Finite Group Databasebeta

← #16748281

Subgroups — #16748281

Order 3328.

2250 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128882C211yesmaximal, characteristic, complemented
2D13×#546C211yesmaximal, characteristic, complemented
3#13127046C211yesmaximal, characteristic, complemented
4#13126875C211yesmaximal, characteristic, complemented
5#13126873C211yesmaximal, characteristic, complemented
6#13126800C211yesmaximal, characteristic, complemented
7#13126798C211yesmaximal, characteristic, complemented
8#13126670C211yesmaximal, characteristic, complemented
9#13126668C211yesmaximal, characteristic, complemented
10#13126545C211yesmaximal, characteristic, complemented
11#13126538C211yesmaximal, characteristic, complemented
12#13126472C211yesmaximal, characteristic, complemented
13#13126463C211yesmaximal, characteristic, complemented
14#13126368C211yesmaximal, characteristic, complemented
15#13126359C211yesmaximal, characteristic, complemented
16#13126353C211yesmaximal, characteristic, complemented
17#13126344C211yesmaximal, characteristic, complemented
18#13125837C211yesmaximal, characteristic, complemented
19#13125802C211yesmaximal, characteristic, complemented
20#13125656C211yesmaximal, characteristic, complemented
21#13125651C211yesmaximal, characteristic, complemented
22#13125621C211yesmaximal, characteristic, complemented
23#13125595C211yesmaximal, characteristic, complemented
24#13124979C211yesmaximal, characteristic, complemented
25#13124842C211yesmaximal, characteristic, complemented
26#13124097C211yesmaximal, characteristic, complemented
27#13124065C211yesmaximal, characteristic, complemented
28#13124057C211yesmaximal, characteristic, complemented
29D13×#450C211yesmaximal, characteristic, complemented
30#13123868C211yesmaximal, characteristic, complemented
31C13×#3323C211yesmaximal, characteristic, complemented
32C2×#41×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C13×#552C2211yescharacteristic, complemented
35C13×#546C2211yescharacteristic
36#11719534C2211yescharacteristic
37C2×#88205C2211yescharacteristic, complemented
38#11719511C2211yescharacteristic
39C2×#88186C2211yescharacteristic, complemented
40C2×#88173C2211yescharacteristic, complemented
41C2×#88170C2211yescharacteristic, complemented
42C2×SD16×D13C2211yescharacteristic, complemented
43C2×SD16×D13C2211yescharacteristic, complemented
44C2×#88163C2211yescharacteristic, complemented
45C2×#88162C2211yescharacteristic, complemented
46#11719415—21no—
47#11719410—21no—
48#11719399C2211yescharacteristic, complemented
49#11719397—21no—
50#11719396C2211yescharacteristic, complemented
51#11719395—21no—
52#11719381C2211yescharacteristic
53D13×#124C2211yescharacteristic
54#11719370—21no—
55#11719359—21no—
56#11719359—21no—
57D13×#123—21no—
58#11719337C2211yescharacteristic, complemented
59#11719336C2211yescharacteristic, complemented
60#11719335C2211yescharacteristic
61#11719332C2211yescharacteristic, complemented
62D13×C22⋊Q8C2211yescharacteristic
63D13×C22⋊Q8C2211yescharacteristic
64#11719317C2211yescharacteristic
65#11719315—21no—
66D13×#121—21no—
67D13×#121C2211yescharacteristic
68#11719296—21no—
69D13×#120—21no—
70#11719283C2211yescharacteristic, complemented
71#11719281C2211yescharacteristic, complemented
72#11719259C2211yescharacteristic
73#11719257C2211yescharacteristic, complemented
74#11719255C2211yescharacteristic
75C4×D4×D13C2211yescharacteristic
76C4×D4×D13C2211yescharacteristic
77#11719238C2211yescharacteristic, complemented
78#11719232—21no—
79#11719229C2211yescharacteristic
80#11719228—21no—
81C2×#88151C2211yescharacteristic, complemented
82#11719212C2211yescharacteristic, 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#11718899C2211yescharacteristic, complemented
99#11718879C2211yescharacteristic, complemented
100#11718851C2211yescharacteristic, complemented
101#11718847C2211yescharacteristic, complemented
102#11718847C2211yescharacteristic, complemented
103#11718833C2211yescharacteristic, complemented
104#11718830C2211yescharacteristic
105#11718830C2211yescharacteristic
106#11718828C2211yescharacteristic, complemented
107#11718823C2211yescharacteristic, complemented
108#11718798C2211yescharacteristic, complemented
109#11718796C2211yescharacteristic, complemented
110#11718788C2211yescharacteristic, complemented
111#11718788C2211yescharacteristic, complemented
112#11718787C2211yescharacteristic
113#11718787C2211yescharacteristic, complemented
114#11718729C2211yescharacteristic, complemented
115#11718727C2211yescharacteristic, complemented
116#11718720C2211yescharacteristic, complemented
117#11718715C2211yescharacteristic, complemented
118#11718713C2211yescharacteristic, complemented
119#11718713C2211yescharacteristic, complemented
120#11718710C2211yescharacteristic, complemented
121#11718708C2211yescharacteristic, complemented
122#11718708C2211yescharacteristic, complemented
123#11718707C2211yescharacteristic, complemented
124#11718701C2211yescharacteristic, complemented
125#11718700C2211yescharacteristic, complemented
126#11718689C2211yescharacteristic, complemented
127C4×#6106C2211yescharacteristic, complemented
128C4×#6105C2211yescharacteristic, complemented
129#11718677C2211yescharacteristic, complemented
130#11718673C2211yescharacteristic, complemented
131#11718662C2211yescharacteristic, complemented
132#11718657C2211yescharacteristic, complemented
133#11718629C2211yescharacteristic, complemented
134#11718627C2211yescharacteristic, complemented
135#11718550C2211yescharacteristic, complemented
136#11718548C2211yescharacteristic, complemented
137#11718546C2211yescharacteristic, complemented
138#11718543C2211yescharacteristic, complemented
139#11718531C2211yescharacteristic, complemented
140#11718530C2211yescharacteristic, complemented
141#11718525C2211yescharacteristic, complemented
142#11718525C2211yescharacteristic, complemented
143#11718525C2211yescharacteristic, complemented
144#11718523C2211yescharacteristic, complemented
145#11718523C2211yescharacteristic, complemented
146#11718523C2211yescharacteristic, complemented
147#11718506C2211yescharacteristic, complemented
148#11718505C2211yescharacteristic, complemented
149#11718496C2211yescharacteristic, complemented
150#11718495C2211yescharacteristic, complemented
151#11718480C2211yescharacteristic, complemented
152#11718479C2211yescharacteristic, complemented
153#11718474C2211yescharacteristic, complemented
154#11718472C2211yescharacteristic, complemented
155#11718471C2211yescharacteristic, complemented
156#11718471C2211yescharacteristic, complemented
157#11718469C2211yescharacteristic, complemented
158#11718469C2211yescharacteristic, complemented
159#11718469C2211yescharacteristic, complemented
160#11718468C2211yescharacteristic, complemented
161#11718467C2211yescharacteristic, complemented
162#11718466C2211yescharacteristic, complemented
163#11718466C2211yescharacteristic, complemented
164#11718465C2211yescharacteristic, complemented
165#11718459C2211yescharacteristic, complemented
166#11718456C2211yescharacteristic, complemented
167#11718448C2211yescharacteristic, complemented
168#11718446C2211yescharacteristic, complemented
169#11718444C2211yescharacteristic, complemented
170#11718444C2211yescharacteristic, complemented
171#11718440C2211yescharacteristic, complemented
172#11718439C2211yescharacteristic, complemented
173#11718439C2211yescharacteristic, complemented
174#11718437C2211yescharacteristic
175#11718437C2211yescharacteristic
176#11718437C2211yescharacteristic
177#11718437C2211yescharacteristic
178#11718437C2211yescharacteristic, complemented
179#11718437C2211yescharacteristic, complemented
180#11718434C2211yescharacteristic
181#11718434C2211yescharacteristic
182#11718434C2211yescharacteristic, complemented
183#11718434C2211yescharacteristic, complemented
184#11718433C2211yescharacteristic, complemented
185D13×#102C2211yescharacteristic, complemented
186D13×#102C2211yescharacteristic, complemented
187#11718428C2211yescharacteristic, complemented
188#11718426C2211yescharacteristic, complemented
189#11718422C2211yescharacteristic, complemented
190#11718418C2211yescharacteristic, complemented
191#11718399C2211yescharacteristic, complemented
192#11718395C2211yescharacteristic, complemented
193#11718394C2211yescharacteristic, complemented
194#11718392C2211yescharacteristic, complemented
195#11718389C2211yescharacteristic, complemented
196#11718389C2211yescharacteristic, complemented
197D13×C22⋊C8C2211yescharacteristic
198D13×C22⋊C8C2211yescharacteristic, complemented
199#11718357C2211yescharacteristic, complemented
200C4×#6095C2211yescharacteristic, complemented
201C8×D52C2211yescharacteristic, 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, complemented
211C2×Q8×D13C2311yescharacteristic
212C2×Q8×D13C2311yescharacteristic
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×#6127—21no—
228C2×#6127C2311yescharacteristic
229C2×#6127C2311yescharacteristic
230C22×D52C2311yescharacteristic
231C22×C4×D13—21no—
232C22×C4×D13—21no—
233C22×C4×D13C2311yescharacteristic
234C22×C4×D13C2311yescharacteristic
235C22×Dic26C2311yescharacteristic, complemented
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#88205—42no—
263#88201C2311yescharacteristic
264#88200C2311yescharacteristic
265#88200C2311yescharacteristic
266#88198C2311yescharacteristic, complemented
267C2×#6107C2311yescharacteristic, complemented
268C2×#6107C2311yescharacteristic, complemented
269C2×#6107C2311yescharacteristic, complemented
270C2×#6106C2311yescharacteristic
271C2×#6106C2311yescharacteristic
272C2×#6106C2311yescharacteristic, complemented
273#88193—21no—
274#88193—21no—
275#88193—21no—
276#88193—21no—
277#88192—21no—
278#88192C2311yescharacteristic
279#88191—21no—
280#88191—21no—
281#88191—21no—
282#88190C2311yescharacteristic
283#88189—21no—
284D4×Dic13D411yescharacteristic
285D4×Dic13C2311yescharacteristic
286C2×#6105C2311yescharacteristic
287C2×#6105C2311yescharacteristic
288C2×#6105C2311yescharacteristic
289C2×#6105C2311yescharacteristic
290#88186—42no—
291C2×#6104C2311yescharacteristic
292C2×#6104C2311yescharacteristic
293#88184—21no—
294#88184C2311yescharacteristic
295#88184C2311yescharacteristic, complemented
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—
304C2×C4⋊Dic13—21no—
305#88178C2311yescharacteristic
306#88178C2311yescharacteristic
307C2×#6099C2311yescharacteristic
308C2×#6099C2311yescharacteristic, complemented
309#88173—42no—
310#88170—42no—
311SD16×D13—42no—
312SD16×D13—42no—
313#88163—42no—
314#88162—42no—
315C2×Dic52C2311yescharacteristic, complemented
316C2×Dic52C2311yescharacteristic, complemented
317C2×D104C2311yescharacteristic
318C2×D104C2311yescharacteristic
319C2×#6095C2311yescharacteristic
320C2×#6095C2311yescharacteristic
321C2×#6095C2311yescharacteristic
322C2×#6095C2311yescharacteristic
323C2×#6095C2311yescharacteristic, complemented
324C2×C8×D13C2311yescharacteristic
325C2×C8×D13C2311yescharacteristic
326C2×C8×D13C2311yescharacteristic, complemented
327C2×C8×D13C2311yescharacteristic, complemented
328#88152—21no—
329#88152—21no—
330#88151—21no—
331#88151—21no—
332#88151—21no—
333#88151C2311yescharacteristic
334#88151C2311yescharacteristic
335#88151C2311yescharacteristic
336#88151C2311yescharacteristic
337#88151C2311yescharacteristic, complemented
338#88151C2311yescharacteristic, complemented
339#88150—21no—
340#88150—21no—
341#88150—21no—
342#88150—21no—
343#88150—21no—
344#88150—21no—
345#88149—21no—
346#88149—21no—
347#88149C2311yescharacteristic
348#88149C2311yescharacteristic
349#88149C2311yescharacteristic
350#88148—21no—
351#88148—21no—
352#88148—21no—
353#88148—21no—
354#88148—21no—
355#88148—21no—
356#88148—21no—
357#88147—21no—
358#88147—21no—
359#88147D411yescharacteristic
360#88147C2311yescharacteristic
361#88147C2311yescharacteristic, complemented
362#88146—21no—
363#88146—21no—
364#88146C2311yescharacteristic, complemented
365C4⋊C4×D13—21no—
366C4⋊C4×D13—21no—
367C4⋊C4×D13—21no—
368C4⋊C4×D13D411yescharacteristic
369C4⋊C4×D13C2311yescharacteristic
370C4⋊C4×D13C2311yescharacteristic
371#88144—21no—
372#88143—21no—
373#88142—21no—
374#88142C2311yescharacteristic, complemented
375#88141C2311yescharacteristic, complemented
376#88140—21no—
377#88140—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#88137—21no—
387#88137—21no—
388#88137—21no—
389#88136—21no—
390#88136—21no—
391#88136—21no—
392#88136—21no—
393#88136—21no—
394#88135—21no—
395#88135—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×D13D411yescharacteristic
411C22⋊C4×D13D411yescharacteristic
412#88133—21no—
413#88132—21no—
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×D52C2311yescharacteristic
424C4×D52C2311yescharacteristic
425#88126—21no—
426C42×D13C2311yescharacteristic
427C4×Dic26—21no—
428C4×Dic26—21no—
429C4×Dic26C2311yescharacteristic, complemented
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#88060C2311yescharacteristic
457#88060C2311yescharacteristic
458#88060C2311yescharacteristic
459#88060C2311yescharacteristic
460#88060C2311yescharacteristic
461#88060C2311yescharacteristic
462#88060C2311yescharacteristic, complemented
463#88060C2311yescharacteristic, complemented
464#88057C2311yescharacteristic, complemented
465#88056C2311yescharacteristic, complemented
466#88056C2311yescharacteristic, complemented
467#88056C2311yescharacteristic, complemented
468#88055C2311yescharacteristic, complemented
469#88055C2311yescharacteristic, complemented
470#88054C2311yescharacteristic, complemented
471#88054C2311yescharacteristic, complemented
472#88050C2311yescharacteristic, complemented
473#88050C2311yescharacteristic, complemented
474#88050C2311yescharacteristic, complemented
475#88050C2311yescharacteristic, complemented
476#88050C2311yescharacteristic, complemented
477#88049C2311yescharacteristic
478#88049C2311yescharacteristic
479#88049C2311yescharacteristic
480#88049C2311yescharacteristic
481#88049C2311yescharacteristic
482#88049C2311yescharacteristic
483#88049C2311yescharacteristic, complemented
484#88048C2311yescharacteristic, complemented
485#88048C2311yescharacteristic, complemented
486#88048C2311yescharacteristic, complemented
487#88047C2311yescharacteristic, complemented
488C4⋊#1055C2311yescharacteristic, complemented
489C4×#1055C2311yescharacteristic, complemented
490#61601—131nomaximal, Sylow
491C24×C13—21no—
492C23×D13—21no—
493C23×D13—21no—
494C23×D13—21no—
495C23×D13—21no—
496C23×D13—21no—
497C23×D13—44no—
498C23×D13—44no—
499C23×D13—82no—
500C23×D13C2×D411yescharacteristic
501C23×D13C2×D411yescharacteristic
502C13×#41—22no—
503C13×#41—41no—
504C2×Q8×C13C2411yescharacteristic
505C2×Q8×C13C2411yescharacteristic
506C2×D4×C13—22no—
507C2×D4×C13—21no—
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13—41no—
511C2×D4×C13C2×D411yescharacteristic
512C2×D4×C13C2411yescharacteristic
513C2×D4×C13C2411yescharacteristic
514C22×C4×C13—21no—
515C22×C4×C13—21no—
516C22×C4×C13—21no—
517C22×C4×C13C2411yescharacteristic
518C22×C4×C13C2411yescharacteristic
519C2×C22⋊D13—21no—
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—44no—
530C2×C22⋊D13C2×D411yescharacteristic
531C2×C22⋊D13C2×D411yescharacteristic
532C22×Dic13—21no—
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—
566#6127—44no—
567C2×D52—22no—
568C2×D52—21no—
569C2×D52—21no—
570C2×D52—21no—
571C2×D52—21no—
572C2×D52—21no—
573C2×D52—21no—
574C2×D52—41no—
575C2×D52C2×D411yescharacteristic
576C2×D52C2411yescharacteristic
577C2×D52C2411yescharacteristic
578C2×D52C2411yescharacteristic
579C2×C4×D13—21no—
580C2×C4×D13—21no—
581C2×C4×D13—21no—
582C2×C4×D13—21no—
583C2×C4×D13—21no—
584C2×C4×D13—21no—
585C2×C4×D13—21no—
586C2×C4×D13—21no—
587C2×C4×D13—21no—
588C2×C4×D13—21no—
589C2×C4×D13—21no—
590C2×C4×D13—41no—
591C2×C4×D13—41no—
592C2×C4×D13—41no—
593C2×C4×D13—41no—
594C2×C4×D13—44no—
595C2×C4×D13—82no—
596C2×C4×D13C2×D411yescharacteristic
597C2×C4×D13C2×D411yescharacteristic
598C2×C4×D13C2×D411yescharacteristic
599C2×C4×D13C2×D411yescharacteristic
600C2×C4×D13C2×D411yescharacteristic
601C2×C4×D13C2×D411yescharacteristic
602C2×C4×D13C2411yescharacteristic
603C2×C4×D13C2411yescharacteristic
604C2×C4×D13C2411yescharacteristic
605C2×Dic26—21no—
606C2×Dic26—21no—
607C2×Dic26—21no—
608C2×Dic26—21no—
609C2×Dic26—41no—
610C2×Dic26—41no—
611C2×Dic26C2411yescharacteristic
612C2×Dic26C2411yescharacteristic
613C2×Dic26C2411yescharacteristic
614C13×Q16—41no—
615C13×SD16—22no—
616C13×SD16—41no—
617C13×M16—41no—
618C13×M16—41no—
619C2×C8×C13C2411yescharacteristic
620C2×C8×C13C2411yescharacteristic
621C2×C8×C13C2411yescharacteristic
622C2×C8×C13C2411yescharacteristic
623C13×C4⋊C4—21no—
624C13×C4⋊C4—21no—
625C13×C4⋊C4—21no—
626C13×C4⋊C4—21no—
627C13×C4⋊C4—21no—
628C13×C4⋊C4—21no—
629C13×C4⋊C4—21no—
630C13×C4⋊C4C2×D411yescharacteristic
631C13×C4⋊C4C2411yescharacteristic
632C13×C4⋊C4C2411yescharacteristic
633C13×C4⋊C4C2411yescharacteristic
634C13×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
643C13×C22⋊C4C2×D411yescharacteristic
644C13×C22⋊C4C2×D411yescharacteristic
645C42×C13—21no—
646C42×C13—21no—
647C42×C13C2411yescharacteristic
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#6107—41no—
659#6106—22no—
660#6106—41no—
661#6106—41no—
662#6105—22no—
663#6105—22no—
664#6105—41no—
665#6105—41no—
666#6104—22no—
667#6104—41no—
668#6103—21no—
669#6103—21no—
670#6103—21no—
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#6103C2×D411yescharacteristic
692#6103C2×D411yescharacteristic
693#6103C2×D411yescharacteristic
694#6103C2×D411yescharacteristic
695C4⋊Dic13—21no—
696C4⋊Dic13—21no—
697C4⋊Dic13—21no—
698C4⋊Dic13—21no—
699C4⋊Dic13—21no—
700C4⋊Dic13—21no—
701C4⋊Dic13C2×D411yescharacteristic
702C4⋊Dic13C2411yescharacteristic
703C4⋊Dic13C2411yescharacteristic
704#6101—21no—
705#6101—21no—
706#6101—21no—
707#6101—21no—
708#6101—21no—
709#6101—21no—
710#6101—21no—
711#6101—21no—
712#6101—21no—
713#6101—21no—
714#6101—21no—
715#6101C2×D411yescharacteristic
716#6101C2×D411yescharacteristic
717C4×Dic13—21no—
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—
730Dic52—41no—
731D104—22no—
732D104—41no—
733#6095—22no—
734#6095—22no—
735#6095—41no—
736#6095—41no—
737#6095—41no—
738C8×D13—41no—
739C8×D13—41no—
740C8×D13—41no—
741C8×D13—41no—
742#3520—131no—
743C2×#546—131no—
744#3323—131no—
745#3323D1311yescharacteristic, complemented
746#3311—131no—
747#3311—131no—
748#3306—131no—
749#3306—131no—
750#3296—131no—
751#3296—131no—
752#3282—131no—
753#3282—131no—
754#3275—131no—
755#3275—131no—
756#3267—131no—
757#3267—131no—
758#3266—131no—
759#3266—131no—
760#3215—131no—
761#3211—131no—
762#3195—131no—
763#3194—131no—
764#3190—131no—
765#3187—131no—
766#3114—131no—
767#3101—131no—
768#3007—131no—
769#3003—131no—
770#3002—131no—
771C2×#450—131no—
772#2974—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—22no—
785C22×D13—21no—
786C22×D13—21no—
787C22×D13—41no—
788C22×D13—41no—
789C22×D13—41no—
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—42no—
801C22×D13—81no—
802C22×D13—81no—
803C22×D13—81no—
804C22×D13—816no—
805C22×D13C22×D411yescharacteristic
806C22×D13C22×D411yescharacteristic
807C22×D13C22×D411yescharacteristic
808Q8×C13—21no—
809Q8×C13—21no—
810Q8×C13—21no—
811Q8×C13—21no—
812D4×C13—21no—
813D4×C13—21no—
814D4×C13—21no—
815D4×C13—41no—
816D4×C13—42no—
817D4×C13—42no—
818D4×C13—81no—
819D4×C13H(5,𝔽2)12yes—
820C2×C4×C13—21no—
821C2×C4×C13—21no—
822C2×C4×C13—21no—
823C2×C4×C13—21no—
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—42no—
831C2×C4×C13—42no—
832C2×C4×C13—81no—
833C2×C4×C13C22×D411yescharacteristic
834C2×C4×C13C22×D411yescharacteristic
835C2×C4×C13C22×D411yescharacteristic
836C2×C4×C13C22×D411yescharacteristic
837C2×C4×C13C2511yescharacteristic
838C22⋊D13—24no—
839C22⋊D13—22no—
840C22⋊D13—41no—
841C22⋊D13—42no—
842C22⋊D13—42no—
843C22⋊D13—42no—
844C22⋊D13—42no—
845C22⋊D13—42no—
846C22⋊D13—42no—
847C22⋊D13—81no—
848C22⋊D13—81no—
849C22⋊D13—81no—
850C2×Dic13—21no—
851C2×Dic13—21no—
852C2×Dic13—21no—
853C2×Dic13—21no—
854C2×Dic13—21no—
855C2×Dic13—41no—
856C2×Dic13—41no—
857C2×Dic13—42no—
858C2×Dic13—81no—
859C2×Dic13—81no—
860C2×Dic13C22×D411yescharacteristic
861C2×Dic13C22×D411yescharacteristic
862C2×Dic13C22×D411yescharacteristic
863C2×Dic13C22×D411yescharacteristic
864C2×Dic13C22×D411yescharacteristic
865D52—22no—
866D52—21no—
867D52—21no—
868D52—21no—
869D52—21no—
870D52—21no—
871D52—42no—
872D52—42no—
873D52—42no—
874D52—42no—
875D52—81no—
876D52—81no—
877D52H(5,𝔽2)12yes—
878C4×D13—22no—
879C4×D13—21no—
880C4×D13—21no—
881C4×D13—21no—
882C4×D13—21no—
883C4×D13—21no—
884C4×D13—21no—
885C4×D13—41no—
886C4×D13—41no—
887C4×D13—41no—
888C4×D13—41no—
889C4×D13—41no—
890C4×D13—42no—
891C4×D13—42no—
892C4×D13—42no—
893C4×D13—42no—
894C4×D13—42no—
895C4×D13—42no—
896C4×D13—81no—
897C4×D13—81no—
898C4×D13—81no—
899C4×D13—81no—
900C4×D13—81no—
901Dic26—21no—
902Dic26—21no—
903Dic26—21no—
904Dic26—21no—
905Dic26—21no—
906Dic26—21no—
907Dic26—42no—
908Dic26—42no—
909Dic26—81no—
910Dic26—81no—
911C8×C13—21no—
912C8×C13—21no—
913C8×C13—21no—
914C8×C13—21no—
915#1055—21no—
916#1055—21no—
917#1055—21no—
918#1055—21no—
919C22×#41—131no—
920C23×D4—131no—
921C2×#137—131no—
922C2×#137—131no—
923C2×AGL(1,ℤ/8)—131no—
924C2×AGL(1,ℤ/8)—131no—
925C2×#135—131no—
926C2×#135—131no—
927C22×SD16—131no—
928C22×SD16—131no—
929#556—131no—
930#554—261no—
931#552—131no—
932#552C2×D1311yescharacteristic, complemented
933#551—261no—
934#551—261no—
935D4×Q8—131no—
936#548—131no—
937#548—131no—
938#547—131no—
939#547—131no—
940#546—131no—
941#546—131no—
942#546—131no—
943#546—131no—
944#546—131no—
945#546—131no—
946#546—131no—
947#546—261no—
948#546—261no—
949#546—261no—
950#546—261no—
951#546—261no—
952#546C2×D1311yescharacteristic
953#542—261no—
954#539—261no—
955#539—261no—
956#533—131no—
957#529—131no—
958C2×#124—131no—
959#525—131no—
960#525—131no—
961C2×#123—261no—
962C2×C22⋊Q8—131no—
963C2×C22⋊Q8—131no—
964C2×C22⋊Q8—131no—
965C2×#121—131no—
966C2×#121—261no—
967C2×#120—261no—
968#520—261no—
969C2×C4×D4—131no—
970C2×C4×D4—131no—
971C22×C22⋊C4—261no—
972#497—131no—
973#497—131no—
974#495—131no—
975#495—131no—
976#489—131no—
977#489—131no—
978#488—131no—
979#488C2×D1311yescharacteristic, complemented
980#485—131no—
981#485C2×D1311yescharacteristic, complemented
982#483—131no—
983#483—131no—
984#483—131no—
985#483—131no—
986#483—131no—
987#482—131no—
988#482—131no—
989#481—131no—
990#481C2×D1311yescharacteristic, complemented
991#480—131no—
992#478—131no—
993#478C2×D1311yescharacteristic, complemented
994#476—131no—
995#476—131no—
996#470—131no—
997#470—131no—
998#470—131no—
999#470C2×D1311yescharacteristic, complemented
1000#469—131no—
1001#469—131no—
1002#468—131no—
1003#468C2×D1311yescharacteristic, complemented
1004#467—131no—
1005#467—131no—
1006#465—131no—
1007#465—131no—
1008#465—131no—
1009#465—131no—
1010#465—131no—
1011#465—131no—
1012#464—131no—
1013#464—131no—
1014#464—131no—
1015#464—131no—
1016#464—131no—
1017#464C2×D1311yescharacteristic, complemented
1018#463—131no—
1019#463—131no—
1020#463—131no—
1021#463—131no—
1022#461—131no—
1023#461—131no—
1024#452—131no—
1025#452—131no—
1026#452—131no—
1027#452—131no—
1028#452—131no—
1029#452—131no—
1030#452—131no—
1031#452C2×D1311yescharacteristic, complemented
1032#451—131no—
1033#451—131no—
1034#451—131no—
1035#451—131no—
1036#451—131no—
1037#450—131no—
1038#450—131no—
1039#450—131no—
1040#450—131no—
1041#450—131no—
1042#450—131no—
1043#450—131no—
1044#450—131no—
1045#450—131no—
1046#450—131no—
1047#450—131no—
1048#450C2×D1311yescharacteristic, complemented
1049#449—131no—
1050#449—131no—
1051#449—131no—
1052#449—131no—
1053#448—131no—
1054#448—131no—
1055#448—131no—
1056#447—131no—
1057#447—131no—
1058#447—131no—
1059#447—131no—
1060#442—131no—
1061#442—131no—
1062#440—131no—
1063#440—131no—
1064C4×SD16—131no—
1065C4×SD16—131no—
1066C4×SD16—131no—
1067C4×SD16C2×D1311yescharacteristic, complemented
1068#436—131no—
1069#436C2×D1311yescharacteristic, complemented
1070#435—131no—
1071#435—131no—
1072#435—131no—
1073#435—131no—
1074C8×D4—131no—
1075C8×D4—131no—
1076#432—131no—
1077#431—131no—
1078#418—131no—
1079#418C2×D1311yescharacteristic, complemented
1080#417—131no—
1081#417C2×D1311yescharacteristic, complemented
1082#416—131no—
1083#416—131no—
1084C2×#102—131no—
1085C2×#102—131no—
1086#407—131no—
1087#407—131no—
1088C2×C22⋊C8—131no—
1089C2×C22⋊C8—131no—
1090C22×C13—21no—
1091C22×C13—22no—
1092C22×C13—21no—
1093C22×C13—21no—
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—84no—
1103C22×C13C23×D411yescharacteristic
1104C2×D13—21no—
1105C2×D13—21no—
1106C2×D13—21no—
1107C2×D13—21no—
1108C2×D13—21no—
1109C2×D13—22no—
1110C2×D13—21no—
1111C2×D13—21no—
1112C2×D13—44no—
1113C2×D13—48no—
1114C2×D13—41no—
1115C2×D13—41no—
1116C2×D13—41no—
1117C2×D13—41no—
1118C2×D13—41no—
1119C2×D13—41no—
1120C2×D13—41no—
1121C2×D13—41no—
1122C2×D13—82no—
1123C2×D13—84no—
1124C2×D13—84no—
1125C2×D13—84no—
1126C2×D13—84no—
1127C2×D13#57512yes—
1128C2×D13#57712yes—
1129C4×C13—21no—
1130C4×C13—21no—
1131C4×C13—21no—
1132C4×C13—21no—
1133C4×C13—41no—
1134C4×C13—41no—
1135C4×C13—41no—
1136C4×C13—41no—
1137C4×C13—41no—
1138C4×C13—41no—
1139C4×C13C2×H(5,𝔽2)11yescharacteristic
1140C4×C13C2×H(5,𝔽2)11yescharacteristic
1141Dic13—21no—
1142Dic13—21no—
1143Dic13—21no—
1144Dic13—21no—
1145Dic13—21no—
1146Dic13—41no—
1147Dic13—41no—
1148Dic13—41no—
1149Dic13—41no—
1150Dic13—41no—
1151C25—261no—
1152C2×#41—131no—
1153C2×#41—131no—
1154C2×#41—131no—
1155C2×#41—131no—
1156C2×#41—131no—
1157C2×#41—261no—
1158C2×#41—261no—
1159C2×#41—261no—
1160C2×#41—522no—
1161C2×#41—522no—
1162C2×#41C22×D1311yescharacteristic
1163C22×Q8—131no—
1164C22×Q8—131no—
1165C22×Q8—131no—
1166C22×D4—131no—
1167C22×D4—131no—
1168C22×D4—131no—
1169C22×D4—131no—
1170C22×D4—131no—
1171C22×D4—131no—
1172C22×D4—261no—
1173C22×D4—261no—
1174C22×D4—261no—
1175C22×D4—261no—
1176C22×D4—261no—
1177C22×D4—522no—
1178C22×D4—522no—
1179C22×D4C22×D1311yescharacteristic
1180C23×C4—131no—
1181C23×C4—131no—
1182C23×C4—261no—
1183C23×C4—261no—
1184#137—522no—
1185#137—522no—
1186AGL(1,ℤ/8)—522no—
1187AGL(1,ℤ/8)—522no—
1188#135—522no—
1189#135—522no—
1190C2×Q16—131no—
1191C2×Q16—131no—
1192C2×Q16—131no—
1193C2×Q16—131no—
1194C2×Q16—131no—
1195C2×Q16C22×D1311yescharacteristic, complemented
1196C2×SD16—131no—
1197C2×SD16—131no—
1198C2×SD16—131no—
1199C2×SD16—131no—
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—522no—
1209C2×SD16—522no—
1210C2×SD16C22×D1311yescharacteristic
1211C2×SD16C22×D1311yescharacteristic
1212C2×D8—131no—
1213C2×D8—131no—
1214C2×D8—131no—
1215C2×D8—131no—
1216C2×M16—131no—
1217C2×M16—131no—
1218C2×M16C22×D1311yescharacteristic
1219C2×M16C22×D1311yescharacteristic, complemented
1220C22×C8—131no—
1221C22×C8—131no—
1222C22×C8—131no—
1223C22×C8—131no—
1224C4⋊Q8—131no—
1225C4⋊Q8—131no—
1226C4⋊Q8—261no—
1227#126—21no—
1228#126—261no—
1229#126—261no—
1230#126—261no—
1231#126—261no—
1232#125—21no—
1233#125—261no—
1234#125—261no—
1235#125C22×D1311yescharacteristic, complemented
1236#124—131no—
1237#124—131no—
1238#124—131no—
1239#124—131no—
1240#124—261no—
1241#124—261no—
1242#124—261no—
1243#124—261no—
1244#124—261no—
1245#124C22×D1311yescharacteristic
1246#123—21no—
1247#123—21no—
1248#123—261no—
1249#123—261no—
1250#123—261no—
1251#123—261no—
1252#123—261no—
1253#123—261no—
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—
1263C22⋊Q8—131no—
1264C22⋊Q8—131no—
1265C22⋊Q8—131no—
1266C22⋊Q8—131no—
1267C22⋊Q8—131no—
1268C22⋊Q8—131no—
1269C22⋊Q8—131no—
1270C22⋊Q8—131no—
1271C22⋊Q8—131no—
1272C22⋊Q8—131no—
1273C22⋊Q8—261no—
1274C22⋊Q8—261no—
1275C22⋊Q8—261no—
1276C22⋊Q8—261no—
1277C22⋊Q8—261no—
1278C22⋊Q8—261no—
1279C22⋊Q8—261no—
1280C22⋊Q8—261no—
1281C22⋊Q8—261no—
1282C22⋊Q8—261no—
1283C22⋊Q8—261no—
1284C22⋊Q8—261no—
1285C22⋊Q8C22×D1311yescharacteristic
1286C22⋊Q8C22×D1311yescharacteristic
1287C22⋊Q8C22×D1311yescharacteristic, complemented
1288#121—21no—
1289#121—131no—
1290#121—131no—
1291#121—131no—
1292#121—131no—
1293#121—131no—
1294#121—131no—
1295#121—261no—
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#121C22×D1311yescharacteristic
1308#120—21no—
1309#120—261no—
1310#120—261no—
1311#120—261no—
1312#120—261no—
1313#120—261no—
1314#120—261no—
1315#120—261no—
1316#120—261no—
1317#120—261no—
1318C4×Q8—131no—
1319C4×Q8—131no—
1320C4×Q8—261no—
1321C4×Q8—261no—
1322C4×Q8C22×D1311yescharacteristic, complemented
1323C4×D4—131no—
1324C4×D4—131no—
1325C4×D4—131no—
1326C4×D4—131no—
1327C4×D4—131no—
1328C4×D4—131no—
1329C4×D4—131no—
1330C4×D4—131no—
1331C4×D4—131no—
1332C4×D4—131no—
1333C4×D4—131no—
1334C4×D4—261no—
1335C4×D4—261no—
1336C4×D4—261no—
1337C4×D4—261no—
1338C4×D4—261no—
1339C4×D4—261no—
1340C4×D4—261no—
1341C4×D4—261no—
1342C4×D4—261no—
1343C4×D4—261no—
1344C4×D4C22×D1311yescharacteristic
1345C4×D4C22×D1311yescharacteristic
1346#117—21no—
1347#117—131no—
1348#117—261no—
1349#117—261no—
1350#117—261no—
1351#117C22×D1311yescharacteristic
1352C2×C4⋊C4—131no—
1353C2×C4⋊C4—131no—
1354C2×C4⋊C4—131no—
1355C2×C4⋊C4—261no—
1356C2×C4⋊C4—261no—
1357C2×C4⋊C4—261no—
1358C2×C4⋊C4—261no—
1359C2×C4⋊C4C22×D1311yescharacteristic, complemented
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—131no—
1362C2×C22⋊C4—131no—
1363C2×C22⋊C4—261no—
1364C2×C22⋊C4—261no—
1365C2×C22⋊C4—261no—
1366C2×C22⋊C4—261no—
1367C2×C22⋊C4—261no—
1368C2×C22⋊C4—261no—
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×C42—131no—
1378#107—131no—
1379#107C22×D1311yescharacteristic, complemented
1380#106—131no—
1381#106—131no—
1382#106—131no—
1383#106—131no—
1384#106C22×D1311yescharacteristic, complemented
1385#106C22×D1311yescharacteristic, complemented
1386C4⋊C8—131no—
1387C4⋊C8—131no—
1388C4⋊C8—131no—
1389C4⋊C8C22×D1311yescharacteristic, complemented
1390#103—131no—
1391#103—131no—
1392#103—131no—
1393#103—131no—
1394#103—131no—
1395#103—131no—
1396#103—131no—
1397#103—131no—
1398#103—131no—
1399#103—131no—
1400#103C22×D1311yescharacteristic, complemented
1401#103C22×D1311yescharacteristic, complemented
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#102C22×D1311yescharacteristic
1417#102C22×D1311yescharacteristic
1418#102C22×D1311yescharacteristic
1419#102C22×D1311yescharacteristic
1420#102C22×D1311yescharacteristic
1421#102C22×D1311yescharacteristic
1422C22⋊C8—131no—
1423C22⋊C8—131no—
1424C22⋊C8—131no—
1425C22⋊C8—131no—
1426C22⋊C8—131no—
1427C22⋊C8—131no—
1428C22⋊C8—131no—
1429C22⋊C8—131no—
1430C22⋊C8—131no—
1431C22⋊C8—131no—
1432C22⋊C8C22×D1311yescharacteristic
1433C22⋊C8C22×D1311yescharacteristic, complemented
1434#97—131no—
1435#97—131no—
1436C4×C8—131no—
1437C4×C8C22×D1311yescharacteristic, complemented
1438C2×C13—41no—
1439C2×C13—42no—
1440C2×C13—41no—
1441C2×C13—81no—
1442C2×C13#348411yescharacteristic
1443C2×C13C2×#57511yescharacteristic
1444C2×C13C2×#57711yescharacteristic
1445D13—22no—
1446D13—22no—
1447D13—41no—
1448D13—42no—
1449D13—81no—
1450D13—81no—
1451C24—21no—
1452C24—131no—
1453C24—131no—
1454C24—261no—
1455C24—261no—
1456C24—261no—
1457C24—261no—
1458C24—261no—
1459C24—524no—
1460C24—524no—
1461C24—1042no—
1462#41—22no—
1463#41—41no—
1464#41—262no—
1465#41—262no—
1466#41—262no—
1467#41—521no—
1468#41—521no—
1469#41—521no—
1470#41—524no—
1471#41—524no—
1472#41—521no—
1473#41—521no—
1474#41—521no—
1475#41—521no—
1476#41—524no—
1477C2×Q8—131no—
1478C2×Q8—131no—
1479C2×Q8—131no—
1480C2×Q8—261no—
1481C2×Q8—261no—
1482C2×Q8—261no—
1483C2×Q8—261no—
1484C2×Q8—521no—
1485C2×Q8—521no—
1486C2×Q8—521no—
1487C2×Q8—521no—
1488C2×Q8—521no—
1489C2×Q8—521no—
1490C2×Q8C23×D1311yescharacteristic
1491C2×Q8C23×D1311yescharacteristic
1492C2×D4—22no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—41no—
1497C2×D4—131no—
1498C2×D4—131no—
1499C2×D4—131no—
1500C2×D4—131no—
1501C2×D4—131no—
1502C2×D4—131no—
1503C2×D4—262no—
1504C2×D4—261no—
1505C2×D4—261no—
1506C2×D4—261no—
1507C2×D4—261no—
1508C2×D4—261no—
1509C2×D4—261no—
1510C2×D4—261no—
1511C2×D4—261no—
1512C2×D4—261no—
1513C2×D4—262no—
1514C2×D4—262no—
1515C2×D4—262no—
1516C2×D4—262no—
1517C2×D4—261no—
1518C2×D4—261no—
1519C2×D4—261no—
1520C2×D4—261no—
1521C2×D4—261no—
1522C2×D4—261no—
1523C2×D4—261no—
1524C2×D4—521no—
1525C2×D4—521no—
1526C2×D4—521no—
1527C2×D4—521no—
1528C2×D4—521no—
1529C2×D4—522no—
1530C2×D4—524no—
1531C2×D4—524no—
1532C2×D4—524no—
1533C2×D4—524no—
1534C2×D4—1042no—
1535C2×D4D4×D1311yescharacteristic
1536C2×D4C23×D1311yescharacteristic
1537C2×D4C23×D1311yescharacteristic
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—131no—
1542C22×C4—131no—
1543C22×C4—131no—
1544C22×C4—131no—
1545C22×C4—131no—
1546C22×C4—131no—
1547C22×C4—131no—
1548C22×C4—131no—
1549C22×C4—131no—
1550C22×C4—131no—
1551C22×C4—131no—
1552C22×C4—261no—
1553C22×C4—261no—
1554C22×C4—261no—
1555C22×C4—261no—
1556C22×C4—261no—
1557C22×C4—261no—
1558C22×C4—261no—
1559C22×C4—261no—
1560C22×C4—261no—
1561C22×C4—261no—
1562C22×C4—261no—
1563C22×C4—261no—
1564C22×C4—261no—
1565C22×C4—261no—
1566C22×C4—521no—
1567C22×C4—521no—
1568C22×C4—521no—
1569C22×C4—521no—
1570C22×C4—524no—
1571C22×C4—1042no—
1572C22×C4C23×D1311yescharacteristic
1573C22×C4C23×D1311yescharacteristic
1574Q16—41no—
1575Q16—521no—
1576Q16—521no—
1577Q16—521no—
1578Q16—521no—
1579Q16—521no—
1580SD16—22no—
1581SD16—41no—
1582SD16—262no—
1583SD16—262no—
1584SD16—262no—
1585SD16—262no—
1586SD16—262no—
1587SD16—521no—
1588SD16—521no—
1589SD16—521no—
1590SD16—521no—
1591SD16—521no—
1592SD16—521no—
1593SD16—521no—
1594D8—262no—
1595D8—262no—
1596D8—521no—
1597D8—521no—
1598M16—41no—
1599M16—41no—
1600M16—521no—
1601M16—521no—
1602C2×C8—131no—
1603C2×C8—131no—
1604C2×C8—131no—
1605C2×C8—131no—
1606C2×C8—521no—
1607C2×C8—521no—
1608C2×C8—521no—
1609C2×C8—521no—
1610C2×C8C23×D1311yescharacteristic
1611C2×C8C23×D1311yescharacteristic
1612C2×C8C23×D1311yescharacteristic
1613C2×C8C23×D1311yescharacteristic
1614C4⋊C4—21no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—131no—
1622C4⋊C4—131no—
1623C4⋊C4—131no—
1624C4⋊C4—131no—
1625C4⋊C4—131no—
1626C4⋊C4—261no—
1627C4⋊C4—261no—
1628C4⋊C4—261no—
1629C4⋊C4—261no—
1630C4⋊C4—261no—
1631C4⋊C4—261no—
1632C4⋊C4—261no—
1633C4⋊C4—261no—
1634C4⋊C4—261no—
1635C4⋊C4—261no—
1636C4⋊C4—261no—
1637C4⋊C4—261no—
1638C4⋊C4—261no—
1639C4⋊C4—261no—
1640C4⋊C4—261no—
1641C4⋊C4—261no—
1642C4⋊C4—261no—
1643C4⋊C4D4×D1311yescharacteristic
1644C4⋊C4C23×D1311yescharacteristic
1645C4⋊C4C23×D1311yescharacteristic
1646C4⋊C4C23×D1311yescharacteristic
1647C4⋊C4C23×D1311yescharacteristic
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—131no—
1657C22⋊C4—131no—
1658C22⋊C4—131no—
1659C22⋊C4—131no—
1660C22⋊C4—131no—
1661C22⋊C4—131no—
1662C22⋊C4—261no—
1663C22⋊C4—261no—
1664C22⋊C4—261no—
1665C22⋊C4—261no—
1666C22⋊C4—261no—
1667C22⋊C4—261no—
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⋊C4D4×D1311yescharacteristic
1692C22⋊C4D4×D1311yescharacteristic
1693C42—21no—
1694C42—21no—
1695C42—131no—
1696C42—131no—
1697C42—131no—
1698C42—261no—
1699C42—261no—
1700C42—261no—
1701C42C23×D1311yescharacteristic
1702C13#6160111yescharacteristic, complemented, Sylow
1703C23—21no—
1704C23—21no—
1705C23—42no—
1706C23—42no—
1707C23—81no—
1708C23—131no—
1709C23—131no—
1710C23—131no—
1711C23—262no—
1712C23—262no—
1713C23—262no—
1714C23—264no—
1715C23—261no—
1716C23—261no—
1717C23—261no—
1718C23—521no—
1719C23—521no—
1720C23—521no—
1721C23—522no—
1722C23—522no—
1723C23—522no—
1724C23—522no—
1725C23—522no—
1726C23—522no—
1727C23—522no—
1728C23—522no—
1729C23—522no—
1730C23—522no—
1731C23—522no—
1732C23—1041no—
1733C23—1041no—
1734C23—1041no—
1735C23—10416no—
1736C23C2×D4×D1311yescharacteristic
1737C23C2×D4×D1311yescharacteristic
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—21no—
1742Q8—261no—
1743Q8—261no—
1744Q8—261no—
1745Q8—261no—
1746Q8—261no—
1747Q8—261no—
1748Q8—522no—
1749Q8—522no—
1750Q8—1041no—
1751Q8—1041no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—41no—
1756D4—42no—
1757D4—42no—
1758D4—81no—
1759D4—132no—
1760D4—262no—
1761D4—262no—
1762D4—264no—
1763D4—261no—
1764D4—261no—
1765D4—261no—
1766D4—261no—
1767D4—261no—
1768D4—522no—
1769D4—522no—
1770D4—522no—
1771D4—522no—
1772D4—521no—
1773D4—522no—
1774D4—522no—
1775D4—522no—
1776D4—522no—
1777D4—522no—
1778D4—522no—
1779D4—1041no—
1780D4—1041no—
1781D4—1041no—
1782D4—1041no—
1783D4—1041no—
1784D4#8825612yes—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—42no—
1796C2×C4—42no—
1797C2×C4—81no—
1798C2×C4—131no—
1799C2×C4—131no—
1800C2×C4—131no—
1801C2×C4—131no—
1802C2×C4—131no—
1803C2×C4—262no—
1804C2×C4—261no—
1805C2×C4—261no—
1806C2×C4—261no—
1807C2×C4—261no—
1808C2×C4—261no—
1809C2×C4—261no—
1810C2×C4—261no—
1811C2×C4—261no—
1812C2×C4—261no—
1813C2×C4—261no—
1814C2×C4—261no—
1815C2×C4—521no—
1816C2×C4—521no—
1817C2×C4—521no—
1818C2×C4—521no—
1819C2×C4—521no—
1820C2×C4—522no—
1821C2×C4—522no—
1822C2×C4—522no—
1823C2×C4—522no—
1824C2×C4—522no—
1825C2×C4—522no—
1826C2×C4—521no—
1827C2×C4—521no—
1828C2×C4—522no—
1829C2×C4—1041no—
1830C2×C4—1041no—
1831C2×C4—1041no—
1832C2×C4—1041no—
1833C2×C4—1041no—
1834C2×C4—1041no—
1835C2×C4—1041no—
1836C2×C4C2×D4×D1311yescharacteristic
1837C2×C4C2×D4×D1311yescharacteristic
1838C2×C4C2×D4×D1311yescharacteristic
1839C2×C4C2×D4×D1311yescharacteristic
1840C2×C4C24×D1311yescharacteristic
1841C8—21no—
1842C8—21no—
1843C8—21no—
1844C8—21no—
1845C8—261no—
1846C8—261no—
1847C8—261no—
1848C8—261no—
1849C22—21no—
1850C22—21no—
1851C22—22no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—84no—
1862C22—132no—
1863C22—132no—
1864C22—261no—
1865C22—261no—
1866C22—261no—
1867C22—261no—
1868C22—261no—
1869C22—262no—
1870C22—261no—
1871C22—261no—
1872C22—524no—
1873C22—528no—
1874C22—521no—
1875C22—521no—
1876C22—521no—
1877C22—521no—
1878C22—521no—
1879C22—521no—
1880C22—521no—
1881C22—521no—
1882C22—1042no—
1883C22—1044no—
1884C22—1044no—
1885C22—1044no—
1886C22—1044no—
1887C22C22×D4×D1311yescharacteristic
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—261no—
1899C4—261no—
1900C4—261no—
1901C4—261no—
1902C4—261no—
1903C4—521no—
1904C4—521no—
1905C4—521no—
1906C4—521no—
1907C4—521no—
1908C4C2×#8825611yescharacteristic
1909C4D13×H(5,𝔽2)11yescharacteristic
1910C2—41no—
1911C2—41no—
1912C2—42no—
1913C2—81no—
1914C2—262no—
1915C2—262no—
1916C2—521no—
1917C2—522no—
1918C2—1041no—
1919C2—1041no—
1920C2#1312846611yescharacteristic
1921C2D13×#57511yescharacteristic
1922C2D13×#57711yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3323C2
socleC22×C13C23×D4
hypercenter#3323D13
hypocenterC13#61601
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. #13128882C2semidirect
2. D13×#546C2semidirect
3. #13127046C2semidirect
4. #13126875C2semidirect
5. #13126873C2semidirect
6. #13126800C2semidirect
7. #13126798C2semidirect
8. #13126670C2semidirect
9. #13126668C2semidirect
10. #13126545C2semidirect
11. #13126538C2semidirect
12. #13126472C2semidirect
13. #13126463C2semidirect
14. #13126368C2semidirect
15. #13126359C2semidirect
16. #13126353C2semidirect
17. #13126344C2semidirect
18. #13125837C2semidirect
19. #13125802C2semidirect
20. #13125656C2semidirect
21. #13125651C2semidirect
22. #13125621C2semidirect
23. #13125595C2semidirect
24. #13124979C2semidirect
25. #13124842C2semidirect
26. #13124097C2semidirect
27. #13124065C2semidirect
28. #13124057C2semidirect
29. D13×#450C2semidirect
30. #13123868C2semidirect
31. C13×#3323C2semidirect
34. C13×#552C22semidirect
37. C2×#88205C22semidirect
39. C2×#88186C22semidirect
40. C2×#88173C22semidirect
41. C2×#88170C22semidirect
42. C2×SD16×D13C22semidirect
43. C2×SD16×D13C22semidirect
44. C2×#88163C22semidirect
45. C2×#88162C22semidirect
48. #11719399C22semidirect
50. #11719396C22semidirect
58. #11719337C22semidirect
59. #11719336C22semidirect
61. #11719332C22semidirect
70. #11719283C22semidirect
71. #11719281C22semidirect
73. #11719257C22semidirect
77. #11719238C22semidirect
81. C2×#88151C22semidirect
82. #11719212C22semidirect
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. #11718899C22semidirect
99. #11718879C22semidirect
100. #11718851C22semidirect
101. #11718847C22semidirect
102. #11718847C22semidirect
103. #11718833C22semidirect
106. #11718828C22semidirect
107. #11718823C22semidirect
108. #11718798C22semidirect
109. #11718796C22semidirect
110. #11718788C22semidirect
111. #11718788C22semidirect
113. #11718787C22semidirect
114. #11718729C22semidirect
115. #11718727C22semidirect
116. #11718720C22semidirect
117. #11718715C22semidirect
118. #11718713C22semidirect
119. #11718713C22semidirect
120. #11718710C22semidirect
121. #11718708C22semidirect
122. #11718708C22semidirect
123. #11718707C22semidirect
124. #11718701C22semidirect
125. #11718700C22semidirect
126. #11718689C22semidirect
127. C4×#6106C22semidirect
128. C4×#6105C22semidirect
129. #11718677C22semidirect
130. #11718673C22semidirect
131. #11718662C22semidirect
132. #11718657C22semidirect
133. #11718629C22semidirect
134. #11718627C22semidirect
135. #11718550C22semidirect
136. #11718548C22semidirect
137. #11718546C22semidirect
138. #11718543C22semidirect
139. #11718531C22semidirect
140. #11718530C22semidirect
141. #11718525C22semidirect
142. #11718525C22semidirect
143. #11718525C22semidirect
144. #11718523C22semidirect
145. #11718523C22semidirect
146. #11718523C22semidirect
147. #11718506C22semidirect
148. #11718505C22semidirect
149. #11718496C22semidirect
150. #11718495C22semidirect
151. #11718480C22semidirect
152. #11718479C22semidirect
153. #11718474C22semidirect
154. #11718472C22semidirect
155. #11718471C22semidirect
156. #11718471C22semidirect
157. #11718469C22semidirect
158. #11718469C22semidirect
159. #11718469C22semidirect
160. #11718468C22semidirect
161. #11718467C22semidirect
162. #11718466C22semidirect
163. #11718466C22semidirect
164. #11718465C22semidirect
165. #11718459C22semidirect
166. #11718456C22semidirect
167. #11718448C22semidirect
168. #11718446C22semidirect
169. #11718444C22semidirect
170. #11718444C22semidirect
171. #11718440C22semidirect
172. #11718439C22semidirect
173. #11718439C22semidirect
178. #11718437C22semidirect
179. #11718437C22semidirect
182. #11718434C22semidirect
183. #11718434C22semidirect
184. #11718433C22semidirect
185. D13×#102C22semidirect
186. D13×#102C22semidirect
187. #11718428C22semidirect
188. #11718426C22semidirect
189. #11718422C22semidirect
190. #11718418C22semidirect
191. #11718399C22semidirect
192. #11718395C22semidirect
193. #11718394C22semidirect
194. #11718392C22semidirect
195. #11718389C22semidirect
196. #11718389C22semidirect
198. D13×C22⋊C8C22semidirect
199. #11718357C22semidirect
200. C4×#6095C22semidirect
201. C8×D52C22semidirect
202. #11718346C22semidirect
210. C2×#6131C23semidirect
235. C22×Dic26C23semidirect
236. C2×C13×Q16C23semidirect
240. C2×C13×M16C23semidirect
243. C13×#125C23semidirect
249. C13×C22⋊Q8C23semidirect
253. C4×Q8×C13C23semidirect
258. C2×C13×C4⋊C4C23semidirect
266. #88198C23semidirect
267. C2×#6107C23semidirect
268. C2×#6107C23semidirect
269. C2×#6107C23semidirect
272. C2×#6106C23semidirect
295. #88184C23semidirect
308. C2×#6099C23semidirect
315. C2×Dic52C23semidirect
316. C2×Dic52C23semidirect
323. C2×#6095C23semidirect
326. C2×C8×D13C23semidirect
327. C2×C8×D13C23semidirect
337. #88151C23semidirect
338. #88151C23semidirect
361. #88147C23semidirect
364. #88146C23semidirect
374. #88142C23semidirect
375. #88141C23semidirect
419. #88129C23semidirect
429. C4×Dic26C23semidirect
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
462. #88060C23semidirect
463. #88060C23semidirect
464. #88057C23semidirect
465. #88056C23semidirect
466. #88056C23semidirect
467. #88056C23semidirect
468. #88055C23semidirect
469. #88055C23semidirect
470. #88054C23semidirect
471. #88054C23semidirect
472. #88050C23semidirect
473. #88050C23semidirect
474. #88050C23semidirect
475. #88050C23semidirect
476. #88050C23semidirect
483. #88049C23semidirect
484. #88048C23semidirect
485. #88048C23semidirect
486. #88048C23semidirect
487. #88047C23semidirect
488. C4⋊#1055C23semidirect
489. C4×#1055C23semidirect
745. #3323D13semidirect
932. #552C2×D13semidirect
979. #488C2×D13semidirect
981. #485C2×D13semidirect
990. #481C2×D13semidirect
993. #478C2×D13semidirect
999. #470C2×D13semidirect
1003. #468C2×D13semidirect
1017. #464C2×D13semidirect
1031. #452C2×D13semidirect
1048. #450C2×D13semidirect
1067. C4×SD16C2×D13semidirect
1069. #436C2×D13semidirect
1079. #418C2×D13semidirect
1081. #417C2×D13semidirect
1195. C2×Q16C22×D13semidirect
1219. C2×M16C22×D13semidirect
1235. #125C22×D13semidirect
1287. C22⋊Q8C22×D13semidirect
1322. C4×Q8C22×D13semidirect
1359. C2×C4⋊C4C22×D13semidirect
1379. #107C22×D13semidirect
1384. #106C22×D13semidirect
1385. #106C22×D13semidirect
1389. C4⋊C8C22×D13semidirect
1400. #103C22×D13semidirect
1401. #103C22×D13semidirect
1402. #103C22×D13semidirect
1403. #103C22×D13semidirect
1433. C22⋊C8C22×D13semidirect
1437. C4×C8C22×D13semidirect
1702. C13#61601semidirect

Maximal subgroups

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

subgroupindex
#131288822
D13×#5462
#131270462
#131268752
#131268732
#131268002
#131267982
#131266702
#131266682
#131265452
#131265382
#131264722
#131264632
#131263682
#131263592
#131263532
#131263442
#131258372
#131258022
#131256562
#131256512
#131256212
#131255952
#131249792
#131248422
#131240972
#131240652
#131240572
D13×#4502
#131238682
C13×#33232
#6160113