Finite Group Databasebeta

← #16738530

Subgroups — #16738530

Order 3328.

2912 conjugacy classes of subgroups.

The subgroup lattice has 2112 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719473C211yesmaximal, characteristic, complemented
2C22×#88168C211yesmaximal, characteristic, complemented
3#13128325C211yesmaximal, characteristic, complemented
4D13×#546C211yesmaximal, characteristic, complemented
5#13126544C211yesmaximal, characteristic, complemented
6#13126523C211yesmaximal, characteristic, complemented
7#13126517C211yesmaximal, characteristic, complemented
8#13126469C211yesmaximal, characteristic, complemented
9#13126462C211yesmaximal, characteristic, complemented
10#13126445C211yesmaximal, characteristic, complemented
11#13126442C211yesmaximal, characteristic, complemented
12#13126376C211yesmaximal, characteristic, complemented
13#13126369C211yesmaximal, characteristic, complemented
14#13126365C211yesmaximal, characteristic, complemented
15#13126358C211yesmaximal, characteristic, complemented
16#13126346C211yesmaximal, characteristic, complemented
17#13126339C211yesmaximal, characteristic, complemented
18#13126313C211yesmaximal, characteristic, complemented
19#13126309C211yesmaximal, characteristic, complemented
20#13125297C211yesmaximal, characteristic, complemented
21#13124459C211yesmaximal, characteristic, complemented
22#13124448C211yesmaximal, characteristic, complemented
23#13124327C211yesmaximal, characteristic, complemented
24#13124298C211yesmaximal, characteristic, complemented
25#13124095C211yesmaximal, characteristic, complemented
26#13124085C211yesmaximal, characteristic, complemented
27#13124079C211yesmaximal, characteristic, complemented
28#13124060C211yesmaximal, characteristic, complemented
29C4×#88168C211yesmaximal, characteristic, complemented
30D4×#6094C211yesmaximal, characteristic, complemented
31C13×#3282C211yesmaximal, characteristic, complemented
32C2×#41×D13C2211yescharacteristic, complemented
33C2×#41×D13C2211yescharacteristic, complemented
34C22×#6131C2211yescharacteristic
35C22×D4×D13C2211yescharacteristic, complemented
36C2×C13×#135C2211yescharacteristic, complemented
37C22×C13×SD16C2211yescharacteristic, complemented
38C13×#548C2211yescharacteristic, complemented
39C13×#546C2211yescharacteristic, complemented
40#11719539C2211yescharacteristic, complemented
41#11719534C2211yescharacteristic, complemented
42C2×#88204C2211yescharacteristic, complemented
43C2×#88204C2211yescharacteristic, complemented
44Q8×C22⋊D13C2211yescharacteristic, complemented
45C22×#6106C2211yescharacteristic, complemented
46#11719511C2211yescharacteristic
47C22×#6104C2211yescharacteristic, complemented
48#11719473—28no—
49C2×#88172C2211yescharacteristic, complemented
50C2×#88172C2211yescharacteristic, complemented
51C2×#88172C2211yescharacteristic, complemented
52C2×#88169C2211yescharacteristic, complemented
53C2×#88169C2211yescharacteristic, complemented
54C2×#88168—28no—
55C2×#88168C2211yescharacteristic
56C2×#88168C2211yescharacteristic
57C2×#88168C2211yescharacteristic, complemented
58C2×#88168C2211yescharacteristic, complemented
59C2×#88168C2211yescharacteristic, complemented
60C2×#88168C2211yescharacteristic, complemented
61C2×#88168C2211yescharacteristic, complemented
62C2×#88168C2211yescharacteristic, complemented
63C2×#88168C2211yescharacteristic, complemented
64C2×#88165C2211yescharacteristic, complemented
65C2×#88165C2211yescharacteristic, complemented
66C2×#88165C2211yescharacteristic, complemented
67C2×#88158C2211yescharacteristic, complemented
68C22×D104C2211yescharacteristic, complemented
69C22×#6094C2211yescharacteristic, complemented
70C22×#6094C2211yescharacteristic, complemented
71#11719381—21no—
72#11719381C2211yescharacteristic, complemented
73#11719381C2211yescharacteristic, complemented
74D13×#124C2211yescharacteristic, complemented
75#11719373—21no—
76#11719373C2211yescharacteristic, complemented
77#11719359—21no—
78D13×#123—21no—
79#11719336—21no—
80#11719336C2211yescharacteristic, complemented
81#11719335C2211yescharacteristic
82#11719332—21no—
83#11719332C2211yescharacteristic, complemented
84D13×C22⋊Q8C2211yescharacteristic, complemented
85#11719317C2211yescharacteristic, complemented
86#11719315—21no—
87#11719314—21no—
88#11719314C2211yescharacteristic, complemented
89#11719311—21no—
90#11719311C2211yescharacteristic
91D13×#121—21no—
92D13×#121C2211yescharacteristic, complemented
93#11719296—21no—
94D13×#120—21no—
95#11719281C2211yescharacteristic, complemented
96C4×#6131C2211yescharacteristic, complemented
97#11719259C2211yescharacteristic, complemented
98#11719255—21no—
99#11719255C2211yescharacteristic, complemented
100#11719255C2211yescharacteristic, complemented
101C4×D4×D13—21no—
102C4×D4×D13C2211yescharacteristic
103C4×D4×D13C2211yescharacteristic, complemented
104#11719195—21no—
105C2×C22⋊C4×D13—21no—
106C13×#495C2211yescharacteristic, complemented
107C13×#465C2211yescharacteristic, complemented
108C13×#465C2211yescharacteristic, complemented
109C13×#464C2211yescharacteristic, complemented
110C13×#463C2211yescharacteristic, complemented
111C13×#452C2211yescharacteristic, complemented
112C13×#451C2211yescharacteristic, complemented
113C13×#449C2211yescharacteristic, complemented
114C13×#447C2211yescharacteristic, complemented
115C4×C13×SD16C2211yescharacteristic, complemented
116C8×D4×C13C2211yescharacteristic, complemented
117#11718899C2211yescharacteristic, complemented
118#11718899C2211yescharacteristic, complemented
119#11718889C2211yescharacteristic, complemented
120#11718879C2211yescharacteristic, complemented
121#11718851C2211yescharacteristic, complemented
122#11718848C2211yescharacteristic, complemented
123#11718848C2211yescharacteristic, complemented
124#11718848C2211yescharacteristic, complemented
125#11718846C2211yescharacteristic, complemented
126#11718837C2211yescharacteristic, complemented
127#11718835C2211yescharacteristic, complemented
128#11718835C2211yescharacteristic, complemented
129#11718834C2211yescharacteristic, complemented
130#11718831C2211yescharacteristic, complemented
131#11718828C2211yescharacteristic, complemented
132#11718827C2211yescharacteristic, complemented
133#11718825C2211yescharacteristic, complemented
134#11718823C2211yescharacteristic, complemented
135#11718817C2211yescharacteristic, complemented
136#11718817C2211yescharacteristic, complemented
137#11718817C2211yescharacteristic, complemented
138#11718815C2211yescharacteristic, complemented
139#11718811C2211yescharacteristic, complemented
140#11718777C2211yescharacteristic, complemented
141#11718776C2211yescharacteristic, complemented
142#11718772C2211yescharacteristic, complemented
143#11718772C2211yescharacteristic, complemented
144#11718720C2211yescharacteristic, complemented
145#11718720C2211yescharacteristic, complemented
146#11718718C2211yescharacteristic, complemented
147#11718718C2211yescharacteristic, complemented
148#11718712C2211yescharacteristic, complemented
149#11718709C2211yescharacteristic, complemented
150#11718708C2211yescharacteristic, complemented
151#11718707C2211yescharacteristic, complemented
152#11718702C2211yescharacteristic, complemented
153#11718699C2211yescharacteristic, complemented
154#11718698C2211yescharacteristic, complemented
155#11718697C2211yescharacteristic, complemented
156#11718689C2211yescharacteristic, complemented
157C4×#6106C2211yescharacteristic, complemented
158#11718677C2211yescharacteristic, complemented
159C4×#6104C2211yescharacteristic, complemented
160D4×#1055C2211yescharacteristic, complemented
161#11718530C2211yescharacteristic, complemented
162#11718529C2211yescharacteristic, complemented
163#11718526C2211yescharacteristic, complemented
164#11718522C2211yescharacteristic, complemented
165#11718505C2211yescharacteristic, complemented
166#11718505C2211yescharacteristic, complemented
167#11718499C2211yescharacteristic, complemented
168#11718498C2211yescharacteristic, complemented
169#11718480C2211yescharacteristic, complemented
170#11718479C2211yescharacteristic, complemented
171#11718478C2211yescharacteristic, complemented
172#11718477C2211yescharacteristic, complemented
173#11718473C2211yescharacteristic, complemented
174#11718472C2211yescharacteristic, complemented
175#11718471C2211yescharacteristic, complemented
176#11718471C2211yescharacteristic, complemented
177#11718467C2211yescharacteristic, complemented
178#11718464C2211yescharacteristic, complemented
179#11718464C2211yescharacteristic, complemented
180#11718463C2211yescharacteristic, complemented
181#11718448C2211yescharacteristic, complemented
182#11718447C2211yescharacteristic, complemented
183#11718446C2211yescharacteristic, complemented
184#11718443C2211yescharacteristic, complemented
185#11718442C2211yescharacteristic, complemented
186#11718441C2211yescharacteristic, complemented
187#11718437C2211yescharacteristic, complemented
188#11718437C2211yescharacteristic, complemented
189#11718434C2211yescharacteristic, complemented
190#11718432C2211yescharacteristic, complemented
191#11718431C2211yescharacteristic, complemented
192#11718431C2211yescharacteristic, complemented
193#11718395C2211yescharacteristic, complemented
194#11718395C2211yescharacteristic, complemented
195#11718392C2211yescharacteristic, complemented
196#11718392C2211yescharacteristic, complemented
197#11718391C2211yescharacteristic, complemented
198#11718391C2211yescharacteristic, complemented
199#11718387C2211yescharacteristic, complemented
200#11718387C2211yescharacteristic, complemented
201#11718357C2211yescharacteristic, complemented
202C4×D104C2211yescharacteristic, complemented
203#11718349C2211yescharacteristic, complemented
204C4×#6094C2211yescharacteristic, complemented
205C24×D13—21no—
206C2×C13×#41C2311yescharacteristic
207C2×C13×#41C2311yescharacteristic, complemented
208C22×Q8×C13C2311yescharacteristic
209C22×D4×C13C2311yescharacteristic
210C22×C22⋊D13—21no—
211#41×D13—24no—
212#41×D13—24no—
213#41×D13—42no—
214#41×D13—42no—
215C2×#6131—21no—
216C2×#6131—21no—
217C2×#6131—24no—
218C2×#6131—42no—
219C2×#6131C2311yescharacteristic
220C2×#6131C2311yescharacteristic
221C2×#6131C2311yescharacteristic
222C2×#6131C2311yescharacteristic
223C2×#6131C2311yescharacteristic
224C2×Q8×D13C2311yescharacteristic
225C2×Q8×D13C2311yescharacteristic, complemented
226C2×#6129—21no—
227C2×#6129—21no—
228C2×#6129C2311yescharacteristic
229C2×#6129C2311yescharacteristic
230C2×D4×D13—24no—
231C2×D4×D13—21no—
232C2×D4×D13—21no—
233C2×D4×D13—21no—
234C2×D4×D13—21no—
235C2×D4×D13—21no—
236C2×D4×D13—21no—
237C2×D4×D13—42no—
238C2×D4×D13D411yescharacteristic
239C2×D4×D13C2311yescharacteristic
240C2×D4×D13C2311yescharacteristic
241C2×D4×D13C2311yescharacteristic
242C2×D4×D13C2311yescharacteristic
243C2×D4×D13C2311yescharacteristic, complemented
244C2×#6127—21no—
245C2×#6127—21no—
246C2×#6127C2311yescharacteristic
247C2×#6127C2311yescharacteristic, complemented
248C22×D52—21no—
249C22×D52C2311yescharacteristic
250C22×D52C2311yescharacteristic
251C22×C4×D13—21no—
252C22×C4×D13—21no—
253C22×C4×D13—21no—
254C22×C4×D13—21no—
255C22×C4×D13C2311yescharacteristic
256C22×C4×D13C2311yescharacteristic
257C13×#135—24no—
258C2×C13×Q16C2311yescharacteristic, complemented
259C2×C13×Q16C2311yescharacteristic, complemented
260C2×C13×SD16—24no—
261C2×C13×SD16C2311yescharacteristic
262C2×C13×SD16C2311yescharacteristic
263C2×C13×SD16C2311yescharacteristic
264C2×C13×SD16C2311yescharacteristic
265C2×C13×SD16C2311yescharacteristic, complemented
266C2×C13×D8C2311yescharacteristic
267C2×C13×D8C2311yescharacteristic
268C22×C8×C13C2311yescharacteristic
269C22×C8×C13C2311yescharacteristic, complemented
270C13×#124—21no—
271C13×#124C2311yescharacteristic
272C13×#124C2311yescharacteristic, complemented
273C13×#123—21no—
274C13×C22⋊Q8—21no—
275C13×C22⋊Q8C2311yescharacteristic
276C13×C22⋊Q8C2311yescharacteristic, complemented
277C13×#121—21no—
278C13×#121—21no—
279C13×#121C2311yescharacteristic
280C13×#121C2311yescharacteristic
281C13×#120—21no—
282C4×Q8×C13C2311yescharacteristic, complemented
283C4×D4×C13—21no—
284C4×D4×C13C2311yescharacteristic
285C4×D4×C13C2311yescharacteristic
286C2×C13×C22⋊C4—21no—
287#88207—21no—
288C2×C22⋊Dic13—21no—
289#88204—24no—
290#88204—24no—
291#88201C2311yescharacteristic
292#88200—21no—
293#88200C2311yescharacteristic
294#88200C2311yescharacteristic, complemented
295Q8×Dic13C2311yescharacteristic, complemented
296#88198—21no—
297#88198C2311yescharacteristic, complemented
298C2×#6107C2311yescharacteristic, complemented
299C2×#6107C2311yescharacteristic, complemented
300C2×#6107C2311yescharacteristic, complemented
301C2×#6106—24no—
302C2×#6106C2311yescharacteristic
303C2×#6106C2311yescharacteristic
304C2×#6106C2311yescharacteristic
305C2×#6106C2311yescharacteristic
306C2×#6106C2311yescharacteristic, complemented
307C2×#6106C2311yescharacteristic, complemented
308#88194—21no—
309#88194C2311yescharacteristic, complemented
310#88193—21no—
311#88193—21no—
312#88193—21no—
313#88192—21no—
314#88192—21no—
315#88192C2311yescharacteristic
316#88192C2311yescharacteristic
317#88191—21no—
318#88191—21no—
319#88191—21no—
320#88191—21no—
321#88191—21no—
322#88191—21no—
323#88190C2311yescharacteristic
324#88189—21no—
325D4×Dic13—21no—
326D4×Dic13D411yescharacteristic
327D4×Dic13C2311yescharacteristic
328C2×#6105C2311yescharacteristic
329C2×#6105C2311yescharacteristic
330C2×#6105C2311yescharacteristic, complemented
331C2×#6104—24no—
332C2×#6104C2311yescharacteristic
333C2×#6104C2311yescharacteristic
334C2×#6104C2311yescharacteristic
335C2×#6104C2311yescharacteristic
336C2×#6104C2311yescharacteristic
337C2×#6104C2311yescharacteristic
338#88184—21no—
339#88184—21no—
340#88184C2311yescharacteristic
341#88184C2311yescharacteristic, complemented
342#88183—21no—
343C4×C22⋊D13—21no—
344C4×C22⋊D13—21no—
345C4×C22⋊D13—21no—
346C4×C22⋊D13C2311yescharacteristic
347C4×C22⋊D13C2311yescharacteristic
348C2×#6103—21no—
349C2×#6103—21no—
350#88178—21no—
351#88178C2311yescharacteristic
352#88178C2311yescharacteristic
353C22×#1055C2311yescharacteristic
354C22×#1055C2311yescharacteristic, complemented
355#88172—24no—
356#88172—24no—
357#88172—42no—
358#88169—24no—
359#88169—24no—
360#88168—24no—
361#88168—24no—
362#88168—24no—
363#88168—24no—
364#88168—24no—
365#88168—24no—
366#88168—24no—
367#88168—24no—
368#88168D418yescomplemented
369#88165—24no—
370#88165—24no—
371#88165—42no—
372C2×Dic52C2311yescharacteristic, complemented
373#88158—24no—
374C2×D104—24no—
375C2×D104C2311yescharacteristic
376C2×D104C2311yescharacteristic
377C2×D104C2311yescharacteristic
378C2×D104C2311yescharacteristic
379C2×#6095C2311yescharacteristic
380C2×#6095C2311yescharacteristic
381C2×#6095C2311yescharacteristic, complemented
382C2×#6095C2311yescharacteristic, complemented
383C2×#6094—24no—
384C2×#6094—24no—
385C2×#6094C2311yescharacteristic
386C2×#6094C2311yescharacteristic
387C2×#6094C2311yescharacteristic
388C2×#6094C2311yescharacteristic
389C2×#6094C2311yescharacteristic
390C2×#6094C2311yescharacteristic
391C2×#6094C2311yescharacteristic, complemented
392C2×#6094C2311yescharacteristic, complemented
393#88151—21no—
394#88151C2311yescharacteristic
395#88151C2311yescharacteristic
396#88150—21no—
397#88149—21no—
398#88149—21no—
399#88149C2311yescharacteristic
400#88149C2311yescharacteristic, complemented
401#88148—21no—
402#88148—21no—
403#88148—21no—
404#88148—21no—
405#88148—21no—
406#88147—21no—
407#88147—21no—
408#88147D411yescharacteristic
409#88147C2311yescharacteristic
410#88147C2311yescharacteristic, complemented
411#88146—21no—
412#88146C2311yescharacteristic
413C4⋊C4×D13—21no—
414C4⋊C4×D13—21no—
415C4⋊C4×D13D411yescharacteristic
416C4⋊C4×D13C2311yescharacteristic
417#88140—21no—
418#88139—21no—
419#88139—21no—
420#88138—21no—
421#88138—21no—
422#88138—21no—
423#88138—21no—
424#88138—21no—
425#88138—21no—
426#88138—21no—
427#88138—21no—
428#88138—21no—
429#88137—21no—
430#88137—21no—
431#88137—21no—
432#88137—21no—
433#88137—21no—
434#88136—21no—
435#88136—21no—
436#88136—21no—
437#88136—21no—
438#88136—21no—
439#88136—21no—
440#88135—21no—
441#88135—21no—
442#88135—21no—
443#88135—21no—
444#88135—21no—
445#88135D411yescharacteristic
446#88135D411yescharacteristic
447C22⋊C4×D13—21no—
448C22⋊C4×D13—21no—
449C22⋊C4×D13—21no—
450C22⋊C4×D13—21no—
451C22⋊C4×D13—21no—
452C22⋊C4×D13—21no—
453C22⋊C4×D13—21no—
454C22⋊C4×D13—21no—
455C22⋊C4×D13—21no—
456C22⋊C4×D13—21no—
457C22⋊C4×D13—21no—
458C22⋊C4×D13D411yescharacteristic
459C22⋊C4×D13D411yescharacteristic
460#88132—21no—
461#88129—21no—
462#88129C2311yescharacteristic
463#88129C2311yescharacteristic, complemented
464C4×D52—21no—
465C4×D52—21no—
466C4×D52C2311yescharacteristic
467C4×D52C2311yescharacteristic
468C4×D52C2311yescharacteristic, complemented
469C42×D13—21no—
470C42×D13C2311yescharacteristic
471C13×#106C2311yescharacteristic, complemented
472C13×C4⋊C8C2311yescharacteristic, complemented
473C13×#103C2311yescharacteristic, complemented
474C13×#103C2311yescharacteristic, complemented
475C13×#103C2311yescharacteristic, complemented
476C13×#102C2311yescharacteristic
477C13×#102C2311yescharacteristic
478C13×#102C2311yescharacteristic, complemented
479C13×C22⋊C8C2311yescharacteristic
480C13×C22⋊C8C2311yescharacteristic, complemented
481C4×C8×C13C2311yescharacteristic, complemented
482#88075C2311yescharacteristic, complemented
483#88075C2311yescharacteristic, complemented
484#88075C2311yescharacteristic, complemented
485#88072C2311yescharacteristic
486#88072C2311yescharacteristic
487#88072C2311yescharacteristic, complemented
488C22⋊#1055C2311yescharacteristic
489C22⋊#1055C2311yescharacteristic, complemented
490#88061C2311yescharacteristic
491#88061C2311yescharacteristic
492#88061C2311yescharacteristic, complemented
493#88061C2311yescharacteristic, complemented
494#88060C2311yescharacteristic
495#88060C2311yescharacteristic
496#88060C2311yescharacteristic, complemented
497#88060C2311yescharacteristic, complemented
498#88058C2311yescharacteristic, complemented
499#88056C2311yescharacteristic, complemented
500#88056C2311yescharacteristic, complemented
501#88055C2311yescharacteristic, complemented
502#88055C2311yescharacteristic, complemented
503#88054C2311yescharacteristic, complemented
504#88054C2311yescharacteristic, complemented
505#88050C2311yescharacteristic, complemented
506#88050C2311yescharacteristic, complemented
507#88049C2311yescharacteristic
508#88049C2311yescharacteristic
509#88049C2311yescharacteristic, complemented
510#88049C2311yescharacteristic, complemented
511#88048C2311yescharacteristic, complemented
512#88047C2311yescharacteristic, complemented
513C4⋊#1055C2311yescharacteristic, complemented
514C4×#1055C2311yescharacteristic, complemented
515#61066—131nomaximal, Sylow
516C24×C13—21no—
517C23×D13—21no—
518C23×D13—21no—
519C23×D13—21no—
520C23×D13—21no—
521C23×D13—21no—
522C23×D13—21no—
523C23×D13—21no—
524C23×D13—44no—
525C23×D13—44no—
526C23×D13—82no—
527C23×D13C2×D411yescharacteristic
528C23×D13C2×D411yescharacteristic
529C13×#41—22no—
530C13×#41—22no—
531C13×#41—41no—
532C13×#41—41no—
533C2×Q8×C13—21no—
534C2×Q8×C13—22no—
535C2×Q8×C13—41no—
536C2×Q8×C13C2411yescharacteristic
537C2×Q8×C13C2411yescharacteristic
538C2×Q8×C13C2411yescharacteristic
539C2×D4×C13—22no—
540C2×D4×C13—21no—
541C2×D4×C13—21no—
542C2×D4×C13—21no—
543C2×D4×C13—21no—
544C2×D4×C13—21no—
545C2×D4×C13—41no—
546C2×D4×C13C2×D411yescharacteristic
547C2×D4×C13C2411yescharacteristic
548C2×D4×C13C2411yescharacteristic
549C2×D4×C13C2411yescharacteristic
550C22×C4×C13—21no—
551C22×C4×C13—21no—
552C22×C4×C13—21no—
553C22×C4×C13—21no—
554C22×C4×C13C2411yescharacteristic
555C22×C4×C13C2411yescharacteristic
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—44no—
572C2×C22⋊D13C2×D411yescharacteristic
573C2×C22⋊D13C2×D411yescharacteristic
574C22×Dic13—21no—
575C22×Dic13—21no—
576C22×Dic13—21no—
577C22×Dic13C2×D411yescharacteristic
578C22×Dic13C2×D411yescharacteristic
579#6131—22no—
580#6131—22no—
581#6131—22no—
582#6131—22no—
583#6131—22no—
584#6131—22no—
585#6131—44no—
586#6131—41no—
587#6131—41no—
588#6131—41no—
589#6131—44no—
590#6131C2×D414yes—
591Q8×D13—22no—
592Q8×D13—22no—
593Q8×D13—22no—
594Q8×D13—41no—
595#6129—22no—
596#6129—22no—
597#6129—22no—
598#6129—41no—
599#6129—44no—
600#6129—44no—
601D4×D13—22no—
602D4×D13—22no—
603D4×D13—22no—
604D4×D13—22no—
605D4×D13—22no—
606D4×D13—22no—
607D4×D13—41no—
608D4×D13—41no—
609D4×D13—41no—
610D4×D13—44no—
611D4×D13—44no—
612D4×D13—44no—
613D4×D13—42no—
614D4×D13—44no—
615D4×D13—44no—
616D4×D13—82no—
617D4×D13C2×D414yescomplemented
618#6127—22no—
619#6127—22no—
620#6127—41no—
621#6127—41no—
622#6127—44no—
623#6127—44no—
624C2×D52—21no—
625C2×D52—22no—
626C2×D52—22no—
627C2×D52—21no—
628C2×D52—21no—
629C2×D52—21no—
630C2×D52—21no—
631C2×D52—21no—
632C2×D52—21no—
633C2×D52—21no—
634C2×D52—21no—
635C2×D52—41no—
636C2×D52—41no—
637C2×D52—44no—
638C2×D52C2×D411yescharacteristic
639C2×D52C2411yescharacteristic
640C2×D52C2411yescharacteristic
641C2×D52C2411yescharacteristic
642C2×D52C2411yescharacteristic
643C2×C4×D13—21no—
644C2×C4×D13—22no—
645C2×C4×D13—22no—
646C2×C4×D13—22no—
647C2×C4×D13—22no—
648C2×C4×D13—21no—
649C2×C4×D13—21no—
650C2×C4×D13—21no—
651C2×C4×D13—21no—
652C2×C4×D13—21no—
653C2×C4×D13—21no—
654C2×C4×D13—21no—
655C2×C4×D13—21no—
656C2×C4×D13—21no—
657C2×C4×D13—21no—
658C2×C4×D13—21no—
659C2×C4×D13—21no—
660C2×C4×D13—21no—
661C2×C4×D13—44no—
662C2×C4×D13—44no—
663C2×C4×D13—44no—
664C2×C4×D13—82no—
665C2×C4×D13C2×D411yescharacteristic
666C2×C4×D13C2×D411yescharacteristic
667C2×C4×D13C2×D411yescharacteristic
668C2×C4×D13C2×D411yescharacteristic
669C2×C4×D13C2×D411yescharacteristic
670C2×C4×D13C2×D411yescharacteristic
671C2×C4×D13C2411yescharacteristic
672C2×C4×D13C2411yescharacteristic
673C2×C4×D13C2411yescharacteristic
674C2×Dic26—21no—
675C2×Dic26—21no—
676C2×Dic26C2411yescharacteristic
677C2×Dic26C2411yescharacteristic
678C13×Q16—22no—
679C13×Q16—41no—
680C13×SD16—22no—
681C13×SD16—22no—
682C13×SD16—22no—
683C13×SD16—22no—
684C13×SD16C2×D414yescomplemented
685C13×D8—22no—
686C13×D8—41no—
687C2×C8×C13—22no—
688C2×C8×C13—22no—
689C2×C8×C13C2411yescharacteristic
690C2×C8×C13C2411yescharacteristic
691C2×C8×C13C2411yescharacteristic
692C2×C8×C13C2411yescharacteristic
693C13×C4⋊C4—21no—
694C13×C4⋊C4—21no—
695C13×C4⋊C4—21no—
696C13×C4⋊C4C2×D411yescharacteristic
697C13×C4⋊C4C2411yescharacteristic
698C13×C4⋊C4C2411yescharacteristic
699C13×C22⋊C4—21no—
700C13×C22⋊C4—21no—
701C13×C22⋊C4—21no—
702C13×C22⋊C4—21no—
703C13×C22⋊C4—21no—
704C13×C22⋊C4—21no—
705C13×C22⋊C4—21no—
706C13×C22⋊C4—21no—
707C13×C22⋊C4—21no—
708C13×C22⋊C4C2×D411yescharacteristic
709C13×C22⋊C4C2×D411yescharacteristic
710C42×C13—21no—
711C42×C13C2411yescharacteristic
712C22⋊Dic13—21no—
713C22⋊Dic13—21no—
714C22⋊Dic13—21no—
715C22⋊Dic13—21no—
716C22⋊Dic13—21no—
717C22⋊Dic13—21no—
718C22⋊Dic13—21no—
719C22⋊Dic13C2×D411yescharacteristic
720C22⋊Dic13C2×D411yescharacteristic
721#6107—22no—
722#6107—22no—
723#6107—41no—
724#6106—22no—
725#6106—22no—
726#6106—22no—
727#6106—22no—
728#6106—41no—
729#6106C2×D414yescomplemented
730#6105—22no—
731#6105—22no—
732#6105—41no—
733#6104—22no—
734#6104—22no—
735#6104—22no—
736#6104—22no—
737#6104—41no—
738#6104C2×D414yescomplemented
739#6103—21no—
740#6103—21no—
741#6103—21no—
742#6103—21no—
743#6103—21no—
744#6103—21no—
745#6103—21no—
746#6103—21no—
747#6103—21no—
748#6103—21no—
749#6103—21no—
750#6103—21no—
751#6103—21no—
752#6103—21no—
753#6103—21no—
754#6103—21no—
755#6103—21no—
756#6103—21no—
757#6103—21no—
758#6103C2×D411yescharacteristic
759#6103C2×D411yescharacteristic
760#6103C2×D411yescharacteristic
761#6103C2×D411yescharacteristic
762C4⋊Dic13—21no—
763C4⋊Dic13—21no—
764C4⋊Dic13—21no—
765C4⋊Dic13C2×D411yescharacteristic
766C4⋊Dic13C2411yescharacteristic
767C4⋊Dic13C2411yescharacteristic
768#6101—21no—
769#6101—21no—
770#6101—21no—
771#6101—21no—
772#6101—21no—
773#6101—21no—
774#6101—21no—
775#6101C2×D411yescharacteristic
776#6101C2×D411yescharacteristic
777C4×Dic13—21no—
778C4×Dic13—21no—
779C4×Dic13C2×D411yescharacteristic
780C4×Dic13C2×D411yescharacteristic
781C4×Dic13C2411yescharacteristic
782C2×#1055—22no—
783C2×#1055—22no—
784C2×#1055C2411yescharacteristic
785C2×#1055C2411yescharacteristic
786C2×#1055C2411yescharacteristic
787C2×#1055C2411yescharacteristic
788Dic52—22no—
789D104—22no—
790D104—22no—
791D104—22no—
792D104C2×D414yescomplemented
793#6095—22no—
794#6095—22no—
795#6095—41no—
796#6095—41no—
797#6094—22no—
798#6094—22no—
799#6094—22no—
800#6094—22no—
801#6094—22no—
802#6094—22no—
803#6094—22no—
804#6094C2×D414yescomplemented
805C2×#575—131no—
806C22×AGL(1,ℤ/8)—131no—
807D4×#41—131no—
808C2×#546—131no—
809#3282—131no—
810#3282D1311yescharacteristic, complemented
811#3280—131no—
812#3280—131no—
813#3275—131no—
814#3275—131no—
815#3273—131no—
816#3273—131no—
817#3268—131no—
818#3268—131no—
819#3267—131no—
820#3267—131no—
821#3266—131no—
822#3266—131no—
823#3264—131no—
824#3264—131no—
825#3153—131no—
826#3056—131no—
827#3055—131no—
828#3040—131no—
829#3036—131no—
830#3007—131no—
831#3006—131no—
832#3005—131no—
833#3003—131no—
834C4×AGL(1,ℤ/8)—131no—
835D4×M16—131no—
836C23×C13—21no—
837C23×C13—21no—
838C23×C13—21no—
839C23×C13—42no—
840C23×C13—42no—
841C23×C13—81no—
842C23×C13C22×D411yescharacteristic
843C23×C13C22×D411yescharacteristic
844C22×D13—22no—
845C22×D13—21no—
846C22×D13—21no—
847C22×D13—22no—
848C22×D13—24no—
849C22×D13—22no—
850C22×D13—21no—
851C22×D13—21no—
852C22×D13—41no—
853C22×D13—41no—
854C22×D13—41no—
855C22×D13—42no—
856C22×D13—42no—
857C22×D13—42no—
858C22×D13—42no—
859C22×D13—42no—
860C22×D13—42no—
861C22×D13—42no—
862C22×D13—42no—
863C22×D13—42no—
864C22×D13—42no—
865C22×D13—42no—
866C22×D13—42no—
867C22×D13—42no—
868C22×D13—42no—
869C22×D13—42no—
870C22×D13—81no—
871C22×D13—81no—
872C22×D13—81no—
873C22×D13—81no—
874C22×D13—81no—
875C22×D13—816no—
876C22×D13C22×D411yescharacteristic
877C22×D13C22×D411yescharacteristic
878C22×D13C22×D411yescharacteristic
879Q8×C13—21no—
880Q8×C13—21no—
881Q8×C13—21no—
882Q8×C13—21no—
883Q8×C13—21no—
884Q8×C13—42no—
885Q8×C13C22×D412yes—
886D4×C13—22no—
887D4×C13—21no—
888D4×C13—21no—
889D4×C13—21no—
890D4×C13—21no—
891D4×C13—21no—
892D4×C13—42no—
893D4×C13—42no—
894D4×C13—42no—
895D4×C13—42no—
896D4×C13—81no—
897D4×C13C22×D412yes—
898C2×C4×C13—21no—
899C2×C4×C13—21no—
900C2×C4×C13—21no—
901C2×C4×C13—21no—
902C2×C4×C13—21no—
903C2×C4×C13—21no—
904C2×C4×C13—21no—
905C2×C4×C13—21no—
906C2×C4×C13—21no—
907C2×C4×C13—42no—
908C2×C4×C13—42no—
909C2×C4×C13—42no—
910C2×C4×C13—81no—
911C2×C4×C13C22×D411yescharacteristic
912C2×C4×C13C22×D411yescharacteristic
913C2×C4×C13C22×D411yescharacteristic
914C2×C4×C13C22×D411yescharacteristic
915C2×C4×C13C2511yescharacteristic
916C22⋊D13—22no—
917C22⋊D13—24no—
918C22⋊D13—41no—
919C22⋊D13—42no—
920C22⋊D13—42no—
921C22⋊D13—42no—
922C22⋊D13—42no—
923C22⋊D13—42no—
924C22⋊D13—42no—
925C22⋊D13—42no—
926C22⋊D13—42no—
927C22⋊D13—42no—
928C22⋊D13—81no—
929C22⋊D13—81no—
930C22⋊D13—81no—
931C22⋊D13—81no—
932C22⋊D13—81no—
933C2×Dic13—22no—
934C2×Dic13—22no—
935C2×Dic13—21no—
936C2×Dic13—21no—
937C2×Dic13—21no—
938C2×Dic13—21no—
939C2×Dic13—42no—
940C2×Dic13—42no—
941C2×Dic13—81no—
942C2×Dic13C22×D411yescharacteristic
943C2×Dic13C22×D411yescharacteristic
944C2×Dic13C22×D411yescharacteristic
945C2×Dic13C22×D411yescharacteristic
946C2×Dic13C22×D411yescharacteristic
947D52—24no—
948D52—21no—
949D52—21no—
950D52—21no—
951D52—21no—
952D52—21no—
953D52—21no—
954D52—41no—
955D52—42no—
956D52—42no—
957D52—42no—
958D52—42no—
959D52—42no—
960D52—42no—
961D52—42no—
962D52—81no—
963D52C22×D412yes—
964D52C22×D412yes—
965C4×D13—22no—
966C4×D13—22no—
967C4×D13—21no—
968C4×D13—21no—
969C4×D13—21no—
970C4×D13—21no—
971C4×D13—22no—
972C4×D13—22no—
973C4×D13—24no—
974C4×D13—41no—
975C4×D13—41no—
976C4×D13—42no—
977C4×D13—42no—
978C4×D13—42no—
979C4×D13—42no—
980C4×D13—42no—
981C4×D13—42no—
982C4×D13—42no—
983C4×D13—42no—
984C4×D13—42no—
985C4×D13—42no—
986C4×D13—81no—
987C4×D13—81no—
988C4×D13—81no—
989C4×D13C22×D412yes—
990C4×D13H(5,𝔽2)12yes—
991Dic26—21no—
992Dic26—21no—
993Dic26—21no—
994Dic26—21no—
995Dic26—42no—
996Dic26—42no—
997C8×C13—21no—
998C8×C13—21no—
999C8×C13—21no—
1000C8×C13C22×D412yes—
1001#1055—21no—
1002#1055—21no—
1003#1055—21no—
1004#1055C22×D412yes—
1005C22×#41—131no—
1006C22×#41—131no—
1007C22×#41—131no—
1008C23×D4—131no—
1009#575—268no—
1010C2×#137—131no—
1011C2×#137—131no—
1012C2×#137—131no—
1013C2×#137—131no—
1014C2×#137—131no—
1015C2×AGL(1,ℤ/8)—131no—
1016C2×AGL(1,ℤ/8)—131no—
1017C2×AGL(1,ℤ/8)—131no—
1018C2×AGL(1,ℤ/8)—131no—
1019C2×AGL(1,ℤ/8)—131no—
1020C2×AGL(1,ℤ/8)—131no—
1021C2×AGL(1,ℤ/8)—131no—
1022C2×AGL(1,ℤ/8)—131no—
1023C2×AGL(1,ℤ/8)—131no—
1024C2×AGL(1,ℤ/8)—131no—
1025C2×AGL(1,ℤ/8)—131no—
1026C2×AGL(1,ℤ/8)—131no—
1027C2×AGL(1,ℤ/8)—268no—
1028C2×#135—131no—
1029C2×#135—131no—
1030C2×#135—131no—
1031C2×#135C2×D1311yescharacteristic, complemented
1032C22×SD16—131no—
1033C22×SD16C2×D1311yescharacteristic, complemented
1034C22×D8—131no—
1035C22×D8—131no—
1036C22×M16—131no—
1037C22×M16—131no—
1038#550—131no—
1039D4×Q8—131no—
1040#548—131no—
1041#548C2×D1311yescharacteristic, complemented
1042#547—131no—
1043#547—261no—
1044#546—131no—
1045#546—131no—
1046#546—131no—
1047#546—131no—
1048#546—131no—
1049#546—131no—
1050#546—131no—
1051#546—131no—
1052#546—131no—
1053#546—261no—
1054#546—261no—
1055#546—261no—
1056#546—261no—
1057#546—261no—
1058#546—261no—
1059#546C2×D1311yescharacteristic, complemented
1060D42—131no—
1061D42—261no—
1062#532—131no—
1063#532—261no—
1064C2×#124—131no—
1065#525—131no—
1066#525—131no—
1067#525—261no—
1068#525—261no—
1069C2×#123—261no—
1070C2×C22⋊Q8—131no—
1071C2×#121—131no—
1072C2×#121—261no—
1073C2×#120—261no—
1074C4×#41—131no—
1075C2×C4×D4—131no—
1076C2×C4×D4—131no—
1077C2×C4×D4—261no—
1078C22×C22⋊C4—261no—
1079#497—131no—
1080#497—131no—
1081#496—131no—
1082#496—131no—
1083#495—131no—
1084#495—131no—
1085#495—131no—
1086#495C2×D1311yescharacteristic, complemented
1087#470—131no—
1088#470—131no—
1089#469—131no—
1090#469—131no—
1091#468—131no—
1092#468—131no—
1093#468—131no—
1094#468—131no—
1095#467—131no—
1096#467—131no—
1097#466—131no—
1098#466—131no—
1099#465—131no—
1100#465—131no—
1101#465C2×D1311yescharacteristic, complemented
1102#465C2×D1311yescharacteristic, complemented
1103#464—131no—
1104#464—131no—
1105#464—131no—
1106#464C2×D1311yescharacteristic, complemented
1107#463—131no—
1108#463—131no—
1109#463—131no—
1110#463—131no—
1111#463—131no—
1112#463—131no—
1113#463—131no—
1114#463C2×D1311yescharacteristic, complemented
1115#461—131no—
1116#461—131no—
1117#459—131no—
1118#459—131no—
1119#452—131no—
1120#452—131no—
1121#452—131no—
1122#452—131no—
1123#452—131no—
1124#452—131no—
1125#452—131no—
1126#452C2×D1311yescharacteristic, complemented
1127#451—131no—
1128#451C2×D1311yescharacteristic, complemented
1129#450—131no—
1130#450—131no—
1131#450—131no—
1132#450—131no—
1133#450—131no—
1134#450—131no—
1135#449—131no—
1136#449—131no—
1137#449—131no—
1138#449—131no—
1139#449—131no—
1140#449—131no—
1141#449—131no—
1142#449C2×D1311yescharacteristic, complemented
1143#448—131no—
1144#448—131no—
1145#447—131no—
1146#447—131no—
1147#447—131no—
1148#447—131no—
1149#447—131no—
1150#447C2×D1311yescharacteristic, complemented
1151#442—131no—
1152#442—131no—
1153#440—131no—
1154#440—131no—
1155C4×SD16—131no—
1156C4×SD16C2×D1311yescharacteristic, complemented
1157C4×D8—131no—
1158C4×D8—131no—
1159#436—131no—
1160#436—131no—
1161#435—131no—
1162#435—131no—
1163#435—131no—
1164#435—131no—
1165C8×D4—131no—
1166C8×D4C2×D1311yescharacteristic, complemented
1167#428—131no—
1168#423—131no—
1169#419—131no—
1170#418—131no—
1171#418—131no—
1172#417—131no—
1173#417—131no—
1174#417—131no—
1175#407—131no—
1176#407—131no—
1177C4×M16—131no—
1178C22×C13—21no—
1179C22×C13—21no—
1180C22×C13—21no—
1181C22×C13—21no—
1182C22×C13—22no—
1183C22×C13—21no—
1184C22×C13—41no—
1185C22×C13—41no—
1186C22×C13—41no—
1187C22×C13—41no—
1188C22×C13—41no—
1189C22×C13—41no—
1190C22×C13—41no—
1191C22×C13—41no—
1192C22×C13—84no—
1193C22×C13#57512yescomplemented
1194C22×C13C23×D411yescharacteristic
1195C2×D13—21no—
1196C2×D13—21no—
1197C2×D13—21no—
1198C2×D13—21no—
1199C2×D13—21no—
1200C2×D13—21no—
1201C2×D13—22no—
1202C2×D13—22no—
1203C2×D13—21no—
1204C2×D13—21no—
1205C2×D13—44no—
1206C2×D13—48no—
1207C2×D13—41no—
1208C2×D13—41no—
1209C2×D13—41no—
1210C2×D13—41no—
1211C2×D13—41no—
1212C2×D13—41no—
1213C2×D13—41no—
1214C2×D13—41no—
1215C2×D13—41no—
1216C2×D13—41no—
1217C2×D13—82no—
1218C2×D13—84no—
1219C2×D13—84no—
1220C2×D13—84no—
1221C2×D13—84no—
1222C2×D13—84no—
1223C2×D13—84no—
1224C2×D13D4212yes—
1225C4×C13—21no—
1226C4×C13—22no—
1227C4×C13—21no—
1228C4×C13—21no—
1229C4×C13—21no—
1230C4×C13—41no—
1231C4×C13—41no—
1232C4×C13—41no—
1233C4×C13—41no—
1234C4×C13C23×D411yescharacteristic
1235C4×C13C2×H(5,𝔽2)11yescharacteristic
1236Dic13—21no—
1237Dic13—21no—
1238Dic13—21no—
1239Dic13—21no—
1240Dic13—41no—
1241Dic13—41no—
1242Dic13—41no—
1243Dic13—41no—
1244Dic13D4212yes—
1245C25—261no—
1246C2×#41—131no—
1247C2×#41—131no—
1248C2×#41—131no—
1249C2×#41—131no—
1250C2×#41—131no—
1251C2×#41—131no—
1252C2×#41—131no—
1253C2×#41—131no—
1254C2×#41—131no—
1255C2×#41—261no—
1256C2×#41—261no—
1257C2×#41—261no—
1258C2×#41—261no—
1259C2×#41—261no—
1260C2×#41—261no—
1261C2×#41—264no—
1262C2×#41—264no—
1263C2×#41—264no—
1264C2×#41—522no—
1265C2×#41—522no—
1266C2×#41—522no—
1267C2×#41C22×D1311yescharacteristic
1268C2×#41C22×D1311yescharacteristic, complemented
1269C22×Q8—131no—
1270C22×Q8—131no—
1271C22×Q8C22×D1311yescharacteristic
1272C22×D4—131no—
1273C22×D4—131no—
1274C22×D4—131no—
1275C22×D4—131no—
1276C22×D4—131no—
1277C22×D4—131no—
1278C22×D4—131no—
1279C22×D4—131no—
1280C22×D4—261no—
1281C22×D4—261no—
1282C22×D4—261no—
1283C22×D4—261no—
1284C22×D4—264no—
1285C22×D4—261no—
1286C22×D4—261no—
1287C22×D4—261no—
1288C22×D4—261no—
1289C22×D4—522no—
1290C22×D4C22×D1311yescharacteristic
1291C23×C4—131no—
1292C23×C4—131no—
1293C23×C4—261no—
1294C23×C4—261no—
1295C23×C4—261no—
1296C23×C4—261no—
1297#137—264no—
1298#137—264no—
1299#137—264no—
1300#137—264no—
1301#137—522no—
1302AGL(1,ℤ/8)—138no—
1303AGL(1,ℤ/8)—264no—
1304AGL(1,ℤ/8)—264no—
1305AGL(1,ℤ/8)—264no—
1306AGL(1,ℤ/8)—264no—
1307AGL(1,ℤ/8)—264no—
1308AGL(1,ℤ/8)—264no—
1309AGL(1,ℤ/8)—264no—
1310AGL(1,ℤ/8)—264no—
1311AGL(1,ℤ/8)—264no—
1312AGL(1,ℤ/8)—264no—
1313AGL(1,ℤ/8)—522no—
1314#135—24no—
1315#135—264no—
1316#135—264no—
1317#135—264no—
1318C2×Q16—131no—
1319C2×Q16—131no—
1320C2×Q16—131no—
1321C2×Q16—131no—
1322C2×Q16C22×D1311yescharacteristic, complemented
1323C2×Q16C22×D1311yescharacteristic, complemented
1324C2×SD16—24no—
1325C2×SD16—131no—
1326C2×SD16—131no—
1327C2×SD16—131no—
1328C2×SD16—131no—
1329C2×SD16—131no—
1330C2×SD16—131no—
1331C2×SD16—131no—
1332C2×SD16—131no—
1333C2×SD16—131no—
1334C2×SD16—131no—
1335C2×SD16—131no—
1336C2×SD16—131no—
1337C2×SD16—131no—
1338C2×SD16—264no—
1339C2×SD16C22×D1311yescharacteristic
1340C2×SD16C22×D1311yescharacteristic
1341C2×SD16C22×D1311yescharacteristic
1342C2×SD16C22×D1311yescharacteristic
1343C2×SD16C22×D1311yescharacteristic, complemented
1344C2×D8—131no—
1345C2×D8—131no—
1346C2×D8—131no—
1347C2×D8—131no—
1348C2×D8—131no—
1349C2×D8—131no—
1350C2×D8—131no—
1351C2×D8—131no—
1352C2×D8—131no—
1353C2×D8—131no—
1354C2×D8—264no—
1355C2×D8—264no—
1356C2×D8C22×D1311yescharacteristic
1357C2×D8C22×D1311yescharacteristic
1358C2×M16—131no—
1359C2×M16—131no—
1360C2×M16—131no—
1361C2×M16—131no—
1362C2×M16—131no—
1363C2×M16—131no—
1364C2×M16—131no—
1365C2×M16—131no—
1366C2×M16—264no—
1367C2×M16—264no—
1368C22×C8—131no—
1369C22×C8—131no—
1370C22×C8C22×D1311yescharacteristic
1371C22×C8C22×D1311yescharacteristic, complemented
1372C4⋊Q8—131no—
1373C4⋊Q8—261no—
1374#127—131no—
1375#127—261no—
1376#124—21no—
1377#124—131no—
1378#124—131no—
1379#124—131no—
1380#124—131no—
1381#124—261no—
1382#124—261no—
1383#124—261no—
1384#124C22×D1311yescharacteristic
1385#124C22×D1311yescharacteristic, complemented
1386#123—21no—
1387#123—261no—
1388#123—261no—
1389#123—261no—
1390#123—261no—
1391#123—261no—
1392#123—261no—
1393#123—261no—
1394#123—261no—
1395#123—261no—
1396#123—261no—
1397#123—261no—
1398#123—261no—
1399#123—261no—
1400C22⋊Q8—21no—
1401C22⋊Q8—131no—
1402C22⋊Q8—131no—
1403C22⋊Q8—131no—
1404C22⋊Q8—131no—
1405C22⋊Q8—131no—
1406C22⋊Q8—131no—
1407C22⋊Q8—261no—
1408C22⋊Q8—261no—
1409C22⋊Q8—261no—
1410C22⋊Q8—261no—
1411C22⋊Q8—261no—
1412C22⋊Q8C22×D1311yescharacteristic
1413C22⋊Q8C22×D1311yescharacteristic, complemented
1414#121—21no—
1415#121—21no—
1416#121—131no—
1417#121—131no—
1418#121—131no—
1419#121—131no—
1420#121—131no—
1421#121—131no—
1422#121—261no—
1423#121—261no—
1424#121—261no—
1425#121—261no—
1426#121—261no—
1427#121—261no—
1428#121—261no—
1429#121—261no—
1430#121—261no—
1431#121—261no—
1432#121—261no—
1433#121—261no—
1434#121—261no—
1435#121—261no—
1436#121—261no—
1437#121—261no—
1438#121—261no—
1439#121—261no—
1440#121C22×D1311yescharacteristic
1441#121C22×D1311yescharacteristic
1442#120—21no—
1443#120—261no—
1444#120—261no—
1445#120—261no—
1446#120—261no—
1447#120—261no—
1448#120—261no—
1449#120—261no—
1450#120—261no—
1451#120—261no—
1452#120—261no—
1453#120—261no—
1454#120—261no—
1455#120—261no—
1456C4×Q8—131no—
1457C4×Q8C22×D1311yescharacteristic, complemented
1458C4×D4—21no—
1459C4×D4—131no—
1460C4×D4—131no—
1461C4×D4—131no—
1462C4×D4—131no—
1463C4×D4—131no—
1464C4×D4—131no—
1465C4×D4—131no—
1466C4×D4—131no—
1467C4×D4—131no—
1468C4×D4—131no—
1469C4×D4—131no—
1470C4×D4—131no—
1471C4×D4—261no—
1472C4×D4—261no—
1473C4×D4—261no—
1474C4×D4—261no—
1475C4×D4—261no—
1476C4×D4—261no—
1477C4×D4—261no—
1478C4×D4—261no—
1479C4×D4—261no—
1480C4×D4—261no—
1481C4×D4—261no—
1482C4×D4—261no—
1483C4×D4—261no—
1484C4×D4C22×D1311yescharacteristic
1485C4×D4C22×D1311yescharacteristic
1486#117—131no—
1487#117—261no—
1488C2×C4⋊C4—131no—
1489C2×C4⋊C4—131no—
1490C2×C4⋊C4—261no—
1491C2×C4⋊C4—261no—
1492C2×C22⋊C4—21no—
1493C2×C22⋊C4—131no—
1494C2×C22⋊C4—131no—
1495C2×C22⋊C4—261no—
1496C2×C22⋊C4—261no—
1497C2×C22⋊C4—261no—
1498C2×C22⋊C4—261no—
1499C2×C22⋊C4—261no—
1500C2×C22⋊C4—261no—
1501C2×C22⋊C4—261no—
1502C2×C22⋊C4—261no—
1503C2×C22⋊C4—261no—
1504C2×C22⋊C4—261no—
1505C2×C22⋊C4—261no—
1506C2×C22⋊C4—261no—
1507C2×C22⋊C4—261no—
1508C2×C22⋊C4—261no—
1509C2×C42—131no—
1510C2×C42—261no—
1511#107—131no—
1512#107—131no—
1513#106—131no—
1514#106C22×D1311yescharacteristic, complemented
1515C4⋊C8—131no—
1516C4⋊C8—131no—
1517C4⋊C8—131no—
1518C4⋊C8C22×D1311yescharacteristic, complemented
1519#103—131no—
1520#103—131no—
1521#103—131no—
1522#103—131no—
1523#103—131no—
1524#103—131no—
1525#103—131no—
1526#103C22×D1311yescharacteristic, complemented
1527#103C22×D1311yescharacteristic, complemented
1528#103C22×D1311yescharacteristic, complemented
1529#102—131no—
1530#102—131no—
1531#102—131no—
1532#102—131no—
1533#102—131no—
1534#102—131no—
1535#102—131no—
1536#102—131no—
1537#102—131no—
1538#102—131no—
1539#102—131no—
1540#102C22×D1311yescharacteristic
1541#102C22×D1311yescharacteristic
1542#102C22×D1311yescharacteristic, complemented
1543C22⋊C8—131no—
1544C22⋊C8—131no—
1545C22⋊C8—131no—
1546C22⋊C8—131no—
1547C22⋊C8—131no—
1548C22⋊C8—131no—
1549C22⋊C8C22×D1311yescharacteristic
1550C22⋊C8C22×D1311yescharacteristic, complemented
1551#97—131no—
1552#97—131no—
1553C4×C8—131no—
1554C4×C8C22×D1311yescharacteristic, complemented
1555C2×C13—22no—
1556C2×C13—42no—
1557C2×C13—41no—
1558C2×C13—81no—
1559C2×C13—81no—
1560C2×C13C2×D4211yescharacteristic
1561C2×C13C2×#57511yescharacteristic
1562C2×C13#358511yescharacteristic
1563D13—22no—
1564D13—41no—
1565D13—41no—
1566D13—42no—
1567D13—42no—
1568D13—81no—
1569D13—81no—
1570C24—21no—
1571C24—131no—
1572C24—131no—
1573C24—261no—
1574C24—261no—
1575C24—261no—
1576C24—261no—
1577C24—261no—
1578C24—261no—
1579C24—261no—
1580C24—524no—
1581C24—524no—
1582C24—1042no—
1583#41—22no—
1584#41—22no—
1585#41—41no—
1586#41—41no—
1587#41—134no—
1588#41—262no—
1589#41—262no—
1590#41—262no—
1591#41—262no—
1592#41—262no—
1593#41—262no—
1594#41—262no—
1595#41—262no—
1596#41—262no—
1597#41—262no—
1598#41—262no—
1599#41—521no—
1600#41—521no—
1601#41—524no—
1602#41—524no—
1603#41—524no—
1604#41—524no—
1605#41—521no—
1606#41—524no—
1607#41—521no—
1608#41—521no—
1609#41—521no—
1610#41—524no—
1611C2×Q8—21no—
1612C2×Q8—22no—
1613C2×Q8—41no—
1614C2×Q8—131no—
1615C2×Q8—131no—
1616C2×Q8—261no—
1617C2×Q8—261no—
1618C2×Q8—262no—
1619C2×Q8—262no—
1620C2×Q8—262no—
1621C2×Q8—521no—
1622C2×Q8C23×D1311yescharacteristic
1623C2×Q8C23×D1311yescharacteristic
1624C2×Q8C23×D1311yescharacteristic
1625C2×D4—22no—
1626C2×D4—21no—
1627C2×D4—21no—
1628C2×D4—21no—
1629C2×D4—21no—
1630C2×D4—21no—
1631C2×D4—41no—
1632C2×D4—134no—
1633C2×D4—131no—
1634C2×D4—131no—
1635C2×D4—131no—
1636C2×D4—131no—
1637C2×D4—131no—
1638C2×D4—131no—
1639C2×D4—131no—
1640C2×D4—262no—
1641C2×D4—262no—
1642C2×D4—261no—
1643C2×D4—261no—
1644C2×D4—261no—
1645C2×D4—261no—
1646C2×D4—261no—
1647C2×D4—261no—
1648C2×D4—261no—
1649C2×D4—262no—
1650C2×D4—262no—
1651C2×D4—262no—
1652C2×D4—261no—
1653C2×D4—261no—
1654C2×D4—261no—
1655C2×D4—261no—
1656C2×D4—261no—
1657C2×D4—261no—
1658C2×D4—261no—
1659C2×D4—262no—
1660C2×D4—262no—
1661C2×D4—262no—
1662C2×D4—261no—
1663C2×D4—261no—
1664C2×D4—261no—
1665C2×D4—261no—
1666C2×D4—261no—
1667C2×D4—261no—
1668C2×D4—261no—
1669C2×D4—261no—
1670C2×D4—261no—
1671C2×D4—261no—
1672C2×D4—521no—
1673C2×D4—521no—
1674C2×D4—524no—
1675C2×D4—521no—
1676C2×D4—521no—
1677C2×D4—521no—
1678C2×D4—524no—
1679C2×D4—524no—
1680C2×D4—524no—
1681C2×D4—522no—
1682C2×D4—524no—
1683C2×D4—524no—
1684C2×D4—524no—
1685C2×D4—1042no—
1686C2×D4D4×D1311yescharacteristic
1687C2×D4C23×D1311yescharacteristic
1688C2×D4C23×D1311yescharacteristic
1689C2×D4C23×D1311yescharacteristic
1690C22×C4—21no—
1691C22×C4—21no—
1692C22×C4—21no—
1693C22×C4—21no—
1694C22×C4—131no—
1695C22×C4—131no—
1696C22×C4—131no—
1697C22×C4—131no—
1698C22×C4—131no—
1699C22×C4—131no—
1700C22×C4—131no—
1701C22×C4—131no—
1702C22×C4—131no—
1703C22×C4—131no—
1704C22×C4—131no—
1705C22×C4—261no—
1706C22×C4—262no—
1707C22×C4—262no—
1708C22×C4—262no—
1709C22×C4—262no—
1710C22×C4—261no—
1711C22×C4—261no—
1712C22×C4—261no—
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—524no—
1727C22×C4—524no—
1728C22×C4—524no—
1729C22×C4—1042no—
1730C22×C4C23×D1311yescharacteristic
1731C22×C4C23×D1311yescharacteristic
1732Q16—22no—
1733Q16—41no—
1734Q16—262no—
1735Q16—262no—
1736Q16—262no—
1737Q16—521no—
1738SD16—22no—
1739SD16—22no—
1740SD16—22no—
1741SD16—22no—
1742SD16—134no—
1743SD16—262no—
1744SD16—262no—
1745SD16—262no—
1746SD16—262no—
1747SD16—262no—
1748SD16—262no—
1749SD16—262no—
1750SD16—262no—
1751SD16—521no—
1752SD16—521no—
1753SD16—521no—
1754SD16—521no—
1755SD16D4×D1314yescomplemented
1756D8—22no—
1757D8—41no—
1758D8—134no—
1759D8—134no—
1760D8—262no—
1761D8—262no—
1762D8—262no—
1763D8—262no—
1764D8—262no—
1765D8—262no—
1766D8—262no—
1767D8—521no—
1768M16—134no—
1769M16—262no—
1770M16—262no—
1771M16—262no—
1772M16—262no—
1773M16—262no—
1774M16—262no—
1775M16—262no—
1776C2×C8—22no—
1777C2×C8—22no—
1778C2×C8—131no—
1779C2×C8—131no—
1780C2×C8—131no—
1781C2×C8—131no—
1782C2×C8—262no—
1783C2×C8—262no—
1784C2×C8C23×D1311yescharacteristic
1785C2×C8C23×D1311yescharacteristic
1786C2×C8C23×D1311yescharacteristic
1787C2×C8C23×D1311yescharacteristic
1788C4⋊C4—21no—
1789C4⋊C4—21no—
1790C4⋊C4—21no—
1791C4⋊C4—131no—
1792C4⋊C4—131no—
1793C4⋊C4—131no—
1794C4⋊C4—131no—
1795C4⋊C4—131no—
1796C4⋊C4—261no—
1797C4⋊C4—261no—
1798C4⋊C4—261no—
1799C4⋊C4—261no—
1800C4⋊C4—261no—
1801C4⋊C4—261no—
1802C4⋊C4—261no—
1803C4⋊C4—261no—
1804C4⋊C4—261no—
1805C4⋊C4—261no—
1806C4⋊C4D4×D1311yescharacteristic
1807C4⋊C4C23×D1311yescharacteristic
1808C4⋊C4C23×D1311yescharacteristic
1809C22⋊C4—21no—
1810C22⋊C4—21no—
1811C22⋊C4—21no—
1812C22⋊C4—21no—
1813C22⋊C4—21no—
1814C22⋊C4—21no—
1815C22⋊C4—21no—
1816C22⋊C4—21no—
1817C22⋊C4—21no—
1818C22⋊C4—131no—
1819C22⋊C4—131no—
1820C22⋊C4—131no—
1821C22⋊C4—131no—
1822C22⋊C4—131no—
1823C22⋊C4—131no—
1824C22⋊C4—261no—
1825C22⋊C4—261no—
1826C22⋊C4—261no—
1827C22⋊C4—261no—
1828C22⋊C4—261no—
1829C22⋊C4—261no—
1830C22⋊C4—261no—
1831C22⋊C4—261no—
1832C22⋊C4—261no—
1833C22⋊C4—261no—
1834C22⋊C4—261no—
1835C22⋊C4—261no—
1836C22⋊C4—261no—
1837C22⋊C4—261no—
1838C22⋊C4—261no—
1839C22⋊C4—261no—
1840C22⋊C4—261no—
1841C22⋊C4—261no—
1842C22⋊C4—261no—
1843C22⋊C4—261no—
1844C22⋊C4—261no—
1845C22⋊C4—261no—
1846C22⋊C4—261no—
1847C22⋊C4—261no—
1848C22⋊C4—261no—
1849C22⋊C4—261no—
1850C22⋊C4D4×D1311yescharacteristic
1851C22⋊C4D4×D1311yescharacteristic
1852C42—21no—
1853C42—131no—
1854C42—131no—
1855C42—131no—
1856C42—261no—
1857C42—261no—
1858C42C23×D1311yescharacteristic
1859C13#6106611yescharacteristic, complemented, Sylow
1860C23—21no—
1861C23—21no—
1862C23—21no—
1863C23—42no—
1864C23—42no—
1865C23—81no—
1866C23—131no—
1867C23—131no—
1868C23—131no—
1869C23—262no—
1870C23—264no—
1871C23—262no—
1872C23—262no—
1873C23—261no—
1874C23—261no—
1875C23—261no—
1876C23—261no—
1877C23—521no—
1878C23—521no—
1879C23—521no—
1880C23—522no—
1881C23—522no—
1882C23—522no—
1883C23—522no—
1884C23—522no—
1885C23—522no—
1886C23—522no—
1887C23—522no—
1888C23—522no—
1889C23—522no—
1890C23—522no—
1891C23—522no—
1892C23—522no—
1893C23—522no—
1894C23—522no—
1895C23—1041no—
1896C23—1041no—
1897C23—1041no—
1898C23—1041no—
1899C23—1041no—
1900C23—10416no—
1901C23C2×D4×D1311yescharacteristic
1902C23C2×D4×D1311yescharacteristic
1903Q8—21no—
1904Q8—21no—
1905Q8—21no—
1906Q8—21no—
1907Q8—21no—
1908Q8—42no—
1909Q8—261no—
1910Q8—261no—
1911Q8—261no—
1912Q8—261no—
1913Q8—522no—
1914Q8—522no—
1915Q8C2×D4×D1312yes—
1916D4—22no—
1917D4—21no—
1918D4—21no—
1919D4—21no—
1920D4—21no—
1921D4—21no—
1922D4—42no—
1923D4—42no—
1924D4—42no—
1925D4—42no—
1926D4—81no—
1927D4—132no—
1928D4—132no—
1929D4—264no—
1930D4—264no—
1931D4—262no—
1932D4—261no—
1933D4—261no—
1934D4—261no—
1935D4—261no—
1936D4—261no—
1937D4—261no—
1938D4—521no—
1939D4—522no—
1940D4—522no—
1941D4—522no—
1942D4—522no—
1943D4—522no—
1944D4—522no—
1945D4—522no—
1946D4—522no—
1947D4—521no—
1948D4—522no—
1949D4—522no—
1950D4—522no—
1951D4—522no—
1952D4—522no—
1953D4—522no—
1954D4—522no—
1955D4—522no—
1956D4—1041no—
1957D4—1041no—
1958D4—1041no—
1959D4—1041no—
1960D4—1041no—
1961D4—1041no—
1962D4C2×D4×D1312yes—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—42no—
1973C2×C4—42no—
1974C2×C4—42no—
1975C2×C4—81no—
1976C2×C4—131no—
1977C2×C4—132no—
1978C2×C4—132no—
1979C2×C4—131no—
1980C2×C4—131no—
1981C2×C4—131no—
1982C2×C4—131no—
1983C2×C4—262no—
1984C2×C4—262no—
1985C2×C4—264no—
1986C2×C4—262no—
1987C2×C4—262no—
1988C2×C4—262no—
1989C2×C4—262no—
1990C2×C4—261no—
1991C2×C4—261no—
1992C2×C4—261no—
1993C2×C4—261no—
1994C2×C4—261no—
1995C2×C4—261no—
1996C2×C4—261no—
1997C2×C4—261no—
1998C2×C4—521no—
1999C2×C4—521no—
2000C2×C4—522no—
2001C2×C4—522no—
2002C2×C4—522no—
2003C2×C4—522no—
2004C2×C4—522no—
2005C2×C4—522no—
2006C2×C4—522no—
2007C2×C4—522no—
2008C2×C4—522no—
2009C2×C4—522no—
2010C2×C4—522no—
2011C2×C4—522no—
2012C2×C4—1041no—
2013C2×C4—1041no—
2014C2×C4—1041no—
2015C2×C4—1041no—
2016C2×C4C2×D4×D1311yescharacteristic
2017C2×C4C2×D4×D1311yescharacteristic
2018C2×C4C2×D4×D1311yescharacteristic
2019C2×C4C2×D4×D1311yescharacteristic
2020C2×C4C24×D1311yescharacteristic
2021C8—21no—
2022C8—21no—
2023C8—21no—
2024C8—132no—
2025C8—261no—
2026C8—261no—
2027C8—261no—
2028C8C2×D4×D1312yes—
2029C22—21no—
2030C22—21no—
2031C22—21no—
2032C22—22no—
2033C22—21no—
2034C22—21no—
2035C22—41no—
2036C22—41no—
2037C22—41no—
2038C22—41no—
2039C22—41no—
2040C22—41no—
2041C22—41no—
2042C22—41no—
2043C22—84no—
2044C22—132no—
2045C22—261no—
2046C22—261no—
2047C22—261no—
2048C22—261no—
2049C22—262no—
2050C22—262no—
2051C22—261no—
2052C22—261no—
2053C22—261no—
2054C22—261no—
2055C22—524no—
2056C22—528no—
2057C22—521no—
2058C22—521no—
2059C22—521no—
2060C22—521no—
2061C22—521no—
2062C22—521no—
2063C22—521no—
2064C22—521no—
2065C22—521no—
2066C22—521no—
2067C22—1044no—
2068C22—1044no—
2069C22—1042no—
2070C22—1044no—
2071C22—1044no—
2072C22—1044no—
2073C22—1044no—
2074C22#1171947312yescomplemented
2075C22C22×D4×D1311yescharacteristic
2076C4—21no—
2077C4—21no—
2078C4—22no—
2079C4—21no—
2080C4—21no—
2081C4—41no—
2082C4—41no—
2083C4—41no—
2084C4—41no—
2085C4—132no—
2086C4—261no—
2087C4—261no—
2088C4—261no—
2089C4—261no—
2090C4—521no—
2091C4—521no—
2092C4—521no—
2093C4—521no—
2094C4C22×D4×D1311yescharacteristic
2095C4D13×H(5,𝔽2)11yescharacteristic
2096C2—22no—
2097C2—41no—
2098C2—42no—
2099C2—81no—
2100C2—81no—
2101C2—262no—
2102C2—521no—
2103C2—521no—
2104C2—522no—
2105C2—522no—
2106C2—1041no—
2107C2—1041no—
2108C2D42×D1311yescharacteristic
2109C2C2×#1171947311yescharacteristic
2110C2#1312961411yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3282C2
socleC22×C13C23×D4
hypercenter#3282D13
hypocenterC13#61066
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. C2×#11719473C2semidirect
2. C22×#88168C2semidirect
3. #13128325C2semidirect
4. D13×#546C2semidirect
5. #13126544C2semidirect
6. #13126523C2semidirect
7. #13126517C2semidirect
8. #13126469C2semidirect
9. #13126462C2semidirect
10. #13126445C2semidirect
11. #13126442C2semidirect
12. #13126376C2semidirect
13. #13126369C2semidirect
14. #13126365C2semidirect
15. #13126358C2semidirect
16. #13126346C2semidirect
17. #13126339C2semidirect
18. #13126313C2semidirect
19. #13126309C2semidirect
20. #13125297C2semidirect
21. #13124459C2semidirect
22. #13124448C2semidirect
23. #13124327C2semidirect
24. #13124298C2semidirect
25. #13124095C2semidirect
26. #13124085C2semidirect
27. #13124079C2semidirect
28. #13124060C2semidirect
29. C4×#88168C2semidirect
30. D4×#6094C2semidirect
31. C13×#3282C2semidirect
32. C2×#41×D13C22semidirect
33. C2×#41×D13C22semidirect
35. C22×D4×D13C22semidirect
36. C2×C13×#135C22semidirect
37. C22×C13×SD16C22semidirect
38. C13×#548C22semidirect
39. C13×#546C22semidirect
40. #11719539C22semidirect
41. #11719534C22semidirect
42. C2×#88204C22semidirect
43. C2×#88204C22semidirect
44. Q8×C22⋊D13C22semidirect
45. C22×#6106C22semidirect
47. C22×#6104C22semidirect
49. C2×#88172C22semidirect
50. C2×#88172C22semidirect
51. C2×#88172C22semidirect
52. C2×#88169C22semidirect
53. C2×#88169C22semidirect
57. C2×#88168C22semidirect
58. C2×#88168C22semidirect
59. C2×#88168C22semidirect
60. C2×#88168C22semidirect
61. C2×#88168C22semidirect
62. C2×#88168C22semidirect
63. C2×#88168C22semidirect
64. C2×#88165C22semidirect
65. C2×#88165C22semidirect
66. C2×#88165C22semidirect
67. C2×#88158C22semidirect
68. C22×D104C22semidirect
69. C22×#6094C22semidirect
70. C22×#6094C22semidirect
72. #11719381C22semidirect
73. #11719381C22semidirect
74. D13×#124C22semidirect
76. #11719373C22semidirect
80. #11719336C22semidirect
83. #11719332C22semidirect
84. D13×C22⋊Q8C22semidirect
85. #11719317C22semidirect
88. #11719314C22semidirect
92. D13×#121C22semidirect
95. #11719281C22semidirect
96. C4×#6131C22semidirect
97. #11719259C22semidirect
99. #11719255C22semidirect
100. #11719255C22semidirect
103. C4×D4×D13C22semidirect
106. C13×#495C22semidirect
107. C13×#465C22semidirect
108. C13×#465C22semidirect
109. C13×#464C22semidirect
110. C13×#463C22semidirect
111. C13×#452C22semidirect
112. C13×#451C22semidirect
113. C13×#449C22semidirect
114. C13×#447C22semidirect
115. C4×C13×SD16C22semidirect
116. C8×D4×C13C22semidirect
117. #11718899C22semidirect
118. #11718899C22semidirect
119. #11718889C22semidirect
120. #11718879C22semidirect
121. #11718851C22semidirect
122. #11718848C22semidirect
123. #11718848C22semidirect
124. #11718848C22semidirect
125. #11718846C22semidirect
126. #11718837C22semidirect
127. #11718835C22semidirect
128. #11718835C22semidirect
129. #11718834C22semidirect
130. #11718831C22semidirect
131. #11718828C22semidirect
132. #11718827C22semidirect
133. #11718825C22semidirect
134. #11718823C22semidirect
135. #11718817C22semidirect
136. #11718817C22semidirect
137. #11718817C22semidirect
138. #11718815C22semidirect
139. #11718811C22semidirect
140. #11718777C22semidirect
141. #11718776C22semidirect
142. #11718772C22semidirect
143. #11718772C22semidirect
144. #11718720C22semidirect
145. #11718720C22semidirect
146. #11718718C22semidirect
147. #11718718C22semidirect
148. #11718712C22semidirect
149. #11718709C22semidirect
150. #11718708C22semidirect
151. #11718707C22semidirect
152. #11718702C22semidirect
153. #11718699C22semidirect
154. #11718698C22semidirect
155. #11718697C22semidirect
156. #11718689C22semidirect
157. C4×#6106C22semidirect
158. #11718677C22semidirect
159. C4×#6104C22semidirect
160. D4×#1055C22semidirect
161. #11718530C22semidirect
162. #11718529C22semidirect
163. #11718526C22semidirect
164. #11718522C22semidirect
165. #11718505C22semidirect
166. #11718505C22semidirect
167. #11718499C22semidirect
168. #11718498C22semidirect
169. #11718480C22semidirect
170. #11718479C22semidirect
171. #11718478C22semidirect
172. #11718477C22semidirect
173. #11718473C22semidirect
174. #11718472C22semidirect
175. #11718471C22semidirect
176. #11718471C22semidirect
177. #11718467C22semidirect
178. #11718464C22semidirect
179. #11718464C22semidirect
180. #11718463C22semidirect
181. #11718448C22semidirect
182. #11718447C22semidirect
183. #11718446C22semidirect
184. #11718443C22semidirect
185. #11718442C22semidirect
186. #11718441C22semidirect
187. #11718437C22semidirect
188. #11718437C22semidirect
189. #11718434C22semidirect
190. #11718432C22semidirect
191. #11718431C22semidirect
192. #11718431C22semidirect
193. #11718395C22semidirect
194. #11718395C22semidirect
195. #11718392C22semidirect
196. #11718392C22semidirect
197. #11718391C22semidirect
198. #11718391C22semidirect
199. #11718387C22semidirect
200. #11718387C22semidirect
201. #11718357C22semidirect
202. C4×D104C22semidirect
203. #11718349C22semidirect
204. C4×#6094C22semidirect
207. C2×C13×#41C23semidirect
225. C2×Q8×D13C23semidirect
243. C2×D4×D13C23semidirect
247. C2×#6127C23semidirect
258. C2×C13×Q16C23semidirect
259. C2×C13×Q16C23semidirect
265. C2×C13×SD16C23semidirect
269. C22×C8×C13C23semidirect
272. C13×#124C23semidirect
276. C13×C22⋊Q8C23semidirect
282. C4×Q8×C13C23semidirect
294. #88200C23semidirect
295. Q8×Dic13C23semidirect
297. #88198C23semidirect
298. C2×#6107C23semidirect
299. C2×#6107C23semidirect
300. C2×#6107C23semidirect
306. C2×#6106C23semidirect
307. C2×#6106C23semidirect
309. #88194C23semidirect
330. C2×#6105C23semidirect
341. #88184C23semidirect
354. C22×#1055C23semidirect
368. #88168D4semidirect
372. C2×Dic52C23semidirect
381. C2×#6095C23semidirect
382. C2×#6095C23semidirect
391. C2×#6094C23semidirect
392. C2×#6094C23semidirect
400. #88149C23semidirect
410. #88147C23semidirect
463. #88129C23semidirect
468. C4×D52C23semidirect
471. C13×#106C23semidirect
472. C13×C4⋊C8C23semidirect
473. C13×#103C23semidirect
474. C13×#103C23semidirect
475. C13×#103C23semidirect
478. C13×#102C23semidirect
480. C13×C22⋊C8C23semidirect
481. C4×C8×C13C23semidirect
482. #88075C23semidirect
483. #88075C23semidirect
484. #88075C23semidirect
487. #88072C23semidirect
489. C22⋊#1055C23semidirect
492. #88061C23semidirect
493. #88061C23semidirect
496. #88060C23semidirect
497. #88060C23semidirect
498. #88058C23semidirect
499. #88056C23semidirect
500. #88056C23semidirect
501. #88055C23semidirect
502. #88055C23semidirect
503. #88054C23semidirect
504. #88054C23semidirect
505. #88050C23semidirect
506. #88050C23semidirect
509. #88049C23semidirect
510. #88049C23semidirect
511. #88048C23semidirect
512. #88047C23semidirect
513. C4⋊#1055C23semidirect
514. C4×#1055C23semidirect
617. D4×D13C2×D4semidirect
684. C13×SD16C2×D4semidirect
729. #6106C2×D4semidirect
738. #6104C2×D4semidirect
792. D104C2×D4semidirect
804. #6094C2×D4semidirect
810. #3282D13semidirect
1031. C2×#135C2×D13semidirect
1033. C22×SD16C2×D13semidirect
1041. #548C2×D13semidirect
1059. #546C2×D13semidirect
1086. #495C2×D13semidirect
1101. #465C2×D13semidirect
1102. #465C2×D13semidirect
1106. #464C2×D13semidirect
1114. #463C2×D13semidirect
1126. #452C2×D13semidirect
1128. #451C2×D13semidirect
1142. #449C2×D13semidirect
1150. #447C2×D13semidirect
1156. C4×SD16C2×D13semidirect
1166. C8×D4C2×D13semidirect
1193. C22×C13#575semidirect
1268. C2×#41C22×D13semidirect
1322. C2×Q16C22×D13semidirect
1323. C2×Q16C22×D13semidirect
1343. C2×SD16C22×D13semidirect
1371. C22×C8C22×D13semidirect
1385. #124C22×D13semidirect
1413. C22⋊Q8C22×D13semidirect
1457. C4×Q8C22×D13semidirect
1514. #106C22×D13semidirect
1518. C4⋊C8C22×D13semidirect
1526. #103C22×D13semidirect
1527. #103C22×D13semidirect
1528. #103C22×D13semidirect
1542. #102C22×D13semidirect
1550. C22⋊C8C22×D13semidirect
1554. C4×C8C22×D13semidirect
1755. SD16D4×D13semidirect
1859. C13#61066semidirect
2074. C22#11719473semidirect

Maximal subgroups

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

subgroupindex
C2×#117194732
C22×#881682
#131283252
D13×#5462
#131265442
#131265232
#131265172
#131264692
#131264622
#131264452
#131264422
#131263762
#131263692
#131263652
#131263582
#131263462
#131263392
#131263132
#131263092
#131252972
#131244592
#131244482
#131243272
#131242982
#131240952
#131240852
#131240792
#131240602
C4×#881682
D4×#60942
C13×#32822
#6106613