Finite Group Databasebeta

← #16758194

Subgroups — #16758194

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#13129210C211yesmaximal, characteristic, complemented
2#13127896C211yesmaximal, characteristic, complemented
3#13127874C211yesmaximal, characteristic, complemented
4#13127663C211yesmaximal, characteristic, complemented
5#13127543C211yesmaximal, characteristic, complemented
6#13127157C211yesmaximal, characteristic, complemented
7#13127046C211yesmaximal, characteristic, complemented
8#13126971C211yesmaximal, characteristic, complemented
9#13126956C211yesmaximal, characteristic, complemented
10#13126806C211yesmaximal, characteristic, complemented
11#13126791C211yesmaximal, characteristic, complemented
12#13126452C211yesmaximal, characteristic, complemented
13#13126443C211yesmaximal, characteristic, complemented
14#13126372C211yesmaximal, characteristic, complemented
15#13126357C211yesmaximal, characteristic, complemented
16#13126317C211yesmaximal, characteristic, complemented
17#13126312C211yesmaximal, characteristic, complemented
18#13126301C211yesmaximal, characteristic, complemented
19#13126241C211yesmaximal, characteristic, complemented
20#13126198C211yesmaximal, characteristic, complemented
21#13125924C211yesmaximal, characteristic, complemented
22#13125880C211yesmaximal, characteristic, complemented
23#13125869C211yesmaximal, characteristic, complemented
24#13125113C211yesmaximal, characteristic, complemented
25#13125020C211yesmaximal, characteristic, complemented
26#13124927C211yesmaximal, characteristic, complemented
27#13124375C211yesmaximal, characteristic, complemented
28#13124339C211yesmaximal, characteristic, complemented
29#13124300C211yesmaximal, characteristic, complemented
30#13124006C211yesmaximal, characteristic, complemented
31C13×#3513C211yesmaximal, characteristic, complemented
32C13×#559C2211yescharacteristic, complemented
33C13×#554C2211yescharacteristic, complemented
34C13×#553—21no—
35C13×#553C2211yescharacteristic
36C13×#552C2211yescharacteristic, complemented
37C13×#551—21no—
38C13×#551—21no—
39C13×#547C2211yescharacteristic, complemented
40C13×#546—21no—
41C13×#546C2211yescharacteristic
42C13×#546C2211yescharacteristic, complemented
43D42×C13C2211yescharacteristic, complemented
44C13×#542C2211yescharacteristic, complemented
45C13×#540C2211yescharacteristic, complemented
46C13×#539—21no—
47C13×#538—21no—
48C13×#529C2211yescharacteristic
49C13×#529C2211yescharacteristic, complemented
50C13×#525—21no—
51C2×C13×#123—21no—
52C13×#520C2211yescharacteristic, complemented
53C13×#518C2211yescharacteristic, complemented
54C2×C4×D4×C13C2211yescharacteristic, complemented
55C2×#88204C2211yescharacteristic, complemented
56C2×#88203C2211yescharacteristic
57C2×#88186C2211yescharacteristic, complemented
58C2×#88186C2211yescharacteristic, complemented
59C2×#88186C2211yescharacteristic, complemented
60C22×#6104C2211yescharacteristic
61#11719409—21no—
62#11719409—21no—
63#11719400—21no—
64#11719381—21no—
65#11719371—21no—
66#11719371—21no—
67#11719334—21no—
68#11719312—21no—
69#11719289C2211yescharacteristic, complemented
70#11719282C2211yescharacteristic, complemented
71#11719258C2211yescharacteristic
72#11719258C2211yescharacteristic, complemented
73#11719256C2211yescharacteristic, complemented
74#11719255C2211yescharacteristic
75#11719255C2211yescharacteristic, complemented
76D4×D52C2211yescharacteristic, complemented
77#11719239C2211yescharacteristic, complemented
78#11719239C2211yescharacteristic, complemented
79#11719230C2211yescharacteristic, complemented
80#11719230C2211yescharacteristic, complemented
81#11719182C2211yescharacteristic, complemented
82#11719182C2211yescharacteristic, complemented
83#11718900C2211yescharacteristic, complemented
84#11718899C2211yescharacteristic
85#11718879C2211yescharacteristic, complemented
86#11718878C2211yescharacteristic
87#11718878C2211yescharacteristic
88#11718878C2211yescharacteristic, complemented
89#11718755C2211yescharacteristic, complemented
90#11718750C2211yescharacteristic, complemented
91#11718749C2211yescharacteristic, complemented
92#11718745C2211yescharacteristic, complemented
93#11718736C2211yescharacteristic, complemented
94#11718735C2211yescharacteristic
95#11718734C2211yescharacteristic, complemented
96#11718733C2211yescharacteristic, complemented
97#11718730C2211yescharacteristic, complemented
98#11718729C2211yescharacteristic, complemented
99#11718728C2211yescharacteristic, complemented
100#11718728C2211yescharacteristic, complemented
101#11718727C2211yescharacteristic, complemented
102#11718727C2211yescharacteristic, complemented
103#11718727C2211yescharacteristic, complemented
104#11718724C2211yescharacteristic, complemented
105#11718721C2211yescharacteristic, complemented
106#11718720C2211yescharacteristic, complemented
107#11718719C2211yescharacteristic, complemented
108#11718719C2211yescharacteristic, complemented
109#11718718C2211yescharacteristic, complemented
110#11718718C2211yescharacteristic, complemented
111#11718718C2211yescharacteristic, complemented
112#11718715C2211yescharacteristic, complemented
113#11718713C2211yescharacteristic, complemented
114#11718710C2211yescharacteristic, complemented
115#11718710C2211yescharacteristic, complemented
116#11718709C2211yescharacteristic, complemented
117#11718708C2211yescharacteristic, complemented
118#11718708C2211yescharacteristic, complemented
119#11718708C2211yescharacteristic, complemented
120#11718707C2211yescharacteristic, complemented
121#11718703C2211yescharacteristic, complemented
122#11718702C2211yescharacteristic, complemented
123#11718702C2211yescharacteristic, complemented
124#11718700C2211yescharacteristic
125#11718700C2211yescharacteristic
126#11718700C2211yescharacteristic, complemented
127#11718700C2211yescharacteristic, complemented
128#11718699C2211yescharacteristic, complemented
129#11718698C2211yescharacteristic, complemented
130#11718698C2211yescharacteristic, complemented
131#11718698C2211yescharacteristic, complemented
132#11718698C2211yescharacteristic, complemented
133#11718698C2211yescharacteristic, complemented
134#11718697C2211yescharacteristic
135#11718697C2211yescharacteristic, complemented
136#11718697C2211yescharacteristic, complemented
137#11718691C2211yescharacteristic, complemented
138#11718689C2211yescharacteristic, complemented
139#11718689C2211yescharacteristic, complemented
140#11718689C2211yescharacteristic, complemented
141#11718688C2211yescharacteristic, complemented
142#11718688C2211yescharacteristic, complemented
143C4×#6106C2211yescharacteristic, complemented
144#11718685C2211yescharacteristic, complemented
145#11718685C2211yescharacteristic, complemented
146#11718681C2211yescharacteristic, complemented
147#11718680C2211yescharacteristic, complemented
148#11718680C2211yescharacteristic, complemented
149#11718679C2211yescharacteristic, complemented
150C4×#6105C2211yescharacteristic, complemented
151C4×#6105C2211yescharacteristic, complemented
152#11718677C2211yescharacteristic
153#11718677C2211yescharacteristic
154#11718677C2211yescharacteristic, complemented
155#11718677C2211yescharacteristic, complemented
156#11718677C2211yescharacteristic, complemented
157#11718677C2211yescharacteristic, complemented
158#11718677C2211yescharacteristic, complemented
159#11718677C2211yescharacteristic, complemented
160#11718677C2211yescharacteristic, complemented
161#11718676C2211yescharacteristic
162#11718676C2211yescharacteristic
163#11718676C2211yescharacteristic, complemented
164#11718676C2211yescharacteristic, complemented
165#11718676C2211yescharacteristic, complemented
166#11718676C2211yescharacteristic, complemented
167#11718676C2211yescharacteristic, complemented
168#11718676C2211yescharacteristic, complemented
169#11718675C2211yescharacteristic
170#11718675C2211yescharacteristic, complemented
171#11718675C2211yescharacteristic, complemented
172#11718675C2211yescharacteristic, complemented
173#11718675C2211yescharacteristic, complemented
174#11718675C2211yescharacteristic, complemented
175C4×#6104C2211yescharacteristic, complemented
176#11718673C2211yescharacteristic, complemented
177#11718673C2211yescharacteristic, complemented
178#11718672C2211yescharacteristic, complemented
179#11718672C2211yescharacteristic, complemented
180#11718672C2211yescharacteristic, complemented
181#11718672C2211yescharacteristic, complemented
182#11718669C2211yescharacteristic, complemented
183#11718669C2211yescharacteristic, complemented
184#11718668C2211yescharacteristic, complemented
185#11718664C2211yescharacteristic, complemented
186#11718663C2211yescharacteristic, complemented
187#11718662C2211yescharacteristic, complemented
188#11718661C2211yescharacteristic, complemented
189#11718661C2211yescharacteristic, complemented
190#11718660C2211yescharacteristic, complemented
191#11718660C2211yescharacteristic, complemented
192#11718657C2211yescharacteristic, complemented
193#11718632C2211yescharacteristic, complemented
194#11718629C2211yescharacteristic, complemented
195#11718629C2211yescharacteristic, complemented
196#11718629C2211yescharacteristic, complemented
197#11718627C2211yescharacteristic, complemented
198#11718627C2211yescharacteristic, complemented
199#11718627C2211yescharacteristic, complemented
200C2×#88049C2211yescharacteristic, complemented
201#11718587C2211yescharacteristic, complemented
202#11718585C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204C2×C13×#41C2311yescharacteristic
205C22×D4×C13—21no—
206C22×D4×C13C2311yescharacteristic
207C22×D4×C13C2311yescharacteristic
208C23×C4×C13—21no—
209C2×#6131—21no—
210C2×D4×D13—21no—
211C2×#6127—21no—
212C2×#6127C2311yescharacteristic
213C2×#6127C2311yescharacteristic
214C2×#6127C2311yescharacteristic
215C2×#6127C2311yescharacteristic
216C22×D52C2311yescharacteristic
217C22×D52C2311yescharacteristic
218C13×C4⋊Q8C2311yescharacteristic
219C13×#127C2311yescharacteristic
220C13×#126—21no—
221C13×#126—21no—
222C13×#126—21no—
223C13×#126—21no—
224C13×#126D411yescharacteristic
225C13×#126D411yescharacteristic
226C13×#125—21no—
227C13×#125D411yescharacteristic
228C13×#125C2311yescharacteristic
229C13×#125C2311yescharacteristic
230C13×#124—21no—
231C13×#124—21no—
232C13×#124D411yescharacteristic
233C13×#124C2311yescharacteristic
234C13×#124C2311yescharacteristic
235C13×#123—21no—
236C13×#123—21no—
237C13×#123—21no—
238C13×#123—21no—
239C13×#123—21no—
240C13×#123—21no—
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⋊Q8—21no—
253C13×C22⋊Q8—21no—
254C13×C22⋊Q8D411yescharacteristic
255C13×C22⋊Q8C2311yescharacteristic
256C13×C22⋊Q8C2311yescharacteristic
257C13×#121—21no—
258C13×#121—21no—
259C13×#121—21no—
260C13×#121—21no—
261C13×#121—21no—
262C13×#121—21no—
263C13×#121D411yescharacteristic
264C13×#121C2311yescharacteristic
265C13×#121C2311yescharacteristic
266C13×#121C2311yescharacteristic
267C13×#121C2311yescharacteristic
268C13×#120—21no—
269C13×#120—21no—
270C13×#120—21no—
271C13×#120—21no—
272C4×Q8×C13C2311yescharacteristic
273C4×Q8×C13C2311yescharacteristic
274C4×Q8×C13C2311yescharacteristic
275C4×D4×C13—21no—
276C4×D4×C13—21no—
277C4×D4×C13—21no—
278C4×D4×C13—21no—
279C4×D4×C13—21no—
280C4×D4×C13—21no—
281C4×D4×C13—21no—
282C4×D4×C13—21no—
283C4×D4×C13—21no—
284C4×D4×C13C2311yescharacteristic
285C4×D4×C13C2311yescharacteristic
286C4×D4×C13C2311yescharacteristic
287C4×D4×C13C2311yescharacteristic
288C4×D4×C13C2311yescharacteristic
289C4×D4×C13C2311yescharacteristic
290C4×D4×C13C2311yescharacteristic
291C4×D4×C13C2311yescharacteristic
292C4×D4×C13C2311yescharacteristic
293C4×D4×C13C2311yescharacteristic
294C4×D4×C13C2311yescharacteristic
295C13×#117—21no—
296C13×#117—21no—
297C13×#117—21no—
298C13×#117C2311yescharacteristic
299C13×#117C2311yescharacteristic
300C13×#117C2311yescharacteristic
301C2×C13×C4⋊C4—21no—
302C2×C13×C4⋊C4—21no—
303C2×C13×C4⋊C4C2311yescharacteristic
304C2×C13×C4⋊C4C2311yescharacteristic
305C2×C13×C22⋊C4—21no—
306C2×C13×C22⋊C4—21no—
307C2×C13×C22⋊C4—21no—
308C2×C13×C22⋊C4—21no—
309C2×C13×C22⋊C4—21no—
310C2×C42×C13C2311yescharacteristic
311#88204—42no—
312#88203—42no—
313#88200—21no—
314C2×#6107C2311yescharacteristic
315C2×#6107C2311yescharacteristic
316C2×#6106C2311yescharacteristic
317C2×#6106C2311yescharacteristic
318C2×#6106C2311yescharacteristic
319C2×#6106C2311yescharacteristic
320#88194—21no—
321#88194—21no—
322#88192—21no—
323#88191—21no—
324#88191—21no—
325C2×#6105C2311yescharacteristic
326C2×#6105C2311yescharacteristic
327C2×#6105C2311yescharacteristic
328C2×#6105C2311yescharacteristic
329C2×#6105C2311yescharacteristic
330C2×#6105C2311yescharacteristic
331#88186—42no—
332#88186—42no—
333#88186—42no—
334C2×#6104—42no—
335C2×#6104C2311yescharacteristic
336C2×#6104C2311yescharacteristic
337C2×#6104C2311yescharacteristic
338C2×#6104C2311yescharacteristic
339C2×#6104C2311yescharacteristic
340C2×#6104C2311yescharacteristic
341C2×#6104C2311yescharacteristic
342C2×#6104C2311yescharacteristic
343C2×#6104C2311yescharacteristic
344C2×#6104C2311yescharacteristic
345C2×#6104C2311yescharacteristic
346C2×#6104C2311yescharacteristic
347#88184—21no—
348#88184—21no—
349#88184—21no—
350#88184C2311yescharacteristic
351#88184C2311yescharacteristic
352#88184C2311yescharacteristic
353#88184C2311yescharacteristic
354#88178C2311yescharacteristic
355#88178C2311yescharacteristic
356C2×#6099C2311yescharacteristic
357C2×#6099C2311yescharacteristic
358C2×#6099C2311yescharacteristic
359C2×#6099C2311yescharacteristic
360C22×#1055C2311yescharacteristic
361C22×#1055C2311yescharacteristic
362#88152—21no—
363#88152—21no—
364#88152—21no—
365#88152—21no—
366#88150—21no—
367#88150—21no—
368#88149—21no—
369#88149—21no—
370#88149—21no—
371#88149—21no—
372#88149—21no—
373#88149—21no—
374#88149—21no—
375#88149—21no—
376#88148—21no—
377#88148—21no—
378#88147—21no—
379#88147—21no—
380#88146—21no—
381C4⋊C4×D13—21no—
382#88139—21no—
383#88139—21no—
384#88138—21no—
385#88138—21no—
386#88138—21no—
387#88138—21no—
388#88138—21no—
389#88138—21no—
390#88137—21no—
391#88137—21no—
392#88137—21no—
393#88137—21no—
394#88136—21no—
395#88136—21no—
396#88136—21no—
397#88136—21no—
398#88136—21no—
399#88136—21no—
400C22⋊C4×D13—21no—
401C22⋊C4×D13—21no—
402#88129—21no—
403#88129C2311yescharacteristic
404#88129C2311yescharacteristic
405#88129C2311yescharacteristic
406#88129C2311yescharacteristic
407#88128C2311yescharacteristic
408#88128C2311yescharacteristic
409#88128C2311yescharacteristic
410#88128C2311yescharacteristic
411C4×D52—21no—
412C4×D52—21no—
413C4×D52—21no—
414C4×D52C2311yescharacteristic
415C4×D52C2311yescharacteristic
416C4×D52C2311yescharacteristic
417C4×D52C2311yescharacteristic
418#88123C2311yescharacteristic
419#88123C2311yescharacteristic
420C4×Dic26C2311yescharacteristic
421C4×Dic26C2311yescharacteristic
422#88075C2311yescharacteristic
423#88075C2311yescharacteristic
424#88072C2311yescharacteristic
425#88072C2311yescharacteristic
426#88072C2311yescharacteristic
427#88072C2311yescharacteristic
428#88072C2311yescharacteristic
429#88072C2311yescharacteristic
430C22⋊#1055C2311yescharacteristic
431C22⋊#1055C2311yescharacteristic
432C22⋊#1055C2311yescharacteristic
433C22⋊#1055C2311yescharacteristic
434C22⋊#1055C2311yescharacteristic
435C22⋊#1055C2311yescharacteristic
436#88050C2311yescharacteristic
437#88050C2311yescharacteristic
438#88050C2311yescharacteristic
439#88050C2311yescharacteristic
440#88050C2311yescharacteristic
441#88050C2311yescharacteristic
442#88050C2311yescharacteristic
443#88050C2311yescharacteristic
444#88049C2311yescharacteristic
445#88049C2311yescharacteristic
446#88049C2311yescharacteristic
447#88049C2311yescharacteristic
448#88049C2311yescharacteristic
449#88049C2311yescharacteristic
450#88049C2311yescharacteristic
451#88049C2311yescharacteristic
452#88049C2311yescharacteristic
453#88049C2311yescharacteristic
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—22no—
490C13×#41—41no—
491C13×#41—82no—
492C2×Q8×C13—21no—
493C2×Q8×C13C2×D411yescharacteristic
494C2×Q8×C13C2411yescharacteristic
495C2×D4×C13—22no—
496C2×D4×C13—22no—
497C2×D4×C13—21no—
498C2×D4×C13—21no—
499C2×D4×C13—21no—
500C2×D4×C13—21no—
501C2×D4×C13—21no—
502C2×D4×C13—21no—
503C2×D4×C13—21no—
504C2×D4×C13—21no—
505C2×D4×C13—21no—
506C2×D4×C13—41no—
507C2×D4×C13—41no—
508C2×D4×C13—82no—
509C2×D4×C13C2×D411yescharacteristic
510C2×D4×C13C2×D411yescharacteristic
511C2×D4×C13C2×D411yescharacteristic
512C2×D4×C13C2411yescharacteristic
513C2×D4×C13C2411yescharacteristic
514C2×D4×C13C2411yescharacteristic
515C22×C4×C13—21no—
516C22×C4×C13—21no—
517C22×C4×C13—21no—
518C22×C4×C13—21no—
519C22×C4×C13—21no—
520C22×C4×C13—21no—
521C22×C4×C13—21no—
522C22×C4×C13—21no—
523C22×C4×C13—21no—
524C22×C4×C13—21no—
525C22×C4×C13—21no—
526C22×C4×C13—82no—
527C22×C4×C13C2×D411yescharacteristic
528C22×C4×C13C2×D411yescharacteristic
529C22×C4×C13C2411yescharacteristic
530C22×C4×C13C2411yescharacteristic
531C22×C4×C13C2411yescharacteristic
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—
540#6131—82no—
541D4×D13—82no—
542#6127—41no—
543#6127—41no—
544#6127—41no—
545#6127—41no—
546#6127—41no—
547#6127—41no—
548#6127—41no—
549#6127—41no—
550#6127—82no—
551C2×D52—21no—
552C2×D52—21no—
553C2×D52—21no—
554C2×D52—21no—
555C2×D52—21no—
556C2×D52—21no—
557C2×D52—21no—
558C2×D52—21no—
559C2×D52—21no—
560C2×D52—21no—
561C2×D52—41no—
562C2×D52—41no—
563C2×D52—41no—
564C2×D52—41no—
565C2×D52C2411yescharacteristic
566C2×D52C2411yescharacteristic
567C2×D52C2411yescharacteristic
568C2×D52C2411yescharacteristic
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×Dic26—21no—
578C2×Dic26C2411yescharacteristic
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⋊C4—21no—
588C13×C4⋊C4—21no—
589C13×C4⋊C4—21no—
590C13×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
598C13×C4⋊C4C2×D411yescharacteristic
599C13×C4⋊C4C2×D411yescharacteristic
600C13×C4⋊C4C2×D411yescharacteristic
601C13×C4⋊C4C2411yescharacteristic
602C13×C4⋊C4C2411yescharacteristic
603C13×C4⋊C4C2411yescharacteristic
604C13×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
618C13×C22⋊C4—21no—
619C13×C22⋊C4—21no—
620C13×C22⋊C4—21no—
621C13×C22⋊C4—21no—
622C13×C22⋊C4—21no—
623C13×C22⋊C4—21no—
624C13×C22⋊C4C2×D411yescharacteristic
625C13×C22⋊C4C2×D411yescharacteristic
626C13×C22⋊C4C2×D411yescharacteristic
627C13×C22⋊C4C2×D411yescharacteristic
628C13×C22⋊C4C2×D411yescharacteristic
629C13×C22⋊C4C2×D411yescharacteristic
630C13×C22⋊C4C2×D411yescharacteristic
631C13×C22⋊C4C2×D411yescharacteristic
632C13×C22⋊C4C2×D411yescharacteristic
633C13×C22⋊C4C2×D411yescharacteristic
634C42×C13—21no—
635C42×C13—21no—
636C42×C13—21no—
637C42×C13C2×D411yescharacteristic
638C42×C13C2×D411yescharacteristic
639C42×C13C2411yescharacteristic
640C42×C13C2411yescharacteristic
641C42×C13C2411yescharacteristic
642C42×C13C2411yescharacteristic
643C22⋊Dic13—21no—
644C22⋊Dic13—21no—
645#6107—41no—
646#6107—41no—
647#6106—41no—
648#6106—41no—
649#6106—41no—
650#6106—41no—
651#6105—22no—
652#6105—22no—
653#6105—41no—
654#6105—41no—
655#6105—41no—
656#6105—41no—
657#6104—22no—
658#6104—22no—
659#6104—22no—
660#6104—22no—
661#6104—41no—
662#6104—41no—
663#6104—41no—
664#6104—41no—
665#6104—41no—
666#6104—41no—
667#6104—41no—
668#6104—41no—
669#6103—21no—
670#6103—21no—
671#6103—21no—
672#6103—21no—
673#6103—21no—
674#6103—21no—
675#6103—21no—
676#6103—21no—
677#6103—21no—
678#6103—21no—
679#6103—21no—
680#6103—21no—
681#6103—21no—
682#6103—21no—
683#6103—21no—
684#6103—21no—
685C4⋊Dic13—21no—
686C4⋊Dic13—21no—
687C4⋊Dic13—21no—
688C4⋊Dic13C2411yescharacteristic
689C4⋊Dic13C2411yescharacteristic
690#6101—21no—
691#6101—21no—
692#6101—21no—
693#6101—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#3546—131no—
711#3513D1311yescharacteristic, complemented
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—42no—
745C23×C13—42no—
746C23×C13—42no—
747C23×C13—81no—
748C23×C13—81no—
749C23×C13—81no—
750C23×C13C22×D411yescharacteristic
751C23×C13C22×D411yescharacteristic
752C23×C13C22×D411yescharacteristic
753C22×D13—21no—
754C22×D13—21no—
755C22×D13—21no—
756C22×D13—21no—
757C22×D13—81no—
758C22×D13—81no—
759C22×D13—81no—
760C22×D13—81no—
761C22×D13—81no—
762C22×D13—81no—
763Q8×C13—21no—
764Q8×C13—21no—
765Q8×C13—41no—
766Q8×C13—81no—
767D4×C13—21no—
768D4×C13—21no—
769D4×C13—21no—
770D4×C13—21no—
771D4×C13—21no—
772D4×C13—41no—
773D4×C13—41no—
774D4×C13—41no—
775D4×C13—42no—
776D4×C13—42no—
777D4×C13—42no—
778D4×C13—42no—
779D4×C13—81no—
780D4×C13—81no—
781D4×C13—81no—
782D4×C13—81no—
783D4×C13—81no—
784D4×C13H(5,𝔽2)12yes—
785C2×C4×C13—21no—
786C2×C4×C13—21no—
787C2×C4×C13—21no—
788C2×C4×C13—21no—
789C2×C4×C13—21no—
790C2×C4×C13—21no—
791C2×C4×C13—21no—
792C2×C4×C13—21no—
793C2×C4×C13—21no—
794C2×C4×C13—21no—
795C2×C4×C13—21no—
796C2×C4×C13—41no—
797C2×C4×C13—41no—
798C2×C4×C13—42no—
799C2×C4×C13—42no—
800C2×C4×C13—81no—
801C2×C4×C13—81no—
802C2×C4×C13—81no—
803C2×C4×C13—81no—
804C2×C4×C13—81no—
805C2×C4×C13—81no—
806C2×C4×C13—81no—
807C2×C4×C13—81no—
808C2×C4×C13—81no—
809C2×C4×C13C22×D411yescharacteristic
810C2×C4×C13C22×D411yescharacteristic
811C2×C4×C13C22×D411yescharacteristic
812C2×C4×C13C22×D411yescharacteristic
813C2×C4×C13C22×D411yescharacteristic
814C2×C4×C13C22×D411yescharacteristic
815C2×C4×C13C22×D411yescharacteristic
816C2×C4×C13C22×D411yescharacteristic
817C2×C4×C13C22×D411yescharacteristic
818C2×C4×C13C22×D411yescharacteristic
819C2×C4×C13C22×D411yescharacteristic
820C2×C4×C13C2511yescharacteristic
821C22⋊D13—81no—
822C22⋊D13—81no—
823C22⋊D13—81no—
824C22⋊D13—81no—
825C22⋊D13—81no—
826C22⋊D13—81no—
827C22⋊D13—81no—
828C22⋊D13—81no—
829C2×Dic13—21no—
830C2×Dic13—21no—
831C2×Dic13—21no—
832C2×Dic13—21no—
833D52—21no—
834D52—21no—
835D52—21no—
836D52—21no—
837D52—21no—
838D52—21no—
839D52—21no—
840D52—21no—
841D52—42no—
842D52—81no—
843D52—81no—
844D52—81no—
845D52—81no—
846D52—81no—
847D52—81no—
848D52—81no—
849D52—81no—
850D52—81no—
851C4×D13—42no—
852C4×D13—42no—
853C4×D13—81no—
854C4×D13—81no—
855C4×D13—81no—
856C4×D13—81no—
857C4×D13—81no—
858C4×D13—81no—
859Dic26—21no—
860Dic26—21no—
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—261no—
879#560—261no—
880#559C2×D1311yescharacteristic, complemented
881#556—131no—
882#554C2×D1311yescharacteristic, complemented
883#553—21no—
884#553—261no—
885#553C2×D1311yescharacteristic
886#552C2×D1311yescharacteristic, complemented
887#551—21no—
888#551—21no—
889#550—131no—
890#550—131no—
891#550—131no—
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#542—131no—
904#542C2×D1311yescharacteristic, complemented
905#540C2×D1311yescharacteristic, complemented
906#539—21no—
907#538—21no—
908#538—261no—
909#538—261no—
910#537—261no—
911#535—131no—
912#535—131no—
913#535—261no—
914#532—131no—
915#532—131no—
916#529C2×D1311yescharacteristic
917#529C2×D1311yescharacteristic, complemented
918#525—21no—
919C2×#123—21no—
920#520C2×D1311yescharacteristic, complemented
921#518C2×D1311yescharacteristic, complemented
922C2×C4×D4C2×D1311yescharacteristic, complemented
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—22no—
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—84no—
1062C22×C13—162no—
1063C22×C13C23×D411yescharacteristic
1064C2×D13—41no—
1065C2×D13—41no—
1066C2×D13—41no—
1067C2×D13—41no—
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—162no—
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×C13—41no—
1094C4×C13C2×H(5,𝔽2)11yescharacteristic
1095C4×C13#58511yescharacteristic
1096Dic13—41no—
1097Dic13—41no—
1098Dic13—41no—
1099Dic13—41no—
1100C2×#41—21no—
1101C2×#41—131no—
1102C2×#41—131no—
1103C2×#41—131no—
1104C2×#41—131no—
1105C2×#41—261no—
1106C2×#41—261no—
1107C2×#41C22×D1311yescharacteristic
1108C22×D4—21no—
1109C22×D4—131no—
1110C22×D4—131no—
1111C22×D4—261no—
1112C22×D4C22×D1311yescharacteristic
1113C22×D4C22×D1311yescharacteristic
1114C23×C4—21no—
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⋊Q8—131no—
1153C4⋊Q8C22×D1311yescharacteristic
1154#127—131no—
1155#127—131no—
1156#127—131no—
1157#127—131no—
1158#127—261no—
1159#127—261no—
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—21no—
1172#125C22⋊D1311yescharacteristic
1173#125C22×D1311yescharacteristic
1174#125C22×D1311yescharacteristic
1175#124—21no—
1176#124—21no—
1177#124—131no—
1178#124—131no—
1179#124—131no—
1180#124—131no—
1181#124—261no—
1182#124—261no—
1183#124—261no—
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—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
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—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—131no—
1213C22⋊Q8—131no—
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—131no—
1227#121—131no—
1228#121—131no—
1229#121—131no—
1230#121—261no—
1231#121—261no—
1232#121—261no—
1233#121—261no—
1234#121—261no—
1235#121—261no—
1236#121—261no—
1237#121—261no—
1238#121—261no—
1239#121—261no—
1240#121—261no—
1241#121—261no—
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—261no—
1258#120—261no—
1259#120—261no—
1260#120—261no—
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—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
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×D4C22×D1311yescharacteristic
1289C4×D4C22×D1311yescharacteristic
1290C4×D4C22×D1311yescharacteristic
1291C4×D4C22×D1311yescharacteristic
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—21no—
1301#117—21no—
1302#117—261no—
1303#117C22×D1311yescharacteristic
1304#117C22×D1311yescharacteristic
1305#117C22×D1311yescharacteristic
1306C2×C4⋊C4—21no—
1307C2×C4⋊C4—21no—
1308C2×C4⋊C4—261no—
1309C2×C4⋊C4C22×D1311yescharacteristic
1310C2×C4⋊C4C22×D1311yescharacteristic
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C22⋊C4—21no—
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—42no—
1385C2×C13—81no—
1386C2×C13—81no—
1387C2×C13#348811yescharacteristic
1388C2×C13#358511yescharacteristic
1389C2×C13#358511yescharacteristic
1390D13—81no—
1391D13—81no—
1392D13—81no—
1393D13—81no—
1394C24—21no—
1395C24—21no—
1396C24—261no—
1397C24—261no—
1398#41—22no—
1399#41—41no—
1400#41—82no—
1401#41—521no—
1402#41—521no—
1403#41—521no—
1404#41—521no—
1405#41—521no—
1406#41—521no—
1407#41—521no—
1408#41—521no—
1409#41—1042no—
1410#41—1042no—
1411C2×Q8—21no—
1412C2×Q8—131no—
1413C2×Q8—131no—
1414C2×Q8—261no—
1415C2×Q8C2×C22⋊D1311yescharacteristic
1416C2×Q8C23×D1311yescharacteristic
1417C2×D4—22no—
1418C2×D4—22no—
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—41no—
1429C2×D4—41no—
1430C2×D4—82no—
1431C2×D4—131no—
1432C2×D4—131no—
1433C2×D4—131no—
1434C2×D4—131no—
1435C2×D4—261no—
1436C2×D4—261no—
1437C2×D4—261no—
1438C2×D4—261no—
1439C2×D4—261no—
1440C2×D4—261no—
1441C2×D4—261no—
1442C2×D4—261no—
1443C2×D4—261no—
1444C2×D4—261no—
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—521no—
1454C2×D4—521no—
1455C2×D4—521no—
1456C2×D4—521no—
1457C2×D4—1042no—
1458C2×D4C2×C22⋊D1311yescharacteristic
1459C2×D4C2×C22⋊D1311yescharacteristic
1460C2×D4C2×C22⋊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—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—82no—
1476C22×C4—261no—
1477C22×C4—261no—
1478C22×C4—261no—
1479C22×C4—261no—
1480C22×C4—261no—
1481C22×C4—261no—
1482C22×C4—261no—
1483C22×C4—261no—
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—21no—
1535C4⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—131no—
1539C4⋊C4—131no—
1540C4⋊C4—261no—
1541C4⋊C4—261no—
1542C4⋊C4—261no—
1543C4⋊C4—261no—
1544C4⋊C4—261no—
1545C4⋊C4—261no—
1546C4⋊C4—261no—
1547C4⋊C4C2×C22⋊D1311yescharacteristic
1548C4⋊C4C2×C22⋊D1311yescharacteristic
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⋊C4C23×D1311yescharacteristic
1558C4⋊C4C23×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—21no—
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—21no—
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—42no—
1624C23—42no—
1625C23—42no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—261no—
1630C23—261no—
1631C23—261no—
1632C23—261no—
1633C23—1041no—
1634C23—1041no—
1635C23—1041no—
1636C23—1041no—
1637C23—1041no—
1638C23—1041no—
1639C23C22×C22⋊D1311yescharacteristic
1640C23C22×C22⋊D1311yescharacteristic
1641C23C22×C22⋊D1311yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—41no—
1645Q8—81no—
1646Q8—261no—
1647Q8—261no—
1648Q8—261no—
1649Q8—261no—
1650Q8—1041no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—41no—
1657D4—41no—
1658D4—41no—
1659D4—42no—
1660D4—42no—
1661D4—42no—
1662D4—42no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—261no—
1669D4—261no—
1670D4—261no—
1671D4—261no—
1672D4—261no—
1673D4—261no—
1674D4—261no—
1675D4—261no—
1676D4—522no—
1677D4—1041no—
1678D4—1041no—
1679D4—1041no—
1680D4—1041no—
1681D4—1041no—
1682D4—1041no—
1683D4—1041no—
1684D4—1041no—
1685D4—1041no—
1686D4—1041no—
1687D4—1041no—
1688D4—1041no—
1689D4—1041no—
1690D4—1041no—
1691D4—1041no—
1692D4—1041no—
1693D4—1041no—
1694D4#8825612yes—
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—21no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—42no—
1709C2×C4—42no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—81no—
1714C2×C4—81no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—261no—
1720C2×C4—261no—
1721C2×C4—261no—
1722C2×C4—261no—
1723C2×C4—522no—
1724C2×C4—522no—
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—22no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—84no—
1770C22—162no—
1771C22—521no—
1772C22—521no—
1773C22—521no—
1774C22—521no—
1775C22—521no—
1776C22—521no—
1777C22—521no—
1778C22—521no—
1779C22—521no—
1780C22—521no—
1781C22—521no—
1782C22—521no—
1783C22—2082no—
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—41no—
1802C4—521no—
1803C4—521no—
1804C4—521no—
1805C4—521no—
1806C4C2×#8825611yescharacteristic
1807C4#1171964811yescharacteristic
1808C2—41no—
1809C2—41no—
1810C2—41no—
1811C2—42no—
1812C2—81no—
1813C2—81no—
1814C2—1041no—
1815C2—1041no—
1816C2—1041no—
1817C2—1041no—
1818C2#1312850511yescharacteristic
1819C2#1312961511yescharacteristic
1820C2#1312961611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3513C2
socleC22×C13C23×D4
hypercenter#3513D13
hypocenterC13#62083
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #529 ◁ #3513

Complements

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

NH ≅ G/Ntype
1. #13129210C2semidirect
2. #13127896C2semidirect
3. #13127874C2semidirect
4. #13127663C2semidirect
5. #13127543C2semidirect
6. #13127157C2semidirect
7. #13127046C2semidirect
8. #13126971C2semidirect
9. #13126956C2semidirect
10. #13126806C2semidirect
11. #13126791C2semidirect
12. #13126452C2semidirect
13. #13126443C2semidirect
14. #13126372C2semidirect
15. #13126357C2semidirect
16. #13126317C2semidirect
17. #13126312C2semidirect
18. #13126301C2semidirect
19. #13126241C2semidirect
20. #13126198C2semidirect
21. #13125924C2semidirect
22. #13125880C2semidirect
23. #13125869C2semidirect
24. #13125113C2semidirect
25. #13125020C2semidirect
26. #13124927C2semidirect
27. #13124375C2semidirect
28. #13124339C2semidirect
29. #13124300C2semidirect
30. #13124006C2semidirect
31. C13×#3513C2semidirect
32. C13×#559C22semidirect
33. C13×#554C22semidirect
36. C13×#552C22semidirect
39. C13×#547C22semidirect
42. C13×#546C22semidirect
43. D42×C13C22semidirect
44. C13×#542C22semidirect
45. C13×#540C22semidirect
49. C13×#529C22semidirect
52. C13×#520C22semidirect
53. C13×#518C22semidirect
54. C2×C4×D4×C13C22semidirect
55. C2×#88204C22semidirect
57. C2×#88186C22semidirect
58. C2×#88186C22semidirect
59. C2×#88186C22semidirect
69. #11719289C22semidirect
70. #11719282C22semidirect
72. #11719258C22semidirect
73. #11719256C22semidirect
75. #11719255C22semidirect
76. D4×D52C22semidirect
77. #11719239C22semidirect
78. #11719239C22semidirect
79. #11719230C22semidirect
80. #11719230C22semidirect
81. #11719182C22semidirect
82. #11719182C22semidirect
83. #11718900C22semidirect
85. #11718879C22semidirect
88. #11718878C22semidirect
89. #11718755C22semidirect
90. #11718750C22semidirect
91. #11718749C22semidirect
92. #11718745C22semidirect
93. #11718736C22semidirect
95. #11718734C22semidirect
96. #11718733C22semidirect
97. #11718730C22semidirect
98. #11718729C22semidirect
99. #11718728C22semidirect
100. #11718728C22semidirect
101. #11718727C22semidirect
102. #11718727C22semidirect
103. #11718727C22semidirect
104. #11718724C22semidirect
105. #11718721C22semidirect
106. #11718720C22semidirect
107. #11718719C22semidirect
108. #11718719C22semidirect
109. #11718718C22semidirect
110. #11718718C22semidirect
111. #11718718C22semidirect
112. #11718715C22semidirect
113. #11718713C22semidirect
114. #11718710C22semidirect
115. #11718710C22semidirect
116. #11718709C22semidirect
117. #11718708C22semidirect
118. #11718708C22semidirect
119. #11718708C22semidirect
120. #11718707C22semidirect
121. #11718703C22semidirect
122. #11718702C22semidirect
123. #11718702C22semidirect
126. #11718700C22semidirect
127. #11718700C22semidirect
128. #11718699C22semidirect
129. #11718698C22semidirect
130. #11718698C22semidirect
131. #11718698C22semidirect
132. #11718698C22semidirect
133. #11718698C22semidirect
135. #11718697C22semidirect
136. #11718697C22semidirect
137. #11718691C22semidirect
138. #11718689C22semidirect
139. #11718689C22semidirect
140. #11718689C22semidirect
141. #11718688C22semidirect
142. #11718688C22semidirect
143. C4×#6106C22semidirect
144. #11718685C22semidirect
145. #11718685C22semidirect
146. #11718681C22semidirect
147. #11718680C22semidirect
148. #11718680C22semidirect
149. #11718679C22semidirect
150. C4×#6105C22semidirect
151. C4×#6105C22semidirect
154. #11718677C22semidirect
155. #11718677C22semidirect
156. #11718677C22semidirect
157. #11718677C22semidirect
158. #11718677C22semidirect
159. #11718677C22semidirect
160. #11718677C22semidirect
163. #11718676C22semidirect
164. #11718676C22semidirect
165. #11718676C22semidirect
166. #11718676C22semidirect
167. #11718676C22semidirect
168. #11718676C22semidirect
170. #11718675C22semidirect
171. #11718675C22semidirect
172. #11718675C22semidirect
173. #11718675C22semidirect
174. #11718675C22semidirect
175. C4×#6104C22semidirect
176. #11718673C22semidirect
177. #11718673C22semidirect
178. #11718672C22semidirect
179. #11718672C22semidirect
180. #11718672C22semidirect
181. #11718672C22semidirect
182. #11718669C22semidirect
183. #11718669C22semidirect
184. #11718668C22semidirect
185. #11718664C22semidirect
186. #11718663C22semidirect
187. #11718662C22semidirect
188. #11718661C22semidirect
189. #11718661C22semidirect
190. #11718660C22semidirect
191. #11718660C22semidirect
192. #11718657C22semidirect
193. #11718632C22semidirect
194. #11718629C22semidirect
195. #11718629C22semidirect
196. #11718629C22semidirect
197. #11718627C22semidirect
198. #11718627C22semidirect
199. #11718627C22semidirect
200. C2×#88049C22semidirect
201. #11718587C22semidirect
202. #11718585C22semidirect
711. #3513D13semidirect
880. #559C2×D13semidirect
882. #554C2×D13semidirect
886. #552C2×D13semidirect
893. #547C2×D13semidirect
899. #546C2×D13semidirect
901. D42C2×D13semidirect
904. #542C2×D13semidirect
905. #540C2×D13semidirect
917. #529C2×D13semidirect
920. #520C2×D13semidirect
921. #518C2×D13semidirect
922. C2×C4×D4C2×D13semidirect
1619. C13#62083semidirect

Maximal subgroups

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

subgroupindex
#131292102
#131278962
#131278742
#131276632
#131275432
#131271572
#131270462
#131269712
#131269562
#131268062
#131267912
#131264522
#131264432
#131263722
#131263572
#131263172
#131263122
#131263012
#131262412
#131261982
#131259242
#131258802
#131258692
#131251132
#131250202
#131249272
#131243752
#131243392
#131243002
#131240062
C13×#35132
#6208313