Finite Group Databasebeta

← #16748479

Subgroups — #16748479

Order 3328.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129155C211yesmaximal, characteristic, complemented
2#13128466C211yesmaximal, characteristic, complemented
3#13127074C211yesmaximal, characteristic, complemented
4#13126995C211yesmaximal, characteristic, complemented
5#13126971C211yesmaximal, characteristic, complemented
6#13126854C211yesmaximal, characteristic, complemented
7#13126798C211yesmaximal, characteristic, complemented
8#13126670C211yesmaximal, characteristic, complemented
9#13126647C211yesmaximal, characteristic, complemented
10#13126519C211yesmaximal, characteristic, complemented
11D8×D52C211yesmaximal, characteristic, complemented
12#13126458C211yesmaximal, characteristic, complemented
13#13126444C211yesmaximal, characteristic, complemented
14#13126372C211yesmaximal, characteristic, complemented
15#13126323C211yesmaximal, characteristic, complemented
16#13126322C211yesmaximal, characteristic, complemented
17#13126314C211yesmaximal, characteristic, complemented
18#13125929C211yesmaximal, characteristic, complemented
19#13125889C211yesmaximal, characteristic, complemented
20#13125698C211yesmaximal, characteristic, complemented
21#13125695C211yesmaximal, characteristic, complemented
22#13125651C211yesmaximal, characteristic, complemented
23#13125631C211yesmaximal, characteristic, complemented
24#13125081C211yesmaximal, characteristic, complemented
25#13125016C211yesmaximal, characteristic, complemented
26#13124142C211yesmaximal, characteristic, complemented
27#13124101C211yesmaximal, characteristic, complemented
28#13124065C211yesmaximal, characteristic, complemented
29D13×#447C211yesmaximal, characteristic, complemented
30#13123880C211yesmaximal, characteristic, complemented
31C13×#3322C211yesmaximal, characteristic, complemented
32C2×#88256C2211yescharacteristic, complemented
33C22×D4×D13C2211yescharacteristic, complemented
34C13×#553C2211yescharacteristic, complemented
35C13×#546C2211yescharacteristic, complemented
36#11719534C2211yescharacteristic, complemented
37C2×#88204C2211yescharacteristic, complemented
38D4×C22⋊D13C2211yescharacteristic, complemented
39C2×#88186C2211yescharacteristic, complemented
40C2×#88168C2211yescharacteristic, complemented
41C2×D8×D13C2211yescharacteristic, complemented
42C2×D8×D13C2211yescharacteristic, complemented
43C2×D8×D13C2211yescharacteristic, complemented
44C2×#88162C2211yescharacteristic, complemented
45C2×#88162C2211yescharacteristic, complemented
46#11719410—21no—
47#11719409—21no—
48#11719403C2211yescharacteristic, complemented
49#11719399C2211yescharacteristic, complemented
50#11719381C2211yescharacteristic
51#11719379C2211yescharacteristic, complemented
52#11719372—21no—
53#11719359—21no—
54#11719358—21no—
55#11719358—21no—
56#11719335C2211yescharacteristic, complemented
57#11719332C2211yescharacteristic, complemented
58#11719325—21no—
59#11719317C2211yescharacteristic, complemented
60#11719317C2211yescharacteristic, complemented
61#11719314—21no—
62#11719314C2211yescharacteristic, complemented
63#11719312—21no—
64#11719312C2211yescharacteristic, complemented
65#11719312C2211yescharacteristic, complemented
66#11719310—21no—
67D13×#121C2211yescharacteristic, complemented
68#11719295—21no—
69D13×#120—21no—
70#11719267—21no—
71#11719266C2211yescharacteristic, complemented
72#11719258C2211yescharacteristic, complemented
73#11719255—21no—
74D4×D52C2211yescharacteristic
75D4×D52C2211yescharacteristic, complemented
76D4×D52C2211yescharacteristic, complemented
77#11719252C2211yescharacteristic
78#11719250C2211yescharacteristic, complemented
79#11719237C2211yescharacteristic, complemented
80#11719229C2211yescharacteristic, complemented
81#11719215C2211yescharacteristic, complemented
82#11719212C2211yescharacteristic, complemented
83#11719195—21no—
84C2×#88136—21no—
85C13×#488C2211yescharacteristic, complemented
86C13×#485C2211yescharacteristic, complemented
87C13×#480C2211yescharacteristic, complemented
88C13×#478C2211yescharacteristic, complemented
89C13×#469C2211yescharacteristic, complemented
90C13×#468C2211yescharacteristic, complemented
91C13×#463C2211yescharacteristic, complemented
92C13×#449C2211yescharacteristic, complemented
93C13×#447C2211yescharacteristic, complemented
94C4×C13×D8C2211yescharacteristic, complemented
95C13×#436C2211yescharacteristic, complemented
96C13×#418C2211yescharacteristic, complemented
97C13×#417C2211yescharacteristic, complemented
98#11718899C2211yescharacteristic, complemented
99#11718878C2211yescharacteristic, complemented
100#11718833C2211yescharacteristic, complemented
101#11718830C2211yescharacteristic, complemented
102#11718829C2211yescharacteristic, complemented
103#11718817C2211yescharacteristic
104#11718817C2211yescharacteristic, complemented
105#11718817C2211yescharacteristic, complemented
106#11718815C2211yescharacteristic, complemented
107#11718814C2211yescharacteristic, complemented
108#11718796C2211yescharacteristic, complemented
109#11718796C2211yescharacteristic, complemented
110#11718790C2211yescharacteristic, complemented
111#11718789C2211yescharacteristic, complemented
112#11718788C2211yescharacteristic, complemented
113#11718787C2211yescharacteristic, complemented
114#11718728C2211yescharacteristic, complemented
115#11718727C2211yescharacteristic, complemented
116#11718719C2211yescharacteristic, complemented
117#11718715C2211yescharacteristic, complemented
118#11718710C2211yescharacteristic, complemented
119#11718708C2211yescharacteristic, complemented
120#11718700C2211yescharacteristic, complemented
121#11718699C2211yescharacteristic, complemented
122#11718699C2211yescharacteristic, complemented
123#11718698C2211yescharacteristic, complemented
124#11718697C2211yescharacteristic, complemented
125#11718697C2211yescharacteristic, complemented
126#11718679C2211yescharacteristic, complemented
127#11718676C2211yescharacteristic, complemented
128#11718676C2211yescharacteristic, complemented
129#11718675C2211yescharacteristic, complemented
130#11718672C2211yescharacteristic, complemented
131#11718664C2211yescharacteristic, complemented
132#11718662C2211yescharacteristic, complemented
133#11718629C2211yescharacteristic, complemented
134C2×#88049C2211yescharacteristic, complemented
135#11718551C2211yescharacteristic, complemented
136#11718549C2211yescharacteristic, complemented
137#11718547C2211yescharacteristic, complemented
138#11718546C2211yescharacteristic, complemented
139#11718544C2211yescharacteristic, complemented
140#11718544C2211yescharacteristic, complemented
141#11718543C2211yescharacteristic, complemented
142#11718533C2211yescharacteristic, complemented
143#11718530C2211yescharacteristic, complemented
144#11718527C2211yescharacteristic, complemented
145#11718527C2211yescharacteristic, complemented
146#11718525C2211yescharacteristic, complemented
147#11718509C2211yescharacteristic, complemented
148#11718504C2211yescharacteristic, complemented
149#11718501C2211yescharacteristic, complemented
150#11718497C2211yescharacteristic, complemented
151#11718480C2211yescharacteristic, complemented
152#11718480C2211yescharacteristic, complemented
153#11718474C2211yescharacteristic, complemented
154#11718472C2211yescharacteristic, complemented
155#11718472C2211yescharacteristic, complemented
156#11718472C2211yescharacteristic, complemented
157#11718471C2211yescharacteristic, complemented
158#11718471C2211yescharacteristic, complemented
159#11718468C2211yescharacteristic, complemented
160#11718466C2211yescharacteristic, complemented
161#11718465C2211yescharacteristic, complemented
162#11718456C2211yescharacteristic, complemented
163#11718448C2211yescharacteristic, complemented
164#11718447C2211yescharacteristic, complemented
165#11718447C2211yescharacteristic, complemented
166#11718446C2211yescharacteristic, complemented
167#11718443C2211yescharacteristic, complemented
168#11718440C2211yescharacteristic, complemented
169#11718440C2211yescharacteristic, complemented
170#11718439C2211yescharacteristic, complemented
171#11718437C2211yescharacteristic, complemented
172#11718437C2211yescharacteristic, complemented
173#11718437C2211yescharacteristic, complemented
174#11718437C2211yescharacteristic, complemented
175#11718437C2211yescharacteristic, complemented
176#11718434C2211yescharacteristic, complemented
177#11718434C2211yescharacteristic, complemented
178#11718434C2211yescharacteristic, complemented
179#11718434C2211yescharacteristic, complemented
180#11718434C2211yescharacteristic, complemented
181#11718434C2211yescharacteristic, complemented
182#11718434C2211yescharacteristic, complemented
183#11718434C2211yescharacteristic, complemented
184#11718434C2211yescharacteristic, complemented
185#11718431C2211yescharacteristic, complemented
186D13×#102C2211yescharacteristic, complemented
187D13×#102C2211yescharacteristic, complemented
188#11718422C2211yescharacteristic, complemented
189#11718421C2211yescharacteristic, complemented
190#11718417C2211yescharacteristic, complemented
191#11718395C2211yescharacteristic, complemented
192#11718395C2211yescharacteristic, complemented
193#11718393C2211yescharacteristic, complemented
194#11718393C2211yescharacteristic, complemented
195#11718389C2211yescharacteristic, complemented
196#11718388C2211yescharacteristic, complemented
197#11718386C2211yescharacteristic, complemented
198D13×C22⋊C8C2211yescharacteristic, complemented
199#11718356C2211yescharacteristic, complemented
200C4×#6095C2211yescharacteristic, complemented
201#11718351C2211yescharacteristic, complemented
202C8×D52C2211yescharacteristic, complemented
203C24×D13—21no—
204C2×C13×#41C2311yescharacteristic
205C22×D4×C13C2311yescharacteristic
206C22×C22⋊D13—21no—
207C22×C22⋊D13—21no—
208#88256—42no—
209#88256—42no—
210C2×#6131C2311yescharacteristic
211C2×#6131C2311yescharacteristic
212C2×D4×D13—21no—
213C2×D4×D13—21no—
214C2×D4×D13—21no—
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×D13C2311yescharacteristic
222C2×D4×D13C2311yescharacteristic
223C2×D4×D13C2311yescharacteristic
224C2×D4×D13C2311yescharacteristic
225C2×D4×D13C2311yescharacteristic
226C2×D4×D13C2311yescharacteristic
227C2×D4×D13C2311yescharacteristic, complemented
228C2×#6127—21no—
229C2×#6127—21no—
230C2×#6127C2311yescharacteristic
231C2×#6127C2311yescharacteristic
232C2×#6127C2311yescharacteristic, complemented
233C22×D52—21no—
234C22×D52—21no—
235C22×D52—21no—
236C22×D52C2311yescharacteristic
237C22×D52C2311yescharacteristic
238C22×C4×D13C2311yescharacteristic
239C2×C13×SD16C2311yescharacteristic, complemented
240C2×C13×D8C2311yescharacteristic
241C2×C13×D8C2311yescharacteristic
242C2×C13×M16C2311yescharacteristic
243C2×C13×M16C2311yescharacteristic, complemented
244C13×#126—21no—
245C13×#125C2311yescharacteristic, complemented
246C13×#124C2311yescharacteristic
247C13×#123—21no—
248C13×#123—21no—
249C13×C22⋊Q8C2311yescharacteristic
250C13×#121—21no—
251C13×#121—21no—
252C13×#121C2311yescharacteristic
253C13×#121C2311yescharacteristic
254C13×#121C2311yescharacteristic, complemented
255C13×#120—21no—
256C4×D4×C13—21no—
257C4×D4×C13C2311yescharacteristic
258C4×D4×C13C2311yescharacteristic
259C4×D4×C13C2311yescharacteristic, complemented
260C13×#117C2311yescharacteristic
261C2×C13×C4⋊C4C2311yescharacteristic, complemented
262C2×C13×C22⋊C4—21no—
263#88207—21no—
264#88204—42no—
265#88201C2311yescharacteristic
266#88200C2311yescharacteristic
267C2×#6107C2311yescharacteristic, complemented
268C2×#6106C2311yescharacteristic, complemented
269C2×#6106C2311yescharacteristic, complemented
270#88194—21no—
271#88194—21no—
272#88194—21no—
273#88194C2311yescharacteristic
274#88193—21no—
275#88193—21no—
276#88193—21no—
277#88193D411yescharacteristic
278#88192—21no—
279#88192—21no—
280#88192C2311yescharacteristic
281#88192C2311yescharacteristic
282#88191—21no—
283#88191—21no—
284#88191—21no—
285#88191—21no—
286#88191—21no—
287#88191—21no—
288#88191—21no—
289#88191D411yescharacteristic
290#88190C2311yescharacteristic, complemented
291D4×Dic13C2311yescharacteristic
292C2×#6105C2311yescharacteristic
293C2×#6105C2311yescharacteristic
294#88186—42no—
295C2×#6104C2311yescharacteristic
296C2×#6104C2311yescharacteristic
297C2×#6104C2311yescharacteristic
298C2×#6104C2311yescharacteristic
299C2×#6104C2311yescharacteristic
300C2×#6104C2311yescharacteristic
301C2×#6104C2311yescharacteristic, complemented
302#88184—21no—
303#88184—21no—
304#88184—21no—
305#88184—21no—
306#88184C2311yescharacteristic
307#88184C2311yescharacteristic
308#88184C2311yescharacteristic
309#88184C2311yescharacteristic, complemented
310#88183—21no—
311#88183—21no—
312#88183—21no—
313C4×C22⋊D13—21no—
314C4×C22⋊D13C2311yescharacteristic
315C4×C22⋊D13C2311yescharacteristic
316C2×#6103—21no—
317C2×#6103—21no—
318#88178—21no—
319C2×#6099C2311yescharacteristic
320C22×#1055C2311yescharacteristic, complemented
321#88168—42no—
322D8×D13—42no—
323D8×D13—42no—
324D8×D13—42no—
325#88162—42no—
326#88162—42no—
327C2×D104C2311yescharacteristic
328C2×D104C2311yescharacteristic
329C2×D104C2311yescharacteristic
330C2×D104C2311yescharacteristic
331C2×D104C2311yescharacteristic, complemented
332C2×D104C2311yescharacteristic, complemented
333C2×#6095C2311yescharacteristic
334C2×#6095C2311yescharacteristic
335C2×#6095C2311yescharacteristic, complemented
336C2×#6094C2311yescharacteristic, complemented
337C2×C8×D13C2311yescharacteristic
338C2×C8×D13C2311yescharacteristic
339C2×C8×D13C2311yescharacteristic, complemented
340#88152—21no—
341#88151—21no—
342#88151C2311yescharacteristic
343#88151C2311yescharacteristic
344#88151C2311yescharacteristic, complemented
345#88150—21no—
346#88150D411yescharacteristic
347#88149—21no—
348#88149—21no—
349#88149—21no—
350#88149—21no—
351#88149—21no—
352#88149C2311yescharacteristic
353#88149C2311yescharacteristic
354#88149C2311yescharacteristic
355#88149C2311yescharacteristic
356#88149C2311yescharacteristic
357#88149C2311yescharacteristic, complemented
358#88148—21no—
359#88148—21no—
360#88148—21no—
361#88148—21no—
362#88148—21no—
363#88148—21no—
364#88148D411yescharacteristic
365#88147—21no—
366#88147—21no—
367#88147C2311yescharacteristic
368#88147C2311yescharacteristic, complemented
369#88147C2311yescharacteristic, complemented
370#88146—21no—
371#88146C2311yescharacteristic
372#88146C2311yescharacteristic, complemented
373C4⋊C4×D13C2311yescharacteristic
374#88144—21no—
375#88142C2311yescharacteristic, complemented
376#88140—21no—
377#88139—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#88138—21no—
388#88138—21no—
389#88138D411yescharacteristic
390#88137—21no—
391#88137—21no—
392#88137—21no—
393#88137D411yescharacteristic
394#88136—21no—
395#88136—21no—
396#88136—21no—
397#88136—21no—
398#88136—21no—
399#88136—21no—
400#88136—21no—
401#88136—21no—
402#88136—21no—
403#88136—21no—
404#88136—21no—
405#88136—21no—
406#88136—21no—
407#88136—21no—
408#88136—21no—
409#88136D411yescharacteristic
410#88135—21no—
411#88135—21no—
412C22⋊C4×D13—21no—
413C22⋊C4×D13—21no—
414C22⋊C4×D13—21no—
415C22⋊C4×D13—21no—
416C22⋊C4×D13—21no—
417C22⋊C4×D13—21no—
418#88133—21no—
419#88132D411yescharacteristic
420#88129—21no—
421#88128C2311yescharacteristic
422#88128C2311yescharacteristic, complemented
423C4×D52—21no—
424C4×D52—21no—
425C4×D52C2311yescharacteristic
426C4×D52C2311yescharacteristic
427#88126—21no—
428#88126C2311yescharacteristic
429C4×Dic26C2311yescharacteristic, complemented
430C13×#107C2311yescharacteristic, complemented
431C13×#107C2311yescharacteristic, complemented
432C13×#106C2311yescharacteristic, complemented
433C13×C4⋊C8C2311yescharacteristic, complemented
434C13×#103C2311yescharacteristic, complemented
435C13×#103C2311yescharacteristic, complemented
436C13×#103C2311yescharacteristic, complemented
437C13×#102C2311yescharacteristic
438C13×#102C2311yescharacteristic
439C13×#102C2311yescharacteristic
440C13×#102C2311yescharacteristic
441C13×#102C2311yescharacteristic
442C13×#102C2311yescharacteristic
443C13×#102C2311yescharacteristic, complemented
444C13×C22⋊C8C2311yescharacteristic
445C13×C22⋊C8C2311yescharacteristic, complemented
446C4×C8×C13C2311yescharacteristic, complemented
447#88075C2311yescharacteristic, complemented
448#88072C2311yescharacteristic
449#88072C2311yescharacteristic
450#88072C2311yescharacteristic, complemented
451C22⋊#1055C2311yescharacteristic
452C22⋊#1055C2311yescharacteristic, complemented
453#88061C2311yescharacteristic
454#88061C2311yescharacteristic
455#88061C2311yescharacteristic, complemented
456#88061C2311yescharacteristic, complemented
457#88061C2311yescharacteristic, complemented
458#88060C2311yescharacteristic
459#88060C2311yescharacteristic
460#88060C2311yescharacteristic
461#88060C2311yescharacteristic
462#88060C2311yescharacteristic
463#88060C2311yescharacteristic
464#88060C2311yescharacteristic, complemented
465#88060C2311yescharacteristic, complemented
466#88057C2311yescharacteristic, complemented
467#88056C2311yescharacteristic, complemented
468#88055C2311yescharacteristic, complemented
469#88054C2311yescharacteristic, complemented
470#88054C2311yescharacteristic, complemented
471C8×Dic13C2311yescharacteristic, complemented
472#88050C2311yescharacteristic, complemented
473#88049C2311yescharacteristic
474#88049C2311yescharacteristic
475#88049C2311yescharacteristic
476#88049C2311yescharacteristic
477#88049C2311yescharacteristic
478#88049C2311yescharacteristic
479#88049C2311yescharacteristic, complemented
480#88049C2311yescharacteristic, complemented
481#88049C2311yescharacteristic, complemented
482#88049C2311yescharacteristic, complemented
483#88049C2311yescharacteristic, complemented
484#88048C2311yescharacteristic, complemented
485#88048C2311yescharacteristic, complemented
486#88047C2311yescharacteristic, complemented
487#88047C2311yescharacteristic, complemented
488C4⋊#1055C2311yescharacteristic, complemented
489#88043C2311yescharacteristic, complemented
490#61609—131nomaximal, Sylow
491C24×C13—21no—
492C23×D13—21no—
493C23×D13—21no—
494C23×D13—21no—
495C23×D13—21no—
496C23×D13—21no—
497C23×D13—21no—
498C23×D13—21no—
499C23×D13—21no—
500C23×D13—21no—
501C23×D13—44no—
502C23×D13—82no—
503C23×D13—82no—
504C23×D13C2×D411yescharacteristic
505C13×#41—22no—
506C13×#41—41no—
507C2×Q8×C13C2411yescharacteristic
508C2×D4×C13—22no—
509C2×D4×C13—21no—
510C2×D4×C13—21no—
511C2×D4×C13—21no—
512C2×D4×C13—21no—
513C2×D4×C13—21no—
514C2×D4×C13—41no—
515C2×D4×C13C2×D411yescharacteristic
516C2×D4×C13C2411yescharacteristic
517C2×D4×C13C2411yescharacteristic
518C2×D4×C13C2411yescharacteristic
519C22×C4×C13—21no—
520C22×C4×C13—21no—
521C22×C4×C13—21no—
522C22×C4×C13—21no—
523C22×C4×C13C2411yescharacteristic
524C22×C4×C13C2411yescharacteristic
525C2×C22⋊D13—21no—
526C2×C22⋊D13—21no—
527C2×C22⋊D13—21no—
528C2×C22⋊D13—21no—
529C2×C22⋊D13—21no—
530C2×C22⋊D13—21no—
531C2×C22⋊D13—21no—
532C2×C22⋊D13—21no—
533C2×C22⋊D13—21no—
534C2×C22⋊D13—21no—
535C2×C22⋊D13—21no—
536C2×C22⋊D13—21no—
537C2×C22⋊D13—21no—
538C2×C22⋊D13—21no—
539C2×C22⋊D13—21no—
540C2×C22⋊D13—21no—
541C2×C22⋊D13—21no—
542C2×C22⋊D13—44no—
543C2×C22⋊D13—82no—
544C2×C22⋊D13C2×D411yescharacteristic
545C2×C22⋊D13C2×D411yescharacteristic
546C2×C22⋊D13C2×D411yescharacteristic
547C2×C22⋊D13C2×D411yescharacteristic
548C22×Dic13—21no—
549C22×Dic13C2×D411yescharacteristic
550#6131—22no—
551#6131—41no—
552#6131—41no—
553#6131—41no—
554D4×D13—22no—
555D4×D13—22no—
556D4×D13—22no—
557D4×D13—22no—
558D4×D13—22no—
559D4×D13—41no—
560D4×D13—41no—
561D4×D13—41no—
562D4×D13—41no—
563D4×D13—41no—
564D4×D13—41no—
565D4×D13—41no—
566D4×D13—41no—
567D4×D13—41no—
568D4×D13—44no—
569D4×D13—44no—
570D4×D13—44no—
571D4×D13—44no—
572D4×D13—82no—
573D4×D13—82no—
574D4×D13—82no—
575#6127—41no—
576#6127—41no—
577#6127—41no—
578#6127—41no—
579#6127—41no—
580#6127—41no—
581#6127—44no—
582#6127—82no—
583C2×D52—22no—
584C2×D52—22no—
585C2×D52—21no—
586C2×D52—21no—
587C2×D52—21no—
588C2×D52—21no—
589C2×D52—21no—
590C2×D52—21no—
591C2×D52—21no—
592C2×D52—21no—
593C2×D52—21no—
594C2×D52—21no—
595C2×D52—21no—
596C2×D52—21no—
597C2×D52—21no—
598C2×D52—21no—
599C2×D52—41no—
600C2×D52—41no—
601C2×D52—44no—
602C2×D52—82no—
603C2×D52—82no—
604C2×D52C2×D411yescharacteristic
605C2×D52C2×D411yescharacteristic
606C2×D52C2411yescharacteristic
607C2×D52C2411yescharacteristic
608C2×D52C2411yescharacteristic
609C2×D52C2411yescharacteristic
610C2×D52C2411yescharacteristic
611C2×C4×D13—21no—
612C2×C4×D13—21no—
613C2×C4×D13—21no—
614C2×C4×D13—21no—
615C2×C4×D13—21no—
616C2×C4×D13—21no—
617C2×C4×D13—21no—
618C2×C4×D13—21no—
619C2×C4×D13—21no—
620C2×C4×D13—41no—
621C2×C4×D13—41no—
622C2×C4×D13C2×D411yescharacteristic
623C2×C4×D13C2×D411yescharacteristic
624C2×C4×D13C2411yescharacteristic
625C2×C4×D13C2411yescharacteristic
626C2×C4×D13C2411yescharacteristic
627C2×Dic26—21no—
628C2×Dic26C2×D411yescharacteristic
629C2×Dic26C2411yescharacteristic
630C13×SD16—41no—
631C13×D8—22no—
632C13×D8—41no—
633C13×M16—41no—
634C13×M16—41no—
635C2×C8×C13C2411yescharacteristic
636C2×C8×C13C2411yescharacteristic
637C2×C8×C13C2411yescharacteristic
638C2×C8×C13C2411yescharacteristic
639C13×C4⋊C4—21no—
640C13×C4⋊C4—21no—
641C13×C4⋊C4—21no—
642C13×C4⋊C4—21no—
643C13×C4⋊C4C2×D411yescharacteristic
644C13×C4⋊C4C2411yescharacteristic
645C13×C4⋊C4C2411yescharacteristic
646C13×C4⋊C4C2411yescharacteristic
647C13×C4⋊C4C2411yescharacteristic
648C13×C22⋊C4—21no—
649C13×C22⋊C4—21no—
650C13×C22⋊C4—21no—
651C13×C22⋊C4—21no—
652C13×C22⋊C4—21no—
653C13×C22⋊C4—21no—
654C13×C22⋊C4—21no—
655C13×C22⋊C4—21no—
656C13×C22⋊C4—21no—
657C13×C22⋊C4C2×D411yescharacteristic
658C13×C22⋊C4C2×D411yescharacteristic
659C42×C13—21no—
660C42×C13C2411yescharacteristic
661C22⋊Dic13—21no—
662C22⋊Dic13—21no—
663C22⋊Dic13—21no—
664C22⋊Dic13—21no—
665C22⋊Dic13—21no—
666C22⋊Dic13C2×D411yescharacteristic
667C22⋊Dic13C2×D411yescharacteristic
668#6107—41no—
669#6106—41no—
670#6106—41no—
671#6105—22no—
672#6105—41no—
673#6104—22no—
674#6104—22no—
675#6104—22no—
676#6104—41no—
677#6104—41no—
678#6104—41no—
679#6104—41no—
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#6103—21no—
698#6103—21no—
699#6103—21no—
700#6103—21no—
701#6103—21no—
702#6103C2×D411yescharacteristic
703#6103C2×D411yescharacteristic
704#6103C2×D411yescharacteristic
705#6103C2×D411yescharacteristic
706#6103C2×D411yescharacteristic
707#6103C2×D411yescharacteristic
708C4⋊Dic13—21no—
709C4⋊Dic13—21no—
710C4⋊Dic13—21no—
711C4⋊Dic13C2×D411yescharacteristic
712C4⋊Dic13C2411yescharacteristic
713C4⋊Dic13C2411yescharacteristic
714#6101—21no—
715#6101—21no—
716#6101—21no—
717#6101—21no—
718#6101C2×D411yescharacteristic
719#6101C2×D411yescharacteristic
720#6101C2×D411yescharacteristic
721#6101C2×D411yescharacteristic
722C4×Dic13—21no—
723C4×Dic13—21no—
724C4×Dic13—21no—
725C4×Dic13C2411yescharacteristic
726#6099—41no—
727C2×#1055—41no—
728C2×#1055C2411yescharacteristic
729C2×#1055C2411yescharacteristic
730C2×#1055C2411yescharacteristic
731C2×#1055C2411yescharacteristic
732D104—22no—
733D104—22no—
734D104—41no—
735D104—41no—
736D104—41no—
737D104—41no—
738#6095—22no—
739#6095—41no—
740#6095—41no—
741#6094—41no—
742C8×D13—41no—
743C8×D13—41no—
744C8×D13—41no—
745#3542—131no—
746#3484—131no—
747#3325—131no—
748#3322D1311yescharacteristic, complemented
749#3319—131no—
750#3318—131no—
751#3310—131no—
752#3306—131no—
753#3296—131no—
754#3294—131no—
755#3280—131no—
756D4×D8—131no—
757#3274—131no—
758#3273—131no—
759#3268—131no—
760#3264—131no—
761#3264—131no—
762#3264—131no—
763#3224—131no—
764#3220—131no—
765#3199—131no—
766#3198—131no—
767#3194—131no—
768#3191—131no—
769#3122—131no—
770#3118—131no—
771#3012—131no—
772#3008—131no—
773#3003—131no—
774C2×#447—131no—
775#2976—131no—
776C23×C13—21no—
777C23×C13—21no—
778C23×C13—21no—
779C23×C13—42no—
780C23×C13—42no—
781C23×C13—81no—
782C23×C13C22×D411yescharacteristic
783C23×C13C22×D411yescharacteristic
784C22×D13—21no—
785C22×D13—24no—
786C22×D13—22no—
787C22×D13—21no—
788C22×D13—21no—
789C22×D13—21no—
790C22×D13—21no—
791C22×D13—41no—
792C22×D13—41no—
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—81no—
807C22×D13—81no—
808C22×D13—81no—
809C22×D13—81no—
810C22×D13—81no—
811C22×D13—81no—
812C22×D13—81no—
813C22×D13—81no—
814C22×D13—81no—
815C22×D13—81no—
816C22×D13—81no—
817C22×D13—81no—
818C22×D13—81no—
819C22×D13—816no—
820C22×D13C22×D411yescharacteristic
821C22×D13C22×D411yescharacteristic
822C22×D13C22×D411yescharacteristic
823Q8×C13—21no—
824Q8×C13—21no—
825D4×C13—21no—
826D4×C13—21no—
827D4×C13—21no—
828D4×C13—21no—
829D4×C13—21no—
830D4×C13—41no—
831D4×C13—42no—
832D4×C13—42no—
833D4×C13—81no—
834D4×C13—81no—
835D4×C13—81no—
836D4×C13H(5,𝔽2)12yes—
837C2×C4×C13—21no—
838C2×C4×C13—21no—
839C2×C4×C13—21no—
840C2×C4×C13—21no—
841C2×C4×C13—21no—
842C2×C4×C13—21no—
843C2×C4×C13—21no—
844C2×C4×C13—21no—
845C2×C4×C13—21no—
846C2×C4×C13—42no—
847C2×C4×C13—81no—
848C2×C4×C13—81no—
849C2×C4×C13—81no—
850C2×C4×C13C22×D411yescharacteristic
851C2×C4×C13C22×D411yescharacteristic
852C2×C4×C13C22×D411yescharacteristic
853C2×C4×C13C22×D411yescharacteristic
854C2×C4×C13C2511yescharacteristic
855C22⋊D13—24no—
856C22⋊D13—22no—
857C22⋊D13—41no—
858C22⋊D13—41no—
859C22⋊D13—41no—
860C22⋊D13—42no—
861C22⋊D13—42no—
862C22⋊D13—42no—
863C22⋊D13—42no—
864C22⋊D13—42no—
865C22⋊D13—81no—
866C22⋊D13—81no—
867C22⋊D13—81no—
868C22⋊D13—81no—
869C22⋊D13—81no—
870C22⋊D13—81no—
871C22⋊D13—81no—
872C22⋊D13—81no—
873C22⋊D13—81no—
874C22⋊D13—81no—
875C22⋊D13—81no—
876C2×Dic13—21no—
877C2×Dic13—21no—
878C2×Dic13—21no—
879C2×Dic13—41no—
880C2×Dic13—81no—
881C2×Dic13C22×D411yescharacteristic
882C2×Dic13C22×D411yescharacteristic
883C2×Dic13C22×D411yescharacteristic
884C2×Dic13C22×D411yescharacteristic
885C2×Dic13C22×D411yescharacteristic
886D52—22no—
887D52—21no—
888D52—21no—
889D52—21no—
890D52—21no—
891D52—21no—
892D52—21no—
893D52—21no—
894D52—21no—
895D52—21no—
896D52—41no—
897D52—42no—
898D52—42no—
899D52—42no—
900D52—42no—
901D52—42no—
902D52—42no—
903D52—81no—
904D52—81no—
905D52—81no—
906D52—81no—
907D52—81no—
908D52—81no—
909D52—81no—
910D52—81no—
911D52H(5,𝔽2)12yes—
912C4×D13—21no—
913C4×D13—21no—
914C4×D13—21no—
915C4×D13—21no—
916C4×D13—21no—
917C4×D13—21no—
918C4×D13—41no—
919C4×D13—41no—
920C4×D13—42no—
921C4×D13—42no—
922C4×D13—42no—
923C4×D13—81no—
924C4×D13—81no—
925C4×D13—81no—
926C4×D13—81no—
927C4×D13—81no—
928C4×D13—81no—
929Dic26—21no—
930Dic26—21no—
931Dic26—41no—
932Dic26—81no—
933C8×C13—21no—
934C8×C13—21no—
935C8×C13—21no—
936C8×C13—21no—
937#1055—21no—
938#1055—21no—
939#1055—21no—
940#1055—21no—
941C2×H(5,𝔽2)—131no—
942C23×D4—131no—
943C2×AGL(1,ℤ/8)—131no—
944C2×AGL(1,ℤ/8)—131no—
945C2×AGL(1,ℤ/8)—131no—
946C2×AGL(1,ℤ/8)—131no—
947C2×#135—131no—
948C22×D8—131no—
949C22×D8—131no—
950C22×D8—131no—
951#562—261no—
952#560—261no—
953#555—131no—
954#553C2×D1311yescharacteristic, complemented
955#552—131no—
956#551—261no—
957#550—131no—
958#547—131no—
959#546—131no—
960#546—131no—
961#546—131no—
962#546—131no—
963#546—131no—
964#546—261no—
965#546—261no—
966#546—261no—
967#546C2×D1311yescharacteristic, complemented
968D42—131no—
969D42—131no—
970D42—131no—
971D42—131no—
972D42—131no—
973D42—261no—
974D42—261no—
975#542—131no—
976#540—131no—
977#540—261no—
978#538—261no—
979#537—131no—
980#535—131no—
981#535—131no—
982#535—131no—
983#535—261no—
984#534—261no—
985#534—261no—
986#534—261no—
987#525—131no—
988#525—131no—
989#525—131no—
990C2×#121—131no—
991C2×#120—261no—
992C2×#120—261no—
993#518—131no—
994#496—131no—
995#496—131no—
996#495—131no—
997#493—131no—
998#490—131no—
999#489—131no—
1000#488C2×D1311yescharacteristic, complemented
1001#486—131no—
1002#485—131no—
1003#485C2×D1311yescharacteristic, complemented
1004#483—131no—
1005#482—131no—
1006#482—131no—
1007#482—131no—
1008#482—131no—
1009#482—131no—
1010#482—131no—
1011#481—131no—
1012#480—131no—
1013#480C2×D1311yescharacteristic, complemented
1014#478—131no—
1015#478C2×D1311yescharacteristic, complemented
1016#476—131no—
1017#474—131no—
1018#469—131no—
1019#469—131no—
1020#469—131no—
1021#469—131no—
1022#469C2×D1311yescharacteristic, complemented
1023#468—131no—
1024#468—131no—
1025#468C2×D1311yescharacteristic, complemented
1026#467—131no—
1027#466—131no—
1028#466—131no—
1029#466—131no—
1030#466—131no—
1031#465—131no—
1032#465—131no—
1033#465—131no—
1034#464—131no—
1035#463—131no—
1036#463—131no—
1037#463—131no—
1038#463—131no—
1039#463C2×D1311yescharacteristic, complemented
1040#460—131no—
1041#459—131no—
1042#459—131no—
1043#459—131no—
1044#459—131no—
1045#459—131no—
1046#452—131no—
1047#452—131no—
1048#452—131no—
1049#450—131no—
1050#450—131no—
1051#450—131no—
1052#450—131no—
1053#450—131no—
1054#450—131no—
1055#449—131no—
1056#449—131no—
1057#449—131no—
1058#449—131no—
1059#449—131no—
1060#449—131no—
1061#449—131no—
1062#449—131no—
1063#449C2×D1311yescharacteristic, complemented
1064#447—131no—
1065#447—131no—
1066#447—131no—
1067#447—131no—
1068#447—131no—
1069#447—131no—
1070#447—131no—
1071#447—131no—
1072#447—131no—
1073#447—131no—
1074#447—131no—
1075#447—131no—
1076#447—131no—
1077#447—131no—
1078#447—131no—
1079#447—131no—
1080#447—131no—
1081#447C2×D1311yescharacteristic, complemented
1082#442—131no—
1083#442—131no—
1084#442—131no—
1085#440—131no—
1086C4×SD16—131no—
1087C4×D8—131no—
1088C4×D8—131no—
1089C4×D8C2×D1311yescharacteristic, complemented
1090#436—131no—
1091#436C2×D1311yescharacteristic, complemented
1092#435—131no—
1093#435—131no—
1094#435—131no—
1095#435—131no—
1096C8×D4—131no—
1097C8×D4—131no—
1098#433—131no—
1099#433—131no—
1100#418—131no—
1101#418—131no—
1102#418C2×D1311yescharacteristic, complemented
1103#417C2×D1311yescharacteristic, complemented
1104#416—131no—
1105C2×#102—131no—
1106C2×#102—131no—
1107C2×#102—131no—
1108#408—131no—
1109#408—131no—
1110#407—131no—
1111C2×C22⋊C8—131no—
1112C22×C13—21no—
1113C22×C13—21no—
1114C22×C13—21no—
1115C22×C13—22no—
1116C22×C13—21no—
1117C22×C13—21no—
1118C22×C13—21no—
1119C22×C13—41no—
1120C22×C13—41no—
1121C22×C13—41no—
1122C22×C13—41no—
1123C22×C13—41no—
1124C22×C13—41no—
1125C22×C13—41no—
1126C22×C13—41no—
1127C22×C13—84no—
1128C22×C13C23×D411yescharacteristic
1129C2×D13—21no—
1130C2×D13—21no—
1131C2×D13—21no—
1132C2×D13—21no—
1133C2×D13—21no—
1134C2×D13—21no—
1135C2×D13—22no—
1136C2×D13—21no—
1137C2×D13—21no—
1138C2×D13—44no—
1139C2×D13—41no—
1140C2×D13—41no—
1141C2×D13—41no—
1142C2×D13—41no—
1143C2×D13—41no—
1144C2×D13—41no—
1145C2×D13—41no—
1146C2×D13—41no—
1147C2×D13—41no—
1148C2×D13—41no—
1149C2×D13—41no—
1150C2×D13—41no—
1151C2×D13—41no—
1152C2×D13—41no—
1153C2×D13—84no—
1154C2×D13—84no—
1155C2×D13—84no—
1156C2×D13—84no—
1157C2×D13—84no—
1158C2×D13—162no—
1159C2×D13—162no—
1160C2×D13—162no—
1161C2×D13—162no—
1162C2×D13#57612yes—
1163C4×C13—21no—
1164C4×C13—21no—
1165C4×C13—21no—
1166C4×C13—21no—
1167C4×C13—41no—
1168C4×C13—41no—
1169C4×C13—41no—
1170C4×C13—41no—
1171C4×C13—41no—
1172C4×C13C2×H(5,𝔽2)11yescharacteristic
1173C4×C13C2×H(5,𝔽2)11yescharacteristic
1174Dic13—21no—
1175Dic13—21no—
1176Dic13—21no—
1177Dic13—21no—
1178Dic13—21no—
1179Dic13—41no—
1180Dic13—41no—
1181Dic13—41no—
1182C25—261no—
1183H(5,𝔽2)—522no—
1184H(5,𝔽2)—522no—
1185C2×#41—131no—
1186C2×#41—131no—
1187C2×#41—131no—
1188C2×#41—131no—
1189C2×#41—131no—
1190C2×#41—261no—
1191C2×#41—261no—
1192C2×#41C22×D1311yescharacteristic
1193C22×D4—131no—
1194C22×D4—131no—
1195C22×D4—131no—
1196C22×D4—131no—
1197C22×D4—131no—
1198C22×D4—131no—
1199C22×D4—131no—
1200C22×D4—131no—
1201C22×D4—131no—
1202C22×D4—261no—
1203C22×D4—261no—
1204C22×D4—261no—
1205C22×D4—261no—
1206C22×D4—261no—
1207C22×D4—261no—
1208C22×D4—261no—
1209C22×D4—261no—
1210C22×D4—261no—
1211C22×D4—261no—
1212C22×D4—261no—
1213C22×D4—261no—
1214C22×D4—522no—
1215C22×D4—522no—
1216C22×D4C22×D1311yescharacteristic
1217C23×C4—131no—
1218AGL(1,ℤ/8)—522no—
1219AGL(1,ℤ/8)—522no—
1220AGL(1,ℤ/8)—522no—
1221AGL(1,ℤ/8)—522no—
1222#135—522no—
1223C2×Q16—131no—
1224C2×SD16—131no—
1225C2×SD16—131no—
1226C2×SD16—131no—
1227C2×SD16—131no—
1228C2×SD16—131no—
1229C2×SD16—131no—
1230C2×SD16—131no—
1231C2×SD16C22×D1311yescharacteristic, complemented
1232C2×D8—131no—
1233C2×D8—131no—
1234C2×D8—131no—
1235C2×D8—131no—
1236C2×D8—131no—
1237C2×D8—131no—
1238C2×D8—131no—
1239C2×D8—131no—
1240C2×D8—131no—
1241C2×D8—131no—
1242C2×D8—131no—
1243C2×D8—131no—
1244C2×D8—131no—
1245C2×D8—522no—
1246C2×D8—522no—
1247C2×D8—522no—
1248C2×D8C22×D1311yescharacteristic
1249C2×D8C22×D1311yescharacteristic
1250C2×M16—131no—
1251C2×M16—131no—
1252C2×M16C22×D1311yescharacteristic
1253C2×M16C22×D1311yescharacteristic, complemented
1254C22×C8—131no—
1255C22×C8—131no—
1256C22×C8—131no—
1257C22×C8—131no—
1258C4⋊Q8—131no—
1259#127—131no—
1260#127—131no—
1261#127—131no—
1262#127—261no—
1263#127—261no—
1264#127—261no—
1265#126—21no—
1266#126—261no—
1267#126—261no—
1268#125—261no—
1269#125C22×D1311yescharacteristic, complemented
1270#124—131no—
1271#124—131no—
1272#124—261no—
1273#124—261no—
1274#124—261no—
1275#124—261no—
1276#124—261no—
1277#124C22×D1311yescharacteristic
1278#123—21no—
1279#123—21no—
1280#123—131no—
1281#123—131no—
1282#123—261no—
1283#123—261no—
1284#123—261no—
1285#123—261no—
1286#123—261no—
1287#123—261no—
1288#123—261no—
1289#123—261no—
1290#123—261no—
1291#123—261no—
1292#123—261no—
1293#123—261no—
1294#123—261no—
1295C22⋊Q8—131no—
1296C22⋊Q8—131no—
1297C22⋊Q8—131no—
1298C22⋊Q8—131no—
1299C22⋊Q8—131no—
1300C22⋊Q8—131no—
1301C22⋊Q8—261no—
1302C22⋊Q8—261no—
1303C22⋊Q8—261no—
1304C22⋊Q8C22×D1311yescharacteristic
1305#121—21no—
1306#121—21no—
1307#121—131no—
1308#121—131no—
1309#121—131no—
1310#121—131no—
1311#121—131no—
1312#121—131no—
1313#121—131no—
1314#121—131no—
1315#121—131no—
1316#121—131no—
1317#121—131no—
1318#121—131no—
1319#121—131no—
1320#121—131no—
1321#121—261no—
1322#121—261no—
1323#121—261no—
1324#121—261no—
1325#121—261no—
1326#121—261no—
1327#121—261no—
1328#121—261no—
1329#121—261no—
1330#121—261no—
1331#121—261no—
1332#121—261no—
1333#121—261no—
1334#121—261no—
1335#121—261no—
1336#121—261no—
1337#121—261no—
1338#121—261no—
1339#121—261no—
1340#121—261no—
1341#121—261no—
1342#121—261no—
1343#121C22×D1311yescharacteristic
1344#121C22×D1311yescharacteristic
1345#121C22×D1311yescharacteristic, complemented
1346#120—21no—
1347#120—131no—
1348#120—131no—
1349#120—261no—
1350#120—261no—
1351#120—261no—
1352#120—261no—
1353#120—261no—
1354#120—261no—
1355#120—261no—
1356#120—261no—
1357#120—261no—
1358#120—261no—
1359#120—261no—
1360#120—261no—
1361#120—261no—
1362#120—261no—
1363#120—261no—
1364#120—261no—
1365#120—261no—
1366#120—261no—
1367#120—261no—
1368#120—261no—
1369#120—261no—
1370#120—261no—
1371#120—261no—
1372C4×Q8—131no—
1373C4×D4—21no—
1374C4×D4—131no—
1375C4×D4—131no—
1376C4×D4—131no—
1377C4×D4—131no—
1378C4×D4—131no—
1379C4×D4—131no—
1380C4×D4—131no—
1381C4×D4—131no—
1382C4×D4—261no—
1383C4×D4—261no—
1384C4×D4—261no—
1385C4×D4—261no—
1386C4×D4—261no—
1387C4×D4—261no—
1388C4×D4—261no—
1389C4×D4C22×D1311yescharacteristic
1390C4×D4C22×D1311yescharacteristic
1391C4×D4C22×D1311yescharacteristic, complemented
1392#117—131no—
1393#117—131no—
1394#117—131no—
1395#117—261no—
1396#117—261no—
1397#117C22×D1311yescharacteristic
1398C2×C4⋊C4—131no—
1399C2×C4⋊C4C22×D1311yescharacteristic, complemented
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—261no—
1402C2×C22⋊C4—261no—
1403C2×C22⋊C4—261no—
1404C2×C22⋊C4—261no—
1405C2×C22⋊C4—261no—
1406C2×C22⋊C4—261no—
1407C2×C22⋊C4—261no—
1408C2×C22⋊C4—261no—
1409#107—131no—
1410#107—131no—
1411#107C22×D1311yescharacteristic, complemented
1412#107C22×D1311yescharacteristic, complemented
1413#106—131no—
1414#106—131no—
1415#106—131no—
1416#106C22×D1311yescharacteristic, complemented
1417C4⋊C8—131no—
1418C4⋊C8—131no—
1419C4⋊C8—131no—
1420C4⋊C8C22×D1311yescharacteristic, complemented
1421#103—131no—
1422#103—131no—
1423#103—131no—
1424#103C22×D1311yescharacteristic, complemented
1425#103C22×D1311yescharacteristic, complemented
1426#103C22×D1311yescharacteristic, complemented
1427#102—131no—
1428#102—131no—
1429#102—131no—
1430#102—131no—
1431#102—131no—
1432#102—131no—
1433#102—131no—
1434#102—131no—
1435#102—131no—
1436#102—131no—
1437#102—131no—
1438#102—131no—
1439#102—131no—
1440#102—131no—
1441#102—131no—
1442#102—131no—
1443#102—131no—
1444#102—131no—
1445#102—131no—
1446#102C22×D1311yescharacteristic
1447#102C22×D1311yescharacteristic
1448#102C22×D1311yescharacteristic
1449#102C22×D1311yescharacteristic
1450#102C22×D1311yescharacteristic
1451#102C22×D1311yescharacteristic
1452#102C22×D1311yescharacteristic, complemented
1453C22⋊C8—131no—
1454C22⋊C8—131no—
1455C22⋊C8—131no—
1456C22⋊C8—131no—
1457C22⋊C8—131no—
1458C22⋊C8—131no—
1459C22⋊C8—131no—
1460C22⋊C8—131no—
1461C22⋊C8—131no—
1462C22⋊C8—131no—
1463C22⋊C8C22×D1311yescharacteristic
1464C22⋊C8C22×D1311yescharacteristic, complemented
1465#97—131no—
1466#97—131no—
1467C4×C8—131no—
1468C4×C8C22×D1311yescharacteristic, complemented
1469C2×C13—41no—
1470C2×C13—42no—
1471C2×C13—41no—
1472C2×C13—81no—
1473C2×C13—81no—
1474C2×C13#348411yescharacteristic
1475C2×C13C2×#57611yescharacteristic
1476C2×C13#358511yescharacteristic
1477D13—22no—
1478D13—41no—
1479D13—41no—
1480D13—42no—
1481D13—81no—
1482D13—81no—
1483D13—81no—
1484D13—81no—
1485C24—21no—
1486C24—131no—
1487C24—261no—
1488C24—261no—
1489C24—261no—
1490C24—261no—
1491C24—261no—
1492C24—261no—
1493C24—261no—
1494C24—261no—
1495C24—261no—
1496C24—524no—
1497C24—1042no—
1498C24—1042no—
1499#41—22no—
1500#41—41no—
1501#41—262no—
1502#41—521no—
1503#41—521no—
1504#41—521no—
1505#41—521no—
1506#41—521no—
1507#41—521no—
1508#41—524no—
1509#41—521no—
1510#41—521no—
1511#41—521no—
1512#41—1042no—
1513C2×Q8—131no—
1514C2×Q8—131no—
1515C2×Q8—261no—
1516C2×Q8C23×D1311yescharacteristic
1517C2×D4—22no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—41no—
1524C2×D4—131no—
1525C2×D4—131no—
1526C2×D4—131no—
1527C2×D4—131no—
1528C2×D4—131no—
1529C2×D4—131no—
1530C2×D4—131no—
1531C2×D4—131no—
1532C2×D4—131no—
1533C2×D4—131no—
1534C2×D4—131no—
1535C2×D4—262no—
1536C2×D4—262no—
1537C2×D4—261no—
1538C2×D4—261no—
1539C2×D4—261no—
1540C2×D4—261no—
1541C2×D4—261no—
1542C2×D4—261no—
1543C2×D4—261no—
1544C2×D4—261no—
1545C2×D4—261no—
1546C2×D4—261no—
1547C2×D4—261no—
1548C2×D4—261no—
1549C2×D4—261no—
1550C2×D4—261no—
1551C2×D4—261no—
1552C2×D4—261no—
1553C2×D4—261no—
1554C2×D4—262no—
1555C2×D4—262no—
1556C2×D4—262no—
1557C2×D4—262no—
1558C2×D4—262no—
1559C2×D4—261no—
1560C2×D4—261no—
1561C2×D4—261no—
1562C2×D4—261no—
1563C2×D4—261no—
1564C2×D4—261no—
1565C2×D4—261no—
1566C2×D4—261no—
1567C2×D4—261no—
1568C2×D4—261no—
1569C2×D4—261no—
1570C2×D4—261no—
1571C2×D4—261no—
1572C2×D4—261no—
1573C2×D4—521no—
1574C2×D4—521no—
1575C2×D4—524no—
1576C2×D4—521no—
1577C2×D4—521no—
1578C2×D4—521no—
1579C2×D4—521no—
1580C2×D4—521no—
1581C2×D4—521no—
1582C2×D4—521no—
1583C2×D4—521no—
1584C2×D4—521no—
1585C2×D4—524no—
1586C2×D4—524no—
1587C2×D4—524no—
1588C2×D4—524no—
1589C2×D4—524no—
1590C2×D4—1042no—
1591C2×D4—1042no—
1592C2×D4—1042no—
1593C2×D4—1042no—
1594C2×D4—1042no—
1595C2×D4—1042no—
1596C2×D4D4×D1311yescharacteristic
1597C2×D4C23×D1311yescharacteristic
1598C2×D4C23×D1311yescharacteristic
1599C2×D4C23×D1311yescharacteristic
1600C22×C4—21no—
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—131no—
1605C22×C4—131no—
1606C22×C4—131no—
1607C22×C4—131no—
1608C22×C4—131no—
1609C22×C4—131no—
1610C22×C4—261no—
1611C22×C4—261no—
1612C22×C4—261no—
1613C22×C4—261no—
1614C22×C4—261no—
1615C22×C4—261no—
1616C22×C4—261no—
1617C22×C4—261no—
1618C22×C4—261no—
1619C22×C4—261no—
1620C22×C4—521no—
1621C22×C4—521no—
1622C22×C4C23×D1311yescharacteristic
1623C22×C4C23×D1311yescharacteristic
1624Q16—521no—
1625SD16—41no—
1626SD16—262no—
1627SD16—262no—
1628SD16—521no—
1629SD16—521no—
1630SD16—521no—
1631SD16—521no—
1632SD16—521no—
1633D8—22no—
1634D8—41no—
1635D8—262no—
1636D8—262no—
1637D8—262no—
1638D8—262no—
1639D8—262no—
1640D8—521no—
1641D8—521no—
1642D8—521no—
1643D8—521no—
1644D8—521no—
1645D8—521no—
1646D8—521no—
1647D8—521no—
1648M16—41no—
1649M16—41no—
1650M16—521no—
1651M16—521no—
1652C2×C8—131no—
1653C2×C8—131no—
1654C2×C8—131no—
1655C2×C8—131no—
1656C2×C8—521no—
1657C2×C8—521no—
1658C2×C8—521no—
1659C2×C8—521no—
1660C2×C8C23×D1311yescharacteristic
1661C2×C8C23×D1311yescharacteristic
1662C2×C8C23×D1311yescharacteristic
1663C2×C8C23×D1311yescharacteristic
1664C4⋊C4—21no—
1665C4⋊C4—21no—
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—131no—
1669C4⋊C4—131no—
1670C4⋊C4—131no—
1671C4⋊C4—131no—
1672C4⋊C4—131no—
1673C4⋊C4—131no—
1674C4⋊C4—131no—
1675C4⋊C4—261no—
1676C4⋊C4—261no—
1677C4⋊C4—261no—
1678C4⋊C4—261no—
1679C4⋊C4—261no—
1680C4⋊C4—261no—
1681C4⋊C4—261no—
1682C4⋊C4D4×D1311yescharacteristic
1683C4⋊C4C23×D1311yescharacteristic
1684C4⋊C4C23×D1311yescharacteristic
1685C4⋊C4C23×D1311yescharacteristic
1686C4⋊C4C23×D1311yescharacteristic
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—131no—
1697C22⋊C4—131no—
1698C22⋊C4—131no—
1699C22⋊C4—131no—
1700C22⋊C4—131no—
1701C22⋊C4—131no—
1702C22⋊C4—131no—
1703C22⋊C4—131no—
1704C22⋊C4—261no—
1705C22⋊C4—261no—
1706C22⋊C4—261no—
1707C22⋊C4—261no—
1708C22⋊C4—261no—
1709C22⋊C4—261no—
1710C22⋊C4—261no—
1711C22⋊C4—261no—
1712C22⋊C4—261no—
1713C22⋊C4—261no—
1714C22⋊C4—261no—
1715C22⋊C4—261no—
1716C22⋊C4—261no—
1717C22⋊C4—261no—
1718C22⋊C4—261no—
1719C22⋊C4—261no—
1720C22⋊C4—261no—
1721C22⋊C4—261no—
1722C22⋊C4—261no—
1723C22⋊C4—261no—
1724C22⋊C4—261no—
1725C22⋊C4—261no—
1726C22⋊C4—261no—
1727C22⋊C4—261no—
1728C22⋊C4—261no—
1729C22⋊C4—261no—
1730C22⋊C4—261no—
1731C22⋊C4D4×D1311yescharacteristic
1732C22⋊C4D4×D1311yescharacteristic
1733C42—21no—
1734C42—131no—
1735C42—261no—
1736C42—261no—
1737C42—261no—
1738C42C23×D1311yescharacteristic
1739C13#6160911yescharacteristic, complemented, Sylow
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—42no—
1744C23—42no—
1745C23—81no—
1746C23—131no—
1747C23—131no—
1748C23—131no—
1749C23—262no—
1750C23—264no—
1751C23—261no—
1752C23—261no—
1753C23—261no—
1754C23—261no—
1755C23—261no—
1756C23—521no—
1757C23—521no—
1758C23—522no—
1759C23—522no—
1760C23—522no—
1761C23—522no—
1762C23—522no—
1763C23—522no—
1764C23—522no—
1765C23—522no—
1766C23—522no—
1767C23—522no—
1768C23—1041no—
1769C23—1041no—
1770C23—1041no—
1771C23—1041no—
1772C23—1041no—
1773C23—1041no—
1774C23—1041no—
1775C23—1041no—
1776C23—1041no—
1777C23—1041no—
1778C23—1041no—
1779C23—1041no—
1780C23—1041no—
1781C23—1041no—
1782C23—1041no—
1783C23—1041no—
1784C23—10416no—
1785C23C2×D4×D1311yescharacteristic
1786C23C2×D4×D1311yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—261no—
1790Q8—261no—
1791Q8—521no—
1792Q8—1041no—
1793D4—21no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—41no—
1799D4—42no—
1800D4—42no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—132no—
1805D4—262no—
1806D4—262no—
1807D4—264no—
1808D4—261no—
1809D4—261no—
1810D4—261no—
1811D4—261no—
1812D4—261no—
1813D4—261no—
1814D4—261no—
1815D4—261no—
1816D4—261no—
1817D4—521no—
1818D4—522no—
1819D4—522no—
1820D4—522no—
1821D4—522no—
1822D4—522no—
1823D4—522no—
1824D4—521no—
1825D4—521no—
1826D4—521no—
1827D4—522no—
1828D4—522no—
1829D4—522no—
1830D4—522no—
1831D4—522no—
1832D4—1041no—
1833D4—1041no—
1834D4—1041no—
1835D4—1041no—
1836D4—1041no—
1837D4—1041no—
1838D4—1041no—
1839D4—1041no—
1840D4—1041no—
1841D4—1041no—
1842D4—1041no—
1843D4—1041no—
1844D4—1041no—
1845D4—1041no—
1846D4—1041no—
1847D4—1041no—
1848D4—1041no—
1849D4—1041no—
1850D4—1041no—
1851D4#8825612yes—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—42no—
1862C2×C4—81no—
1863C2×C4—81no—
1864C2×C4—81no—
1865C2×C4—131no—
1866C2×C4—131no—
1867C2×C4—131no—
1868C2×C4—131no—
1869C2×C4—131no—
1870C2×C4—261no—
1871C2×C4—261no—
1872C2×C4—261no—
1873C2×C4—261no—
1874C2×C4—261no—
1875C2×C4—261no—
1876C2×C4—261no—
1877C2×C4—261no—
1878C2×C4—261no—
1879C2×C4—521no—
1880C2×C4—521no—
1881C2×C4—522no—
1882C2×C4—522no—
1883C2×C4—522no—
1884C2×C4—521no—
1885C2×C4—1041no—
1886C2×C4—1041no—
1887C2×C4—1041no—
1888C2×C4—1041no—
1889C2×C4—1041no—
1890C2×C4—1041no—
1891C2×C4—1041no—
1892C2×C4C2×D4×D1311yescharacteristic
1893C2×C4C2×D4×D1311yescharacteristic
1894C2×C4C2×D4×D1311yescharacteristic
1895C2×C4C2×D4×D1311yescharacteristic
1896C2×C4C24×D1311yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—261no—
1902C8—261no—
1903C8—261no—
1904C8—261no—
1905C22—21no—
1906C22—21no—
1907C22—22no—
1908C22—21no—
1909C22—21no—
1910C22—21no—
1911C22—21no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—84no—
1921C22—132no—
1922C22—261no—
1923C22—261no—
1924C22—261no—
1925C22—261no—
1926C22—262no—
1927C22—261no—
1928C22—261no—
1929C22—261no—
1930C22—261no—
1931C22—524no—
1932C22—521no—
1933C22—521no—
1934C22—521no—
1935C22—521no—
1936C22—521no—
1937C22—521no—
1938C22—521no—
1939C22—521no—
1940C22—521no—
1941C22—521no—
1942C22—521no—
1943C22—521no—
1944C22—521no—
1945C22—521no—
1946C22—1044no—
1947C22—1044no—
1948C22—1044no—
1949C22—1044no—
1950C22—1044no—
1951C22—2082no—
1952C22—2082no—
1953C22—2082no—
1954C22—2082no—
1955C22C22×D4×D1311yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—41no—
1964C4—41no—
1965C4—261no—
1966C4—261no—
1967C4—261no—
1968C4—261no—
1969C4—261no—
1970C4—521no—
1971C4—521no—
1972C4—521no—
1973C4C2×#8825611yescharacteristic
1974C4D13×H(5,𝔽2)11yescharacteristic
1975C2—41no—
1976C2—41no—
1977C2—42no—
1978C2—81no—
1979C2—81no—
1980C2—262no—
1981C2—521no—
1982C2—521no—
1983C2—522no—
1984C2—1041no—
1985C2—1041no—
1986C2—1041no—
1987C2—1041no—
1988C2#1312846611yescharacteristic
1989C2D13×#57611yescharacteristic
1990C2#1312961311yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3322C2
socleC22×C13C23×D4
hypercenter#3322D13
hypocenterC13#61609
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #13129155C2semidirect
2. #13128466C2semidirect
3. #13127074C2semidirect
4. #13126995C2semidirect
5. #13126971C2semidirect
6. #13126854C2semidirect
7. #13126798C2semidirect
8. #13126670C2semidirect
9. #13126647C2semidirect
10. #13126519C2semidirect
11. D8×D52C2semidirect
12. #13126458C2semidirect
13. #13126444C2semidirect
14. #13126372C2semidirect
15. #13126323C2semidirect
16. #13126322C2semidirect
17. #13126314C2semidirect
18. #13125929C2semidirect
19. #13125889C2semidirect
20. #13125698C2semidirect
21. #13125695C2semidirect
22. #13125651C2semidirect
23. #13125631C2semidirect
24. #13125081C2semidirect
25. #13125016C2semidirect
26. #13124142C2semidirect
27. #13124101C2semidirect
28. #13124065C2semidirect
29. D13×#447C2semidirect
30. #13123880C2semidirect
31. C13×#3322C2semidirect
32. C2×#88256C22semidirect
33. C22×D4×D13C22semidirect
34. C13×#553C22semidirect
35. C13×#546C22semidirect
36. #11719534C22semidirect
37. C2×#88204C22semidirect
38. D4×C22⋊D13C22semidirect
39. C2×#88186C22semidirect
40. C2×#88168C22semidirect
41. C2×D8×D13C22semidirect
42. C2×D8×D13C22semidirect
43. C2×D8×D13C22semidirect
44. C2×#88162C22semidirect
45. C2×#88162C22semidirect
48. #11719403C22semidirect
49. #11719399C22semidirect
51. #11719379C22semidirect
56. #11719335C22semidirect
57. #11719332C22semidirect
59. #11719317C22semidirect
60. #11719317C22semidirect
62. #11719314C22semidirect
64. #11719312C22semidirect
65. #11719312C22semidirect
67. D13×#121C22semidirect
71. #11719266C22semidirect
72. #11719258C22semidirect
75. D4×D52C22semidirect
76. D4×D52C22semidirect
78. #11719250C22semidirect
79. #11719237C22semidirect
80. #11719229C22semidirect
81. #11719215C22semidirect
82. #11719212C22semidirect
85. C13×#488C22semidirect
86. C13×#485C22semidirect
87. C13×#480C22semidirect
88. C13×#478C22semidirect
89. C13×#469C22semidirect
90. C13×#468C22semidirect
91. C13×#463C22semidirect
92. C13×#449C22semidirect
93. C13×#447C22semidirect
94. C4×C13×D8C22semidirect
95. C13×#436C22semidirect
96. C13×#418C22semidirect
97. C13×#417C22semidirect
98. #11718899C22semidirect
99. #11718878C22semidirect
100. #11718833C22semidirect
101. #11718830C22semidirect
102. #11718829C22semidirect
104. #11718817C22semidirect
105. #11718817C22semidirect
106. #11718815C22semidirect
107. #11718814C22semidirect
108. #11718796C22semidirect
109. #11718796C22semidirect
110. #11718790C22semidirect
111. #11718789C22semidirect
112. #11718788C22semidirect
113. #11718787C22semidirect
114. #11718728C22semidirect
115. #11718727C22semidirect
116. #11718719C22semidirect
117. #11718715C22semidirect
118. #11718710C22semidirect
119. #11718708C22semidirect
120. #11718700C22semidirect
121. #11718699C22semidirect
122. #11718699C22semidirect
123. #11718698C22semidirect
124. #11718697C22semidirect
125. #11718697C22semidirect
126. #11718679C22semidirect
127. #11718676C22semidirect
128. #11718676C22semidirect
129. #11718675C22semidirect
130. #11718672C22semidirect
131. #11718664C22semidirect
132. #11718662C22semidirect
133. #11718629C22semidirect
134. C2×#88049C22semidirect
135. #11718551C22semidirect
136. #11718549C22semidirect
137. #11718547C22semidirect
138. #11718546C22semidirect
139. #11718544C22semidirect
140. #11718544C22semidirect
141. #11718543C22semidirect
142. #11718533C22semidirect
143. #11718530C22semidirect
144. #11718527C22semidirect
145. #11718527C22semidirect
146. #11718525C22semidirect
147. #11718509C22semidirect
148. #11718504C22semidirect
149. #11718501C22semidirect
150. #11718497C22semidirect
151. #11718480C22semidirect
152. #11718480C22semidirect
153. #11718474C22semidirect
154. #11718472C22semidirect
155. #11718472C22semidirect
156. #11718472C22semidirect
157. #11718471C22semidirect
158. #11718471C22semidirect
159. #11718468C22semidirect
160. #11718466C22semidirect
161. #11718465C22semidirect
162. #11718456C22semidirect
163. #11718448C22semidirect
164. #11718447C22semidirect
165. #11718447C22semidirect
166. #11718446C22semidirect
167. #11718443C22semidirect
168. #11718440C22semidirect
169. #11718440C22semidirect
170. #11718439C22semidirect
171. #11718437C22semidirect
172. #11718437C22semidirect
173. #11718437C22semidirect
174. #11718437C22semidirect
175. #11718437C22semidirect
176. #11718434C22semidirect
177. #11718434C22semidirect
178. #11718434C22semidirect
179. #11718434C22semidirect
180. #11718434C22semidirect
181. #11718434C22semidirect
182. #11718434C22semidirect
183. #11718434C22semidirect
184. #11718434C22semidirect
185. #11718431C22semidirect
186. D13×#102C22semidirect
187. D13×#102C22semidirect
188. #11718422C22semidirect
189. #11718421C22semidirect
190. #11718417C22semidirect
191. #11718395C22semidirect
192. #11718395C22semidirect
193. #11718393C22semidirect
194. #11718393C22semidirect
195. #11718389C22semidirect
196. #11718388C22semidirect
197. #11718386C22semidirect
198. D13×C22⋊C8C22semidirect
199. #11718356C22semidirect
200. C4×#6095C22semidirect
201. #11718351C22semidirect
202. C8×D52C22semidirect
227. C2×D4×D13C23semidirect
232. C2×#6127C23semidirect
239. C2×C13×SD16C23semidirect
243. C2×C13×M16C23semidirect
245. C13×#125C23semidirect
254. C13×#121C23semidirect
259. C4×D4×C13C23semidirect
261. C2×C13×C4⋊C4C23semidirect
267. C2×#6107C23semidirect
268. C2×#6106C23semidirect
269. C2×#6106C23semidirect
290. #88190C23semidirect
301. C2×#6104C23semidirect
309. #88184C23semidirect
320. C22×#1055C23semidirect
331. C2×D104C23semidirect
332. C2×D104C23semidirect
335. C2×#6095C23semidirect
336. C2×#6094C23semidirect
339. C2×C8×D13C23semidirect
344. #88151C23semidirect
357. #88149C23semidirect
368. #88147C23semidirect
369. #88147C23semidirect
372. #88146C23semidirect
375. #88142C23semidirect
422. #88128C23semidirect
429. C4×Dic26C23semidirect
430. C13×#107C23semidirect
431. C13×#107C23semidirect
432. C13×#106C23semidirect
433. C13×C4⋊C8C23semidirect
434. C13×#103C23semidirect
435. C13×#103C23semidirect
436. C13×#103C23semidirect
443. C13×#102C23semidirect
445. C13×C22⋊C8C23semidirect
446. C4×C8×C13C23semidirect
447. #88075C23semidirect
450. #88072C23semidirect
452. C22⋊#1055C23semidirect
455. #88061C23semidirect
456. #88061C23semidirect
457. #88061C23semidirect
464. #88060C23semidirect
465. #88060C23semidirect
466. #88057C23semidirect
467. #88056C23semidirect
468. #88055C23semidirect
469. #88054C23semidirect
470. #88054C23semidirect
471. C8×Dic13C23semidirect
472. #88050C23semidirect
479. #88049C23semidirect
480. #88049C23semidirect
481. #88049C23semidirect
482. #88049C23semidirect
483. #88049C23semidirect
484. #88048C23semidirect
485. #88048C23semidirect
486. #88047C23semidirect
487. #88047C23semidirect
488. C4⋊#1055C23semidirect
489. #88043C23semidirect
748. #3322D13semidirect
954. #553C2×D13semidirect
967. #546C2×D13semidirect
1000. #488C2×D13semidirect
1003. #485C2×D13semidirect
1013. #480C2×D13semidirect
1015. #478C2×D13semidirect
1022. #469C2×D13semidirect
1025. #468C2×D13semidirect
1039. #463C2×D13semidirect
1063. #449C2×D13semidirect
1081. #447C2×D13semidirect
1089. C4×D8C2×D13semidirect
1091. #436C2×D13semidirect
1102. #418C2×D13semidirect
1103. #417C2×D13semidirect
1231. C2×SD16C22×D13semidirect
1253. C2×M16C22×D13semidirect
1269. #125C22×D13semidirect
1345. #121C22×D13semidirect
1391. C4×D4C22×D13semidirect
1399. C2×C4⋊C4C22×D13semidirect
1411. #107C22×D13semidirect
1412. #107C22×D13semidirect
1416. #106C22×D13semidirect
1420. C4⋊C8C22×D13semidirect
1424. #103C22×D13semidirect
1425. #103C22×D13semidirect
1426. #103C22×D13semidirect
1452. #102C22×D13semidirect
1464. C22⋊C8C22×D13semidirect
1468. C4×C8C22×D13semidirect
1739. C13#61609semidirect

Maximal subgroups

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

subgroupindex
#131291552
#131284662
#131270742
#131269952
#131269712
#131268542
#131267982
#131266702
#131266472
#131265192
D8×D522
#131264582
#131264442
#131263722
#131263232
#131263222
#131263142
#131259292
#131258892
#131256982
#131256952
#131256512
#131256312
#131250812
#131250162
#131241422
#131241012
#131240652
D13×#4472
#131238802
C13×#33222
#6160913