Finite Group Databasebeta

← #16750000

Subgroups — #16750000

Order 3328.

2036 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129263C211yesmaximal, characteristic, complemented
2#13127104C211yesmaximal, characteristic, complemented
3#13127089C211yesmaximal, characteristic, complemented
4#13127007C211yesmaximal, characteristic, complemented
5#13126962C211yesmaximal, characteristic, complemented
6#13126887C211yesmaximal, characteristic, complemented
7#13126842C211yesmaximal, characteristic, complemented
8#13126738C211yesmaximal, characteristic, complemented
9#13126723C211yesmaximal, characteristic, complemented
10#13126573C211yesmaximal, characteristic, complemented
11#13126544C211yesmaximal, characteristic, complemented
12#13126489C211yesmaximal, characteristic, complemented
13#13126468C211yesmaximal, characteristic, complemented
14#13126417C211yesmaximal, characteristic, complemented
15#13126407C211yesmaximal, characteristic, complemented
16#13126377C211yesmaximal, characteristic, complemented
17#13126347C211yesmaximal, characteristic, complemented
18#13125873C211yesmaximal, characteristic, complemented
19#13125812C211yesmaximal, characteristic, complemented
20#13125742C211yesmaximal, characteristic, complemented
21#13125733C211yesmaximal, characteristic, complemented
22#13125712C211yesmaximal, characteristic, complemented
23#13125682C211yesmaximal, characteristic, complemented
24#13125007C211yesmaximal, characteristic, complemented
25#13124916C211yesmaximal, characteristic, complemented
26#13124151C211yesmaximal, characteristic, complemented
27#13124151C211yesmaximal, characteristic, complemented
28#13124131C211yesmaximal, characteristic, complemented
29#13124122C211yesmaximal, characteristic, complemented
30#13123912C211yesmaximal, characteristic, complemented
31C13×#3497C211yesmaximal, characteristic, complemented
32C2×C13×2−1+4C2211yescharacteristic
33C2×C13×2−1+4C2211yescharacteristic, complemented
34C13×#550—21no—
35C13×#550C2211yescharacteristic
36C13×#550C2211yescharacteristic, complemented
37D4×Q8×C13—21no—
38D4×Q8×C13C2211yescharacteristic
39D4×Q8×C13C2211yescharacteristic, complemented
40C13×#548—21no—
41C13×#548—21no—
42C13×#548C2211yescharacteristic
43C13×#548C2211yescharacteristic
44C13×#548C2211yescharacteristic, complemented
45C13×#548C2211yescharacteristic, complemented
46C13×#537—21no—
47C13×#537—21no—
48C13×#537C2211yescharacteristic
49C13×#537C2211yescharacteristic, complemented
50C13×#532—21no—
51C13×#532—21no—
52C13×#532C2211yescharacteristic
53C13×#532C2211yescharacteristic, complemented
54C2×C4×Q8×C13C2211yescharacteristic, complemented
55#11719538C2211yescharacteristic
56#11719538C2211yescharacteristic
57#11719535C2211yescharacteristic
58#11719530C2211yescharacteristic
59C2×#88205C2211yescharacteristic, complemented
60C2×#88204C2211yescharacteristic
61C2×#88204C2211yescharacteristic
62C2×#88203C2211yescharacteristic
63C22×#6107C2211yescharacteristic, complemented
64C2×#88196C2211yescharacteristic
65C2×#88196C2211yescharacteristic
66C22×#6106C2211yescharacteristic
67#11719440—21no—
68#11719425—21no—
69#11719384—21no—
70#11719375—21no—
71#11719320—21no—
72#11719320—21no—
73#11719318—21no—
74#11719318—21no—
75#11719270C2211yescharacteristic
76#11719270C2211yescharacteristic
77#11719257C2211yescharacteristic
78#11719257C2211yescharacteristic
79#11719255C2211yescharacteristic
80#11719255C2211yescharacteristic
81#11719246C2211yescharacteristic
82#11719246C2211yescharacteristic
83#11719184C2211yescharacteristic
84#11719184C2211yescharacteristic
85#11718900C2211yescharacteristic
86#11718900C2211yescharacteristic
87#11718900C2211yescharacteristic, complemented
88#11718900C2211yescharacteristic, complemented
89#11718900C2211yescharacteristic, complemented
90#11718900C2211yescharacteristic, complemented
91#11718900C2211yescharacteristic, complemented
92#11718900C2211yescharacteristic, complemented
93#11718899C2211yescharacteristic
94#11718899C2211yescharacteristic
95#11718899C2211yescharacteristic
96#11718899C2211yescharacteristic
97#11718899C2211yescharacteristic
98#11718899C2211yescharacteristic
99#11718899C2211yescharacteristic
100#11718899C2211yescharacteristic
101#11718895C2211yescharacteristic
102#11718895C2211yescharacteristic
103#11718895C2211yescharacteristic, complemented
104#11718895C2211yescharacteristic, complemented
105#11718894C2211yescharacteristic
106#11718894C2211yescharacteristic, complemented
107#11718893C2211yescharacteristic, complemented
108#11718893C2211yescharacteristic, complemented
109#11718889C2211yescharacteristic
110#11718889C2211yescharacteristic
111#11718889C2211yescharacteristic, complemented
112#11718889C2211yescharacteristic, complemented
113#11718889C2211yescharacteristic, complemented
114#11718889C2211yescharacteristic, complemented
115#11718888C2211yescharacteristic
116#11718888C2211yescharacteristic
117#11718888C2211yescharacteristic
118#11718888C2211yescharacteristic
119#11718888C2211yescharacteristic
120#11718888C2211yescharacteristic
121#11718886C2211yescharacteristic
122#11718886C2211yescharacteristic, complemented
123C2×#88075C2211yescharacteristic, complemented
124C2×#88075C2211yescharacteristic, complemented
125#11718751C2211yescharacteristic, complemented
126#11718747C2211yescharacteristic
127#11718744C2211yescharacteristic
128#11718743C2211yescharacteristic, complemented
129#11718736C2211yescharacteristic, complemented
130#11718735C2211yescharacteristic
131#11718733C2211yescharacteristic
132#11718732C2211yescharacteristic, complemented
133#11718720C2211yescharacteristic
134#11718720C2211yescharacteristic
135#11718718C2211yescharacteristic
136#11718718C2211yescharacteristic
137#11718717C2211yescharacteristic, complemented
138#11718717C2211yescharacteristic, complemented
139#11718715C2211yescharacteristic, complemented
140#11718715C2211yescharacteristic, complemented
141#11718713C2211yescharacteristic
142#11718713C2211yescharacteristic, complemented
143#11718712C2211yescharacteristic
144#11718712C2211yescharacteristic, complemented
145#11718711C2211yescharacteristic, complemented
146#11718710C2211yescharacteristic
147#11718710C2211yescharacteristic
148#11718709C2211yescharacteristic
149#11718709C2211yescharacteristic
150#11718708C2211yescharacteristic
151#11718708C2211yescharacteristic
152#11718707C2211yescharacteristic
153#11718706C2211yescharacteristic
154#11718706C2211yescharacteristic, complemented
155#11718705C2211yescharacteristic, complemented
156#11718704C2211yescharacteristic, complemented
157#11718703C2211yescharacteristic
158#11718703C2211yescharacteristic, complemented
159#11718702C2211yescharacteristic
160#11718702C2211yescharacteristic, complemented
161#11718701C2211yescharacteristic, complemented
162#11718700C2211yescharacteristic
163#11718700C2211yescharacteristic
164#11718699C2211yescharacteristic
165#11718699C2211yescharacteristic
166#11718698C2211yescharacteristic
167#11718698C2211yescharacteristic
168#11718697C2211yescharacteristic
169#11718696C2211yescharacteristic
170#11718696C2211yescharacteristic, complemented
171#11718695C2211yescharacteristic, complemented
172#11718694C2211yescharacteristic, complemented
173#11718691C2211yescharacteristic, complemented
174#11718691C2211yescharacteristic, complemented
175C4×#6107C2211yescharacteristic, complemented
176C4×#6107C2211yescharacteristic, complemented
177#11718689C2211yescharacteristic
178#11718689C2211yescharacteristic
179#11718689C2211yescharacteristic
180#11718689C2211yescharacteristic
181#11718687C2211yescharacteristic
182#11718687C2211yescharacteristic
183C4×#6106C2211yescharacteristic
184C4×#6106C2211yescharacteristic
185#11718683C2211yescharacteristic, complemented
186#11718683C2211yescharacteristic, complemented
187#11718683C2211yescharacteristic, complemented
188#11718683C2211yescharacteristic, complemented
189#11718673C2211yescharacteristic
190#11718673C2211yescharacteristic, complemented
191#11718672C2211yescharacteristic
192#11718672C2211yescharacteristic
193#11718672C2211yescharacteristic, complemented
194#11718672C2211yescharacteristic, complemented
195D4×#1055C2211yescharacteristic
196D4×#1055C2211yescharacteristic, complemented
197#11718632C2211yescharacteristic, complemented
198#11718631C2211yescharacteristic, complemented
199#11718629C2211yescharacteristic
200#11718628C2211yescharacteristic
201#11718587C2211yescharacteristic, complemented
202#11718586C2211yescharacteristic, complemented
203C13×2−1+4—42no—
204C13×2−1+4—42no—
205C13×2−1+4—42no—
206C13×2−1+4—42no—
207C2×C13×#41—21no—
208C2×C13×#41—21no—
209C2×C13×#41—21no—
210C2×C13×#41—21no—
211C2×C13×#41—21no—
212C2×C13×#41—21no—
213C2×C13×#41C2311yescharacteristic
214C2×C13×#41C2311yescharacteristic
215C2×C13×#41C2311yescharacteristic
216C2×C13×#41C2311yescharacteristic
217C2×C13×#41C2311yescharacteristic
218C2×C13×#41C2311yescharacteristic
219C2×C13×#41C2311yescharacteristic
220C2×C13×#41C2311yescharacteristic
221C22×Q8×C13—21no—
222C22×Q8×C13—21no—
223C22×Q8×C13C2311yescharacteristic
224C22×Q8×C13C2311yescharacteristic
225C22×Q8×C13C2311yescharacteristic
226C22×Q8×C13C2311yescharacteristic
227C22×Q8×C13C2311yescharacteristic
228C2×#6127C2311yescharacteristic
229C2×#6127C2311yescharacteristic
230C22×D52C2311yescharacteristic
231C22×Dic26C2311yescharacteristic
232C13×C4⋊Q8—21no—
233C13×C4⋊Q8—21no—
234C13×C4⋊Q8D411yescharacteristic
235C13×C4⋊Q8C2311yescharacteristic
236C13×#127—21no—
237C13×#127—21no—
238C13×#127D411yescharacteristic
239C13×#127C2311yescharacteristic
240C13×#124—21no—
241C13×#124—21no—
242C13×#124—21no—
243C13×#124—21no—
244C13×#124D411yescharacteristic
245C13×#124D411yescharacteristic
246C13×#124C2311yescharacteristic
247C13×#124C2311yescharacteristic
248C13×C22⋊Q8—21no—
249C13×C22⋊Q8—21no—
250C13×C22⋊Q8—21no—
251C13×C22⋊Q8—21no—
252C13×C22⋊Q8—21no—
253C13×C22⋊Q8—21no—
254C13×C22⋊Q8—21no—
255C13×C22⋊Q8—21no—
256C13×C22⋊Q8—21no—
257C13×C22⋊Q8—21no—
258C13×C22⋊Q8C2311yescharacteristic
259C13×C22⋊Q8C2311yescharacteristic
260C13×C22⋊Q8C2311yescharacteristic
261C13×C22⋊Q8C2311yescharacteristic
262C13×#121—21no—
263C13×#121—21no—
264C13×#121—21no—
265C13×#121—21no—
266C13×#121—21no—
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×#121—21no—
276C13×#121—21no—
277C13×#121—21no—
278C13×#121D411yescharacteristic
279C13×#121D411yescharacteristic
280C13×#121D411yescharacteristic
281C13×#121D411yescharacteristic
282C13×#121C2311yescharacteristic
283C13×#121C2311yescharacteristic
284C13×#121C2311yescharacteristic
285C13×#121C2311yescharacteristic
286C4×Q8×C13—21no—
287C4×Q8×C13—21no—
288C4×Q8×C13C2311yescharacteristic
289C4×Q8×C13C2311yescharacteristic
290C4×Q8×C13C2311yescharacteristic
291C4×Q8×C13C2311yescharacteristic
292C4×D4×C13—21no—
293C4×D4×C13—21no—
294C4×D4×C13—21no—
295C4×D4×C13—21no—
296C4×D4×C13—21no—
297C4×D4×C13—21no—
298C4×D4×C13—21no—
299C4×D4×C13—21no—
300C4×D4×C13—21no—
301C4×D4×C13—21no—
302C4×D4×C13C2311yescharacteristic
303C4×D4×C13C2311yescharacteristic
304C4×D4×C13C2311yescharacteristic
305C4×D4×C13C2311yescharacteristic
306C2×C13×C4⋊C4—21no—
307C2×C13×C4⋊C4C2311yescharacteristic
308C2×C42×C13—21no—
309C2×C42×C13C2311yescharacteristic
310#88205—42no—
311#88204—42no—
312#88204—42no—
313#88203—42no—
314#88201—21no—
315#88200—21no—
316#88200—21no—
317#88198—21no—
318C2×#6107—42no—
319C2×#6107C2311yescharacteristic
320C2×#6107C2311yescharacteristic
321C2×#6107C2311yescharacteristic
322C2×#6107C2311yescharacteristic
323C2×#6107C2311yescharacteristic
324C2×#6107C2311yescharacteristic
325C2×#6107C2311yescharacteristic
326C2×#6107C2311yescharacteristic
327#88196—42no—
328#88196—42no—
329C2×#6106—42no—
330C2×#6106C2311yescharacteristic
331C2×#6106C2311yescharacteristic
332C2×#6106C2311yescharacteristic
333C2×#6106C2311yescharacteristic
334C2×#6106C2311yescharacteristic
335C2×#6106C2311yescharacteristic
336C2×#6106C2311yescharacteristic
337C2×#6106C2311yescharacteristic
338#88194—21no—
339#88193—21no—
340#88193—21no—
341#88193—21no—
342#88193—21no—
343#88193—21no—
344#88193—21no—
345#88193—21no—
346#88193—21no—
347#88192—21no—
348#88192—21no—
349#88191—21no—
350#88191—21no—
351#88191—21no—
352#88191—21no—
353#88190—21no—
354#88189—21no—
355#88189—21no—
356#88189—21no—
357#88189—21no—
358C2×#6105C2311yescharacteristic
359C2×#6105C2311yescharacteristic
360C2×#6105C2311yescharacteristic
361C2×#6105C2311yescharacteristic
362C2×#6104C2311yescharacteristic
363C2×#6104C2311yescharacteristic
364C2×#6104C2311yescharacteristic
365C2×#6104C2311yescharacteristic
366#88184C2311yescharacteristic
367#88184C2311yescharacteristic
368#88184C2311yescharacteristic
369#88184C2311yescharacteristic
370#88184C2311yescharacteristic
371#88184C2311yescharacteristic
372#88183—21no—
373#88183—21no—
374C4×C22⋊D13—21no—
375C4×C22⋊D13—21no—
376#88180C2311yescharacteristic
377#88180C2311yescharacteristic
378C2×C4⋊Dic13C2311yescharacteristic
379C2×C4⋊Dic13C2311yescharacteristic
380#88178C2311yescharacteristic
381#88178C2311yescharacteristic
382#88178C2311yescharacteristic
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#88150—21no—
397#88150—21no—
398#88148—21no—
399#88148—21no—
400#88143—21no—
401#88143—21no—
402#88139—21no—
403#88139—21no—
404#88138—21no—
405#88138—21no—
406#88137—21no—
407#88137—21no—
408#88135—21no—
409#88135—21no—
410#88135—21no—
411#88135—21no—
412C22⋊C4×D13—21no—
413C22⋊C4×D13—21no—
414#88133—21no—
415#88133—21no—
416#88131—21no—
417#88131—21no—
418#88130—21no—
419#88130—21no—
420#88129C2311yescharacteristic
421#88129C2311yescharacteristic
422C4×D52C2311yescharacteristic
423C4×D52C2311yescharacteristic
424#88126—21no—
425#88126—21no—
426#88124C2311yescharacteristic
427#88124C2311yescharacteristic
428C4×Dic26C2311yescharacteristic
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#88075C2311yescharacteristic
443#88075C2311yescharacteristic
444#88075C2311yescharacteristic
445#88075C2311yescharacteristic
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#88050C2311yescharacteristic
469#88050C2311yescharacteristic
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#61681—131nomaximal, Sylow
491C23×D13—21no—
492C13×#41—22no—
493C13×#41—22no—
494C13×#41—22no—
495C13×#41—22no—
496C13×#41—41no—
497C13×#41—41no—
498C13×#41—41no—
499C13×#41—41no—
500C13×#41—41no—
501C13×#41—41no—
502C13×#41—41no—
503C13×#41—41no—
504C13×#41—41no—
505C13×#41—41no—
506C13×#41—41no—
507C13×#41—41no—
508C13×#41—44no—
509C13×#41—44no—
510C13×#41—44no—
511C13×#41—44no—
512C13×#41—44no—
513C13×#41—44no—
514C2×Q8×C13—22no—
515C2×Q8×C13—22no—
516C2×Q8×C13—21no—
517C2×Q8×C13—21no—
518C2×Q8×C13—21no—
519C2×Q8×C13—21no—
520C2×Q8×C13—21no—
521C2×Q8×C13—22no—
522C2×Q8×C13—22no—
523C2×Q8×C13—22no—
524C2×Q8×C13—22no—
525C2×Q8×C13—41no—
526C2×Q8×C13—41no—
527C2×Q8×C13—41no—
528C2×Q8×C13—41no—
529C2×Q8×C13—44no—
530C2×Q8×C13—44no—
531C2×Q8×C13C2×D411yescharacteristic
532C2×Q8×C13C2×D411yescharacteristic
533C2×Q8×C13C2411yescharacteristic
534C2×Q8×C13C2411yescharacteristic
535C2×Q8×C13C2411yescharacteristic
536C2×Q8×C13C2411yescharacteristic
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—21no—
544C2×D4×C13—21no—
545C2×D4×C13—21no—
546C2×D4×C13—21no—
547C2×D4×C13—21no—
548C2×D4×C13—21no—
549C2×D4×C13C2×D411yescharacteristic
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×C13C2411yescharacteristic
560C2×D4×C13C2411yescharacteristic
561C22×C4×C13—21no—
562C22×C4×C13—21no—
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—
588C22×Dic13—21no—
589C22×Dic13—21no—
590C22×Dic13—21no—
591#6127—41no—
592#6127—41no—
593#6127—41no—
594#6127—41no—
595C2×D52—21no—
596C2×D52—41no—
597C2×D52—41no—
598C2×D52C2411yescharacteristic
599C2×D52C2411yescharacteristic
600C2×C4×D13—21no—
601C2×C4×D13—21no—
602C2×C4×D13—21no—
603C2×C4×D13—21no—
604C2×Dic26—21no—
605C2×Dic26—41no—
606C2×Dic26—41no—
607C2×Dic26C2411yescharacteristic
608C2×Dic26C2411yescharacteristic
609C13×C4⋊C4—21no—
610C13×C4⋊C4—21no—
611C13×C4⋊C4—21no—
612C13×C4⋊C4—21no—
613C13×C4⋊C4—21no—
614C13×C4⋊C4—21no—
615C13×C4⋊C4—21no—
616C13×C4⋊C4—21no—
617C13×C4⋊C4—21no—
618C13×C4⋊C4—21no—
619C13×C4⋊C4—21no—
620C13×C4⋊C4C2×D411yescharacteristic
621C13×C4⋊C4C2×D411yescharacteristic
622C13×C4⋊C4C2×D411yescharacteristic
623C13×C4⋊C4C2×D411yescharacteristic
624C13×C4⋊C4C2411yescharacteristic
625C13×C4⋊C4C2411yescharacteristic
626C13×C22⋊C4—21no—
627C13×C22⋊C4—21no—
628C13×C22⋊C4—21no—
629C13×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
639C13×C22⋊C4C2×D411yescharacteristic
640C13×C22⋊C4C2×D411yescharacteristic
641C13×C22⋊C4C2×D411yescharacteristic
642C13×C22⋊C4C2×D411yescharacteristic
643C13×C22⋊C4C2×D411yescharacteristic
644C13×C22⋊C4C2×D411yescharacteristic
645C13×C22⋊C4C2×D411yescharacteristic
646C42×C13—21no—
647C42×C13—21no—
648C42×C13—21no—
649C42×C13—21no—
650C42×C13C2×D411yescharacteristic
651C42×C13C2×D411yescharacteristic
652C42×C13C2411yescharacteristic
653C42×C13C2411yescharacteristic
654C22⋊Dic13—21no—
655C22⋊Dic13—21no—
656C22⋊Dic13—21no—
657C22⋊Dic13—21no—
658C22⋊Dic13—21no—
659C22⋊Dic13—21no—
660C22⋊Dic13—21no—
661C22⋊Dic13—21no—
662#6107—22no—
663#6107—22no—
664#6107—22no—
665#6107—22no—
666#6107—41no—
667#6107—41no—
668#6107—41no—
669#6107—41no—
670#6106—22no—
671#6106—22no—
672#6106—22no—
673#6106—22no—
674#6106—41no—
675#6106—41no—
676#6106—41no—
677#6106—41no—
678#6105—41no—
679#6105—41no—
680#6105—41no—
681#6105—41no—
682#6104—41no—
683#6104—41no—
684#6104—41no—
685#6104—41no—
686#6103—21no—
687#6103—21no—
688#6103—21no—
689#6103—21no—
690#6103—21no—
691#6103—21no—
692#6103—21no—
693#6103—21no—
694#6103—21no—
695#6103—21no—
696#6103—21no—
697#6103—21no—
698C4⋊Dic13—21no—
699C4⋊Dic13—21no—
700C4⋊Dic13C2411yescharacteristic
701C4⋊Dic13C2411yescharacteristic
702C4⋊Dic13C2411yescharacteristic
703C4⋊Dic13C2411yescharacteristic
704#6101—21no—
705#6101—21no—
706#6101—21no—
707#6101—21no—
708#6101—21no—
709#6101—21no—
710#6101—21no—
711#6101—21no—
712#6101—21no—
713#6101—21no—
714#6101—21no—
715#6101—21no—
716C4×Dic13—21no—
717C4×Dic13—21no—
718C4×Dic13—21no—
719C4×Dic13—21no—
720#6099—41no—
721#6099—41no—
722#6099—41no—
723#6099—41no—
724C2×#1055—41no—
725C2×#1055—41no—
726C2×#1055—41no—
727C2×#1055—41no—
728C2×#1055C2411yescharacteristic
729C2×#1055C2411yescharacteristic
730C2×#1055C2411yescharacteristic
731C2×#1055C2411yescharacteristic
732C2×#1055C2411yescharacteristic
733C2×#1055C2411yescharacteristic
734C2×#1055C2411yescharacteristic
735C2×#1055C2411yescharacteristic
736#3551—131no—
737#3497D1311yescharacteristic, complemented
738#3327—131no—
739#3326—131no—
740#3320—131no—
741#3317—131no—
742#3312—131no—
743#3309—131no—
744#3301—131no—
745#3300—131no—
746#3285—131no—
747#3282—131no—
748#3277—131no—
749#3275—131no—
750#3271—131no—
751#3270—131no—
752#3268—131no—
753#3266—131no—
754#3219—131no—
755#3212—131no—
756#3204—131no—
757#3203—131no—
758#3201—131no—
759#3198—131no—
760#3117—131no—
761#3108—131no—
762#3013—131no—
763#3013—131no—
764#3011—131no—
765#3010—131no—
766#2981—131no—
767C23×C13—21no—
768C23×C13—21no—
769C23×C13C22×D411yescharacteristic
770C23×C13C22×D411yescharacteristic
771C23×C13C22×D411yescharacteristic
772C23×C13C22×D411yescharacteristic
773C23×C13C22×D411yescharacteristic
774C22×D13—21no—
775C22×D13—21no—
776C22×D13—81no—
777C22×D13—81no—
778C22×D13—81no—
779Q8×C13—24no—
780Q8×C13—21no—
781Q8×C13—21no—
782Q8×C13—21no—
783Q8×C13—21no—
784Q8×C13—21no—
785Q8×C13—21no—
786Q8×C13—41no—
787Q8×C13—41no—
788Q8×C13—42no—
789Q8×C13—42no—
790Q8×C13—42no—
791Q8×C13—42no—
792Q8×C13H(5,𝔽2)12yes—
793Q8×C13H(5,𝔽2)12yes—
794D4×C13—21no—
795D4×C13—21no—
796D4×C13—21no—
797D4×C13—21no—
798D4×C13—41no—
799D4×C13—41no—
800D4×C13—41no—
801D4×C13—41no—
802D4×C13—41no—
803D4×C13—41no—
804D4×C13—41no—
805D4×C13—41no—
806D4×C13—41no—
807D4×C13—41no—
808D4×C13—42no—
809D4×C13—42no—
810D4×C13—42no—
811D4×C13—42no—
812D4×C13—42no—
813D4×C13—42no—
814D4×C13—42no—
815D4×C13—81no—
816D4×C13—81no—
817D4×C13—81no—
818D4×C13—81no—
819D4×C13—81no—
820C2×C4×C13—24no—
821C2×C4×C13—21no—
822C2×C4×C13—21no—
823C2×C4×C13—21no—
824C2×C4×C13—21no—
825C2×C4×C13—21no—
826C2×C4×C13—21no—
827C2×C4×C13—21no—
828C2×C4×C13—21no—
829C2×C4×C13—21no—
830C2×C4×C13—21no—
831C2×C4×C13—21no—
832C2×C4×C13—21no—
833C2×C4×C13—21no—
834C2×C4×C13—21no—
835C2×C4×C13—21no—
836C2×C4×C13—21no—
837C2×C4×C13—41no—
838C2×C4×C13—41no—
839C2×C4×C13—42no—
840C2×C4×C13—42no—
841C2×C4×C13—42no—
842C2×C4×C13—42no—
843C2×C4×C13—42no—
844C2×C4×C13—42no—
845C2×C4×C13—42no—
846C2×C4×C13—42no—
847C2×C4×C13—42no—
848C2×C4×C13—42no—
849C2×C4×C13—81no—
850C2×C4×C13C22×D411yescharacteristic
851C2×C4×C13C22×D411yescharacteristic
852C2×C4×C13C22×D411yescharacteristic
853C2×C4×C13C22×D411yescharacteristic
854C2×C4×C13C22×D411yescharacteristic
855C2×C4×C13C22×D411yescharacteristic
856C2×C4×C13C22×D411yescharacteristic
857C2×C4×C13C22×D411yescharacteristic
858C2×C4×C13C22×D411yescharacteristic
859C2×C4×C13C2511yescharacteristic
860C22⋊D13—81no—
861C22⋊D13—81no—
862C22⋊D13—81no—
863C22⋊D13—81no—
864C22⋊D13—81no—
865C22⋊D13—81no—
866C22⋊D13—81no—
867C22⋊D13—81no—
868C2×Dic13—21no—
869C2×Dic13—21no—
870C2×Dic13—21no—
871C2×Dic13—21no—
872C2×Dic13—21no—
873C2×Dic13—21no—
874C2×Dic13—81no—
875C2×Dic13—81no—
876C2×Dic13—81no—
877D52—21no—
878D52—21no—
879D52—21no—
880D52—21no—
881D52—81no—
882C4×D13—81no—
883C4×D13—81no—
884C4×D13—81no—
885C4×D13—81no—
886Dic26—21no—
887Dic26—21no—
888Dic26—21no—
889Dic26—21no—
890Dic26—81no—
891#1055—21no—
892#1055—21no—
893#1055—21no—
894#1055—21no—
895#1055—21no—
896#1055—21no—
897#1055—21no—
898#1055—21no—
899C2×2−1+4C2×D1311yescharacteristic
900C2×2−1+4C2×D1311yescharacteristic, complemented
901C2×#137—131no—
902C2×#137—131no—
903C2×#137—131no—
904C2×AGL(1,ℤ/8)—131no—
905C2×#135—131no—
906C2×#135—131no—
907C22×Q16—131no—
908C22×SD16—131no—
909#563—261no—
910#560—261no—
911#555—261no—
912#553—131no—
913#553—131no—
914#552—131no—
915#552—131no—
916#551—261no—
917#550—21no—
918#550C2×D1311yescharacteristic
919#550C2×D1311yescharacteristic, complemented
920D4×Q8—21no—
921D4×Q8C2×D1311yescharacteristic
922D4×Q8C2×D1311yescharacteristic, complemented
923#548—21no—
924#548—21no—
925#548—131no—
926#548—131no—
927#548C2×D1311yescharacteristic
928#548C2×D1311yescharacteristic
929#548C2×D1311yescharacteristic, complemented
930#548C2×D1311yescharacteristic, complemented
931#546—131no—
932#546—131no—
933#540—261no—
934#540—261no—
935#538—261no—
936#538—261no—
937#537—21no—
938#537—21no—
939#537—131no—
940#537—131no—
941#537C2×D1311yescharacteristic
942#537C2×D1311yescharacteristic, complemented
943#536—131no—
944#535—131no—
945#532—21no—
946#532—21no—
947#532C2×D1311yescharacteristic
948#532C2×D1311yescharacteristic, complemented
949#529—131no—
950#529—131no—
951C2×C4×Q8C2×D1311yescharacteristic, complemented
952#497—131no—
953#496—131no—
954#495—131no—
955#495—131no—
956#491—131no—
957#490—131no—
958#488—131no—
959#488—131no—
960#485—131no—
961#485—131no—
962#484—131no—
963#484—131no—
964#483—131no—
965#483—131no—
966#482—131no—
967#482—131no—
968#481—131no—
969#481—131no—
970#480—131no—
971#480—131no—
972#479—131no—
973#479—131no—
974#479—131no—
975#479—131no—
976#470—131no—
977#470—131no—
978#469—131no—
979#469—131no—
980#468—131no—
981#468—131no—
982#468—131no—
983#468—131no—
984#467—131no—
985#467—131no—
986#466—131no—
987#466—131no—
988#465—131no—
989#465—131no—
990#465—131no—
991#465—131no—
992#464—131no—
993#464—131no—
994#464—131no—
995#464—131no—
996#464—131no—
997#464—131no—
998#463—131no—
999#463—131no—
1000#462—131no—
1001#461—131no—
1002#460—131no—
1003#459—131no—
1004#452—131no—
1005#452—131no—
1006#452—131no—
1007#452—131no—
1008#452—131no—
1009#452—131no—
1010#452—131no—
1011#452—131no—
1012#452—131no—
1013#452—131no—
1014#451—131no—
1015#451—131no—
1016#451—131no—
1017#451—131no—
1018#451—131no—
1019#451—131no—
1020#451—131no—
1021#450—131no—
1022#449—131no—
1023#449—131no—
1024#449—131no—
1025#449—131no—
1026#449—131no—
1027#449—131no—
1028#449—131no—
1029#449—131no—
1030#449—131no—
1031#449—131no—
1032#448—131no—
1033#448—131no—
1034#448—131no—
1035#448—131no—
1036#448—131no—
1037#448—131no—
1038#448—131no—
1039#447—131no—
1040#441—131no—
1041#441—131no—
1042#440—131no—
1043#440—131no—
1044C4×Q16—131no—
1045C4×Q16—131no—
1046C4×SD16—131no—
1047C4×SD16—131no—
1048#436—131no—
1049#436—131no—
1050#435—131no—
1051#435—131no—
1052#435—131no—
1053#435—131no—
1054C8×D4—131no—
1055C8×D4—131no—
1056#432—131no—
1057#431—131no—
1058#419—131no—
1059#419—131no—
1060#417—131no—
1061#417—131no—
1062#416—131no—
1063#416—131no—
1064C2×#103—131no—
1065C2×#103—131no—
1066#408—131no—
1067#408—131no—
1068#408—131no—
1069#408—131no—
1070C22×C13—21no—
1071C22×C13—21no—
1072C22×C13—21no—
1073C22×C13—21no—
1074C22×C13—21no—
1075C22×C13—21no—
1076C22×C13—21no—
1077C22×C13—21no—
1078C22×C13—21no—
1079C22×C13—21no—
1080C22×C13—21no—
1081C22×C13—21no—
1082C22×C13—21no—
1083C22×C13—21no—
1084C22×C13—21no—
1085C22×C13—41no—
1086C22×C13—41no—
1087C22×C13—41no—
1088C22×C13—41no—
1089C22×C13—41no—
1090C22×C13—41no—
1091C22×C13C23×D411yescharacteristic
1092C2×D13—41no—
1093C2×D13—41no—
1094C2×D13—41no—
1095C2×D13—41no—
1096C2×D13—41no—
1097C2×D13—41no—
1098C2×D13—162no—
1099C4×C13—21no—
1100C4×C13—21no—
1101C4×C13—21no—
1102C4×C13—21no—
1103C4×C13—21no—
1104C4×C13—21no—
1105C4×C13—21no—
1106C4×C13—21no—
1107C4×C13—22no—
1108C4×C13—22no—
1109C4×C13—21no—
1110C4×C13—41no—
1111C4×C13—41no—
1112C4×C13—41no—
1113C4×C13—41no—
1114C4×C13C2×H(5,𝔽2)11yescharacteristic
1115C4×C13C2×H(5,𝔽2)11yescharacteristic
1116Dic13—41no—
1117Dic13—41no—
1118Dic13—41no—
1119Dic13—41no—
1120Dic13—41no—
1121Dic13—41no—
11222−1+4—42no—
11232−1+4—42no—
11242−1+4—42no—
11252−1+4—42no—
1126C2×#41—21no—
1127C2×#41—21no—
1128C2×#41—21no—
1129C2×#41—21no—
1130C2×#41—21no—
1131C2×#41—21no—
1132C2×#41—131no—
1133C2×#41—131no—
1134C2×#41C22×D1311yescharacteristic
1135C2×#41C22×D1311yescharacteristic
1136C2×#41C22×D1311yescharacteristic
1137C2×#41C22×D1311yescharacteristic
1138C2×#41C22×D1311yescharacteristic
1139C2×#41C22×D1311yescharacteristic
1140C2×#41C22×D1311yescharacteristic
1141C2×#41C22×D1311yescharacteristic
1142C22×Q8—21no—
1143C22×Q8—21no—
1144C22×Q8—131no—
1145C22×Q8C22×D1311yescharacteristic
1146C22×Q8C22×D1311yescharacteristic
1147C22×Q8C22×D1311yescharacteristic
1148C22×Q8C22×D1311yescharacteristic
1149C22×Q8C22×D1311yescharacteristic
1150C22×D4—131no—
1151#137—522no—
1152#137—522no—
1153#137—522no—
1154AGL(1,ℤ/8)—522no—
1155#135—522no—
1156#135—522no—
1157C2×Q16—131no—
1158C2×Q16—131no—
1159C2×Q16—131no—
1160C2×Q16—131no—
1161C2×Q16—131no—
1162C2×Q16—131no—
1163C2×Q16—131no—
1164C2×Q16—131no—
1165C2×Q16—522no—
1166C2×SD16—131no—
1167C2×SD16—131no—
1168C2×SD16—131no—
1169C2×SD16—131no—
1170C2×SD16—131no—
1171C2×SD16—131no—
1172C2×SD16—131no—
1173C2×SD16—131no—
1174C2×SD16—131no—
1175C2×SD16—131no—
1176C2×SD16—131no—
1177C2×SD16—131no—
1178C2×SD16—522no—
1179C2×D8—131no—
1180C2×D8—131no—
1181C2×D8—131no—
1182C2×D8—131no—
1183C2×M16—131no—
1184C2×M16—131no—
1185C2×M16—131no—
1186C2×M16—131no—
1187C22×C8—131no—
1188C22×C8—131no—
1189C22×C8—131no—
1190C22×C8—131no—
1191C4⋊Q8—21no—
1192C4⋊Q8—21no—
1193C4⋊Q8—261no—
1194C4⋊Q8C22⋊D1311yescharacteristic
1195C4⋊Q8C22×D1311yescharacteristic
1196#127—21no—
1197#127—21no—
1198#127—261no—
1199#127C22⋊D1311yescharacteristic
1200#127C22×D1311yescharacteristic
1201#126—261no—
1202#126—261no—
1203#126—261no—
1204#126—261no—
1205#126—261no—
1206#126—261no—
1207#125—131no—
1208#125—131no—
1209#125—261no—
1210#125—261no—
1211#124—21no—
1212#124—21no—
1213#124—21no—
1214#124—21no—
1215#124—131no—
1216#124—131no—
1217#124—261no—
1218#124—261no—
1219#124—261no—
1220#124—261no—
1221#124C22⋊D1311yescharacteristic
1222#124C22⋊D1311yescharacteristic
1223#124C22×D1311yescharacteristic
1224#124C22×D1311yescharacteristic
1225#123—261no—
1226#123—261no—
1227#123—261no—
1228#123—261no—
1229#123—261no—
1230#123—261no—
1231#123—261no—
1232#123—261no—
1233#123—261no—
1234#123—261no—
1235C22⋊Q8—21no—
1236C22⋊Q8—21no—
1237C22⋊Q8—21no—
1238C22⋊Q8—21no—
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—21no—
1243C22⋊Q8—21no—
1244C22⋊Q8—21no—
1245C22⋊Q8—131no—
1246C22⋊Q8—131no—
1247C22⋊Q8—131no—
1248C22⋊Q8—131no—
1249C22⋊Q8—131no—
1250C22⋊Q8—131no—
1251C22⋊Q8—261no—
1252C22⋊Q8—261no—
1253C22⋊Q8—261no—
1254C22⋊Q8—261no—
1255C22⋊Q8C22×D1311yescharacteristic
1256C22⋊Q8C22×D1311yescharacteristic
1257C22⋊Q8C22×D1311yescharacteristic
1258C22⋊Q8C22×D1311yescharacteristic
1259#121—21no—
1260#121—21no—
1261#121—21no—
1262#121—21no—
1263#121—21no—
1264#121—21no—
1265#121—21no—
1266#121—21no—
1267#121—21no—
1268#121—21no—
1269#121—21no—
1270#121—21no—
1271#121—21no—
1272#121—21no—
1273#121—21no—
1274#121—21no—
1275#121—131no—
1276#121—131no—
1277#121—131no—
1278#121—131no—
1279#121—131no—
1280#121—131no—
1281#121—261no—
1282#121—261no—
1283#121—261no—
1284#121—261no—
1285#121—261no—
1286#121—261no—
1287#121—261no—
1288#121—261no—
1289#121—261no—
1290#121—261no—
1291#121—261no—
1292#121—261no—
1293#121C22⋊D1311yescharacteristic
1294#121C22⋊D1311yescharacteristic
1295#121C22⋊D1311yescharacteristic
1296#121C22⋊D1311yescharacteristic
1297#121C22×D1311yescharacteristic
1298#121C22×D1311yescharacteristic
1299#121C22×D1311yescharacteristic
1300#121C22×D1311yescharacteristic
1301#120—261no—
1302#120—261no—
1303#120—261no—
1304#120—261no—
1305C4×Q8—21no—
1306C4×Q8—21no—
1307C4×Q8—131no—
1308C4×Q8—131no—
1309C4×Q8C22×D1311yescharacteristic
1310C4×Q8C22×D1311yescharacteristic
1311C4×Q8C22×D1311yescharacteristic
1312C4×Q8C22×D1311yescharacteristic
1313C4×D4—21no—
1314C4×D4—21no—
1315C4×D4—21no—
1316C4×D4—21no—
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—21no—
1323C4×D4—131no—
1324C4×D4—131no—
1325C4×D4—261no—
1326C4×D4—261no—
1327C4×D4—261no—
1328C4×D4—261no—
1329C4×D4—261no—
1330C4×D4—261no—
1331C4×D4C22×D1311yescharacteristic
1332C4×D4C22×D1311yescharacteristic
1333C4×D4C22×D1311yescharacteristic
1334C4×D4C22×D1311yescharacteristic
1335#117—131no—
1336#117—131no—
1337#117—261no—
1338#117—261no—
1339#117—261no—
1340#117—261no—
1341C2×C4⋊C4—21no—
1342C2×C4⋊C4—131no—
1343C2×C4⋊C4—131no—
1344C2×C4⋊C4C22×D1311yescharacteristic
1345C2×C22⋊C4—261no—
1346C2×C22⋊C4—261no—
1347C2×C42—21no—
1348C2×C42C22×D1311yescharacteristic
1349#107—131no—
1350#107—131no—
1351#107—131no—
1352#107—131no—
1353#106—131no—
1354#106—131no—
1355#106—131no—
1356#106—131no—
1357C4⋊C8—131no—
1358C4⋊C8—131no—
1359C4⋊C8—131no—
1360C4⋊C8—131no—
1361#103—131no—
1362#103—131no—
1363#103—131no—
1364#103—131no—
1365#103—131no—
1366#103—131no—
1367#103—131no—
1368#103—131no—
1369#103—131no—
1370#103—131no—
1371#103—131no—
1372#103—131no—
1373#103—131no—
1374#103—131no—
1375#103—131no—
1376#103—131no—
1377#103—131no—
1378#103—131no—
1379#103—131no—
1380#103—131no—
1381#102—131no—
1382#102—131no—
1383#102—131no—
1384#102—131no—
1385#102—131no—
1386#102—131no—
1387#102—131no—
1388#102—131no—
1389#102—131no—
1390#102—131no—
1391#102—131no—
1392#102—131no—
1393C22⋊C8—131no—
1394C22⋊C8—131no—
1395C22⋊C8—131no—
1396C22⋊C8—131no—
1397C22⋊C8—131no—
1398C22⋊C8—131no—
1399C22⋊C8—131no—
1400C22⋊C8—131no—
1401C22⋊C8—131no—
1402C22⋊C8—131no—
1403C22⋊C8—131no—
1404C22⋊C8—131no—
1405#97—131no—
1406#97—131no—
1407C4×C8—131no—
1408C4×C8—131no—
1409C2×C13—41no—
1410C2×C13—41no—
1411C2×C13—41no—
1412C2×C13—41no—
1413C2×C13—41no—
1414C2×C13—81no—
1415C2×C13—81no—
1416C2×C13#348411yescharacteristic
1417C2×C13#358411yescharacteristic
1418C2×C13#358611yescharacteristic
1419D13—81no—
1420D13—81no—
1421C24—261no—
1422#41—22no—
1423#41—22no—
1424#41—22no—
1425#41—22no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—44no—
1439#41—44no—
1440#41—44no—
1441#41—44no—
1442#41—44no—
1443#41—44no—
1444#41—521no—
1445#41—521no—
1446#41—521no—
1447#41—521no—
1448C2×Q8—22no—
1449C2×Q8—22no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—22no—
1456C2×Q8—22no—
1457C2×Q8—22no—
1458C2×Q8—22no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—44no—
1464C2×Q8—44no—
1465C2×Q8—131no—
1466C2×Q8—131no—
1467C2×Q8—261no—
1468C2×Q8—521no—
1469C2×Q8—521no—
1470C2×Q8C2×C22⋊D1311yescharacteristic
1471C2×Q8C2×C22⋊D1311yescharacteristic
1472C2×Q8C23×D1311yescharacteristic
1473C2×Q8C23×D1311yescharacteristic
1474C2×Q8C23×D1311yescharacteristic
1475C2×Q8C23×D1311yescharacteristic
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—131no—
1489C2×D4—131no—
1490C2×D4—261no—
1491C2×D4—261no—
1492C2×D4—261no—
1493C2×D4—261no—
1494C2×D4—261no—
1495C2×D4—261no—
1496C2×D4—261no—
1497C2×D4—261no—
1498C2×D4—261no—
1499C2×D4—521no—
1500C2×D4—521no—
1501C2×D4C2×C22⋊D1311yescharacteristic
1502C2×D4C2×C22⋊D1311yescharacteristic
1503C2×D4C2×C22⋊D1311yescharacteristic
1504C2×D4C2×C22⋊D1311yescharacteristic
1505C2×D4C2×C22⋊D1311yescharacteristic
1506C2×D4C2×C22⋊D1311yescharacteristic
1507C2×D4C2×C22⋊D1311yescharacteristic
1508C2×D4C2×C22⋊D1311yescharacteristic
1509C2×D4C2×C22⋊D1311yescharacteristic
1510C2×D4C2×C22⋊D1311yescharacteristic
1511C2×D4C23×D1311yescharacteristic
1512C2×D4C23×D1311yescharacteristic
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—261no—
1526C22×C4—261no—
1527C22×C4—261no—
1528C22×C4—261no—
1529C22×C4—261no—
1530C22×C4—261no—
1531C22×C4—261no—
1532C22×C4C2×C22⋊D1311yescharacteristic
1533C22×C4C2×C22⋊D1311yescharacteristic
1534C22×C4C23×D1311yescharacteristic
1535C22×C4C23×D1311yescharacteristic
1536C22×C4C23×D1311yescharacteristic
1537C22×C4C23×D1311yescharacteristic
1538C22×C4C23×D1311yescharacteristic
1539Q16—262no—
1540Q16—262no—
1541Q16—262no—
1542Q16—262no—
1543Q16—521no—
1544Q16—521no—
1545Q16—521no—
1546Q16—521no—
1547SD16—262no—
1548SD16—262no—
1549SD16—262no—
1550SD16—262no—
1551SD16—521no—
1552SD16—521no—
1553SD16—521no—
1554SD16—521no—
1555SD16—521no—
1556SD16—521no—
1557SD16—521no—
1558SD16—521no—
1559D8—521no—
1560D8—521no—
1561D8—521no—
1562D8—521no—
1563M16—521no—
1564M16—521no—
1565M16—521no—
1566M16—521no—
1567C2×C8—131no—
1568C2×C8—131no—
1569C2×C8—131no—
1570C2×C8—131no—
1571C2×C8—131no—
1572C2×C8—131no—
1573C2×C8—131no—
1574C2×C8—131no—
1575C2×C8—521no—
1576C2×C8—521no—
1577C2×C8—521no—
1578C2×C8—521no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—131no—
1591C4⋊C4—131no—
1592C4⋊C4—131no—
1593C4⋊C4—131no—
1594C4⋊C4—261no—
1595C4⋊C4—261no—
1596C4⋊C4—261no—
1597C4⋊C4—261no—
1598C4⋊C4—261no—
1599C4⋊C4—261no—
1600C4⋊C4—261no—
1601C4⋊C4—261no—
1602C4⋊C4—261no—
1603C4⋊C4—261no—
1604C4⋊C4—261no—
1605C4⋊C4—261no—
1606C4⋊C4—261no—
1607C4⋊C4—261no—
1608C4⋊C4C2×C22⋊D1311yescharacteristic
1609C4⋊C4C2×C22⋊D1311yescharacteristic
1610C4⋊C4C2×C22⋊D1311yescharacteristic
1611C4⋊C4C2×C22⋊D1311yescharacteristic
1612C4⋊C4C23×D1311yescharacteristic
1613C4⋊C4C23×D1311yescharacteristic
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—261no—
1627C22⋊C4—261no—
1628C22⋊C4—261no—
1629C22⋊C4—261no—
1630C22⋊C4—261no—
1631C22⋊C4—261no—
1632C22⋊C4—261no—
1633C22⋊C4—261no—
1634C22⋊C4—261no—
1635C22⋊C4—261no—
1636C22⋊C4—261no—
1637C22⋊C4—261no—
1638C22⋊C4—261no—
1639C22⋊C4—261no—
1640C22⋊C4—261no—
1641C22⋊C4—261no—
1642C22⋊C4—261no—
1643C22⋊C4—261no—
1644C22⋊C4—261no—
1645C22⋊C4—261no—
1646C22⋊C4C2×C22⋊D1311yescharacteristic
1647C22⋊C4C2×C22⋊D1311yescharacteristic
1648C22⋊C4C2×C22⋊D1311yescharacteristic
1649C22⋊C4C2×C22⋊D1311yescharacteristic
1650C22⋊C4C2×C22⋊D1311yescharacteristic
1651C22⋊C4C2×C22⋊D1311yescharacteristic
1652C22⋊C4C2×C22⋊D1311yescharacteristic
1653C22⋊C4C2×C22⋊D1311yescharacteristic
1654C42—21no—
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42—261no—
1659C42—261no—
1660C42—261no—
1661C42—261no—
1662C42C2×C22⋊D1311yescharacteristic
1663C42C2×C22⋊D1311yescharacteristic
1664C42C23×D1311yescharacteristic
1665C42C23×D1311yescharacteristic
1666C13#6168111yescharacteristic, complemented, Sylow
1667C23—21no—
1668C23—21no—
1669C23—261no—
1670C23—261no—
1671C23—1041no—
1672C23—1041no—
1673C23—1041no—
1674C23C22×C22⋊D1311yescharacteristic
1675C23C22×C22⋊D1311yescharacteristic
1676C23C22×C22⋊D1311yescharacteristic
1677C23C22×C22⋊D1311yescharacteristic
1678C23C22×C22⋊D1311yescharacteristic
1679Q8—24no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—41no—
1687Q8—41no—
1688Q8—42no—
1689Q8—42no—
1690Q8—42no—
1691Q8—42no—
1692Q8—261no—
1693Q8—261no—
1694Q8—261no—
1695Q8—261no—
1696Q8—1041no—
1697Q8#8825112yes—
1698Q8#8825112yes—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—41no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—41no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—42no—
1714D4—42no—
1715D4—42no—
1716D4—42no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—81no—
1721D4—81no—
1722D4—81no—
1723D4—81no—
1724D4—81no—
1725D4—261no—
1726D4—261no—
1727D4—261no—
1728D4—261no—
1729D4—1041no—
1730D4—1041no—
1731D4—1041no—
1732D4—1041no—
1733D4—1041no—
1734D4—1041no—
1735D4—1041no—
1736D4—1041no—
1737D4—1041no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—42no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—42no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—81no—
1768C2×C4—261no—
1769C2×C4—261no—
1770C2×C4—261no—
1771C2×C4—261no—
1772C2×C4—261no—
1773C2×C4—261no—
1774C2×C4—1041no—
1775C2×C4—1041no—
1776C2×C4—1041no—
1777C2×C4—1041no—
1778C2×C4—1041no—
1779C2×C4—1041no—
1780C2×C4—1041no—
1781C2×C4C22×C22⋊D1311yescharacteristic
1782C2×C4C22×C22⋊D1311yescharacteristic
1783C2×C4C22×C22⋊D1311yescharacteristic
1784C2×C4C22×C22⋊D1311yescharacteristic
1785C2×C4C22×C22⋊D1311yescharacteristic
1786C2×C4C22×C22⋊D1311yescharacteristic
1787C2×C4C22×C22⋊D1311yescharacteristic
1788C2×C4C22×C22⋊D1311yescharacteristic
1789C2×C4C22×C22⋊D1311yescharacteristic
1790C2×C4C24×D1311yescharacteristic
1791C8—261no—
1792C8—261no—
1793C8—261no—
1794C8—261no—
1795C8—261no—
1796C8—261no—
1797C8—261no—
1798C8—261no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—521no—
1821C22—521no—
1822C22—521no—
1823C22—521no—
1824C22—521no—
1825C22—521no—
1826C22—2082no—
1827C22C23×C22⋊D1311yescharacteristic
1828C4—22no—
1829C4—22no—
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—521no—
1844C4—521no—
1845C4—521no—
1846C4—521no—
1847C4—521no—
1848C4—521no—
1849C4C2×#8825111yescharacteristic
1850C4C2×#8825111yescharacteristic
1851C2—41no—
1852C2—41no—
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—1041no—
1859C2—1041no—
1860C2#1312847111yescharacteristic
1861C2#1312960711yescharacteristic
1862C2#1312962311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3497C2
socleC22×C13C23×D4
hypercenter#3497D13
hypocenterC13#61681
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #532 ◁ #3497

Complements

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

NH ≅ G/Ntype
1. #13129263C2semidirect
2. #13127104C2semidirect
3. #13127089C2semidirect
4. #13127007C2semidirect
5. #13126962C2semidirect
6. #13126887C2semidirect
7. #13126842C2semidirect
8. #13126738C2semidirect
9. #13126723C2semidirect
10. #13126573C2semidirect
11. #13126544C2semidirect
12. #13126489C2semidirect
13. #13126468C2semidirect
14. #13126417C2semidirect
15. #13126407C2semidirect
16. #13126377C2semidirect
17. #13126347C2semidirect
18. #13125873C2semidirect
19. #13125812C2semidirect
20. #13125742C2semidirect
21. #13125733C2semidirect
22. #13125712C2semidirect
23. #13125682C2semidirect
24. #13125007C2semidirect
25. #13124916C2semidirect
26. #13124151C2semidirect
27. #13124151C2semidirect
28. #13124131C2semidirect
29. #13124122C2semidirect
30. #13123912C2semidirect
31. C13×#3497C2semidirect
33. C2×C13×2−1+4C22semidirect
36. C13×#550C22semidirect
39. D4×Q8×C13C22semidirect
44. C13×#548C22semidirect
45. C13×#548C22semidirect
49. C13×#537C22semidirect
53. C13×#532C22semidirect
54. C2×C4×Q8×C13C22semidirect
59. C2×#88205C22semidirect
63. C22×#6107C22semidirect
87. #11718900C22semidirect
88. #11718900C22semidirect
89. #11718900C22semidirect
90. #11718900C22semidirect
91. #11718900C22semidirect
92. #11718900C22semidirect
103. #11718895C22semidirect
104. #11718895C22semidirect
106. #11718894C22semidirect
107. #11718893C22semidirect
108. #11718893C22semidirect
111. #11718889C22semidirect
112. #11718889C22semidirect
113. #11718889C22semidirect
114. #11718889C22semidirect
122. #11718886C22semidirect
123. C2×#88075C22semidirect
124. C2×#88075C22semidirect
125. #11718751C22semidirect
128. #11718743C22semidirect
129. #11718736C22semidirect
132. #11718732C22semidirect
137. #11718717C22semidirect
138. #11718717C22semidirect
139. #11718715C22semidirect
140. #11718715C22semidirect
142. #11718713C22semidirect
144. #11718712C22semidirect
145. #11718711C22semidirect
154. #11718706C22semidirect
155. #11718705C22semidirect
156. #11718704C22semidirect
158. #11718703C22semidirect
160. #11718702C22semidirect
161. #11718701C22semidirect
170. #11718696C22semidirect
171. #11718695C22semidirect
172. #11718694C22semidirect
173. #11718691C22semidirect
174. #11718691C22semidirect
175. C4×#6107C22semidirect
176. C4×#6107C22semidirect
185. #11718683C22semidirect
186. #11718683C22semidirect
187. #11718683C22semidirect
188. #11718683C22semidirect
190. #11718673C22semidirect
193. #11718672C22semidirect
194. #11718672C22semidirect
196. D4×#1055C22semidirect
197. #11718632C22semidirect
198. #11718631C22semidirect
201. #11718587C22semidirect
202. #11718586C22semidirect
737. #3497D13semidirect
900. C2×2−1+4C2×D13semidirect
919. #550C2×D13semidirect
922. D4×Q8C2×D13semidirect
929. #548C2×D13semidirect
930. #548C2×D13semidirect
942. #537C2×D13semidirect
948. #532C2×D13semidirect
951. C2×C4×Q8C2×D13semidirect
1666. C13#61681semidirect

Maximal subgroups

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

subgroupindex
#131292632
#131271042
#131270892
#131270072
#131269622
#131268872
#131268422
#131267382
#131267232
#131265732
#131265442
#131264892
#131264682
#131264172
#131264072
#131263772
#131263472
#131258732
#131258122
#131257422
#131257332
#131257122
#131256822
#131250072
#131249162
#131241512
#131241312
#131241222
#131239122
C13×#34972
#6168113