121—131no—
1293#121—131no—
1294#121—131no—
1295#121—131no—
1296#121—131no—
1297#121—261no—
1298#121—261no—
1299#121—261no—
1300#121—261no—
1301#121—261no—
1302#121—261no—
1303#121—261no—
1304#121—261no—
1305#121—261no—
1306#121—261no—
1307#121—261no—
1308#121—261no—
1309#121—261no—
1310#121—261no—
1311#121C22⋊D1311yescharacteristic
1312#121C22⋊D1311yescharacteristic
1313#121C22⋊D1311yescharacteristic
1314#121C22⋊D1311yescharacteristic
1315#121C22×D1311yescharacteristic
1316#121C22×D1311yescharacteristic
1317#121C22×D1311yescharacteristic
1318#121C22×D1311yescharacteristic
1319#120—21no—
1320#120—21no—
1321#120—21no—
1322#120—21no—
1323#120—21no—
1324#120—21no—
1325#120—261no—
1326#120—261no—
1327#120—261no—
1328#120—261no—
1329#120—261no—
1330#120—261no—
1331#120—261no—
1332#120—261no—
1333C4×Q8—131no—
1334C4×Q8—261no—
1335C4×Q8C22×D1311yescharacteristic
1336C4×Q8C22×D1311yescharacteristic
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4—21no—
1343C4×D4—131no—
1344C4×D4—131no—
1345C4×D4—131no—
1346C4×D4—261no—
1347C4×D4—261no—
1348C4×D4—261no—
1349C4×D4—261no—
1350C4×D4—261no—
1351C4×D4C22×D1311yescharacteristic
1352C4×D4C22×D1311yescharacteristic
1353C4×D4C22×D1311yescharacteristic
1354C4×D4C22×D1311yescharacteristic
1355C4×D4C22×D1311yescharacteristic
1356C4×D4C22×D1311yescharacteristic
1357#117—21no—
1358#117—131no—
1359#117—131no—
1360#117—261no—
1361#117C22×D1311yescharacteristic
1362C2×C4⋊C4—131no—
1363C2×C4⋊C4—131no—
1364C2×C22⋊C4—21no—
1365C2×C22⋊C4—21no—
1366C2×C22⋊C4—21no—
1367C2×C22⋊C4—21no—
1368C2×C22⋊C4—21no—
1369C2×C22⋊C4—21no—
1370C2×C22⋊C4—261no—
1371C2×C22⋊C4—261no—
1372C2×C42—21no—
1373C2×C42C22×D1311yescharacteristic
1374#107—131no—
1375#107—131no—
1376#107—131no—
1377#107—131no—
1378#106—131no—
1379#106—131no—
1380#106—131no—
1381#106—131no—
1382C4⋊C8—131no—
1383C4⋊C8—131no—
1384C4⋊C8—131no—
1385C4⋊C8—131no—
1386#103—131no—
1387#103—131no—
1388#103—131no—
1389#103—131no—
1390#103—131no—
1391#103—131no—
1392#103—131no—
1393#103—131no—
1394#103—131no—
1395#103—131no—
1396#103—131no—
1397#103—131no—
1398#103—131no—
1399#103—131no—
1400#102—131no—
1401#102—131no—
1402#102—131no—
1403#102—131no—
1404#102—131no—
1405#102—131no—
1406#102—131no—
1407#102—131no—
1408#102—131no—
1409#102—131no—
1410#102—131no—
1411#102—131no—
1412#102—131no—
1413#102—131no—
1414#102—131no—
1415#102—131no—
1416#102—131no—
1417#102—131no—
1418C22⋊C8—131no—
1419C22⋊C8—131no—
1420C22⋊C8—131no—
1421C22⋊C8—131no—
1422C22⋊C8—131no—
1423C22⋊C8—131no—
1424C22⋊C8—131no—
1425C22⋊C8—131no—
1426C22⋊C8—131no—
1427C22⋊C8—131no—
1428C22⋊C8—131no—
1429C22⋊C8—131no—
1430#97—131no—
1431#97—131no—
1432C4×C8—131no—
1433C4×C8—131no—
1434C2×C13—41no—
1435C2×C13—41no—
1436C2×C13—41no—
1437C2×C13—41no—
1438C2×C13—41no—
1439C2×C13—42no—
1440C2×C13—81no—
1441C2×C13—81no—
1442C2×C13#348411yescharacteristic
1443C2×C13#358411yescharacteristic
1444C2×C13#358511yescharacteristic
1445D13—81no—
1446D13—81no—
1447D13—81no—
1448C24—21no—
1449C24—21no—
1450C24—21no—
1451C24—261no—
1452C24—261no—
1453#41—22no—
1454#41—22no—
1455#41—22no—
1456#41—22no—
1457#41—22no—
1458#41—22no—
1459#41—41no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—44no—
1468#41—44no—
1469#41—44no—
1470#41—44no—
1471#41—521no—
1472#41—521no—
1473#41—521no—
1474#41—521no—
1475#41—1042no—
1476#41—1042no—
1477C2×Q8—21no—
1478C2×Q8—21no—
1479C2×Q8—21no—
1480C2×Q8—22no—
1481C2×Q8—22no—
1482C2×Q8—41no—
1483C2×Q8—41no—
1484C2×Q8—41no—
1485C2×Q8—41no—
1486C2×Q8—44no—
1487C2×Q8—131no—
1488C2×Q8—261no—
1489C2×Q8C2×C22⋊D1311yescharacteristic
1490C2×Q8C2×C22⋊D1311yescharacteristic
1491C2×Q8C23×D1311yescharacteristic
1492C2×Q8C23×D1311yescharacteristic
1493C2×Q8C23×D1311yescharacteristic
1494C2×D4—21no—
1495C2×D4—22no—
1496C2×D4—22no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—41no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—131no—
1516C2×D4—131no—
1517C2×D4—131no—
1518C2×D4—261no—
1519C2×D4—261no—
1520C2×D4—261no—
1521C2×D4—261no—
1522C2×D4—261no—
1523C2×D4—261no—
1524C2×D4—261no—
1525C2×D4—261no—
1526C2×D4—261no—
1527C2×D4—261no—
1528C2×D4—261no—
1529C2×D4—261no—
1530C2×D4—261no—
1531C2×D4—261no—
1532C2×D4—261no—
1533C2×D4—521no—
1534C2×D4—521no—
1535C2×D4—521no—
1536C2×D4—521no—
1537C2×D4—1042no—
1538C2×D4C2×C22⋊D1311yescharacteristic
1539C2×D4C2×C22⋊D1311yescharacteristic
1540C2×D4C2×C22⋊D1311yescharacteristic
1541C2×D4C2×C22⋊D1311yescharacteristic
1542C2×D4C2×C22⋊D1311yescharacteristic
1543C2×D4C2×C22⋊D1311yescharacteristic
1544C2×D4C2×C22⋊D1311yescharacteristic
1545C2×D4C2×C22⋊D1311yescharacteristic
1546C2×D4C2×C22⋊D1311yescharacteristic
1547C2×D4C2×C22⋊D1311yescharacteristic
1548C2×D4C23×D1311yescharacteristic
1549C2×D4C23×D1311yescharacteristic
1550C2×D4C23×D1311yescharacteristic
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—261no—
1562C22×C4—261no—
1563C22×C4—261no—
1564C22×C4—261no—
1565C22×C4—261no—
1566C22×C4—261no—
1567C22×C4—261no—
1568C22×C4C2×C22⋊D1311yescharacteristic
1569C22×C4C2×C22⋊D1311yescharacteristic
1570C22×C4C23×D1311yescharacteristic
1571C22×C4C23×D1311yescharacteristic
1572C22×C4C23×D1311yescharacteristic
1573C22×C4C23×D1311yescharacteristic
1574C22×C4C23×D1311yescharacteristic
1575Q16—262no—
1576Q16—521no—
1577Q16—521no—
1578SD16—262no—
1579SD16—262no—
1580SD16—262no—
1581SD16—262no—
1582SD16—521no—
1583SD16—521no—
1584SD16—521no—
1585SD16—521no—
1586SD16—521no—
1587SD16—521no—
1588SD16—521no—
1589SD16—521no—
1590D8—262no—
1591D8—262no—
1592D8—262no—
1593D8—521no—
1594D8—521no—
1595D8—521no—
1596D8—521no—
1597D8—521no—
1598D8—521no—
1599M16—521no—
1600M16—521no—
1601M16—521no—
1602M16—521no—
1603C2×C8—131no—
1604C2×C8—131no—
1605C2×C8—131no—
1606C2×C8—131no—
1607C2×C8—131no—
1608C2×C8—131no—
1609C2×C8—131no—
1610C2×C8—131no—
1611C2×C8—521no—
1612C2×C8—521no—
1613C2×C8—521no—
1614C2×C8—521no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—131no—
1622C4⋊C4—131no—
1623C4⋊C4—131no—
1624C4⋊C4—131no—
1625C4⋊C4—261no—
1626C4⋊C4—261no—
1627C4⋊C4—261no—
1628C4⋊C4—261no—
1629C4⋊C4—261no—
1630C4⋊C4—261no—
1631C4⋊C4—261no—
1632C4⋊C4—261no—
1633C4⋊C4—261no—
1634C4⋊C4C2×C22⋊D1311yescharacteristic
1635C4⋊C4C2×C22⋊D1311yescharacteristic
1636C4⋊C4C2×C22⋊D1311yescharacteristic
1637C4⋊C4C2×C22⋊D1311yescharacteristic
1638C4⋊C4C23×D1311yescharacteristic
1639C4⋊C4C23×D1311yescharacteristic
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—261no—
1660C22⋊C4—261no—
1661C22⋊C4—261no—
1662C22⋊C4—261no—
1663C22⋊C4—261no—
1664C22⋊C4—261no—
1665C22⋊C4—261no—
1666C22⋊C4—261no—
1667C22⋊C4—261no—
1668C22⋊C4—261no—
1669C22⋊C4—261no—
1670C22⋊C4—261no—
1671C22⋊C4—261no—
1672C22⋊C4—261no—
1673C22⋊C4—261no—
1674C22⋊C4—261no—
1675C22⋊C4—261no—
1676C22⋊C4—261no—
1677C22⋊C4—261no—
1678C22⋊C4C2×C22⋊D1311yescharacteristic
1679C22⋊C4C2×C22⋊D1311yescharacteristic
1680C22⋊C4C2×C22⋊D1311yescharacteristic
1681C22⋊C4C2×C22⋊D1311yescharacteristic
1682C22⋊C4C2×C22⋊D1311yescharacteristic
1683C22⋊C4C2×C22⋊D1311yescharacteristic
1684C22⋊C4C2×C22⋊D1311yescharacteristic
1685C22⋊C4C2×C22⋊D1311yescharacteristic
1686C42—21no—
1687C42—21no—
1688C42—21no—
1689C42—261no—
1690C42—261no—
1691C42—261no—
1692C42C2×C22⋊D1311yescharacteristic
1693C42C2×C22⋊D1311yescharacteristic
1694C42C23×D1311yescharacteristic
1695C42C23×D1311yescharacteristic
1696C13#6169011yescharacteristic, complemented, Sylow
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—42no—
1701C23—42no—
1702C23—42no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—81no—
1709C23—261no—
1710C23—261no—
1711C23—261no—
1712C23—1041no—
1713C23—1041no—
1714C23—1041no—
1715C23—1041no—
1716C23—1041no—
1717C23—1041no—
1718C23C22×C22⋊D1311yescharacteristic
1719C23C22×C22⋊D1311yescharacteristic
1720C23C22×C22⋊D1311yescharacteristic
1721C23C22×C22⋊D1311yescharacteristic
1722C23C22×C22⋊D1311yescharacteristic
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—41no—
1729Q8—41no—
1730Q8—42no—
1731Q8—42no—
1732Q8—42no—
1733Q8—261no—
1734Q8—261no—
1735Q8—522no—
1736Q8#8825112yes—
1737D4—24no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—41no—
1744D4—41no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—41no—
1750D4—41no—
1751D4—41no—
1752D4—41no—
1753D4—42no—
1754D4—42no—
1755D4—42no—
1756D4—42no—
1757D4—42no—
1758D4—42no—
1759D4—42no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—81no—
1764D4—261no—
1765D4—261no—
1766D4—261no—
1767D4—261no—
1768D4—261no—
1769D4—261no—
1770D4—522no—
1771D4—1041no—
1772D4—1041no—
1773D4—1041no—
1774D4—1041no—
1775D4—1041no—
1776D4—1041no—
1777D4—1041no—
1778D4—1041no—
1779D4—1041no—
1780D4—1041no—
1781D4—1041no—
1782D4—1041no—
1783D4—1041no—
1784D4—1041no—
1785D4#8825112yes—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—42no—
1805C2×C4—42no—
1806C2×C4—42no—
1807C2×C4—42no—
1808C2×C4—42no—
1809C2×C4—42no—
1810C2×C4—42no—
1811C2×C4—81no—
1812C2×C4—81no—
1813C2×C4—261no—
1814C2×C4—261no—
1815C2×C4—261no—
1816C2×C4—261no—
1817C2×C4—261no—
1818C2×C4—522no—
1819C2×C4—1041no—
1820C2×C4—1041no—
1821C2×C4—1041no—
1822C2×C4—1041no—
1823C2×C4—1041no—
1824C2×C4—1041no—
1825C2×C4C22×C22⋊D1311yescharacteristic
1826C2×C4C22×C22⋊D1311yescharacteristic
1827C2×C4C22×C22⋊D1311yescharacteristic
1828C2×C4C22×C22⋊D1311yescharacteristic
1829C2×C4C22×C22⋊D1311yescharacteristic
1830C2×C4C22×C22⋊D1311yescharacteristic
1831C2×C4C22×C22⋊D1311yescharacteristic
1832C2×C4C22×C22⋊D1311yescharacteristic
1833C2×C4C22×C22⋊D1311yescharacteristic
1834C2×C4C24×D1311yescharacteristic
1835C8—261no—
1836C8—261no—
1837C8—261no—
1838C8—261no—
1839C8—261no—
1840C8—261no—
1841C8—261no—
1842C8—261no—
1843C22—21no—
1844C22—22no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—162no—
1868C22—162no—
1869C22—162no—
1870C22—521no—
1871C22—521no—
1872C22—521no—
1873C22—521no—
1874C22—521no—
1875C22—521no—
1876C22—521no—
1877C22—521no—
1878C22—521no—
1879C22—2082no—
1880C22—2082no—
1881C22C23×C22⋊D1311yescharacteristic
1882C4—21no—
1883C4—22no—
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—521no—
1897C4—521no—
1898C4—521no—
1899C4—521no—
1900C4—521no—
1901C4C2×#8825111yescharacteristic
1902C4C2×#8825111yescharacteristic
1903C2—41no—
1904C2—41no—
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—42no—
1909C2—81no—
1910C2—81no—
1911C2—1041no—
1912C2—1041no—
1913C2—1041no—
1914C2#1312847111yescharacteristic
1915C2#1312960711yescharacteristic
1916C2#1312961511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3500C2
socleC22×C13C23×D4
hypercenter#3500D13
hypocenterC13#61690
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #532 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. #13129208C2semidirect
2. #13127089C2semidirect
3. #13127037C2semidirect
4. #13126902C2semidirect
5. #13126872C2semidirect
6. #13126827C2semidirect
7. #13126797C2semidirect
8. #13126738C2semidirect
9. #13126686C2semidirect
10. #13126544C2semidirect
11. #13126517C2semidirect
12. #13126468C2semidirect
13. #13126443C2semidirect
14. #13126422C2semidirect
15. #13126372C2semidirect
16. #13126332C2semidirect
17. #13126317C2semidirect
18. #13125823C2semidirect
19. #13125801C2semidirect
20. #13125718C2semidirect
21. #13125703C2semidirect
22. #13125697C2semidirect
23. #13125688C2semidirect
24. #13124945C2semidirect
25. #13124896C2semidirect
26. #13124151C2semidirect
27. #13124140C2semidirect
28. #13124122C2semidirect
29. #13124104C2semidirect
30. #13123912C2semidirect
31. C13×#3500C2semidirect
32. C2×C13×2−1+4C22semidirect
33. C2×C13×H(5,𝔽2)C22semidirect
35. C13×#548C22semidirect
36. C13×#548C22semidirect
37. C13×#548C22semidirect
43. C13×#546C22semidirect
44. C13×#546C22semidirect
45. C13×#546C22semidirect
47. C13×#536C22semidirect
49. C13×#535C22semidirect
53. C2×C13×#124C22semidirect
54. C4×C13×#41C22semidirect
56. #11719538C22semidirect
58. #11719535C22semidirect
59. C2×#88204C22semidirect
60. C2×#88204C22semidirect
62. C2×#88203C22semidirect
63. C2×#88196C22semidirect
64. C22×#6106C22semidirect
65. C2×#88186C22semidirect
75. #11719270C22semidirect
76. #11719270C22semidirect
77. #11719260C22semidirect
78. #11719258C22semidirect
79. #11719255C22semidirect
80. #11719255C22semidirect
81. D4×D52C22semidirect
82. #11719247C22semidirect
83. #11719184C22semidirect
84. #11719182C22semidirect
85. #11718900C22semidirect
86. #11718900C22semidirect
87. #11718900C22semidirect
91. #11718899C22semidirect
92. #11718899C22semidirect
93. #11718899C22semidirect
94. #11718899C22semidirect
95. #11718899C22semidirect
96. #11718899C22semidirect
97. #11718895C22semidirect
98. #11718895C22semidirect
99. #11718895C22semidirect
100. #11718895C22semidirect
101. #11718894C22semidirect
102. #11718894C22semidirect
103. #11718893C22semidirect
104. #11718893C22semidirect
105. #11718889C22semidirect
106. #11718889C22semidirect
107. #11718888C22semidirect
108. #11718888C22semidirect
109. #11718888C22semidirect
110. #11718888C22semidirect
111. #11718888C22semidirect
112. #11718888C22semidirect
113. #11718886C22semidirect
114. C2×#88075C22semidirect
115. #11718879C22semidirect
116. #11718879C22semidirect
120. #11718878C22semidirect
121. #11718878C22semidirect
122. #11718878C22semidirect
123. #11718876C22semidirect
124. C2×#88072C22semidirect
125. #11718720C22semidirect
126. #11718720C22semidirect
127. #11718719C22semidirect
128. #11718719C22semidirect
129. #11718718C22semidirect
130. #11718718C22semidirect
131. #11718718C22semidirect
132. #11718718C22semidirect
133. #11718718C22semidirect
134. #11718718C22semidirect
135. #11718717C22semidirect
136. #11718717C22semidirect
137. #11718716C22semidirect
138. #11718716C22semidirect
139. #11718715C22semidirect
140. #11718715C22semidirect
141. #11718713C22semidirect
142. #11718712C22semidirect
143. #11718710C22semidirect
144. #11718710C22semidirect
145. #11718710C22semidirect
146. #11718709C22semidirect
147. #11718709C22semidirect
148. #11718709C22semidirect
149. #11718708C22semidirect
150. #11718708C22semidirect
151. #11718707C22semidirect
152. #11718707C22semidirect
153. #11718706C22semidirect
154. #11718706C22semidirect
155. #11718705C22semidirect
156. #11718704C22semidirect
157. #11718703C22semidirect
158. #11718702C22semidirect
159. #11718700C22semidirect
160. #11718700C22semidirect
161. #11718700C22semidirect
162. #11718699C22semidirect
163. #11718699C22semidirect
164. #11718699C22semidirect
165. #11718698C22semidirect
166. #11718698C22semidirect
167. #11718697C22semidirect
168. #11718697C22semidirect
169. #11718696C22semidirect
170. #11718696C22semidirect
171. #11718695C22semidirect
172. #11718694C22semidirect
173. #11718691C22semidirect
174. #11718689C22semidirect
175. #11718688C22semidirect
176. #11718687C22semidirect
177. C4×#6106C22semidirect
178. C4×#6106C22semidirect
179. #11718683C22semidirect
180. #11718682C22semidirect
181. #11718679C22semidirect
182. #11718677C22semidirect
183. #11718676C22semidirect
184. #11718675C22semidirect
185. C4×#6104C22semidirect
186. C4×#6104C22semidirect
187. #11718673C22semidirect
188. #11718673C22semidirect
189. #11718672C22semidirect
190. #11718672C22semidirect
191. #11718672C22semidirect
192. #11718672C22semidirect
193. D4×#1055C22semidirect
194. D4×#1055C22semidirect
195. #11718670C22semidirect
196. #11718669C22semidirect
197. #11718664C22semidirect
198. #11718664C22semidirect
199. #11718664C22semidirect
200. #11718657C22semidirect
201. #11718587C22semidirect
202. #11718586C22semidirect
740. #3500D13semidirect
916. C2×2−1+4C2×D13semidirect
917. C2×H(5,𝔽2)C2×D13semidirect
934. #548C2×D13semidirect
935. #548C2×D13semidirect
936. #548C2×D13semidirect
946. #546C2×D13semidirect
947. #546C2×D13semidirect
948. #546C2×D13semidirect
956. #536C2×D13semidirect
961. #535C2×D13semidirect
967. C2×#124C2×D13semidirect
968. C4×#41C2×D13semidirect
1696. C13#61690semidirect

Maximal subgroups

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

subgroupindex
#131292082
#131270892
#131270372
#131269022
#131268722
#131268272
#131267972
#131267382
#131266862
#131265442
#131265172
#131264682
#131264432
#131264222
#131263722
#131263322
#131263172
#131258232
#131258012
#131257182
#131257032
#131256972
#131256882
#131249452
#131248962
#131241512
#131241402
#131241222
#131241042
#131239122
C13×#35002
#6169013