Finite Group Databasebeta

← #16741573

Subgroups — #16741573

Order 3328.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128394C211yesmaximal, characteristic, complemented
2#13127381C211yesmaximal, characteristic, complemented
3#13127375C211yesmaximal, characteristic, complemented
4#13127366C211yesmaximal, characteristic, complemented
5#13127360C211yesmaximal, characteristic, complemented
6#13127351C211yesmaximal, characteristic, complemented
7#13127345C211yesmaximal, characteristic, complemented
8#13127336C211yesmaximal, characteristic, complemented
9#13127330C211yesmaximal, characteristic, complemented
10#13127321C211yesmaximal, characteristic, complemented
11#13127315C211yesmaximal, characteristic, complemented
12#13127306C211yesmaximal, characteristic, complemented
13#13127300C211yesmaximal, characteristic, complemented
14#13127291C211yesmaximal, characteristic, complemented
15#13127285C211yesmaximal, characteristic, complemented
16#13127276C211yesmaximal, characteristic, complemented
17#13127270C211yesmaximal, characteristic, complemented
18#13125358C211yesmaximal, characteristic, complemented
19#13124749C211yesmaximal, characteristic, complemented
20#13124749C211yesmaximal, characteristic, complemented
21#13124745C211yesmaximal, characteristic, complemented
22#13124745C211yesmaximal, characteristic, complemented
23#13124624C211yesmaximal, characteristic, complemented
24#13124618C211yesmaximal, characteristic, complemented
25#13124442C211yesmaximal, characteristic, complemented
26#13124414C211yesmaximal, characteristic, complemented
27#13123634C211yesmaximal, characteristic, complemented
28C2×#11718672C211yesmaximal, characteristic, complemented
29#13123425C211yesmaximal, characteristic, complemented
30C2×#11718659C211yesmaximal, characteristic, complemented
31C13×#3475C211yesmaximal, characteristic, complemented
32C13×#556C2211yescharacteristic
33C13×#555C2211yescharacteristic
34C13×#554C2211yescharacteristic
35C13×#553C2211yescharacteristic
36C13×#553C2211yescharacteristic
37C13×#552—21no—
38C13×#552C2211yescharacteristic
39C13×#552C2211yescharacteristic
40C13×#551—21no—
41C13×#551—21no—
42C13×#547C2211yescharacteristic
43C13×#546—21no—
44C13×#533C2211yescharacteristic
45C13×#529—21no—
46C13×#529—21no—
47C13×#529—21no—
48C13×#525C2211yescharacteristic
49C13×#525C2211yescharacteristic
50C4×C13×#41—21no—
51C4×C13×#41C2211yescharacteristic
52C2×C4×D4×C13C2211yescharacteristic
53C2×C13×#117C2211yescharacteristic
54C2×C13×#117C2211yescharacteristic
55C2×#88204C2211yescharacteristic
56#11719511—21no—
57#11719496C2211yescharacteristic
58#11719496C2211yescharacteristic
59C2×#88180C2211yescharacteristic
60C2×#88180C2211yescharacteristic
61C22×#6099C2211yescharacteristic
62C23×#1055C2211yescharacteristic
63#11719270C2211yescharacteristic
64#11719270C2211yescharacteristic
65#11719268C2211yescharacteristic
66#11719262—21no—
67#11719260C2211yescharacteristic
68#11719248C2211yescharacteristic
69#11719247C2211yescharacteristic
70#11719246C2211yescharacteristic
71#11719246C2211yescharacteristic
72#11719243—21no—
73#11719243—21no—
74C4×#6129—21no—
75#11719218—21no—
76#11719200—21no—
77#11719200—21no—
78C4×#6127C2211yescharacteristic
79#11719175C2211yescharacteristic
80#11718894C2211yescharacteristic
81#11718894C2211yescharacteristic
82#11718894C2211yescharacteristic
83C2×C22⋊#1055C2211yescharacteristic
84C2×C22⋊#1055C2211yescharacteristic
85#11718755C2211yescharacteristic, complemented
86#11718752C2211yescharacteristic, complemented
87#11718748C2211yescharacteristic, complemented
88#11718745C2211yescharacteristic, complemented
89#11718741C2211yescharacteristic, complemented
90#11718741C2211yescharacteristic, complemented
91#11718741C2211yescharacteristic, complemented
92#11718741C2211yescharacteristic, complemented
93#11718727C2211yescharacteristic, complemented
94#11718727C2211yescharacteristic, complemented
95#11718726C2211yescharacteristic, complemented
96#11718726C2211yescharacteristic, complemented
97#11718726C2211yescharacteristic, complemented
98#11718726C2211yescharacteristic, complemented
99#11718724C2211yescharacteristic, complemented
100#11718724C2211yescharacteristic, complemented
101#11718713C2211yescharacteristic, complemented
102#11718713C2211yescharacteristic, complemented
103#11718712C2211yescharacteristic, complemented
104#11718712C2211yescharacteristic, complemented
105#11718710C2211yescharacteristic, complemented
106#11718710C2211yescharacteristic, complemented
107#11718709C2211yescharacteristic, complemented
108#11718709C2211yescharacteristic, complemented
109#11718706C2211yescharacteristic, complemented
110#11718706C2211yescharacteristic, complemented
111#11718706C2211yescharacteristic, complemented
112#11718706C2211yescharacteristic, complemented
113#11718705C2211yescharacteristic, complemented
114#11718705C2211yescharacteristic, complemented
115#11718704C2211yescharacteristic, complemented
116#11718704C2211yescharacteristic, complemented
117#11718703C2211yescharacteristic, complemented
118#11718703C2211yescharacteristic, complemented
119#11718702C2211yescharacteristic, complemented
120#11718702C2211yescharacteristic, complemented
121#11718700C2211yescharacteristic, complemented
122#11718700C2211yescharacteristic, complemented
123#11718699C2211yescharacteristic, complemented
124#11718699C2211yescharacteristic, complemented
125#11718696C2211yescharacteristic, complemented
126#11718696C2211yescharacteristic, complemented
127#11718696C2211yescharacteristic, complemented
128#11718696C2211yescharacteristic, complemented
129#11718695C2211yescharacteristic, complemented
130#11718695C2211yescharacteristic, complemented
131#11718694C2211yescharacteristic, complemented
132#11718694C2211yescharacteristic, complemented
133#11718691C2211yescharacteristic, complemented
134#11718691C2211yescharacteristic, complemented
135#11718687C2211yescharacteristic, complemented
136#11718687C2211yescharacteristic, complemented
137#11718683C2211yescharacteristic, complemented
138#11718683C2211yescharacteristic, complemented
139#11718682C2211yescharacteristic, complemented
140#11718681C2211yescharacteristic, complemented
141#11718679C2211yescharacteristic, complemented
142#11718679C2211yescharacteristic, complemented
143#11718675C2211yescharacteristic, complemented
144#11718675C2211yescharacteristic, complemented
145#11718672C2211yescharacteristic
146#11718672C2211yescharacteristic
147#11718672C2211yescharacteristic
148#11718672C2211yescharacteristic
149#11718672C2211yescharacteristic
150#11718672C2211yescharacteristic
151#11718672C2211yescharacteristic
152#11718672C2211yescharacteristic
153#11718670C2211yescharacteristic, complemented
154#11718670C2211yescharacteristic, complemented
155#11718669C2211yescharacteristic, complemented
156#11718668C2211yescharacteristic, complemented
157#11718664C2211yescharacteristic, complemented
158#11718664C2211yescharacteristic, complemented
159#11718664C2211yescharacteristic, complemented
160#11718664C2211yescharacteristic, complemented
161#11718663C2211yescharacteristic
162#11718663C2211yescharacteristic
163#11718663C2211yescharacteristic
164#11718659C2211yescharacteristic
165#11718659C2211yescharacteristic
166#11718659C2211yescharacteristic
167#11718659C2211yescharacteristic
168#11718659C2211yescharacteristic
169#11718659C2211yescharacteristic
170#11718659C2211yescharacteristic
171#11718659C2211yescharacteristic
172#11718659C2211yescharacteristic
173#11718659C2211yescharacteristic, complemented
174#11718659C2211yescharacteristic, complemented
175#11718659C2211yescharacteristic, complemented
176#11718659C2211yescharacteristic, complemented
177#11718657C2211yescharacteristic, complemented
178#11718657C2211yescharacteristic, complemented
179#11718657C2211yescharacteristic, complemented
180#11718657C2211yescharacteristic, complemented
181#11718656C2211yescharacteristic, complemented
182#11718656C2211yescharacteristic, complemented
183#11718656C2211yescharacteristic, complemented
184#11718656C2211yescharacteristic, complemented
185#11718632C2211yescharacteristic, complemented
186#11718632C2211yescharacteristic, complemented
187#11718631C2211yescharacteristic, complemented
188#11718631C2211yescharacteristic, complemented
189#11718629C2211yescharacteristic, complemented
190#11718629C2211yescharacteristic, complemented
191#11718628C2211yescharacteristic, complemented
192#11718628C2211yescharacteristic, complemented
193#11718625C2211yescharacteristic, complemented
194#11718625C2211yescharacteristic, complemented
195#11718625C2211yescharacteristic, complemented
196#11718625C2211yescharacteristic, complemented
197C2×#88048C2211yescharacteristic, complemented
198C2×#88048C2211yescharacteristic, complemented
199C2×#88047C2211yescharacteristic, complemented
200C2×#88047C2211yescharacteristic, complemented
201C2×C4⋊#1055C2211yescharacteristic
202C2×#88043C2211yescharacteristic
203C2×C13×#41—21no—
204C2×C13×#41C2311yescharacteristic
205C22×D4×C13D411yescharacteristic
206C23×C4×C13C2311yescharacteristic
207C23×C4×C13C2311yescharacteristic
208C2×#6129—21no—
209C2×#6127C2311yescharacteristic
210C13×C4⋊Q8C2311yescharacteristic
211C13×C4⋊Q8C2311yescharacteristic
212C13×#126—21no—
213C13×#126—21no—
214C13×#126—21no—
215C13×#126—21no—
216C13×#126—21no—
217C13×#126—21no—
218C13×#125—21no—
219C13×#125—21no—
220C13×#125—21no—
221C13×#125C2311yescharacteristic
222C13×#125C2311yescharacteristic
223C13×#124—21no—
224C13×#124—21no—
225C13×#124—21no—
226C13×#123—21no—
227C13×#123—21no—
228C13×#123—21no—
229C13×#123—21no—
230C13×#123—21no—
231C13×#123—21no—
232C13×#123—21no—
233C13×#123—21no—
234C13×C22⋊Q8—21no—
235C13×C22⋊Q8—21no—
236C13×C22⋊Q8—21no—
237C13×C22⋊Q8—21no—
238C13×C22⋊Q8—21no—
239C13×C22⋊Q8C2311yescharacteristic
240C13×C22⋊Q8C2311yescharacteristic
241C13×C22⋊Q8C2311yescharacteristic
242C13×C22⋊Q8C2311yescharacteristic
243C13×#121—21no—
244C13×#121—21no—
245C13×#121—21no—
246C13×#121C2311yescharacteristic
247C13×#121C2311yescharacteristic
248C13×#121C2311yescharacteristic
249C13×#121C2311yescharacteristic
250C13×#120—21no—
251C13×#120—21no—
252C4×Q8×C13—21no—
253C4×Q8×C13—21no—
254C4×Q8×C13—21no—
255C4×Q8×C13C2311yescharacteristic
256C4×Q8×C13C2311yescharacteristic
257C4×D4×C13—21no—
258C4×D4×C13—21no—
259C4×D4×C13—21no—
260C4×D4×C13—21no—
261C4×D4×C13—21no—
262C4×D4×C13—21no—
263C4×D4×C13—21no—
264C4×D4×C13—21no—
265C4×D4×C13—21no—
266C4×D4×C13D411yescharacteristic
267C4×D4×C13D411yescharacteristic
268C4×D4×C13D411yescharacteristic
269C4×D4×C13D411yescharacteristic
270C4×D4×C13C2311yescharacteristic
271C4×D4×C13C2311yescharacteristic
272C4×D4×C13C2311yescharacteristic
273C4×D4×C13C2311yescharacteristic
274C4×D4×C13C2311yescharacteristic
275C4×D4×C13C2311yescharacteristic
276C13×#117—21no—
277C13×#117—21no—
278C13×#117—21no—
279C13×#117—21no—
280C13×#117—21no—
281C13×#117—21no—
282C13×#117—21no—
283C13×#117—21no—
284C13×#117C2311yescharacteristic
285C13×#117C2311yescharacteristic
286C13×#117C2311yescharacteristic
287C13×#117C2311yescharacteristic
288C13×#117C2311yescharacteristic
289C13×#117C2311yescharacteristic
290C13×#117C2311yescharacteristic
291C2×C13×C4⋊C4D411yescharacteristic
292C2×C13×C4⋊C4C2311yescharacteristic
293C2×C13×C4⋊C4C2311yescharacteristic
294C2×C13×C4⋊C4C2311yescharacteristic
295C2×C13×C4⋊C4C2311yescharacteristic
296C2×C13×C22⋊C4—21no—
297C2×C13×C22⋊C4—21no—
298C2×C13×C22⋊C4D411yescharacteristic
299C2×C13×C22⋊C4D411yescharacteristic
300C2×C42×C13—21no—
301C2×C42×C13—21no—
302C2×C42×C13—21no—
303C2×C42×C13C2311yescharacteristic
304#88207—21no—
305#88207—21no—
306C2×C22⋊Dic13—21no—
307C2×C22⋊Dic13—21no—
308#88204—24no—
309C2×#6107C2311yescharacteristic
310C2×#6106C2311yescharacteristic
311#88193—21no—
312#88193—21no—
313#88192—21no—
314#88190—21no—
315#88189—21no—
316#88189—21no—
317D4×Dic13—21no—
318C2×#6105C2311yescharacteristic
319C2×#6104C2311yescharacteristic
320#88184C2311yescharacteristic
321#88184C2311yescharacteristic
322#88184C2311yescharacteristic
323#88184C2311yescharacteristic
324#88183—21no—
325#88183—21no—
326C4×C22⋊D13—21no—
327C4×C22⋊D13—21no—
328C4×C22⋊D13—21no—
329C4×C22⋊D13—21no—
330C4×C22⋊D13—21no—
331C4×C22⋊D13—21no—
332#88180—21no—
333#88180—21no—
334#88180—21no—
335#88180—21no—
336#88180C2311yescharacteristic
337#88180C2311yescharacteristic
338#88180C2311yescharacteristic
339#88180C2311yescharacteristic
340#88180C2311yescharacteristic
341#88180C2311yescharacteristic
342#88180C2311yescharacteristic
343C2×C4⋊Dic13C2311yescharacteristic
344C2×C4⋊Dic13C2311yescharacteristic
345C2×C4⋊Dic13C2311yescharacteristic
346C2×C4⋊Dic13C2311yescharacteristic
347#88178—21no—
348#88178—21no—
349#88178C2311yescharacteristic
350#88178C2311yescharacteristic
351#88178C2311yescharacteristic
352#88178C2311yescharacteristic
353C2×C4×Dic13—21no—
354C2×C4×Dic13—21no—
355C2×#6099—24no—
356C2×#6099C2311yescharacteristic
357C2×#6099C2311yescharacteristic
358C2×#6099C2311yescharacteristic
359C2×#6099C2311yescharacteristic
360C22×#1055—24no—
361C22×#1055C2311yescharacteristic
362C22×#1055C2311yescharacteristic
363C22×#1055C2311yescharacteristic
364C22×#1055C2311yescharacteristic
365C22×#1055C2311yescharacteristic
366C22×#1055C2311yescharacteristic
367C22×#1055C2311yescharacteristic
368C22×#1055C2311yescharacteristic
369#88152—21no—
370#88152—21no—
371#88151—21no—
372#88146—21no—
373#88144—21no—
374#88143—21no—
375#88143—21no—
376#88141—21no—
377#88140—21no—
378#88140—21no—
379#88139—21no—
380#88139—21no—
381#88137—21no—
382#88137—21no—
383#88135—21no—
384#88135—21no—
385#88133—21no—
386#88133—21no—
387#88133—21no—
388#88133—21no—
389#88132—21no—
390#88132—21no—
391#88131—21no—
392#88131—21no—
393C4×D52C2311yescharacteristic
394C4×D52C2311yescharacteristic
395#88126—21no—
396C42×D13—21no—
397#88124C2311yescharacteristic
398#88124C2311yescharacteristic
399#88123C2311yescharacteristic
400#88123C2311yescharacteristic
401C4×Dic26—21no—
402C4×Dic26—21no—
403C4×Dic26C2311yescharacteristic
404C4×Dic26C2311yescharacteristic
405#88075C2311yescharacteristic
406#88075C2311yescharacteristic
407#88075C2311yescharacteristic
408#88075C2311yescharacteristic
409#88075C2311yescharacteristic
410#88075C2311yescharacteristic
411#88072C2311yescharacteristic
412#88072C2311yescharacteristic
413#88072C2311yescharacteristic
414#88072C2311yescharacteristic
415#88072C2311yescharacteristic
416#88072C2311yescharacteristic
417C22⋊#1055C2311yescharacteristic
418C22⋊#1055C2311yescharacteristic
419C22⋊#1055C2311yescharacteristic
420C22⋊#1055C2311yescharacteristic
421C22⋊#1055C2311yescharacteristic
422C22⋊#1055C2311yescharacteristic
423C22⋊#1055C2311yescharacteristic
424C22⋊#1055C2311yescharacteristic
425#88050C2311yescharacteristic
426#88050C2311yescharacteristic
427#88050C2311yescharacteristic
428#88050C2311yescharacteristic
429#88050C2311yescharacteristic
430#88050C2311yescharacteristic
431#88049C2311yescharacteristic
432#88049C2311yescharacteristic
433#88049C2311yescharacteristic
434#88049C2311yescharacteristic
435#88049C2311yescharacteristic
436#88049C2311yescharacteristic
437#88048C2311yescharacteristic
438#88048C2311yescharacteristic
439#88048C2311yescharacteristic
440#88048C2311yescharacteristic
441#88048C2311yescharacteristic
442#88048C2311yescharacteristic
443#88048C2311yescharacteristic
444#88048C2311yescharacteristic
445#88048C2311yescharacteristic
446#88048C2311yescharacteristic
447#88048C2311yescharacteristic
448#88048C2311yescharacteristic
449#88048C2311yescharacteristic
450#88048C2311yescharacteristic
451#88048C2311yescharacteristic
452#88048C2311yescharacteristic
453#88048C2311yescharacteristic
454#88048C2311yescharacteristic
455#88047C2311yescharacteristic
456#88047C2311yescharacteristic
457#88047C2311yescharacteristic
458#88047C2311yescharacteristic
459#88047C2311yescharacteristic
460#88047C2311yescharacteristic
461#88047C2311yescharacteristic
462#88047C2311yescharacteristic
463#88047C2311yescharacteristic
464#88047C2311yescharacteristic
465#88047C2311yescharacteristic
466#88047C2311yescharacteristic
467#88047C2311yescharacteristic
468#88047C2311yescharacteristic
469#88047C2311yescharacteristic
470#88047C2311yescharacteristic
471#88047C2311yescharacteristic
472#88047C2311yescharacteristic
473C4⋊#1055C2311yescharacteristic
474C4⋊#1055C2311yescharacteristic
475C4⋊#1055C2311yescharacteristic
476C4⋊#1055C2311yescharacteristic
477#88043C2311yescharacteristic
478#88043C2311yescharacteristic
479#88043C2311yescharacteristic
480#88043C2311yescharacteristic
481#61243—131nomaximal, Sylow
482C24×C13C2×D411yescharacteristic
483C24×C13C2×D411yescharacteristic
484C13×#41—22no—
485C13×#41—22no—
486C13×#41—44no—
487C2×Q8×C13—21no—
488C2×Q8×C13—21no—
489C2×Q8×C13C2411yescharacteristic
490C2×D4×C13—21no—
491C2×D4×C13—21no—
492C2×D4×C13—21no—
493C2×D4×C13—21no—
494C2×D4×C13—21no—
495C2×D4×C13—42no—
496C2×D4×C13C2×D411yescharacteristic
497C2×D4×C13C2×D411yescharacteristic
498C2×D4×C13C2×D411yescharacteristic
499C2×D4×C13C2×D411yescharacteristic
500C2×D4×C13C2411yescharacteristic
501C22×C4×C13—22no—
502C22×C4×C13—22no—
503C22×C4×C13—22no—
504C22×C4×C13—22no—
505C22×C4×C13—21no—
506C22×C4×C13—21no—
507C22×C4×C13—21no—
508C22×C4×C13—21no—
509C22×C4×C13—21no—
510C22×C4×C13—21no—
511C22×C4×C13—21no—
512C22×C4×C13C2×D411yescharacteristic
513C22×C4×C13C2×D411yescharacteristic
514C22×C4×C13C2×D411yescharacteristic
515C22×C4×C13C2×D411yescharacteristic
516C22×C4×C13C2×D411yescharacteristic
517C22×C4×C13C2×D411yescharacteristic
518C22×C4×C13C2×D411yescharacteristic
519C22×C4×C13C2×D411yescharacteristic
520C22×C4×C13C2411yescharacteristic
521C22×C4×C13C2411yescharacteristic
522C22×C4×C13C2411yescharacteristic
523C22×C4×C13C2411yescharacteristic
524C22×C4×C13C2411yescharacteristic
525C2×C22⋊D13—21no—
526C2×C22⋊D13—21no—
527C2×C22⋊D13—21no—
528C2×C22⋊D13—21no—
529C2×C22⋊D13—21no—
530C22×Dic13—21no—
531C22×Dic13—21no—
532C22×Dic13—21no—
533C22×Dic13—21no—
534#6129—44no—
535#6127—22no—
536#6127—22no—
537C2×D52C2411yescharacteristic
538C2×C4×D13—21no—
539C2×C4×D13—21no—
540C2×C4×D13—21no—
541C2×Dic26—21no—
542C2×Dic26—21no—
543C2×Dic26C2411yescharacteristic
544C13×C4⋊C4—21no—
545C13×C4⋊C4—21no—
546C13×C4⋊C4—21no—
547C13×C4⋊C4—21no—
548C13×C4⋊C4—21no—
549C13×C4⋊C4—21no—
550C13×C4⋊C4—21no—
551C13×C4⋊C4—21no—
552C13×C4⋊C4—21no—
553C13×C4⋊C4—21no—
554C13×C4⋊C4—21no—
555C13×C4⋊C4—21no—
556C13×C4⋊C4—21no—
557C13×C4⋊C4—21no—
558C13×C4⋊C4—21no—
559C13×C4⋊C4—21no—
560C13×C4⋊C4C2×D411yescharacteristic
561C13×C4⋊C4C2×D411yescharacteristic
562C13×C4⋊C4C2×D411yescharacteristic
563C13×C4⋊C4C2×D411yescharacteristic
564C13×C4⋊C4C2411yescharacteristic
565C13×C4⋊C4C2411yescharacteristic
566C13×C4⋊C4C2411yescharacteristic
567C13×C4⋊C4C2411yescharacteristic
568C13×C4⋊C4C2411yescharacteristic
569C13×C4⋊C4C2411yescharacteristic
570C13×C22⋊C4—21no—
571C13×C22⋊C4—21no—
572C13×C22⋊C4—21no—
573C13×C22⋊C4—21no—
574C13×C22⋊C4—21no—
575C13×C22⋊C4—21no—
576C13×C22⋊C4—21no—
577C13×C22⋊C4—21no—
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4—21no—
582C13×C22⋊C4—21no—
583C13×C22⋊C4—21no—
584C13×C22⋊C4—21no—
585C13×C22⋊C4—21no—
586C13×C22⋊C4—21no—
587C13×C22⋊C4C2×D411yescharacteristic
588C13×C22⋊C4C2×D411yescharacteristic
589C13×C22⋊C4C2×D411yescharacteristic
590C13×C22⋊C4C2×D411yescharacteristic
591C13×C22⋊C4C2×D411yescharacteristic
592C13×C22⋊C4C2×D411yescharacteristic
593C13×C22⋊C4C2×D411yescharacteristic
594C13×C22⋊C4C2×D411yescharacteristic
595C42×C13—21no—
596C42×C13—21no—
597C42×C13—21no—
598C42×C13—21no—
599C42×C13—21no—
600C42×C13—21no—
601C42×C13—21no—
602C42×C13—21no—
603C42×C13—21no—
604C42×C13C2×D411yescharacteristic
605C42×C13C2×D411yescharacteristic
606C42×C13C2411yescharacteristic
607C42×C13C2411yescharacteristic
608C22⋊Dic13—21no—
609C22⋊Dic13—21no—
610C22⋊Dic13—21no—
611C22⋊Dic13—21no—
612C22⋊Dic13—21no—
613C22⋊Dic13—21no—
614C22⋊Dic13—21no—
615C22⋊Dic13—21no—
616C22⋊Dic13—21no—
617C22⋊Dic13—21no—
618C22⋊Dic13—21no—
619#6107—22no—
620#6106—22no—
621#6105—22no—
622#6104—22no—
623#6103—21no—
624#6103—21no—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103—21no—
629C4⋊Dic13—21no—
630C4⋊Dic13—21no—
631C4⋊Dic13—21no—
632C4⋊Dic13—21no—
633C4⋊Dic13—21no—
634C4⋊Dic13—21no—
635C4⋊Dic13C2411yescharacteristic
636C4⋊Dic13C2411yescharacteristic
637C4⋊Dic13C2411yescharacteristic
638C4⋊Dic13C2411yescharacteristic
639C4⋊Dic13C2411yescharacteristic
640C4⋊Dic13C2411yescharacteristic
641#6101—21no—
642#6101—21no—
643#6101—21no—
644#6101—21no—
645#6101—21no—
646#6101—21no—
647#6101—21no—
648#6101—21no—
649#6101—21no—
650#6101—21no—
651C4×Dic13—21no—
652C4×Dic13—21no—
653C4×Dic13—21no—
654C4×Dic13—21no—
655C4×Dic13—21no—
656C4×Dic13—21no—
657C4×Dic13—21no—
658C4×Dic13—21no—
659C4×Dic13—21no—
660#6099—22no—
661#6099—22no—
662#6099—22no—
663#6099—22no—
664C2×#1055—22no—
665C2×#1055—22no—
666C2×#1055—22no—
667C2×#1055—22no—
668C2×#1055—22no—
669C2×#1055—22no—
670C2×#1055—22no—
671C2×#1055#4114yescomplemented
672C2×#1055C2411yescharacteristic
673C2×#1055C2411yescharacteristic
674C2×#1055C2411yescharacteristic
675C2×#1055C2411yescharacteristic
676C2×#1055C2411yescharacteristic
677C2×#1055C2411yescharacteristic
678C2×#1055C2411yescharacteristic
679C2×#1055C2411yescharacteristic
680#3475—131no—
681#3475D1311yescharacteristic, complemented
682#3350—131no—
683#3350—131no—
684#3349—131no—
685#3349—131no—
686#3348—131no—
687#3348—131no—
688#3347—131no—
689#3347—131no—
690#3346—131no—
691#3346—131no—
692#3345—131no—
693#3345—131no—
694#3344—131no—
695#3344—131no—
696#3343—131no—
697#3343—131no—
698#3162—131no—
699#3091—131no—
700#3091—131no—
701#3091—131no—
702#3091—131no—
703#3076—131no—
704#3076—131no—
705#3054—131no—
706#3050—131no—
707#2943—131no—
708C2×#435—131no—
709#2911—131no—
710C2×#427—131no—
711C23×C13—22no—
712C23×C13—22no—
713C23×C13—22no—
714C23×C13—21no—
715C23×C13—41no—
716C23×C13—41no—
717C23×C13—41no—
718C23×C13C22×D411yescharacteristic
719C23×C13C22×D411yescharacteristic
720C23×C13C22×D411yescharacteristic
721C23×C13C22×D411yescharacteristic
722C23×C13C22×D411yescharacteristic
723C22×D13—21no—
724Q8×C13—21no—
725Q8×C13—21no—
726Q8×C13—42no—
727Q8×C13—81no—
728D4×C13—22no—
729D4×C13—22no—
730D4×C13—21no—
731D4×C13—21no—
732D4×C13—41no—
733D4×C13—41no—
734D4×C13—42no—
735D4×C13—42no—
736D4×C13—42no—
737D4×C13—81no—
738D4×C13—81no—
739C2×C4×C13—22no—
740C2×C4×C13—22no—
741C2×C4×C13—22no—
742C2×C4×C13—22no—
743C2×C4×C13—22no—
744C2×C4×C13—22no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—21no—
759C2×C4×C13—21no—
760C2×C4×C13—41no—
761C2×C4×C13—41no—
762C2×C4×C13—42no—
763C2×C4×C13—42no—
764C2×C4×C13—42no—
765C2×C4×C13—42no—
766C2×C4×C13—81no—
767C2×C4×C13—81no—
768C2×C4×C13—81no—
769C2×C4×C13C22×D411yescharacteristic
770C2×C4×C13C22×D411yescharacteristic
771C2×C4×C13C22×D411yescharacteristic
772C2×C4×C13C22×D411yescharacteristic
773C2×C4×C13C22×D411yescharacteristic
774C2×C4×C13C22×D411yescharacteristic
775C2×C4×C13C22×D411yescharacteristic
776C2×C4×C13C22×D411yescharacteristic
777C2×C4×C13C22×D411yescharacteristic
778C2×C4×C13C2×#4112yes—
779C2×C4×C132−1+412yes—
780C2×C4×C13C2511yescharacteristic
781C22⋊D13—42no—
782C22⋊D13—42no—
783C22⋊D13—42no—
784C22⋊D13—81no—
785C22⋊D13—81no—
786C2×Dic13—21no—
787C2×Dic13—21no—
788C2×Dic13—21no—
789C2×Dic13—21no—
790C2×Dic13—21no—
791C2×Dic13—21no—
792C2×Dic13—21no—
793C2×Dic13—42no—
794C2×Dic13—42no—
795C2×Dic13—81no—
796C2×Dic13—81no—
797D52—21no—
798D52—21no—
799C4×D13—42no—
800C4×D13—42no—
801C4×D13—81no—
802Dic26—21no—
803Dic26—21no—
804Dic26—42no—
805Dic26—81no—
806#1055—21no—
807#1055—21no—
808#1055—21no—
809#1055—21no—
810#1055—21no—
811#1055—21no—
812#1055C2×#4112yes—
813#1055C2×#4112yes—
814C2×#135—131no—
815C22×M16—131no—
816C23×C8—131no—
817#556—131no—
818#556C2×D1311yescharacteristic
819#555—131no—
820#555C2×D1311yescharacteristic
821#554—131no—
822#554C2×D1311yescharacteristic
823#553—131no—
824#553—131no—
825#553C2×D1311yescharacteristic
826#553C2×D1311yescharacteristic
827#552—21no—
828#552—131no—
829#552—131no—
830#552—261no—
831#552C2×D1311yescharacteristic
832#552C2×D1311yescharacteristic
833#551—21no—
834#551—21no—
835#551—261no—
836#551—261no—
837#547—131no—
838#547C2×D1311yescharacteristic
839#546—21no—
840#546—261no—
841#533—131no—
842#533C2×D1311yescharacteristic
843#529—21no—
844#529—21no—
845#529—21no—
846#529—261no—
847#529—261no—
848#529—261no—
849#525—131no—
850#525—131no—
851#525C2×D1311yescharacteristic
852#525C2×D1311yescharacteristic
853C4×#41—21no—
854C4×#41—131no—
855C4×#41—261no—
856C4×#41C2×D1311yescharacteristic
857C2×C4×D4C2×D1311yescharacteristic
858C2×#117—131no—
859C2×#117—131no—
860C2×#117C2×D1311yescharacteristic
861C2×#117C2×D1311yescharacteristic
862#501—131no—
863#501—131no—
864#501—131no—
865#501—131no—
866#501—131no—
867#501—131no—
868#501—131no—
869#501—131no—
870#485—131no—
871#485—131no—
872#485—131no—
873#485—131no—
874#485—131no—
875#485—131no—
876#485—131no—
877#485—131no—
878#484—131no—
879#484—131no—
880#484—131no—
881#484—131no—
882#483—131no—
883#483—131no—
884#483—131no—
885#483—131no—
886#482—131no—
887#482—131no—
888#482—131no—
889#482—131no—
890#482—131no—
891#482—131no—
892#482—131no—
893#482—131no—
894#481—131no—
895#481—131no—
896#481—131no—
897#481—131no—
898#480—131no—
899#480—131no—
900#480—131no—
901#480—131no—
902#479—131no—
903#479—131no—
904#479—131no—
905#479—131no—
906#478—131no—
907#478—131no—
908#478—131no—
909#478—131no—
910#477—131no—
911#477—131no—
912#476—131no—
913#476—131no—
914#475—131no—
915#475—131no—
916#474—131no—
917#474—131no—
918#470—131no—
919#470—131no—
920#469—131no—
921#469—131no—
922#468—131no—
923#468—131no—
924#468—131no—
925#468—131no—
926#467—131no—
927#467—131no—
928#466—131no—
929#466—131no—
930#465—131no—
931#465—131no—
932#465—131no—
933#465—131no—
934#442—131no—
935#442—131no—
936#441—131no—
937#441—131no—
938#440—131no—
939#440—131no—
940#440—131no—
941#440—131no—
942#435—131no—
943#435—131no—
944#435—131no—
945#435—131no—
946#435—131no—
947#435—131no—
948#435—131no—
949#435—131no—
950#428—131no—
951#428—131no—
952#428—131no—
953#428—131no—
954#428—131no—
955#428—131no—
956#428—131no—
957#428—131no—
958#427—131no—
959#427—131no—
960#427—131no—
961#427—131no—
962#427—131no—
963#427—131no—
964#427—131no—
965#427—131no—
966#427—131no—
967#427—131no—
968#427—131no—
969#427—131no—
970#427—131no—
971C2×#107—131no—
972C2×#107—131no—
973C2×#106—131no—
974C2×#106—131no—
975C2×C4⋊C8—131no—
976#416—131no—
977#416—131no—
978#416—131no—
979#416—131no—
980#416—131no—
981#416—131no—
982C2×C22⋊C8—131no—
983C2×C22⋊C8—131no—
984C2×#97—131no—
985C22×C13—21no—
986C22×C13—21no—
987C22×C13—21no—
988C22×C13—21no—
989C22×C13—21no—
990C22×C13—21no—
991C22×C13—21no—
992C22×C13—21no—
993C22×C13—21no—
994C22×C13—21no—
995C22×C13—21no—
996C22×C13—21no—
997C22×C13—21no—
998C22×C13—44no—
999C22×C13—41no—
1000C22×C13—41no—
1001C22×C13—41no—
1002C22×C13—82no—
1003C22×C13#54712yes—
1004C22×C13#57512yes—
1005C22×C13C23×D411yescharacteristic
1006C2×D13—41no—
1007C2×D13—41no—
1008C2×D13—41no—
1009C4×C13—21no—
1010C4×C13—21no—
1011C4×C13—21no—
1012C4×C13—21no—
1013C4×C13—21no—
1014C4×C13—21no—
1015C4×C13—21no—
1016C4×C13—21no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022C4×C13—41no—
1023C4×C13—41no—
1024C4×C13#54712yes—
1025C4×C13C22×#4111yescharacteristic
1026C4×C13C2×2−1+411yescharacteristic
1027Dic13—41no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034C2×#41—21no—
1035C2×#41—131no—
1036C2×#41—261no—
1037C2×#41C22×D1311yescharacteristic
1038C22×D4C22⋊D1311yescharacteristic
1039C23×C4C22×D1311yescharacteristic
1040C23×C4C22×D1311yescharacteristic
1041#135—264no—
1042C2×Q16—131no—
1043C2×SD16—131no—
1044C2×SD16—131no—
1045C2×D8—131no—
1046C2×M16—131no—
1047C2×M16—131no—
1048C2×M16—131no—
1049C2×M16—131no—
1050C2×M16—264no—
1051C22×C8—131no—
1052C22×C8—131no—
1053C22×C8—131no—
1054C22×C8—131no—
1055C22×C8—131no—
1056C22×C8—131no—
1057C22×C8—131no—
1058C22×C8—131no—
1059C22×C8—264no—
1060C4⋊Q8—131no—
1061C4⋊Q8—131no—
1062C4⋊Q8C22×D1311yescharacteristic
1063C4⋊Q8C22×D1311yescharacteristic
1064#126—21no—
1065#126—21no—
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—261no—
1071#126—261no—
1072#126—261no—
1073#126—261no—
1074#126—261no—
1075#126—261no—
1076#125—21no—
1077#125—21no—
1078#125—21no—
1079#125—131no—
1080#125—131no—
1081#125—261no—
1082#125—261no—
1083#125—261no—
1084#125C22×D1311yescharacteristic
1085#125C22×D1311yescharacteristic
1086#124—21no—
1087#124—21no—
1088#124—21no—
1089#124—261no—
1090#124—261no—
1091#124—261no—
1092#123—21no—
1093#123—21no—
1094#123—21no—
1095#123—21no—
1096#123—21no—
1097#123—21no—
1098#123—21no—
1099#123—21no—
1100#123—261no—
1101#123—261no—
1102#123—261no—
1103#123—261no—
1104#123—261no—
1105#123—261no—
1106#123—261no—
1107#123—261no—
1108C22⋊Q8—21no—
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—21no—
1112C22⋊Q8—21no—
1113C22⋊Q8—131no—
1114C22⋊Q8—131no—
1115C22⋊Q8—131no—
1116C22⋊Q8—131no—
1117C22⋊Q8—261no—
1118C22⋊Q8—261no—
1119C22⋊Q8—261no—
1120C22⋊Q8—261no—
1121C22⋊Q8—261no—
1122C22⋊Q8C22×D1311yescharacteristic
1123C22⋊Q8C22×D1311yescharacteristic
1124C22⋊Q8C22×D1311yescharacteristic
1125C22⋊Q8C22×D1311yescharacteristic
1126#121—21no—
1127#121—21no—
1128#121—21no—
1129#121—131no—
1130#121—131no—
1131#121—131no—
1132#121—131no—
1133#121—261no—
1134#121—261no—
1135#121—261no—
1136#121C22×D1311yescharacteristic
1137#121C22×D1311yescharacteristic
1138#121C22×D1311yescharacteristic
1139#121C22×D1311yescharacteristic
1140#120—21no—
1141#120—21no—
1142#120—261no—
1143#120—261no—
1144C4×Q8—21no—
1145C4×Q8—21no—
1146C4×Q8—21no—
1147C4×Q8—131no—
1148C4×Q8—131no—
1149C4×Q8—261no—
1150C4×Q8—261no—
1151C4×Q8—261no—
1152C4×Q8C22×D1311yescharacteristic
1153C4×Q8C22×D1311yescharacteristic
1154C4×D4—21no—
1155C4×D4—21no—
1156C4×D4—21no—
1157C4×D4—21no—
1158C4×D4—21no—
1159C4×D4—21no—
1160C4×D4—21no—
1161C4×D4—21no—
1162C4×D4—21no—
1163C4×D4—131no—
1164C4×D4—131no—
1165C4×D4—261no—
1166C4×D4—261no—
1167C4×D4—261no—
1168C4×D4—261no—
1169C4×D4—261no—
1170C4×D4—261no—
1171C4×D4—261no—
1172C4×D4—261no—
1173C4×D4—261no—
1174C4×D4C22⋊D1311yescharacteristic
1175C4×D4C22⋊D1311yescharacteristic
1176C4×D4C22⋊D1311yescharacteristic
1177C4×D4C22⋊D1311yescharacteristic
1178C4×D4C22×D1311yescharacteristic
1179C4×D4C22×D1311yescharacteristic
1180C4×D4C22×D1311yescharacteristic
1181C4×D4C22×D1311yescharacteristic
1182C4×D4C22×D1311yescharacteristic
1183C4×D4C22×D1311yescharacteristic
1184#117—21no—
1185#117—21no—
1186#117—21no—
1187#117—21no—
1188#117—21no—
1189#117—21no—
1190#117—21no—
1191#117—21no—
1192#117—131no—
1193#117—131no—
1194#117—131no—
1195#117—131no—
1196#117—131no—
1197#117—131no—
1198#117—131no—
1199#117—261no—
1200#117—261no—
1201#117—261no—
1202#117—261no—
1203#117—261no—
1204#117—261no—
1205#117—261no—
1206#117—261no—
1207#117C22×D1311yescharacteristic
1208#117C22×D1311yescharacteristic
1209#117C22×D1311yescharacteristic
1210#117C22×D1311yescharacteristic
1211#117C22×D1311yescharacteristic
1212#117C22×D1311yescharacteristic
1213#117C22×D1311yescharacteristic
1214C2×C4⋊C4—131no—
1215C2×C4⋊C4—131no—
1216C2×C4⋊C4—131no—
1217C2×C4⋊C4—131no—
1218C2×C4⋊C4C22⋊D1311yescharacteristic
1219C2×C4⋊C4C22×D1311yescharacteristic
1220C2×C4⋊C4C22×D1311yescharacteristic
1221C2×C4⋊C4C22×D1311yescharacteristic
1222C2×C4⋊C4C22×D1311yescharacteristic
1223C2×C22⋊C4—21no—
1224C2×C22⋊C4—21no—
1225C2×C22⋊C4—261no—
1226C2×C22⋊C4—261no—
1227C2×C22⋊C4C22⋊D1311yescharacteristic
1228C2×C22⋊C4C22⋊D1311yescharacteristic
1229C2×C42—21no—
1230C2×C42—21no—
1231C2×C42—21no—
1232C2×C42—261no—
1233C2×C42—261no—
1234C2×C42—261no—
1235C2×C42C22×D1311yescharacteristic
1236#107—131no—
1237#107—131no—
1238#107—131no—
1239#107—131no—
1240#107—131no—
1241#107—131no—
1242#107—131no—
1243#107—131no—
1244#107—131no—
1245#107—131no—
1246#107—131no—
1247#107—131no—
1248#107—131no—
1249#107—131no—
1250#107—131no—
1251#107—131no—
1252#107—131no—
1253#107—131no—
1254#106—131no—
1255#106—131no—
1256#106—131no—
1257#106—131no—
1258#106—131no—
1259#106—131no—
1260#106—131no—
1261#106—131no—
1262#106—131no—
1263#106—131no—
1264#106—131no—
1265#106—131no—
1266#106—131no—
1267#106—131no—
1268#106—131no—
1269#106—131no—
1270#106—131no—
1271#106—131no—
1272C4⋊C8—131no—
1273C4⋊C8—131no—
1274C4⋊C8—131no—
1275C4⋊C8—131no—
1276#103—131no—
1277#103—131no—
1278#103—131no—
1279#103—131no—
1280#103—131no—
1281#103—131no—
1282#103—131no—
1283#103—131no—
1284#103—131no—
1285#103—131no—
1286#103—131no—
1287#103—131no—
1288#102—131no—
1289#102—131no—
1290#102—131no—
1291#102—131no—
1292#102—131no—
1293#102—131no—
1294#102—131no—
1295#102—131no—
1296#102—131no—
1297#102—131no—
1298#102—131no—
1299#102—131no—
1300C22⋊C8—131no—
1301C22⋊C8—131no—
1302C22⋊C8—131no—
1303C22⋊C8—131no—
1304C22⋊C8—131no—
1305C22⋊C8—131no—
1306C22⋊C8—131no—
1307C22⋊C8—131no—
1308#97—131no—
1309#97—131no—
1310#97—131no—
1311#97—131no—
1312C2×C13—22no—
1313C2×C13—22no—
1314C2×C13—41no—
1315C2×C13—41no—
1316C2×C13—41no—
1317C2×C13—81no—
1318C2×C13C2×#54711yescharacteristic
1319C2×C13C2×#57511yescharacteristic
1320C2×C13#358411yescharacteristic
1321D13—81no—
1322C24C2×C22⋊D1311yescharacteristic
1323C24C2×C22⋊D1311yescharacteristic
1324#41—22no—
1325#41—22no—
1326#41—44no—
1327#41—262no—
1328#41—262no—
1329#41—524no—
1330C2×Q8—21no—
1331C2×Q8—21no—
1332C2×Q8—131no—
1333C2×Q8—261no—
1334C2×Q8—261no—
1335C2×Q8C23×D1311yescharacteristic
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—42no—
1342C2×D4—131no—
1343C2×D4—261no—
1344C2×D4—261no—
1345C2×D4—261no—
1346C2×D4—261no—
1347C2×D4—261no—
1348C2×D4C2×C22⋊D1311yescharacteristic
1349C2×D4C2×C22⋊D1311yescharacteristic
1350C2×D4C2×C22⋊D1311yescharacteristic
1351C2×D4C2×C22⋊D1311yescharacteristic
1352C2×D4C23×D1311yescharacteristic
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—261no—
1365C22×C4—261no—
1366C22×C4—261no—
1367C22×C4—261no—
1368C22×C4—261no—
1369C22×C4—261no—
1370C22×C4—261no—
1371C22×C4C2×C22⋊D1311yescharacteristic
1372C22×C4C2×C22⋊D1311yescharacteristic
1373C22×C4C2×C22⋊D1311yescharacteristic
1374C22×C4C2×C22⋊D1311yescharacteristic
1375C22×C4C2×C22⋊D1311yescharacteristic
1376C22×C4C2×C22⋊D1311yescharacteristic
1377C22×C4C2×C22⋊D1311yescharacteristic
1378C22×C4C2×C22⋊D1311yescharacteristic
1379C22×C4C23×D1311yescharacteristic
1380C22×C4C23×D1311yescharacteristic
1381C22×C4C23×D1311yescharacteristic
1382C22×C4C23×D1311yescharacteristic
1383C22×C4C23×D1311yescharacteristic
1384Q16—262no—
1385SD16—262no—
1386SD16—262no—
1387D8—262no—
1388M16—262no—
1389M16—262no—
1390M16—262no—
1391M16—262no—
1392C2×C8—134no—
1393C2×C8—131no—
1394C2×C8—131no—
1395C2×C8—131no—
1396C2×C8—131no—
1397C2×C8—131no—
1398C2×C8—131no—
1399C2×C8—131no—
1400C2×C8—131no—
1401C2×C8—262no—
1402C2×C8—262no—
1403C2×C8—262no—
1404C2×C8—262no—
1405C2×C8—262no—
1406C2×C8—262no—
1407C2×C8—262no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—131no—
1425C4⋊C4—131no—
1426C4⋊C4—131no—
1427C4⋊C4—131no—
1428C4⋊C4—131no—
1429C4⋊C4—131no—
1430C4⋊C4—261no—
1431C4⋊C4—261no—
1432C4⋊C4—261no—
1433C4⋊C4—261no—
1434C4⋊C4—261no—
1435C4⋊C4—261no—
1436C4⋊C4—261no—
1437C4⋊C4—261no—
1438C4⋊C4—261no—
1439C4⋊C4—261no—
1440C4⋊C4—261no—
1441C4⋊C4—261no—
1442C4⋊C4—261no—
1443C4⋊C4—261no—
1444C4⋊C4—261no—
1445C4⋊C4—261no—
1446C4⋊C4C2×C22⋊D1311yescharacteristic
1447C4⋊C4C2×C22⋊D1311yescharacteristic
1448C4⋊C4C2×C22⋊D1311yescharacteristic
1449C4⋊C4C2×C22⋊D1311yescharacteristic
1450C4⋊C4C23×D1311yescharacteristic
1451C4⋊C4C23×D1311yescharacteristic
1452C4⋊C4C23×D1311yescharacteristic
1453C4⋊C4C23×D1311yescharacteristic
1454C4⋊C4C23×D1311yescharacteristic
1455C4⋊C4C23×D1311yescharacteristic
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
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—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—261no—
1484C22⋊C4—261no—
1485C22⋊C4—261no—
1486C22⋊C4—261no—
1487C22⋊C4—261no—
1488C22⋊C4—261no—
1489C22⋊C4—261no—
1490C22⋊C4C2×C22⋊D1311yescharacteristic
1491C22⋊C4C2×C22⋊D1311yescharacteristic
1492C22⋊C4C2×C22⋊D1311yescharacteristic
1493C22⋊C4C2×C22⋊D1311yescharacteristic
1494C22⋊C4C2×C22⋊D1311yescharacteristic
1495C22⋊C4C2×C22⋊D1311yescharacteristic
1496C22⋊C4C2×C22⋊D1311yescharacteristic
1497C22⋊C4C2×C22⋊D1311yescharacteristic
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—261no—
1508C42—261no—
1509C42—261no—
1510C42—261no—
1511C42—261no—
1512C42—261no—
1513C42—261no—
1514C42—261no—
1515C42—261no—
1516C42C2×C22⋊D1311yescharacteristic
1517C42C2×C22⋊D1311yescharacteristic
1518C42C23×D1311yescharacteristic
1519C42C23×D1311yescharacteristic
1520C13#6124311yescharacteristic, complemented, Sylow
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—21no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—261no—
1529C23C22×C22⋊D1311yescharacteristic
1530C23C22×C22⋊D1311yescharacteristic
1531C23C22×C22⋊D1311yescharacteristic
1532C23C22×C22⋊D1311yescharacteristic
1533C23C22×C22⋊D1311yescharacteristic
1534Q8—21no—
1535Q8—21no—
1536Q8—42no—
1537Q8—81no—
1538Q8—261no—
1539Q8—261no—
1540Q8—522no—
1541Q8—1041no—
1542D4—22no—
1543D4—22no—
1544D4—21no—
1545D4—21no—
1546D4—41no—
1547D4—41no—
1548D4—42no—
1549D4—42no—
1550D4—42no—
1551D4—81no—
1552D4—81no—
1553D4—261no—
1554D4—261no—
1555D4—522no—
1556D4—522no—
1557D4—522no—
1558D4—1041no—
1559D4—1041no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—42no—
1584C2×C4—42no—
1585C2×C4—42no—
1586C2×C4—42no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—522no—
1598C2×C4—522no—
1599C2×C4—522no—
1600C2×C4—522no—
1601C2×C4—1041no—
1602C2×C4—1041no—
1603C2×C4—1041no—
1604C2×C4#41×D1312yes—
1605C2×C4#8825712yes—
1606C2×C4C22×C22⋊D1311yescharacteristic
1607C2×C4C22×C22⋊D1311yescharacteristic
1608C2×C4C22×C22⋊D1311yescharacteristic
1609C2×C4C22×C22⋊D1311yescharacteristic
1610C2×C4C22×C22⋊D1311yescharacteristic
1611C2×C4C22×C22⋊D1311yescharacteristic
1612C2×C4C22×C22⋊D1311yescharacteristic
1613C2×C4C22×C22⋊D1311yescharacteristic
1614C2×C4C22×C22⋊D1311yescharacteristic
1615C2×C4C24×D1311yescharacteristic
1616C8—132no—
1617C8—132no—
1618C8—261no—
1619C8—261no—
1620C8—261no—
1621C8—261no—
1622C8—261no—
1623C8—261no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—21no—
1631C22—21no—
1632C22—21no—
1633C22—21no—
1634C22—21no—
1635C22—21no—
1636C22—21no—
1637C22—44no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—82no—
1642C22—521no—
1643C22—521no—
1644C22—521no—
1645C22#1171952712yes—
1646C22#1171952912yes—
1647C22C23×C22⋊D1311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—521no—
1664C4—521no—
1665C4—521no—
1666C4—521no—
1667C4—521no—
1668C4—521no—
1669C4—521no—
1670C4#1171952912yes—
1671C4C2×#41×D1311yescharacteristic
1672C4C2×#8825711yescharacteristic
1673C2—22no—
1674C2—22no—
1675C2—41no—
1676C2—41no—
1677C2—41no—
1678C2—81no—
1679C2—1041no—
1680C2C2×#1171952911yescharacteristic
1681C2C2×#1171952711yescharacteristic
1682C2#1312960711yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3475C2
socleC22×C13C23×D4
hypercenter#3475D13
hypocenterC13#61243
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. #13128394C2semidirect
2. #13127381C2semidirect
3. #13127375C2semidirect
4. #13127366C2semidirect
5. #13127360C2semidirect
6. #13127351C2semidirect
7. #13127345C2semidirect
8. #13127336C2semidirect
9. #13127330C2semidirect
10. #13127321C2semidirect
11. #13127315C2semidirect
12. #13127306C2semidirect
13. #13127300C2semidirect
14. #13127291C2semidirect
15. #13127285C2semidirect
16. #13127276C2semidirect
17. #13127270C2semidirect
18. #13125358C2semidirect
19. #13124749C2semidirect
20. #13124749C2semidirect
21. #13124745C2semidirect
22. #13124745C2semidirect
23. #13124624C2semidirect
24. #13124618C2semidirect
25. #13124442C2semidirect
26. #13124414C2semidirect
27. #13123634C2semidirect
28. C2×#11718672C2semidirect
29. #13123425C2semidirect
30. C2×#11718659C2semidirect
31. C13×#3475C2semidirect
85. #11718755C22semidirect
86. #11718752C22semidirect
87. #11718748C22semidirect
88. #11718745C22semidirect
89. #11718741C22semidirect
90. #11718741C22semidirect
91. #11718741C22semidirect
92. #11718741C22semidirect
93. #11718727C22semidirect
94. #11718727C22semidirect
95. #11718726C22semidirect
96. #11718726C22semidirect
97. #11718726C22semidirect
98. #11718726C22semidirect
99. #11718724C22semidirect
100. #11718724C22semidirect
101. #11718713C22semidirect
102. #11718713C22semidirect
103. #11718712C22semidirect
104. #11718712C22semidirect
105. #11718710C22semidirect
106. #11718710C22semidirect
107. #11718709C22semidirect
108. #11718709C22semidirect
109. #11718706C22semidirect
110. #11718706C22semidirect
111. #11718706C22semidirect
112. #11718706C22semidirect
113. #11718705C22semidirect
114. #11718705C22semidirect
115. #11718704C22semidirect
116. #11718704C22semidirect
117. #11718703C22semidirect
118. #11718703C22semidirect
119. #11718702C22semidirect
120. #11718702C22semidirect
121. #11718700C22semidirect
122. #11718700C22semidirect
123. #11718699C22semidirect
124. #11718699C22semidirect
125. #11718696C22semidirect
126. #11718696C22semidirect
127. #11718696C22semidirect
128. #11718696C22semidirect
129. #11718695C22semidirect
130. #11718695C22semidirect
131. #11718694C22semidirect
132. #11718694C22semidirect
133. #11718691C22semidirect
134. #11718691C22semidirect
135. #11718687C22semidirect
136. #11718687C22semidirect
137. #11718683C22semidirect
138. #11718683C22semidirect
139. #11718682C22semidirect
140. #11718681C22semidirect
141. #11718679C22semidirect
142. #11718679C22semidirect
143. #11718675C22semidirect
144. #11718675C22semidirect
153. #11718670C22semidirect
154. #11718670C22semidirect
155. #11718669C22semidirect
156. #11718668C22semidirect
157. #11718664C22semidirect
158. #11718664C22semidirect
159. #11718664C22semidirect
160. #11718664C22semidirect
173. #11718659C22semidirect
174. #11718659C22semidirect
175. #11718659C22semidirect
176. #11718659C22semidirect
177. #11718657C22semidirect
178. #11718657C22semidirect
179. #11718657C22semidirect
180. #11718657C22semidirect
181. #11718656C22semidirect
182. #11718656C22semidirect
183. #11718656C22semidirect
184. #11718656C22semidirect
185. #11718632C22semidirect
186. #11718632C22semidirect
187. #11718631C22semidirect
188. #11718631C22semidirect
189. #11718629C22semidirect
190. #11718629C22semidirect
191. #11718628C22semidirect
192. #11718628C22semidirect
193. #11718625C22semidirect
194. #11718625C22semidirect
195. #11718625C22semidirect
196. #11718625C22semidirect
197. C2×#88048C22semidirect
198. C2×#88048C22semidirect
199. C2×#88047C22semidirect
200. C2×#88047C22semidirect
671. C2×#1055#41semidirect
681. #3475D13semidirect
1520. C13#61243semidirect

Maximal subgroups

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

subgroupindex
#131283942
#131273812
#131273752
#131273662
#131273602
#131273512
#131273452
#131273362
#131273302
#131273212
#131273152
#131273062
#131273002
#131272912
#131272852
#131272762
#131272702
#131253582
#131247492
#131247452
#131246242
#131246182
#131244422
#131244142
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C2×#117186722
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C13×#34752
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