Finite Group Databasebeta

← #16758182

Subgroups — #16758182

Order 3328.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128780C211yesmaximal, characteristic, complemented
2#13127902C211yesmaximal, characteristic, complemented
3#13127878C211yesmaximal, characteristic, complemented
4#13127657C211yesmaximal, characteristic, complemented
5#13127539C211yesmaximal, characteristic, complemented
6#13127163C211yesmaximal, characteristic, complemented
7#13127052C211yesmaximal, characteristic, complemented
8#13126977C211yesmaximal, characteristic, complemented
9#13126962C211yesmaximal, characteristic, complemented
10#13126812C211yesmaximal, characteristic, complemented
11#13126797C211yesmaximal, characteristic, complemented
12#13126456C211yesmaximal, characteristic, complemented
13#13126443C211yesmaximal, characteristic, complemented
14#13126377C211yesmaximal, characteristic, complemented
15#13126362C211yesmaximal, characteristic, complemented
16#13126317C211yesmaximal, characteristic, complemented
17#13126312C211yesmaximal, characteristic, complemented
18#13126301C211yesmaximal, characteristic, complemented
19#13126247C211yesmaximal, characteristic, complemented
20#13126192C211yesmaximal, characteristic, complemented
21#13125930C211yesmaximal, characteristic, complemented
22#13125886C211yesmaximal, characteristic, complemented
23#13125873C211yesmaximal, characteristic, complemented
24#13125107C211yesmaximal, characteristic, complemented
25#13125014C211yesmaximal, characteristic, complemented
26#13124923C211yesmaximal, characteristic, complemented
27#13124371C211yesmaximal, characteristic, complemented
28#13124335C211yesmaximal, characteristic, complemented
29#13124296C211yesmaximal, characteristic, complemented
30#13124006C211yesmaximal, characteristic, complemented
31C13×#3546C211yesmaximal, characteristic, complemented
32C13×#560—21no—
33C13×#560—21no—
34C13×#556C2211yescharacteristic, complemented
35C13×#553—21no—
36C13×#550C2211yescharacteristic
37C13×#550C2211yescharacteristic, complemented
38C13×#550C2211yescharacteristic, complemented
39C13×#547C2211yescharacteristic, complemented
40C13×#546—21no—
41C13×#546C2211yescharacteristic
42C13×#546C2211yescharacteristic, complemented
43D42×C13C2211yescharacteristic, complemented
44C13×#542C2211yescharacteristic, complemented
45C13×#542C2211yescharacteristic, complemented
46C13×#538—21no—
47C13×#538—21no—
48C13×#537—21no—
49C13×#535—21no—
50C13×#535C2211yescharacteristic, complemented
51C13×#535C2211yescharacteristic, complemented
52C13×#532C2211yescharacteristic, complemented
53C13×#532C2211yescharacteristic, complemented
54C13×#529C2211yescharacteristic
55C2×#88204C2211yescharacteristic, complemented
56C2×#88203C2211yescharacteristic, complemented
57C2×#88203C2211yescharacteristic, complemented
58C2×#88203C2211yescharacteristic, complemented
59C2×#88186C2211yescharacteristic
60C22×#6104C2211yescharacteristic
61#11719414—21no—
62#11719410—21no—
63#11719397—21no—
64#11719383—21no—
65#11719361—21no—
66D13×#123—21no—
67#11719342—21no—
68#11719315—21no—
69#11719290C2211yescharacteristic, complemented
70#11719284C2211yescharacteristic, complemented
71#11719270C2211yescharacteristic
72#11719260C2211yescharacteristic, complemented
73#11719255C2211yescharacteristic
74#11719255C2211yescharacteristic, complemented
75D4×D52C2211yescharacteristic, complemented
76#11719246C2211yescharacteristic, complemented
77#11719240C2211yescharacteristic, complemented
78#11719239C2211yescharacteristic, complemented
79#11719228C2211yescharacteristic, complemented
80#11719226C2211yescharacteristic, complemented
81#11719184C2211yescharacteristic, complemented
82C2×C4×D52C2211yescharacteristic, complemented
83#11718900C2211yescharacteristic, complemented
84#11718900C2211yescharacteristic, complemented
85#11718900C2211yescharacteristic, complemented
86#11718899C2211yescharacteristic, complemented
87#11718899C2211yescharacteristic, complemented
88#11718899C2211yescharacteristic, complemented
89#11718899C2211yescharacteristic, complemented
90#11718899C2211yescharacteristic, complemented
91#11718894C2211yescharacteristic, complemented
92#11718893C2211yescharacteristic, complemented
93#11718893C2211yescharacteristic, complemented
94#11718893C2211yescharacteristic, complemented
95#11718879C2211yescharacteristic, complemented
96#11718878C2211yescharacteristic
97#11718878C2211yescharacteristic, complemented
98#11718878C2211yescharacteristic, complemented
99#11718876C2211yescharacteristic, complemented
100C2×#88072C2211yescharacteristic, complemented
101#11718755C2211yescharacteristic, complemented
102#11718748C2211yescharacteristic, complemented
103#11718747C2211yescharacteristic, complemented
104#11718745C2211yescharacteristic, complemented
105#11718745C2211yescharacteristic, complemented
106#11718744C2211yescharacteristic, complemented
107#11718744C2211yescharacteristic, complemented
108#11718743C2211yescharacteristic, complemented
109#11718736C2211yescharacteristic, complemented
110#11718736C2211yescharacteristic, complemented
111#11718735C2211yescharacteristic, complemented
112#11718735C2211yescharacteristic, complemented
113#11718734C2211yescharacteristic, complemented
114#11718733C2211yescharacteristic
115#11718733C2211yescharacteristic
116#11718733C2211yescharacteristic, complemented
117#11718733C2211yescharacteristic, complemented
118#11718733C2211yescharacteristic, complemented
119#11718733C2211yescharacteristic, complemented
120#11718733C2211yescharacteristic, complemented
121#11718733C2211yescharacteristic, complemented
122#11718732C2211yescharacteristic, complemented
123#11718732C2211yescharacteristic, complemented
124#11718731C2211yescharacteristic, complemented
125#11718720C2211yescharacteristic, complemented
126#11718719C2211yescharacteristic
127#11718718C2211yescharacteristic
128#11718718C2211yescharacteristic
129#11718718C2211yescharacteristic, complemented
130#11718718C2211yescharacteristic, complemented
131#11718718C2211yescharacteristic, complemented
132#11718718C2211yescharacteristic, complemented
133#11718718C2211yescharacteristic, complemented
134#11718718C2211yescharacteristic, complemented
135#11718718C2211yescharacteristic, complemented
136#11718717C2211yescharacteristic, complemented
137#11718716C2211yescharacteristic, complemented
138#11718715C2211yescharacteristic, complemented
139#11718715C2211yescharacteristic, complemented
140#11718715C2211yescharacteristic, complemented
141#11718713C2211yescharacteristic, complemented
142#11718710C2211yescharacteristic, complemented
143#11718709C2211yescharacteristic, complemented
144#11718709C2211yescharacteristic, complemented
145#11718708C2211yescharacteristic, complemented
146#11718707C2211yescharacteristic, complemented
147#11718706C2211yescharacteristic, complemented
148#11718704C2211yescharacteristic, complemented
149#11718703C2211yescharacteristic, complemented
150#11718703C2211yescharacteristic, complemented
151#11718702C2211yescharacteristic, complemented
152#11718700C2211yescharacteristic
153#11718700C2211yescharacteristic
154#11718700C2211yescharacteristic, complemented
155#11718700C2211yescharacteristic, complemented
156#11718699C2211yescharacteristic, complemented
157#11718698C2211yescharacteristic
158#11718697C2211yescharacteristic
159#11718697C2211yescharacteristic
160#11718697C2211yescharacteristic, complemented
161#11718696C2211yescharacteristic, complemented
162#11718695C2211yescharacteristic, complemented
163#11718695C2211yescharacteristic, complemented
164#11718695C2211yescharacteristic, complemented
165#11718691C2211yescharacteristic, complemented
166#11718689C2211yescharacteristic, complemented
167#11718688C2211yescharacteristic, complemented
168#11718687C2211yescharacteristic, complemented
169C4×#6106C2211yescharacteristic, complemented
170C4×#6106C2211yescharacteristic, complemented
171#11718685C2211yescharacteristic, complemented
172#11718685C2211yescharacteristic, complemented
173#11718683C2211yescharacteristic, complemented
174#11718681C2211yescharacteristic, complemented
175C4×#6105C2211yescharacteristic, complemented
176#11718677C2211yescharacteristic, complemented
177#11718677C2211yescharacteristic, complemented
178#11718677C2211yescharacteristic, complemented
179#11718676C2211yescharacteristic, complemented
180#11718675C2211yescharacteristic
181#11718675C2211yescharacteristic, complemented
182#11718675C2211yescharacteristic, complemented
183#11718675C2211yescharacteristic, complemented
184#11718675C2211yescharacteristic, complemented
185#11718675C2211yescharacteristic, complemented
186C4×#6104C2211yescharacteristic, complemented
187#11718673C2211yescharacteristic, complemented
188#11718673C2211yescharacteristic, complemented
189#11718672C2211yescharacteristic, complemented
190#11718672C2211yescharacteristic, complemented
191#11718672C2211yescharacteristic, complemented
192#11718672C2211yescharacteristic, complemented
193#11718670C2211yescharacteristic, complemented
194#11718670C2211yescharacteristic, complemented
195#11718670C2211yescharacteristic, complemented
196#11718669C2211yescharacteristic, complemented
197#11718661C2211yescharacteristic, complemented
198#11718661C2211yescharacteristic, complemented
199#11718660C2211yescharacteristic, complemented
200#11718660C2211yescharacteristic, complemented
201#11718587C2211yescharacteristic, complemented
202#11718585C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204C2×C13×#41—21no—
205C2×C13×#41C2311yescharacteristic
206C2×C13×#41C2311yescharacteristic
207C2×C13×#41C2311yescharacteristic
208C2×C13×#41C2311yescharacteristic
209C22×D4×C13—21no—
210C22×D4×C13C2311yescharacteristic
211C22×D4×C13C2311yescharacteristic
212C2×#6129—21no—
213C2×D4×D13—21no—
214C2×#6127C2311yescharacteristic
215C22×D52C2311yescharacteristic
216C22×D52C2311yescharacteristic
217C22×C4×D13—21no—
218C13×C4⋊Q8C2311yescharacteristic
219C13×C4⋊Q8C2311yescharacteristic
220C13×#127—21no—
221C13×#127—21no—
222C13×#127C2311yescharacteristic
223C13×#127C2311yescharacteristic
224C13×#127C2311yescharacteristic
225C13×#127C2311yescharacteristic
226C13×#126—21no—
227C13×#126—21no—
228C13×#126—21no—
229C13×#126—21no—
230C13×#126D411yescharacteristic
231C13×#126D411yescharacteristic
232C13×#125D411yescharacteristic
233C13×#124—21no—
234C13×#124—21no—
235C13×#124—21no—
236C13×#124D411yescharacteristic
237C13×#124C2311yescharacteristic
238C13×#124C2311yescharacteristic
239C13×#124C2311yescharacteristic
240C13×#124C2311yescharacteristic
241C13×#123—21no—
242C13×#123—21no—
243C13×#123—21no—
244C13×#123—21no—
245C13×#123—21no—
246C13×#123—21no—
247C13×#123D411yescharacteristic
248C13×#123D411yescharacteristic
249C13×C22⋊Q8—21no—
250C13×C22⋊Q8—21no—
251C13×C22⋊Q8—21no—
252C13×C22⋊Q8D411yescharacteristic
253C13×C22⋊Q8C2311yescharacteristic
254C13×C22⋊Q8C2311yescharacteristic
255C13×#121—21no—
256C13×#121—21no—
257C13×#121—21no—
258C13×#121—21no—
259C13×#121—21no—
260C13×#121—21no—
261C13×#121—21no—
262C13×#121—21no—
263C13×#121—21no—
264C13×#121—21no—
265C13×#121—21no—
266C13×#121—21no—
267C13×#121—21no—
268C13×#121—21no—
269C13×#121—21no—
270C13×#121—21no—
271C13×#121—21no—
272C13×#121—21no—
273C13×#121D411yescharacteristic
274C13×#121C2311yescharacteristic
275C13×#121C2311yescharacteristic
276C13×#121C2311yescharacteristic
277C13×#121C2311yescharacteristic
278C13×#120—21no—
279C13×#120—21no—
280C13×#120—21no—
281C13×#120—21no—
282C13×#120—21no—
283C13×#120—21no—
284C13×#120—21no—
285C13×#120—21no—
286C4×Q8×C13C2311yescharacteristic
287C4×Q8×C13C2311yescharacteristic
288C4×Q8×C13C2311yescharacteristic
289C4×D4×C13—21no—
290C4×D4×C13—21no—
291C4×D4×C13—21no—
292C4×D4×C13—21no—
293C4×D4×C13—21no—
294C4×D4×C13C2311yescharacteristic
295C4×D4×C13C2311yescharacteristic
296C4×D4×C13C2311yescharacteristic
297C4×D4×C13C2311yescharacteristic
298C4×D4×C13C2311yescharacteristic
299C4×D4×C13C2311yescharacteristic
300C4×D4×C13C2311yescharacteristic
301C13×#117—21no—
302C13×#117C2311yescharacteristic
303C13×#117C2311yescharacteristic
304C2×C13×C4⋊C4—21no—
305C2×C13×C22⋊C4—21no—
306C2×C13×C22⋊C4—21no—
307C2×C42×C13C2311yescharacteristic
308#88204—42no—
309#88203—42no—
310#88203—42no—
311#88203—42no—
312#88201—21no—
313#88200—21no—
314C2×#6107C2311yescharacteristic
315C2×#6107C2311yescharacteristic
316C2×#6106C2311yescharacteristic
317C2×#6106C2311yescharacteristic
318C2×#6106C2311yescharacteristic
319C2×#6106C2311yescharacteristic
320C2×#6106C2311yescharacteristic
321C2×#6106C2311yescharacteristic
322#88193—21no—
323#88191—21no—
324#88191—21no—
325#88189—21no—
326C2×#6105C2311yescharacteristic
327C2×#6105C2311yescharacteristic
328C2×#6105C2311yescharacteristic
329C2×#6105C2311yescharacteristic
330#88186—42no—
331C2×#6104—42no—
332C2×#6104C2311yescharacteristic
333C2×#6104C2311yescharacteristic
334C2×#6104C2311yescharacteristic
335C2×#6104C2311yescharacteristic
336C2×#6104C2311yescharacteristic
337C2×#6104C2311yescharacteristic
338C2×#6104C2311yescharacteristic
339C2×#6104C2311yescharacteristic
340C2×#6104C2311yescharacteristic
341C2×#6104C2311yescharacteristic
342C2×#6104C2311yescharacteristic
343C2×#6104C2311yescharacteristic
344#88184C2311yescharacteristic
345#88184C2311yescharacteristic
346#88184C2311yescharacteristic
347#88184C2311yescharacteristic
348#88183—21no—
349C4×C22⋊D13—21no—
350C2×#6103—21no—
351#88180C2311yescharacteristic
352C2×C4⋊Dic13C2311yescharacteristic
353C2×C4⋊Dic13C2311yescharacteristic
354#88178C2311yescharacteristic
355#88178C2311yescharacteristic
356C2×#6099C2311yescharacteristic
357C2×#6099C2311yescharacteristic
358C2×#6099C2311yescharacteristic
359C2×#6099C2311yescharacteristic
360C22×#1055C2311yescharacteristic
361C22×#1055C2311yescharacteristic
362#88152—21no—
363#88152—21no—
364#88151—21no—
365#88150—21no—
366#88150—21no—
367#88150—21no—
368#88149—21no—
369#88148—21no—
370#88148—21no—
371#88148—21no—
372#88148—21no—
373#88148—21no—
374#88148—21no—
375#88147—21no—
376#88147—21no—
377#88147—21no—
378#88146—21no—
379C4⋊C4×D13—21no—
380C4⋊C4×D13—21no—
381#88143—21no—
382#88140—21no—
383#88140—21no—
384#88139—21no—
385#88138—21no—
386#88138—21no—
387#88138—21no—
388#88138—21no—
389#88137—21no—
390#88137—21no—
391#88136—21no—
392#88136—21no—
393#88135—21no—
394#88135—21no—
395#88135—21no—
396C22⋊C4×D13—21no—
397C22⋊C4×D13—21no—
398C22⋊C4×D13—21no—
399C22⋊C4×D13—21no—
400#88133—21no—
401#88131—21no—
402#88130—21no—
403#88129C2311yescharacteristic
404#88129C2311yescharacteristic
405#88128C2311yescharacteristic
406C4×D52—21no—
407C4×D52—21no—
408C4×D52C2311yescharacteristic
409C4×D52C2311yescharacteristic
410C4×D52C2311yescharacteristic
411C4×D52C2311yescharacteristic
412C4×D52C2311yescharacteristic
413C4×D52C2311yescharacteristic
414C4×D52C2311yescharacteristic
415C4×D52C2311yescharacteristic
416#88126—21no—
417#88124C2311yescharacteristic
418#88124C2311yescharacteristic
419#88123C2311yescharacteristic
420C4×Dic26C2311yescharacteristic
421C4×Dic26C2311yescharacteristic
422#88075C2311yescharacteristic
423#88075C2311yescharacteristic
424#88075C2311yescharacteristic
425#88075C2311yescharacteristic
426#88075C2311yescharacteristic
427#88075C2311yescharacteristic
428#88075C2311yescharacteristic
429#88075C2311yescharacteristic
430#88072C2311yescharacteristic
431#88072C2311yescharacteristic
432#88072C2311yescharacteristic
433#88072C2311yescharacteristic
434#88072C2311yescharacteristic
435#88072C2311yescharacteristic
436#88072C2311yescharacteristic
437#88072C2311yescharacteristic
438#88072C2311yescharacteristic
439#88072C2311yescharacteristic
440#88072C2311yescharacteristic
441#88072C2311yescharacteristic
442#88072C2311yescharacteristic
443#88072C2311yescharacteristic
444#88072C2311yescharacteristic
445#88072C2311yescharacteristic
446C22⋊#1055C2311yescharacteristic
447C22⋊#1055C2311yescharacteristic
448C22⋊#1055C2311yescharacteristic
449C22⋊#1055C2311yescharacteristic
450C22⋊#1055C2311yescharacteristic
451C22⋊#1055C2311yescharacteristic
452#88050C2311yescharacteristic
453#88050C2311yescharacteristic
454#88049C2311yescharacteristic
455#88049C2311yescharacteristic
456#88049C2311yescharacteristic
457#88049C2311yescharacteristic
458#88049C2311yescharacteristic
459#88049C2311yescharacteristic
460#88048C2311yescharacteristic
461#88048C2311yescharacteristic
462#88048C2311yescharacteristic
463#88048C2311yescharacteristic
464#88048C2311yescharacteristic
465#88048C2311yescharacteristic
466#88047C2311yescharacteristic
467#88047C2311yescharacteristic
468C4⋊#1055C2311yescharacteristic
469C4⋊#1055C2311yescharacteristic
470C4⋊#1055C2311yescharacteristic
471C4⋊#1055C2311yescharacteristic
472C4⋊#1055C2311yescharacteristic
473C4⋊#1055C2311yescharacteristic
474C4⋊#1055C2311yescharacteristic
475C4⋊#1055C2311yescharacteristic
476C4⋊#1055C2311yescharacteristic
477C4⋊#1055C2311yescharacteristic
478#88043C2311yescharacteristic
479#88043C2311yescharacteristic
480#88043C2311yescharacteristic
481#88043C2311yescharacteristic
482C4×#1055C2311yescharacteristic
483C4×#1055C2311yescharacteristic
484#62083—131nomaximal, Sylow
485C24×C13—21no—
486C24×C13—21no—
487C23×D13—21no—
488C23×D13—21no—
489C13×#41—41no—
490C13×#41—41no—
491C13×#41—41no—
492C13×#41—41no—
493C13×#41—41no—
494C13×#41—41no—
495C13×#41—41no—
496C13×#41—41no—
497C13×#41—82no—
498C13×#41—82no—
499C2×Q8×C13—21no—
500C2×Q8×C13C2×D411yescharacteristic
501C2×Q8×C13C2411yescharacteristic
502C2×Q8×C13C2411yescharacteristic
503C2×D4×C13—21no—
504C2×D4×C13—21no—
505C2×D4×C13—21no—
506C2×D4×C13—21no—
507C2×D4×C13—21no—
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13—21no—
511C2×D4×C13—21no—
512C2×D4×C13—21no—
513C2×D4×C13—21no—
514C2×D4×C13—21no—
515C2×D4×C13—21no—
516C2×D4×C13—21no—
517C2×D4×C13—21no—
518C2×D4×C13—21no—
519C2×D4×C13—21no—
520C2×D4×C13—21no—
521C2×D4×C13—41no—
522C2×D4×C13—41no—
523C2×D4×C13—41no—
524C2×D4×C13—41no—
525C2×D4×C13—82no—
526C2×D4×C13C2×D411yescharacteristic
527C2×D4×C13C2×D411yescharacteristic
528C2×D4×C13C2×D411yescharacteristic
529C2×D4×C13C2411yescharacteristic
530C2×D4×C13C2411yescharacteristic
531C2×D4×C13C2411yescharacteristic
532C2×D4×C13C2411yescharacteristic
533C22×C4×C13—21no—
534C22×C4×C13—21no—
535C22×C4×C13—21no—
536C22×C4×C13—21no—
537C22×C4×C13—21no—
538C22×C4×C13—21no—
539C22×C4×C13—21no—
540C22×C4×C13—21no—
541C22×C4×C13C2×D411yescharacteristic
542C22×C4×C13C2×D411yescharacteristic
543C22×C4×C13C2411yescharacteristic
544C22×C4×C13C2411yescharacteristic
545C22×C4×C13C2411yescharacteristic
546C2×C22⋊D13—21no—
547C2×C22⋊D13—21no—
548C2×C22⋊D13—21no—
549C2×C22⋊D13—21no—
550C2×C22⋊D13—21no—
551C22×Dic13—21no—
552C22×Dic13—21no—
553#6129—82no—
554D4×D13—82no—
555#6127—22no—
556#6127—41no—
557C2×D52—22no—
558C2×D52—22no—
559C2×D52—21no—
560C2×D52—21no—
561C2×D52—21no—
562C2×D52—21no—
563C2×D52—41no—
564C2×D52—41no—
565C2×D52C2411yescharacteristic
566C2×D52C2411yescharacteristic
567C2×D52C2411yescharacteristic
568C2×C4×D13—21no—
569C2×C4×D13—21no—
570C2×C4×D13—21no—
571C2×C4×D13—21no—
572C2×C4×D13—21no—
573C2×C4×D13—21no—
574C2×C4×D13—21no—
575C2×C4×D13—21no—
576C2×C4×D13—21no—
577C2×C4×D13—82no—
578C2×Dic26—21no—
579C2×Dic26C2411yescharacteristic
580C13×C4⋊C4—21no—
581C13×C4⋊C4—21no—
582C13×C4⋊C4—21no—
583C13×C4⋊C4—21no—
584C13×C4⋊C4—21no—
585C13×C4⋊C4—21no—
586C13×C4⋊C4—21no—
587C13×C4⋊C4C2×D411yescharacteristic
588C13×C4⋊C4C2×D411yescharacteristic
589C13×C4⋊C4C2×D411yescharacteristic
590C13×C4⋊C4C2×D411yescharacteristic
591C13×C4⋊C4C2×D411yescharacteristic
592C13×C4⋊C4C2×D411yescharacteristic
593C13×C4⋊C4C2×D411yescharacteristic
594C13×C4⋊C4C2×D411yescharacteristic
595C13×C4⋊C4C2×D411yescharacteristic
596C13×C4⋊C4C2×D411yescharacteristic
597C13×C4⋊C4C2411yescharacteristic
598C13×C4⋊C4C2411yescharacteristic
599C13×C22⋊C4—21no—
600C13×C22⋊C4—21no—
601C13×C22⋊C4—21no—
602C13×C22⋊C4—21no—
603C13×C22⋊C4—21no—
604C13×C22⋊C4—21no—
605C13×C22⋊C4—21no—
606C13×C22⋊C4—21no—
607C13×C22⋊C4—21no—
608C13×C22⋊C4—21no—
609C13×C22⋊C4—21no—
610C13×C22⋊C4—21no—
611C13×C22⋊C4—21no—
612C13×C22⋊C4—21no—
613C13×C22⋊C4—21no—
614C13×C22⋊C4—21no—
615C13×C22⋊C4—21no—
616C13×C22⋊C4—21no—
617C13×C22⋊C4C2×D411yescharacteristic
618C13×C22⋊C4C2×D411yescharacteristic
619C13×C22⋊C4C2×D411yescharacteristic
620C13×C22⋊C4C2×D411yescharacteristic
621C13×C22⋊C4C2×D411yescharacteristic
622C13×C22⋊C4C2×D411yescharacteristic
623C13×C22⋊C4C2×D411yescharacteristic
624C13×C22⋊C4C2×D411yescharacteristic
625C13×C22⋊C4C2×D411yescharacteristic
626C13×C22⋊C4C2×D411yescharacteristic
627C42×C13—21no—
628C42×C13—21no—
629C42×C13C2×D411yescharacteristic
630C42×C13C2×D411yescharacteristic
631C42×C13C2411yescharacteristic
632C42×C13C2411yescharacteristic
633C42×C13C2411yescharacteristic
634C42×C13C2411yescharacteristic
635C22⋊Dic13—21no—
636C22⋊Dic13—21no—
637C22⋊Dic13—21no—
638#6107—41no—
639#6107—41no—
640#6106—22no—
641#6106—22no—
642#6106—41no—
643#6106—41no—
644#6106—41no—
645#6106—41no—
646#6105—41no—
647#6105—41no—
648#6105—41no—
649#6105—41no—
650#6104—22no—
651#6104—22no—
652#6104—22no—
653#6104—22no—
654#6104—41no—
655#6104—41no—
656#6104—41no—
657#6104—41no—
658#6104—41no—
659#6104—41no—
660#6104—41no—
661#6104—41no—
662#6103—21no—
663#6103—21no—
664#6103—21no—
665#6103—21no—
666#6103—21no—
667#6103—21no—
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—
678C4⋊Dic13—21no—
679C4⋊Dic13—21no—
680C4⋊Dic13—21no—
681C4⋊Dic13C2411yescharacteristic
682C4⋊Dic13C2411yescharacteristic
683C4⋊Dic13C2411yescharacteristic
684C4⋊Dic13C2411yescharacteristic
685#6101—21no—
686#6101—21no—
687#6101—21no—
688#6101—21no—
689#6101—21no—
690#6101—21no—
691#6101—21no—
692#6101—21no—
693C4×Dic13—21no—
694C4×Dic13—21no—
695C4×Dic13—21no—
696#6099—41no—
697#6099—41no—
698#6099—41no—
699#6099—41no—
700C2×#1055—41no—
701C2×#1055—41no—
702C2×#1055C2411yescharacteristic
703C2×#1055C2411yescharacteristic
704C2×#1055C2411yescharacteristic
705C2×#1055C2411yescharacteristic
706C2×#1055C2411yescharacteristic
707C2×#1055C2411yescharacteristic
708C2×#1055C2411yescharacteristic
709C2×#1055C2411yescharacteristic
710#3546D1311yescharacteristic, complemented
711#3513—131no—
712#3401—131no—
713#3399—131no—
714#3376—131no—
715#3366—131no—
716#3332—131no—
717#3323—131no—
718#3318—131no—
719#3317—131no—
720#3307—131no—
721#3306—131no—
722#3274—131no—
723#3273—131no—
724#3268—131no—
725#3267—131no—
726#3264—131no—
727#3264—131no—
728#3263—131no—
729#3257—131no—
730#3251—131no—
731#3224—131no—
732#3220—131no—
733#3219—131no—
734#3125—131no—
735#3118—131no—
736#3109—131no—
737#3045—131no—
738#3041—131no—
739#3036—131no—
740#2995—131no—
741C23×C13—21no—
742C23×C13—21no—
743C23×C13—21no—
744C23×C13—21no—
745C23×C13—81no—
746C23×C13—81no—
747C23×C13—81no—
748C23×C13—81no—
749C23×C13—81no—
750C23×C13—81no—
751C23×C13C22×D411yescharacteristic
752C23×C13C22×D411yescharacteristic
753C23×C13C22×D411yescharacteristic
754C22×D13—21no—
755C22×D13—21no—
756C22×D13—21no—
757C22×D13—42no—
758C22×D13—42no—
759C22×D13—42no—
760C22×D13—81no—
761C22×D13—81no—
762C22×D13—81no—
763Q8×C13—21no—
764Q8×C13—21no—
765Q8×C13—21no—
766Q8×C13—21no—
767Q8×C13—41no—
768Q8×C13—81no—
769D4×C13—21no—
770D4×C13—21no—
771D4×C13—21no—
772D4×C13—21no—
773D4×C13—21no—
774D4×C13—21no—
775D4×C13—21no—
776D4×C13—21no—
777D4×C13—41no—
778D4×C13—41no—
779D4×C13—41no—
780D4×C13—42no—
781D4×C13—81no—
782D4×C13—81no—
783D4×C13—81no—
784D4×C13—81no—
785D4×C13—81no—
786D4×C13—81no—
787D4×C13—81no—
788D4×C13—81no—
789D4×C13—81no—
790D4×C13—81no—
791D4×C13—81no—
792D4×C13—81no—
793D4×C13—81no—
794D4×C13—81no—
795D4×C13—81no—
796D4×C13—81no—
797D4×C13—81no—
798C2×C4×C13—21no—
799C2×C4×C13—21no—
800C2×C4×C13—21no—
801C2×C4×C13—21no—
802C2×C4×C13—21no—
803C2×C4×C13—21no—
804C2×C4×C13—21no—
805C2×C4×C13—21no—
806C2×C4×C13—21no—
807C2×C4×C13—21no—
808C2×C4×C13—41no—
809C2×C4×C13—41no—
810C2×C4×C13—42no—
811C2×C4×C13—42no—
812C2×C4×C13—81no—
813C2×C4×C13—81no—
814C2×C4×C13—81no—
815C2×C4×C13—81no—
816C2×C4×C13—81no—
817C2×C4×C13—81no—
818C2×C4×C13C22×D411yescharacteristic
819C2×C4×C13C22×D411yescharacteristic
820C2×C4×C13C22×D411yescharacteristic
821C2×C4×C13C22×D411yescharacteristic
822C2×C4×C13C22×D411yescharacteristic
823C2×C4×C13C22×D411yescharacteristic
824C2×C4×C13C22×D411yescharacteristic
825C2×C4×C13C22×D411yescharacteristic
826C2×C4×C13C22×D411yescharacteristic
827C2×C4×C13C22×D411yescharacteristic
828C2×C4×C13C22×D411yescharacteristic
829C2×C4×C13C2511yescharacteristic
830C22⋊D13—42no—
831C22⋊D13—42no—
832C22⋊D13—81no—
833C22⋊D13—81no—
834C22⋊D13—81no—
835C2×Dic13—21no—
836C2×Dic13—21no—
837C2×Dic13—21no—
838C2×Dic13—21no—
839C2×Dic13—21no—
840C2×Dic13—42no—
841C2×Dic13—81no—
842D52—21no—
843D52—21no—
844D52—21no—
845D52—21no—
846D52—21no—
847D52—42no—
848D52—42no—
849D52—81no—
850D52—81no—
851D52H(5,𝔽2)12yes—
852C4×D13—42no—
853C4×D13—81no—
854C4×D13—81no—
855C4×D13—81no—
856C4×D13—81no—
857C4×D13—81no—
858C4×D13—81no—
859C4×D13—81no—
860C4×D13—81no—
861Dic26—21no—
862Dic26—21no—
863Dic26—81no—
864#1055—21no—
865#1055—21no—
866#1055—21no—
867#1055—21no—
868#1055—21no—
869#1055—21no—
870#1055—21no—
871#1055—21no—
872C2×AGL(1,ℤ/8)—131no—
873C2×AGL(1,ℤ/8)—131no—
874C2×AGL(1,ℤ/8)—131no—
875C2×AGL(1,ℤ/8)—131no—
876C2×#135—131no—
877C22×D8—131no—
878#560—21no—
879#560—21no—
880#559—131no—
881#556C2×D1311yescharacteristic, complemented
882#554—131no—
883#553—21no—
884#553—131no—
885#553—261no—
886#552—131no—
887#551—261no—
888#551—261no—
889#550C2×D1311yescharacteristic
890#550C2×D1311yescharacteristic, complemented
891#550C2×D1311yescharacteristic, complemented
892#547—131no—
893#547C2×D1311yescharacteristic, complemented
894#546—21no—
895#546—131no—
896#546—131no—
897#546—261no—
898#546C2×D1311yescharacteristic
899#546C2×D1311yescharacteristic, complemented
900D42—131no—
901D42C2×D1311yescharacteristic, complemented
902#542—131no—
903#542C2×D1311yescharacteristic, complemented
904#542C2×D1311yescharacteristic, complemented
905#540—131no—
906#539—261no—
907#538—21no—
908#538—21no—
909#538—261no—
910#537—21no—
911#535—21no—
912#535C2×D1311yescharacteristic, complemented
913#535C2×D1311yescharacteristic, complemented
914#532C2×D1311yescharacteristic, complemented
915#532C2×D1311yescharacteristic, complemented
916#529—131no—
917#529C2×D1311yescharacteristic
918#525—261no—
919C2×#123—261no—
920#520—131no—
921#518—131no—
922C2×C4×D4—131no—
923#497—131no—
924#496—131no—
925#496—131no—
926#496—131no—
927#495—131no—
928#493—131no—
929#491—131no—
930#490—131no—
931#490—131no—
932#489—131no—
933#488—131no—
934#486—131no—
935#485—131no—
936#483—131no—
937#482—131no—
938#481—131no—
939#481—131no—
940#481—131no—
941#479—131no—
942#478—131no—
943#478—131no—
944#478—131no—
945#476—131no—
946#476—131no—
947#476—131no—
948#475—131no—
949#475—131no—
950#474—131no—
951#470—131no—
952#469—131no—
953#469—131no—
954#469—131no—
955#469—131no—
956#468—131no—
957#468—131no—
958#468—131no—
959#466—131no—
960#465—131no—
961#465—131no—
962#465—131no—
963#464—131no—
964#464—131no—
965#464—131no—
966#464—131no—
967#463—131no—
968#463—131no—
969#463—131no—
970#463—131no—
971#463—131no—
972#463—131no—
973#463—131no—
974#463—131no—
975#463—131no—
976#463—131no—
977#463—131no—
978#463—131no—
979#461—131no—
980#461—131no—
981#460—131no—
982#460—131no—
983#460—131no—
984#459—131no—
985#459—131no—
986#459—131no—
987#459—131no—
988#459—131no—
989#459—131no—
990#459—131no—
991#459—131no—
992#459—131no—
993#452—131no—
994#452—131no—
995#452—131no—
996#452—131no—
997#450—131no—
998#450—131no—
999#449—131no—
1000#449—131no—
1001#449—131no—
1002#449—131no—
1003#449—131no—
1004#449—131no—
1005#447—131no—
1006#447—131no—
1007#447—131no—
1008#447—131no—
1009#447—131no—
1010#447—131no—
1011#446—131no—
1012#446—131no—
1013#442—131no—
1014#442—131no—
1015#442—131no—
1016#442—131no—
1017#442—131no—
1018#442—131no—
1019#441—131no—
1020#440—131no—
1021C4×SD16—131no—
1022C4×SD16—131no—
1023C4×SD16—131no—
1024C4×D8—131no—
1025#436—131no—
1026#436—131no—
1027#435—131no—
1028#435—131no—
1029#435—131no—
1030#435—131no—
1031#433—131no—
1032#433—131no—
1033#432—131no—
1034#424—131no—
1035#424—131no—
1036#423—131no—
1037#418—131no—
1038#417—131no—
1039#417—131no—
1040#417—131no—
1041#416—131no—
1042C2×#102—131no—
1043C22×C13—21no—
1044C22×C13—21no—
1045C22×C13—21no—
1046C22×C13—21no—
1047C22×C13—21no—
1048C22×C13—21no—
1049C22×C13—21no—
1050C22×C13—21no—
1051C22×C13—21no—
1052C22×C13—41no—
1053C22×C13—41no—
1054C22×C13—41no—
1055C22×C13—41no—
1056C22×C13—41no—
1057C22×C13—41no—
1058C22×C13—41no—
1059C22×C13—41no—
1060C22×C13—41no—
1061C22×C13—41no—
1062C22×C13—41no—
1063C22×C13—41no—
1064C22×C13—162no—
1065C22×C13—162no—
1066C22×C13C23×D411yescharacteristic
1067C2×D13—22no—
1068C2×D13—41no—
1069C2×D13—41no—
1070C2×D13—41no—
1071C2×D13—41no—
1072C2×D13—41no—
1073C2×D13—41no—
1074C2×D13—41no—
1075C2×D13—41no—
1076C2×D13—84no—
1077C2×D13—162no—
1078C4×C13—21no—
1079C4×C13—21no—
1080C4×C13—21no—
1081C4×C13—21no—
1082C4×C13—21no—
1083C4×C13—21no—
1084C4×C13—21no—
1085C4×C13—21no—
1086C4×C13—21no—
1087C4×C13—21no—
1088C4×C13—21no—
1089C4×C13—41no—
1090C4×C13—41no—
1091C4×C13—41no—
1092C4×C13—41no—
1093C4×C13C2×H(5,𝔽2)11yescharacteristic
1094C4×C13#58511yescharacteristic
1095Dic13—41no—
1096Dic13—41no—
1097Dic13—41no—
1098Dic13—41no—
1099Dic13—41no—
1100C2×#41—21no—
1101C2×#41—21no—
1102C2×#41—131no—
1103C2×#41—261no—
1104C2×#41C22×D1311yescharacteristic
1105C2×#41C22×D1311yescharacteristic
1106C2×#41C22×D1311yescharacteristic
1107C2×#41C22×D1311yescharacteristic
1108C22×D4—21no—
1109C22×D4—131no—
1110C22×D4—131no—
1111C22×D4—261no—
1112C22×D4C22×D1311yescharacteristic
1113C22×D4C22×D1311yescharacteristic
1114C23×C4—261no—
1115AGL(1,ℤ/8)—522no—
1116AGL(1,ℤ/8)—522no—
1117AGL(1,ℤ/8)—522no—
1118AGL(1,ℤ/8)—522no—
1119#135—522no—
1120C2×Q16—131no—
1121C2×Q16—131no—
1122C2×SD16—131no—
1123C2×SD16—131no—
1124C2×SD16—131no—
1125C2×SD16—131no—
1126C2×SD16—131no—
1127C2×SD16—131no—
1128C2×SD16—131no—
1129C2×SD16—131no—
1130C2×SD16—131no—
1131C2×SD16—131no—
1132C2×D8—131no—
1133C2×D8—131no—
1134C2×D8—131no—
1135C2×D8—131no—
1136C2×D8—131no—
1137C2×D8—131no—
1138C2×D8—131no—
1139C2×D8—131no—
1140C2×D8—131no—
1141C2×D8—131no—
1142C2×D8—131no—
1143C2×D8—131no—
1144C2×D8—522no—
1145C2×M16—131no—
1146C2×M16—131no—
1147C2×M16—131no—
1148C2×M16—131no—
1149C22×C8—131no—
1150C22×C8—131no—
1151C4⋊Q8—131no—
1152C4⋊Q8C22×D1311yescharacteristic
1153C4⋊Q8C22×D1311yescharacteristic
1154#127—21no—
1155#127—21no—
1156#127—131no—
1157#127C22×D1311yescharacteristic
1158#127C22×D1311yescharacteristic
1159#127C22×D1311yescharacteristic
1160#127C22×D1311yescharacteristic
1161#126—21no—
1162#126—21no—
1163#126—21no—
1164#126—21no—
1165#126—261no—
1166#126—261no—
1167#126—261no—
1168#126—261no—
1169#126C22⋊D1311yescharacteristic
1170#126C22⋊D1311yescharacteristic
1171#125—131no—
1172#125—131no—
1173#125—261no—
1174#125C22⋊D1311yescharacteristic
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124—131no—
1179#124—131no—
1180#124—261no—
1181#124—261no—
1182#124C22⋊D1311yescharacteristic
1183#124C22×D1311yescharacteristic
1184#124C22×D1311yescharacteristic
1185#124C22×D1311yescharacteristic
1186#124C22×D1311yescharacteristic
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—261no—
1194#123—261no—
1195#123—261no—
1196#123—261no—
1197#123—261no—
1198#123—261no—
1199#123—261no—
1200#123—261no—
1201#123—261no—
1202#123—261no—
1203#123—261no—
1204#123—261no—
1205#123C22⋊D1311yescharacteristic
1206#123C22⋊D1311yescharacteristic
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—131no—
1211C22⋊Q8—131no—
1212C22⋊Q8—261no—
1213C22⋊Q8—261no—
1214C22⋊Q8—261no—
1215C22⋊Q8—261no—
1216C22⋊Q8—261no—
1217C22⋊Q8C22⋊D1311yescharacteristic
1218C22⋊Q8C22×D1311yescharacteristic
1219C22⋊Q8C22×D1311yescharacteristic
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—131no—
1239#121—131no—
1240#121—131no—
1241#121—131no—
1242#121—261no—
1243#121—261no—
1244#121—261no—
1245#121—261no—
1246#121—261no—
1247#121—261no—
1248#121C22⋊D1311yescharacteristic
1249#121C22×D1311yescharacteristic
1250#121C22×D1311yescharacteristic
1251#121C22×D1311yescharacteristic
1252#121C22×D1311yescharacteristic
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258#120—21no—
1259#120—21no—
1260#120—21no—
1261#120—261no—
1262#120—261no—
1263#120—261no—
1264#120—261no—
1265C4×Q8—131no—
1266C4×Q8—131no—
1267C4×Q8C22×D1311yescharacteristic
1268C4×Q8C22×D1311yescharacteristic
1269C4×Q8C22×D1311yescharacteristic
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—131no—
1276C4×D4—131no—
1277C4×D4—131no—
1278C4×D4—131no—
1279C4×D4—131no—
1280C4×D4—131no—
1281C4×D4—131no—
1282C4×D4—131no—
1283C4×D4—261no—
1284C4×D4—261no—
1285C4×D4—261no—
1286C4×D4—261no—
1287C4×D4—261no—
1288C4×D4—261no—
1289C4×D4—261no—
1290C4×D4—261no—
1291C4×D4—261no—
1292C4×D4C22×D1311yescharacteristic
1293C4×D4C22×D1311yescharacteristic
1294C4×D4C22×D1311yescharacteristic
1295C4×D4C22×D1311yescharacteristic
1296C4×D4C22×D1311yescharacteristic
1297C4×D4C22×D1311yescharacteristic
1298C4×D4C22×D1311yescharacteristic
1299#117—21no—
1300#117—131no—
1301#117—261no—
1302#117—261no—
1303#117—261no—
1304#117C22×D1311yescharacteristic
1305#117C22×D1311yescharacteristic
1306C2×C4⋊C4—21no—
1307C2×C4⋊C4—131no—
1308C2×C4⋊C4—131no—
1309C2×C4⋊C4—261no—
1310C2×C4⋊C4—261no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—261no—
1314C2×C22⋊C4—261no—
1315C2×C22⋊C4—261no—
1316C2×C22⋊C4—261no—
1317C2×C22⋊C4—261no—
1318C2×C42C22×D1311yescharacteristic
1319#107—131no—
1320#107—131no—
1321#106—131no—
1322#106—131no—
1323#106—131no—
1324#106—131no—
1325#106—131no—
1326#106—131no—
1327C4⋊C8—131no—
1328C4⋊C8—131no—
1329C4⋊C8—131no—
1330C4⋊C8—131no—
1331C4⋊C8—131no—
1332C4⋊C8—131no—
1333C4⋊C8—131no—
1334C4⋊C8—131no—
1335C4⋊C8—131no—
1336C4⋊C8—131no—
1337#103—131no—
1338#103—131no—
1339#103—131no—
1340#103—131no—
1341#103—131no—
1342#103—131no—
1343#103—131no—
1344#103—131no—
1345#103—131no—
1346#103—131no—
1347#102—131no—
1348#102—131no—
1349#102—131no—
1350#102—131no—
1351#102—131no—
1352#102—131no—
1353#102—131no—
1354#102—131no—
1355#102—131no—
1356#102—131no—
1357#102—131no—
1358#102—131no—
1359#102—131no—
1360#102—131no—
1361#102—131no—
1362#102—131no—
1363#102—131no—
1364#102—131no—
1365#102—131no—
1366#102—131no—
1367#102—131no—
1368#102—131no—
1369C22⋊C8—131no—
1370C22⋊C8—131no—
1371C22⋊C8—131no—
1372C22⋊C8—131no—
1373C22⋊C8—131no—
1374C22⋊C8—131no—
1375#97—131no—
1376#97—131no—
1377#97—131no—
1378#97—131no—
1379C4×C8—131no—
1380C4×C8—131no—
1381C2×C13—41no—
1382C2×C13—41no—
1383C2×C13—41no—
1384C2×C13—81no—
1385C2×C13—81no—
1386C2×C13—81no—
1387C2×C13—81no—
1388C2×C13#348811yescharacteristic
1389C2×C13#358511yescharacteristic
1390C2×C13#358511yescharacteristic
1391D13—42no—
1392D13—81no—
1393D13—81no—
1394C24—21no—
1395C24—21no—
1396C24—261no—
1397C24—261no—
1398#41—41no—
1399#41—41no—
1400#41—41no—
1401#41—41no—
1402#41—41no—
1403#41—41no—
1404#41—41no—
1405#41—41no—
1406#41—82no—
1407#41—82no—
1408#41—262no—
1409#41—521no—
1410#41—1042no—
1411C2×Q8—21no—
1412C2×Q8—131no—
1413C2×Q8—261no—
1414C2×Q8C2×C22⋊D1311yescharacteristic
1415C2×Q8C23×D1311yescharacteristic
1416C2×Q8C23×D1311yescharacteristic
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—41no—
1436C2×D4—41no—
1437C2×D4—41no—
1438C2×D4—41no—
1439C2×D4—82no—
1440C2×D4—131no—
1441C2×D4—131no—
1442C2×D4—131no—
1443C2×D4—262no—
1444C2×D4—262no—
1445C2×D4—261no—
1446C2×D4—261no—
1447C2×D4—261no—
1448C2×D4—261no—
1449C2×D4—261no—
1450C2×D4—261no—
1451C2×D4—261no—
1452C2×D4—261no—
1453C2×D4—261no—
1454C2×D4—521no—
1455C2×D4—521no—
1456C2×D4—1042no—
1457C2×D4C2×C22⋊D1311yescharacteristic
1458C2×D4C2×C22⋊D1311yescharacteristic
1459C2×D4C2×C22⋊D1311yescharacteristic
1460C2×D4C23×D1311yescharacteristic
1461C2×D4C23×D1311yescharacteristic
1462C2×D4C23×D1311yescharacteristic
1463C2×D4C23×D1311yescharacteristic
1464C22×C4—21no—
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—261no—
1473C22×C4—261no—
1474C22×C4—261no—
1475C22×C4—261no—
1476C22×C4—261no—
1477C22×C4—261no—
1478C22×C4—261no—
1479C22×C4—261no—
1480C22×C4—261no—
1481C22×C4—261no—
1482C22×C4—261no—
1483C22×C4—1042no—
1484C22×C4C2×C22⋊D1311yescharacteristic
1485C22×C4C2×C22⋊D1311yescharacteristic
1486C22×C4C23×D1311yescharacteristic
1487C22×C4C23×D1311yescharacteristic
1488C22×C4C23×D1311yescharacteristic
1489Q16—521no—
1490Q16—521no—
1491SD16—262no—
1492SD16—262no—
1493SD16—521no—
1494SD16—521no—
1495SD16—521no—
1496SD16—521no—
1497SD16—521no—
1498SD16—521no—
1499SD16—521no—
1500SD16—521no—
1501D8—262no—
1502D8—262no—
1503D8—262no—
1504D8—262no—
1505D8—521no—
1506D8—521no—
1507D8—521no—
1508D8—521no—
1509D8—521no—
1510D8—521no—
1511D8—521no—
1512D8—521no—
1513M16—521no—
1514M16—521no—
1515M16—521no—
1516M16—521no—
1517C2×C8—131no—
1518C2×C8—131no—
1519C2×C8—131no—
1520C2×C8—131no—
1521C2×C8—131no—
1522C2×C8—131no—
1523C2×C8—131no—
1524C2×C8—131no—
1525C2×C8—521no—
1526C2×C8—521no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—131no—
1535C4⋊C4—131no—
1536C4⋊C4—131no—
1537C4⋊C4—131no—
1538C4⋊C4—261no—
1539C4⋊C4—261no—
1540C4⋊C4—261no—
1541C4⋊C4—261no—
1542C4⋊C4—261no—
1543C4⋊C4—261no—
1544C4⋊C4—261no—
1545C4⋊C4—261no—
1546C4⋊C4—261no—
1547C4⋊C4—261no—
1548C4⋊C4—261no—
1549C4⋊C4C2×C22⋊D1311yescharacteristic
1550C4⋊C4C2×C22⋊D1311yescharacteristic
1551C4⋊C4C2×C22⋊D1311yescharacteristic
1552C4⋊C4C2×C22⋊D1311yescharacteristic
1553C4⋊C4C2×C22⋊D1311yescharacteristic
1554C4⋊C4C2×C22⋊D1311yescharacteristic
1555C4⋊C4C2×C22⋊D1311yescharacteristic
1556C4⋊C4C2×C22⋊D1311yescharacteristic
1557C4⋊C4C2×C22⋊D1311yescharacteristic
1558C4⋊C4C2×C22⋊D1311yescharacteristic
1559C4⋊C4C23×D1311yescharacteristic
1560C4⋊C4C23×D1311yescharacteristic
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—261no—
1580C22⋊C4—261no—
1581C22⋊C4—261no—
1582C22⋊C4—261no—
1583C22⋊C4—261no—
1584C22⋊C4—261no—
1585C22⋊C4—261no—
1586C22⋊C4—261no—
1587C22⋊C4—261no—
1588C22⋊C4—261no—
1589C22⋊C4—261no—
1590C22⋊C4—261no—
1591C22⋊C4—261no—
1592C22⋊C4—261no—
1593C22⋊C4—261no—
1594C22⋊C4—261no—
1595C22⋊C4—261no—
1596C22⋊C4—261no—
1597C22⋊C4—261no—
1598C22⋊C4C2×C22⋊D1311yescharacteristic
1599C22⋊C4C2×C22⋊D1311yescharacteristic
1600C22⋊C4C2×C22⋊D1311yescharacteristic
1601C22⋊C4C2×C22⋊D1311yescharacteristic
1602C22⋊C4C2×C22⋊D1311yescharacteristic
1603C22⋊C4C2×C22⋊D1311yescharacteristic
1604C22⋊C4C2×C22⋊D1311yescharacteristic
1605C22⋊C4C2×C22⋊D1311yescharacteristic
1606C22⋊C4C2×C22⋊D1311yescharacteristic
1607C22⋊C4C2×C22⋊D1311yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—261no—
1611C42—261no—
1612C42—261no—
1613C42C2×C22⋊D1311yescharacteristic
1614C42C2×C22⋊D1311yescharacteristic
1615C42C23×D1311yescharacteristic
1616C42C23×D1311yescharacteristic
1617C42C23×D1311yescharacteristic
1618C42C23×D1311yescharacteristic
1619C13#6208311yescharacteristic, complemented, Sylow
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—81no—
1625C23—81no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23—261no—
1631C23—261no—
1632C23—261no—
1633C23—522no—
1634C23—522no—
1635C23—522no—
1636C23—1041no—
1637C23—1041no—
1638C23—1041no—
1639C23C22×C22⋊D1311yescharacteristic
1640C23C22×C22⋊D1311yescharacteristic
1641C23C22×C22⋊D1311yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—21no—
1646Q8—41no—
1647Q8—81no—
1648Q8—261no—
1649Q8—261no—
1650Q8—1041no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—41no—
1660D4—41no—
1661D4—41no—
1662D4—42no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—81no—
1673D4—81no—
1674D4—81no—
1675D4—81no—
1676D4—81no—
1677D4—81no—
1678D4—81no—
1679D4—81no—
1680D4—132no—
1681D4—261no—
1682D4—261no—
1683D4—261no—
1684D4—261no—
1685D4—261no—
1686D4—522no—
1687D4—522no—
1688D4—522no—
1689D4—522no—
1690D4—1041no—
1691D4—1041no—
1692D4—1041no—
1693D4—1041no—
1694D4—1041no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—81no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—81no—
1714C2×C4—81no—
1715C2×C4—261no—
1716C2×C4—261no—
1717C2×C4—261no—
1718C2×C4—261no—
1719C2×C4—261no—
1720C2×C4—522no—
1721C2×C4—522no—
1722C2×C4—1041no—
1723C2×C4—1041no—
1724C2×C4—1041no—
1725C2×C4—1041no—
1726C2×C4—1041no—
1727C2×C4—1041no—
1728C2×C4—1041no—
1729C2×C4—1041no—
1730C2×C4—1041no—
1731C2×C4C22×C22⋊D1311yescharacteristic
1732C2×C4C22×C22⋊D1311yescharacteristic
1733C2×C4C22×C22⋊D1311yescharacteristic
1734C2×C4C22×C22⋊D1311yescharacteristic
1735C2×C4C22×C22⋊D1311yescharacteristic
1736C2×C4C22×C22⋊D1311yescharacteristic
1737C2×C4C22×C22⋊D1311yescharacteristic
1738C2×C4C22×C22⋊D1311yescharacteristic
1739C2×C4C22×C22⋊D1311yescharacteristic
1740C2×C4C22×C22⋊D1311yescharacteristic
1741C2×C4C22×C22⋊D1311yescharacteristic
1742C2×C4C24×D1311yescharacteristic
1743C8—261no—
1744C8—261no—
1745C8—261no—
1746C8—261no—
1747C8—261no—
1748C8—261no—
1749C8—261no—
1750C8—261no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—162no—
1773C22—162no—
1774C22—262no—
1775C22—521no—
1776C22—521no—
1777C22—521no—
1778C22—521no—
1779C22—521no—
1780C22—521no—
1781C22—521no—
1782C22—521no—
1783C22—1044no—
1784C22—2082no—
1785C22C23×C22⋊D1311yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—21no—
1795C4—21no—
1796C4—21no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—521no—
1802C4—521no—
1803C4—521no—
1804C4—521no—
1805C4—521no—
1806C4D13×H(5,𝔽2)11yescharacteristic
1807C4#1171965011yescharacteristic
1808C2—41no—
1809C2—41no—
1810C2—41no—
1811C2—81no—
1812C2—81no—
1813C2—81no—
1814C2—81no—
1815C2—522no—
1816C2—1041no—
1817C2—1041no—
1818C2#1312849811yescharacteristic
1819C2#1312961511yescharacteristic
1820C2#1312961611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3546C2
socleC22×C13C23×D4
hypercenter#3546D13
hypocenterC13#62083
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #529 ◁ #3546

Complements

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

NH ≅ G/Ntype
1. #13128780C2semidirect
2. #13127902C2semidirect
3. #13127878C2semidirect
4. #13127657C2semidirect
5. #13127539C2semidirect
6. #13127163C2semidirect
7. #13127052C2semidirect
8. #13126977C2semidirect
9. #13126962C2semidirect
10. #13126812C2semidirect
11. #13126797C2semidirect
12. #13126456C2semidirect
13. #13126443C2semidirect
14. #13126377C2semidirect
15. #13126362C2semidirect
16. #13126317C2semidirect
17. #13126312C2semidirect
18. #13126301C2semidirect
19. #13126247C2semidirect
20. #13126192C2semidirect
21. #13125930C2semidirect
22. #13125886C2semidirect
23. #13125873C2semidirect
24. #13125107C2semidirect
25. #13125014C2semidirect
26. #13124923C2semidirect
27. #13124371C2semidirect
28. #13124335C2semidirect
29. #13124296C2semidirect
30. #13124006C2semidirect
31. C13×#3546C2semidirect
34. C13×#556C22semidirect
37. C13×#550C22semidirect
38. C13×#550C22semidirect
39. C13×#547C22semidirect
42. C13×#546C22semidirect
43. D42×C13C22semidirect
44. C13×#542C22semidirect
45. C13×#542C22semidirect
50. C13×#535C22semidirect
51. C13×#535C22semidirect
52. C13×#532C22semidirect
53. C13×#532C22semidirect
55. C2×#88204C22semidirect
56. C2×#88203C22semidirect
57. C2×#88203C22semidirect
58. C2×#88203C22semidirect
69. #11719290C22semidirect
70. #11719284C22semidirect
72. #11719260C22semidirect
74. #11719255C22semidirect
75. D4×D52C22semidirect
76. #11719246C22semidirect
77. #11719240C22semidirect
78. #11719239C22semidirect
79. #11719228C22semidirect
80. #11719226C22semidirect
81. #11719184C22semidirect
82. C2×C4×D52C22semidirect
83. #11718900C22semidirect
84. #11718900C22semidirect
85. #11718900C22semidirect
86. #11718899C22semidirect
87. #11718899C22semidirect
88. #11718899C22semidirect
89. #11718899C22semidirect
90. #11718899C22semidirect
91. #11718894C22semidirect
92. #11718893C22semidirect
93. #11718893C22semidirect
94. #11718893C22semidirect
95. #11718879C22semidirect
97. #11718878C22semidirect
98. #11718878C22semidirect
99. #11718876C22semidirect
100. C2×#88072C22semidirect
101. #11718755C22semidirect
102. #11718748C22semidirect
103. #11718747C22semidirect
104. #11718745C22semidirect
105. #11718745C22semidirect
106. #11718744C22semidirect
107. #11718744C22semidirect
108. #11718743C22semidirect
109. #11718736C22semidirect
110. #11718736C22semidirect
111. #11718735C22semidirect
112. #11718735C22semidirect
113. #11718734C22semidirect
116. #11718733C22semidirect
117. #11718733C22semidirect
118. #11718733C22semidirect
119. #11718733C22semidirect
120. #11718733C22semidirect
121. #11718733C22semidirect
122. #11718732C22semidirect
123. #11718732C22semidirect
124. #11718731C22semidirect
125. #11718720C22semidirect
129. #11718718C22semidirect
130. #11718718C22semidirect
131. #11718718C22semidirect
132. #11718718C22semidirect
133. #11718718C22semidirect
134. #11718718C22semidirect
135. #11718718C22semidirect
136. #11718717C22semidirect
137. #11718716C22semidirect
138. #11718715C22semidirect
139. #11718715C22semidirect
140. #11718715C22semidirect
141. #11718713C22semidirect
142. #11718710C22semidirect
143. #11718709C22semidirect
144. #11718709C22semidirect
145. #11718708C22semidirect
146. #11718707C22semidirect
147. #11718706C22semidirect
148. #11718704C22semidirect
149. #11718703C22semidirect
150. #11718703C22semidirect
151. #11718702C22semidirect
154. #11718700C22semidirect
155. #11718700C22semidirect
156. #11718699C22semidirect
160. #11718697C22semidirect
161. #11718696C22semidirect
162. #11718695C22semidirect
163. #11718695C22semidirect
164. #11718695C22semidirect
165. #11718691C22semidirect
166. #11718689C22semidirect
167. #11718688C22semidirect
168. #11718687C22semidirect
169. C4×#6106C22semidirect
170. C4×#6106C22semidirect
171. #11718685C22semidirect
172. #11718685C22semidirect
173. #11718683C22semidirect
174. #11718681C22semidirect
175. C4×#6105C22semidirect
176. #11718677C22semidirect
177. #11718677C22semidirect
178. #11718677C22semidirect
179. #11718676C22semidirect
181. #11718675C22semidirect
182. #11718675C22semidirect
183. #11718675C22semidirect
184. #11718675C22semidirect
185. #11718675C22semidirect
186. C4×#6104C22semidirect
187. #11718673C22semidirect
188. #11718673C22semidirect
189. #11718672C22semidirect
190. #11718672C22semidirect
191. #11718672C22semidirect
192. #11718672C22semidirect
193. #11718670C22semidirect
194. #11718670C22semidirect
195. #11718670C22semidirect
196. #11718669C22semidirect
197. #11718661C22semidirect
198. #11718661C22semidirect
199. #11718660C22semidirect
200. #11718660C22semidirect
201. #11718587C22semidirect
202. #11718585C22semidirect
710. #3546D13semidirect
881. #556C2×D13semidirect
890. #550C2×D13semidirect
891. #550C2×D13semidirect
893. #547C2×D13semidirect
899. #546C2×D13semidirect
901. D42C2×D13semidirect
903. #542C2×D13semidirect
904. #542C2×D13semidirect
912. #535C2×D13semidirect
913. #535C2×D13semidirect
914. #532C2×D13semidirect
915. #532C2×D13semidirect
1619. C13#62083semidirect

Maximal subgroups

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

subgroupindex
#131287802
#131279022
#131278782
#131276572
#131275392
#131271632
#131270522
#131269772
#131269622
#131268122
#131267972
#131264562
#131264432
#131263772
#131263622
#131263172
#131263122
#131263012
#131262472
#131261922
#131259302
#131258862
#131258732
#131251072
#131250142
#131249232
#131243712
#131243352
#131242962
#131240062
C13×#35462
#6208313