Finite Group Databasebeta

← #16748506

Subgroups — #16748506

Order 3328.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129127C211yesmaximal, characteristic, complemented
2#13128466C211yesmaximal, characteristic, complemented
3#13127068C211yesmaximal, characteristic, complemented
4#13127058C211yesmaximal, characteristic, complemented
5#13126972C211yesmaximal, characteristic, complemented
6#13126924C211yesmaximal, characteristic, complemented
7#13126872C211yesmaximal, characteristic, complemented
8#13126850C211yesmaximal, characteristic, complemented
9#13126679C211yesmaximal, characteristic, complemented
10#13126662C211yesmaximal, characteristic, complemented
11#13126542C211yesmaximal, characteristic, complemented
12#13126525C211yesmaximal, characteristic, complemented
13#13126430C211yesmaximal, characteristic, complemented
14#13126364C211yesmaximal, characteristic, complemented
15#13126340C211yesmaximal, characteristic, complemented
16#13126337C211yesmaximal, characteristic, complemented
17#13126332C211yesmaximal, characteristic, complemented
18#13125923C211yesmaximal, characteristic, complemented
19#13125905C211yesmaximal, characteristic, complemented
20#13125706C211yesmaximal, characteristic, complemented
21#13125683C211yesmaximal, characteristic, complemented
22#13125667C211yesmaximal, characteristic, complemented
23#13125628C211yesmaximal, characteristic, complemented
24#13125085C211yesmaximal, characteristic, complemented
25#13125017C211yesmaximal, characteristic, complemented
26#13124138C211yesmaximal, characteristic, complemented
27#13124112C211yesmaximal, characteristic, complemented
28#13124061C211yesmaximal, characteristic, complemented
29D13×#450C211yesmaximal, characteristic, complemented
30#13123880C211yesmaximal, characteristic, complemented
31C13×#3275C211yesmaximal, characteristic, complemented
32C2×#88256C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C2×C13×#137C2211yescharacteristic, complemented
35C2×C13×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C13×#548C2211yescharacteristic, complemented
37C13×#546C2211yescharacteristic
38#11719534C2211yescharacteristic
39#11719533C2211yescharacteristic, complemented
40#11719529C2211yescharacteristic, complemented
41C2×#88203C2211yescharacteristic, complemented
42#11719521C2211yescharacteristic, complemented
43Q8×C22⋊D13C2211yescharacteristic, complemented
44C22×#6106C2211yescharacteristic, complemented
45D4×C22⋊D13C2211yescharacteristic
46C2×#88170C2211yescharacteristic, complemented
47C2×SD16×D13C2211yescharacteristic, complemented
48C2×SD16×D13C2211yescharacteristic, complemented
49C2×#88165C2211yescharacteristic, complemented
50#11719387C2211yescharacteristic, complemented
51#11719383—21no—
52#11719382C2211yescharacteristic, complemented
53#11719381C2211yescharacteristic
54#11719379C2211yescharacteristic
55#11719377—21no—
56#11719359—21no—
57#11719358—21no—
58#11719345—21no—
59#11719344C2211yescharacteristic, complemented
60#11719341—21no—
61#11719335C2211yescharacteristic
62#11719332C2211yescharacteristic
63D13×C22⋊Q8C2211yescharacteristic, complemented
64#11719326—21no—
65#11719319C2211yescharacteristic, complemented
66#11719318—21no—
67#11719314—21no—
68#11719314C2211yescharacteristic
69#11719313C2211yescharacteristic, complemented
70#11719312C2211yescharacteristic
71#11719310—21no—
72#11719295—21no—
73D13×#120—21no—
74#11719288C2211yescharacteristic, complemented
75#11719284C2211yescharacteristic, complemented
76#11719269—21no—
77#11719263—21no—
78D4×D52C2211yescharacteristic
79D4×D52C2211yescharacteristic
80#11719252C2211yescharacteristic
81#11719250C2211yescharacteristic
82#11719247C2211yescharacteristic, complemented
83#11719195—21no—
84C2×#88136—21no—
85C13×#495C2211yescharacteristic, complemented
86C13×#470C2211yescharacteristic, complemented
87C13×#469C2211yescharacteristic, complemented
88C13×#464C2211yescharacteristic, complemented
89C13×#463C2211yescharacteristic, complemented
90C13×#452C2211yescharacteristic, complemented
91C13×#450C2211yescharacteristic, complemented
92C13×#449C2211yescharacteristic, complemented
93C13×#448C2211yescharacteristic, complemented
94C4×C13×SD16C2211yescharacteristic, complemented
95C13×#436C2211yescharacteristic, complemented
96#11718900C2211yescharacteristic, complemented
97#11718899C2211yescharacteristic, complemented
98#11718894C2211yescharacteristic, complemented
99#11718888C2211yescharacteristic, complemented
100#11718879C2211yescharacteristic, complemented
101#11718876C2211yescharacteristic, complemented
102#11718851C2211yescharacteristic, complemented
103#11718849C2211yescharacteristic, complemented
104#11718848C2211yescharacteristic, complemented
105#11718848C2211yescharacteristic, complemented
106#11718848C2211yescharacteristic, complemented
107#11718848C2211yescharacteristic, complemented
108#11718847C2211yescharacteristic, complemented
109#11718846C2211yescharacteristic, complemented
110#11718836C2211yescharacteristic, complemented
111#11718835C2211yescharacteristic, complemented
112#11718833C2211yescharacteristic, complemented
113#11718832C2211yescharacteristic, complemented
114#11718832C2211yescharacteristic, complemented
115#11718830C2211yescharacteristic
116#11718830C2211yescharacteristic
117#11718830C2211yescharacteristic, complemented
118#11718830C2211yescharacteristic, complemented
119#11718830C2211yescharacteristic, complemented
120#11718830C2211yescharacteristic, complemented
121#11718830C2211yescharacteristic, complemented
122#11718830C2211yescharacteristic, complemented
123#11718826C2211yescharacteristic, complemented
124#11718825C2211yescharacteristic, complemented
125#11718824C2211yescharacteristic, complemented
126#11718823C2211yescharacteristic, complemented
127#11718819C2211yescharacteristic, complemented
128#11718817C2211yescharacteristic
129#11718817C2211yescharacteristic, complemented
130#11718817C2211yescharacteristic, complemented
131#11718817C2211yescharacteristic, complemented
132#11718811C2211yescharacteristic, complemented
133D8×Dic13C2211yescharacteristic, complemented
134#11718795C2211yescharacteristic, complemented
135#11718795C2211yescharacteristic, complemented
136#11718792C2211yescharacteristic, complemented
137#11718792C2211yescharacteristic, complemented
138#11718790C2211yescharacteristic, complemented
139#11718789C2211yescharacteristic, complemented
140#11718788C2211yescharacteristic, complemented
141#11718787C2211yescharacteristic, complemented
142#11718719C2211yescharacteristic, complemented
143#11718718C2211yescharacteristic, complemented
144#11718716C2211yescharacteristic, complemented
145#11718715C2211yescharacteristic, complemented
146#11718713C2211yescharacteristic, complemented
147#11718710C2211yescharacteristic, complemented
148#11718707C2211yescharacteristic, complemented
149#11718706C2211yescharacteristic, complemented
150#11718702C2211yescharacteristic, complemented
151#11718699C2211yescharacteristic, complemented
152#11718697C2211yescharacteristic, complemented
153#11718696C2211yescharacteristic, complemented
154#11718688C2211yescharacteristic, complemented
155#11718687C2211yescharacteristic, complemented
156#11718679C2211yescharacteristic, complemented
157#11718672C2211yescharacteristic, complemented
158#11718669C2211yescharacteristic, complemented
159#11718532C2211yescharacteristic, complemented
160#11718528C2211yescharacteristic, complemented
161#11718524C2211yescharacteristic, complemented
162#11718524C2211yescharacteristic, complemented
163#11718509C2211yescharacteristic, complemented
164#11718507C2211yescharacteristic, complemented
165#11718501C2211yescharacteristic, complemented
166#11718497C2211yescharacteristic, complemented
167#11718479C2211yescharacteristic, complemented
168#11718476C2211yescharacteristic, complemented
169#11718475C2211yescharacteristic, complemented
170#11718473C2211yescharacteristic, complemented
171#11718471C2211yescharacteristic, complemented
172#11718470C2211yescharacteristic, complemented
173#11718468C2211yescharacteristic, complemented
174#11718468C2211yescharacteristic, complemented
175#11718467C2211yescharacteristic, complemented
176#11718464C2211yescharacteristic, complemented
177#11718461C2211yescharacteristic, complemented
178#11718449C2211yescharacteristic, complemented
179#11718446C2211yescharacteristic, complemented
180#11718445C2211yescharacteristic, complemented
181#11718442C2211yescharacteristic, complemented
182#11718437C2211yescharacteristic
183#11718437C2211yescharacteristic, complemented
184#11718436C2211yescharacteristic, complemented
185#11718435C2211yescharacteristic, complemented
186D13×#102C2211yescharacteristic, complemented
187D13×#102C2211yescharacteristic, complemented
188D13×#102C2211yescharacteristic, complemented
189#11718425C2211yescharacteristic, complemented
190#11718424C2211yescharacteristic, complemented
191#11718398C2211yescharacteristic, complemented
192#11718398C2211yescharacteristic, complemented
193#11718392C2211yescharacteristic, complemented
194#11718392C2211yescharacteristic, complemented
195#11718389C2211yescharacteristic, complemented
196#11718388C2211yescharacteristic, complemented
197#11718386C2211yescharacteristic, complemented
198D13×C22⋊C8C2211yescharacteristic, complemented
199#11718355C2211yescharacteristic, complemented
200C4×#6095C2211yescharacteristic, complemented
201#11718351C2211yescharacteristic, complemented
202C8×D52C2211yescharacteristic, complemented
203C24×D13—21no—
204C2×C13×#41C2311yescharacteristic
205C2×C13×#41C2311yescharacteristic
206C22×Q8×C13C2311yescharacteristic, complemented
207C22×D4×C13C2311yescharacteristic
208C22×C22⋊D13—21no—
209C22×C22⋊D13—21no—
210#88256—42no—
211#88256—42no—
212C2×#6131C2311yescharacteristic
213C2×#6131C2311yescharacteristic
214C2×Q8×D13C2311yescharacteristic
215C2×#6129C2311yescharacteristic, complemented
216C2×D4×D13—21no—
217C2×D4×D13—21no—
218C2×D4×D13—21no—
219C2×D4×D13—21no—
220C2×D4×D13—21no—
221C2×D4×D13—21no—
222C2×D4×D13—42no—
223C2×D4×D13—42no—
224C2×D4×D13C2311yescharacteristic
225C2×D4×D13C2311yescharacteristic
226C2×D4×D13C2311yescharacteristic
227C2×D4×D13C2311yescharacteristic
228C2×D4×D13C2311yescharacteristic
229C2×#6127—21no—
230C2×#6127C2311yescharacteristic
231C22×D52—21no—
232C22×D52—21no—
233C22×D52C2311yescharacteristic
234C22×D52C2311yescharacteristic
235C22×C4×D13C2311yescharacteristic
236C13×#137—42no—
237C13×AGL(1,ℤ/8)—42no—
238C2×C13×Q16C2311yescharacteristic, complemented
239C2×C13×Q16C2311yescharacteristic, complemented
240C2×C13×SD16C2311yescharacteristic
241C2×C13×SD16C2311yescharacteristic
242C2×C13×SD16C2311yescharacteristic
243C2×C13×SD16C2311yescharacteristic
244C2×C13×SD16C2311yescharacteristic, complemented
245C2×C13×D8C2311yescharacteristic
246C2×C13×D8C2311yescharacteristic
247C2×C13×M16C2311yescharacteristic
248C2×C13×M16C2311yescharacteristic, complemented
249C13×#124—21no—
250C13×#124C2311yescharacteristic
251C13×#124C2311yescharacteristic, complemented
252C13×#123—21no—
253C13×C22⋊Q8—21no—
254C13×C22⋊Q8C2311yescharacteristic
255C13×C22⋊Q8C2311yescharacteristic
256C13×#121—21no—
257C13×#121—21no—
258C13×#121C2311yescharacteristic
259C13×#121C2311yescharacteristic, complemented
260C13×#120—21no—
261C4×Q8×C13C2311yescharacteristic, complemented
262C4×D4×C13—21no—
263C4×D4×C13C2311yescharacteristic
264C4×D4×C13C2311yescharacteristic
265C2×C13×C22⋊C4—21no—
266#88207—21no—
267#88203—42no—
268#88201—21no—
269#88201C2311yescharacteristic
270#88200—21no—
271#88200C2311yescharacteristic
272#88200C2311yescharacteristic
273#88200C2311yescharacteristic
274#88200C2311yescharacteristic
275#88200C2311yescharacteristic, complemented
276#88200C2311yescharacteristic, complemented
277Q8×Dic13C2311yescharacteristic, complemented
278#88198—21no—
279#88198—21no—
280#88198C2311yescharacteristic, complemented
281C2×#6107C2311yescharacteristic, complemented
282C2×#6106—42no—
283C2×#6106C2311yescharacteristic
284C2×#6106C2311yescharacteristic
285C2×#6106C2311yescharacteristic
286C2×#6106C2311yescharacteristic
287C2×#6106C2311yescharacteristic, complemented
288C2×#6106C2311yescharacteristic, complemented
289#88194—21no—
290#88194C2311yescharacteristic
291#88193—21no—
292#88193—21no—
293#88193—21no—
294#88193—21no—
295#88193D411yescharacteristic
296#88192—21no—
297#88192—21no—
298#88192C2311yescharacteristic
299#88192C2311yescharacteristic
300#88192C2311yescharacteristic
301#88191—21no—
302#88191—21no—
303#88191—21no—
304#88191—21no—
305#88191—21no—
306#88191D411yescharacteristic
307#88190—21no—
308#88189—21no—
309#88189—21no—
310#88189—21no—
311D4×Dic13C2311yescharacteristic
312D4×Dic13C2311yescharacteristic, complemented
313C2×#6105C2311yescharacteristic
314C2×#6105C2311yescharacteristic
315C2×#6104C2311yescharacteristic
316C2×#6104C2311yescharacteristic
317C2×#6104C2311yescharacteristic, complemented
318#88184—21no—
319#88184C2311yescharacteristic
320#88184C2311yescharacteristic
321#88183—21no—
322#88183—21no—
323#88183—21no—
324#88183—21no—
325C4×C22⋊D13—21no—
326C4×C22⋊D13—21no—
327C4×C22⋊D13—21no—
328C4×C22⋊D13—21no—
329C4×C22⋊D13C2311yescharacteristic
330C4×C22⋊D13C2311yescharacteristic
331C2×#6103—21no—
332C2×#6103—21no—
333#88180C2311yescharacteristic
334#88180C2311yescharacteristic, complemented
335#88178—21no—
336#88178C2311yescharacteristic
337#88178C2311yescharacteristic, complemented
338C2×#6101—21no—
339C2×#6099C2311yescharacteristic
340C22×#1055C2311yescharacteristic, complemented
341#88170—42no—
342SD16×D13—42no—
343SD16×D13—42no—
344#88165—42no—
345C2×#6095C2311yescharacteristic
346C2×#6095C2311yescharacteristic
347C2×#6095C2311yescharacteristic, complemented
348C2×#6094C2311yescharacteristic, complemented
349C2×C8×D13C2311yescharacteristic
350C2×C8×D13C2311yescharacteristic
351C2×C8×D13C2311yescharacteristic, complemented
352#88152—21no—
353#88151C2311yescharacteristic
354#88150—21no—
355#88150—21no—
356#88150—21no—
357#88150D411yescharacteristic
358#88149—21no—
359#88149—21no—
360#88149C2311yescharacteristic
361#88149C2311yescharacteristic
362#88148—21no—
363#88148—21no—
364#88148D411yescharacteristic
365#88147—21no—
366#88147C2311yescharacteristic
367#88146—21no—
368#88146C2311yescharacteristic
369C4⋊C4×D13—21no—
370C4⋊C4×D13C2311yescharacteristic
371C4⋊C4×D13C2311yescharacteristic, complemented
372#88144C2311yescharacteristic, complemented
373#88143—21no—
374#88143—21no—
375#88141—21no—
376#88140—21no—
377#88139—21no—
378#88139—21no—
379#88139—21no—
380#88138—21no—
381#88138—21no—
382#88138—21no—
383#88138—21no—
384#88138—21no—
385#88138—21no—
386#88138D411yescharacteristic
387#88137—21no—
388#88137—21no—
389#88137D411yescharacteristic
390#88136—21no—
391#88136—21no—
392#88136—21no—
393#88136—21no—
394#88136—21no—
395#88136—21no—
396#88136—21no—
397#88136—21no—
398#88136—21no—
399#88136—21no—
400#88136—21no—
401#88136D411yescharacteristic
402#88135—21no—
403#88135—21no—
404#88135—21no—
405#88135—21no—
406C22⋊C4×D13—21no—
407C22⋊C4×D13—21no—
408C22⋊C4×D13—21no—
409C22⋊C4×D13—21no—
410#88133—21no—
411#88133—21no—
412#88133—21no—
413#88133—21no—
414#88133—21no—
415#88132—21no—
416#88132—21no—
417#88132—21no—
418#88132—21no—
419#88132D411yescharacteristic
420#88130—21no—
421#88128C2311yescharacteristic
422C4×D52—21no—
423C4×D52C2311yescharacteristic
424C4×D52C2311yescharacteristic
425#88126C2311yescharacteristic
426#88124—21no—
427#88124—21no—
428#88123C2311yescharacteristic, complemented
429C4×Dic26C2311yescharacteristic, complemented
430C13×#106C2311yescharacteristic, complemented
431C13×C4⋊C8C2311yescharacteristic, complemented
432C13×#103C2311yescharacteristic, complemented
433C13×#103C2311yescharacteristic, complemented
434C13×#103C2311yescharacteristic, complemented
435C13×#102C2311yescharacteristic
436C13×#102C2311yescharacteristic
437C13×#102C2311yescharacteristic, complemented
438C13×C22⋊C8C2311yescharacteristic
439C13×C22⋊C8C2311yescharacteristic, complemented
440C4×C8×C13C2311yescharacteristic, complemented
441#88075C2311yescharacteristic, complemented
442#88075C2311yescharacteristic, complemented
443#88075C2311yescharacteristic, complemented
444#88075C2311yescharacteristic, complemented
445#88075C2311yescharacteristic, complemented
446#88072C2311yescharacteristic
447#88072C2311yescharacteristic
448#88072C2311yescharacteristic
449#88072C2311yescharacteristic
450#88072C2311yescharacteristic
451#88072C2311yescharacteristic
452#88072C2311yescharacteristic, complemented
453C22⋊#1055C2311yescharacteristic
454C22⋊#1055C2311yescharacteristic, complemented
455#88061C2311yescharacteristic
456#88061C2311yescharacteristic
457#88061C2311yescharacteristic
458#88061C2311yescharacteristic
459#88061C2311yescharacteristic
460#88061C2311yescharacteristic
461#88061C2311yescharacteristic, complemented
462#88061C2311yescharacteristic, complemented
463#88061C2311yescharacteristic, complemented
464#88060C2311yescharacteristic
465#88060C2311yescharacteristic
466#88060C2311yescharacteristic
467#88060C2311yescharacteristic
468#88060C2311yescharacteristic
469#88060C2311yescharacteristic
470#88060C2311yescharacteristic, complemented
471#88060C2311yescharacteristic, complemented
472#88058C2311yescharacteristic, complemented
473#88058C2311yescharacteristic, complemented
474#88057C2311yescharacteristic, complemented
475#88056C2311yescharacteristic, complemented
476#88055C2311yescharacteristic, complemented
477#88054C2311yescharacteristic, complemented
478#88054C2311yescharacteristic, complemented
479C8×Dic13C2311yescharacteristic, complemented
480#88050C2311yescharacteristic, complemented
481#88049C2311yescharacteristic
482#88049C2311yescharacteristic
483#88049C2311yescharacteristic, complemented
484#88048C2311yescharacteristic, complemented
485#88048C2311yescharacteristic, complemented
486#88047C2311yescharacteristic, complemented
487#88047C2311yescharacteristic, complemented
488C4⋊#1055C2311yescharacteristic, complemented
489#88043C2311yescharacteristic, complemented
490#61610—131nomaximal, Sylow
491C24×C13—21no—
492C23×D13—21no—
493C23×D13—21no—
494C23×D13—21no—
495C23×D13—21no—
496C23×D13—21no—
497C23×D13—21no—
498C23×D13—21no—
499C23×D13—44no—
500C23×D13—82no—
501C23×D13—82no—
502C23×D13C2×D411yescharacteristic
503C13×#41—22no—
504C13×#41—41no—
505C13×#41—41no—
506C13×#41—41no—
507C2×Q8×C13—21no—
508C2×Q8×C13—41no—
509C2×Q8×C13—41no—
510C2×Q8×C13C2411yescharacteristic
511C2×Q8×C13C2411yescharacteristic
512C2×Q8×C13C2411yescharacteristic
513C2×D4×C13—22no—
514C2×D4×C13—21no—
515C2×D4×C13—21no—
516C2×D4×C13—21no—
517C2×D4×C13—21no—
518C2×D4×C13—21no—
519C2×D4×C13—41no—
520C2×D4×C13C2×D411yescharacteristic
521C2×D4×C13C2411yescharacteristic
522C2×D4×C13C2411yescharacteristic
523C2×D4×C13C2411yescharacteristic
524C22×C4×C13—21no—
525C22×C4×C13—21no—
526C22×C4×C13—21no—
527C22×C4×C13—21no—
528C22×C4×C13C2411yescharacteristic
529C22×C4×C13C2411yescharacteristic
530C2×C22⋊D13—21no—
531C2×C22⋊D13—21no—
532C2×C22⋊D13—21no—
533C2×C22⋊D13—21no—
534C2×C22⋊D13—21no—
535C2×C22⋊D13—21no—
536C2×C22⋊D13—21no—
537C2×C22⋊D13—21no—
538C2×C22⋊D13—21no—
539C2×C22⋊D13—21no—
540C2×C22⋊D13—21no—
541C2×C22⋊D13—21no—
542C2×C22⋊D13—21no—
543C2×C22⋊D13—44no—
544C2×C22⋊D13—82no—
545C2×C22⋊D13C2×D411yescharacteristic
546C2×C22⋊D13C2×D411yescharacteristic
547C2×C22⋊D13C2×D411yescharacteristic
548C2×C22⋊D13C2×D411yescharacteristic
549C22×Dic13—21no—
550C22×Dic13—21no—
551C22×Dic13—21no—
552C22×Dic13C2×D411yescharacteristic
553#6131—22no—
554#6131—41no—
555#6131—41no—
556#6131—41no—
557Q8×D13—41no—
558Q8×D13—41no—
559#6129—41no—
560#6129—41no—
561D4×D13—22no—
562D4×D13—22no—
563D4×D13—22no—
564D4×D13—22no—
565D4×D13—22no—
566D4×D13—41no—
567D4×D13—41no—
568D4×D13—41no—
569D4×D13—41no—
570D4×D13—41no—
571D4×D13—44no—
572D4×D13—44no—
573D4×D13—44no—
574D4×D13—44no—
575D4×D13—82no—
576D4×D13—82no—
577#6127—41no—
578#6127—41no—
579#6127—44no—
580C2×D52—22no—
581C2×D52—22no—
582C2×D52—21no—
583C2×D52—21no—
584C2×D52—21no—
585C2×D52—21no—
586C2×D52—21no—
587C2×D52—21no—
588C2×D52—21no—
589C2×D52—21no—
590C2×D52—41no—
591C2×D52—41no—
592C2×D52—44no—
593C2×D52—82no—
594C2×D52C2×D411yescharacteristic
595C2×D52C2×D411yescharacteristic
596C2×D52C2411yescharacteristic
597C2×D52C2411yescharacteristic
598C2×D52C2411yescharacteristic
599C2×C4×D13—21no—
600C2×C4×D13—21no—
601C2×C4×D13—21no—
602C2×C4×D13—21no—
603C2×C4×D13—21no—
604C2×C4×D13—21no—
605C2×C4×D13—21no—
606C2×C4×D13—41no—
607C2×C4×D13—41no—
608C2×C4×D13C2×D411yescharacteristic
609C2×C4×D13C2×D411yescharacteristic
610C2×C4×D13C2411yescharacteristic
611C2×C4×D13C2411yescharacteristic
612C2×C4×D13C2411yescharacteristic
613C2×Dic26—21no—
614C2×Dic26—21no—
615C2×Dic26C2×D411yescharacteristic
616C2×Dic26C2411yescharacteristic
617C13×Q16—41no—
618C13×Q16—41no—
619C13×SD16—22no—
620C13×SD16—22no—
621C13×SD16—41no—
622C13×SD16—41no—
623C13×SD16—41no—
624C13×D8—22no—
625C13×D8—41no—
626C13×M16—41no—
627C13×M16—41no—
628C2×C8×C13C2411yescharacteristic
629C2×C8×C13C2411yescharacteristic
630C2×C8×C13C2411yescharacteristic
631C2×C8×C13C2411yescharacteristic
632C13×C4⋊C4—21no—
633C13×C4⋊C4—21no—
634C13×C4⋊C4—21no—
635C13×C4⋊C4C2×D411yescharacteristic
636C13×C4⋊C4C2411yescharacteristic
637C13×C4⋊C4C2411yescharacteristic
638C13×C22⋊C4—21no—
639C13×C22⋊C4—21no—
640C13×C22⋊C4—21no—
641C13×C22⋊C4—21no—
642C13×C22⋊C4—21no—
643C13×C22⋊C4—21no—
644C13×C22⋊C4—21no—
645C13×C22⋊C4—21no—
646C13×C22⋊C4—21no—
647C13×C22⋊C4C2×D411yescharacteristic
648C13×C22⋊C4C2×D411yescharacteristic
649C42×C13—21no—
650C42×C13C2411yescharacteristic
651C22⋊Dic13—21no—
652C22⋊Dic13—21no—
653C22⋊Dic13—21no—
654C22⋊Dic13—21no—
655C22⋊Dic13—21no—
656C22⋊Dic13—21no—
657C22⋊Dic13—21no—
658C22⋊Dic13—21no—
659C22⋊Dic13—21no—
660C22⋊Dic13C2×D411yescharacteristic
661C22⋊Dic13C2×D411yescharacteristic
662#6107—41no—
663#6106—22no—
664#6106—22no—
665#6106—41no—
666#6106—41no—
667#6106—41no—
668#6106—41no—
669#6105—22no—
670#6105—41no—
671#6104—22no—
672#6104—41no—
673#6104—41no—
674#6103—21no—
675#6103—21no—
676#6103—21no—
677#6103—21no—
678#6103—21no—
679#6103—21no—
680#6103—21no—
681#6103—21no—
682#6103—21no—
683#6103—21no—
684#6103—21no—
685#6103—21no—
686#6103—21no—
687#6103—21no—
688#6103—21no—
689#6103—21no—
690#6103C2×D411yescharacteristic
691#6103C2×D411yescharacteristic
692#6103C2×D411yescharacteristic
693#6103C2×D411yescharacteristic
694#6103C2×D411yescharacteristic
695#6103C2×D411yescharacteristic
696C4⋊Dic13—21no—
697C4⋊Dic13—21no—
698C4⋊Dic13—21no—
699C4⋊Dic13—21no—
700C4⋊Dic13C2×D411yescharacteristic
701C4⋊Dic13C2411yescharacteristic
702C4⋊Dic13C2411yescharacteristic
703C4⋊Dic13C2411yescharacteristic
704C4⋊Dic13C2411yescharacteristic
705#6101—21no—
706#6101—21no—
707#6101—21no—
708#6101—21no—
709#6101—21no—
710#6101—21no—
711#6101—21no—
712#6101—21no—
713#6101—21no—
714#6101—21no—
715#6101—21no—
716#6101—21no—
717#6101—21no—
718#6101—21no—
719#6101C2×D411yescharacteristic
720#6101C2×D411yescharacteristic
721#6101C2×D411yescharacteristic
722#6101C2×D411yescharacteristic
723C4×Dic13—21no—
724C4×Dic13—21no—
725C4×Dic13—21no—
726C4×Dic13—21no—
727C4×Dic13—21no—
728C4×Dic13C2411yescharacteristic
729#6099—41no—
730C2×#1055—41no—
731C2×#1055C2411yescharacteristic
732C2×#1055C2411yescharacteristic
733C2×#1055C2411yescharacteristic
734C2×#1055C2411yescharacteristic
735#6095—22no—
736#6095—41no—
737#6095—41no—
738#6094—41no—
739C8×D13—41no—
740C8×D13—41no—
741C8×D13—41no—
742#3541—131no—
743#3484—131no—
744#3324—131no—
745#3323—131no—
746#3318—131no—
747#3314—131no—
748#3311—131no—
749#3310—131no—
750#3297—131no—
751#3295—131no—
752#3282—131no—
753D4×SD16—131no—
754#3275D1311yescharacteristic, complemented
755#3272—131no—
756#3267—131no—
757#3266—131no—
758#3265—131no—
759#3265—131no—
760#3224—131no—
761#3222—131no—
762#3200—131no—
763#3198—131no—
764#3196—131no—
765#3191—131no—
766#3123—131no—
767#3118—131no—
768#3012—131no—
769#3009—131no—
770#3003—131no—
771C2×#450—131no—
772#2976—131no—
773C23×C13—21no—
774C23×C13—21no—
775C23×C13—21no—
776C23×C13—42no—
777C23×C13—42no—
778C23×C13—81no—
779C23×C13C22×D411yescharacteristic
780C23×C13C22×D411yescharacteristic
781C22×D13—21no—
782C22×D13—24no—
783C22×D13—22no—
784C22×D13—21no—
785C22×D13—21no—
786C22×D13—41no—
787C22×D13—41no—
788C22×D13—42no—
789C22×D13—42no—
790C22×D13—42no—
791C22×D13—42no—
792C22×D13—42no—
793C22×D13—42no—
794C22×D13—42no—
795C22×D13—42no—
796C22×D13—42no—
797C22×D13—81no—
798C22×D13—81no—
799C22×D13—81no—
800C22×D13—81no—
801C22×D13—81no—
802C22×D13—81no—
803C22×D13—81no—
804C22×D13—81no—
805C22×D13—81no—
806C22×D13—81no—
807C22×D13—81no—
808C22×D13—816no—
809C22×D13C22×D411yescharacteristic
810C22×D13C22×D411yescharacteristic
811C22×D13C22×D411yescharacteristic
812Q8×C13—21no—
813Q8×C13—21no—
814Q8×C13—21no—
815Q8×C13—21no—
816Q8×C13—21no—
817Q8×C13—21no—
818Q8×C13—81no—
819D4×C13—21no—
820D4×C13—21no—
821D4×C13—21no—
822D4×C13—21no—
823D4×C13—21no—
824D4×C13—41no—
825D4×C13—42no—
826D4×C13—42no—
827D4×C13—81no—
828D4×C13—81no—
829D4×C13—81no—
830D4×C13H(5,𝔽2)12yes—
831C2×C4×C13—21no—
832C2×C4×C13—21no—
833C2×C4×C13—21no—
834C2×C4×C13—21no—
835C2×C4×C13—21no—
836C2×C4×C13—21no—
837C2×C4×C13—21no—
838C2×C4×C13—21no—
839C2×C4×C13—21no—
840C2×C4×C13—42no—
841C2×C4×C13—81no—
842C2×C4×C13—81no—
843C2×C4×C13—81no—
844C2×C4×C13C22×D411yescharacteristic
845C2×C4×C13C22×D411yescharacteristic
846C2×C4×C13C22×D411yescharacteristic
847C2×C4×C13C22×D411yescharacteristic
848C2×C4×C13C2511yescharacteristic
849C22⋊D13—24no—
850C22⋊D13—22no—
851C22⋊D13—41no—
852C22⋊D13—41no—
853C22⋊D13—41no—
854C22⋊D13—42no—
855C22⋊D13—42no—
856C22⋊D13—42no—
857C22⋊D13—42no—
858C22⋊D13—42no—
859C22⋊D13—42no—
860C22⋊D13—81no—
861C22⋊D13—81no—
862C22⋊D13—81no—
863C22⋊D13—81no—
864C22⋊D13—81no—
865C22⋊D13—81no—
866C2×Dic13—21no—
867C2×Dic13—21no—
868C2×Dic13—21no—
869C2×Dic13—21no—
870C2×Dic13—21no—
871C2×Dic13—41no—
872C2×Dic13—81no—
873C2×Dic13—81no—
874C2×Dic13—81no—
875C2×Dic13C22×D411yescharacteristic
876C2×Dic13C22×D411yescharacteristic
877C2×Dic13C22×D411yescharacteristic
878C2×Dic13C22×D411yescharacteristic
879C2×Dic13C22×D411yescharacteristic
880D52—22no—
881D52—21no—
882D52—21no—
883D52—21no—
884D52—21no—
885D52—21no—
886D52—41no—
887D52—42no—
888D52—42no—
889D52—42no—
890D52—42no—
891D52—42no—
892D52—81no—
893D52—81no—
894D52—81no—
895D52H(5,𝔽2)12yes—
896C4×D13—21no—
897C4×D13—21no—
898C4×D13—21no—
899C4×D13—21no—
900C4×D13—21no—
901C4×D13—21no—
902C4×D13—41no—
903C4×D13—41no—
904C4×D13—42no—
905C4×D13—42no—
906C4×D13—81no—
907C4×D13—81no—
908C4×D13—81no—
909C4×D13—81no—
910C4×D13—81no—
911Dic26—21no—
912Dic26—21no—
913Dic26—41no—
914Dic26—81no—
915Dic26—81no—
916C8×C13—21no—
917C8×C13—21no—
918C8×C13—21no—
919C8×C13—21no—
920#1055—21no—
921#1055—21no—
922#1055—21no—
923#1055—21no—
924C2×H(5,𝔽2)—131no—
925C23×D4—131no—
926C2×#137C2×D1311yescharacteristic, complemented
927C2×AGL(1,ℤ/8)—131no—
928C2×AGL(1,ℤ/8)—131no—
929C2×AGL(1,ℤ/8)C2×D1311yescharacteristic, complemented
930C2×#135—131no—
931C22×SD16—131no—
932C22×SD16—131no—
933C22×SD16—131no—
934#563—261no—
935#562—261no—
936#556—131no—
937#554—131no—
938#554—261no—
939#553—131no—
940#553—261no—
941#552—131no—
942D4×Q8—131no—
943#548—131no—
944#548C2×D1311yescharacteristic, complemented
945#547—131no—
946#546—131no—
947#546—131no—
948#546—131no—
949#546—261no—
950#546—261no—
951#546C2×D1311yescharacteristic
952D42—131no—
953D42—131no—
954D42—131no—
955D42—131no—
956D42—261no—
957D42—261no—
958#542—131no—
959#542—261no—
960#541—131no—
961#539—261no—
962#538—261no—
963#538—261no—
964#537—131no—
965#536—131no—
966#535—131no—
967#535—131no—
968#534—261no—
969#534—261no—
970#525—131no—
971#525—131no—
972#525—131no—
973C2×C22⋊Q8—131no—
974C2×#120—261no—
975C2×#120—261no—
976#518—131no—
977#497—131no—
978#496—131no—
979#495C2×D1311yescharacteristic, complemented
980#492—131no—
981#490—131no—
982#489—131no—
983#488—131no—
984#486—131no—
985#485—131no—
986#485—131no—
987#485—131no—
988#485—131no—
989#484—131no—
990#482—131no—
991#482—131no—
992#482—131no—
993#482—131no—
994#481—131no—
995#481—131no—
996#480—131no—
997#478—131no—
998#478—131no—
999#476—131no—
1000#474—131no—
1001#470—131no—
1002#470C2×D1311yescharacteristic, complemented
1003#469C2×D1311yescharacteristic, complemented
1004#468—131no—
1005#468—131no—
1006#468—131no—
1007#468—131no—
1008#468—131no—
1009#467—131no—
1010#466—131no—
1011#466—131no—
1012#465—131no—
1013#465—131no—
1014#465—131no—
1015#465—131no—
1016#465—131no—
1017#464—131no—
1018#464—131no—
1019#464C2×D1311yescharacteristic, complemented
1020#463—131no—
1021#463—131no—
1022#463C2×D1311yescharacteristic, complemented
1023#461—131no—
1024#461—131no—
1025#460—131no—
1026#460—131no—
1027#460—131no—
1028#459—131no—
1029#452—131no—
1030#452—131no—
1031#452—131no—
1032#452—131no—
1033#452—131no—
1034#452—131no—
1035#452C2×D1311yescharacteristic, complemented
1036#451—131no—
1037#450—131no—
1038#450—131no—
1039#450—131no—
1040#450—131no—
1041#450—131no—
1042#450—131no—
1043#450—131no—
1044#450—131no—
1045#450—131no—
1046#450—131no—
1047#450—131no—
1048#450—131no—
1049#450—131no—
1050#450—131no—
1051#450C2×D1311yescharacteristic, complemented
1052#449—131no—
1053#449—131no—
1054#449—131no—
1055#449—131no—
1056#449C2×D1311yescharacteristic, complemented
1057#448—131no—
1058#448—131no—
1059#448C2×D1311yescharacteristic, complemented
1060#447—131no—
1061#447—131no—
1062#447—131no—
1063#447—131no—
1064#447—131no—
1065#442—131no—
1066#440—131no—
1067#440—131no—
1068#440—131no—
1069C4×SD16—131no—
1070C4×SD16—131no—
1071C4×SD16C2×D1311yescharacteristic, complemented
1072C4×D8—131no—
1073#436—131no—
1074#436C2×D1311yescharacteristic, complemented
1075#435—131no—
1076#435—131no—
1077#435—131no—
1078#435—131no—
1079C8×D4—131no—
1080C8×D4—131no—
1081#433—131no—
1082#433—131no—
1083#418—131no—
1084#418—131no—
1085#418—131no—
1086#417—131no—
1087#416—131no—
1088C2×#102—131no—
1089C2×#102—131no—
1090C2×#102—131no—
1091#408—131no—
1092#408—131no—
1093#407—131no—
1094C2×C22⋊C8—131no—
1095C22×C13—21no—
1096C22×C13—21no—
1097C22×C13—21no—
1098C22×C13—22no—
1099C22×C13—21no—
1100C22×C13—21no—
1101C22×C13—21no—
1102C22×C13—41no—
1103C22×C13—41no—
1104C22×C13—41no—
1105C22×C13—41no—
1106C22×C13—41no—
1107C22×C13—41no—
1108C22×C13—41no—
1109C22×C13—41no—
1110C22×C13—84no—
1111C22×C13C23×D411yescharacteristic
1112C2×D13—21no—
1113C2×D13—21no—
1114C2×D13—21no—
1115C2×D13—21no—
1116C2×D13—21no—
1117C2×D13—21no—
1118C2×D13—22no—
1119C2×D13—21no—
1120C2×D13—21no—
1121C2×D13—44no—
1122C2×D13—41no—
1123C2×D13—41no—
1124C2×D13—41no—
1125C2×D13—41no—
1126C2×D13—41no—
1127C2×D13—41no—
1128C2×D13—41no—
1129C2×D13—41no—
1130C2×D13—84no—
1131C2×D13—84no—
1132C2×D13—84no—
1133C2×D13—84no—
1134C2×D13—84no—
1135C2×D13—162no—
1136C2×D13—162no—
1137C2×D13#57712yes—
1138C4×C13—21no—
1139C4×C13—21no—
1140C4×C13—21no—
1141C4×C13—21no—
1142C4×C13—41no—
1143C4×C13—41no—
1144C4×C13—41no—
1145C4×C13—41no—
1146C4×C13—41no—
1147C4×C13C2×H(5,𝔽2)11yescharacteristic
1148C4×C13C2×H(5,𝔽2)11yescharacteristic
1149Dic13—21no—
1150Dic13—21no—
1151Dic13—21no—
1152Dic13—21no—
1153Dic13—21no—
1154Dic13—41no—
1155Dic13—41no—
1156Dic13—41no—
1157Dic13—41no—
1158Dic13—41no—
1159C25—261no—
1160H(5,𝔽2)—522no—
1161H(5,𝔽2)—522no—
1162C2×#41—131no—
1163C2×#41—131no—
1164C2×#41—131no—
1165C2×#41—131no—
1166C2×#41—261no—
1167C2×#41C22×D1311yescharacteristic
1168C2×#41C22×D1311yescharacteristic
1169C22×Q8—131no—
1170C22×Q8C22×D1311yescharacteristic, complemented
1171C22×D4—131no—
1172C22×D4—131no—
1173C22×D4—131no—
1174C22×D4—131no—
1175C22×D4—131no—
1176C22×D4—131no—
1177C22×D4—131no—
1178C22×D4—261no—
1179C22×D4—261no—
1180C22×D4—261no—
1181C22×D4—261no—
1182C22×D4—261no—
1183C22×D4—261no—
1184C22×D4—261no—
1185C22×D4—261no—
1186C22×D4—261no—
1187C22×D4—261no—
1188C22×D4—522no—
1189C22×D4—522no—
1190C22×D4C22×D1311yescharacteristic
1191C23×C4—131no—
1192#137—42no—
1193AGL(1,ℤ/8)—42no—
1194AGL(1,ℤ/8)—522no—
1195AGL(1,ℤ/8)—522no—
1196#135—522no—
1197C2×Q16—131no—
1198C2×Q16C22×D1311yescharacteristic, complemented
1199C2×Q16C22×D1311yescharacteristic, complemented
1200C2×SD16—131no—
1201C2×SD16—131no—
1202C2×SD16—131no—
1203C2×SD16—131no—
1204C2×SD16—131no—
1205C2×SD16—131no—
1206C2×SD16—131no—
1207C2×SD16—131no—
1208C2×SD16—131no—
1209C2×SD16—131no—
1210C2×SD16—131no—
1211C2×SD16—522no—
1212C2×SD16—522no—
1213C2×SD16—522no—
1214C2×SD16C22×D1311yescharacteristic
1215C2×SD16C22×D1311yescharacteristic
1216C2×SD16C22×D1311yescharacteristic
1217C2×SD16C22×D1311yescharacteristic
1218C2×SD16C22×D1311yescharacteristic, complemented
1219C2×D8—131no—
1220C2×D8—131no—
1221C2×D8—131no—
1222C2×D8C22×D1311yescharacteristic
1223C2×D8C22×D1311yescharacteristic
1224C2×M16—131no—
1225C2×M16—131no—
1226C2×M16C22×D1311yescharacteristic
1227C2×M16C22×D1311yescharacteristic, complemented
1228C22×C8—131no—
1229C22×C8—131no—
1230C22×C8—131no—
1231C22×C8—131no—
1232C4⋊Q8—131no—
1233C4⋊Q8—131no—
1234C4⋊Q8—261no—
1235C4⋊Q8—261no—
1236#127—131no—
1237#127—131no—
1238#127—261no—
1239#126—261no—
1240#126—261no—
1241#126—261no—
1242#126—261no—
1243#126—261no—
1244#126—261no—
1245#126—261no—
1246#125—131no—
1247#125—261no—
1248#125—261no—
1249#125—261no—
1250#125—261no—
1251#124—21no—
1252#124—131no—
1253#124—261no—
1254#124—261no—
1255#124—261no—
1256#124—261no—
1257#124—261no—
1258#124C22×D1311yescharacteristic
1259#124C22×D1311yescharacteristic, complemented
1260#123—21no—
1261#123—131no—
1262#123—131no—
1263#123—261no—
1264#123—261no—
1265#123—261no—
1266#123—261no—
1267#123—261no—
1268#123—261no—
1269#123—261no—
1270#123—261no—
1271#123—261no—
1272#123—261no—
1273#123—261no—
1274#123—261no—
1275C22⋊Q8—21no—
1276C22⋊Q8—131no—
1277C22⋊Q8—131no—
1278C22⋊Q8—131no—
1279C22⋊Q8—131no—
1280C22⋊Q8—131no—
1281C22⋊Q8—131no—
1282C22⋊Q8—131no—
1283C22⋊Q8—131no—
1284C22⋊Q8—131no—
1285C22⋊Q8—131no—
1286C22⋊Q8—131no—
1287C22⋊Q8—261no—
1288C22⋊Q8—261no—
1289C22⋊Q8—261no—
1290C22⋊Q8—261no—
1291C22⋊Q8—261no—
1292C22⋊Q8—261no—
1293C22⋊Q8—261no—
1294C22⋊Q8—261no—
1295C22⋊Q8—261no—
1296C22⋊Q8C22×D1311yescharacteristic
1297C22⋊Q8C22×D1311yescharacteristic
1298#121—21no—
1299#121—21no—
1300#121—131no—
1301#121—131no—
1302#121—131no—
1303#121—131no—
1304#121—131no—
1305#121—131no—
1306#121—131no—
1307#121—131no—
1308#121—131no—
1309#121—261no—
1310#121—261no—
1311#121—261no—
1312#121—261no—
1313#121—261no—
1314#121—261no—
1315#121—261no—
1316#121—261no—
1317#121—261no—
1318#121—261no—
1319#121—261no—
1320#121—261no—
1321#121—261no—
1322#121—261no—
1323#121—261no—
1324#121C22×D1311yescharacteristic
1325#121C22×D1311yescharacteristic, complemented
1326#120—21no—
1327#120—131no—
1328#120—131no—
1329#120—261no—
1330#120—261no—
1331#120—261no—
1332#120—261no—
1333#120—261no—
1334#120—261no—
1335#120—261no—
1336#120—261no—
1337#120—261no—
1338#120—261no—
1339#120—261no—
1340#120—261no—
1341#120—261no—
1342#120—261no—
1343#120—261no—
1344#120—261no—
1345#120—261no—
1346C4×Q8—131no—
1347C4×Q8—131no—
1348C4×Q8—261no—
1349C4×Q8C22×D1311yescharacteristic, complemented
1350C4×D4—21no—
1351C4×D4—131no—
1352C4×D4—131no—
1353C4×D4—131no—
1354C4×D4—131no—
1355C4×D4—131no—
1356C4×D4—131no—
1357C4×D4—131no—
1358C4×D4—261no—
1359C4×D4—261no—
1360C4×D4—261no—
1361C4×D4—261no—
1362C4×D4—261no—
1363C4×D4—261no—
1364C4×D4—261no—
1365C4×D4—261no—
1366C4×D4—261no—
1367C4×D4—261no—
1368C4×D4C22×D1311yescharacteristic
1369C4×D4C22×D1311yescharacteristic
1370#117—131no—
1371#117—131no—
1372#117—131no—
1373#117—131no—
1374#117—261no—
1375C2×C4⋊C4—131no—
1376C2×C4⋊C4—131no—
1377C2×C4⋊C4—261no—
1378C2×C4⋊C4—261no—
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—261no—
1381C2×C22⋊C4—261no—
1382C2×C22⋊C4—261no—
1383C2×C22⋊C4—261no—
1384C2×C22⋊C4—261no—
1385C2×C22⋊C4—261no—
1386#107—131no—
1387#107—131no—
1388#107—131no—
1389#107—131no—
1390#106—131no—
1391#106—131no—
1392#106—131no—
1393#106C22×D1311yescharacteristic, complemented
1394C4⋊C8—131no—
1395C4⋊C8—131no—
1396C4⋊C8—131no—
1397C4⋊C8C22×D1311yescharacteristic, complemented
1398#103—131no—
1399#103—131no—
1400#103—131no—
1401#103—131no—
1402#103—131no—
1403#103—131no—
1404#103—131no—
1405#103C22×D1311yescharacteristic, complemented
1406#103C22×D1311yescharacteristic, complemented
1407#103C22×D1311yescharacteristic, complemented
1408#102—131no—
1409#102—131no—
1410#102—131no—
1411#102—131no—
1412#102—131no—
1413#102—131no—
1414#102—131no—
1415#102—131no—
1416#102—131no—
1417#102—131no—
1418#102—131no—
1419#102—131no—
1420#102—131no—
1421#102—131no—
1422#102—131no—
1423#102—131no—
1424#102—131no—
1425#102—131no—
1426#102—131no—
1427#102C22×D1311yescharacteristic
1428#102C22×D1311yescharacteristic
1429#102C22×D1311yescharacteristic, complemented
1430C22⋊C8—131no—
1431C22⋊C8—131no—
1432C22⋊C8—131no—
1433C22⋊C8—131no—
1434C22⋊C8—131no—
1435C22⋊C8—131no—
1436C22⋊C8—131no—
1437C22⋊C8—131no—
1438C22⋊C8—131no—
1439C22⋊C8—131no—
1440C22⋊C8C22×D1311yescharacteristic
1441C22⋊C8C22×D1311yescharacteristic, complemented
1442#97—131no—
1443#97—131no—
1444C4×C8—131no—
1445C4×C8C22×D1311yescharacteristic, complemented
1446C2×C13—41no—
1447C2×C13—42no—
1448C2×C13—41no—
1449C2×C13—81no—
1450C2×C13—81no—
1451C2×C13#348411yescharacteristic
1452C2×C13C2×#57711yescharacteristic
1453C2×C13#358511yescharacteristic
1454D13—22no—
1455D13—41no—
1456D13—41no—
1457D13—42no—
1458D13—81no—
1459D13—81no—
1460C24—21no—
1461C24—131no—
1462C24—261no—
1463C24—261no—
1464C24—261no—
1465C24—261no—
1466C24—261no—
1467C24—261no—
1468C24—261no—
1469C24—524no—
1470C24—1042no—
1471C24—1042no—
1472#41—22no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—262no—
1477#41—521no—
1478#41—521no—
1479#41—524no—
1480#41—521no—
1481#41—521no—
1482#41—521no—
1483#41—521no—
1484#41—521no—
1485C2×Q8—21no—
1486C2×Q8—41no—
1487C2×Q8—41no—
1488C2×Q8—131no—
1489C2×Q8—131no—
1490C2×Q8—261no—
1491C2×Q8—261no—
1492C2×Q8—521no—
1493C2×Q8—521no—
1494C2×Q8C23×D1311yescharacteristic
1495C2×Q8C23×D1311yescharacteristic
1496C2×Q8C23×D1311yescharacteristic
1497C2×D4—22no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—41no—
1504C2×D4—131no—
1505C2×D4—131no—
1506C2×D4—131no—
1507C2×D4—131no—
1508C2×D4—131no—
1509C2×D4—131no—
1510C2×D4—131no—
1511C2×D4—131no—
1512C2×D4—131no—
1513C2×D4—262no—
1514C2×D4—262no—
1515C2×D4—261no—
1516C2×D4—261no—
1517C2×D4—261no—
1518C2×D4—261no—
1519C2×D4—261no—
1520C2×D4—261no—
1521C2×D4—261no—
1522C2×D4—261no—
1523C2×D4—261no—
1524C2×D4—261no—
1525C2×D4—261no—
1526C2×D4—262no—
1527C2×D4—262no—
1528C2×D4—262no—
1529C2×D4—262no—
1530C2×D4—262no—
1531C2×D4—261no—
1532C2×D4—261no—
1533C2×D4—261no—
1534C2×D4—261no—
1535C2×D4—261no—
1536C2×D4—261no—
1537C2×D4—261no—
1538C2×D4—261no—
1539C2×D4—261no—
1540C2×D4—261no—
1541C2×D4—521no—
1542C2×D4—521no—
1543C2×D4—524no—
1544C2×D4—521no—
1545C2×D4—521no—
1546C2×D4—521no—
1547C2×D4—521no—
1548C2×D4—521no—
1549C2×D4—524no—
1550C2×D4—524no—
1551C2×D4—524no—
1552C2×D4—524no—
1553C2×D4—524no—
1554C2×D4—1042no—
1555C2×D4—1042no—
1556C2×D4—1042no—
1557C2×D4—1042no—
1558C2×D4D4×D1311yescharacteristic
1559C2×D4C23×D1311yescharacteristic
1560C2×D4C23×D1311yescharacteristic
1561C2×D4C23×D1311yescharacteristic
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—131no—
1567C22×C4—131no—
1568C22×C4—131no—
1569C22×C4—131no—
1570C22×C4—131no—
1571C22×C4—131no—
1572C22×C4—261no—
1573C22×C4—261no—
1574C22×C4—261no—
1575C22×C4—261no—
1576C22×C4—261no—
1577C22×C4—261no—
1578C22×C4—261no—
1579C22×C4—261no—
1580C22×C4—261no—
1581C22×C4—261no—
1582C22×C4—521no—
1583C22×C4—521no—
1584C22×C4C23×D1311yescharacteristic
1585C22×C4C23×D1311yescharacteristic
1586Q16—41no—
1587Q16—41no—
1588Q16—521no—
1589SD16—22no—
1590SD16—22no—
1591SD16—41no—
1592SD16—41no—
1593SD16—41no—
1594SD16—262no—
1595SD16—262no—
1596SD16—262no—
1597SD16—262no—
1598SD16—521no—
1599SD16—521no—
1600SD16—521no—
1601SD16—521no—
1602SD16—521no—
1603SD16—521no—
1604SD16—521no—
1605D8—22no—
1606D8—41no—
1607D8—262no—
1608D8—521no—
1609D8—521no—
1610M16—41no—
1611M16—41no—
1612M16—521no—
1613M16—521no—
1614C2×C8—131no—
1615C2×C8—131no—
1616C2×C8—131no—
1617C2×C8—131no—
1618C2×C8—521no—
1619C2×C8—521no—
1620C2×C8—521no—
1621C2×C8—521no—
1622C2×C8C23×D1311yescharacteristic
1623C2×C8C23×D1311yescharacteristic
1624C2×C8C23×D1311yescharacteristic
1625C2×C8C23×D1311yescharacteristic
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—131no—
1630C4⋊C4—131no—
1631C4⋊C4—131no—
1632C4⋊C4—131no—
1633C4⋊C4—131no—
1634C4⋊C4—131no—
1635C4⋊C4—131no—
1636C4⋊C4—131no—
1637C4⋊C4—131no—
1638C4⋊C4—261no—
1639C4⋊C4—261no—
1640C4⋊C4—261no—
1641C4⋊C4—261no—
1642C4⋊C4—261no—
1643C4⋊C4—261no—
1644C4⋊C4—261no—
1645C4⋊C4—261no—
1646C4⋊C4—261no—
1647C4⋊C4—261no—
1648C4⋊C4—261no—
1649C4⋊C4—261no—
1650C4⋊C4—261no—
1651C4⋊C4—261no—
1652C4⋊C4—261no—
1653C4⋊C4—261no—
1654C4⋊C4—261no—
1655C4⋊C4—261no—
1656C4⋊C4D4×D1311yescharacteristic
1657C4⋊C4C23×D1311yescharacteristic
1658C4⋊C4C23×D1311yescharacteristic
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—131no—
1669C22⋊C4—131no—
1670C22⋊C4—131no—
1671C22⋊C4—131no—
1672C22⋊C4—131no—
1673C22⋊C4—131no—
1674C22⋊C4—131no—
1675C22⋊C4—131no—
1676C22⋊C4—261no—
1677C22⋊C4—261no—
1678C22⋊C4—261no—
1679C22⋊C4—261no—
1680C22⋊C4—261no—
1681C22⋊C4—261no—
1682C22⋊C4—261no—
1683C22⋊C4—261no—
1684C22⋊C4—261no—
1685C22⋊C4—261no—
1686C22⋊C4—261no—
1687C22⋊C4—261no—
1688C22⋊C4—261no—
1689C22⋊C4—261no—
1690C22⋊C4—261no—
1691C22⋊C4—261no—
1692C22⋊C4—261no—
1693C22⋊C4—261no—
1694C22⋊C4—261no—
1695C22⋊C4—261no—
1696C22⋊C4—261no—
1697C22⋊C4—261no—
1698C22⋊C4—261no—
1699C22⋊C4—261no—
1700C22⋊C4—261no—
1701C22⋊C4D4×D1311yescharacteristic
1702C22⋊C4D4×D1311yescharacteristic
1703C42—21no—
1704C42—131no—
1705C42—261no—
1706C42—261no—
1707C42—261no—
1708C42—261no—
1709C42—261no—
1710C42C23×D1311yescharacteristic
1711C13#6161011yescharacteristic, complemented, Sylow
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—42no—
1716C23—42no—
1717C23—81no—
1718C23—131no—
1719C23—131no—
1720C23—131no—
1721C23—262no—
1722C23—264no—
1723C23—261no—
1724C23—261no—
1725C23—261no—
1726C23—521no—
1727C23—521no—
1728C23—522no—
1729C23—522no—
1730C23—522no—
1731C23—522no—
1732C23—522no—
1733C23—522no—
1734C23—522no—
1735C23—522no—
1736C23—522no—
1737C23—1041no—
1738C23—1041no—
1739C23—1041no—
1740C23—1041no—
1741C23—1041no—
1742C23—1041no—
1743C23—1041no—
1744C23—1041no—
1745C23—1041no—
1746C23—1041no—
1747C23—1041no—
1748C23—10416no—
1749C23C2×D4×D1311yescharacteristic
1750C23C2×D4×D1311yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—81no—
1758Q8—261no—
1759Q8—261no—
1760Q8—521no—
1761Q8—1041no—
1762Q8—1041no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—41no—
1769D4—42no—
1770D4—42no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—132no—
1775D4—262no—
1776D4—262no—
1777D4—264no—
1778D4—261no—
1779D4—261no—
1780D4—261no—
1781D4—261no—
1782D4—261no—
1783D4—521no—
1784D4—522no—
1785D4—522no—
1786D4—522no—
1787D4—522no—
1788D4—522no—
1789D4—521no—
1790D4—521no—
1791D4—521no—
1792D4—522no—
1793D4—522no—
1794D4—522no—
1795D4—522no—
1796D4—522no—
1797D4—522no—
1798D4—1041no—
1799D4—1041no—
1800D4—1041no—
1801D4—1041no—
1802D4—1041no—
1803D4—1041no—
1804D4—1041no—
1805D4—1041no—
1806D4—1041no—
1807D4#8825112yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—42no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—81no—
1821C2×C4—131no—
1822C2×C4—131no—
1823C2×C4—131no—
1824C2×C4—131no—
1825C2×C4—131no—
1826C2×C4—261no—
1827C2×C4—261no—
1828C2×C4—261no—
1829C2×C4—261no—
1830C2×C4—261no—
1831C2×C4—261no—
1832C2×C4—261no—
1833C2×C4—261no—
1834C2×C4—261no—
1835C2×C4—261no—
1836C2×C4—261no—
1837C2×C4—521no—
1838C2×C4—521no—
1839C2×C4—522no—
1840C2×C4—522no—
1841C2×C4—521no—
1842C2×C4—1041no—
1843C2×C4—1041no—
1844C2×C4—1041no—
1845C2×C4—1041no—
1846C2×C4—1041no—
1847C2×C4—1041no—
1848C2×C4—1041no—
1849C2×C4—1041no—
1850C2×C4C2×D4×D1311yescharacteristic
1851C2×C4C2×D4×D1311yescharacteristic
1852C2×C4C2×D4×D1311yescharacteristic
1853C2×C4C2×D4×D1311yescharacteristic
1854C2×C4C24×D1311yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—261no—
1860C8—261no—
1861C8—261no—
1862C8—261no—
1863C22—21no—
1864C22—21no—
1865C22—22no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—84no—
1879C22—132no—
1880C22—261no—
1881C22—261no—
1882C22—261no—
1883C22—261no—
1884C22—262no—
1885C22—261no—
1886C22—261no—
1887C22—261no—
1888C22—261no—
1889C22—524no—
1890C22—521no—
1891C22—521no—
1892C22—521no—
1893C22—521no—
1894C22—521no—
1895C22—521no—
1896C22—521no—
1897C22—521no—
1898C22—1044no—
1899C22—1044no—
1900C22—1044no—
1901C22—1044no—
1902C22—1044no—
1903C22—2082no—
1904C22—2082no—
1905C22C22×D4×D1311yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—261no—
1916C4—261no—
1917C4—261no—
1918C4—261no—
1919C4—261no—
1920C4—521no—
1921C4—521no—
1922C4—521no—
1923C4—521no—
1924C4—521no—
1925C4C2×#8825111yescharacteristic
1926C4D13×H(5,𝔽2)11yescharacteristic
1927C2—41no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—262no—
1933C2—521no—
1934C2—521no—
1935C2—522no—
1936C2—1041no—
1937C2—1041no—
1938C2#1312846411yescharacteristic
1939C2D13×#57711yescharacteristic
1940C2#1312961311yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3275C2
socleC22×C13C23×D4
hypercenter#3275D13
hypocenterC13#61610
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #13129127C2semidirect
2. #13128466C2semidirect
3. #13127068C2semidirect
4. #13127058C2semidirect
5. #13126972C2semidirect
6. #13126924C2semidirect
7. #13126872C2semidirect
8. #13126850C2semidirect
9. #13126679C2semidirect
10. #13126662C2semidirect
11. #13126542C2semidirect
12. #13126525C2semidirect
13. #13126430C2semidirect
14. #13126364C2semidirect
15. #13126340C2semidirect
16. #13126337C2semidirect
17. #13126332C2semidirect
18. #13125923C2semidirect
19. #13125905C2semidirect
20. #13125706C2semidirect
21. #13125683C2semidirect
22. #13125667C2semidirect
23. #13125628C2semidirect
24. #13125085C2semidirect
25. #13125017C2semidirect
26. #13124138C2semidirect
27. #13124112C2semidirect
28. #13124061C2semidirect
29. D13×#450C2semidirect
30. #13123880C2semidirect
31. C13×#3275C2semidirect
34. C2×C13×#137C22semidirect
35. C2×C13×AGL(1,ℤ/8)C22semidirect
36. C13×#548C22semidirect
39. #11719533C22semidirect
40. #11719529C22semidirect
41. C2×#88203C22semidirect
42. #11719521C22semidirect
43. Q8×C22⋊D13C22semidirect
44. C22×#6106C22semidirect
46. C2×#88170C22semidirect
47. C2×SD16×D13C22semidirect
48. C2×SD16×D13C22semidirect
49. C2×#88165C22semidirect
50. #11719387C22semidirect
52. #11719382C22semidirect
59. #11719344C22semidirect
63. D13×C22⋊Q8C22semidirect
65. #11719319C22semidirect
69. #11719313C22semidirect
74. #11719288C22semidirect
75. #11719284C22semidirect
82. #11719247C22semidirect
85. C13×#495C22semidirect
86. C13×#470C22semidirect
87. C13×#469C22semidirect
88. C13×#464C22semidirect
89. C13×#463C22semidirect
90. C13×#452C22semidirect
91. C13×#450C22semidirect
92. C13×#449C22semidirect
93. C13×#448C22semidirect
94. C4×C13×SD16C22semidirect
95. C13×#436C22semidirect
96. #11718900C22semidirect
97. #11718899C22semidirect
98. #11718894C22semidirect
99. #11718888C22semidirect
100. #11718879C22semidirect
101. #11718876C22semidirect
102. #11718851C22semidirect
103. #11718849C22semidirect
104. #11718848C22semidirect
105. #11718848C22semidirect
106. #11718848C22semidirect
107. #11718848C22semidirect
108. #11718847C22semidirect
109. #11718846C22semidirect
110. #11718836C22semidirect
111. #11718835C22semidirect
112. #11718833C22semidirect
113. #11718832C22semidirect
114. #11718832C22semidirect
117. #11718830C22semidirect
118. #11718830C22semidirect
119. #11718830C22semidirect
120. #11718830C22semidirect
121. #11718830C22semidirect
122. #11718830C22semidirect
123. #11718826C22semidirect
124. #11718825C22semidirect
125. #11718824C22semidirect
126. #11718823C22semidirect
127. #11718819C22semidirect
129. #11718817C22semidirect
130. #11718817C22semidirect
131. #11718817C22semidirect
132. #11718811C22semidirect
133. D8×Dic13C22semidirect
134. #11718795C22semidirect
135. #11718795C22semidirect
136. #11718792C22semidirect
137. #11718792C22semidirect
138. #11718790C22semidirect
139. #11718789C22semidirect
140. #11718788C22semidirect
141. #11718787C22semidirect
142. #11718719C22semidirect
143. #11718718C22semidirect
144. #11718716C22semidirect
145. #11718715C22semidirect
146. #11718713C22semidirect
147. #11718710C22semidirect
148. #11718707C22semidirect
149. #11718706C22semidirect
150. #11718702C22semidirect
151. #11718699C22semidirect
152. #11718697C22semidirect
153. #11718696C22semidirect
154. #11718688C22semidirect
155. #11718687C22semidirect
156. #11718679C22semidirect
157. #11718672C22semidirect
158. #11718669C22semidirect
159. #11718532C22semidirect
160. #11718528C22semidirect
161. #11718524C22semidirect
162. #11718524C22semidirect
163. #11718509C22semidirect
164. #11718507C22semidirect
165. #11718501C22semidirect
166. #11718497C22semidirect
167. #11718479C22semidirect
168. #11718476C22semidirect
169. #11718475C22semidirect
170. #11718473C22semidirect
171. #11718471C22semidirect
172. #11718470C22semidirect
173. #11718468C22semidirect
174. #11718468C22semidirect
175. #11718467C22semidirect
176. #11718464C22semidirect
177. #11718461C22semidirect
178. #11718449C22semidirect
179. #11718446C22semidirect
180. #11718445C22semidirect
181. #11718442C22semidirect
183. #11718437C22semidirect
184. #11718436C22semidirect
185. #11718435C22semidirect
186. D13×#102C22semidirect
187. D13×#102C22semidirect
188. D13×#102C22semidirect
189. #11718425C22semidirect
190. #11718424C22semidirect
191. #11718398C22semidirect
192. #11718398C22semidirect
193. #11718392C22semidirect
194. #11718392C22semidirect
195. #11718389C22semidirect
196. #11718388C22semidirect
197. #11718386C22semidirect
198. D13×C22⋊C8C22semidirect
199. #11718355C22semidirect
200. C4×#6095C22semidirect
201. #11718351C22semidirect
202. C8×D52C22semidirect
206. C22×Q8×C13C23semidirect
215. C2×#6129C23semidirect
238. C2×C13×Q16C23semidirect
239. C2×C13×Q16C23semidirect
244. C2×C13×SD16C23semidirect
248. C2×C13×M16C23semidirect
251. C13×#124C23semidirect
259. C13×#121C23semidirect
261. C4×Q8×C13C23semidirect
275. #88200C23semidirect
276. #88200C23semidirect
277. Q8×Dic13C23semidirect
280. #88198C23semidirect
281. C2×#6107C23semidirect
287. C2×#6106C23semidirect
288. C2×#6106C23semidirect
312. D4×Dic13C23semidirect
317. C2×#6104C23semidirect
334. #88180C23semidirect
337. #88178C23semidirect
340. C22×#1055C23semidirect
347. C2×#6095C23semidirect
348. C2×#6094C23semidirect
351. C2×C8×D13C23semidirect
371. C4⋊C4×D13C23semidirect
372. #88144C23semidirect
428. #88123C23semidirect
429. C4×Dic26C23semidirect
430. C13×#106C23semidirect
431. C13×C4⋊C8C23semidirect
432. C13×#103C23semidirect
433. C13×#103C23semidirect
434. C13×#103C23semidirect
437. C13×#102C23semidirect
439. C13×C22⋊C8C23semidirect
440. C4×C8×C13C23semidirect
441. #88075C23semidirect
442. #88075C23semidirect
443. #88075C23semidirect
444. #88075C23semidirect
445. #88075C23semidirect
452. #88072C23semidirect
454. C22⋊#1055C23semidirect
461. #88061C23semidirect
462. #88061C23semidirect
463. #88061C23semidirect
470. #88060C23semidirect
471. #88060C23semidirect
472. #88058C23semidirect
473. #88058C23semidirect
474. #88057C23semidirect
475. #88056C23semidirect
476. #88055C23semidirect
477. #88054C23semidirect
478. #88054C23semidirect
479. C8×Dic13C23semidirect
480. #88050C23semidirect
483. #88049C23semidirect
484. #88048C23semidirect
485. #88048C23semidirect
486. #88047C23semidirect
487. #88047C23semidirect
488. C4⋊#1055C23semidirect
489. #88043C23semidirect
754. #3275D13semidirect
926. C2×#137C2×D13semidirect
929. C2×AGL(1,ℤ/8)C2×D13semidirect
944. #548C2×D13semidirect
979. #495C2×D13semidirect
1002. #470C2×D13semidirect
1003. #469C2×D13semidirect
1019. #464C2×D13semidirect
1022. #463C2×D13semidirect
1035. #452C2×D13semidirect
1051. #450C2×D13semidirect
1056. #449C2×D13semidirect
1059. #448C2×D13semidirect
1071. C4×SD16C2×D13semidirect
1074. #436C2×D13semidirect
1170. C22×Q8C22×D13semidirect
1198. C2×Q16C22×D13semidirect
1199. C2×Q16C22×D13semidirect
1218. C2×SD16C22×D13semidirect
1227. C2×M16C22×D13semidirect
1259. #124C22×D13semidirect
1325. #121C22×D13semidirect
1349. C4×Q8C22×D13semidirect
1393. #106C22×D13semidirect
1397. C4⋊C8C22×D13semidirect
1405. #103C22×D13semidirect
1406. #103C22×D13semidirect
1407. #103C22×D13semidirect
1429. #102C22×D13semidirect
1441. C22⋊C8C22×D13semidirect
1445. C4×C8C22×D13semidirect
1711. C13#61610semidirect

Maximal subgroups

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

subgroupindex
#131291272
#131284662
#131270682
#131270582
#131269722
#131269242
#131268722
#131268502
#131266792
#131266622
#131265422
#131265252
#131264302
#131263642
#131263402
#131263372
#131263322
#131259232
#131259052
#131257062
#131256832
#131256672
#131256282
#131250852
#131250172
#131241382
#131241122
#131240612
D13×#4502
#131238802
C13×#32752
#6161013