Finite Group Databasebeta

← #16748217

Subgroups — #16748217

Order 3328.

2392 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128593C211yesmaximal, characteristic, complemented
2#41×C22⋊D13C211yesmaximal, characteristic, complemented
3#13127156C211yesmaximal, characteristic, complemented
4#13127134C211yesmaximal, characteristic, complemented
5#13126823C211yesmaximal, characteristic, complemented
6#13126820C211yesmaximal, characteristic, complemented
7#13126793C211yesmaximal, characteristic, complemented
8#13126790C211yesmaximal, characteristic, complemented
9#13126697C211yesmaximal, characteristic, complemented
10#13126645C211yesmaximal, characteristic, complemented
11SD16×C22⋊D13C211yesmaximal, characteristic, complemented
12D8×C22⋊D13C211yesmaximal, characteristic, complemented
13#13126449C211yesmaximal, characteristic, complemented
14#13126429C211yesmaximal, characteristic, complemented
15#13126334C211yesmaximal, characteristic, complemented
16#13126331C211yesmaximal, characteristic, complemented
17#13126319C211yesmaximal, characteristic, complemented
18#13126316C211yesmaximal, characteristic, complemented
19#13125828C211yesmaximal, characteristic, complemented
20#13125767C211yesmaximal, characteristic, complemented
21#13125650C211yesmaximal, characteristic, complemented
22#13125648C211yesmaximal, characteristic, complemented
23#13125603C211yesmaximal, characteristic, complemented
24#13125599C211yesmaximal, characteristic, complemented
25#13124980C211yesmaximal, characteristic, complemented
26#13124889C211yesmaximal, characteristic, complemented
27#13124088C211yesmaximal, characteristic, complemented
28#13124085C211yesmaximal, characteristic, complemented
29D13×#449C211yesmaximal, characteristic, complemented
30#13123867C211yesmaximal, characteristic, complemented
31C2×C13×#449C211yesmaximal, characteristic, complemented
32C22×C13×#41C2211yescharacteristic, complemented
33C2×#41×D13C2211yescharacteristic, complemented
34C2×#88251—21no—
35C22×C13×SD16C2211yescharacteristic, complemented
36C22×C13×D8C2211yescharacteristic, complemented
37C2×C13×#121C2211yescharacteristic, complemented
38#11719539C2211yescharacteristic, complemented
39#11719537—21no—
40#11719537C2211yescharacteristic, complemented
41#11719536C2211yescharacteristic, complemented
42#11719534—21no—
43#11719534C2211yescharacteristic, complemented
44#11719533—21no—
45#11719533C2211yescharacteristic, complemented
46#41×Dic13C2211yescharacteristic, complemented
47#11719529—21no—
48#11719529C2211yescharacteristic, complemented
49C2×#88203C2211yescharacteristic, complemented
50C2×#88203C2211yescharacteristic, complemented
51#11719522C2211yescharacteristic, complemented
52Q8×C22⋊D13C2211yescharacteristic, complemented
53#11719511—21no—
54#11719511C2211yescharacteristic, complemented
55#11719509—21no—
56D4×C22⋊D13—21no—
57D4×C22⋊D13C2211yescharacteristic
58D4×C22⋊D13C2211yescharacteristic, complemented
59D4×C22⋊D13C2211yescharacteristic, complemented
60#11719496—21no—
61#11719496C2211yescharacteristic, complemented
62C2×#88184C2211yescharacteristic, complemented
63C2×C4×C22⋊D13—21no—
64C2×C4×C22⋊D13C2211yescharacteristic
65C2×#88168C2211yescharacteristic, complemented
66C2×SD16×D13C2211yescharacteristic, complemented
67C2×#88165C2211yescharacteristic, complemented
68C2×D8×D13C2211yescharacteristic, complemented
69#11719316C2211yescharacteristic, complemented
70#11719316C2211yescharacteristic, complemented
71#11719315—21no—
72#11719315—21no—
73#11719314C2211yescharacteristic, complemented
74#11719314C2211yescharacteristic, complemented
75#11719310—21no—
76D13×#121C2211yescharacteristic, complemented
77D13×#121C2211yescharacteristic, complemented
78#11719302—21no—
79#11719301C2211yescharacteristic, complemented
80#11719301C2211yescharacteristic, complemented
81#11719212C2211yescharacteristic
82#11719212C2211yescharacteristic, complemented
83#11719195—21no—
84#11719195—21no—
85C13×#449C2211yescharacteristic, complemented
86C13×#449C2211yescharacteristic, complemented
87C13×#449C2211yescharacteristic, complemented
88C13×#449C2211yescharacteristic, complemented
89C13×#449C2211yescharacteristic, complemented
90C13×#449C2211yescharacteristic, complemented
91C13×#449C2211yescharacteristic, complemented
92C13×#449C2211yescharacteristic, complemented
93C2×C13×#103C2211yescharacteristic, complemented
94C2×C13×#102C2211yescharacteristic, complemented
95C2×C13×C22⋊C8C2211yescharacteristic, complemented
96#11718899C2211yescharacteristic, complemented
97#11718899C2211yescharacteristic, complemented
98#11718899C2211yescharacteristic, complemented
99#11718899C2211yescharacteristic, complemented
100#11718893C2211yescharacteristic, complemented
101#11718893C2211yescharacteristic, complemented
102#11718888C2211yescharacteristic, complemented
103#11718888C2211yescharacteristic, complemented
104#11718879C2211yescharacteristic, complemented
105#11718878C2211yescharacteristic, complemented
106#11718878C2211yescharacteristic, complemented
107#11718878C2211yescharacteristic, complemented
108#11718868C2211yescharacteristic, complemented
109#11718837C2211yescharacteristic, complemented
110#11718836C2211yescharacteristic, complemented
111#11718835C2211yescharacteristic, complemented
112#11718833C2211yescharacteristic, complemented
113#11718832C2211yescharacteristic, complemented
114#11718831C2211yescharacteristic, complemented
115#11718830C2211yescharacteristic, complemented
116#11718830C2211yescharacteristic, complemented
117#11718826C2211yescharacteristic, complemented
118#11718825C2211yescharacteristic, complemented
119#11718824C2211yescharacteristic, complemented
120#11718824C2211yescharacteristic, complemented
121#11718823C2211yescharacteristic, complemented
122SD16×Dic13C2211yescharacteristic, complemented
123#11718820C2211yescharacteristic, complemented
124#11718819C2211yescharacteristic, complemented
125#11718818C2211yescharacteristic, complemented
126#11718817C2211yescharacteristic, complemented
127#11718817C2211yescharacteristic, complemented
128#11718817C2211yescharacteristic, complemented
129#11718815C2211yescharacteristic, complemented
130#11718814C2211yescharacteristic, complemented
131#11718813C2211yescharacteristic, complemented
132#11718812C2211yescharacteristic, complemented
133#11718811C2211yescharacteristic, complemented
134#11718811C2211yescharacteristic, complemented
135#11718811C2211yescharacteristic, complemented
136D8×Dic13C2211yescharacteristic, complemented
137#11718776C2211yescharacteristic, complemented
138#11718776C2211yescharacteristic, complemented
139#11718775C2211yescharacteristic, complemented
140#11718775C2211yescharacteristic, complemented
141#11718772C2211yescharacteristic, complemented
142#11718772C2211yescharacteristic, complemented
143C8×C22⋊D13C2211yescharacteristic, complemented
144C8×C22⋊D13C2211yescharacteristic, complemented
145#11718703C2211yescharacteristic, complemented
146#11718703C2211yescharacteristic, complemented
147#11718700C2211yescharacteristic, complemented
148#11718700C2211yescharacteristic, complemented
149#11718698C2211yescharacteristic, complemented
150#11718698C2211yescharacteristic, complemented
151#11718696C2211yescharacteristic, complemented
152#11718696C2211yescharacteristic, complemented
153#11718632C2211yescharacteristic, complemented
154#11718628C2211yescharacteristic, complemented
155#11718480C2211yescharacteristic, complemented
156#11718479C2211yescharacteristic, complemented
157#11718478C2211yescharacteristic, complemented
158#11718473C2211yescharacteristic, complemented
159#11718472C2211yescharacteristic, complemented
160#11718470C2211yescharacteristic, complemented
161#11718468C2211yescharacteristic, complemented
162#11718467C2211yescharacteristic, complemented
163#11718466C2211yescharacteristic, complemented
164#11718464C2211yescharacteristic, complemented
165D13×#103C2211yescharacteristic, complemented
166#11718456C2211yescharacteristic, complemented
167#11718455C2211yescharacteristic, complemented
168#11718453C2211yescharacteristic, complemented
169#11718452C2211yescharacteristic, complemented
170#11718449C2211yescharacteristic, complemented
171#11718448C2211yescharacteristic, complemented
172#11718447C2211yescharacteristic, complemented
173#11718446C2211yescharacteristic, complemented
174#11718443C2211yescharacteristic, complemented
175#11718442C2211yescharacteristic, complemented
176#11718438C2211yescharacteristic, complemented
177#11718436C2211yescharacteristic, complemented
178#11718435C2211yescharacteristic, complemented
179#11718434C2211yescharacteristic, complemented
180#11718432C2211yescharacteristic, complemented
181D13×#102C2211yescharacteristic, complemented
182#11718426C2211yescharacteristic, complemented
183#11718422C2211yescharacteristic, complemented
184#11718421C2211yescharacteristic, complemented
185#11718420C2211yescharacteristic, complemented
186#11718417C2211yescharacteristic, complemented
187#11718398C2211yescharacteristic, complemented
188#11718398C2211yescharacteristic, complemented
189#11718396C2211yescharacteristic, complemented
190#11718395C2211yescharacteristic, complemented
191#11718395C2211yescharacteristic, complemented
192#11718393C2211yescharacteristic, complemented
193#11718392C2211yescharacteristic, complemented
194#11718390C2211yescharacteristic, complemented
195#11718390C2211yescharacteristic, complemented
196#11718389C2211yescharacteristic, complemented
197#11718389C2211yescharacteristic, complemented
198#11718387C2211yescharacteristic, complemented
199D13×C22⋊C8C2211yescharacteristic, complemented
200#11718383C2211yescharacteristic, complemented
201#11718380C2211yescharacteristic, complemented
202#11718379C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204C2×C13×#41—21no—
205C2×C13×#41—42no—
206C2×C13×#41—42no—
207C2×C13×#41C2311yescharacteristic
208C2×C13×#41C2311yescharacteristic
209C2×C13×#41C2311yescharacteristic
210C2×C13×#41C2311yescharacteristic
211C22×Q8×C13C2311yescharacteristic
212C22×D4×C13—21no—
213C22×D4×C13—21no—
214C22×D4×C13C2311yescharacteristic
215C22×D4×C13C2311yescharacteristic
216C23×C4×C13—21no—
217C23×C4×C13C2311yescharacteristic
218C22×C22⋊D13—21no—
219C22×C22⋊D13—21no—
220C22×C22⋊D13—21no—
221C22×C22⋊D13—21no—
222C22×C22⋊D13D411yescharacteristic
223#41×D13—42no—
224#41×D13—42no—
225C2×#6131C2311yescharacteristic
226C2×Q8×D13C2311yescharacteristic
227#88251—48no—
228C2×#6129—21no—
229C2×#6129—21no—
230C2×#6129—21no—
231C2×#6129—21no—
232C2×#6129—21no—
233C2×#6129C2311yescharacteristic
234C2×D4×D13—21no—
235C2×D4×D13—21no—
236C2×D4×D13—21no—
237C2×D4×D13—21no—
238C2×D4×D13—21no—
239C2×D4×D13C2311yescharacteristic
240C2×D4×D13C2311yescharacteristic
241C2×D4×D13C2311yescharacteristic
242C2×#6127—21no—
243C2×#6127—21no—
244C2×#6127—21no—
245C2×#6127C2311yescharacteristic
246C22×D52C2311yescharacteristic
247C22×C4×D13—21no—
248C22×C4×D13C2311yescharacteristic
249C2×C13×SD16—42no—
250C2×C13×SD16C2311yescharacteristic
251C2×C13×SD16C2311yescharacteristic
252C2×C13×SD16C2311yescharacteristic
253C2×C13×SD16C2311yescharacteristic
254C2×C13×D8—42no—
255C2×C13×D8C2311yescharacteristic
256C2×C13×D8C2311yescharacteristic
257C2×C13×D8C2311yescharacteristic
258C2×C13×D8C2311yescharacteristic
259C22×C8×C13C2311yescharacteristic
260C22×C8×C13C2311yescharacteristic
261C13×#121—21no—
262C13×#121—21no—
263C13×#121C2311yescharacteristic
264C13×#121C2311yescharacteristic
265C13×#121C2311yescharacteristic
266C13×#121C2311yescharacteristic
267C2×C13×C4⋊C4C2311yescharacteristic
268C2×C13×C22⋊C4—21no—
269#88207—21no—
270#88207—21no—
271#88207—21no—
272#88207—21no—
273#88207—21no—
274C2×C22⋊Dic13—21no—
275C2×C22⋊Dic13D411yescharacteristic
276#88203—42no—
277#88203—42no—
278#88201—21no—
279#88201C2311yescharacteristic
280#88200—21no—
281#88200—21no—
282#88200C2311yescharacteristic
283#88200C2311yescharacteristic
284Q8×Dic13C2311yescharacteristic
285Q8×Dic13C2311yescharacteristic
286#88198—21no—
287#88198C2311yescharacteristic
288C2×#6106C2311yescharacteristic
289C2×#6106C2311yescharacteristic
290C2×#6106C2311yescharacteristic
291C2×#6106C2311yescharacteristic
292#88194—21no—
293#88194C2311yescharacteristic
294#88194C2311yescharacteristic
295#88194C2311yescharacteristic
296#88193—21no—
297#88193—21no—
298#88193—21no—
299#88193—21no—
300#88193—21no—
301#88193—21no—
302#88193—21no—
303#88193—21no—
304#88193—21no—
305#88193—21no—
306#88193—21no—
307#88193—21no—
308#88192—21no—
309#88192—21no—
310#88192C2311yescharacteristic
311#88192C2311yescharacteristic
312#88192C2311yescharacteristic
313#88192C2311yescharacteristic
314#88191—21no—
315#88191—21no—
316#88191—21no—
317#88191—21no—
318#88191—21no—
319#88191—21no—
320#88191—21no—
321#88190—21no—
322#88190C2311yescharacteristic
323#88189—21no—
324#88189—21no—
325#88189—21no—
326#88189—21no—
327#88189—21no—
328D4×Dic13—21no—
329D4×Dic13—21no—
330D4×Dic13C2311yescharacteristic
331D4×Dic13C2311yescharacteristic
332D4×Dic13C2311yescharacteristic
333D4×Dic13C2311yescharacteristic
334C2×#6105C2311yescharacteristic
335C2×#6105C2311yescharacteristic
336C2×#6104C2311yescharacteristic
337C2×#6104C2311yescharacteristic
338C2×#6104C2311yescharacteristic
339C2×#6104C2311yescharacteristic
340C2×#6104C2311yescharacteristic
341C2×#6104C2311yescharacteristic
342#88184—21no—
343#88184—21no—
344#88184—21no—
345#88184—21no—
346#88184C2311yescharacteristic
347#88184C2311yescharacteristic
348#88184C2311yescharacteristic
349#88184C2311yescharacteristic
350#88184C2311yescharacteristic
351#88184C2311yescharacteristic
352#88183—21no—
353#88183—21no—
354#88183—21no—
355#88183—21no—
356#88183—21no—
357C4×C22⋊D13—21no—
358C4×C22⋊D13—21no—
359C4×C22⋊D13—21no—
360C4×C22⋊D13—21no—
361C4×C22⋊D13—21no—
362C4×C22⋊D13—21no—
363C4×C22⋊D13—21no—
364C4×C22⋊D13—21no—
365C4×C22⋊D13—21no—
366C4×C22⋊D13—21no—
367C4×C22⋊D13D411yescharacteristic
368C4×C22⋊D13D411yescharacteristic
369C4×C22⋊D13D411yescharacteristic
370C4×C22⋊D13D411yescharacteristic
371C4×C22⋊D13C2311yescharacteristic
372C4×C22⋊D13C2311yescharacteristic
373C4×C22⋊D13C2311yescharacteristic
374C4×C22⋊D13C2311yescharacteristic
375C2×#6103—21no—
376C2×#6103—21no—
377C2×#6103D411yescharacteristic
378#88180—21no—
379#88180C2311yescharacteristic
380C2×C4⋊Dic13C2311yescharacteristic
381#88178—21no—
382#88178—21no—
383#88178C2311yescharacteristic
384#88178C2311yescharacteristic
385C2×#6101—21no—
386C2×#6101D411yescharacteristic
387C2×C4×Dic13—21no—
388C2×C4×Dic13C2311yescharacteristic
389C2×#6099C2311yescharacteristic
390C2×#6099C2311yescharacteristic
391#88168—42no—
392SD16×D13—42no—
393#88165—42no—
394D8×D13—42no—
395C2×D104C2311yescharacteristic
396C2×D104C2311yescharacteristic
397C2×#6095C2311yescharacteristic
398C2×#6095C2311yescharacteristic
399C2×#6094C2311yescharacteristic
400C2×#6094C2311yescharacteristic
401C2×C8×D13C2311yescharacteristic
402C2×C8×D13C2311yescharacteristic
403#88150—21no—
404#88150—21no—
405#88149C2311yescharacteristic
406#88149C2311yescharacteristic
407#88148—21no—
408#88148—21no—
409#88147C2311yescharacteristic
410#88147C2311yescharacteristic
411C4⋊C4×D13C2311yescharacteristic
412C4⋊C4×D13C2311yescharacteristic
413#88142C2311yescharacteristic
414#88142C2311yescharacteristic
415#88139—21no—
416#88139—21no—
417#88138—21no—
418#88138—21no—
419#88138—21no—
420#88138—21no—
421#88137—21no—
422#88137—21no—
423#88136—21no—
424#88136—21no—
425#88135—21no—
426#88135—21no—
427C22⋊C4×D13—21no—
428C22⋊C4×D13—21no—
429#88132—21no—
430#88132—21no—
431C13×#103C2311yescharacteristic
432C13×#103C2311yescharacteristic
433C13×#103C2311yescharacteristic
434C13×#103C2311yescharacteristic
435C13×#102C2311yescharacteristic
436C13×#102C2311yescharacteristic
437C13×#102C2311yescharacteristic
438C13×#102C2311yescharacteristic
439C13×C22⋊C8C2311yescharacteristic
440C13×C22⋊C8C2311yescharacteristic
441C13×C22⋊C8C2311yescharacteristic
442C13×C22⋊C8C2311yescharacteristic
443#88075C2311yescharacteristic
444#88075C2311yescharacteristic
445#88075C2311yescharacteristic
446#88075C2311yescharacteristic
447#88072C2311yescharacteristic
448#88072C2311yescharacteristic
449#88072C2311yescharacteristic
450#88072C2311yescharacteristic
451#88072C2311yescharacteristic
452#88072C2311yescharacteristic
453#88072C2311yescharacteristic
454#88072C2311yescharacteristic
455C22⋊#1055C2311yescharacteristic
456C22⋊#1055C2311yescharacteristic
457C22⋊#1055C2311yescharacteristic
458C22⋊#1055C2311yescharacteristic
459#88061C2311yescharacteristic
460#88061C2311yescharacteristic
461#88061C2311yescharacteristic
462#88061C2311yescharacteristic
463#88061C2311yescharacteristic
464#88061C2311yescharacteristic
465#88060C2311yescharacteristic
466#88060C2311yescharacteristic
467#88060C2311yescharacteristic
468#88060C2311yescharacteristic
469#88058C2311yescharacteristic
470#88058C2311yescharacteristic
471#88057C2311yescharacteristic
472#88057C2311yescharacteristic
473#88056C2311yescharacteristic
474#88056C2311yescharacteristic
475#88055C2311yescharacteristic
476#88055C2311yescharacteristic
477#88054C2311yescharacteristic
478#88054C2311yescharacteristic
479#88054C2311yescharacteristic
480#88054C2311yescharacteristic
481C8×Dic13C2311yescharacteristic
482C8×Dic13C2311yescharacteristic
483#88050C2311yescharacteristic
484#88050C2311yescharacteristic
485#88049C2311yescharacteristic
486#88049C2311yescharacteristic
487#88048C2311yescharacteristic
488#88048C2311yescharacteristic
489#88047C2311yescharacteristic
490#88047C2311yescharacteristic
491#61598—131nomaximal, Sylow
492C24×C13—21no—
493C24×C13—21no—
494C24×C13C2×D411yescharacteristic
495C23×D13—21no—
496C23×D13—21no—
497C23×D13—21no—
498C23×D13—21no—
499C23×D13C2×D411yescharacteristic
500C13×#41—22no—
501C13×#41—22no—
502C13×#41—22no—
503C13×#41—22no—
504C13×#41—41no—
505C13×#41—41no—
506C13×#41—41no—
507C13×#41—41no—
508C13×#41—44no—
509C13×#41—44no—
510C2×Q8×C13—21no—
511C2×Q8×C13—22no—
512C2×Q8×C13—41no—
513C2×Q8×C13C2411yescharacteristic
514C2×Q8×C13C2411yescharacteristic
515C2×D4×C13—21no—
516C2×D4×C13—22no—
517C2×D4×C13—21no—
518C2×D4×C13—21no—
519C2×D4×C13—21no—
520C2×D4×C13—21no—
521C2×D4×C13—21no—
522C2×D4×C13—21no—
523C2×D4×C13—21no—
524C2×D4×C13—21no—
525C2×D4×C13—21no—
526C2×D4×C13—41no—
527C2×D4×C13—41no—
528C2×D4×C13—41no—
529C2×D4×C13—44no—
530C2×D4×C13—44no—
531C2×D4×C13C2411yescharacteristic
532C2×D4×C13C2411yescharacteristic
533C2×D4×C13C2411yescharacteristic
534C2×D4×C13C2411yescharacteristic
535C22×C4×C13—21no—
536C22×C4×C13—21no—
537C22×C4×C13—21no—
538C22×C4×C13—21no—
539C22×C4×C13—21no—
540C22×C4×C13—21no—
541C22×C4×C13—41no—
542C22×C4×C13—41no—
543C22×C4×C13—44no—
544C22×C4×C13C2×D411yescharacteristic
545C22×C4×C13C2×D411yescharacteristic
546C22×C4×C13C2×D411yescharacteristic
547C22×C4×C13C2411yescharacteristic
548C22×C4×C13C2411yescharacteristic
549C22×C4×C13C2411yescharacteristic
550C2×C22⋊D13—24no—
551C2×C22⋊D13—21no—
552C2×C22⋊D13—21no—
553C2×C22⋊D13—21no—
554C2×C22⋊D13—21no—
555C2×C22⋊D13—21no—
556C2×C22⋊D13—21no—
557C2×C22⋊D13—21no—
558C2×C22⋊D13—21no—
559C2×C22⋊D13—21no—
560C2×C22⋊D13—21no—
561C2×C22⋊D13—21no—
562C2×C22⋊D13—21no—
563C2×C22⋊D13—21no—
564C2×C22⋊D13—21no—
565C2×C22⋊D13—21no—
566C2×C22⋊D13—21no—
567C2×C22⋊D13—21no—
568C2×C22⋊D13—21no—
569C2×C22⋊D13—21no—
570C2×C22⋊D13—21no—
571C2×C22⋊D13—21no—
572C2×C22⋊D13—44no—
573C2×C22⋊D13—44no—
574C2×C22⋊D13—44no—
575C2×C22⋊D13—44no—
576C2×C22⋊D13C2×D411yescharacteristic
577C2×C22⋊D13C2×D411yescharacteristic
578C2×C22⋊D13C2×D411yescharacteristic
579C2×C22⋊D13C2×D411yescharacteristic
580C22×Dic13—21no—
581C22×Dic13—21no—
582C22×Dic13—21no—
583C22×Dic13—21no—
584C22×Dic13—21no—
585C22×Dic13—21no—
586C22×Dic13C2×D411yescharacteristic
587C22×Dic13C2×D411yescharacteristic
588C22×Dic13C2×D411yescharacteristic
589#6131—22no—
590#6131—41no—
591Q8×D13—22no—
592Q8×D13—41no—
593#6129—22no—
594#6129—41no—
595#6129—44no—
596#6129—44no—
597#6129—44no—
598#6129—44no—
599#6129—44no—
600D4×D13—22no—
601D4×D13—41no—
602D4×D13—41no—
603D4×D13—41no—
604D4×D13—41no—
605D4×D13—41no—
606D4×D13—44no—
607D4×D13—44no—
608D4×D13—44no—
609D4×D13—44no—
610D4×D13—44no—
611#6127—41no—
612#6127—41no—
613#6127—44no—
614#6127—44no—
615#6127—44no—
616C2×D52—21no—
617C2×D52—21no—
618C2×D52—21no—
619C2×D52—21no—
620C2×D52—41no—
621C2×D52—41no—
622C2×D52C2411yescharacteristic
623C2×D52C2411yescharacteristic
624C2×D52C2411yescharacteristic
625C2×C4×D13—21no—
626C2×C4×D13—21no—
627C2×C4×D13—21no—
628C2×C4×D13—21no—
629C2×C4×D13—21no—
630C2×C4×D13—21no—
631C2×C4×D13—21no—
632C2×C4×D13—41no—
633C2×C4×D13—41no—
634C2×C4×D13—44no—
635C2×C4×D13C2×D411yescharacteristic
636C2×C4×D13C2×D411yescharacteristic
637C2×C4×D13C2411yescharacteristic
638C2×C4×D13C2411yescharacteristic
639C2×Dic26—21no—
640C2×Dic26—21no—
641C2×Dic26—21no—
642C2×Dic26C2411yescharacteristic
643C13×SD16—22no—
644C13×SD16—22no—
645C13×SD16—41no—
646C13×SD16—41no—
647C13×D8—22no—
648C13×D8—22no—
649C13×D8—41no—
650C13×D8—41no—
651C2×C8×C13—41no—
652C2×C8×C13—41no—
653C2×C8×C13C2411yescharacteristic
654C2×C8×C13C2411yescharacteristic
655C2×C8×C13C2411yescharacteristic
656C2×C8×C13C2411yescharacteristic
657C13×C4⋊C4—21no—
658C13×C4⋊C4C2411yescharacteristic
659C13×C4⋊C4C2411yescharacteristic
660C13×C22⋊C4—21no—
661C13×C22⋊C4—21no—
662C13×C22⋊C4—21no—
663C13×C22⋊C4—21no—
664C22⋊Dic13—21no—
665C22⋊Dic13—21no—
666C22⋊Dic13—21no—
667C22⋊Dic13—21no—
668C22⋊Dic13—21no—
669C22⋊Dic13—21no—
670C22⋊Dic13—21no—
671C22⋊Dic13—21no—
672C22⋊Dic13—21no—
673C22⋊Dic13—21no—
674C22⋊Dic13—21no—
675C22⋊Dic13—21no—
676C22⋊Dic13—21no—
677C22⋊Dic13C2×D411yescharacteristic
678C22⋊Dic13C2×D411yescharacteristic
679C22⋊Dic13C2×D411yescharacteristic
680C22⋊Dic13C2×D411yescharacteristic
681#6106—22no—
682#6106—22no—
683#6106—41no—
684#6106—41no—
685#6105—41no—
686#6105—41no—
687#6104—22no—
688#6104—22no—
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—
707#6103C2×D411yescharacteristic
708#6103C2×D411yescharacteristic
709#6103C2×D411yescharacteristic
710#6103C2×D411yescharacteristic
711C4⋊Dic13—21no—
712C4⋊Dic13—21no—
713C4⋊Dic13—21no—
714C4⋊Dic13C2411yescharacteristic
715C4⋊Dic13C2411yescharacteristic
716C4⋊Dic13C2411yescharacteristic
717C4⋊Dic13C2411yescharacteristic
718#6101—21no—
719#6101—21no—
720#6101—21no—
721#6101—21no—
722#6101—21no—
723#6101—21no—
724#6101—21no—
725#6101—21no—
726#6101—21no—
727#6101—21no—
728#6101C2×D411yescharacteristic
729#6101C2×D411yescharacteristic
730#6101C2×D411yescharacteristic
731#6101C2×D411yescharacteristic
732C4×Dic13—21no—
733C4×Dic13—21no—
734C4×Dic13—21no—
735C4×Dic13C2×D411yescharacteristic
736C4×Dic13C2×D411yescharacteristic
737C4×Dic13C2411yescharacteristic
738C4×Dic13C2411yescharacteristic
739#6099—41no—
740#6099—41no—
741C2×#1055C2411yescharacteristic
742C2×#1055C2411yescharacteristic
743C2×#1055C2411yescharacteristic
744C2×#1055C2411yescharacteristic
745D104—41no—
746D104—41no—
747#6095—41no—
748#6095—41no—
749#6094—41no—
750#6094—41no—
751C8×D13—41no—
752C8×D13—41no—
753#3496—131no—
754D4×#41—131no—
755#3332—131no—
756#3330—131no—
757#3308—131no—
758#3308—131no—
759#3306—131no—
760#3306—131no—
761#3298—131no—
762#3294—131no—
763D4×SD16—131no—
764D4×D8—131no—
765#3274—131no—
766#3272—131no—
767#3265—131no—
768#3265—131no—
769#3264—131no—
770#3264—131no—
771#3214—131no—
772#3207—131no—
773#3194—131no—
774#3194—131no—
775#3188—131no—
776#3188—131no—
777#3115—131no—
778#3106—131no—
779#3006—131no—
780#3006—131no—
781C2×#449—131no—
782C2×#449D1311yescharacteristic, complemented
783#2974—131no—
784C23×C13—21no—
785C23×C13—22no—
786C23×C13—21no—
787C23×C13—21no—
788C23×C13—21no—
789C23×C13—41no—
790C23×C13—41no—
791C23×C13—42no—
792C23×C13—42no—
793C23×C13—42no—
794C23×C13—81no—
795C23×C13—81no—
796C23×C13—81no—
797C23×C13C22×D411yescharacteristic
798C23×C13C22×D411yescharacteristic
799C23×C13C22×D411yescharacteristic
800C22×D13—22no—
801C22×D13—21no—
802C22×D13—21no—
803C22×D13—21no—
804C22×D13—41no—
805C22×D13—41no—
806C22×D13—42no—
807C22×D13—42no—
808C22×D13—42no—
809C22×D13—42no—
810C22×D13—42no—
811C22×D13—81no—
812C22×D13—81no—
813C22×D13—81no—
814C22×D13—81no—
815C22×D13—81no—
816C22×D13—81no—
817C22×D13—81no—
818C22×D13C22×D411yescharacteristic
819C22×D13C22×D411yescharacteristic
820Q8×C13—21no—
821Q8×C13—21no—
822Q8×C13—21no—
823Q8×C13—42no—
824Q8×C13H(5,𝔽2)12yescomplemented
825D4×C13—24no—
826D4×C13—21no—
827D4×C13—21no—
828D4×C13—21no—
829D4×C13—21no—
830D4×C13—21no—
831D4×C13—21no—
832D4×C13—21no—
833D4×C13—42no—
834D4×C13—42no—
835D4×C13—42no—
836D4×C13—42no—
837D4×C13—42no—
838D4×C13—42no—
839D4×C13—42no—
840D4×C13—42no—
841D4×C13—81no—
842D4×C13H(5,𝔽2)12yescomplemented
843C2×C4×C13—24no—
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—21no—
852C2×C4×C13—21no—
853C2×C4×C13—21no—
854C2×C4×C13—41no—
855C2×C4×C13—41no—
856C2×C4×C13—41no—
857C2×C4×C13—42no—
858C2×C4×C13—42no—
859C2×C4×C13—42no—
860C2×C4×C13—42no—
861C2×C4×C13—42no—
862C2×C4×C13C22×D411yescharacteristic
863C2×C4×C13C22×D411yescharacteristic
864C2×C4×C13C22×D411yescharacteristic
865C2×C4×C13C2511yescharacteristic
866C22⋊D13—22no—
867C22⋊D13—22no—
868C22⋊D13—22no—
869C22⋊D13—42no—
870C22⋊D13—42no—
871C22⋊D13—42no—
872C22⋊D13—42no—
873C22⋊D13—42no—
874C22⋊D13—42no—
875C22⋊D13—42no—
876C22⋊D13—42no—
877C22⋊D13—42no—
878C22⋊D13—42no—
879C22⋊D13—42no—
880C22⋊D13—42no—
881C22⋊D13—42no—
882C22⋊D13—42no—
883C22⋊D13—81no—
884C22⋊D13—81no—
885C22⋊D13—81no—
886C22⋊D13—81no—
887C22⋊D13—81no—
888C22⋊D13—81no—
889C22⋊D13—81no—
890C22⋊D13AGL(1,ℤ/8)14yescomplemented
891C2×Dic13—22no—
892C2×Dic13—21no—
893C2×Dic13—21no—
894C2×Dic13—21no—
895C2×Dic13—21no—
896C2×Dic13—21no—
897C2×Dic13—41no—
898C2×Dic13—41no—
899C2×Dic13—42no—
900C2×Dic13—42no—
901C2×Dic13—42no—
902C2×Dic13—42no—
903C2×Dic13—42no—
904C2×Dic13—81no—
905C2×Dic13C22×D411yescharacteristic
906C2×Dic13C22×D411yescharacteristic
907C2×Dic13C22×D411yescharacteristic
908C2×Dic13C22×D411yescharacteristic
909C2×Dic13C22×D411yescharacteristic
910C2×Dic13C22×D411yescharacteristic
911D52—21no—
912D52—21no—
913D52—21no—
914D52—21no—
915D52—21no—
916D52—21no—
917D52—42no—
918D52—42no—
919D52—42no—
920D52—81no—
921C4×D13—21no—
922C4×D13—21no—
923C4×D13—21no—
924C4×D13—21no—
925C4×D13—41no—
926C4×D13—41no—
927C4×D13—42no—
928C4×D13—42no—
929C4×D13—42no—
930C4×D13—42no—
931C4×D13—42no—
932C4×D13—42no—
933C4×D13—42no—
934Dic26—21no—
935Dic26—21no—
936Dic26—42no—
937Dic26—42no—
938Dic26—42no—
939C8×C13—21no—
940C8×C13—21no—
941C8×C13—21no—
942C8×C13—21no—
943#1055—21no—
944#1055—21no—
945#1055—21no—
946#1055—21no—
947C2×H(5,𝔽2)—261no—
948C22×#41—131no—
949C22×#41C2×D1311yescharacteristic, complemented
950C2×AGL(1,ℤ/8)—131no—
951C2×AGL(1,ℤ/8)—131no—
952C2×AGL(1,ℤ/8)—131no—
953C2×AGL(1,ℤ/8)—131no—
954C22×SD16—131no—
955C22×SD16C2×D1311yescharacteristic, complemented
956C22×D8—131no—
957C22×D8C2×D1311yescharacteristic, complemented
958#550—131no—
959D4×Q8—131no—
960#548—131no—
961#548—131no—
962#547—131no—
963#547—131no—
964#547—131no—
965#547—131no—
966#547—131no—
967#547—261no—
968#546—131no—
969#546—131no—
970#546—261no—
971#546—261no—
972#546—261no—
973#546—261no—
974#546—261no—
975#546—261no—
976D42—131no—
977D42—131no—
978D42—131no—
979D42—131no—
980D42—131no—
981D42—261no—
982#537—261no—
983#534—261no—
984#534—261no—
985#532—131no—
986#532—131no—
987#532—131no—
988#532—261no—
989#525—131no—
990#525—131no—
991#525—261no—
992#525—261no—
993C2×#121—131no—
994C2×#121—131no—
995C2×#121—131no—
996C2×#121C2×D1311yescharacteristic, complemented
997C4×#41—131no—
998C2×C4×D4—131no—
999C2×C4×D4—261no—
1000#496—131no—
1001#496—131no—
1002#493—131no—
1003#492—131no—
1004#489—131no—
1005#489—131no—
1006#487—131no—
1007#486—131no—
1008#484—131no—
1009#484—131no—
1010#483—131no—
1011#483—131no—
1012#482—131no—
1013#482—131no—
1014#482—131no—
1015#482—131no—
1016#481—131no—
1017#481—131no—
1018#480—131no—
1019#480—131no—
1020#477—131no—
1021#476—131no—
1022#475—131no—
1023#474—131no—
1024#469—131no—
1025#469—131no—
1026#469—131no—
1027#469—131no—
1028#468—131no—
1029#468—131no—
1030#468—131no—
1031#468—131no—
1032#466—131no—
1033#466—131no—
1034#466—131no—
1035#466—131no—
1036#465—131no—
1037#465—131no—
1038#465—131no—
1039#465—131no—
1040#463—131no—
1041#463—131no—
1042#463—131no—
1043#463—131no—
1044#461—131no—
1045#461—131no—
1046#460—131no—
1047#460—131no—
1048#459—131no—
1049#459—131no—
1050#459—131no—
1051#459—131no—
1052#450—131no—
1053#450—131no—
1054#450—131no—
1055#450—131no—
1056#449—131no—
1057#449—131no—
1058#449—131no—
1059#449—131no—
1060#449—131no—
1061#449—131no—
1062#449—131no—
1063#449—131no—
1064#449—131no—
1065#449—131no—
1066#449—131no—
1067#449—131no—
1068#449C2×D1311yescharacteristic, complemented
1069#449C2×D1311yescharacteristic, complemented
1070#449C2×D1311yescharacteristic, complemented
1071#449C2×D1311yescharacteristic, complemented
1072#449C2×D1311yescharacteristic, complemented
1073#449C2×D1311yescharacteristic, complemented
1074#449C2×D1311yescharacteristic, complemented
1075#449C2×D1311yescharacteristic, complemented
1076#448—131no—
1077#448—131no—
1078#448—131no—
1079#448—131no—
1080#447—131no—
1081#447—131no—
1082#447—131no—
1083#447—131no—
1084#447—131no—
1085#447—131no—
1086#447—131no—
1087#447—131no—
1088#442—131no—
1089#442—131no—
1090#440—131no—
1091#440—131no—
1092C4×SD16—131no—
1093C4×SD16—131no—
1094C4×D8—131no—
1095C4×D8—131no—
1096#436—131no—
1097#436—131no—
1098#435—131no—
1099#435—131no—
1100#435—131no—
1101#435—131no—
1102C8×D4—131no—
1103C8×D4—131no—
1104#432—131no—
1105#431—131no—
1106#417—131no—
1107#417—131no—
1108#417—131no—
1109#417—131no—
1110C2×#103—131no—
1111C2×#103C2×D1311yescharacteristic, complemented
1112C2×#102—131no—
1113C2×#102C2×D1311yescharacteristic, complemented
1114#407—131no—
1115#407—131no—
1116C2×C22⋊C8—131no—
1117C2×C22⋊C8C2×D1311yescharacteristic, complemented
1118C22×C13—21no—
1119C22×C13—21no—
1120C22×C13—21no—
1121C22×C13—21no—
1122C22×C13—21no—
1123C22×C13—22no—
1124C22×C13—21no—
1125C22×C13—21no—
1126C22×C13—21no—
1127C22×C13—41no—
1128C22×C13—41no—
1129C22×C13—41no—
1130C22×C13—41no—
1131C22×C13—41no—
1132C22×C13—41no—
1133C22×C13—41no—
1134C22×C13—41no—
1135C22×C13—41no—
1136C22×C13—41no—
1137C22×C13—41no—
1138C22×C13—82no—
1139C22×C13—84no—
1140C22×C13—162no—
1141C22×C13C2×AGL(1,ℤ/8)12yes—
1142C22×C13C23×D411yescharacteristic
1143C2×D13—21no—
1144C2×D13—21no—
1145C2×D13—21no—
1146C2×D13—21no—
1147C2×D13—21no—
1148C2×D13—41no—
1149C2×D13—41no—
1150C2×D13—41no—
1151C2×D13—41no—
1152C2×D13—41no—
1153C2×D13—41no—
1154C2×D13—41no—
1155C2×D13—41no—
1156C2×D13—41no—
1157C2×D13—82no—
1158C2×D13—84no—
1159C2×D13—162no—
1160C2×D13—162no—
1161C2×D13—162no—
1162C2×D13C2×AGL(1,ℤ/8)12yes—
1163C4×C13—22no—
1164C4×C13—21no—
1165C4×C13—21no—
1166C4×C13—21no—
1167C4×C13—41no—
1168C4×C13—41no—
1169C4×C13—41no—
1170C4×C13C2×H(5,𝔽2)11yescharacteristic
1171C4×C13C2×H(5,𝔽2)11yescharacteristic
1172Dic13—21no—
1173Dic13—21no—
1174Dic13—21no—
1175Dic13—21no—
1176Dic13—21no—
1177Dic13—41no—
1178Dic13—41no—
1179Dic13—41no—
1180Dic13—41no—
1181Dic13—41no—
1182Dic13C2×AGL(1,ℤ/8)12yes—
1183H(5,𝔽2)—528no—
1184C2×#41—21no—
1185C2×#41—21no—
1186C2×#41—42no—
1187C2×#41—42no—
1188C2×#41—131no—
1189C2×#41—131no—
1190C2×#41—131no—
1191C2×#41—261no—
1192C2×#41—261no—
1193C2×#41—261no—
1194C2×#41—261no—
1195C2×#41—261no—
1196C2×#41—261no—
1197C2×#41—261no—
1198C2×#41—261no—
1199C2×#41—522no—
1200C2×#41—522no—
1201C2×#41C22×D1311yescharacteristic
1202C2×#41C22×D1311yescharacteristic
1203C2×#41C22×D1311yescharacteristic
1204C2×#41C22×D1311yescharacteristic
1205C22×Q8—131no—
1206C22×Q8C22×D1311yescharacteristic
1207C22×D4—21no—
1208C22×D4—21no—
1209C22×D4—131no—
1210C22×D4—131no—
1211C22×D4—131no—
1212C22×D4—131no—
1213C22×D4—131no—
1214C22×D4—261no—
1215C22×D4—261no—
1216C22×D4—261no—
1217C22×D4—261no—
1218C22×D4—261no—
1219C22×D4—261no—
1220C22×D4—261no—
1221C22×D4—261no—
1222C22×D4—261no—
1223C22×D4C22×D1311yescharacteristic
1224C22×D4C22×D1311yescharacteristic
1225C23×C4—21no—
1226C23×C4—131no—
1227C23×C4—261no—
1228C23×C4C22×D1311yescharacteristic
1229AGL(1,ℤ/8)—522no—
1230AGL(1,ℤ/8)—522no—
1231AGL(1,ℤ/8)—522no—
1232AGL(1,ℤ/8)—522no—
1233C2×SD16—42no—
1234C2×SD16—131no—
1235C2×SD16—131no—
1236C2×SD16—131no—
1237C2×SD16—131no—
1238C2×SD16—131no—
1239C2×SD16—131no—
1240C2×SD16—131no—
1241C2×SD16—131no—
1242C2×SD16—522no—
1243C2×SD16C22×D1311yescharacteristic
1244C2×SD16C22×D1311yescharacteristic
1245C2×SD16C22×D1311yescharacteristic
1246C2×SD16C22×D1311yescharacteristic
1247C2×D8—42no—
1248C2×D8—131no—
1249C2×D8—131no—
1250C2×D8—131no—
1251C2×D8—131no—
1252C2×D8—131no—
1253C2×D8—131no—
1254C2×D8—131no—
1255C2×D8—131no—
1256C2×D8—522no—
1257C2×D8C22×D1311yescharacteristic
1258C2×D8C22×D1311yescharacteristic
1259C2×D8C22×D1311yescharacteristic
1260C2×D8C22×D1311yescharacteristic
1261C2×M16—131no—
1262C2×M16—131no—
1263C2×M16—131no—
1264C2×M16—131no—
1265C22×C8—131no—
1266C22×C8—131no—
1267C22×C8C22×D1311yescharacteristic
1268C22×C8C22×D1311yescharacteristic
1269C4⋊Q8—131no—
1270C4⋊Q8—131no—
1271C4⋊Q8—131no—
1272C4⋊Q8—261no—
1273#127—131no—
1274#127—131no—
1275#127—131no—
1276#127—261no—
1277#124—131no—
1278#124—131no—
1279#124—261no—
1280#124—261no—
1281#124—261no—
1282#124—261no—
1283#123—261no—
1284#123—261no—
1285#123—261no—
1286#123—261no—
1287#123—261no—
1288#123—261no—
1289#123—261no—
1290#123—261no—
1291#123—261no—
1292#123—261no—
1293#123—261no—
1294#123—261no—
1295#123—261no—
1296#123—261no—
1297C22⋊Q8—131no—
1298C22⋊Q8—131no—
1299C22⋊Q8—131no—
1300C22⋊Q8—131no—
1301C22⋊Q8—261no—
1302C22⋊Q8—261no—
1303C22⋊Q8—261no—
1304C22⋊Q8—261no—
1305C22⋊Q8—261no—
1306C22⋊Q8—261no—
1307C22⋊Q8—261no—
1308C22⋊Q8—261no—
1309#121—21no—
1310#121—21no—
1311#121—131no—
1312#121—131no—
1313#121—131no—
1314#121—131no—
1315#121—131no—
1316#121—131no—
1317#121—131no—
1318#121—131no—
1319#121—131no—
1320#121—131no—
1321#121—131no—
1322#121—131no—
1323#121—261no—
1324#121—261no—
1325#121—261no—
1326#121—261no—
1327#121—261no—
1328#121—261no—
1329#121—261no—
1330#121—261no—
1331#121—261no—
1332#121—261no—
1333#121—261no—
1334#121—261no—
1335#121—261no—
1336#121—261no—
1337#121—261no—
1338#121—261no—
1339#121—261no—
1340#121—261no—
1341#121—261no—
1342#121—261no—
1343#121—261no—
1344#121—261no—
1345#121C22×D1311yescharacteristic
1346#121C22×D1311yescharacteristic
1347#121C22×D1311yescharacteristic
1348#121C22×D1311yescharacteristic
1349#120—261no—
1350#120—261no—
1351#120—261no—
1352#120—261no—
1353#120—261no—
1354#120—261no—
1355#120—261no—
1356#120—261no—
1357#120—261no—
1358#120—261no—
1359#120—261no—
1360#120—261no—
1361#120—261no—
1362#120—261no—
1363C4×Q8—131no—
1364C4×Q8—131no—
1365C4×D4—131no—
1366C4×D4—131no—
1367C4×D4—131no—
1368C4×D4—131no—
1369C4×D4—131no—
1370C4×D4—131no—
1371C4×D4—131no—
1372C4×D4—131no—
1373C4×D4—131no—
1374C4×D4—131no—
1375C4×D4—131no—
1376C4×D4—131no—
1377C4×D4—131no—
1378C4×D4—131no—
1379C4×D4—261no—
1380C4×D4—261no—
1381C4×D4—261no—
1382C4×D4—261no—
1383C4×D4—261no—
1384C4×D4—261no—
1385C4×D4—261no—
1386C4×D4—261no—
1387C4×D4—261no—
1388C4×D4—261no—
1389C4×D4—261no—
1390C4×D4—261no—
1391C4×D4—261no—
1392C4×D4—261no—
1393#117—131no—
1394#117—261no—
1395C2×C4⋊C4—131no—
1396C2×C4⋊C4—131no—
1397C2×C4⋊C4—131no—
1398C2×C4⋊C4—131no—
1399C2×C4⋊C4—261no—
1400C2×C4⋊C4C22×D1311yescharacteristic
1401C2×C22⋊C4—21no—
1402C2×C22⋊C4—131no—
1403C2×C22⋊C4—131no—
1404C2×C22⋊C4—261no—
1405C2×C22⋊C4—261no—
1406C2×C22⋊C4—261no—
1407C2×C22⋊C4—261no—
1408C2×C22⋊C4—261no—
1409C2×C42—131no—
1410C2×C42—261no—
1411#107—131no—
1412#107—131no—
1413#107—131no—
1414#107—131no—
1415#106—131no—
1416#106—131no—
1417#106—131no—
1418#106—131no—
1419C4⋊C8—131no—
1420C4⋊C8—131no—
1421C4⋊C8—131no—
1422C4⋊C8—131no—
1423#103—131no—
1424#103—131no—
1425#103—131no—
1426#103—131no—
1427#103—131no—
1428#103—131no—
1429#103—131no—
1430#103—131no—
1431#103C22×D1311yescharacteristic
1432#103C22×D1311yescharacteristic
1433#103C22×D1311yescharacteristic
1434#103C22×D1311yescharacteristic
1435#102—131no—
1436#102—131no—
1437#102—131no—
1438#102—131no—
1439#102—131no—
1440#102—131no—
1441#102—131no—
1442#102—131no—
1443#102—131no—
1444#102—131no—
1445#102—131no—
1446#102—131no—
1447#102—131no—
1448#102—131no—
1449#102—131no—
1450#102—131no—
1451#102C22×D1311yescharacteristic
1452#102C22×D1311yescharacteristic
1453#102C22×D1311yescharacteristic
1454#102C22×D1311yescharacteristic
1455C22⋊C8—131no—
1456C22⋊C8—131no—
1457C22⋊C8—131no—
1458C22⋊C8—131no—
1459C22⋊C8—131no—
1460C22⋊C8—131no—
1461C22⋊C8—131no—
1462C22⋊C8—131no—
1463C22⋊C8C22×D1311yescharacteristic
1464C22⋊C8C22×D1311yescharacteristic
1465C22⋊C8C22×D1311yescharacteristic
1466C22⋊C8C22×D1311yescharacteristic
1467#97—131no—
1468#97—131no—
1469C4×C8—131no—
1470C4×C8—131no—
1471C2×C13—22no—
1472C2×C13—41no—
1473C2×C13—42no—
1474C2×C13—41no—
1475C2×C13—81no—
1476C2×C13—81no—
1477C2×C13—81no—
1478C2×C13#348411yescharacteristic
1479C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
1480C2×C13#358411yescharacteristic
1481D13—22no—
1482D13—41no—
1483D13—81no—
1484D13—81no—
1485D13—81no—
1486C24—21no—
1487C24—21no—
1488C24—131no—
1489C24—261no—
1490C24—261no—
1491C24—261no—
1492C24—261no—
1493C24D4×D1311yescharacteristic
1494#41—22no—
1495#41—22no—
1496#41—22no—
1497#41—22no—
1498#41—41no—
1499#41—41no—
1500#41—41no—
1501#41—41no—
1502#41—44no—
1503#41—44no—
1504#41—262no—
1505#41—262no—
1506#41—521no—
1507#41—521no—
1508#41—524no—
1509#41—524no—
1510#41—524no—
1511#41—521no—
1512#41—524no—
1513#41—524no—
1514#41—521no—
1515#41—524no—
1516#41—524no—
1517#41—524no—
1518C2×Q8—21no—
1519C2×Q8—22no—
1520C2×Q8—41no—
1521C2×Q8—131no—
1522C2×Q8—261no—
1523C2×Q8—261no—
1524C2×Q8—261no—
1525C2×Q8—262no—
1526C2×Q8—521no—
1527C2×Q8C23×D1311yescharacteristic
1528C2×Q8C23×D1311yescharacteristic
1529C2×D4—21no—
1530C2×D4—22no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—41no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—44no—
1544C2×D4—44no—
1545C2×D4—131no—
1546C2×D4—131no—
1547C2×D4—131no—
1548C2×D4—131no—
1549C2×D4—131no—
1550C2×D4—131no—
1551C2×D4—131no—
1552C2×D4—261no—
1553C2×D4—261no—
1554C2×D4—261no—
1555C2×D4—261no—
1556C2×D4—261no—
1557C2×D4—261no—
1558C2×D4—261no—
1559C2×D4—261no—
1560C2×D4—261no—
1561C2×D4—261no—
1562C2×D4—261no—
1563C2×D4—261no—
1564C2×D4—264no—
1565C2×D4—262no—
1566C2×D4—261no—
1567C2×D4—261no—
1568C2×D4—261no—
1569C2×D4—261no—
1570C2×D4—261no—
1571C2×D4—261no—
1572C2×D4—261no—
1573C2×D4—261no—
1574C2×D4—261no—
1575C2×D4—261no—
1576C2×D4—261no—
1577C2×D4—261no—
1578C2×D4—261no—
1579C2×D4—521no—
1580C2×D4—521no—
1581C2×D4—521no—
1582C2×D4—521no—
1583C2×D4—521no—
1584C2×D4—521no—
1585C2×D4—521no—
1586C2×D4—524no—
1587C2×D4—524no—
1588C2×D4—524no—
1589C2×D4—524no—
1590C2×D4—524no—
1591C2×D4—524no—
1592C2×D4—524no—
1593C2×D4—524no—
1594C2×D4—524no—
1595C2×D4C23×D1311yescharacteristic
1596C2×D4C23×D1311yescharacteristic
1597C2×D4C23×D1311yescharacteristic
1598C2×D4C23×D1311yescharacteristic
1599C22×C4—21no—
1600C22×C4—21no—
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—41no—
1606C22×C4—41no—
1607C22×C4—44no—
1608C22×C4—131no—
1609C22×C4—131no—
1610C22×C4—131no—
1611C22×C4—131no—
1612C22×C4—131no—
1613C22×C4—131no—
1614C22×C4—131no—
1615C22×C4—261no—
1616C22×C4—261no—
1617C22×C4—261no—
1618C22×C4—261no—
1619C22×C4—261no—
1620C22×C4—261no—
1621C22×C4—261no—
1622C22×C4—261no—
1623C22×C4—261no—
1624C22×C4—261no—
1625C22×C4—261no—
1626C22×C4—261no—
1627C22×C4—261no—
1628C22×C4—521no—
1629C22×C4—521no—
1630C22×C4—524no—
1631C22×C4D4×D1311yescharacteristic
1632C22×C4D4×D1311yescharacteristic
1633C22×C4D4×D1311yescharacteristic
1634C22×C4C23×D1311yescharacteristic
1635C22×C4C23×D1311yescharacteristic
1636C22×C4C23×D1311yescharacteristic
1637SD16—22no—
1638SD16—22no—
1639SD16—41no—
1640SD16—41no—
1641SD16—262no—
1642SD16—262no—
1643SD16—521no—
1644SD16—521no—
1645SD16—521no—
1646SD16—521no—
1647SD16—521no—
1648SD16—521no—
1649D8—22no—
1650D8—22no—
1651D8—41no—
1652D8—41no—
1653D8—262no—
1654D8—262no—
1655D8—521no—
1656D8—521no—
1657D8—521no—
1658D8—521no—
1659D8—521no—
1660D8—521no—
1661M16—521no—
1662M16—521no—
1663M16—521no—
1664M16—521no—
1665C2×C8—41no—
1666C2×C8—41no—
1667C2×C8—131no—
1668C2×C8—131no—
1669C2×C8—131no—
1670C2×C8—131no—
1671C2×C8—521no—
1672C2×C8—521no—
1673C2×C8C23×D1311yescharacteristic
1674C2×C8C23×D1311yescharacteristic
1675C2×C8C23×D1311yescharacteristic
1676C2×C8C23×D1311yescharacteristic
1677C4⋊C4—21no—
1678C4⋊C4—131no—
1679C4⋊C4—131no—
1680C4⋊C4—131no—
1681C4⋊C4—131no—
1682C4⋊C4—131no—
1683C4⋊C4—131no—
1684C4⋊C4—131no—
1685C4⋊C4—131no—
1686C4⋊C4—261no—
1687C4⋊C4—261no—
1688C4⋊C4—261no—
1689C4⋊C4—261no—
1690C4⋊C4—261no—
1691C4⋊C4—261no—
1692C4⋊C4—261no—
1693C4⋊C4—261no—
1694C4⋊C4—261no—
1695C4⋊C4—261no—
1696C4⋊C4—261no—
1697C4⋊C4—261no—
1698C4⋊C4—261no—
1699C4⋊C4C23×D1311yescharacteristic
1700C4⋊C4C23×D1311yescharacteristic
1701C22⋊C4—21no—
1702C22⋊C4—21no—
1703C22⋊C4—21no—
1704C22⋊C4—21no—
1705C22⋊C4—131no—
1706C22⋊C4—131no—
1707C22⋊C4—131no—
1708C22⋊C4—131no—
1709C22⋊C4—131no—
1710C22⋊C4—131no—
1711C22⋊C4—131no—
1712C22⋊C4—131no—
1713C22⋊C4—261no—
1714C22⋊C4—261no—
1715C22⋊C4—261no—
1716C22⋊C4—261no—
1717C22⋊C4—261no—
1718C22⋊C4—261no—
1719C22⋊C4—261no—
1720C22⋊C4—261no—
1721C22⋊C4—261no—
1722C22⋊C4—261no—
1723C22⋊C4—261no—
1724C22⋊C4—261no—
1725C22⋊C4—261no—
1726C22⋊C4—261no—
1727C22⋊C4—261no—
1728C22⋊C4—261no—
1729C22⋊C4—261no—
1730C22⋊C4—261no—
1731C22⋊C4—261no—
1732C22⋊C4—261no—
1733C22⋊C4—261no—
1734C22⋊C4—261no—
1735C22⋊C4—261no—
1736C22⋊C4—261no—
1737C22⋊C4—261no—
1738C22⋊C4—261no—
1739C22⋊C4—261no—
1740C42—131no—
1741C42—131no—
1742C42—131no—
1743C42—131no—
1744C42—261no—
1745C42—261no—
1746C42—261no—
1747C13#6159811yescharacteristic, complemented, Sylow
1748C23—21no—
1749C23—22no—
1750C23—21no—
1751C23—21no—
1752C23—21no—
1753C23—41no—
1754C23—41no—
1755C23—42no—
1756C23—42no—
1757C23—42no—
1758C23—81no—
1759C23—81no—
1760C23—81no—
1761C23—131no—
1762C23—131no—
1763C23—262no—
1764C23—261no—
1765C23—261no—
1766C23—261no—
1767C23—521no—
1768C23—521no—
1769C23—522no—
1770C23—522no—
1771C23—522no—
1772C23—522no—
1773C23—522no—
1774C23—1041no—
1775C23—1041no—
1776C23—1041no—
1777C23—1041no—
1778C23—1041no—
1779C23—1041no—
1780C23—1041no—
1781C23C2×D4×D1311yescharacteristic
1782C23C2×D4×D1311yescharacteristic
1783C23C2×D4×D1311yescharacteristic
1784Q8—21no—
1785Q8—21no—
1786Q8—21no—
1787Q8—42no—
1788Q8—261no—
1789Q8—261no—
1790Q8—522no—
1791Q8—522no—
1792Q8—522no—
1793Q8#8825112yescomplemented
1794D4—24no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—21no—
1800D4—21no—
1801D4—21no—
1802D4—42no—
1803D4—42no—
1804D4—42no—
1805D4—42no—
1806D4—42no—
1807D4—42no—
1808D4—42no—
1809D4—42no—
1810D4—81no—
1811D4—134no—
1812D4—262no—
1813D4—262no—
1814D4—262no—
1815D4—261no—
1816D4—261no—
1817D4—261no—
1818D4—261no—
1819D4—261no—
1820D4—261no—
1821D4—522no—
1822D4—522no—
1823D4—522no—
1824D4—522no—
1825D4—522no—
1826D4—522no—
1827D4—522no—
1828D4—522no—
1829D4—522no—
1830D4—522no—
1831D4—522no—
1832D4—522no—
1833D4—522no—
1834D4—522no—
1835D4—522no—
1836D4—522no—
1837D4—522no—
1838D4—1041no—
1839D4—1041no—
1840D4—1041no—
1841D4—1041no—
1842D4—1041no—
1843D4—1041no—
1844D4—1041no—
1845D4—1041no—
1846D4#8825112yescomplemented
1847C2×C4—24no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—41no—
1859C2×C4—41no—
1860C2×C4—41no—
1861C2×C4—42no—
1862C2×C4—42no—
1863C2×C4—42no—
1864C2×C4—42no—
1865C2×C4—42no—
1866C2×C4—131no—
1867C2×C4—131no—
1868C2×C4—131no—
1869C2×C4—131no—
1870C2×C4—131no—
1871C2×C4—131no—
1872C2×C4—262no—
1873C2×C4—261no—
1874C2×C4—261no—
1875C2×C4—261no—
1876C2×C4—261no—
1877C2×C4—261no—
1878C2×C4—261no—
1879C2×C4—261no—
1880C2×C4—261no—
1881C2×C4—261no—
1882C2×C4—521no—
1883C2×C4—521no—
1884C2×C4—522no—
1885C2×C4—522no—
1886C2×C4—522no—
1887C2×C4—522no—
1888C2×C4—522no—
1889C2×C4—522no—
1890C2×C4—522no—
1891C2×C4—522no—
1892C2×C4—522no—
1893C2×C4—521no—
1894C2×C4—521no—
1895C2×C4—522no—
1896C2×C4—522no—
1897C2×C4—522no—
1898C2×C4—1041no—
1899C2×C4C2×D4×D1311yescharacteristic
1900C2×C4C2×D4×D1311yescharacteristic
1901C2×C4C2×D4×D1311yescharacteristic
1902C2×C4C24×D1311yescharacteristic
1903C8—21no—
1904C8—21no—
1905C8—21no—
1906C8—21no—
1907C8—261no—
1908C8—261no—
1909C8—261no—
1910C8—261no—
1911C22—21no—
1912C22—21no—
1913C22—21no—
1914C22—22no—
1915C22—21no—
1916C22—21no—
1917C22—21no—
1918C22—21no—
1919C22—21no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—82no—
1932C22—84no—
1933C22—132no—
1934C22—162no—
1935C22—261no—
1936C22—261no—
1937C22—261no—
1938C22—261no—
1939C22—261no—
1940C22—521no—
1941C22—521no—
1942C22—521no—
1943C22—521no—
1944C22—521no—
1945C22—521no—
1946C22—521no—
1947C22—521no—
1948C22—521no—
1949C22—1042no—
1950C22—1044no—
1951C22—2082no—
1952C22—2082no—
1953C22—2082no—
1954C22D13×AGL(1,ℤ/8)12yes—
1955C22C22×D4×D1311yescharacteristic
1956C4—21no—
1957C4—22no—
1958C4—21no—
1959C4—21no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—132no—
1964C4—261no—
1965C4—261no—
1966C4—261no—
1967C4—261no—
1968C4—261no—
1969C4—521no—
1970C4—521no—
1971C4—521no—
1972C4—521no—
1973C4—521no—
1974C4C2×#8825111yescharacteristic
1975C4C2×#8825111yescharacteristic
1976C2—22no—
1977C2—41no—
1978C2—41no—
1979C2—42no—
1980C2—81no—
1981C2—81no—
1982C2—81no—
1983C2—262no—
1984C2—521no—
1985C2—1041no—
1986C2—1041no—
1987C2—1041no—
1988C2#1312846511yescharacteristic
1989C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
1990C2#1312960511yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#449C2
socleC22×C13C23×D4
hypercenterC2×#449D13
hypocenterC13#61598
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#449

Complements

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

NH ≅ G/Ntype
1. #13128593C2semidirect
2. #41×C22⋊D13C2semidirect
3. #13127156C2semidirect
4. #13127134C2semidirect
5. #13126823C2semidirect
6. #13126820C2semidirect
7. #13126793C2semidirect
8. #13126790C2semidirect
9. #13126697C2semidirect
10. #13126645C2semidirect
11. SD16×C22⋊D13C2semidirect
12. D8×C22⋊D13C2semidirect
13. #13126449C2semidirect
14. #13126429C2semidirect
15. #13126334C2semidirect
16. #13126331C2semidirect
17. #13126319C2semidirect
18. #13126316C2semidirect
19. #13125828C2semidirect
20. #13125767C2semidirect
21. #13125650C2semidirect
22. #13125648C2semidirect
23. #13125603C2semidirect
24. #13125599C2semidirect
25. #13124980C2semidirect
26. #13124889C2semidirect
27. #13124088C2semidirect
28. #13124085C2semidirect
29. D13×#449C2semidirect
30. #13123867C2semidirect
31. C2×C13×#449C2semidirect
32. C22×C13×#41C22semidirect
33. C2×#41×D13C22semidirect
35. C22×C13×SD16C22semidirect
36. C22×C13×D8C22semidirect
37. C2×C13×#121C22semidirect
38. #11719539C22semidirect
40. #11719537C22semidirect
41. #11719536C22semidirect
43. #11719534C22semidirect
45. #11719533C22semidirect
46. #41×Dic13C22semidirect
48. #11719529C22semidirect
49. C2×#88203C22semidirect
50. C2×#88203C22semidirect
51. #11719522C22semidirect
52. Q8×C22⋊D13C22semidirect
54. #11719511C22semidirect
58. D4×C22⋊D13C22semidirect
59. D4×C22⋊D13C22semidirect
61. #11719496C22semidirect
62. C2×#88184C22semidirect
65. C2×#88168C22semidirect
66. C2×SD16×D13C22semidirect
67. C2×#88165C22semidirect
68. C2×D8×D13C22semidirect
69. #11719316C22semidirect
70. #11719316C22semidirect
73. #11719314C22semidirect
74. #11719314C22semidirect
76. D13×#121C22semidirect
77. D13×#121C22semidirect
79. #11719301C22semidirect
80. #11719301C22semidirect
82. #11719212C22semidirect
85. C13×#449C22semidirect
86. C13×#449C22semidirect
87. C13×#449C22semidirect
88. C13×#449C22semidirect
89. C13×#449C22semidirect
90. C13×#449C22semidirect
91. C13×#449C22semidirect
92. C13×#449C22semidirect
93. C2×C13×#103C22semidirect
94. C2×C13×#102C22semidirect
95. C2×C13×C22⋊C8C22semidirect
96. #11718899C22semidirect
97. #11718899C22semidirect
98. #11718899C22semidirect
99. #11718899C22semidirect
100. #11718893C22semidirect
101. #11718893C22semidirect
102. #11718888C22semidirect
103. #11718888C22semidirect
104. #11718879C22semidirect
105. #11718878C22semidirect
106. #11718878C22semidirect
107. #11718878C22semidirect
108. #11718868C22semidirect
109. #11718837C22semidirect
110. #11718836C22semidirect
111. #11718835C22semidirect
112. #11718833C22semidirect
113. #11718832C22semidirect
114. #11718831C22semidirect
115. #11718830C22semidirect
116. #11718830C22semidirect
117. #11718826C22semidirect
118. #11718825C22semidirect
119. #11718824C22semidirect
120. #11718824C22semidirect
121. #11718823C22semidirect
122. SD16×Dic13C22semidirect
123. #11718820C22semidirect
124. #11718819C22semidirect
125. #11718818C22semidirect
126. #11718817C22semidirect
127. #11718817C22semidirect
128. #11718817C22semidirect
129. #11718815C22semidirect
130. #11718814C22semidirect
131. #11718813C22semidirect
132. #11718812C22semidirect
133. #11718811C22semidirect
134. #11718811C22semidirect
135. #11718811C22semidirect
136. D8×Dic13C22semidirect
137. #11718776C22semidirect
138. #11718776C22semidirect
139. #11718775C22semidirect
140. #11718775C22semidirect
141. #11718772C22semidirect
142. #11718772C22semidirect
143. C8×C22⋊D13C22semidirect
144. C8×C22⋊D13C22semidirect
145. #11718703C22semidirect
146. #11718703C22semidirect
147. #11718700C22semidirect
148. #11718700C22semidirect
149. #11718698C22semidirect
150. #11718698C22semidirect
151. #11718696C22semidirect
152. #11718696C22semidirect
153. #11718632C22semidirect
154. #11718628C22semidirect
155. #11718480C22semidirect
156. #11718479C22semidirect
157. #11718478C22semidirect
158. #11718473C22semidirect
159. #11718472C22semidirect
160. #11718470C22semidirect
161. #11718468C22semidirect
162. #11718467C22semidirect
163. #11718466C22semidirect
164. #11718464C22semidirect
165. D13×#103C22semidirect
166. #11718456C22semidirect
167. #11718455C22semidirect
168. #11718453C22semidirect
169. #11718452C22semidirect
170. #11718449C22semidirect
171. #11718448C22semidirect
172. #11718447C22semidirect
173. #11718446C22semidirect
174. #11718443C22semidirect
175. #11718442C22semidirect
176. #11718438C22semidirect
177. #11718436C22semidirect
178. #11718435C22semidirect
179. #11718434C22semidirect
180. #11718432C22semidirect
181. D13×#102C22semidirect
182. #11718426C22semidirect
183. #11718422C22semidirect
184. #11718421C22semidirect
185. #11718420C22semidirect
186. #11718417C22semidirect
187. #11718398C22semidirect
188. #11718398C22semidirect
189. #11718396C22semidirect
190. #11718395C22semidirect
191. #11718395C22semidirect
192. #11718393C22semidirect
193. #11718392C22semidirect
194. #11718390C22semidirect
195. #11718390C22semidirect
196. #11718389C22semidirect
197. #11718389C22semidirect
198. #11718387C22semidirect
199. D13×C22⋊C8C22semidirect
200. #11718383C22semidirect
201. #11718380C22semidirect
202. #11718379C22semidirect
782. C2×#449D13semidirect
824. Q8×C13H(5,𝔽2)semidirect
842. D4×C13H(5,𝔽2)semidirect
890. C22⋊D13AGL(1,ℤ/8)semidirect
949. C22×#41C2×D13semidirect
955. C22×SD16C2×D13semidirect
957. C22×D8C2×D13semidirect
996. C2×#121C2×D13semidirect
1068. #449C2×D13semidirect
1069. #449C2×D13semidirect
1070. #449C2×D13semidirect
1071. #449C2×D13semidirect
1072. #449C2×D13semidirect
1073. #449C2×D13semidirect
1074. #449C2×D13semidirect
1075. #449C2×D13semidirect
1111. C2×#103C2×D13semidirect
1113. C2×#102C2×D13semidirect
1117. C2×C22⋊C8C2×D13semidirect
1747. C13#61598semidirect
1793. Q8#88251semidirect
1846. D4#88251semidirect

Maximal subgroups

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

subgroupindex
#131285932
#41×C22⋊D132
#131271562
#131271342
#131268232
#131268202
#131267932
#131267902
#131266972
#131266452
SD16×C22⋊D132
D8×C22⋊D132
#131264492
#131264292
#131263342
#131263312
#131263192
#131263162
#131258282
#131257672
#131256502
#131256482
#131256032
#131255992
#131249802
#131248892
#131240882
#131240852
D13×#4492
#131238672
C2×C13×#4492
#6159813