Finite Group Databasebeta

← #16747947

Subgroups — #16747947

Order 3328.

2258 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#13128676C211yesmaximal, characteristic, complemented
2D13×#546C211yesmaximal, characteristic, complemented
3#13127055C211yesmaximal, characteristic, complemented
4#13127053C211yesmaximal, characteristic, complemented
5#13127046C211yesmaximal, characteristic, complemented
6#13127036C211yesmaximal, characteristic, complemented
7#13127035C211yesmaximal, characteristic, complemented
8#13127034C211yesmaximal, characteristic, complemented
9#13127033C211yesmaximal, characteristic, complemented
10#13126471C211yesmaximal, characteristic, complemented
11#13126469C211yesmaximal, characteristic, complemented
12#13126464C211yesmaximal, characteristic, complemented
13#13126462C211yesmaximal, characteristic, complemented
14#13126448C211yesmaximal, characteristic, complemented
15#13126444C211yesmaximal, characteristic, complemented
16#13126443C211yesmaximal, characteristic, complemented
17#13126440C211yesmaximal, characteristic, complemented
18#13125805C211yesmaximal, characteristic, complemented
19#13125802C211yesmaximal, characteristic, complemented
20#13125670C211yesmaximal, characteristic, complemented
21#13125667C211yesmaximal, characteristic, complemented
22#13125637C211yesmaximal, characteristic, complemented
23#13125635C211yesmaximal, characteristic, complemented
24#13124888C211yesmaximal, characteristic, complemented
25#13124887C211yesmaximal, characteristic, complemented
26#13124093C211yesmaximal, characteristic, complemented
27#13124089C211yesmaximal, characteristic, complemented
28#13124065C211yesmaximal, characteristic, complemented
29#13124064C211yesmaximal, characteristic, complemented
30#13123874C211yesmaximal, characteristic, complemented
31C13×#3323C211yesmaximal, characteristic, complemented
32C2×#41×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic, complemented
34C13×#552C2211yescharacteristic, complemented
35C13×#546C2211yescharacteristic
36#11719534C2211yescharacteristic
37C2×#88203C2211yescharacteristic, complemented
38#11719511C2211yescharacteristic, complemented
39C2×#88186C2211yescharacteristic, complemented
40C2×#88172C2211yescharacteristic, complemented
41C2×#88169C2211yescharacteristic, complemented
42C2×#88168C2211yescharacteristic, complemented
43C2×#88168C2211yescharacteristic, complemented
44C2×#88162C2211yescharacteristic, complemented
45C2×#88162C2211yescharacteristic, complemented
46#11719414—21no—
47#11719409—21no—
48#11719400—21no—
49#11719400C2211yescharacteristic, complemented
50#11719397—21no—
51#11719396C2211yescharacteristic, complemented
52#11719381C2211yescharacteristic, complemented
53D13×#124C2211yescharacteristic, complemented
54#11719363—21no—
55#11719359—21no—
56#11719358—21no—
57D13×#123—21no—
58#11719338C2211yescharacteristic, complemented
59#11719335C2211yescharacteristic, complemented
60#11719335C2211yescharacteristic, complemented
61#11719332C2211yescharacteristic
62D13×C22⋊Q8C2211yescharacteristic, complemented
63D13×C22⋊Q8C2211yescharacteristic, complemented
64#11719317C2211yescharacteristic
65#11719315—21no—
66D13×#121—21no—
67D13×#121C2211yescharacteristic
68#11719296—21no—
69D13×#120—21no—
70#11719285C2211yescharacteristic, complemented
71#11719281C2211yescharacteristic, complemented
72#11719259C2211yescharacteristic, complemented
73#11719255C2211yescharacteristic
74#11719255C2211yescharacteristic, complemented
75C4×D4×D13C2211yescharacteristic
76C4×D4×D13C2211yescharacteristic, complemented
77#11719235C2211yescharacteristic, complemented
78#11719232—21no—
79#11719229C2211yescharacteristic
80#11719226—21no—
81#11719218C2211yescharacteristic, complemented
82C2×#88149C2211yescharacteristic, complemented
83#11719195—21no—
84C2×C22⋊C4×D13—21no—
85C13×#488C2211yescharacteristic, complemented
86C13×#485C2211yescharacteristic, complemented
87C13×#481C2211yescharacteristic, complemented
88C13×#478C2211yescharacteristic, complemented
89C13×#470C2211yescharacteristic, complemented
90C13×#468C2211yescharacteristic, complemented
91C13×#464C2211yescharacteristic, complemented
92C13×#452C2211yescharacteristic, complemented
93C13×#450C2211yescharacteristic, complemented
94C4×C13×SD16C2211yescharacteristic, complemented
95C13×#436C2211yescharacteristic, complemented
96C13×#418C2211yescharacteristic, complemented
97C13×#417C2211yescharacteristic, complemented
98#11718900C2211yescharacteristic, complemented
99#11718878C2211yescharacteristic, complemented
100#11718852C2211yescharacteristic, complemented
101#11718848C2211yescharacteristic, complemented
102#11718847C2211yescharacteristic, complemented
103#11718831C2211yescharacteristic, complemented
104#11718830C2211yescharacteristic, complemented
105#11718830C2211yescharacteristic, complemented
106#11718829C2211yescharacteristic, complemented
107#11718826C2211yescharacteristic, complemented
108#11718795C2211yescharacteristic, complemented
109#11718795C2211yescharacteristic, complemented
110#11718789C2211yescharacteristic, complemented
111#11718789C2211yescharacteristic, complemented
112#11718787C2211yescharacteristic, complemented
113#11718787C2211yescharacteristic, complemented
114#11718729C2211yescharacteristic, complemented
115#11718727C2211yescharacteristic, complemented
116#11718720C2211yescharacteristic, complemented
117#11718718C2211yescharacteristic, complemented
118#11718713C2211yescharacteristic, complemented
119#11718710C2211yescharacteristic, complemented
120#11718710C2211yescharacteristic, complemented
121#11718708C2211yescharacteristic, complemented
122#11718708C2211yescharacteristic, complemented
123#11718707C2211yescharacteristic, complemented
124#11718703C2211yescharacteristic, complemented
125#11718697C2211yescharacteristic, complemented
126#11718689C2211yescharacteristic, complemented
127C4×#6106C2211yescharacteristic, complemented
128#11718677C2211yescharacteristic, complemented
129C4×#6104C2211yescharacteristic, complemented
130#11718673C2211yescharacteristic, complemented
131#11718662C2211yescharacteristic, complemented
132#11718657C2211yescharacteristic, complemented
133#11718629C2211yescharacteristic, complemented
134#11718627C2211yescharacteristic, complemented
135#11718547C2211yescharacteristic, complemented
136#11718545C2211yescharacteristic, complemented
137#11718543C2211yescharacteristic, complemented
138#11718533C2211yescharacteristic, complemented
139#11718532C2211yescharacteristic, complemented
140#11718529C2211yescharacteristic, complemented
141#11718528C2211yescharacteristic, complemented
142#11718526C2211yescharacteristic, complemented
143#11718526C2211yescharacteristic, complemented
144#11718524C2211yescharacteristic, complemented
145#11718524C2211yescharacteristic, complemented
146#11718513C2211yescharacteristic, complemented
147#11718505C2211yescharacteristic, complemented
148#11718505C2211yescharacteristic, complemented
149#11718499C2211yescharacteristic, complemented
150#11718494C2211yescharacteristic, complemented
151#11718480C2211yescharacteristic, complemented
152#11718480C2211yescharacteristic, complemented
153#11718477C2211yescharacteristic, complemented
154#11718475C2211yescharacteristic, complemented
155#11718473C2211yescharacteristic, complemented
156#11718472C2211yescharacteristic, complemented
157#11718472C2211yescharacteristic, complemented
158#11718471C2211yescharacteristic, complemented
159#11718470C2211yescharacteristic, complemented
160#11718469C2211yescharacteristic, complemented
161#11718467C2211yescharacteristic, complemented
162#11718467C2211yescharacteristic, complemented
163#11718467C2211yescharacteristic, complemented
164#11718464C2211yescharacteristic, complemented
165#11718461C2211yescharacteristic, complemented
166#11718459C2211yescharacteristic, complemented
167#11718448C2211yescharacteristic, complemented
168#11718443C2211yescharacteristic, complemented
169#11718443C2211yescharacteristic, complemented
170#11718442C2211yescharacteristic, complemented
171#11718442C2211yescharacteristic, complemented
172#11718437C2211yescharacteristic, complemented
173#11718437C2211yescharacteristic, complemented
174#11718437C2211yescharacteristic, complemented
175#11718437C2211yescharacteristic, complemented
176#11718435C2211yescharacteristic, complemented
177#11718434C2211yescharacteristic
178#11718434C2211yescharacteristic
179#11718434C2211yescharacteristic
180#11718434C2211yescharacteristic
181#11718434C2211yescharacteristic, complemented
182#11718434C2211yescharacteristic, complemented
183#11718432C2211yescharacteristic, complemented
184#11718431C2211yescharacteristic, complemented
185#11718431C2211yescharacteristic, complemented
186#11718429C2211yescharacteristic, complemented
187#11718428C2211yescharacteristic, complemented
188#11718427C2211yescharacteristic, complemented
189#11718419C2211yescharacteristic, complemented
190#11718417C2211yescharacteristic, complemented
191#11718394C2211yescharacteristic, complemented
192#11718394C2211yescharacteristic, complemented
193#11718393C2211yescharacteristic, complemented
194#11718393C2211yescharacteristic, complemented
195#11718390C2211yescharacteristic, complemented
196#11718390C2211yescharacteristic, complemented
197#11718387C2211yescharacteristic, complemented
198#11718387C2211yescharacteristic, complemented
199#11718357C2211yescharacteristic, complemented
200C4×D104C2211yescharacteristic, complemented
201#11718349C2211yescharacteristic, complemented
202#11718346C2211yescharacteristic, 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×Q8×D13C2311yescharacteristic, complemented
213C2×#6129—21no—
214C2×#6129C2311yescharacteristic
215C2×D4×D13—21no—
216C2×D4×D13—21no—
217C2×D4×D13—21no—
218C2×D4×D13—21no—
219C2×D4×D13—42no—
220C2×D4×D13—42no—
221C2×D4×D13D411yescharacteristic
222C2×D4×D13C2311yescharacteristic
223C2×D4×D13C2311yescharacteristic
224C2×D4×D13C2311yescharacteristic
225C2×D4×D13C2311yescharacteristic
226C2×#6127—21no—
227C2×#6127C2311yescharacteristic
228C2×#6127C2311yescharacteristic
229C22×D52—21no—
230C22×D52C2311yescharacteristic
231C22×D52C2311yescharacteristic, complemented
232C22×C4×D13—21no—
233C22×C4×D13—21no—
234C22×C4×D13C2311yescharacteristic
235C22×C4×D13C2311yescharacteristic
236C2×C13×Q16C2311yescharacteristic, complemented
237C2×C13×SD16C2311yescharacteristic
238C2×C13×SD16C2311yescharacteristic
239C2×C13×M16C2311yescharacteristic
240C2×C13×M16C2311yescharacteristic, complemented
241C13×#126—21no—
242C13×#125—21no—
243C13×#125C2311yescharacteristic, complemented
244C13×#124C2311yescharacteristic
245C13×#123—21no—
246C13×#123—21no—
247C13×C22⋊Q8C2311yescharacteristic
248C13×C22⋊Q8C2311yescharacteristic
249C13×C22⋊Q8C2311yescharacteristic, complemented
250C13×#121—21no—
251C13×#121C2311yescharacteristic
252C13×#120—21no—
253C4×Q8×C13C2311yescharacteristic, complemented
254C4×D4×C13C2311yescharacteristic
255C4×D4×C13C2311yescharacteristic
256C13×#117—21no—
257C13×#117C2311yescharacteristic
258C2×C13×C4⋊C4C2311yescharacteristic, complemented
259C2×C13×C22⋊C4—21no—
260#88207—21no—
261C2×C22⋊Dic13—21no—
262#88203—42no—
263#88201C2311yescharacteristic
264#88201C2311yescharacteristic, complemented
265#88200C2311yescharacteristic
266#88200C2311yescharacteristic
267C2×#6107C2311yescharacteristic, complemented
268C2×#6107C2311yescharacteristic, complemented
269C2×#6106C2311yescharacteristic
270C2×#6106C2311yescharacteristic
271C2×#6106C2311yescharacteristic, complemented
272C2×#6106C2311yescharacteristic, complemented
273#88193—21no—
274#88193—21no—
275#88193—21no—
276#88192—21no—
277#88192C2311yescharacteristic
278#88191—21no—
279#88191—21no—
280#88191—21no—
281#88191—21no—
282#88190C2311yescharacteristic
283#88189—21no—
284D4×Dic13D411yescharacteristic
285D4×Dic13C2311yescharacteristic
286C2×#6105C2311yescharacteristic
287C2×#6105C2311yescharacteristic
288#88186—42no—
289C2×#6104C2311yescharacteristic
290C2×#6104C2311yescharacteristic
291C2×#6104C2311yescharacteristic
292C2×#6104C2311yescharacteristic
293#88184—21no—
294#88184C2311yescharacteristic
295#88184C2311yescharacteristic
296#88183—21no—
297#88183—21no—
298C4×C22⋊D13—21no—
299C4×C22⋊D13C2311yescharacteristic
300C4×C22⋊D13C2311yescharacteristic
301C2×#6103—21no—
302C2×#6103—21no—
303C2×#6103—21no—
304#88180—21no—
305#88178C2311yescharacteristic
306#88178C2311yescharacteristic, complemented
307C2×#6099C2311yescharacteristic
308C2×#6099C2311yescharacteristic, complemented
309#88172—42no—
310#88169—42no—
311#88168—42no—
312#88168—42no—
313#88162—42no—
314#88162—42no—
315C2×Dic52C2311yescharacteristic, complemented
316C2×D104C2311yescharacteristic
317C2×D104C2311yescharacteristic
318C2×D104C2311yescharacteristic
319C2×D104C2311yescharacteristic
320C2×#6095C2311yescharacteristic
321C2×#6095C2311yescharacteristic
322C2×#6095C2311yescharacteristic, complemented
323C2×#6095C2311yescharacteristic, complemented
324C2×#6094C2311yescharacteristic
325C2×#6094C2311yescharacteristic
326C2×#6094C2311yescharacteristic, complemented
327C2×#6094C2311yescharacteristic, complemented
328#88152—21no—
329#88152—21no—
330#88152—21no—
331#88152—21no—
332#88151—21no—
333#88151C2311yescharacteristic
334#88151C2311yescharacteristic
335#88151C2311yescharacteristic
336#88150—21no—
337#88150—21no—
338#88150—21no—
339#88149—21no—
340#88149—21no—
341#88149—21no—
342#88149—21no—
343#88149—21no—
344#88149—21no—
345#88149C2311yescharacteristic
346#88149C2311yescharacteristic
347#88149C2311yescharacteristic
348#88149C2311yescharacteristic
349#88149C2311yescharacteristic, complemented
350#88149C2311yescharacteristic, complemented
351#88148—21no—
352#88148—21no—
353#88148—21no—
354#88148—21no—
355#88148—21no—
356#88148—21no—
357#88148—21no—
358#88148—21no—
359#88147—21no—
360#88147—21no—
361#88147—21no—
362#88147—21no—
363#88147D411yescharacteristic
364#88147C2311yescharacteristic
365#88147C2311yescharacteristic, complemented
366#88146—21no—
367#88146C2311yescharacteristic
368C4⋊C4×D13—21no—
369C4⋊C4×D13—21no—
370C4⋊C4×D13D411yescharacteristic
371C4⋊C4×D13C2311yescharacteristic
372C4⋊C4×D13C2311yescharacteristic, complemented
373#88144C2311yescharacteristic, complemented
374#88143—21no—
375#88141C2311yescharacteristic, complemented
376#88140—21no—
377#88140—21no—
378#88139—21no—
379#88139—21no—
380#88139—21no—
381#88138—21no—
382#88138—21no—
383#88138—21no—
384#88138—21no—
385#88138—21no—
386#88138—21no—
387#88137—21no—
388#88137—21no—
389#88137—21no—
390#88136—21no—
391#88136—21no—
392#88136—21no—
393#88136—21no—
394#88136—21no—
395#88136—21no—
396#88135—21no—
397#88135—21no—
398#88135D411yescharacteristic
399#88135D411yescharacteristic
400C22⋊C4×D13—21no—
401C22⋊C4×D13—21no—
402C22⋊C4×D13—21no—
403C22⋊C4×D13—21no—
404C22⋊C4×D13—21no—
405C22⋊C4×D13—21no—
406C22⋊C4×D13—21no—
407C22⋊C4×D13—21no—
408C22⋊C4×D13—21no—
409C22⋊C4×D13—21no—
410C22⋊C4×D13—21no—
411C22⋊C4×D13—21no—
412C22⋊C4×D13D411yescharacteristic
413C22⋊C4×D13D411yescharacteristic
414#88132—21no—
415#88132—21no—
416#88130—21no—
417#88129—21no—
418#88129C2311yescharacteristic
419#88129C2311yescharacteristic, complemented
420C4×D52—21no—
421C4×D52—21no—
422C4×D52—21no—
423C4×D52—21no—
424C4×D52—21no—
425C4×D52C2311yescharacteristic
426C4×D52C2311yescharacteristic
427C4×D52C2311yescharacteristic, complemented
428#88126—21no—
429C42×D13C2311yescharacteristic
430C13×#107C2311yescharacteristic, complemented
431C13×#106C2311yescharacteristic, complemented
432C13×#106C2311yescharacteristic, complemented
433C13×C4⋊C8C2311yescharacteristic, complemented
434C13×#103C2311yescharacteristic, complemented
435C13×#103C2311yescharacteristic, complemented
436C13×#103C2311yescharacteristic, complemented
437C13×#103C2311yescharacteristic, complemented
438C13×#102C2311yescharacteristic
439C13×#102C2311yescharacteristic
440C13×#102C2311yescharacteristic
441C13×#102C2311yescharacteristic
442C13×#102C2311yescharacteristic
443C13×#102C2311yescharacteristic
444C13×C22⋊C8C2311yescharacteristic
445C13×C22⋊C8C2311yescharacteristic, complemented
446C4×C8×C13C2311yescharacteristic, complemented
447#88075C2311yescharacteristic, complemented
448#88075C2311yescharacteristic, complemented
449#88072C2311yescharacteristic
450#88072C2311yescharacteristic
451C22⋊#1055C2311yescharacteristic
452C22⋊#1055C2311yescharacteristic, complemented
453#88061C2311yescharacteristic
454#88061C2311yescharacteristic
455#88061C2311yescharacteristic, complemented
456#88061C2311yescharacteristic, complemented
457#88060C2311yescharacteristic
458#88060C2311yescharacteristic
459#88060C2311yescharacteristic
460#88060C2311yescharacteristic
461#88060C2311yescharacteristic
462#88060C2311yescharacteristic
463#88060C2311yescharacteristic, complemented
464#88060C2311yescharacteristic, complemented
465#88058C2311yescharacteristic, complemented
466#88056C2311yescharacteristic, complemented
467#88056C2311yescharacteristic, complemented
468#88054C2311yescharacteristic, complemented
469#88054C2311yescharacteristic, complemented
470C8×Dic13C2311yescharacteristic, complemented
471C8×Dic13C2311yescharacteristic, complemented
472#88050C2311yescharacteristic, complemented
473#88050C2311yescharacteristic, complemented
474#88050C2311yescharacteristic, complemented
475#88050C2311yescharacteristic, complemented
476#88049C2311yescharacteristic
477#88049C2311yescharacteristic
478#88049C2311yescharacteristic
479#88049C2311yescharacteristic
480#88049C2311yescharacteristic
481#88049C2311yescharacteristic
482#88049C2311yescharacteristic, complemented
483#88049C2311yescharacteristic, complemented
484#88048C2311yescharacteristic, complemented
485#88048C2311yescharacteristic, complemented
486#88047C2311yescharacteristic, complemented
487#88047C2311yescharacteristic, complemented
488C4⋊#1055C2311yescharacteristic, complemented
489C4×#1055C2311yescharacteristic, complemented
490#61581—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—44no—
500C23×D13—82no—
501C23×D13C2×D411yescharacteristic
502C23×D13C2×D411yescharacteristic
503C13×#41—22no—
504C13×#41—41no—
505C2×Q8×C13C2411yescharacteristic
506C2×Q8×C13C2411yescharacteristic
507C2×D4×C13—22no—
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13—21no—
511C2×D4×C13—41no—
512C2×D4×C13C2×D411yescharacteristic
513C2×D4×C13C2411yescharacteristic
514C2×D4×C13C2411yescharacteristic
515C22×C4×C13—21no—
516C22×C4×C13—21no—
517C22×C4×C13—21no—
518C22×C4×C13C2411yescharacteristic
519C22×C4×C13C2411yescharacteristic
520C2×C22⋊D13—21no—
521C2×C22⋊D13—21no—
522C2×C22⋊D13—21no—
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—44no—
531C2×C22⋊D13C2×D411yescharacteristic
532C2×C22⋊D13C2×D411yescharacteristic
533C22×Dic13—21no—
534C22×Dic13—21no—
535C22×Dic13C2×D411yescharacteristic
536C22×Dic13C2×D411yescharacteristic
537#6131—22no—
538#6131—41no—
539#6131—41no—
540#6131—41no—
541Q8×D13—41no—
542Q8×D13—41no—
543Q8×D13—41no—
544Q8×D13—41no—
545#6129—22no—
546#6129—41no—
547#6129—44no—
548D4×D13—22no—
549D4×D13—22no—
550D4×D13—22no—
551D4×D13—22no—
552D4×D13—41no—
553D4×D13—41no—
554D4×D13—41no—
555D4×D13—41no—
556D4×D13—42no—
557D4×D13—44no—
558D4×D13—44no—
559D4×D13—44no—
560D4×D13—82no—
561#6127—22no—
562#6127—41no—
563#6127—41no—
564#6127—41no—
565#6127—44no—
566C2×D52—22no—
567C2×D52—21no—
568C2×D52—21no—
569C2×D52—21no—
570C2×D52—21no—
571C2×D52—21no—
572C2×D52—21no—
573C2×D52—21no—
574C2×D52—21no—
575C2×D52—21no—
576C2×D52—21no—
577C2×D52—41no—
578C2×D52—41no—
579C2×D52—41no—
580C2×D52—44no—
581C2×D52C2×D411yescharacteristic
582C2×D52C2411yescharacteristic
583C2×D52C2411yescharacteristic
584C2×D52C2411yescharacteristic
585C2×D52C2411yescharacteristic
586C2×C4×D13—21no—
587C2×C4×D13—21no—
588C2×C4×D13—21no—
589C2×C4×D13—21no—
590C2×C4×D13—21no—
591C2×C4×D13—21no—
592C2×C4×D13—21no—
593C2×C4×D13—21no—
594C2×C4×D13—21no—
595C2×C4×D13—21no—
596C2×C4×D13—21no—
597C2×C4×D13—21no—
598C2×C4×D13—41no—
599C2×C4×D13—41no—
600C2×C4×D13—41no—
601C2×C4×D13—41no—
602C2×C4×D13—44no—
603C2×C4×D13—82no—
604C2×C4×D13C2×D411yescharacteristic
605C2×C4×D13C2×D411yescharacteristic
606C2×C4×D13C2×D411yescharacteristic
607C2×C4×D13C2×D411yescharacteristic
608C2×C4×D13C2×D411yescharacteristic
609C2×C4×D13C2×D411yescharacteristic
610C2×C4×D13C2411yescharacteristic
611C2×C4×D13C2411yescharacteristic
612C2×C4×D13C2411yescharacteristic
613C2×Dic26—21no—
614C2×Dic26—21no—
615C2×Dic26C2411yescharacteristic
616C2×Dic26C2411yescharacteristic
617C13×Q16—41no—
618C13×SD16—22no—
619C13×SD16—41no—
620C13×M16—41no—
621C13×M16—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⋊C4—21no—
630C13×C4⋊C4—21no—
631C13×C4⋊C4—21no—
632C13×C4⋊C4—21no—
633C13×C4⋊C4C2×D411yescharacteristic
634C13×C4⋊C4C2411yescharacteristic
635C13×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
647C13×C22⋊C4C2×D411yescharacteristic
648C42×C13—21no—
649C42×C13—21no—
650C42×C13C2411yescharacteristic
651C22⋊Dic13—21no—
652C22⋊Dic13—21no—
653C22⋊Dic13—21no—
654C22⋊Dic13—21no—
655C22⋊Dic13—21no—
656C22⋊Dic13—21no—
657C22⋊Dic13C2×D411yescharacteristic
658C22⋊Dic13C2×D411yescharacteristic
659#6107—41no—
660#6107—41no—
661#6106—22no—
662#6106—41no—
663#6106—41no—
664#6106—41no—
665#6105—22no—
666#6105—41no—
667#6104—22no—
668#6104—22no—
669#6104—41no—
670#6104—41no—
671#6103—21no—
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#6103—21no—
691#6103—21no—
692#6103—21no—
693#6103—21no—
694#6103—21no—
695#6103—21no—
696#6103—21no—
697#6103C2×D411yescharacteristic
698#6103C2×D411yescharacteristic
699#6103C2×D411yescharacteristic
700#6103C2×D411yescharacteristic
701C4⋊Dic13—21no—
702C4⋊Dic13—21no—
703C4⋊Dic13—21no—
704C4⋊Dic13—21no—
705C4⋊Dic13C2×D411yescharacteristic
706C4⋊Dic13C2411yescharacteristic
707C4⋊Dic13C2411yescharacteristic
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#6101C2×D411yescharacteristic
717#6101C2×D411yescharacteristic
718C4×Dic13—21no—
719C4×Dic13—21no—
720C4×Dic13C2×D411yescharacteristic
721C4×Dic13C2×D411yescharacteristic
722C4×Dic13C2411yescharacteristic
723#6099—41no—
724#6099—41no—
725C2×#1055C2411yescharacteristic
726C2×#1055C2411yescharacteristic
727C2×#1055C2411yescharacteristic
728C2×#1055C2411yescharacteristic
729Dic52—41no—
730D104—22no—
731D104—22no—
732D104—41no—
733D104—41no—
734#6095—22no—
735#6095—41no—
736#6095—41no—
737#6095—41no—
738#6094—41no—
739#6094—41no—
740#6094—41no—
741#6094—41no—
742#3505—131no—
743C2×#546—131no—
744#3323—131no—
745#3323—131no—
746#3323—131no—
747#3323D1311yescharacteristic, complemented
748#3322—131no—
749#3322—131no—
750#3322—131no—
751#3322—131no—
752#3275—131no—
753#3275—131no—
754#3275—131no—
755#3275—131no—
756#3273—131no—
757#3273—131no—
758#3273—131no—
759#3273—131no—
760#3211—131no—
761#3211—131no—
762#3196—131no—
763#3196—131no—
764#3193—131no—
765#3192—131no—
766#3105—131no—
767#3105—131no—
768#3007—131no—
769#3006—131no—
770#3003—131no—
771#3003—131no—
772#2975—131no—
773C23×C13—21no—
774C23×C13—21no—
775C23×C13—42no—
776C23×C13—42no—
777C23×C13—81no—
778C23×C13C22×D411yescharacteristic
779C23×C13C22×D411yescharacteristic
780C22×D13—24no—
781C22×D13—21no—
782C22×D13—22no—
783C22×D13—22no—
784C22×D13—21no—
785C22×D13—21no—
786C22×D13—21no—
787C22×D13—41no—
788C22×D13—41no—
789C22×D13—41no—
790C22×D13—41no—
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—42no—
801C22×D13—42no—
802C22×D13—42no—
803C22×D13—81no—
804C22×D13—81no—
805C22×D13—81no—
806C22×D13—816no—
807C22×D13—81no—
808C22×D13—81no—
809C22×D13C22×D411yescharacteristic
810C22×D13C22×D411yescharacteristic
811C22×D13C22×D411yescharacteristic
812Q8×C13—21no—
813Q8×C13—21no—
814Q8×C13—21no—
815Q8×C13—21no—
816D4×C13—21no—
817D4×C13—21no—
818D4×C13—21no—
819D4×C13—41no—
820D4×C13—42no—
821D4×C13—42no—
822D4×C13—81no—
823D4×C13H(5,𝔽2)12yes—
824C2×C4×C13—21no—
825C2×C4×C13—21no—
826C2×C4×C13—21no—
827C2×C4×C13—21no—
828C2×C4×C13—21no—
829C2×C4×C13—21no—
830C2×C4×C13—21no—
831C2×C4×C13—21no—
832C2×C4×C13—21no—
833C2×C4×C13—21no—
834C2×C4×C13—42no—
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×C13C2511yescharacteristic
842C22⋊D13—24no—
843C22⋊D13—41no—
844C22⋊D13—41no—
845C22⋊D13—42no—
846C22⋊D13—42no—
847C22⋊D13—42no—
848C22⋊D13—42no—
849C22⋊D13—42no—
850C22⋊D13—81no—
851C22⋊D13—81no—
852C22⋊D13—81no—
853C22⋊D13—81no—
854C2×Dic13—21no—
855C2×Dic13—21no—
856C2×Dic13—21no—
857C2×Dic13—21no—
858C2×Dic13—41no—
859C2×Dic13—41no—
860C2×Dic13—42no—
861C2×Dic13—81no—
862C2×Dic13C22×D411yescharacteristic
863C2×Dic13C22×D411yescharacteristic
864C2×Dic13C22×D411yescharacteristic
865C2×Dic13C22×D411yescharacteristic
866C2×Dic13C22×D411yescharacteristic
867D52—21no—
868D52—21no—
869D52—21no—
870D52—21no—
871D52—21no—
872D52—21no—
873D52—21no—
874D52—41no—
875D52—42no—
876D52—42no—
877D52—42no—
878D52—42no—
879D52—42no—
880D52—42no—
881D52—81no—
882D52—81no—
883D52—81no—
884D52—81no—
885D52H(5,𝔽2)12yes—
886C4×D13—22no—
887C4×D13—21no—
888C4×D13—21no—
889C4×D13—21no—
890C4×D13—21no—
891C4×D13—21no—
892C4×D13—21no—
893C4×D13—41no—
894C4×D13—41no—
895C4×D13—41no—
896C4×D13—41no—
897C4×D13—41no—
898C4×D13—42no—
899C4×D13—42no—
900C4×D13—42no—
901C4×D13—42no—
902C4×D13—81no—
903C4×D13—81no—
904C4×D13—81no—
905C4×D13—81no—
906C4×D13—81no—
907C4×D13—81no—
908C4×D13—81no—
909C4×D13—81no—
910Dic26—21no—
911Dic26—21no—
912Dic26—21no—
913Dic26—21no—
914Dic26—42no—
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—
924C22×#41—131no—
925C23×D4—131no—
926C2×#137—131no—
927C2×#137—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—
933C2×AGL(1,ℤ/8)—131no—
934#553—131no—
935#553—131no—
936#553—261no—
937#553—261no—
938#552—131no—
939#552C2×D1311yescharacteristic, complemented
940#551—261no—
941#551—261no—
942#548—131no—
943#548—131no—
944#546—131no—
945#546—131no—
946#546—131no—
947#546—131no—
948#546—131no—
949#546—131no—
950#546—131no—
951#546—131no—
952#546—131no—
953#546—261no—
954#546—261no—
955#546—261no—
956#546—261no—
957#546C2×D1311yescharacteristic
958#539—261no—
959#538—261no—
960#534—261no—
961#529—131no—
962#529—131no—
963C2×#124—131no—
964#525—131no—
965#525—131no—
966C2×#123—261no—
967C2×C22⋊Q8—131no—
968C2×C22⋊Q8—131no—
969C2×#121—131no—
970C2×#121—131no—
971C2×#121—261no—
972C2×#120—261no—
973#518—261no—
974C2×C4×D4—131no—
975C2×C4×D4—131no—
976C22×C22⋊C4—261no—
977#495—131no—
978#495—131no—
979#495—131no—
980#495—131no—
981#488—131no—
982#488—131no—
983#488—131no—
984#488C2×D1311yescharacteristic, complemented
985#485—131no—
986#485—131no—
987#485—131no—
988#485C2×D1311yescharacteristic, complemented
989#484—131no—
990#484—131no—
991#481—131no—
992#481—131no—
993#481—131no—
994#481C2×D1311yescharacteristic, complemented
995#480—131no—
996#480—131no—
997#478—131no—
998#478—131no—
999#478—131no—
1000#478C2×D1311yescharacteristic, complemented
1001#470—131no—
1002#470—131no—
1003#470—131no—
1004#470C2×D1311yescharacteristic, complemented
1005#469—131no—
1006#469—131no—
1007#469—131no—
1008#469—131no—
1009#468—131no—
1010#468—131no—
1011#468—131no—
1012#468—131no—
1013#468—131no—
1014#468—131no—
1015#468—131no—
1016#468C2×D1311yescharacteristic, complemented
1017#464—131no—
1018#464—131no—
1019#464—131no—
1020#464C2×D1311yescharacteristic, complemented
1021#463—131no—
1022#463—131no—
1023#463—131no—
1024#463—131no—
1025#463—131no—
1026#463—131no—
1027#463—131no—
1028#463—131no—
1029#452—131no—
1030#452—131no—
1031#452—131no—
1032#452—131no—
1033#452—131no—
1034#452—131no—
1035#452—131no—
1036#452C2×D1311yescharacteristic, complemented
1037#451—131no—
1038#451—131no—
1039#450—131no—
1040#450—131no—
1041#450—131no—
1042#450—131no—
1043#450—131no—
1044#450—131no—
1045#450—131no—
1046#450C2×D1311yescharacteristic, complemented
1047#449—131no—
1048#449—131no—
1049#449—131no—
1050#449—131no—
1051#448—131no—
1052#448—131no—
1053#448—131no—
1054#448—131no—
1055#447—131no—
1056#447—131no—
1057#447—131no—
1058#447—131no—
1059#447—131no—
1060#447—131no—
1061#447—131no—
1062#447—131no—
1063#447—131no—
1064#447—131no—
1065C4×SD16—131no—
1066C4×SD16—131no—
1067C4×SD16—131no—
1068C4×SD16C2×D1311yescharacteristic, complemented
1069C4×D8—131no—
1070C4×D8—131no—
1071C4×D8—131no—
1072C4×D8—131no—
1073#436—131no—
1074#436—131no—
1075#436—131no—
1076#436—131no—
1077#436—131no—
1078#436—131no—
1079#436—131no—
1080#436C2×D1311yescharacteristic, complemented
1081#431—131no—
1082#431—131no—
1083#418—131no—
1084#418—131no—
1085#418—131no—
1086#418C2×D1311yescharacteristic, complemented
1087#417—131no—
1088#417—131no—
1089#417—131no—
1090#417C2×D1311yescharacteristic, complemented
1091#407—131no—
1092#407—131no—
1093#407—131no—
1094#407—131no—
1095C22×C13—21no—
1096C22×C13—21no—
1097C22×C13—22no—
1098C22×C13—21no—
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—84no—
1108C22×C13C23×D411yescharacteristic
1109C2×D13—21no—
1110C2×D13—21no—
1111C2×D13—21no—
1112C2×D13—21no—
1113C2×D13—21no—
1114C2×D13—21no—
1115C2×D13—22no—
1116C2×D13—21no—
1117C2×D13—21no—
1118C2×D13—48no—
1119C2×D13—44no—
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—41no—
1130C2×D13—41no—
1131C2×D13—82no—
1132C2×D13—84no—
1133C2×D13—84no—
1134C2×D13—84no—
1135C2×D13—84no—
1136C2×D13—162no—
1137C2×D13#57512yes—
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×C13—41no—
1148C4×C13C2×H(5,𝔽2)11yescharacteristic
1149C4×C13C2×H(5,𝔽2)11yescharacteristic
1150Dic13—21no—
1151Dic13—21no—
1152Dic13—21no—
1153Dic13—21no—
1154Dic13—21no—
1155Dic13—41no—
1156Dic13—41no—
1157Dic13—41no—
1158Dic13—41no—
1159C25—261no—
1160C2×#41—131no—
1161C2×#41—131no—
1162C2×#41—131no—
1163C2×#41—131no—
1164C2×#41—131no—
1165C2×#41—261no—
1166C2×#41—261no—
1167C2×#41—522no—
1168C2×#41—522no—
1169C2×#41C22×D1311yescharacteristic
1170C22×Q8—131no—
1171C22×Q8—131no—
1172C22×D4—131no—
1173C22×D4—131no—
1174C22×D4—131no—
1175C22×D4—131no—
1176C22×D4—131no—
1177C22×D4—131no—
1178C22×D4—131no—
1179C22×D4—261no—
1180C22×D4—261no—
1181C22×D4—261no—
1182C22×D4—261no—
1183C22×D4—261no—
1184C22×D4—261no—
1185C22×D4—522no—
1186C22×D4—522no—
1187C22×D4C22×D1311yescharacteristic
1188C23×C4—131no—
1189C23×C4—131no—
1190C23×C4—261no—
1191C23×C4—261no—
1192#137—522no—
1193#137—522no—
1194AGL(1,ℤ/8)—522no—
1195AGL(1,ℤ/8)—522no—
1196AGL(1,ℤ/8)—522no—
1197AGL(1,ℤ/8)—522no—
1198AGL(1,ℤ/8)—522no—
1199AGL(1,ℤ/8)—522no—
1200C2×Q16—131no—
1201C2×Q16—131no—
1202C2×Q16—131no—
1203C2×Q16C22×D1311yescharacteristic, complemented
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×SD16—131no—
1213C2×SD16—131no—
1214C2×SD16C22×D1311yescharacteristic
1215C2×SD16C22×D1311yescharacteristic
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×M16—131no—
1225C2×M16—131no—
1226C2×M16—131no—
1227C2×M16—131no—
1228C2×M16—131no—
1229C2×M16—131no—
1230C2×M16C22×D1311yescharacteristic
1231C2×M16C22×D1311yescharacteristic, complemented
1232#126—21no—
1233#126—261no—
1234#126—261no—
1235#126—261no—
1236#126—261no—
1237#126—261no—
1238#125—21no—
1239#125—131no—
1240#125—261no—
1241#125C22×D1311yescharacteristic, complemented
1242#124—131no—
1243#124—131no—
1244#124—131no—
1245#124—131no—
1246#124—131no—
1247#124—261no—
1248#124—261no—
1249#124—261no—
1250#124—261no—
1251#124C22×D1311yescharacteristic
1252#123—21no—
1253#123—21no—
1254#123—261no—
1255#123—261no—
1256#123—261no—
1257#123—261no—
1258#123—261no—
1259#123—261no—
1260#123—261no—
1261#123—261no—
1262#123—261no—
1263#123—261no—
1264#123—261no—
1265#123—261no—
1266#123—261no—
1267#123—261no—
1268#123—261no—
1269#123—261no—
1270C22⋊Q8—131no—
1271C22⋊Q8—131no—
1272C22⋊Q8—131no—
1273C22⋊Q8—131no—
1274C22⋊Q8—131no—
1275C22⋊Q8—131no—
1276C22⋊Q8—131no—
1277C22⋊Q8—261no—
1278C22⋊Q8—261no—
1279C22⋊Q8—261no—
1280C22⋊Q8—261no—
1281C22⋊Q8—261no—
1282C22⋊Q8—261no—
1283C22⋊Q8C22×D1311yescharacteristic
1284C22⋊Q8C22×D1311yescharacteristic
1285C22⋊Q8C22×D1311yescharacteristic, complemented
1286#121—21no—
1287#121—131no—
1288#121—131no—
1289#121—131no—
1290#121—131no—
1291#121—131no—
1292#121—131no—
1293#121—131no—
1294#121—131no—
1295#121—131no—
1296#121—261no—
1297#121—261no—
1298#121—261no—
1299#121—261no—
1300#121—261no—
1301#121—261no—
1302#121—261no—
1303#121—261no—
1304#121—261no—
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#121C22×D1311yescharacteristic
1314#120—21no—
1315#120—261no—
1316#120—261no—
1317#120—261no—
1318#120—261no—
1319#120—261no—
1320#120—261no—
1321#120—261no—
1322#120—261no—
1323#120—261no—
1324#120—261no—
1325#120—261no—
1326C4×Q8—131no—
1327C4×Q8C22×D1311yescharacteristic, complemented
1328C4×D4—131no—
1329C4×D4—131no—
1330C4×D4—131no—
1331C4×D4—131no—
1332C4×D4—131no—
1333C4×D4—131no—
1334C4×D4—131no—
1335C4×D4—131no—
1336C4×D4—131no—
1337C4×D4—131no—
1338C4×D4—131no—
1339C4×D4—131no—
1340C4×D4—261no—
1341C4×D4—261no—
1342C4×D4—261no—
1343C4×D4—261no—
1344C4×D4—261no—
1345C4×D4—261no—
1346C4×D4—261no—
1347C4×D4—261no—
1348C4×D4—261no—
1349C4×D4—261no—
1350C4×D4—261no—
1351C4×D4—261no—
1352C4×D4C22×D1311yescharacteristic
1353C4×D4C22×D1311yescharacteristic
1354#117—21no—
1355#117—131no—
1356#117—261no—
1357#117—261no—
1358#117—261no—
1359#117C22×D1311yescharacteristic
1360C2×C4⋊C4—131no—
1361C2×C4⋊C4—131no—
1362C2×C4⋊C4—131no—
1363C2×C4⋊C4—261no—
1364C2×C4⋊C4—261no—
1365C2×C4⋊C4C22×D1311yescharacteristic, complemented
1366C2×C22⋊C4—21no—
1367C2×C22⋊C4—131no—
1368C2×C22⋊C4—131no—
1369C2×C22⋊C4—261no—
1370C2×C22⋊C4—261no—
1371C2×C22⋊C4—261no—
1372C2×C22⋊C4—261no—
1373C2×C22⋊C4—261no—
1374C2×C22⋊C4—261no—
1375C2×C22⋊C4—261no—
1376C2×C22⋊C4—261no—
1377C2×C22⋊C4—261no—
1378C2×C22⋊C4—261no—
1379C2×C22⋊C4—261no—
1380C2×C22⋊C4—261no—
1381C2×C22⋊C4—261no—
1382C2×C22⋊C4—261no—
1383C2×C22⋊C4—261no—
1384C2×C22⋊C4—261no—
1385C2×C42—131no—
1386#107—131no—
1387#107—131no—
1388#107—131no—
1389#107C22×D1311yescharacteristic, complemented
1390#106—131no—
1391#106—131no—
1392#106C22×D1311yescharacteristic, complemented
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#103—131no—
1406#103C22×D1311yescharacteristic, complemented
1407#103C22×D1311yescharacteristic, complemented
1408#103C22×D1311yescharacteristic, complemented
1409#103C22×D1311yescharacteristic, complemented
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#102C22×D1311yescharacteristic
1425#102C22×D1311yescharacteristic
1426#102C22×D1311yescharacteristic
1427#102C22×D1311yescharacteristic
1428#102C22×D1311yescharacteristic
1429#102C22×D1311yescharacteristic
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
1442C4×C8—131no—
1443C4×C8—131no—
1444C4×C8—131no—
1445C4×C8C22×D1311yescharacteristic, complemented
1446C2×C13—41no—
1447C2×C13—42no—
1448C2×C13—41no—
1449C2×C13—81no—
1450C2×C13#348411yescharacteristic
1451C2×C13C2×#57511yescharacteristic
1452C2×C13#358511yescharacteristic
1453D13—22no—
1454D13—41no—
1455D13—41no—
1456D13—42no—
1457D13—81no—
1458D13—81no—
1459D13—81no—
1460C24—21no—
1461C24—131no—
1462C24—131no—
1463C24—261no—
1464C24—261no—
1465C24—261no—
1466C24—261no—
1467C24—261no—
1468C24—261no—
1469C24—524no—
1470C24—524no—
1471C24—1042no—
1472#41—22no—
1473#41—41no—
1474#41—262no—
1475#41—262no—
1476#41—262no—
1477#41—521no—
1478#41—521no—
1479#41—521no—
1480#41—524no—
1481#41—521no—
1482#41—521no—
1483#41—521no—
1484#41—521no—
1485#41—524no—
1486C2×Q8—131no—
1487C2×Q8—131no—
1488C2×Q8—261no—
1489C2×Q8—261no—
1490C2×Q8—521no—
1491C2×Q8—521no—
1492C2×Q8—521no—
1493C2×Q8—521no—
1494C2×Q8C23×D1311yescharacteristic
1495C2×Q8C23×D1311yescharacteristic
1496C2×D4—22no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—41no—
1501C2×D4—131no—
1502C2×D4—131no—
1503C2×D4—131no—
1504C2×D4—131no—
1505C2×D4—131no—
1506C2×D4—131no—
1507C2×D4—131no—
1508C2×D4—262no—
1509C2×D4—261no—
1510C2×D4—261no—
1511C2×D4—261no—
1512C2×D4—261no—
1513C2×D4—261no—
1514C2×D4—261no—
1515C2×D4—261no—
1516C2×D4—261no—
1517C2×D4—261no—
1518C2×D4—261no—
1519C2×D4—261no—
1520C2×D4—261no—
1521C2×D4—262no—
1522C2×D4—262no—
1523C2×D4—262no—
1524C2×D4—262no—
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—521no—
1534C2×D4—521no—
1535C2×D4—521no—
1536C2×D4—524no—
1537C2×D4—521no—
1538C2×D4—521no—
1539C2×D4—521no—
1540C2×D4—521no—
1541C2×D4—522no—
1542C2×D4—524no—
1543C2×D4—524no—
1544C2×D4—524no—
1545C2×D4—524no—
1546C2×D4—1042no—
1547C2×D4D4×D1311yescharacteristic
1548C2×D4C23×D1311yescharacteristic
1549C2×D4C23×D1311yescharacteristic
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—131no—
1554C22×C4—131no—
1555C22×C4—131no—
1556C22×C4—131no—
1557C22×C4—131no—
1558C22×C4—131no—
1559C22×C4—131no—
1560C22×C4—131no—
1561C22×C4—131no—
1562C22×C4—131no—
1563C22×C4—131no—
1564C22×C4—261no—
1565C22×C4—261no—
1566C22×C4—261no—
1567C22×C4—261no—
1568C22×C4—261no—
1569C22×C4—261no—
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—521no—
1579C22×C4—521no—
1580C22×C4—521no—
1581C22×C4—521no—
1582C22×C4—524no—
1583C22×C4—1042no—
1584C22×C4C23×D1311yescharacteristic
1585C22×C4C23×D1311yescharacteristic
1586Q16—41no—
1587Q16—521no—
1588Q16—521no—
1589Q16—521no—
1590SD16—22no—
1591SD16—41no—
1592SD16—262no—
1593SD16—262no—
1594SD16—262no—
1595SD16—521no—
1596SD16—521no—
1597SD16—521no—
1598SD16—521no—
1599SD16—521no—
1600SD16—521no—
1601SD16—521no—
1602D8—262no—
1603D8—262no—
1604D8—262no—
1605D8—262no—
1606D8—521no—
1607D8—521no—
1608D8—521no—
1609D8—521no—
1610M16—41no—
1611M16—41no—
1612M16—521no—
1613M16—521no—
1614M16—521no—
1615M16—521no—
1616M16—521no—
1617M16—521no—
1618C2×C8—131no—
1619C2×C8—131no—
1620C2×C8—131no—
1621C2×C8—131no—
1622C2×C8C23×D1311yescharacteristic
1623C2×C8C23×D1311yescharacteristic
1624C2×C8C23×D1311yescharacteristic
1625C2×C8C23×D1311yescharacteristic
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
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⋊C4D4×D1311yescharacteristic
1651C4⋊C4C23×D1311yescharacteristic
1652C4⋊C4C23×D1311yescharacteristic
1653C4⋊C4C23×D1311yescharacteristic
1654C4⋊C4C23×D1311yescharacteristic
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—131no—
1664C22⋊C4—131no—
1665C22⋊C4—131no—
1666C22⋊C4—131no—
1667C22⋊C4—131no—
1668C22⋊C4—131no—
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⋊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—21no—
1705C42—131no—
1706C42—131no—
1707C42—131no—
1708C42—261no—
1709C42—261no—
1710C42C23×D1311yescharacteristic
1711C13#6158111yescharacteristic, complemented, Sylow
1712C23—21no—
1713C23—21no—
1714C23—42no—
1715C23—42no—
1716C23—81no—
1717C23—131no—
1718C23—131no—
1719C23—131no—
1720C23—262no—
1721C23—262no—
1722C23—264no—
1723C23—261no—
1724C23—261no—
1725C23—261no—
1726C23—261no—
1727C23—521no—
1728C23—521no—
1729C23—521no—
1730C23—521no—
1731C23—522no—
1732C23—522no—
1733C23—522no—
1734C23—522no—
1735C23—522no—
1736C23—522no—
1737C23—522no—
1738C23—522no—
1739C23—522no—
1740C23—522no—
1741C23—522no—
1742C23—522no—
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—261no—
1756Q8—261no—
1757Q8—261no—
1758Q8—261no—
1759Q8—522no—
1760Q8—1041no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—41no—
1765D4—42no—
1766D4—42no—
1767D4—81no—
1768D4—132no—
1769D4—264no—
1770D4—261no—
1771D4—261no—
1772D4—261no—
1773D4—261no—
1774D4—261no—
1775D4—261no—
1776D4—261no—
1777D4—521no—
1778D4—522no—
1779D4—522no—
1780D4—522no—
1781D4—522no—
1782D4—522no—
1783D4—522no—
1784D4—521no—
1785D4—521no—
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#8825612yes—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—42no—
1811C2×C4—42no—
1812C2×C4—81no—
1813C2×C4—131no—
1814C2×C4—131no—
1815C2×C4—131no—
1816C2×C4—131no—
1817C2×C4—131no—
1818C2×C4—262no—
1819C2×C4—261no—
1820C2×C4—261no—
1821C2×C4—261no—
1822C2×C4—261no—
1823C2×C4—261no—
1824C2×C4—261no—
1825C2×C4—261no—
1826C2×C4—261no—
1827C2×C4—261no—
1828C2×C4—261no—
1829C2×C4—521no—
1830C2×C4—521no—
1831C2×C4—521no—
1832C2×C4—521no—
1833C2×C4—521no—
1834C2×C4—522no—
1835C2×C4—522no—
1836C2×C4—522no—
1837C2×C4—522no—
1838C2×C4—521no—
1839C2×C4—521no—
1840C2×C4—522no—
1841C2×C4—1041no—
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—84no—
1876C22—132no—
1877C22—261no—
1878C22—261no—
1879C22—261no—
1880C22—261no—
1881C22—262no—
1882C22—261no—
1883C22—261no—
1884C22—261no—
1885C22—261no—
1886C22—528no—
1887C22—524no—
1888C22—521no—
1889C22—521no—
1890C22—521no—
1891C22—521no—
1892C22—521no—
1893C22—521no—
1894C22—521no—
1895C22—521no—
1896C22—521no—
1897C22—521no—
1898C22—521no—
1899C22—1042no—
1900C22—1044no—
1901C22—1044no—
1902C22—1044no—
1903C22—1044no—
1904C22—2082no—
1905C22C22×D4×D1311yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—261no—
1917C4—261no—
1918C4—261no—
1919C4—261no—
1920C4—261no—
1921C4—521no—
1922C4—521no—
1923C4—521no—
1924C4—521no—
1925C4C2×#8825611yescharacteristic
1926C4D13×H(5,𝔽2)11yescharacteristic
1927C2—41no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—262no—
1932C2—521no—
1933C2—521no—
1934C2—522no—
1935C2—1041no—
1936C2—1041no—
1937C2—1041no—
1938C2#1312846611yescharacteristic
1939C2D13×#57511yescharacteristic
1940C2#1312961411yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3323C2
socleC22×C13C23×D4
hypercenter#3323D13
hypocenterC13#61581
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #13128676C2semidirect
2. D13×#546C2semidirect
3. #13127055C2semidirect
4. #13127053C2semidirect
5. #13127046C2semidirect
6. #13127036C2semidirect
7. #13127035C2semidirect
8. #13127034C2semidirect
9. #13127033C2semidirect
10. #13126471C2semidirect
11. #13126469C2semidirect
12. #13126464C2semidirect
13. #13126462C2semidirect
14. #13126448C2semidirect
15. #13126444C2semidirect
16. #13126443C2semidirect
17. #13126440C2semidirect
18. #13125805C2semidirect
19. #13125802C2semidirect
20. #13125670C2semidirect
21. #13125667C2semidirect
22. #13125637C2semidirect
23. #13125635C2semidirect
24. #13124888C2semidirect
25. #13124887C2semidirect
26. #13124093C2semidirect
27. #13124089C2semidirect
28. #13124065C2semidirect
29. #13124064C2semidirect
30. #13123874C2semidirect
31. C13×#3323C2semidirect
33. C22×D4×D13C22semidirect
34. C13×#552C22semidirect
37. C2×#88203C22semidirect
38. #11719511C22semidirect
39. C2×#88186C22semidirect
40. C2×#88172C22semidirect
41. C2×#88169C22semidirect
42. C2×#88168C22semidirect
43. C2×#88168C22semidirect
44. C2×#88162C22semidirect
45. C2×#88162C22semidirect
49. #11719400C22semidirect
51. #11719396C22semidirect
52. #11719381C22semidirect
53. D13×#124C22semidirect
58. #11719338C22semidirect
59. #11719335C22semidirect
60. #11719335C22semidirect
62. D13×C22⋊Q8C22semidirect
63. D13×C22⋊Q8C22semidirect
70. #11719285C22semidirect
71. #11719281C22semidirect
72. #11719259C22semidirect
74. #11719255C22semidirect
76. C4×D4×D13C22semidirect
77. #11719235C22semidirect
81. #11719218C22semidirect
82. C2×#88149C22semidirect
85. C13×#488C22semidirect
86. C13×#485C22semidirect
87. C13×#481C22semidirect
88. C13×#478C22semidirect
89. C13×#470C22semidirect
90. C13×#468C22semidirect
91. C13×#464C22semidirect
92. C13×#452C22semidirect
93. C13×#450C22semidirect
94. C4×C13×SD16C22semidirect
95. C13×#436C22semidirect
96. C13×#418C22semidirect
97. C13×#417C22semidirect
98. #11718900C22semidirect
99. #11718878C22semidirect
100. #11718852C22semidirect
101. #11718848C22semidirect
102. #11718847C22semidirect
103. #11718831C22semidirect
104. #11718830C22semidirect
105. #11718830C22semidirect
106. #11718829C22semidirect
107. #11718826C22semidirect
108. #11718795C22semidirect
109. #11718795C22semidirect
110. #11718789C22semidirect
111. #11718789C22semidirect
112. #11718787C22semidirect
113. #11718787C22semidirect
114. #11718729C22semidirect
115. #11718727C22semidirect
116. #11718720C22semidirect
117. #11718718C22semidirect
118. #11718713C22semidirect
119. #11718710C22semidirect
120. #11718710C22semidirect
121. #11718708C22semidirect
122. #11718708C22semidirect
123. #11718707C22semidirect
124. #11718703C22semidirect
125. #11718697C22semidirect
126. #11718689C22semidirect
127. C4×#6106C22semidirect
128. #11718677C22semidirect
129. C4×#6104C22semidirect
130. #11718673C22semidirect
131. #11718662C22semidirect
132. #11718657C22semidirect
133. #11718629C22semidirect
134. #11718627C22semidirect
135. #11718547C22semidirect
136. #11718545C22semidirect
137. #11718543C22semidirect
138. #11718533C22semidirect
139. #11718532C22semidirect
140. #11718529C22semidirect
141. #11718528C22semidirect
142. #11718526C22semidirect
143. #11718526C22semidirect
144. #11718524C22semidirect
145. #11718524C22semidirect
146. #11718513C22semidirect
147. #11718505C22semidirect
148. #11718505C22semidirect
149. #11718499C22semidirect
150. #11718494C22semidirect
151. #11718480C22semidirect
152. #11718480C22semidirect
153. #11718477C22semidirect
154. #11718475C22semidirect
155. #11718473C22semidirect
156. #11718472C22semidirect
157. #11718472C22semidirect
158. #11718471C22semidirect
159. #11718470C22semidirect
160. #11718469C22semidirect
161. #11718467C22semidirect
162. #11718467C22semidirect
163. #11718467C22semidirect
164. #11718464C22semidirect
165. #11718461C22semidirect
166. #11718459C22semidirect
167. #11718448C22semidirect
168. #11718443C22semidirect
169. #11718443C22semidirect
170. #11718442C22semidirect
171. #11718442C22semidirect
172. #11718437C22semidirect
173. #11718437C22semidirect
174. #11718437C22semidirect
175. #11718437C22semidirect
176. #11718435C22semidirect
181. #11718434C22semidirect
182. #11718434C22semidirect
183. #11718432C22semidirect
184. #11718431C22semidirect
185. #11718431C22semidirect
186. #11718429C22semidirect
187. #11718428C22semidirect
188. #11718427C22semidirect
189. #11718419C22semidirect
190. #11718417C22semidirect
191. #11718394C22semidirect
192. #11718394C22semidirect
193. #11718393C22semidirect
194. #11718393C22semidirect
195. #11718390C22semidirect
196. #11718390C22semidirect
197. #11718387C22semidirect
198. #11718387C22semidirect
199. #11718357C22semidirect
200. C4×D104C22semidirect
201. #11718349C22semidirect
202. #11718346C22semidirect
212. C2×Q8×D13C23semidirect
231. C22×D52C23semidirect
236. C2×C13×Q16C23semidirect
240. C2×C13×M16C23semidirect
243. C13×#125C23semidirect
249. C13×C22⋊Q8C23semidirect
253. C4×Q8×C13C23semidirect
258. C2×C13×C4⋊C4C23semidirect
264. #88201C23semidirect
267. C2×#6107C23semidirect
268. C2×#6107C23semidirect
271. C2×#6106C23semidirect
272. C2×#6106C23semidirect
306. #88178C23semidirect
308. C2×#6099C23semidirect
315. C2×Dic52C23semidirect
322. C2×#6095C23semidirect
323. C2×#6095C23semidirect
326. C2×#6094C23semidirect
327. C2×#6094C23semidirect
349. #88149C23semidirect
350. #88149C23semidirect
365. #88147C23semidirect
372. C4⋊C4×D13C23semidirect
373. #88144C23semidirect
375. #88141C23semidirect
419. #88129C23semidirect
427. C4×D52C23semidirect
430. C13×#107C23semidirect
431. C13×#106C23semidirect
432. C13×#106C23semidirect
433. C13×C4⋊C8C23semidirect
434. C13×#103C23semidirect
435. C13×#103C23semidirect
436. C13×#103C23semidirect
437. C13×#103C23semidirect
445. C13×C22⋊C8C23semidirect
446. C4×C8×C13C23semidirect
447. #88075C23semidirect
448. #88075C23semidirect
452. C22⋊#1055C23semidirect
455. #88061C23semidirect
456. #88061C23semidirect
463. #88060C23semidirect
464. #88060C23semidirect
465. #88058C23semidirect
466. #88056C23semidirect
467. #88056C23semidirect
468. #88054C23semidirect
469. #88054C23semidirect
470. C8×Dic13C23semidirect
471. C8×Dic13C23semidirect
472. #88050C23semidirect
473. #88050C23semidirect
474. #88050C23semidirect
475. #88050C23semidirect
482. #88049C23semidirect
483. #88049C23semidirect
484. #88048C23semidirect
485. #88048C23semidirect
486. #88047C23semidirect
487. #88047C23semidirect
488. C4⋊#1055C23semidirect
489. C4×#1055C23semidirect
747. #3323D13semidirect
939. #552C2×D13semidirect
984. #488C2×D13semidirect
988. #485C2×D13semidirect
994. #481C2×D13semidirect
1000. #478C2×D13semidirect
1004. #470C2×D13semidirect
1016. #468C2×D13semidirect
1020. #464C2×D13semidirect
1036. #452C2×D13semidirect
1046. #450C2×D13semidirect
1068. C4×SD16C2×D13semidirect
1080. #436C2×D13semidirect
1086. #418C2×D13semidirect
1090. #417C2×D13semidirect
1203. C2×Q16C22×D13semidirect
1231. C2×M16C22×D13semidirect
1241. #125C22×D13semidirect
1285. C22⋊Q8C22×D13semidirect
1327. C4×Q8C22×D13semidirect
1365. C2×C4⋊C4C22×D13semidirect
1389. #107C22×D13semidirect
1392. #106C22×D13semidirect
1393. #106C22×D13semidirect
1397. C4⋊C8C22×D13semidirect
1406. #103C22×D13semidirect
1407. #103C22×D13semidirect
1408. #103C22×D13semidirect
1409. #103C22×D13semidirect
1441. C22⋊C8C22×D13semidirect
1445. C4×C8C22×D13semidirect
1711. C13#61581semidirect

Maximal subgroups

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

subgroupindex
#131286762
D13×#5462
#131270552
#131270532
#131270462
#131270362
#131270352
#131270342
#131270332
#131264712
#131264692
#131264642
#131264622
#131264482
#131264442
#131264432
#131264402
#131258052
#131258022
#131256702
#131256672
#131256372
#131256352
#131248882
#131248872
#131240932
#131240892
#131240652
#131240642
#131238742
C13×#33232
#6158113