Finite Group Databasebeta

← #16744903

Subgroups — #16744903

Order 3328.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128440C211yesmaximal, characteristic, complemented
2#13128394C211yesmaximal, characteristic, complemented
3#13127907C211yesmaximal, characteristic, complemented
4#13127795C211yesmaximal, characteristic, complemented
5#13127664C211yesmaximal, characteristic, complemented
6#13127594C211yesmaximal, characteristic, complemented
7#13127341C211yesmaximal, characteristic, complemented
8#13127287C211yesmaximal, characteristic, complemented
9#13127211C211yesmaximal, characteristic, complemented
10#13126997C211yesmaximal, characteristic, complemented
11#13126913C211yesmaximal, characteristic, complemented
12#13126853C211yesmaximal, characteristic, complemented
13#13126817C211yesmaximal, characteristic, complemented
14#13126682C211yesmaximal, characteristic, complemented
15#13126667C211yesmaximal, characteristic, complemented
16#13126521C211yesmaximal, characteristic, complemented
17#13126363C211yesmaximal, characteristic, complemented
18#13126316C211yesmaximal, characteristic, complemented
19#13125563C211yesmaximal, characteristic, complemented
20#13125545C211yesmaximal, characteristic, complemented
21#13125532C211yesmaximal, characteristic, complemented
22#13124983C211yesmaximal, characteristic, complemented
23#13124974C211yesmaximal, characteristic, complemented
24#13124972C211yesmaximal, characteristic, complemented
25#13124941C211yesmaximal, characteristic, complemented
26#13124941C211yesmaximal, characteristic, complemented
27#13124935C211yesmaximal, characteristic, complemented
28#13123847C211yesmaximal, characteristic, complemented
29#13123647C211yesmaximal, characteristic, complemented
30#13123633C211yesmaximal, characteristic, complemented
31C2×C13×#442C211yesmaximal, characteristic, complemented
32C22×C13×D8C2211yescharacteristic
33C2×C4×D4×C13C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic, complemented
35#11719511C2211yescharacteristic
36#11719511C2211yescharacteristic
37#11719511C2211yescharacteristic, complemented
38D4×C22⋊D13C2211yescharacteristic
39#11719496—21no—
40#11719496—21no—
41C2×C4×C22⋊D13—21no—
42C2×#88180—21no—
43C2×#88166C2211yescharacteristic
44C2×#88165C2211yescharacteristic
45#11719270—21no—
46#11719268C2211yescharacteristic, complemented
47#11719264C2211yescharacteristic, complemented
48#11719263C2211yescharacteristic, complemented
49#11719262C2211yescharacteristic, complemented
50#11719262C2211yescharacteristic, complemented
51#11719262C2211yescharacteristic, complemented
52#11719261—21no—
53#11719260C2211yescharacteristic, complemented
54#11719259C2211yescharacteristic, complemented
55#11719253C2211yescharacteristic, complemented
56#11719252—21no—
57C4×D4×D13C2211yescharacteristic, complemented
58#11719248C2211yescharacteristic, complemented
59#11719247C2211yescharacteristic, complemented
60#11719246—21no—
61#11719245—21no—
62#11719244C2211yescharacteristic, complemented
63#11719243—21no—
64#11719243—21no—
65#11719243—21no—
66C4×#6129C2211yescharacteristic, complemented
67C4×#6129C2211yescharacteristic, complemented
68C4×#6129C2211yescharacteristic, complemented
69#11719219C2211yescharacteristic
70#11719218C2211yescharacteristic
71#11719218C2211yescharacteristic, complemented
72#11719216C2211yescharacteristic
73#11719200—21no—
74#11719200—21no—
75#11719200—21no—
76#11719195—21no—
77#11719184C2211yescharacteristic
78C4×#6127C2211yescharacteristic
79#11719175C2211yescharacteristic, complemented
80C13×#442C2211yescharacteristic
81C13×#442C2211yescharacteristic
82C13×#442C2211yescharacteristic
83C13×#442C2211yescharacteristic
84C13×#442C2211yescharacteristic, complemented
85C13×#442C2211yescharacteristic, complemented
86C13×#442C2211yescharacteristic, complemented
87C13×#442C2211yescharacteristic, complemented
88C2×C13×#106C2211yescharacteristic, complemented
89C2×C13×#102C2211yescharacteristic
90C2×C13×#102C2211yescharacteristic, complemented
91C2×C13×#97C2211yescharacteristic, complemented
92#11718879C2211yescharacteristic
93#11718879C2211yescharacteristic
94#11718879C2211yescharacteristic, complemented
95#11718878C2211yescharacteristic
96#11718820C2211yescharacteristic
97#11718819C2211yescharacteristic
98#11718819C2211yescharacteristic
99#11718819C2211yescharacteristic, complemented
100#11718818C2211yescharacteristic, complemented
101#11718817C2211yescharacteristic
102#11718816C2211yescharacteristic, complemented
103#11718815C2211yescharacteristic
104#11718814C2211yescharacteristic
105#11718814C2211yescharacteristic
106#11718814C2211yescharacteristic, complemented
107#11718813C2211yescharacteristic
108#11718811C2211yescharacteristic
109D8×Dic13C2211yescharacteristic
110#11718777C2211yescharacteristic, complemented
111#11718777C2211yescharacteristic, complemented
112#11718775C2211yescharacteristic
113#11718775C2211yescharacteristic
114#11718772C2211yescharacteristic
115#11718772C2211yescharacteristic
116C8×C22⋊D13C2211yescharacteristic, complemented
117C8×C22⋊D13C2211yescharacteristic, complemented
118#11718680C2211yescharacteristic, complemented
119#11718680C2211yescharacteristic, complemented
120#11718679C2211yescharacteristic, complemented
121#11718679C2211yescharacteristic, complemented
122#11718679C2211yescharacteristic, complemented
123#11718679C2211yescharacteristic, complemented
124#11718679C2211yescharacteristic, complemented
125#11718679C2211yescharacteristic, complemented
126#11718677C2211yescharacteristic, complemented
127#11718677C2211yescharacteristic, complemented
128#11718675C2211yescharacteristic, complemented
129#11718675C2211yescharacteristic, complemented
130#11718670C2211yescharacteristic, complemented
131#11718670C2211yescharacteristic, complemented
132#11718668C2211yescharacteristic, complemented
133#11718668C2211yescharacteristic, complemented
134#11718632C2211yescharacteristic, complemented
135#11718631C2211yescharacteristic, complemented
136#11718631C2211yescharacteristic, complemented
137#11718628C2211yescharacteristic
138#11718587C2211yescharacteristic, complemented
139#11718532C2211yescharacteristic, complemented
140#11718529C2211yescharacteristic, complemented
141#11718528C2211yescharacteristic, complemented
142#11718528C2211yescharacteristic, complemented
143#11718527C2211yescharacteristic, complemented
144#11718525C2211yescharacteristic, complemented
145#11718523C2211yescharacteristic, complemented
146#11718522C2211yescharacteristic, complemented
147#11718521C2211yescharacteristic, complemented
148#11718519C2211yescharacteristic, complemented
149#11718518C2211yescharacteristic, complemented
150#11718518C2211yescharacteristic, complemented
151#11718517C2211yescharacteristic, complemented
152#11718515C2211yescharacteristic, complemented
153#11718514C2211yescharacteristic, complemented
154#11718513C2211yescharacteristic, complemented
155#11718448C2211yescharacteristic, complemented
156#11718445C2211yescharacteristic, complemented
157#11718444C2211yescharacteristic, complemented
158#11718444C2211yescharacteristic, complemented
159#11718442C2211yescharacteristic, complemented
160#11718441C2211yescharacteristic, complemented
161#11718441C2211yescharacteristic, complemented
162#11718440C2211yescharacteristic, complemented
163#11718440C2211yescharacteristic, complemented
164#11718439C2211yescharacteristic, complemented
165#11718437C2211yescharacteristic, complemented
166#11718436C2211yescharacteristic, complemented
167#11718435C2211yescharacteristic, complemented
168#11718433C2211yescharacteristic, complemented
169#11718433C2211yescharacteristic, complemented
170#11718432C2211yescharacteristic, complemented
171#11718431C2211yescharacteristic, complemented
172#11718429C2211yescharacteristic, complemented
173#11718429C2211yescharacteristic, complemented
174#11718428C2211yescharacteristic, complemented
175#11718428C2211yescharacteristic, complemented
176#11718427C2211yescharacteristic, complemented
177#11718426C2211yescharacteristic, complemented
178#11718425C2211yescharacteristic, complemented
179#11718424C2211yescharacteristic, complemented
180#11718424C2211yescharacteristic, complemented
181#11718423C2211yescharacteristic, complemented
182#11718420C2211yescharacteristic, complemented
183#11718419C2211yescharacteristic, complemented
184#11718418C2211yescharacteristic, complemented
185#11718418C2211yescharacteristic, complemented
186#11718417C2211yescharacteristic, complemented
187#11718377C2211yescharacteristic, complemented
188#11718377C2211yescharacteristic, complemented
189#11718376C2211yescharacteristic, complemented
190#11718375C2211yescharacteristic, complemented
191#11718371C2211yescharacteristic, complemented
192#11718371C2211yescharacteristic, complemented
193#11718368C2211yescharacteristic, complemented
194#11718367C2211yescharacteristic, complemented
195#11718367C2211yescharacteristic, complemented
196#11718366C2211yescharacteristic, complemented
197#11718366C2211yescharacteristic, complemented
198D13×#97C2211yescharacteristic, complemented
199#11718364C2211yescharacteristic, complemented
200#11718363C2211yescharacteristic, complemented
201#11718362C2211yescharacteristic, complemented
202#11718362C2211yescharacteristic, complemented
203C22×D4×C13C2311yescharacteristic
204C22×D4×C13C2311yescharacteristic
205C23×C4×C13—21no—
206C23×C4×C13—21no—
207C22×C22⋊D13—21no—
208C2×#6129C2311yescharacteristic
209C2×#6129C2311yescharacteristic
210C2×#6129C2311yescharacteristic
211C2×D4×D13C2311yescharacteristic
212C2×#6127—21no—
213C2×#6127D411yescharacteristic
214C22×C4×D13—21no—
215C2×C13×D8—24no—
216C2×C13×D8C2311yescharacteristic
217C2×C13×D8C2311yescharacteristic
218C2×C13×D8C2311yescharacteristic
219C2×C13×D8C2311yescharacteristic
220C22×C8×C13C2311yescharacteristic
221C22×C8×C13C2311yescharacteristic
222C4×D4×C13—21no—
223C4×D4×C13—21no—
224C4×D4×C13—21no—
225C4×D4×C13—21no—
226C4×D4×C13C2311yescharacteristic
227C4×D4×C13C2311yescharacteristic
228C4×D4×C13C2311yescharacteristic
229C4×D4×C13C2311yescharacteristic
230C4×D4×C13C2311yescharacteristic
231C4×D4×C13C2311yescharacteristic
232C4×D4×C13C2311yescharacteristic
233C4×D4×C13C2311yescharacteristic
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4—21no—
237C2×C13×C22⋊C4—21no—
238C2×C42×C13C2311yescharacteristic
239#88207—21no—
240#88207—21no—
241#88207—21no—
242#88207—21no—
243C2×C22⋊Dic13—21no—
244C2×C22⋊Dic13—21no—
245C2×C22⋊Dic13—21no—
246#88194C2311yescharacteristic
247#88193—21no—
248#88193—21no—
249#88193—21no—
250#88193—21no—
251#88192C2311yescharacteristic
252#88192C2311yescharacteristic
253#88192C2311yescharacteristic
254#88192C2311yescharacteristic
255#88191—21no—
256#88190C2311yescharacteristic
257#88190C2311yescharacteristic
258#88190C2311yescharacteristic
259#88189—21no—
260#88189—21no—
261#88189—21no—
262D4×Dic13C2311yescharacteristic
263D4×Dic13C2311yescharacteristic
264D4×Dic13C2311yescharacteristic
265D4×Dic13C2311yescharacteristic
266C2×#6105C2311yescharacteristic
267C2×#6105C2311yescharacteristic
268C2×#6105C2311yescharacteristic
269C2×#6105C2311yescharacteristic
270C2×#6105C2311yescharacteristic
271C2×#6105C2311yescharacteristic
272C2×#6104C2311yescharacteristic
273C2×#6104C2311yescharacteristic
274#88184—21no—
275#88184—21no—
276#88184—21no—
277#88184—21no—
278#88184C2311yescharacteristic
279#88183—21no—
280#88183—21no—
281#88183—21no—
282#88183—21no—
283#88183—21no—
284C4×C22⋊D13—21no—
285C4×C22⋊D13—21no—
286C4×C22⋊D13—21no—
287C4×C22⋊D13—21no—
288C4×C22⋊D13—21no—
289C4×C22⋊D13—21no—
290C4×C22⋊D13—21no—
291C4×C22⋊D13—21no—
292C4×C22⋊D13—21no—
293C4×C22⋊D13—21no—
294C4×C22⋊D13—21no—
295C4×C22⋊D13—21no—
296C4×C22⋊D13—21no—
297C4×C22⋊D13D411yescharacteristic
298C4×C22⋊D13D411yescharacteristic
299C4×C22⋊D13C2311yescharacteristic
300C4×C22⋊D13C2311yescharacteristic
301C2×#6103—21no—
302#88180—21no—
303#88180—21no—
304#88180—21no—
305#88180—21no—
306#88180—21no—
307#88180—21no—
308#88180—21no—
309#88180—21no—
310#88180D411yescharacteristic
311C2×C4⋊Dic13—21no—
312C2×C4⋊Dic13—21no—
313#88178—21no—
314#88178—21no—
315#88178—21no—
316#88178—21no—
317#88178—21no—
318#88178C2311yescharacteristic
319#88178C2311yescharacteristic
320#88178C2311yescharacteristic
321C2×#6101—21no—
322C2×C4×Dic13—21no—
323C2×C4×Dic13—21no—
324C2×C4×Dic13—21no—
325#88166—24no—
326#88165—24no—
327C2×Dic52C2311yescharacteristic
328C2×Dic52C2311yescharacteristic
329C2×#6095C2311yescharacteristic
330C2×#6095C2311yescharacteristic
331C2×#6094C2311yescharacteristic
332C2×#6094C2311yescharacteristic
333C2×C8×D13C2311yescharacteristic
334C2×C8×D13C2311yescharacteristic
335#88152—21no—
336#88152—21no—
337#88152—21no—
338#88151C2311yescharacteristic
339#88151C2311yescharacteristic
340#88151C2311yescharacteristic
341#88150—21no—
342#88149C2311yescharacteristic
343#88148—21no—
344#88147C2311yescharacteristic
345#88146C2311yescharacteristic
346#88146C2311yescharacteristic
347#88146C2311yescharacteristic
348C4⋊C4×D13C2311yescharacteristic
349#88144C2311yescharacteristic
350#88144C2311yescharacteristic
351#88144C2311yescharacteristic
352#88143—21no—
353#88143—21no—
354#88143—21no—
355#88142C2311yescharacteristic
356#88141C2311yescharacteristic
357#88141C2311yescharacteristic
358#88141C2311yescharacteristic
359#88140—21no—
360#88140—21no—
361#88140—21no—
362#88139—21no—
363#88139—21no—
364#88139—21no—
365#88139—21no—
366#88138—21no—
367#88138—21no—
368#88137—21no—
369#88137—21no—
370#88137—21no—
371#88137—21no—
372#88136—21no—
373#88135—21no—
374#88135—21no—
375#88135—21no—
376#88135—21no—
377C22⋊C4×D13—21no—
378#88133—21no—
379#88133—21no—
380#88133—21no—
381#88133—21no—
382#88133—21no—
383#88133—21no—
384#88132—21no—
385#88132—21no—
386#88132—21no—
387#88132—21no—
388#88131—21no—
389#88131—21no—
390#88131—21no—
391#88130—21no—
392#88129C2311yescharacteristic
393C4×D52D411yescharacteristic
394C4×D52C2311yescharacteristic
395C4×D52C2311yescharacteristic
396#88126—21no—
397#88126D411yescharacteristic
398#88126D411yescharacteristic
399C42×D13C2311yescharacteristic
400C42×D13C2311yescharacteristic
401#88124—21no—
402#88124C2311yescharacteristic
403#88123C2311yescharacteristic
404#88123C2311yescharacteristic
405C4×Dic26—21no—
406C4×Dic26D411yescharacteristic
407C4×Dic26C2311yescharacteristic
408C4×Dic26C2311yescharacteristic
409C4×Dic26C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411C13×#106C2311yescharacteristic
412C13×#106C2311yescharacteristic
413C13×#106C2311yescharacteristic
414C13×#106C2311yescharacteristic
415C13×#102C2311yescharacteristic
416C13×#102C2311yescharacteristic
417C13×#102C2311yescharacteristic
418C13×#102C2311yescharacteristic
419C13×#102C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×#102C2311yescharacteristic
422C13×#102C2311yescharacteristic
423C13×#97C2311yescharacteristic
424C13×#97C2311yescharacteristic
425C13×#97C2311yescharacteristic
426C13×#97C2311yescharacteristic
427#88072C2311yescharacteristic
428#88072C2311yescharacteristic
429#88072C2311yescharacteristic
430#88072C2311yescharacteristic
431#88072C2311yescharacteristic
432#88072C2311yescharacteristic
433#88072C2311yescharacteristic
434#88072C2311yescharacteristic
435C22⋊#1055C2311yescharacteristic
436C22⋊#1055C2311yescharacteristic
437#88061C2311yescharacteristic
438#88061C2311yescharacteristic
439#88060C2311yescharacteristic
440#88060C2311yescharacteristic
441#88060C2311yescharacteristic
442#88060C2311yescharacteristic
443#88058C2311yescharacteristic
444#88058C2311yescharacteristic
445#88057C2311yescharacteristic
446#88057C2311yescharacteristic
447#88056C2311yescharacteristic
448#88056C2311yescharacteristic
449#88056C2311yescharacteristic
450#88056C2311yescharacteristic
451#88056C2311yescharacteristic
452#88056C2311yescharacteristic
453#88055C2311yescharacteristic
454#88055C2311yescharacteristic
455#88054C2311yescharacteristic
456#88054C2311yescharacteristic
457#88054C2311yescharacteristic
458#88054C2311yescharacteristic
459C8×Dic13C2311yescharacteristic
460C8×Dic13C2311yescharacteristic
461#88050C2311yescharacteristic
462#88050C2311yescharacteristic
463#88050C2311yescharacteristic
464#88050C2311yescharacteristic
465#88050C2311yescharacteristic
466#88050C2311yescharacteristic
467#88049C2311yescharacteristic
468#88049C2311yescharacteristic
469#88048C2311yescharacteristic
470#88048C2311yescharacteristic
471#88047C2311yescharacteristic
472#88047C2311yescharacteristic
473#88047C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476#88047C2311yescharacteristic
477C4⋊#1055C2311yescharacteristic
478C4⋊#1055C2311yescharacteristic
479#88043C2311yescharacteristic
480#88043C2311yescharacteristic
481#61454—131nomaximal, Sylow
482C24×C13—21no—
483C24×C13—21no—
484C23×D13—21no—
485C2×D4×C13—22no—
486C2×D4×C13—22no—
487C2×D4×C13—21no—
488C2×D4×C13—21no—
489C2×D4×C13—41no—
490C2×D4×C13—41no—
491C2×D4×C13C2411yescharacteristic
492C2×D4×C13C2411yescharacteristic
493C2×D4×C13C2411yescharacteristic
494C2×D4×C13C2411yescharacteristic
495C22×C4×C13—21no—
496C22×C4×C13—21no—
497C22×C4×C13—21no—
498C22×C4×C13—21no—
499C22×C4×C13—21no—
500C22×C4×C13—21no—
501C22×C4×C13—21no—
502C22×C4×C13—21no—
503C22×C4×C13—21no—
504C22×C4×C13—21no—
505C22×C4×C13—44no—
506C22×C4×C13—82no—
507C22×C4×C13C2×D411yescharacteristic
508C22×C4×C13C2×D411yescharacteristic
509C22×C4×C13C2411yescharacteristic
510C2×C22⋊D13—21no—
511C2×C22⋊D13—21no—
512C2×C22⋊D13—21no—
513C2×C22⋊D13—21no—
514C2×C22⋊D13—21no—
515C2×C22⋊D13—21no—
516C2×C22⋊D13—21no—
517C2×C22⋊D13—21no—
518C2×C22⋊D13—21no—
519C2×C22⋊D13—21no—
520C2×C22⋊D13—21no—
521C2×C22⋊D13—44no—
522C2×C22⋊D13C2×D411yescharacteristic
523C2×C22⋊D13C2×D411yescharacteristic
524C22×Dic13—21no—
525C22×Dic13—21no—
526C22×Dic13—21no—
527C22×Dic13—21no—
528C22×Dic13—21no—
529C22×Dic13—21no—
530C22×Dic13—21no—
531#6129—22no—
532#6129—22no—
533#6129—22no—
534#6129—41no—
535#6129—41no—
536#6129—41no—
537D4×D13—22no—
538D4×D13—41no—
539#6127—42no—
540#6127—82no—
541C2×D52—21no—
542C2×D52C2×D411yescharacteristic
543C2×D52C2411yescharacteristic
544C2×C4×D13—21no—
545C2×C4×D13—21no—
546C2×C4×D13—21no—
547C2×C4×D13—82no—
548C2×C4×D13C2×D411yescharacteristic
549C2×C4×D13C2×D411yescharacteristic
550C2×C4×D13C2×D411yescharacteristic
551C2×C4×D13C2×D411yescharacteristic
552C2×C4×D13C2411yescharacteristic
553C2×C4×D13C2411yescharacteristic
554C2×Dic26—21no—
555C2×Dic26—21no—
556C2×Dic26C2×D411yescharacteristic
557C2×Dic26C2411yescharacteristic
558C2×Dic26C2411yescharacteristic
559C2×Dic26C2411yescharacteristic
560C13×D8—22no—
561C13×D8—22no—
562C13×D8—22no—
563C13×D8#4114yescomplemented
564C2×C8×C13—22no—
565C2×C8×C13—41no—
566C2×C8×C13C2411yescharacteristic
567C2×C8×C13C2411yescharacteristic
568C2×C8×C13C2411yescharacteristic
569C2×C8×C13C2411yescharacteristic
570C13×C4⋊C4—21no—
571C13×C4⋊C4—21no—
572C13×C4⋊C4C2411yescharacteristic
573C13×C4⋊C4C2411yescharacteristic
574C13×C4⋊C4C2411yescharacteristic
575C13×C4⋊C4C2411yescharacteristic
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—
584C42×C13C2×D411yescharacteristic
585C42×C13C2×D411yescharacteristic
586C42×C13C2411yescharacteristic
587C42×C13C2411yescharacteristic
588C22⋊Dic13—21no—
589C22⋊Dic13—21no—
590C22⋊Dic13—21no—
591C22⋊Dic13—21no—
592C22⋊Dic13—21no—
593C22⋊Dic13—21no—
594C22⋊Dic13—21no—
595C22⋊Dic13—21no—
596C22⋊Dic13—21no—
597C22⋊Dic13—21no—
598C22⋊Dic13—21no—
599C22⋊Dic13—21no—
600C22⋊Dic13—21no—
601C22⋊Dic13—21no—
602C22⋊Dic13—21no—
603C22⋊Dic13—21no—
604C22⋊Dic13—21no—
605C22⋊Dic13C2×D411yescharacteristic
606C22⋊Dic13C2×D411yescharacteristic
607#6105—22no—
608#6105—22no—
609#6105—22no—
610#6105—41no—
611#6105—41no—
612#6105—41no—
613#6104—22no—
614#6104—41no—
615#6103—21no—
616#6103—21no—
617#6103—21no—
618#6103—21no—
619#6103—21no—
620#6103—21no—
621#6103—21no—
622#6103—21no—
623#6103—21no—
624#6103—21no—
625#6103—21no—
626#6103—21no—
627#6103C2×D411yescharacteristic
628#6103C2×D411yescharacteristic
629#6103C2×D411yescharacteristic
630#6103C2×D411yescharacteristic
631C4⋊Dic13—21no—
632C4⋊Dic13—21no—
633C4⋊Dic13—21no—
634C4⋊Dic13—21no—
635C4⋊Dic13—21no—
636C4⋊Dic13—21no—
637C4⋊Dic13—21no—
638C4⋊Dic13—21no—
639C4⋊Dic13—21no—
640C4⋊Dic13C2×D411yescharacteristic
641C4⋊Dic13C2×D411yescharacteristic
642C4⋊Dic13C2411yescharacteristic
643C4⋊Dic13C2411yescharacteristic
644C4⋊Dic13C2411yescharacteristic
645C4⋊Dic13C2411yescharacteristic
646#6101—21no—
647#6101—21no—
648#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101C2×D411yescharacteristic
663#6101C2×D411yescharacteristic
664#6101C2×D411yescharacteristic
665#6101C2×D411yescharacteristic
666C4×Dic13—21no—
667C4×Dic13—21no—
668C4×Dic13—21no—
669C4×Dic13—21no—
670C4×Dic13—21no—
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13—21no—
674C4×Dic13—21no—
675C4×Dic13C2×D411yescharacteristic
676C4×Dic13C2×D411yescharacteristic
677C4×Dic13C2×D411yescharacteristic
678C4×Dic13C2×D411yescharacteristic
679C4×Dic13C2411yescharacteristic
680C4×Dic13C2411yescharacteristic
681C2×#1055C2411yescharacteristic
682C2×#1055C2411yescharacteristic
683C2×#1055C2411yescharacteristic
684C2×#1055C2411yescharacteristic
685Dic52—22no—
686Dic52—41no—
687#6095—22no—
688#6095—41no—
689#6094—22no—
690#6094—41no—
691C8×D13—22no—
692C8×D13—41no—
693#3481—131no—
694#3475—131no—
695#3401—131no—
696#3389—131no—
697#3376—131no—
698#3370—131no—
699#3347—131no—
700#3344—131no—
701#3337—131no—
702#3319—131no—
703#3314—131no—
704#3310—131no—
705#3307—131no—
706#3297—131no—
707#3296—131no—
708#3280—131no—
709#3267—131no—
710#3264—131no—
711#3183—131no—
712#3181—131no—
713#3180—131no—
714#3115—131no—
715#3114—131no—
716#3114—131no—
717#3111—131no—
718#3111—131no—
719#3110—131no—
720#2970—131no—
721C4×AGL(1,ℤ/8)—131no—
722#2943—131no—
723C2×#442D1311yescharacteristic, complemented
724C23×C13—21no—
725C23×C13—21no—
726C23×C13—21no—
727C23×C13—21no—
728C23×C13—42no—
729C23×C13—42no—
730C23×C13—42no—
731C23×C13—42no—
732C23×C13—81no—
733C23×C13—81no—
734C23×C13C22×D411yescharacteristic
735C22×D13—21no—
736C22×D13—42no—
737C22×D13—42no—
738C22×D13—81no—
739C22×D13C22×D411yescharacteristic
740C22×D13C22×D411yescharacteristic
741D4×C13—21no—
742D4×C13—21no—
743D4×C13—21no—
744D4×C13—21no—
745D4×C13—21no—
746D4×C13—21no—
747D4×C13—42no—
748D4×C13—42no—
749D4×C13C2×#4112yes—
750D4×C13C2×#4112yes—
751C2×C4×C13—22no—
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—41no—
759C2×C4×C13—42no—
760C2×C4×C13—42no—
761C2×C4×C13—42no—
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×C13C2511yescharacteristic
775C22⋊D13—22no—
776C22⋊D13—22no—
777C22⋊D13—42no—
778C22⋊D13—42no—
779C22⋊D13—42no—
780C22⋊D13—42no—
781C22⋊D13—42no—
782C22⋊D13—42no—
783C22⋊D13—42no—
784C22⋊D13—81no—
785C22⋊D13—81no—
786C22⋊D13—81no—
787C22⋊D13—81no—
788C2×Dic13—21no—
789C2×Dic13—21no—
790C2×Dic13—21no—
791C2×Dic13—21no—
792C2×Dic13—21no—
793C2×Dic13—21no—
794C2×Dic13—21no—
795C2×Dic13—42no—
796C2×Dic13—42no—
797C2×Dic13—42no—
798C2×Dic13—42no—
799C2×Dic13—81no—
800C2×Dic13—81no—
801C2×Dic13—81no—
802C2×Dic13C22×D411yescharacteristic
803C2×Dic13C22×D411yescharacteristic
804C2×Dic13C22×D411yescharacteristic
805C2×Dic13C22×D411yescharacteristic
806C2×Dic13C22×D411yescharacteristic
807C2×Dic13C22×D411yescharacteristic
808D52—21no—
809D52—21no—
810D52—41no—
811D52—81no—
812C4×D13—21no—
813C4×D13—21no—
814C4×D13—21no—
815C4×D13—21no—
816C4×D13—41no—
817C4×D13—41no—
818C4×D13—41no—
819C4×D13—41no—
820C4×D13—42no—
821C4×D13—81no—
822C4×D13—81no—
823Dic26—21no—
824Dic26—21no—
825Dic26—21no—
826Dic26—21no—
827Dic26—21no—
828Dic26—21no—
829Dic26—41no—
830Dic26—81no—
831Dic26—81no—
832C8×C13—21no—
833C8×C13—21no—
834C8×C13—21no—
835C8×C13C2×#4112yes—
836#1055—21no—
837#1055—21no—
838#1055—21no—
839#1055—21no—
840C2×AGL(1,ℤ/8)—131no—
841C2×#135—131no—
842C22×D8C2×D1311yescharacteristic
843#559—131no—
844#556—131no—
845#555—131no—
846#554—131no—
847#554—131no—
848#554—131no—
849#553—131no—
850#553—131no—
851#553—261no—
852#553—261no—
853#552—131no—
854#552—131no—
855#552—261no—
856#551—261no—
857#551—261no—
858#551—261no—
859#551—261no—
860#547—131no—
861#546—131no—
862#546—131no—
863#546—131no—
864#546—131no—
865#546—261no—
866D42—131no—
867#533—131no—
868#532—131no—
869#529—131no—
870#529—131no—
871#529—131no—
872#529—131no—
873#529—261no—
874#529—261no—
875#529—261no—
876#525—261no—
877#525—261no—
878#525—261no—
879C4×#41—131no—
880C4×#41—131no—
881C4×#41—131no—
882C4×#41—131no—
883C2×C4×D4—131no—
884C2×C4×D4—261no—
885C2×C4×D4C2×D1311yescharacteristic
886C2×C4×D4C2×D1311yescharacteristic, complemented
887C2×#117—261no—
888#501—131no—
889#501—131no—
890#499—131no—
891#497—131no—
892#496—131no—
893#495—131no—
894#491—131no—
895#490—131no—
896#489—131no—
897#489—131no—
898#488—131no—
899#488—131no—
900#485—131no—
901#485—131no—
902#484—131no—
903#484—131no—
904#483—131no—
905#483—131no—
906#482—131no—
907#482—131no—
908#482—131no—
909#482—131no—
910#480—131no—
911#480—131no—
912#479—131no—
913#479—131no—
914#478—131no—
915#478—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#478—131no—
920#475—131no—
921#474—131no—
922#474—131no—
923#474—131no—
924#470—131no—
925#469—131no—
926#468—131no—
927#468—131no—
928#467—131no—
929#467—131no—
930#466—131no—
931#466—131no—
932#465—131no—
933#465—131no—
934#465—131no—
935#465—131no—
936#464—131no—
937#464—131no—
938#463—131no—
939#463—131no—
940#463—131no—
941#463—131no—
942#463—131no—
943#463—131no—
944#461—131no—
945#461—131no—
946#460—131no—
947#459—131no—
948#452—131no—
949#452—131no—
950#450—131no—
951#450—131no—
952#450—131no—
953#450—131no—
954#449—131no—
955#449—131no—
956#449—131no—
957#449—131no—
958#447—131no—
959#447—131no—
960#446—131no—
961#446—131no—
962#442—131no—
963#442—131no—
964#442—131no—
965#442C2×D1311yescharacteristic
966#442C2×D1311yescharacteristic
967#442C2×D1311yescharacteristic
968#442C2×D1311yescharacteristic
969#442C2×D1311yescharacteristic, complemented
970#442C2×D1311yescharacteristic, complemented
971#442C2×D1311yescharacteristic, complemented
972#442C2×D1311yescharacteristic, complemented
973#441—131no—
974#441—131no—
975#441—131no—
976#440—131no—
977#440—131no—
978#440—131no—
979#440—131no—
980#440—131no—
981#440—131no—
982#440—131no—
983#440—131no—
984#440—131no—
985#440—131no—
986C4×SD16—131no—
987C4×SD16—131no—
988C4×D8—131no—
989C4×D8—131no—
990#435—131no—
991#435—131no—
992#435—131no—
993#435—131no—
994C8×D4—131no—
995C8×D4—131no—
996#432—131no—
997#432—131no—
998#432—131no—
999#428—131no—
1000#427—131no—
1001C2×#106C2×D1311yescharacteristic, complemented
1002#418—131no—
1003#417—131no—
1004#416—131no—
1005#416—131no—
1006C2×#102C2×D1311yescharacteristic
1007C2×#102C2×D1311yescharacteristic, complemented
1008C4×M16—131no—
1009C2×#97—131no—
1010C2×#97C2×D1311yescharacteristic, complemented
1011C22×C13—21no—
1012C22×C13—21no—
1013C22×C13—22no—
1014C22×C13—22no—
1015C22×C13—41no—
1016C22×C13—41no—
1017C22×C13—41no—
1018C22×C13—41no—
1019C22×C13—41no—
1020C22×C13—41no—
1021C22×C13—41no—
1022C22×C13—41no—
1023C22×C13—41no—
1024C22×C13—41no—
1025C22×C13—84no—
1026C22×C13—84no—
1027C22×C13#57512yes—
1028C22×C13C23×D411yescharacteristic
1029C2×D13—21no—
1030C2×D13—21no—
1031C2×D13—21no—
1032C2×D13—21no—
1033C2×D13—21no—
1034C2×D13—21no—
1035C2×D13—41no—
1036C2×D13—41no—
1037C2×D13—41no—
1038C2×D13—84no—
1039C4×C13—21no—
1040C4×C13—21no—
1041C4×C13—21no—
1042C4×C13—21no—
1043C4×C13—21no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13—41no—
1048C4×C13C22×#4111yescharacteristic
1049C4×C13#58511yescharacteristic
1050Dic13—21no—
1051Dic13—21no—
1052Dic13—21no—
1053Dic13—21no—
1054Dic13—21no—
1055Dic13—21no—
1056Dic13—41no—
1057Dic13—41no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13—41no—
1063C2×#41—131no—
1064C2×#41—131no—
1065C2×#41—131no—
1066C2×#41—131no—
1067C2×#41—261no—
1068C22×D4—131no—
1069C22×D4—261no—
1070C22×D4C22×D1311yescharacteristic
1071C22×D4C22×D1311yescharacteristic
1072C23×C4—21no—
1073C23×C4—21no—
1074C23×C4—261no—
1075AGL(1,ℤ/8)—264no—
1076#135—264no—
1077C2×Q16—131no—
1078C2×Q16—131no—
1079C2×SD16—131no—
1080C2×SD16—131no—
1081C2×SD16—131no—
1082C2×SD16—131no—
1083C2×SD16—131no—
1084C2×SD16—131no—
1085C2×SD16—131no—
1086C2×SD16—131no—
1087C2×D8—24no—
1088C2×D8—131no—
1089C2×D8—131no—
1090C2×D8C22×D1311yescharacteristic
1091C2×D8C22×D1311yescharacteristic
1092C2×D8C22×D1311yescharacteristic
1093C2×D8C22×D1311yescharacteristic
1094C2×M16—131no—
1095C2×M16—131no—
1096C22×C8—131no—
1097C22×C8—131no—
1098C22×C8C22×D1311yescharacteristic
1099C22×C8C22×D1311yescharacteristic
1100C4⋊Q8—131no—
1101C4⋊Q8—131no—
1102C4⋊Q8—131no—
1103#127—131no—
1104#126—261no—
1105#126—261no—
1106#126—261no—
1107#126—261no—
1108#126—261no—
1109#126—261no—
1110#126—261no—
1111#126—261no—
1112#126—261no—
1113#126—261no—
1114#125—131no—
1115#125—131no—
1116#125—131no—
1117#125—131no—
1118#125—261no—
1119#125—261no—
1120#125—261no—
1121#125—261no—
1122#124—131no—
1123#124—131no—
1124#124—131no—
1125#124—131no—
1126#124—261no—
1127#124—261no—
1128#124—261no—
1129#124—261no—
1130#123—261no—
1131#123—261no—
1132#123—261no—
1133#123—261no—
1134#123—261no—
1135#123—261no—
1136#123—261no—
1137#123—261no—
1138#123—261no—
1139#123—261no—
1140#123—261no—
1141#123—261no—
1142#123—261no—
1143#123—261no—
1144#123—261no—
1145#123—261no—
1146C22⋊Q8—131no—
1147C22⋊Q8—131no—
1148C22⋊Q8—131no—
1149C22⋊Q8—131no—
1150C22⋊Q8—131no—
1151C22⋊Q8—131no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8—261no—
1158C22⋊Q8—261no—
1159C22⋊Q8—261no—
1160C22⋊Q8—261no—
1161C22⋊Q8—261no—
1162#121—131no—
1163#121—131no—
1164#121—131no—
1165#121—131no—
1166#121—131no—
1167#121—131no—
1168#121—261no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121—261no—
1174#121—261no—
1175#121—261no—
1176#121—261no—
1177#121—261no—
1178#120—261no—
1179#120—261no—
1180#120—261no—
1181#120—261no—
1182#120—261no—
1183#120—261no—
1184C4×Q8—131no—
1185C4×Q8—131no—
1186C4×Q8—131no—
1187C4×Q8—131no—
1188C4×Q8—131no—
1189C4×Q8—131no—
1190C4×Q8—131no—
1191C4×Q8—131no—
1192C4×Q8—261no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—131no—
1198C4×D4—131no—
1199C4×D4—131no—
1200C4×D4—131no—
1201C4×D4—131no—
1202C4×D4—131no—
1203C4×D4—131no—
1204C4×D4—131no—
1205C4×D4—131no—
1206C4×D4—131no—
1207C4×D4—131no—
1208C4×D4—131no—
1209C4×D4—261no—
1210C4×D4—261no—
1211C4×D4—261no—
1212C4×D4—261no—
1213C4×D4—261no—
1214C4×D4—261no—
1215C4×D4—261no—
1216C4×D4—261no—
1217C4×D4—261no—
1218C4×D4—261no—
1219C4×D4—261no—
1220C4×D4—261no—
1221C4×D4—261no—
1222C4×D4—261no—
1223C4×D4—261no—
1224C4×D4—261no—
1225C4×D4—261no—
1226C4×D4C22×D1311yescharacteristic
1227C4×D4C22×D1311yescharacteristic
1228C4×D4C22×D1311yescharacteristic
1229C4×D4C22×D1311yescharacteristic
1230C4×D4C22×D1311yescharacteristic
1231C4×D4C22×D1311yescharacteristic
1232C4×D4C22×D1311yescharacteristic
1233C4×D4C22×D1311yescharacteristic
1234#117—131no—
1235#117—131no—
1236#117—131no—
1237#117—131no—
1238#117—131no—
1239#117—131no—
1240#117—261no—
1241#117—261no—
1242#117—261no—
1243#117—261no—
1244#117—261no—
1245#117—261no—
1246#117—261no—
1247#117—261no—
1248#117—261no—
1249#117—261no—
1250#117—261no—
1251#117—261no—
1252C2×C4⋊C4—131no—
1253C2×C4⋊C4—261no—
1254C2×C4⋊C4—261no—
1255C2×C4⋊C4—261no—
1256C2×C4⋊C4C22×D1311yescharacteristic
1257C2×C4⋊C4C22×D1311yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C22⋊C4—261no—
1261C2×C22⋊C4—261no—
1262C2×C22⋊C4—261no—
1263C2×C22⋊C4—261no—
1264C2×C22⋊C4—261no—
1265C2×C42—131no—
1266C2×C42—131no—
1267C2×C42—261no—
1268C2×C42—261no—
1269C2×C42—261no—
1270C2×C42C22×D1311yescharacteristic
1271#107—131no—
1272#107—131no—
1273#107—131no—
1274#107—131no—
1275#107—131no—
1276#107—131no—
1277#107—131no—
1278#107—131no—
1279#106—131no—
1280#106—131no—
1281#106—131no—
1282#106—131no—
1283#106C22×D1311yescharacteristic
1284#106C22×D1311yescharacteristic
1285#106C22×D1311yescharacteristic
1286#106C22×D1311yescharacteristic
1287C4⋊C8—131no—
1288C4⋊C8—131no—
1289C4⋊C8—131no—
1290C4⋊C8—131no—
1291C4⋊C8—131no—
1292C4⋊C8—131no—
1293#103—131no—
1294#103—131no—
1295#103—131no—
1296#103—131no—
1297#103—131no—
1298#103—131no—
1299#103—131no—
1300#103—131no—
1301#103—131no—
1302#103—131no—
1303#103—131no—
1304#103—131no—
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310#102—131no—
1311#102—131no—
1312#102—131no—
1313#102—131no—
1314#102—131no—
1315#102—131no—
1316#102—131no—
1317#102C22×D1311yescharacteristic
1318#102C22×D1311yescharacteristic
1319#102C22×D1311yescharacteristic
1320#102C22×D1311yescharacteristic
1321#102C22×D1311yescharacteristic
1322#102C22×D1311yescharacteristic
1323#102C22×D1311yescharacteristic
1324#102C22×D1311yescharacteristic
1325C22⋊C8—131no—
1326C22⋊C8—131no—
1327C22⋊C8—131no—
1328C22⋊C8—131no—
1329C22⋊C8—131no—
1330C22⋊C8—131no—
1331#97—131no—
1332#97—131no—
1333#97—131no—
1334#97—131no—
1335#97C22×D1311yescharacteristic
1336#97C22×D1311yescharacteristic
1337#97C22×D1311yescharacteristic
1338#97C22×D1311yescharacteristic
1339C4×C8—131no—
1340C4×C8—131no—
1341C2×C13—22no—
1342C2×C13—42no—
1343C2×C13—42no—
1344C2×C13—81no—
1345C2×C13—81no—
1346C2×C13D4×#4111yescharacteristic
1347C2×C13C2×#57511yescharacteristic
1348C2×C13#358511yescharacteristic
1349D13—41no—
1350D13—41no—
1351D13—81no—
1352C24—21no—
1353C24—21no—
1354C24—261no—
1355#41—262no—
1356#41—262no—
1357#41—262no—
1358#41—522no—
1359#41—521no—
1360#41—521no—
1361#41—521no—
1362#41—1042no—
1363C2×Q8—131no—
1364C2×Q8—131no—
1365C2×Q8—131no—
1366C2×Q8—131no—
1367C2×Q8—261no—
1368C2×Q8—261no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—131no—
1376C2×D4—131no—
1377C2×D4—131no—
1378C2×D4—131no—
1379C2×D4—261no—
1380C2×D4—261no—
1381C2×D4—261no—
1382C2×D4—261no—
1383C2×D4—262no—
1384C2×D4—261no—
1385C2×D4—261no—
1386C2×D4—261no—
1387C2×D4—261no—
1388C2×D4—261no—
1389C2×D4—261no—
1390C2×D4—261no—
1391C2×D4—261no—
1392C2×D4—521no—
1393C2×D4—524no—
1394C2×D4C23×D1311yescharacteristic
1395C2×D4C23×D1311yescharacteristic
1396C2×D4C23×D1311yescharacteristic
1397C2×D4C23×D1311yescharacteristic
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—44no—
1409C22×C4—82no—
1410C22×C4—131no—
1411C22×C4—131no—
1412C22×C4—131no—
1413C22×C4—131no—
1414C22×C4—131no—
1415C22×C4—131no—
1416C22×C4—261no—
1417C22×C4—261no—
1418C22×C4—261no—
1419C22×C4—261no—
1420C22×C4—261no—
1421C22×C4—261no—
1422C22×C4—261no—
1423C22×C4—261no—
1424C22×C4—261no—
1425C22×C4—261no—
1426C22×C4—1042no—
1427C22×C4D4×D1311yescharacteristic
1428C22×C4D4×D1311yescharacteristic
1429C22×C4C23×D1311yescharacteristic
1430Q16—262no—
1431Q16—521no—
1432SD16—262no—
1433SD16—262no—
1434SD16—262no—
1435SD16—262no—
1436SD16—521no—
1437SD16—521no—
1438SD16—521no—
1439SD16—521no—
1440D8—22no—
1441D8—22no—
1442D8—22no—
1443D8—262no—
1444D8—521no—
1445D8#612714yescomplemented
1446M16—262no—
1447M16—521no—
1448C2×C8—22no—
1449C2×C8—41no—
1450C2×C8—131no—
1451C2×C8—131no—
1452C2×C8—131no—
1453C2×C8—131no—
1454C2×C8—262no—
1455C2×C8—521no—
1456C2×C8C23×D1311yescharacteristic
1457C2×C8C23×D1311yescharacteristic
1458C2×C8C23×D1311yescharacteristic
1459C2×C8C23×D1311yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—131no—
1463C4⋊C4—131no—
1464C4⋊C4—131no—
1465C4⋊C4—131no—
1466C4⋊C4—131no—
1467C4⋊C4—131no—
1468C4⋊C4—131no—
1469C4⋊C4—131no—
1470C4⋊C4—131no—
1471C4⋊C4—131no—
1472C4⋊C4—261no—
1473C4⋊C4—261no—
1474C4⋊C4—261no—
1475C4⋊C4—261no—
1476C4⋊C4—261no—
1477C4⋊C4—261no—
1478C4⋊C4—261no—
1479C4⋊C4—261no—
1480C4⋊C4—261no—
1481C4⋊C4—261no—
1482C4⋊C4—261no—
1483C4⋊C4—261no—
1484C4⋊C4—261no—
1485C4⋊C4—261no—
1486C4⋊C4—261no—
1487C4⋊C4—261no—
1488C4⋊C4—261no—
1489C4⋊C4—261no—
1490C4⋊C4—261no—
1491C4⋊C4—261no—
1492C4⋊C4—261no—
1493C4⋊C4—261no—
1494C4⋊C4—261no—
1495C4⋊C4—261no—
1496C4⋊C4—261no—
1497C4⋊C4C23×D1311yescharacteristic
1498C4⋊C4C23×D1311yescharacteristic
1499C4⋊C4C23×D1311yescharacteristic
1500C4⋊C4C23×D1311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—131no—
1510C22⋊C4—131no—
1511C22⋊C4—131no—
1512C22⋊C4—131no—
1513C22⋊C4—131no—
1514C22⋊C4—131no—
1515C22⋊C4—261no—
1516C22⋊C4—261no—
1517C22⋊C4—261no—
1518C22⋊C4—261no—
1519C22⋊C4—261no—
1520C22⋊C4—261no—
1521C22⋊C4—261no—
1522C22⋊C4—261no—
1523C22⋊C4—261no—
1524C22⋊C4—261no—
1525C22⋊C4—261no—
1526C22⋊C4—261no—
1527C22⋊C4—261no—
1528C22⋊C4—261no—
1529C22⋊C4—261no—
1530C22⋊C4—261no—
1531C22⋊C4—261no—
1532C22⋊C4—261no—
1533C22⋊C4—261no—
1534C22⋊C4—261no—
1535C22⋊C4—261no—
1536C22⋊C4—261no—
1537C22⋊C4—261no—
1538C22⋊C4—261no—
1539C22⋊C4—261no—
1540C22⋊C4—261no—
1541C22⋊C4—261no—
1542C22⋊C4—261no—
1543C22⋊C4—261no—
1544C42—131no—
1545C42—131no—
1546C42—131no—
1547C42—131no—
1548C42—131no—
1549C42—131no—
1550C42—261no—
1551C42—261no—
1552C42—261no—
1553C42—261no—
1554C42—261no—
1555C42—261no—
1556C42—261no—
1557C42—261no—
1558C42—261no—
1559C42D4×D1311yescharacteristic
1560C42D4×D1311yescharacteristic
1561C42C23×D1311yescharacteristic
1562C42C23×D1311yescharacteristic
1563C13#6145411yescharacteristic, complemented, Sylow
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—42no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—81no—
1573C23—81no—
1574C23—131no—
1575C23—131no—
1576C23—261no—
1577C23—522no—
1578C23—522no—
1579C23—1041no—
1580C23C2×D4×D1311yescharacteristic
1581Q8—261no—
1582Q8—261no—
1583Q8—261no—
1584Q8—261no—
1585Q8—261no—
1586Q8—261no—
1587Q8—521no—
1588Q8—1041no—
1589Q8—1041no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—42no—
1597D4—42no—
1598D4—262no—
1599D4—262no—
1600D4—261no—
1601D4—261no—
1602D4—521no—
1603D4—522no—
1604D4—522no—
1605D4—522no—
1606D4—522no—
1607D4—522no—
1608D4—522no—
1609D4—522no—
1610D4—1041no—
1611D4—1041no—
1612D4—1041no—
1613D4—1041no—
1614D4—1041no—
1615D4C2×#612712yes—
1616D4C2×#612712yes—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—131no—
1636C2×C4—131no—
1637C2×C4—131no—
1638C2×C4—131no—
1639C2×C4—131no—
1640C2×C4—131no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—261no—
1646C2×C4—261no—
1647C2×C4—261no—
1648C2×C4—261no—
1649C2×C4—261no—
1650C2×C4—261no—
1651C2×C4—261no—
1652C2×C4—521no—
1653C2×C4—521no—
1654C2×C4—521no—
1655C2×C4—521no—
1656C2×C4—522no—
1657C2×C4—522no—
1658C2×C4—522no—
1659C2×C4—522no—
1660C2×C4—522no—
1661C2×C4—1041no—
1662C2×C4—1041no—
1663C2×C4—1041no—
1664C2×C4—1041no—
1665C2×C4—1041no—
1666C2×C4C2×D4×D1311yescharacteristic
1667C2×C4C2×D4×D1311yescharacteristic
1668C2×C4C2×D4×D1311yescharacteristic
1669C2×C4C2×D4×D1311yescharacteristic
1670C2×C4C2×D4×D1311yescharacteristic
1671C2×C4C24×D1311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—261no—
1676C8—261no—
1677C8—261no—
1678C8—261no—
1679C8C2×#612712yes—
1680C22—21no—
1681C22—21no—
1682C22—22no—
1683C22—22no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—84no—
1695C22—84no—
1696C22—261no—
1697C22—261no—
1698C22—261no—
1699C22—261no—
1700C22—261no—
1701C22—261no—
1702C22—521no—
1703C22—521no—
1704C22—521no—
1705C22—1044no—
1706C22#1171947812yes—
1707C22C22×D4×D1311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—261no—
1718C4—261no—
1719C4—261no—
1720C4—261no—
1721C4—261no—
1722C4—261no—
1723C4—521no—
1724C4—521no—
1725C4—521no—
1726C4—521no—
1727C4—521no—
1728C4—521no—
1729C4—521no—
1730C4C22×#612711yescharacteristic
1731C4#1171964811yescharacteristic
1732C2—22no—
1733C2—42no—
1734C2—42no—
1735C2—81no—
1736C2—81no—
1737C2—521no—
1738C2—521no—
1739C2—1041no—
1740C2D4×#612711yescharacteristic
1741C2C2×#1171947811yescharacteristic
1742C2#1312961211yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#442C2
socleC22×C13C23×D4
hypercenterC2×#442D13
hypocenterC13#61454
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. #13128440C2semidirect
2. #13128394C2semidirect
3. #13127907C2semidirect
4. #13127795C2semidirect
5. #13127664C2semidirect
6. #13127594C2semidirect
7. #13127341C2semidirect
8. #13127287C2semidirect
9. #13127211C2semidirect
10. #13126997C2semidirect
11. #13126913C2semidirect
12. #13126853C2semidirect
13. #13126817C2semidirect
14. #13126682C2semidirect
15. #13126667C2semidirect
16. #13126521C2semidirect
17. #13126363C2semidirect
18. #13126316C2semidirect
19. #13125563C2semidirect
20. #13125545C2semidirect
21. #13125532C2semidirect
22. #13124983C2semidirect
23. #13124974C2semidirect
24. #13124972C2semidirect
25. #13124941C2semidirect
26. #13124941C2semidirect
27. #13124935C2semidirect
28. #13123847C2semidirect
29. #13123647C2semidirect
30. #13123633C2semidirect
31. C2×C13×#442C2semidirect
34. C2×C4×D4×C13C22semidirect
37. #11719511C22semidirect
46. #11719268C22semidirect
47. #11719264C22semidirect
48. #11719263C22semidirect
49. #11719262C22semidirect
50. #11719262C22semidirect
51. #11719262C22semidirect
53. #11719260C22semidirect
54. #11719259C22semidirect
55. #11719253C22semidirect
57. C4×D4×D13C22semidirect
58. #11719248C22semidirect
59. #11719247C22semidirect
62. #11719244C22semidirect
66. C4×#6129C22semidirect
67. C4×#6129C22semidirect
68. C4×#6129C22semidirect
71. #11719218C22semidirect
79. #11719175C22semidirect
84. C13×#442C22semidirect
85. C13×#442C22semidirect
86. C13×#442C22semidirect
87. C13×#442C22semidirect
88. C2×C13×#106C22semidirect
90. C2×C13×#102C22semidirect
91. C2×C13×#97C22semidirect
94. #11718879C22semidirect
99. #11718819C22semidirect
100. #11718818C22semidirect
102. #11718816C22semidirect
106. #11718814C22semidirect
110. #11718777C22semidirect
111. #11718777C22semidirect
116. C8×C22⋊D13C22semidirect
117. C8×C22⋊D13C22semidirect
118. #11718680C22semidirect
119. #11718680C22semidirect
120. #11718679C22semidirect
121. #11718679C22semidirect
122. #11718679C22semidirect
123. #11718679C22semidirect
124. #11718679C22semidirect
125. #11718679C22semidirect
126. #11718677C22semidirect
127. #11718677C22semidirect
128. #11718675C22semidirect
129. #11718675C22semidirect
130. #11718670C22semidirect
131. #11718670C22semidirect
132. #11718668C22semidirect
133. #11718668C22semidirect
134. #11718632C22semidirect
135. #11718631C22semidirect
136. #11718631C22semidirect
138. #11718587C22semidirect
139. #11718532C22semidirect
140. #11718529C22semidirect
141. #11718528C22semidirect
142. #11718528C22semidirect
143. #11718527C22semidirect
144. #11718525C22semidirect
145. #11718523C22semidirect
146. #11718522C22semidirect
147. #11718521C22semidirect
148. #11718519C22semidirect
149. #11718518C22semidirect
150. #11718518C22semidirect
151. #11718517C22semidirect
152. #11718515C22semidirect
153. #11718514C22semidirect
154. #11718513C22semidirect
155. #11718448C22semidirect
156. #11718445C22semidirect
157. #11718444C22semidirect
158. #11718444C22semidirect
159. #11718442C22semidirect
160. #11718441C22semidirect
161. #11718441C22semidirect
162. #11718440C22semidirect
163. #11718440C22semidirect
164. #11718439C22semidirect
165. #11718437C22semidirect
166. #11718436C22semidirect
167. #11718435C22semidirect
168. #11718433C22semidirect
169. #11718433C22semidirect
170. #11718432C22semidirect
171. #11718431C22semidirect
172. #11718429C22semidirect
173. #11718429C22semidirect
174. #11718428C22semidirect
175. #11718428C22semidirect
176. #11718427C22semidirect
177. #11718426C22semidirect
178. #11718425C22semidirect
179. #11718424C22semidirect
180. #11718424C22semidirect
181. #11718423C22semidirect
182. #11718420C22semidirect
183. #11718419C22semidirect
184. #11718418C22semidirect
185. #11718418C22semidirect
186. #11718417C22semidirect
187. #11718377C22semidirect
188. #11718377C22semidirect
189. #11718376C22semidirect
190. #11718375C22semidirect
191. #11718371C22semidirect
192. #11718371C22semidirect
193. #11718368C22semidirect
194. #11718367C22semidirect
195. #11718367C22semidirect
196. #11718366C22semidirect
197. #11718366C22semidirect
198. D13×#97C22semidirect
199. #11718364C22semidirect
200. #11718363C22semidirect
201. #11718362C22semidirect
202. #11718362C22semidirect
563. C13×D8#41semidirect
723. C2×#442D13semidirect
886. C2×C4×D4C2×D13semidirect
969. #442C2×D13semidirect
970. #442C2×D13semidirect
971. #442C2×D13semidirect
972. #442C2×D13semidirect
1001. C2×#106C2×D13semidirect
1007. C2×#102C2×D13semidirect
1010. C2×#97C2×D13semidirect
1445. D8#6127semidirect
1563. C13#61454semidirect

Maximal subgroups

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

subgroupindex
#131284402
#131283942
#131279072
#131277952
#131276642
#131275942
#131273412
#131272872
#131272112
#131269972
#131269132
#131268532
#131268172
#131266822
#131266672
#131265212
#131263632
#131263162
#131255632
#131255452
#131255322
#131249832
#131249742
#131249722
#131249412
#131249352
#131238472
#131236472
#131236332
C2×C13×#4422
#6145413