Finite Group Databasebeta

← #16734434

Subgroups — #16734434

Order 3328.

2222 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128223C211yesmaximal, characteristic, complemented
2D13×#535C211yesmaximal, characteristic, complemented
3#13125933C211yesmaximal, characteristic, complemented
4#13125932C211yesmaximal, characteristic, complemented
5#13125931C211yesmaximal, characteristic, complemented
6#13125930C211yesmaximal, characteristic, complemented
7#13125925C211yesmaximal, characteristic, complemented
8#13125924C211yesmaximal, characteristic, complemented
9#13125923C211yesmaximal, characteristic, complemented
10#13125907C211yesmaximal, characteristic, complemented
11#13125906C211yesmaximal, characteristic, complemented
12#13125905C211yesmaximal, characteristic, complemented
13#13125904C211yesmaximal, characteristic, complemented
14#13125885C211yesmaximal, characteristic, complemented
15#13125884C211yesmaximal, characteristic, complemented
16#13125883C211yesmaximal, characteristic, complemented
17#13125882C211yesmaximal, characteristic, complemented
18#13125297C211yesmaximal, characteristic, complemented
19#13125285C211yesmaximal, characteristic, complemented
20#13125221C211yesmaximal, characteristic, complemented
21#13125207C211yesmaximal, characteristic, complemented
22#13124327C211yesmaximal, characteristic, complemented
23#13124325C211yesmaximal, characteristic, complemented
24#13124313C211yesmaximal, characteristic, complemented
25#13124311C211yesmaximal, characteristic, complemented
26#13124079C211yesmaximal, characteristic, complemented
27#13124074C211yesmaximal, characteristic, complemented
28#13124064C211yesmaximal, characteristic, complemented
29#13124060C211yesmaximal, characteristic, complemented
30#13123470C211yesmaximal, characteristic, complemented
31C13×#3224C211yesmaximal, characteristic, complemented
32C2×#41×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C13×#542C2211yescharacteristic, complemented
35C13×#535C2211yescharacteristic
36#11719535C2211yescharacteristic
37#11719510C2211yescharacteristic
38C2×#88172C2211yescharacteristic, complemented
39C2×#88169C2211yescharacteristic, complemented
40C2×#88168C2211yescharacteristic
41C2×#88168C2211yescharacteristic
42C2×#88168C2211yescharacteristic, complemented
43C2×#88165C2211yescharacteristic
44C2×#88165C2211yescharacteristic
45C2×#88165C2211yescharacteristic, complemented
46#11719438C2211yescharacteristic, complemented
47#11719433C2211yescharacteristic, complemented
48#11719420C2211yescharacteristic
49#11719420C2211yescharacteristic
50D13×#127C2211yescharacteristic
51D13×#127C2211yescharacteristic
52#11719412—21no—
53#11719411—21no—
54#11719387C2211yescharacteristic, complemented
55#11719385—21no—
56#11719383—21no—
57#11719379C2211yescharacteristic
58#11719379C2211yescharacteristic
59D13×#124C2211yescharacteristic
60D13×#124C2211yescharacteristic
61#11719373C2211yescharacteristic, complemented
62#11719362—21no—
63#11719354—21no—
64#11719343—21no—
65#11719332C2211yescharacteristic
66#11719330C2211yescharacteristic, complemented
67#11719329—21no—
68#11719324C2211yescharacteristic, complemented
69#11719312—21no—
70#11719312—21no—
71#11719311C2211yescharacteristic
72D13×#121—21no—
73D13×#121—21no—
74#11719297—21no—
75#11719297—21no—
76D13×#120—21no—
77D13×#120—21no—
78#11719288C2211yescharacteristic, complemented
79C4×#6131C2211yescharacteristic, complemented
80#11719267C2211yescharacteristic, complemented
81C4×#6129C2211yescharacteristic, complemented
82#11719239C2211yescharacteristic, complemented
83#11719230C2211yescharacteristic
84D13×#117C2211yescharacteristic
85C13×#496C2211yescharacteristic, complemented
86C13×#495C2211yescharacteristic, complemented
87C13×#489C2211yescharacteristic, complemented
88C13×#486C2211yescharacteristic, complemented
89C13×#464C2211yescharacteristic, complemented
90C13×#463C2211yescharacteristic, complemented
91C13×#460C2211yescharacteristic, complemented
92C13×#459C2211yescharacteristic, complemented
93C13×#452C2211yescharacteristic, complemented
94C13×#450C2211yescharacteristic, complemented
95C13×#449C2211yescharacteristic, complemented
96C13×#447C2211yescharacteristic, complemented
97C13×#433C2211yescharacteristic, complemented
98#11718900C2211yescharacteristic, complemented
99#11718899C2211yescharacteristic, complemented
100#11718879C2211yescharacteristic, complemented
101#11718878C2211yescharacteristic, complemented
102#11718851C2211yescharacteristic, complemented
103#11718848C2211yescharacteristic, complemented
104#11718846C2211yescharacteristic, complemented
105#11718837C2211yescharacteristic, complemented
106#11718836C2211yescharacteristic, complemented
107#11718836C2211yescharacteristic, complemented
108#11718834C2211yescharacteristic, complemented
109#11718833C2211yescharacteristic, complemented
110#11718830C2211yescharacteristic, complemented
111#11718830C2211yescharacteristic, complemented
112#11718828C2211yescharacteristic, complemented
113#11718827C2211yescharacteristic, complemented
114#11718826C2211yescharacteristic, complemented
115#11718824C2211yescharacteristic, complemented
116#11718824C2211yescharacteristic, complemented
117#11718819C2211yescharacteristic, complemented
118#11718817C2211yescharacteristic, complemented
119#11718817C2211yescharacteristic, complemented
120#11718815C2211yescharacteristic, complemented
121#11718814C2211yescharacteristic, complemented
122#11718812C2211yescharacteristic, complemented
123#11718812C2211yescharacteristic, complemented
124#11718811C2211yescharacteristic, complemented
125#11718811C2211yescharacteristic, complemented
126#11718750C2211yescharacteristic, complemented
127#11718749C2211yescharacteristic, complemented
128#11718736C2211yescharacteristic, complemented
129#11718735C2211yescharacteristic, complemented
130#11718733C2211yescharacteristic, complemented
131#11718731C2211yescharacteristic, complemented
132#11718720C2211yescharacteristic, complemented
133#11718720C2211yescharacteristic, complemented
134#11718719C2211yescharacteristic, complemented
135#11718718C2211yescharacteristic, complemented
136#11718716C2211yescharacteristic, complemented
137#11718715C2211yescharacteristic, complemented
138#11718708C2211yescharacteristic, complemented
139#11718707C2211yescharacteristic, complemented
140#11718698C2211yescharacteristic, complemented
141#11718697C2211yescharacteristic, complemented
142#11718689C2211yescharacteristic, complemented
143#11718688C2211yescharacteristic, complemented
144#11718677C2211yescharacteristic, complemented
145#11718676C2211yescharacteristic, complemented
146#11718661C2211yescharacteristic, complemented
147#11718509C2211yescharacteristic, complemented
148#11718506C2211yescharacteristic, complemented
149#11718505C2211yescharacteristic, complemented
150#11718504C2211yescharacteristic, complemented
151#11718501C2211yescharacteristic, complemented
152#11718501C2211yescharacteristic, complemented
153#11718498C2211yescharacteristic, complemented
154#11718498C2211yescharacteristic, complemented
155#11718480C2211yescharacteristic, complemented
156#11718472C2211yescharacteristic, complemented
157#11718471C2211yescharacteristic, complemented
158#11718463C2211yescharacteristic, complemented
159#11718463C2211yescharacteristic, complemented
160#11718461C2211yescharacteristic, complemented
161#11718461C2211yescharacteristic, complemented
162#11718459C2211yescharacteristic, complemented
163#11718448C2211yescharacteristic, complemented
164#11718447C2211yescharacteristic, complemented
165#11718447C2211yescharacteristic, complemented
166#11718444C2211yescharacteristic, complemented
167#11718442C2211yescharacteristic, complemented
168#11718437C2211yescharacteristic, complemented
169#11718437C2211yescharacteristic, complemented
170#11718434C2211yescharacteristic, complemented
171#11718434C2211yescharacteristic, complemented
172#11718431C2211yescharacteristic
173#11718431C2211yescharacteristic
174#11718431C2211yescharacteristic
175#11718431C2211yescharacteristic
176#11718431C2211yescharacteristic, complemented
177#11718431C2211yescharacteristic, complemented
178#11718429C2211yescharacteristic, complemented
179#11718429C2211yescharacteristic, complemented
180#11718428C2211yescharacteristic, complemented
181#11718425C2211yescharacteristic, complemented
182#11718425C2211yescharacteristic, complemented
183#11718425C2211yescharacteristic, complemented
184#11718425C2211yescharacteristic, complemented
185#11718423C2211yescharacteristic, complemented
186#11718423C2211yescharacteristic, complemented
187#11718395C2211yescharacteristic, complemented
188#11718394C2211yescharacteristic, complemented
189#11718393C2211yescharacteristic, complemented
190#11718392C2211yescharacteristic, complemented
191#11718387C2211yescharacteristic
192#11718387C2211yescharacteristic
193#11718381C2211yescharacteristic, complemented
194#11718381C2211yescharacteristic, complemented
195#11718375C2211yescharacteristic, complemented
196#11718373C2211yescharacteristic, complemented
197#11718370C2211yescharacteristic, complemented
198#11718368C2211yescharacteristic, complemented
199#11718357C2211yescharacteristic, complemented
200#11718355C2211yescharacteristic, complemented
201#11718351C2211yescharacteristic, complemented
202C4×#6094C2211yescharacteristic, complemented
203C24×D13—21no—
204C2×C13×#41C2311yescharacteristic
205C22×D4×C13C2311yescharacteristic
206C22×C22⋊D13—21no—
207#41×D13—42no—
208#41×D13—42no—
209C2×#6131C2311yescharacteristic
210C2×#6131C2311yescharacteristic
211C2×Q8×D13C2311yescharacteristic
212C2×#6129—21no—
213C2×#6129C2311yescharacteristic
214C2×#6129C2311yescharacteristic
215C2×D4×D13—21no—
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×D52C2311yescharacteristic
232C22×C4×D13—21no—
233C22×C4×D13C2311yescharacteristic
234C2×C13×Q16C2311yescharacteristic, complemented
235C2×C13×SD16C2311yescharacteristic
236C2×C13×SD16C2311yescharacteristic
237C2×C13×SD16C2311yescharacteristic, complemented
238C2×C13×SD16C2311yescharacteristic, complemented
239C2×C13×D8C2311yescharacteristic
240C2×C13×D8C2311yescharacteristic
241C2×C13×D8C2311yescharacteristic, complemented
242C13×C4⋊Q8C2311yescharacteristic, complemented
243C13×#127C2311yescharacteristic
244C13×#127C2311yescharacteristic
245C13×#126—21no—
246C13×#124—21no—
247C13×#124C2311yescharacteristic
248C13×#124C2311yescharacteristic
249C13×#124C2311yescharacteristic, complemented
250C13×#123—21no—
251C13×C22⋊Q8—21no—
252C13×C22⋊Q8C2311yescharacteristic
253C13×#121—21no—
254C13×#121—21no—
255C13×#121C2311yescharacteristic
256C13×#120—21no—
257C13×#120—21no—
258C4×Q8×C13C2311yescharacteristic, complemented
259C4×D4×C13C2311yescharacteristic, complemented
260C13×#117C2311yescharacteristic
261#88207—21no—
262#88207—21no—
263#88201—21no—
264#88201C2311yescharacteristic
265#88201C2311yescharacteristic
266#88200—21no—
267#88200—21no—
268#88200C2311yescharacteristic
269Q8×Dic13—21no—
270Q8×Dic13C2311yescharacteristic, complemented
271#88198C2311yescharacteristic, complemented
272C2×#6107C2311yescharacteristic, complemented
273C2×#6107C2311yescharacteristic, complemented
274C2×#6106C2311yescharacteristic
275C2×#6106C2311yescharacteristic
276C2×#6106C2311yescharacteristic, complemented
277C2×#6106C2311yescharacteristic, complemented
278#88194—21no—
279#88194—21no—
280#88194—21no—
281#88194—21no—
282#88194C2311yescharacteristic
283#88194C2311yescharacteristic
284#88194C2311yescharacteristic
285#88194C2311yescharacteristic
286#88194C2311yescharacteristic, complemented
287#88193—21no—
288#88193—21no—
289#88193—21no—
290#88193—21no—
291#88193—21no—
292#88192—21no—
293#88192—21no—
294#88192—21no—
295#88192C2311yescharacteristic
296#88191—21no—
297#88191—21no—
298#88191—21no—
299#88191—21no—
300#88191—21no—
301#88191—21no—
302#88191—21no—
303#88190C2311yescharacteristic
304#88190C2311yescharacteristic
305D4×Dic13—21no—
306D4×Dic13C2311yescharacteristic, complemented
307C2×#6105C2311yescharacteristic
308C2×#6105C2311yescharacteristic
309C2×#6105C2311yescharacteristic, complemented
310C2×#6105C2311yescharacteristic, complemented
311C2×#6104C2311yescharacteristic
312C2×#6104C2311yescharacteristic
313C2×#6104C2311yescharacteristic
314C2×#6104C2311yescharacteristic
315C2×#6104C2311yescharacteristic, complemented
316C2×#6104C2311yescharacteristic, complemented
317#88184—21no—
318#88184—21no—
319#88184—21no—
320#88184C2311yescharacteristic
321#88183—21no—
322C4×C22⋊D13—21no—
323#88180C2311yescharacteristic
324#88178C2311yescharacteristic
325C2×C4×Dic13—21no—
326#88172—42no—
327#88169—42no—
328#88168—42no—
329#88168—42no—
330#88168—42no—
331#88165—42no—
332#88165—42no—
333#88165—42no—
334C2×Dic52C2311yescharacteristic, complemented
335C2×D104C2311yescharacteristic
336C2×D104C2311yescharacteristic
337C2×D104C2311yescharacteristic, complemented
338C2×#6095C2311yescharacteristic
339C2×#6095C2311yescharacteristic
340C2×#6095C2311yescharacteristic, complemented
341C2×#6095C2311yescharacteristic, complemented
342C2×#6094C2311yescharacteristic
343C2×#6094C2311yescharacteristic
344C2×#6094C2311yescharacteristic
345C2×#6094C2311yescharacteristic
346#88152—21no—
347#88152—21no—
348#88152—21no—
349#88151—21no—
350#88151C2311yescharacteristic
351#88150—21no—
352#88149—21no—
353#88149—21no—
354#88149C2311yescharacteristic
355#88148—21no—
356#88148—21no—
357#88147—21no—
358#88147—21no—
359#88147C2311yescharacteristic, complemented
360#88146—21no—
361#88146D411yescharacteristic
362#88146D411yescharacteristic
363#88146C2311yescharacteristic
364#88146C2311yescharacteristic
365C4⋊C4×D13D411yescharacteristic
366C4⋊C4×D13D411yescharacteristic
367#88144—21no—
368#88144C2311yescharacteristic, complemented
369#88144C2311yescharacteristic, complemented
370#88143—21no—
371#88143—21no—
372#88141—21no—
373#88141C2311yescharacteristic, complemented
374#88140—21no—
375#88140—21no—
376#88139—21no—
377#88139—21no—
378#88139—21no—
379#88139—21no—
380#88139—21no—
381#88139—21no—
382#88138—21no—
383#88138—21no—
384#88138—21no—
385#88138—21no—
386#88138—21no—
387#88138—21no—
388#88138—21no—
389#88137—21no—
390#88137—21no—
391#88137—21no—
392#88137—21no—
393#88136—21no—
394#88136—21no—
395#88136—21no—
396#88136—21no—
397#88136—21no—
398#88136—21no—
399#88136—21no—
400#88135—21no—
401#88135—21no—
402#88135—21no—
403#88135—21no—
404#88135—21no—
405C22⋊C4×D13—21no—
406C22⋊C4×D13—21no—
407C22⋊C4×D13—21no—
408C22⋊C4×D13—21no—
409C22⋊C4×D13D411yescharacteristic
410C22⋊C4×D13D411yescharacteristic
411#88133—21no—
412#88133—21no—
413#88133—21no—
414#88132—21no—
415#88131—21no—
416#88131D411yescharacteristic
417#88131D411yescharacteristic
418#88130—21no—
419#88129C2311yescharacteristic
420#88129C2311yescharacteristic
421#88129C2311yescharacteristic, complemented
422#88128C2311yescharacteristic
423#88128C2311yescharacteristic
424C4×D52—21no—
425C4×D52C2311yescharacteristic, complemented
426#88126C2311yescharacteristic
427#88126C2311yescharacteristic
428C42×D13—21no—
429C42×D13C2311yescharacteristic
430C42×D13C2311yescharacteristic
431#88124—21no—
432#88123C2311yescharacteristic, complemented
433C4×Dic26C2311yescharacteristic, complemented
434C13×C4⋊C8C2311yescharacteristic, complemented
435C13×C4⋊C8C2311yescharacteristic, complemented
436C13×#103C2311yescharacteristic, complemented
437C13×#103C2311yescharacteristic, complemented
438C13×#102C2311yescharacteristic
439C13×#102C2311yescharacteristic
440C13×#102C2311yescharacteristic
441C13×#102C2311yescharacteristic
442C13×#102C2311yescharacteristic, complemented
443C13×#102C2311yescharacteristic, complemented
444C13×C22⋊C8C2311yescharacteristic
445C13×C22⋊C8C2311yescharacteristic
446C13×#97C2311yescharacteristic, complemented
447C4×C8×C13C2311yescharacteristic, complemented
448#88075C2311yescharacteristic, complemented
449#88075C2311yescharacteristic, complemented
450#88072C2311yescharacteristic
451#88072C2311yescharacteristic
452#88072C2311yescharacteristic
453#88072C2311yescharacteristic
454#88072C2311yescharacteristic, complemented
455#88072C2311yescharacteristic, complemented
456C22⋊#1055C2311yescharacteristic
457C22⋊#1055C2311yescharacteristic
458#88061C2311yescharacteristic
459#88061C2311yescharacteristic
460#88061C2311yescharacteristic
461#88061C2311yescharacteristic
462#88061C2311yescharacteristic, complemented
463#88061C2311yescharacteristic, complemented
464#88060C2311yescharacteristic
465#88060C2311yescharacteristic
466#88060C2311yescharacteristic
467#88060C2311yescharacteristic
468#88056C2311yescharacteristic, complemented
469#88056C2311yescharacteristic, complemented
470#88055C2311yescharacteristic, complemented
471#88055C2311yescharacteristic, complemented
472#88054C2311yescharacteristic, complemented
473#88054C2311yescharacteristic, complemented
474#88054C2311yescharacteristic, complemented
475#88054C2311yescharacteristic, complemented
476C8×Dic13C2311yescharacteristic, complemented
477C8×Dic13C2311yescharacteristic, complemented
478#88050C2311yescharacteristic, complemented
479#88050C2311yescharacteristic, complemented
480#88049C2311yescharacteristic
481#88049C2311yescharacteristic
482#88049C2311yescharacteristic
483#88049C2311yescharacteristic
484#88049C2311yescharacteristic, complemented
485#88049C2311yescharacteristic, complemented
486C4⋊#1055C2311yescharacteristic, complemented
487C4⋊#1055C2311yescharacteristic, complemented
488#88043C2311yescharacteristic, complemented
489C4×#1055C2311yescharacteristic, complemented
490#60806—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—44no—
499C23×D13—82no—
500C23×D13—82no—
501C23×D13C2×D411yescharacteristic
502C13×#41—41no—
503C13×#41—41no—
504C2×Q8×C13—21no—
505C2×Q8×C13C2411yescharacteristic
506C2×Q8×C13C2411yescharacteristic
507C2×D4×C13—21no—
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13—21no—
511C2×D4×C13—21no—
512C2×D4×C13—21no—
513C2×D4×C13—21no—
514C2×D4×C13—41no—
515C2×D4×C13—41no—
516C2×D4×C13C2411yescharacteristic
517C2×D4×C13C2411yescharacteristic
518C2×D4×C13C2411yescharacteristic
519C2×D4×C13C2411yescharacteristic
520C22×C4×C13—21no—
521C22×C4×C13—21no—
522C22×C4×C13C2411yescharacteristic
523C2×C22⋊D13—21no—
524C2×C22⋊D13—21no—
525C2×C22⋊D13—21no—
526C2×C22⋊D13—21no—
527C2×C22⋊D13—21no—
528C2×C22⋊D13—21no—
529C2×C22⋊D13—21no—
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—
544C22×Dic13—21no—
545C22×Dic13—21no—
546C22×Dic13—21no—
547C22×Dic13C2×D411yescharacteristic
548#6131—22no—
549#6131—22no—
550#6131—41no—
551#6131—41no—
552Q8×D13—22no—
553Q8×D13—22no—
554#6129—22no—
555#6129—22no—
556#6129—41no—
557#6129—41no—
558#6129—44no—
559D4×D13—22no—
560D4×D13—22no—
561D4×D13—22no—
562D4×D13—22no—
563D4×D13—22no—
564D4×D13—22no—
565D4×D13—41no—
566D4×D13—41no—
567D4×D13—41no—
568D4×D13—41no—
569D4×D13—44no—
570D4×D13—44no—
571D4×D13—44no—
572D4×D13—82no—
573D4×D13—82no—
574D4×D13—82no—
575D4×D13—82no—
576#6127—41no—
577#6127—41no—
578#6127—44no—
579C2×D52—21no—
580C2×D52—21no—
581C2×D52—21no—
582C2×D52—21no—
583C2×D52—21no—
584C2×D52—21no—
585C2×D52—21no—
586C2×D52—21no—
587C2×D52—41no—
588C2×D52—41no—
589C2×D52C2411yescharacteristic
590C2×D52C2411yescharacteristic
591C2×D52C2411yescharacteristic
592C2×D52C2411yescharacteristic
593C2×C4×D13—22no—
594C2×C4×D13—22no—
595C2×C4×D13—21no—
596C2×C4×D13—21no—
597C2×C4×D13—21no—
598C2×C4×D13—21no—
599C2×C4×D13—21no—
600C2×C4×D13—21no—
601C2×C4×D13—44no—
602C2×C4×D13C2×D411yescharacteristic
603C2×C4×D13C2×D411yescharacteristic
604C2×C4×D13C2×D411yescharacteristic
605C2×C4×D13C2×D411yescharacteristic
606C2×C4×D13C2×D411yescharacteristic
607C2×C4×D13C2×D411yescharacteristic
608C2×C4×D13C2411yescharacteristic
609C2×C4×D13C2411yescharacteristic
610C2×Dic26—21no—
611C2×Dic26—21no—
612C2×Dic26C2411yescharacteristic
613C2×Dic26C2411yescharacteristic
614C13×Q16—41no—
615C13×SD16—41no—
616C13×SD16—41no—
617C13×SD16—41no—
618C13×SD16—41no—
619C13×D8—41no—
620C13×D8—41no—
621C13×D8—41no—
622C2×C8×C13C2411yescharacteristic
623C2×C8×C13C2411yescharacteristic
624C2×C8×C13C2411yescharacteristic
625C2×C8×C13C2411yescharacteristic
626C13×C4⋊C4—21no—
627C13×C4⋊C4—21no—
628C13×C4⋊C4—21no—
629C13×C4⋊C4C2×D411yescharacteristic
630C13×C4⋊C4C2×D411yescharacteristic
631C13×C4⋊C4C2411yescharacteristic
632C13×C4⋊C4C2411yescharacteristic
633C13×C22⋊C4—21no—
634C13×C22⋊C4—21no—
635C13×C22⋊C4—21no—
636C13×C22⋊C4—21no—
637C13×C22⋊C4—21no—
638C13×C22⋊C4—21no—
639C13×C22⋊C4—21no—
640C13×C22⋊C4—21no—
641C13×C22⋊C4—21no—
642C13×C22⋊C4C2×D411yescharacteristic
643C13×C22⋊C4C2×D411yescharacteristic
644C42×C13—21no—
645C42×C13C2411yescharacteristic
646C42×C13C2411yescharacteristic
647C22⋊Dic13—21no—
648C22⋊Dic13—21no—
649C22⋊Dic13—21no—
650C22⋊Dic13—21no—
651C22⋊Dic13—21no—
652C22⋊Dic13—21no—
653C22⋊Dic13—21no—
654C22⋊Dic13C2×D411yescharacteristic
655C22⋊Dic13C2×D411yescharacteristic
656#6107—41no—
657#6107—41no—
658#6106—41no—
659#6106—41no—
660#6106—41no—
661#6106—41no—
662#6105—41no—
663#6105—41no—
664#6105—41no—
665#6105—41no—
666#6104—41no—
667#6104—41no—
668#6104—41no—
669#6104—41no—
670#6104—41no—
671#6104—41no—
672#6103—21no—
673#6103—21no—
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
694C4⋊Dic13—21no—
695C4⋊Dic13—21no—
696C4⋊Dic13—21no—
697C4⋊Dic13—21no—
698C4⋊Dic13—21no—
699C4⋊Dic13C2×D411yescharacteristic
700C4⋊Dic13C2×D411yescharacteristic
701C4⋊Dic13C2411yescharacteristic
702C4⋊Dic13C2411yescharacteristic
703#6101—21no—
704#6101—21no—
705#6101—21no—
706#6101—21no—
707#6101—21no—
708#6101—21no—
709#6101—21no—
710#6101—21no—
711#6101C2×D411yescharacteristic
712#6101C2×D411yescharacteristic
713#6101C2×D411yescharacteristic
714#6101C2×D411yescharacteristic
715C4×Dic13—21no—
716C4×Dic13—21no—
717C4×Dic13—21no—
718C4×Dic13—21no—
719C4×Dic13—21no—
720C4×Dic13C2×D411yescharacteristic
721C4×Dic13C2×D411yescharacteristic
722C4×Dic13C2×D411yescharacteristic
723C4×Dic13C2×D411yescharacteristic
724C4×Dic13C2411yescharacteristic
725C4×Dic13C2411yescharacteristic
726C2×#1055C2411yescharacteristic
727C2×#1055C2411yescharacteristic
728C2×#1055C2411yescharacteristic
729C2×#1055C2411yescharacteristic
730Dic52—41no—
731D104—41no—
732D104—41no—
733D104—41no—
734#6095—41no—
735#6095—41no—
736#6095—41no—
737#6095—41no—
738#6094—22no—
739#6094—22no—
740#6094—22no—
741#6094—22no—
742#3455—131no—
743C2×#535—131no—
744#3224—131no—
745#3224—131no—
746#3224—131no—
747#3224—131no—
748#3224—131no—
749#3224—131no—
750#3224—131no—
751#3224D1311yescharacteristic, complemented
752#3222—131no—
753#3222—131no—
754#3222—131no—
755#3222—131no—
756#3220—131no—
757#3220—131no—
758#3220—131no—
759#3220—131no—
760#3153—131no—
761#3151—131no—
762#3140—131no—
763#3138—131no—
764#3040—131no—
765#3040—131no—
766#3038—131no—
767#3038—131no—
768#3005—131no—
769#3005—131no—
770#3003—131no—
771#3003—131no—
772#2921—131no—
773C23×C13—21no—
774C23×C13—21no—
775C23×C13—21no—
776C23×C13—21no—
777C23×C13—42no—
778C23×C13—81no—
779C23×C13—81no—
780C23×C13C22×D411yescharacteristic
781C22×D13—22no—
782C22×D13—21no—
783C22×D13—21no—
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—42no—
798C22×D13—42no—
799C22×D13—42no—
800C22×D13—81no—
801C22×D13—81no—
802C22×D13—81no—
803C22×D13—81no—
804C22×D13—81no—
805C22×D13—81no—
806C22×D13—816no—
807C22×D13C22×D411yescharacteristic
808C22×D13C22×D411yescharacteristic
809Q8×C13—21no—
810Q8×C13—21no—
811Q8×C13—21no—
812Q8×C13—21no—
813Q8×C13—81no—
814D4×C13—21no—
815D4×C13—21no—
816D4×C13—21no—
817D4×C13—21no—
818D4×C13—21no—
819D4×C13—21no—
820D4×C13—21no—
821D4×C13—21no—
822D4×C13—42no—
823D4×C13—42no—
824D4×C13—81no—
825D4×C13—81no—
826D4×C13—81no—
827D4×C13—81no—
828D4×C13—81no—
829C2×C4×C13—21no—
830C2×C4×C13—21no—
831C2×C4×C13—21no—
832C2×C4×C13—21no—
833C2×C4×C13—21no—
834C2×C4×C13—21no—
835C2×C4×C13—42no—
836C2×C4×C13—81no—
837C2×C4×C13C22×D411yescharacteristic
838C2×C4×C13C22×D411yescharacteristic
839C2×C4×C13C22×D411yescharacteristic
840C2×C4×C13C22×D411yescharacteristic
841C2×C4×C13C22×D411yescharacteristic
842C2×C4×C13C2511yescharacteristic
843C22⋊D13—42no—
844C22⋊D13—42no—
845C22⋊D13—42no—
846C22⋊D13—42no—
847C22⋊D13—42no—
848C22⋊D13—42no—
849C22⋊D13—42no—
850C22⋊D13—42no—
851C22⋊D13—81no—
852C22⋊D13—81no—
853C22⋊D13—81no—
854C22⋊D13—81no—
855C22⋊D13—81no—
856C22⋊D13—81no—
857C22⋊D13—81no—
858C22⋊D13—81no—
859C22⋊D13—81no—
860C22⋊D13—81no—
861C22⋊D13—81no—
862C22⋊D13—81no—
863C2×Dic13—22no—
864C2×Dic13—21no—
865C2×Dic13—21no—
866C2×Dic13—21no—
867C2×Dic13—21no—
868C2×Dic13—42no—
869C2×Dic13—42no—
870C2×Dic13—81no—
871C2×Dic13C22×D411yescharacteristic
872C2×Dic13C22×D411yescharacteristic
873C2×Dic13C22×D411yescharacteristic
874C2×Dic13C22×D411yescharacteristic
875C2×Dic13C22×D411yescharacteristic
876C2×Dic13C22×D411yescharacteristic
877D52—21no—
878D52—21no—
879D52—21no—
880D52—21no—
881D52—21no—
882D52—21no—
883D52—21no—
884D52—21no—
885D52—42no—
886D52—42no—
887D52—42no—
888D52—81no—
889D52—81no—
890D52—81no—
891D52—81no—
892D52—81no—
893C4×D13—22no—
894C4×D13—21no—
895C4×D13—21no—
896C4×D13—22no—
897C4×D13—41no—
898C4×D13—41no—
899C4×D13—41no—
900C4×D13—41no—
901C4×D13—42no—
902C4×D13—42no—
903C4×D13—42no—
904C4×D13—42no—
905C4×D13—81no—
906C4×D13—81no—
907C4×D13H(5,𝔽2)12yes—
908C4×D13H(5,𝔽2)12yes—
909Dic26—21no—
910Dic26—21no—
911Dic26—21no—
912Dic26—21no—
913Dic26—42no—
914Dic26—81no—
915C8×C13—21no—
916C8×C13—21no—
917C8×C13—21no—
918C8×C13—21no—
919#1055—21no—
920#1055—21no—
921#1055—21no—
922#1055—21no—
923C22×#41—131no—
924C23×D4—131no—
925C2×#137—131no—
926C2×#137—131no—
927C2×AGL(1,ℤ/8)—131no—
928C2×AGL(1,ℤ/8)—131no—
929C2×AGL(1,ℤ/8)—131no—
930C2×AGL(1,ℤ/8)—131no—
931C2×AGL(1,ℤ/8)—131no—
932C2×AGL(1,ℤ/8)—131no—
933#542—131no—
934#542—131no—
935#542—131no—
936#542C2×D1311yescharacteristic, complemented
937#541—131no—
938#541—131no—
939#540—131no—
940#540—131no—
941#539—261no—
942#539—261no—
943#538—261no—
944#538—261no—
945#535—131no—
946#535—131no—
947#535—131no—
948#535—131no—
949#535—131no—
950#535—131no—
951#535—131no—
952#535—261no—
953#535—261no—
954#535—261no—
955#535—261no—
956#535C2×D1311yescharacteristic
957#533—131no—
958#532—131no—
959C2×#127—131no—
960C2×#127—131no—
961#529—261no—
962#529—261no—
963#529—261no—
964#529—261no—
965C2×#124—131no—
966C2×#124—131no—
967#525—131no—
968#525—131no—
969C2×#121—261no—
970C2×#121—261no—
971C2×#120—261no—
972C2×#120—261no—
973C4×#41—131no—
974C4×#41—131no—
975C2×#117—131no—
976#497—131no—
977#497—131no—
978#496—131no—
979#496—131no—
980#496—131no—
981#496—131no—
982#496—131no—
983#496C2×D1311yescharacteristic, complemented
984#495—131no—
985#495—131no—
986#495—131no—
987#495C2×D1311yescharacteristic, complemented
988#493—131no—
989#493—131no—
990#492—131no—
991#492—131no—
992#490—131no—
993#490—131no—
994#490—131no—
995#490—131no—
996#489—131no—
997#489—131no—
998#489—131no—
999#489C2×D1311yescharacteristic, complemented
1000#488—131no—
1001#488—131no—
1002#488—131no—
1003#488—131no—
1004#486—131no—
1005#486—131no—
1006#486—131no—
1007#486C2×D1311yescharacteristic, complemented
1008#464—131no—
1009#464—131no—
1010#464—131no—
1011#464—131no—
1012#464—131no—
1013#464—131no—
1014#464—131no—
1015#464C2×D1311yescharacteristic, complemented
1016#463—131no—
1017#463—131no—
1018#463—131no—
1019#463—131no—
1020#463—131no—
1021#463—131no—
1022#463—131no—
1023#463C2×D1311yescharacteristic, complemented
1024#460—131no—
1025#460—131no—
1026#460—131no—
1027#460—131no—
1028#460—131no—
1029#460—131no—
1030#460—131no—
1031#460C2×D1311yescharacteristic, complemented
1032#459—131no—
1033#459—131no—
1034#459—131no—
1035#459—131no—
1036#459—131no—
1037#459—131no—
1038#459—131no—
1039#459C2×D1311yescharacteristic, complemented
1040#452—131no—
1041#452—131no—
1042#452—131no—
1043#452—131no—
1044#452—131no—
1045#452—131no—
1046#452—131no—
1047#452C2×D1311yescharacteristic, complemented
1048#450—131no—
1049#450—131no—
1050#450—131no—
1051#450—131no—
1052#450—131no—
1053#450—131no—
1054#450—131no—
1055#450C2×D1311yescharacteristic, complemented
1056#449—131no—
1057#449—131no—
1058#449—131no—
1059#449—131no—
1060#449—131no—
1061#449—131no—
1062#449—131no—
1063#449C2×D1311yescharacteristic, complemented
1064#447—131no—
1065#447—131no—
1066#447—131no—
1067#447—131no—
1068#447—131no—
1069#447—131no—
1070#447—131no—
1071#447C2×D1311yescharacteristic, complemented
1072#433—131no—
1073#433—131no—
1074#433—131no—
1075#433—131no—
1076#433—131no—
1077#433—131no—
1078#433—131no—
1079#433C2×D1311yescharacteristic, complemented
1080#423—131no—
1081#423—131no—
1082#419—131no—
1083#419—131no—
1084#418—131no—
1085#418—131no—
1086#418—131no—
1087#418—131no—
1088#418—131no—
1089#418—131no—
1090#407—131no—
1091#407—131no—
1092C4×M16—131no—
1093C4×M16—131no—
1094C22×C13—21no—
1095C22×C13—21no—
1096C22×C13—21no—
1097C22×C13—41no—
1098C22×C13—41no—
1099C22×C13—41no—
1100C22×C13—41no—
1101C22×C13—41no—
1102C22×C13—41no—
1103C22×C13—41no—
1104C22×C13—41no—
1105C22×C13—41no—
1106C22×C13—41no—
1107C22×C13—41no—
1108C22×C13—41no—
1109C22×C13—84no—
1110C22×C13C23×D411yescharacteristic
1111C2×D13—21no—
1112C2×D13—21no—
1113C2×D13—21no—
1114C2×D13—21no—
1115C2×D13—21no—
1116C2×D13—44no—
1117C2×D13—41no—
1118C2×D13—41no—
1119C2×D13—41no—
1120C2×D13—41no—
1121C2×D13—41no—
1122C2×D13—41no—
1123C2×D13—41no—
1124C2×D13—41no—
1125C2×D13—41no—
1126C2×D13—41no—
1127C2×D13—41no—
1128C2×D13—41no—
1129C2×D13—84no—
1130C2×D13—84no—
1131C2×D13—84no—
1132C2×D13—84no—
1133C2×D13—84no—
1134C2×D13—84no—
1135C2×D13#53512yes—
1136C4×C13—21no—
1137C4×C13—21no—
1138C4×C13—21no—
1139C4×C13—21no—
1140C4×C13—21no—
1141C4×C13—41no—
1142C4×C13—41no—
1143C4×C13—41no—
1144C4×C13—41no—
1145C4×C13C2×H(5,𝔽2)11yescharacteristic
1146C4×C13C2×H(5,𝔽2)11yescharacteristic
1147Dic13—21no—
1148Dic13—21no—
1149Dic13—21no—
1150Dic13—21no—
1151Dic13—21no—
1152Dic13—41no—
1153Dic13—41no—
1154Dic13—41no—
1155Dic13—41no—
1156Dic13#53512yes—
1157C25—261no—
1158C2×#41—131no—
1159C2×#41—131no—
1160C2×#41—131no—
1161C2×#41—131no—
1162C2×#41—131no—
1163C2×#41—261no—
1164C2×#41—261no—
1165C2×#41—522no—
1166C2×#41—522no—
1167C2×#41C22×D1311yescharacteristic
1168C22×Q8—131no—
1169C22×D4—131no—
1170C22×D4—131no—
1171C22×D4—131no—
1172C22×D4—131no—
1173C22×D4—131no—
1174C22×D4—131no—
1175C22×D4—261no—
1176C22×D4—261no—
1177C22×D4—261no—
1178C22×D4—261no—
1179C22×D4—261no—
1180C22×D4—261no—
1181C22×D4—261no—
1182C22×D4—261no—
1183C22×D4—522no—
1184C22×D4—522no—
1185C22×D4C22×D1311yescharacteristic
1186C23×C4—131no—
1187C23×C4—261no—
1188#137—522no—
1189#137—522no—
1190AGL(1,ℤ/8)—522no—
1191AGL(1,ℤ/8)—522no—
1192AGL(1,ℤ/8)—522no—
1193AGL(1,ℤ/8)—522no—
1194AGL(1,ℤ/8)—522no—
1195AGL(1,ℤ/8)—522no—
1196C2×Q16—131no—
1197C2×Q16—131no—
1198C2×Q16—131no—
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—131no—
1212C2×SD16C22×D1311yescharacteristic
1213C2×SD16C22×D1311yescharacteristic
1214C2×SD16C22×D1311yescharacteristic, complemented
1215C2×SD16C22×D1311yescharacteristic, complemented
1216C2×D8—131no—
1217C2×D8—131no—
1218C2×D8—131no—
1219C2×D8—131no—
1220C2×D8—131no—
1221C2×D8—131no—
1222C2×D8—131no—
1223C2×D8—131no—
1224C2×D8—131no—
1225C2×D8C22×D1311yescharacteristic
1226C2×D8C22×D1311yescharacteristic
1227C2×D8C22×D1311yescharacteristic, complemented
1228C2×M16—131no—
1229C2×M16—131no—
1230C2×M16—131no—
1231C2×M16—131no—
1232C4⋊Q8—131no—
1233C4⋊Q8—131no—
1234C4⋊Q8C22×D1311yescharacteristic, complemented
1235#127—131no—
1236#127—131no—
1237#127—131no—
1238#127—131no—
1239#127—131no—
1240#127—131no—
1241#127—131no—
1242#127—261no—
1243#127—261no—
1244#127—261no—
1245#127—261no—
1246#127C22×D1311yescharacteristic
1247#127C22×D1311yescharacteristic
1248#126—21no—
1249#126—261no—
1250#126—261no—
1251#126—261no—
1252#126—261no—
1253#126—261no—
1254#126—261no—
1255#126—261no—
1256#125—131no—
1257#125—131no—
1258#125—261no—
1259#125—261no—
1260#125—261no—
1261#125—261no—
1262#124—21no—
1263#124—131no—
1264#124—131no—
1265#124—131no—
1266#124—131no—
1267#124—131no—
1268#124—131no—
1269#124—131no—
1270#124—261no—
1271#124—261no—
1272#124—261no—
1273#124—261no—
1274#124—261no—
1275#124—261no—
1276#124—261no—
1277#124C22×D1311yescharacteristic
1278#124C22×D1311yescharacteristic
1279#124C22×D1311yescharacteristic, complemented
1280#123—21no—
1281#123—261no—
1282#123—261no—
1283#123—261no—
1284#123—261no—
1285#123—261no—
1286#123—261no—
1287#123—261no—
1288#123—261no—
1289#123—261no—
1290C22⋊Q8—21no—
1291C22⋊Q8—131no—
1292C22⋊Q8—131no—
1293C22⋊Q8—131no—
1294C22⋊Q8—261no—
1295C22⋊Q8—261no—
1296C22⋊Q8—261no—
1297C22⋊Q8—261no—
1298C22⋊Q8—261no—
1299C22⋊Q8C22×D1311yescharacteristic
1300#121—21no—
1301#121—21no—
1302#121—131no—
1303#121—131no—
1304#121—131no—
1305#121—261no—
1306#121—261no—
1307#121—261no—
1308#121—261no—
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#121—261no—
1325#121C22×D1311yescharacteristic
1326#120—21no—
1327#120—21no—
1328#120—261no—
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—
1344C4×Q8—131no—
1345C4×Q8—131no—
1346C4×Q8—131no—
1347C4×Q8—261no—
1348C4×Q8—261no—
1349C4×Q8C22×D1311yescharacteristic, complemented
1350C4×D4—131no—
1351C4×D4—131no—
1352C4×D4—131no—
1353C4×D4—261no—
1354C4×D4—261no—
1355C4×D4—261no—
1356C4×D4—261no—
1357C4×D4—261no—
1358C4×D4—261no—
1359C4×D4—261no—
1360C4×D4—261no—
1361C4×D4—261no—
1362C4×D4—261no—
1363C4×D4C22×D1311yescharacteristic, complemented
1364#117—131no—
1365#117—131no—
1366#117—131no—
1367#117—131no—
1368#117—131no—
1369#117—131no—
1370#117—131no—
1371#117—131no—
1372#117—131no—
1373#117—261no—
1374#117—261no—
1375#117C22×D1311yescharacteristic
1376C2×C4⋊C4—131no—
1377C2×C4⋊C4—131no—
1378C2×C22⋊C4—131no—
1379C2×C22⋊C4—131no—
1380C2×C22⋊C4—261no—
1381C2×C22⋊C4—261no—
1382C2×C22⋊C4—261no—
1383C2×C22⋊C4—261no—
1384C2×C42—131no—
1385C2×C42—131no—
1386C2×C42—261no—
1387C2×C42—261no—
1388C4⋊C8—131no—
1389C4⋊C8—131no—
1390C4⋊C8—131no—
1391C4⋊C8—131no—
1392C4⋊C8—131no—
1393C4⋊C8—131no—
1394C4⋊C8C22×D1311yescharacteristic, complemented
1395C4⋊C8C22×D1311yescharacteristic, complemented
1396#103—131no—
1397#103—131no—
1398#103—131no—
1399#103—131no—
1400#103—131no—
1401#103—131no—
1402#103C22×D1311yescharacteristic, complemented
1403#103C22×D1311yescharacteristic, complemented
1404#102—131no—
1405#102—131no—
1406#102—131no—
1407#102—131no—
1408#102—131no—
1409#102—131no—
1410#102—131no—
1411#102—131no—
1412#102—131no—
1413#102—131no—
1414#102—131no—
1415#102—131no—
1416#102—131no—
1417#102—131no—
1418#102—131no—
1419#102—131no—
1420#102—131no—
1421#102—131no—
1422#102C22×D1311yescharacteristic
1423#102C22×D1311yescharacteristic
1424#102C22×D1311yescharacteristic
1425#102C22×D1311yescharacteristic
1426#102C22×D1311yescharacteristic, complemented
1427#102C22×D1311yescharacteristic, complemented
1428C22⋊C8—131no—
1429C22⋊C8—131no—
1430C22⋊C8—131no—
1431C22⋊C8—131no—
1432C22⋊C8—131no—
1433C22⋊C8—131no—
1434C22⋊C8C22×D1311yescharacteristic
1435C22⋊C8C22×D1311yescharacteristic
1436#97—131no—
1437#97—131no—
1438#97—131no—
1439#97C22×D1311yescharacteristic, complemented
1440C4×C8—131no—
1441C4×C8—131no—
1442C4×C8—131no—
1443C4×C8C22×D1311yescharacteristic, complemented
1444C2×C13—41no—
1445C2×C13—81no—
1446C2×C13—81no—
1447C2×C13—81no—
1448C2×C13—81no—
1449C2×C13C2×#53511yescharacteristic
1450C2×C13#358511yescharacteristic
1451C2×C13#358511yescharacteristic
1452D13—22no—
1453D13—41no—
1454D13—81no—
1455D13—81no—
1456D13—81no—
1457D13—81no—
1458C24—21no—
1459C24—131no—
1460C24—261no—
1461C24—261no—
1462C24—261no—
1463C24—261no—
1464C24—261no—
1465C24—261no—
1466C24—524no—
1467C24—1042no—
1468C24—1042no—
1469#41—41no—
1470#41—41no—
1471#41—262no—
1472#41—262no—
1473#41—262no—
1474#41—262no—
1475#41—521no—
1476#41—521no—
1477#41—524no—
1478#41—521no—
1479#41—521no—
1480#41—524no—
1481#41—521no—
1482#41—521no—
1483C2×Q8—21no—
1484C2×Q8—131no—
1485C2×Q8—131no—
1486C2×Q8—261no—
1487C2×Q8—262no—
1488C2×Q8—262no—
1489C2×Q8—261no—
1490C2×Q8C23×D1311yescharacteristic
1491C2×Q8C23×D1311yescharacteristic
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—41no—
1500C2×D4—41no—
1501C2×D4—131no—
1502C2×D4—131no—
1503C2×D4—131no—
1504C2×D4—131no—
1505C2×D4—261no—
1506C2×D4—261no—
1507C2×D4—261no—
1508C2×D4—262no—
1509C2×D4—262no—
1510C2×D4—262no—
1511C2×D4—262no—
1512C2×D4—262no—
1513C2×D4—262no—
1514C2×D4—261no—
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—261no—
1527C2×D4—261no—
1528C2×D4—261no—
1529C2×D4—261no—
1530C2×D4—261no—
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—521no—
1540C2×D4—521no—
1541C2×D4—521no—
1542C2×D4—521no—
1543C2×D4—521no—
1544C2×D4—521no—
1545C2×D4—524no—
1546C2×D4—524no—
1547C2×D4—524no—
1548C2×D4—524no—
1549C2×D4—1042no—
1550C2×D4—1042no—
1551C2×D4—1042no—
1552C2×D4—1042no—
1553C2×D4C23×D1311yescharacteristic
1554C2×D4C23×D1311yescharacteristic
1555C2×D4C23×D1311yescharacteristic
1556C2×D4C23×D1311yescharacteristic
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—131no—
1560C22×C4—131no—
1561C22×C4—131no—
1562C22×C4—131no—
1563C22×C4—131no—
1564C22×C4—131no—
1565C22×C4—131no—
1566C22×C4—131no—
1567C22×C4—131no—
1568C22×C4—262no—
1569C22×C4—262no—
1570C22×C4—261no—
1571C22×C4—261no—
1572C22×C4—261no—
1573C22×C4—261no—
1574C22×C4—261no—
1575C22×C4—261no—
1576C22×C4—261no—
1577C22×C4—261no—
1578C22×C4—261no—
1579C22×C4—524no—
1580C22×C4C23×D1311yescharacteristic
1581Q16—41no—
1582Q16—521no—
1583Q16—521no—
1584Q16—521no—
1585SD16—41no—
1586SD16—41no—
1587SD16—41no—
1588SD16—41no—
1589SD16—521no—
1590SD16—521no—
1591SD16—521no—
1592SD16—521no—
1593SD16—521no—
1594SD16—521no—
1595SD16—521no—
1596SD16—521no—
1597SD16—521no—
1598SD16—521no—
1599SD16—521no—
1600SD16—521no—
1601D8—41no—
1602D8—41no—
1603D8—41no—
1604D8—521no—
1605D8—521no—
1606D8—521no—
1607D8—521no—
1608D8—521no—
1609D8—521no—
1610D8—521no—
1611D8—521no—
1612D8—521no—
1613M16—262no—
1614M16—262no—
1615M16—262no—
1616M16—262no—
1617C2×C8—131no—
1618C2×C8—131no—
1619C2×C8—131no—
1620C2×C8—131no—
1621C2×C8C23×D1311yescharacteristic
1622C2×C8C23×D1311yescharacteristic
1623C2×C8C23×D1311yescharacteristic
1624C2×C8C23×D1311yescharacteristic
1625C4⋊C4—21no—
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—131no—
1629C4⋊C4—131no—
1630C4⋊C4—131no—
1631C4⋊C4—131no—
1632C4⋊C4—131no—
1633C4⋊C4—131no—
1634C4⋊C4—131no—
1635C4⋊C4—131no—
1636C4⋊C4—261no—
1637C4⋊C4—261no—
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⋊C4D4×D1311yescharacteristic
1650C4⋊C4D4×D1311yescharacteristic
1651C4⋊C4C23×D1311yescharacteristic
1652C4⋊C4C23×D1311yescharacteristic
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—131no—
1663C22⋊C4—131no—
1664C22⋊C4—131no—
1665C22⋊C4—131no—
1666C22⋊C4—131no—
1667C22⋊C4—131no—
1668C22⋊C4—261no—
1669C22⋊C4—261no—
1670C22⋊C4—261no—
1671C22⋊C4—261no—
1672C22⋊C4—261no—
1673C22⋊C4—261no—
1674C22⋊C4—261no—
1675C22⋊C4—261no—
1676C22⋊C4—261no—
1677C22⋊C4—261no—
1678C22⋊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⋊C4D4×D1311yescharacteristic
1694C22⋊C4D4×D1311yescharacteristic
1695C42—21no—
1696C42—131no—
1697C42—131no—
1698C42—131no—
1699C42—131no—
1700C42—131no—
1701C42—131no—
1702C42—261no—
1703C42—261no—
1704C42—261no—
1705C42—261no—
1706C42—261no—
1707C42C23×D1311yescharacteristic
1708C42C23×D1311yescharacteristic
1709C13#6080611yescharacteristic, complemented, Sylow
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—42no—
1715C23—81no—
1716C23—81no—
1717C23—131no—
1718C23—131no—
1719C23—262no—
1720C23—261no—
1721C23—261no—
1722C23—261no—
1723C23—261no—
1724C23—521no—
1725C23—521no—
1726C23—522no—
1727C23—522no—
1728C23—522no—
1729C23—522no—
1730C23—522no—
1731C23—522no—
1732C23—522no—
1733C23—522no—
1734C23—522no—
1735C23—522no—
1736C23—522no—
1737C23—522no—
1738C23—1041no—
1739C23—1041no—
1740C23—1041no—
1741C23—1041no—
1742C23—1041no—
1743C23—1041no—
1744C23—10416no—
1745C23C2×D4×D1311yescharacteristic
1746Q8—21no—
1747Q8—21no—
1748Q8—21no—
1749Q8—21no—
1750Q8—81no—
1751Q8—261no—
1752Q8—261no—
1753Q8—261no—
1754Q8—261no—
1755Q8—522no—
1756Q8—1041no—
1757D4—21no—
1758D4—21no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—42no—
1766D4—42no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—261no—
1773D4—261no—
1774D4—261no—
1775D4—261no—
1776D4—261no—
1777D4—261no—
1778D4—261no—
1779D4—261no—
1780D4—522no—
1781D4—522no—
1782D4—522no—
1783D4—522no—
1784D4—522no—
1785D4—522no—
1786D4—522no—
1787D4—522no—
1788D4—522no—
1789D4—522no—
1790D4—522no—
1791D4—1041no—
1792D4—1041no—
1793D4—1041no—
1794D4—1041no—
1795D4—1041no—
1796D4—1041no—
1797D4—1041no—
1798D4—1041no—
1799D4—1041no—
1800D4—1041no—
1801D4—1041no—
1802D4—1041no—
1803D4—1041no—
1804D4—1041no—
1805D4—1041no—
1806D4—1041no—
1807D4—1041no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—42no—
1815C2×C4—81no—
1816C2×C4—131no—
1817C2×C4—132no—
1818C2×C4—132no—
1819C2×C4—131no—
1820C2×C4—131no—
1821C2×C4—131no—
1822C2×C4—131no—
1823C2×C4—131no—
1824C2×C4—262no—
1825C2×C4—262no—
1826C2×C4—262no—
1827C2×C4—261no—
1828C2×C4—261no—
1829C2×C4—261no—
1830C2×C4—261no—
1831C2×C4—261no—
1832C2×C4—261no—
1833C2×C4—521no—
1834C2×C4—521no—
1835C2×C4—521no—
1836C2×C4—521no—
1837C2×C4—522no—
1838C2×C4—522no—
1839C2×C4—522no—
1840C2×C4—522no—
1841C2×C4—522no—
1842C2×C4—522no—
1843C2×C4—1041no—
1844C2×C4—1041no—
1845C2×C4—1041no—
1846C2×C4C2×D4×D1311yescharacteristic
1847C2×C4C2×D4×D1311yescharacteristic
1848C2×C4C2×D4×D1311yescharacteristic
1849C2×C4C2×D4×D1311yescharacteristic
1850C2×C4C2×D4×D1311yescharacteristic
1851C2×C4C24×D1311yescharacteristic
1852C8—21no—
1853C8—21no—
1854C8—21no—
1855C8—21no—
1856C8—261no—
1857C8—261no—
1858C8—261no—
1859C8—261no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—84no—
1876C22—132no—
1877C22—261no—
1878C22—261no—
1879C22—261no—
1880C22—261no—
1881C22—261no—
1882C22—524no—
1883C22—521no—
1884C22—521no—
1885C22—521no—
1886C22—521no—
1887C22—521no—
1888C22—521no—
1889C22—521no—
1890C22—521no—
1891C22—521no—
1892C22—521no—
1893C22—521no—
1894C22—521no—
1895C22—1044no—
1896C22—1044no—
1897C22—1044no—
1898C22—1044no—
1899C22—1044no—
1900C22—1044no—
1901C22C22×D4×D1311yescharacteristic
1902C4—21no—
1903C4—21no—
1904C4—21no—
1905C4—21no—
1906C4—21no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—132no—
1912C4—261no—
1913C4—261no—
1914C4—261no—
1915C4—261no—
1916C4—261no—
1917C4—521no—
1918C4—521no—
1919C4—521no—
1920C4—521no—
1921C4D13×H(5,𝔽2)11yescharacteristic
1922C4D13×H(5,𝔽2)11yescharacteristic
1923C2—41no—
1924C2—81no—
1925C2—81no—
1926C2—81no—
1927C2—81no—
1928C2—262no—
1929C2—521no—
1930C2—1041no—
1931C2—1041no—
1932C2—1041no—
1933C2—1041no—
1934C2D13×#53511yescharacteristic
1935C2#1312961111yescharacteristic
1936C2#1312961411yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3224C2
socleC22×C13C23×D4
hypercenter#3224D13
hypocenterC13#60806
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #13128223C2semidirect
2. D13×#535C2semidirect
3. #13125933C2semidirect
4. #13125932C2semidirect
5. #13125931C2semidirect
6. #13125930C2semidirect
7. #13125925C2semidirect
8. #13125924C2semidirect
9. #13125923C2semidirect
10. #13125907C2semidirect
11. #13125906C2semidirect
12. #13125905C2semidirect
13. #13125904C2semidirect
14. #13125885C2semidirect
15. #13125884C2semidirect
16. #13125883C2semidirect
17. #13125882C2semidirect
18. #13125297C2semidirect
19. #13125285C2semidirect
20. #13125221C2semidirect
21. #13125207C2semidirect
22. #13124327C2semidirect
23. #13124325C2semidirect
24. #13124313C2semidirect
25. #13124311C2semidirect
26. #13124079C2semidirect
27. #13124074C2semidirect
28. #13124064C2semidirect
29. #13124060C2semidirect
30. #13123470C2semidirect
31. C13×#3224C2semidirect
34. C13×#542C22semidirect
38. C2×#88172C22semidirect
39. C2×#88169C22semidirect
42. C2×#88168C22semidirect
45. C2×#88165C22semidirect
46. #11719438C22semidirect
47. #11719433C22semidirect
54. #11719387C22semidirect
61. #11719373C22semidirect
66. #11719330C22semidirect
68. #11719324C22semidirect
78. #11719288C22semidirect
79. C4×#6131C22semidirect
80. #11719267C22semidirect
81. C4×#6129C22semidirect
82. #11719239C22semidirect
85. C13×#496C22semidirect
86. C13×#495C22semidirect
87. C13×#489C22semidirect
88. C13×#486C22semidirect
89. C13×#464C22semidirect
90. C13×#463C22semidirect
91. C13×#460C22semidirect
92. C13×#459C22semidirect
93. C13×#452C22semidirect
94. C13×#450C22semidirect
95. C13×#449C22semidirect
96. C13×#447C22semidirect
97. C13×#433C22semidirect
98. #11718900C22semidirect
99. #11718899C22semidirect
100. #11718879C22semidirect
101. #11718878C22semidirect
102. #11718851C22semidirect
103. #11718848C22semidirect
104. #11718846C22semidirect
105. #11718837C22semidirect
106. #11718836C22semidirect
107. #11718836C22semidirect
108. #11718834C22semidirect
109. #11718833C22semidirect
110. #11718830C22semidirect
111. #11718830C22semidirect
112. #11718828C22semidirect
113. #11718827C22semidirect
114. #11718826C22semidirect
115. #11718824C22semidirect
116. #11718824C22semidirect
117. #11718819C22semidirect
118. #11718817C22semidirect
119. #11718817C22semidirect
120. #11718815C22semidirect
121. #11718814C22semidirect
122. #11718812C22semidirect
123. #11718812C22semidirect
124. #11718811C22semidirect
125. #11718811C22semidirect
126. #11718750C22semidirect
127. #11718749C22semidirect
128. #11718736C22semidirect
129. #11718735C22semidirect
130. #11718733C22semidirect
131. #11718731C22semidirect
132. #11718720C22semidirect
133. #11718720C22semidirect
134. #11718719C22semidirect
135. #11718718C22semidirect
136. #11718716C22semidirect
137. #11718715C22semidirect
138. #11718708C22semidirect
139. #11718707C22semidirect
140. #11718698C22semidirect
141. #11718697C22semidirect
142. #11718689C22semidirect
143. #11718688C22semidirect
144. #11718677C22semidirect
145. #11718676C22semidirect
146. #11718661C22semidirect
147. #11718509C22semidirect
148. #11718506C22semidirect
149. #11718505C22semidirect
150. #11718504C22semidirect
151. #11718501C22semidirect
152. #11718501C22semidirect
153. #11718498C22semidirect
154. #11718498C22semidirect
155. #11718480C22semidirect
156. #11718472C22semidirect
157. #11718471C22semidirect
158. #11718463C22semidirect
159. #11718463C22semidirect
160. #11718461C22semidirect
161. #11718461C22semidirect
162. #11718459C22semidirect
163. #11718448C22semidirect
164. #11718447C22semidirect
165. #11718447C22semidirect
166. #11718444C22semidirect
167. #11718442C22semidirect
168. #11718437C22semidirect
169. #11718437C22semidirect
170. #11718434C22semidirect
171. #11718434C22semidirect
176. #11718431C22semidirect
177. #11718431C22semidirect
178. #11718429C22semidirect
179. #11718429C22semidirect
180. #11718428C22semidirect
181. #11718425C22semidirect
182. #11718425C22semidirect
183. #11718425C22semidirect
184. #11718425C22semidirect
185. #11718423C22semidirect
186. #11718423C22semidirect
187. #11718395C22semidirect
188. #11718394C22semidirect
189. #11718393C22semidirect
190. #11718392C22semidirect
193. #11718381C22semidirect
194. #11718381C22semidirect
195. #11718375C22semidirect
196. #11718373C22semidirect
197. #11718370C22semidirect
198. #11718368C22semidirect
199. #11718357C22semidirect
200. #11718355C22semidirect
201. #11718351C22semidirect
202. C4×#6094C22semidirect
234. C2×C13×Q16C23semidirect
237. C2×C13×SD16C23semidirect
238. C2×C13×SD16C23semidirect
241. C2×C13×D8C23semidirect
242. C13×C4⋊Q8C23semidirect
249. C13×#124C23semidirect
258. C4×Q8×C13C23semidirect
259. C4×D4×C13C23semidirect
270. Q8×Dic13C23semidirect
271. #88198C23semidirect
272. C2×#6107C23semidirect
273. C2×#6107C23semidirect
276. C2×#6106C23semidirect
277. C2×#6106C23semidirect
286. #88194C23semidirect
306. D4×Dic13C23semidirect
309. C2×#6105C23semidirect
310. C2×#6105C23semidirect
315. C2×#6104C23semidirect
316. C2×#6104C23semidirect
334. C2×Dic52C23semidirect
337. C2×D104C23semidirect
340. C2×#6095C23semidirect
341. C2×#6095C23semidirect
359. #88147C23semidirect
368. #88144C23semidirect
369. #88144C23semidirect
373. #88141C23semidirect
421. #88129C23semidirect
425. C4×D52C23semidirect
432. #88123C23semidirect
433. C4×Dic26C23semidirect
434. C13×C4⋊C8C23semidirect
435. C13×C4⋊C8C23semidirect
436. C13×#103C23semidirect
437. C13×#103C23semidirect
442. C13×#102C23semidirect
443. C13×#102C23semidirect
446. C13×#97C23semidirect
447. C4×C8×C13C23semidirect
448. #88075C23semidirect
449. #88075C23semidirect
454. #88072C23semidirect
455. #88072C23semidirect
462. #88061C23semidirect
463. #88061C23semidirect
468. #88056C23semidirect
469. #88056C23semidirect
470. #88055C23semidirect
471. #88055C23semidirect
472. #88054C23semidirect
473. #88054C23semidirect
474. #88054C23semidirect
475. #88054C23semidirect
476. C8×Dic13C23semidirect
477. C8×Dic13C23semidirect
478. #88050C23semidirect
479. #88050C23semidirect
484. #88049C23semidirect
485. #88049C23semidirect
486. C4⋊#1055C23semidirect
487. C4⋊#1055C23semidirect
488. #88043C23semidirect
489. C4×#1055C23semidirect
751. #3224D13semidirect
936. #542C2×D13semidirect
983. #496C2×D13semidirect
987. #495C2×D13semidirect
999. #489C2×D13semidirect
1007. #486C2×D13semidirect
1015. #464C2×D13semidirect
1023. #463C2×D13semidirect
1031. #460C2×D13semidirect
1039. #459C2×D13semidirect
1047. #452C2×D13semidirect
1055. #450C2×D13semidirect
1063. #449C2×D13semidirect
1071. #447C2×D13semidirect
1079. #433C2×D13semidirect
1199. C2×Q16C22×D13semidirect
1214. C2×SD16C22×D13semidirect
1215. C2×SD16C22×D13semidirect
1227. C2×D8C22×D13semidirect
1234. C4⋊Q8C22×D13semidirect
1279. #124C22×D13semidirect
1349. C4×Q8C22×D13semidirect
1363. C4×D4C22×D13semidirect
1394. C4⋊C8C22×D13semidirect
1395. C4⋊C8C22×D13semidirect
1402. #103C22×D13semidirect
1403. #103C22×D13semidirect
1426. #102C22×D13semidirect
1427. #102C22×D13semidirect
1439. #97C22×D13semidirect
1443. C4×C8C22×D13semidirect
1709. C13#60806semidirect

Maximal subgroups

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

subgroupindex
#131282232
D13×#5352
#131259332
#131259322
#131259312
#131259302
#131259252
#131259242
#131259232
#131259072
#131259062
#131259052
#131259042
#131258852
#131258842
#131258832
#131258822
#131252972
#131252852
#131252212
#131252072
#131243272
#131243252
#131243132
#131243112
#131240792
#131240742
#131240642
#131240602
#131234702
C13×#32242
#6080613