Finite Group Databasebeta

← #16748080

Subgroups — #16748080

Order 3328.

2632 conjugacy classes of subgroups.

The subgroup lattice has 2070 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128861C211yesmaximal, characteristic, complemented
2D42×D13C211yesmaximal, characteristic, complemented
3#13127076C211yesmaximal, characteristic, complemented
4#13127074C211yesmaximal, characteristic, complemented
5#13126976C211yesmaximal, characteristic, complemented
6#13126974C211yesmaximal, characteristic, complemented
7#13126971C211yesmaximal, characteristic, complemented
8#13126658C211yesmaximal, characteristic, complemented
9#13126656C211yesmaximal, characteristic, complemented
10#13126510C211yesmaximal, characteristic, complemented
11#13126506C211yesmaximal, characteristic, complemented
12#13126454C211yesmaximal, characteristic, complemented
13#13126453C211yesmaximal, characteristic, complemented
14#13126321C211yesmaximal, characteristic, complemented
15#13126318C211yesmaximal, characteristic, complemented
16#13126312C211yesmaximal, characteristic, complemented
17#13126311C211yesmaximal, characteristic, complemented
18#13125855C211yesmaximal, characteristic, complemented
19#13125753C211yesmaximal, characteristic, complemented
20#13125635C211yesmaximal, characteristic, complemented
21#13125632C211yesmaximal, characteristic, complemented
22#13125605C211yesmaximal, characteristic, complemented
23#13125596C211yesmaximal, characteristic, complemented
24#13124925C211yesmaximal, characteristic, complemented
25#13124888C211yesmaximal, characteristic, complemented
26#13124065C211yesmaximal, characteristic, complemented
27#13124060C211yesmaximal, characteristic, complemented
28C2×#11718434C211yesmaximal, characteristic, complemented
29D13×#447C211yesmaximal, characteristic, complemented
30#13123866C211yesmaximal, characteristic, complemented
31C13×#3318C211yesmaximal, characteristic, complemented
32C22×D4×D13—21no—
33C22×D4×D13C2211yescharacteristic, complemented
34C22×D4×D13C2211yescharacteristic, complemented
35C13×#553C2211yescharacteristic, complemented
36D42×C13C2211yescharacteristic, complemented
37D4×C22⋊D13—21no—
38D4×C22⋊D13C2211yescharacteristic
39D4×C22⋊D13C2211yescharacteristic, complemented
40C2×#88186C2211yescharacteristic, complemented
41C22×#6104C2211yescharacteristic, complemented
42C2×#88165C2211yescharacteristic, complemented
43C2×#88165C2211yescharacteristic, complemented
44C2×D8×D13C2211yescharacteristic, complemented
45C2×D8×D13C2211yescharacteristic, complemented
46C2×#88162C2211yescharacteristic, complemented
47C22×D104C2211yescharacteristic, complemented
48#11719422C2211yescharacteristic, complemented
49D13×#127C2211yescharacteristic, complemented
50#11719414—21no—
51#11719409—21no—
52#11719400C2211yescharacteristic, complemented
53#11719396C2211yescharacteristic, complemented
54#11719368—21no—
55#11719359—21no—
56#11719322—21no—
57#11719314—21no—
58#11719314—21no—
59#11719314C2211yescharacteristic
60#11719314C2211yescharacteristic, complemented
61#11719314C2211yescharacteristic, complemented
62#11719311C2211yescharacteristic, complemented
63D13×#121—21no—
64D13×#121C2211yescharacteristic, complemented
65D13×#121C2211yescharacteristic, complemented
66D13×#121C2211yescharacteristic, complemented
67#11719304C2211yescharacteristic, complemented
68#11719295—21no—
69#11719295—21no—
70D13×#120—21no—
71D13×#120—21no—
72#11719259C2211yescharacteristic, complemented
73#11719255—21no—
74#11719255C2211yescharacteristic, complemented
75D4×D52C2211yescharacteristic, complemented
76D4×D52C2211yescharacteristic, complemented
77#11719253C2211yescharacteristic, complemented
78#11719250—21no—
79C4×D4×D13C2211yescharacteristic
80C4×D4×D13C2211yescharacteristic, complemented
81#11719237C2211yescharacteristic, complemented
82#11719229C2211yescharacteristic, complemented
83#11719216C2211yescharacteristic, complemented
84C2×#88149C2211yescharacteristic, complemented
85C13×#490C2211yescharacteristic, complemented
86C13×#482C2211yescharacteristic, complemented
87C13×#481C2211yescharacteristic, complemented
88C13×#478C2211yescharacteristic, complemented
89C13×#469C2211yescharacteristic, complemented
90C13×#466C2211yescharacteristic, complemented
91C13×#459C2211yescharacteristic, complemented
92C13×#447C2211yescharacteristic, complemented
93C13×#447C2211yescharacteristic, complemented
94C13×#442C2211yescharacteristic, complemented
95C13×#435C2211yescharacteristic, complemented
96C13×#418C2211yescharacteristic, complemented
97C2×C13×#102C2211yescharacteristic, complemented
98#11718879C2211yescharacteristic, complemented
99#11718878C2211yescharacteristic, complemented
100#11718819C2211yescharacteristic, complemented
101#11718817C2211yescharacteristic, complemented
102#11718817C2211yescharacteristic, complemented
103#11718817C2211yescharacteristic, complemented
104#11718817C2211yescharacteristic, complemented
105#11718812C2211yescharacteristic, complemented
106#11718812C2211yescharacteristic, complemented
107#11718811C2211yescharacteristic, complemented
108#11718796C2211yescharacteristic, complemented
109#11718789C2211yescharacteristic, complemented
110#11718787C2211yescharacteristic, complemented
111#11718775C2211yescharacteristic, complemented
112C8×C22⋊D13C2211yescharacteristic, complemented
113C2×#88060C2211yescharacteristic, complemented
114#11718735C2211yescharacteristic, complemented
115#11718733C2211yescharacteristic, complemented
116#11718728C2211yescharacteristic, complemented
117#11718727C2211yescharacteristic, complemented
118#11718702C2211yescharacteristic, complemented
119#11718700C2211yescharacteristic, complemented
120#11718700C2211yescharacteristic, complemented
121#11718699C2211yescharacteristic, complemented
122#11718698C2211yescharacteristic, complemented
123#11718697C2211yescharacteristic, complemented
124#11718697C2211yescharacteristic, complemented
125#11718697C2211yescharacteristic, complemented
126#11718677C2211yescharacteristic, complemented
127#11718676C2211yescharacteristic, complemented
128#11718675C2211yescharacteristic, complemented
129#11718675C2211yescharacteristic, complemented
130#11718672C2211yescharacteristic, complemented
131#11718664C2211yescharacteristic, complemented
132#11718662C2211yescharacteristic, complemented
133#11718629C2211yescharacteristic, complemented
134C2×#88049C2211yescharacteristic, complemented
135#11718546C2211yescharacteristic, complemented
136#11718545C2211yescharacteristic, complemented
137#11718544C2211yescharacteristic, complemented
138#11718533C2211yescharacteristic, complemented
139#11718531C2211yescharacteristic, complemented
140#11718526C2211yescharacteristic, complemented
141#11718526C2211yescharacteristic, complemented
142#11718525C2211yescharacteristic, complemented
143#11718524C2211yescharacteristic, complemented
144#11718524C2211yescharacteristic, complemented
145#11718524C2211yescharacteristic, complemented
146#11718513C2211yescharacteristic, complemented
147#11718505C2211yescharacteristic, complemented
148#11718504C2211yescharacteristic, complemented
149#11718497C2211yescharacteristic, complemented
150#11718494C2211yescharacteristic, complemented
151#11718447C2211yescharacteristic, complemented
152#11718447C2211yescharacteristic, complemented
153#11718447C2211yescharacteristic, complemented
154#11718443C2211yescharacteristic, complemented
155#11718443C2211yescharacteristic, complemented
156#11718442C2211yescharacteristic, complemented
157#11718440C2211yescharacteristic, complemented
158#11718439C2211yescharacteristic, complemented
159#11718438C2211yescharacteristic, complemented
160#11718438C2211yescharacteristic, complemented
161#11718437C2211yescharacteristic, complemented
162#11718437C2211yescharacteristic, complemented
163#11718437C2211yescharacteristic, complemented
164#11718437C2211yescharacteristic, complemented
165#11718437C2211yescharacteristic, complemented
166#11718436C2211yescharacteristic, complemented
167#11718434C2211yescharacteristic
168#11718434C2211yescharacteristic, complemented
169#11718434C2211yescharacteristic, complemented
170#11718434C2211yescharacteristic, complemented
171#11718434C2211yescharacteristic, complemented
172#11718434C2211yescharacteristic, complemented
173#11718434C2211yescharacteristic, complemented
174#11718434C2211yescharacteristic, complemented
175#11718434C2211yescharacteristic, complemented
176#11718434C2211yescharacteristic, complemented
177#11718434C2211yescharacteristic, complemented
178#11718434C2211yescharacteristic, complemented
179#11718434C2211yescharacteristic, complemented
180#11718431C2211yescharacteristic, complemented
181#11718431C2211yescharacteristic, complemented
182D13×#102C2211yescharacteristic, complemented
183D13×#102C2211yescharacteristic, complemented
184#11718423C2211yescharacteristic, complemented
185#11718423C2211yescharacteristic, complemented
186#11718422C2211yescharacteristic, complemented
187#11718421C2211yescharacteristic, complemented
188#11718421C2211yescharacteristic, complemented
189#11718419C2211yescharacteristic, complemented
190#11718417C2211yescharacteristic, complemented
191#11718395C2211yescharacteristic, complemented
192#11718393C2211yescharacteristic, complemented
193#11718393C2211yescharacteristic, complemented
194#11718392C2211yescharacteristic, complemented
195#11718390C2211yescharacteristic, complemented
196#11718387C2211yescharacteristic, complemented
197#11718386C2211yescharacteristic, complemented
198D13×C22⋊C8C2211yescharacteristic, complemented
199#11718373C2211yescharacteristic, complemented
200#11718372C2211yescharacteristic, complemented
201#11718367C2211yescharacteristic, complemented
202#11718366C2211yescharacteristic, complemented
203C24×D13—21no—
204C24×D13—21no—
205C22×D4×C13—21no—
206C22×D4×C13C2311yescharacteristic
207C22×D4×C13C2311yescharacteristic
208C22×C22⋊D13—21no—
209C22×C22⋊D13—21no—
210C22×C22⋊D13—21no—
211C22×C22⋊D13—21no—
212C2×#6129C2311yescharacteristic, complemented
213C2×D4×D13—21no—
214C2×D4×D13—21no—
215C2×D4×D13—21no—
216C2×D4×D13—21no—
217C2×D4×D13—21no—
218C2×D4×D13—21no—
219C2×D4×D13—21no—
220C2×D4×D13—21no—
221C2×D4×D13—21no—
222C2×D4×D13—21no—
223C2×D4×D13—21no—
224C2×D4×D13—21no—
225C2×D4×D13—21no—
226C2×D4×D13—21no—
227C2×D4×D13—42no—
228C2×D4×D13—42no—
229C2×D4×D13—42no—
230C2×D4×D13—42no—
231C2×D4×D13—48no—
232C2×D4×D13D411yescharacteristic
233C2×D4×D13C2311yescharacteristic
234C2×D4×D13C2311yescharacteristic
235C2×D4×D13C2311yescharacteristic
236C2×D4×D13C2311yescharacteristic
237C2×D4×D13C2311yescharacteristic
238C2×D4×D13C2311yescharacteristic
239C2×D4×D13C2311yescharacteristic
240C2×D4×D13C2311yescharacteristic, complemented
241C2×#6127—21no—
242C2×#6127C2311yescharacteristic, complemented
243C22×D52—21no—
244C22×D52—21no—
245C22×D52C2311yescharacteristic
246C22×D52C2311yescharacteristic
247C22×D52C2311yescharacteristic, complemented
248C22×C4×D13—21no—
249C22×C4×D13C2311yescharacteristic
250C22×C4×D13C2311yescharacteristic
251C2×C13×D8C2311yescharacteristic
252C2×C13×D8C2311yescharacteristic, complemented
253C2×C13×D8C2311yescharacteristic, complemented
254C2×C13×M16C2311yescharacteristic, complemented
255C22×C8×C13C2311yescharacteristic, complemented
256C13×#127C2311yescharacteristic
257C13×#126—21no—
258C13×#125C2311yescharacteristic, complemented
259C13×#123—21no—
260C13×#121—21no—
261C13×#121—21no—
262C13×#121C2311yescharacteristic
263C13×#121C2311yescharacteristic
264C13×#121C2311yescharacteristic, complemented
265C13×#121C2311yescharacteristic, complemented
266C13×#120—21no—
267C13×#120—21no—
268C4×D4×C13—21no—
269C4×D4×C13C2311yescharacteristic
270C4×D4×C13C2311yescharacteristic
271C4×D4×C13C2311yescharacteristic, complemented
272C13×#117C2311yescharacteristic, complemented
273C2×C13×C4⋊C4C2311yescharacteristic, complemented
274#88207—21no—
275#88207—21no—
276#88194—21no—
277#88194—21no—
278#88194—21no—
279#88194C2311yescharacteristic
280#88194C2311yescharacteristic
281#88194C2311yescharacteristic, complemented
282#88193—21no—
283#88193—21no—
284#88193—21no—
285#88193—21no—
286#88193—21no—
287#88193—21no—
288#88192—21no—
289#88192C2311yescharacteristic
290#88192C2311yescharacteristic
291#88192C2311yescharacteristic
292#88191—21no—
293#88191—21no—
294#88191—21no—
295#88191—21no—
296#88191—21no—
297#88191—21no—
298#88191—21no—
299#88191—21no—
300#88191—21no—
301D4×Dic13—21no—
302D4×Dic13D411yescharacteristic
303D4×Dic13C2311yescharacteristic
304C2×#6105C2311yescharacteristic
305C2×#6105C2311yescharacteristic, complemented
306C2×#6105C2311yescharacteristic, complemented
307#88186—42no—
308C2×#6104—42no—
309C2×#6104C2311yescharacteristic
310C2×#6104C2311yescharacteristic
311C2×#6104C2311yescharacteristic
312C2×#6104C2311yescharacteristic, complemented
313C2×#6104C2311yescharacteristic, complemented
314C2×#6104C2311yescharacteristic, complemented
315C2×#6104C2311yescharacteristic, complemented
316C2×#6104C2311yescharacteristic, complemented
317C2×#6104C2311yescharacteristic, complemented
318#88184—21no—
319#88184—21no—
320#88184C2311yescharacteristic
321#88184C2311yescharacteristic
322#88184C2311yescharacteristic, complemented
323C4×C22⋊D13—21no—
324C4×C22⋊D13—21no—
325C4×C22⋊D13—21no—
326C4×C22⋊D13C2311yescharacteristic
327C4×C22⋊D13C2311yescharacteristic
328C2×#6103—21no—
329C2×#6103—21no—
330#88178—21no—
331#88178C2311yescharacteristic, complemented
332C2×#6099C2311yescharacteristic, complemented
333C22×#1055C2311yescharacteristic, complemented
334#88165—42no—
335#88165—42no—
336D8×D13—42no—
337D8×D13—42no—
338#88162—42no—
339C2×D104—42no—
340C2×D104C2311yescharacteristic
341C2×D104C2311yescharacteristic
342C2×D104C2311yescharacteristic, complemented
343C2×D104C2311yescharacteristic, complemented
344C2×D104C2311yescharacteristic, complemented
345C2×D104C2311yescharacteristic, complemented
346C2×#6095C2311yescharacteristic
347C2×#6095C2311yescharacteristic, complemented
348C2×#6095C2311yescharacteristic, complemented
349C2×#6094C2311yescharacteristic, complemented
350C2×#6094C2311yescharacteristic, complemented
351C2×C8×D13C2311yescharacteristic, complemented
352C2×C8×D13C2311yescharacteristic, complemented
353#88152—21no—
354#88152—21no—
355#88151C2311yescharacteristic
356#88151C2311yescharacteristic, complemented
357#88150—21no—
358#88149—21no—
359#88149—21no—
360#88149—21no—
361#88149—21no—
362#88149C2311yescharacteristic
363#88149C2311yescharacteristic
364#88149C2311yescharacteristic
365#88149C2311yescharacteristic
366#88149C2311yescharacteristic, complemented
367#88149C2311yescharacteristic, complemented
368#88149C2311yescharacteristic, complemented
369#88148—21no—
370#88148—21no—
371#88148—21no—
372#88147—21no—
373#88147—21no—
374#88147D411yescharacteristic
375#88147C2311yescharacteristic
376#88147C2311yescharacteristic, complemented
377#88146—21no—
378#88146C2311yescharacteristic, complemented
379C4⋊C4×D13D411yescharacteristic
380C4⋊C4×D13C2311yescharacteristic
381C4⋊C4×D13C2311yescharacteristic, complemented
382#88143—21no—
383#88142C2311yescharacteristic, complemented
384#88141C2311yescharacteristic, complemented
385#88140—21no—
386#88140—21no—
387#88139—21no—
388#88139—21no—
389#88138—21no—
390#88138—21no—
391#88138—21no—
392#88138—21no—
393#88138—21no—
394#88138—21no—
395#88138—21no—
396#88138—21no—
397#88138—21no—
398#88138—21no—
399#88137—21no—
400#88136—21no—
401#88136—21no—
402#88136—21no—
403#88136—21no—
404#88136—21no—
405#88136—21no—
406#88136—21no—
407#88136—21no—
408#88136—21no—
409#88135—21no—
410#88135—21no—
411#88135—21no—
412#88135D411yescharacteristic
413#88135D411yescharacteristic
414C22⋊C4×D13—21no—
415C22⋊C4×D13—21no—
416C22⋊C4×D13—21no—
417C22⋊C4×D13—21no—
418C22⋊C4×D13—21no—
419C22⋊C4×D13D411yescharacteristic
420C22⋊C4×D13D411yescharacteristic
421#88129—21no—
422#88129C2311yescharacteristic, complemented
423#88128C2311yescharacteristic
424C4×D52—21no—
425C4×D52—21no—
426C4×D52C2311yescharacteristic
427C4×D52C2311yescharacteristic
428C4×D52C2311yescharacteristic, complemented
429#88126—21no—
430C42×D13C2311yescharacteristic
431C13×#107C2311yescharacteristic, complemented
432C13×#106C2311yescharacteristic, complemented
433C13×#106C2311yescharacteristic, complemented
434C13×C4⋊C8C2311yescharacteristic, complemented
435C13×#102C2311yescharacteristic
436C13×#102C2311yescharacteristic
437C13×#102C2311yescharacteristic
438C13×#102C2311yescharacteristic, complemented
439C13×#102C2311yescharacteristic, complemented
440C13×#102C2311yescharacteristic, complemented
441C13×#102C2311yescharacteristic, complemented
442C13×#102C2311yescharacteristic, complemented
443C13×#102C2311yescharacteristic, complemented
444C13×#102C2311yescharacteristic, complemented
445C13×C22⋊C8C2311yescharacteristic, complemented
446C13×C22⋊C8C2311yescharacteristic, complemented
447C13×#97C2311yescharacteristic, complemented
448#88072C2311yescharacteristic
449#88072C2311yescharacteristic, complemented
450#88072C2311yescharacteristic, complemented
451#88072C2311yescharacteristic, complemented
452C22⋊#1055C2311yescharacteristic, complemented
453C22⋊#1055C2311yescharacteristic, complemented
454#88061C2311yescharacteristic
455#88061C2311yescharacteristic, complemented
456#88061C2311yescharacteristic, complemented
457#88061C2311yescharacteristic, complemented
458#88061C2311yescharacteristic, complemented
459#88060C2311yescharacteristic
460#88060C2311yescharacteristic
461#88060C2311yescharacteristic
462#88060C2311yescharacteristic
463#88060C2311yescharacteristic, complemented
464#88060C2311yescharacteristic, complemented
465#88060C2311yescharacteristic, complemented
466#88060C2311yescharacteristic, complemented
467#88057C2311yescharacteristic, complemented
468#88056C2311yescharacteristic, complemented
469#88054C2311yescharacteristic, complemented
470#88054C2311yescharacteristic, complemented
471C8×Dic13C2311yescharacteristic, complemented
472C8×Dic13C2311yescharacteristic, complemented
473#88050C2311yescharacteristic, complemented
474#88049C2311yescharacteristic
475#88049C2311yescharacteristic
476#88049C2311yescharacteristic
477#88049C2311yescharacteristic, complemented
478#88049C2311yescharacteristic, complemented
479#88049C2311yescharacteristic, complemented
480#88049C2311yescharacteristic, complemented
481#88049C2311yescharacteristic, complemented
482#88049C2311yescharacteristic, complemented
483#88049C2311yescharacteristic, complemented
484#88049C2311yescharacteristic, complemented
485#88048C2311yescharacteristic, complemented
486#88048C2311yescharacteristic, complemented
487#88048C2311yescharacteristic, complemented
488#88047C2311yescharacteristic, complemented
489C4⋊#1055C2311yescharacteristic, complemented
490#88043C2311yescharacteristic, complemented
491#61591—131nomaximal, Sylow
492C24×C13—21no—
493C24×C13—21no—
494C23×D13—21no—
495C23×D13—21no—
496C23×D13—21no—
497C23×D13—21no—
498C23×D13—21no—
499C23×D13—21no—
500C23×D13—21no—
501C23×D13—21no—
502C23×D13—21no—
503C23×D13—21no—
504C23×D13—21no—
505C23×D13—44no—
506C23×D13—44no—
507C23×D13—44no—
508C23×D13—44no—
509C23×D13—82no—
510C23×D13—82no—
511C23×D13C2×D411yescharacteristic
512C23×D13C2×D411yescharacteristic
513C2×D4×C13—22no—
514C2×D4×C13—22no—
515C2×D4×C13—21no—
516C2×D4×C13—21no—
517C2×D4×C13—21no—
518C2×D4×C13—21no—
519C2×D4×C13—21no—
520C2×D4×C13—21no—
521C2×D4×C13—21no—
522C2×D4×C13—21no—
523C2×D4×C13—41no—
524C2×D4×C13—41no—
525C2×D4×C13—44no—
526C2×D4×C13C2×D411yescharacteristic
527C2×D4×C13C2411yescharacteristic
528C2×D4×C13C2411yescharacteristic
529C2×D4×C13C2411yescharacteristic
530C2×D4×C13C2411yescharacteristic
531C22×C4×C13—21no—
532C22×C4×C13—21no—
533C22×C4×C13—21no—
534C22×C4×C13C2411yescharacteristic
535C22×C4×C13C2411yescharacteristic
536C2×C22⋊D13—21no—
537C2×C22⋊D13—21no—
538C2×C22⋊D13—21no—
539C2×C22⋊D13—21no—
540C2×C22⋊D13—21no—
541C2×C22⋊D13—21no—
542C2×C22⋊D13—21no—
543C2×C22⋊D13—21no—
544C2×C22⋊D13—21no—
545C2×C22⋊D13—21no—
546C2×C22⋊D13—21no—
547C2×C22⋊D13—21no—
548C2×C22⋊D13—21no—
549C2×C22⋊D13—21no—
550C2×C22⋊D13—21no—
551C2×C22⋊D13—21no—
552C2×C22⋊D13—21no—
553C2×C22⋊D13—21no—
554C2×C22⋊D13—21no—
555C2×C22⋊D13—21no—
556C2×C22⋊D13—21no—
557C2×C22⋊D13—21no—
558C2×C22⋊D13—44no—
559C2×C22⋊D13—44no—
560C2×C22⋊D13—44no—
561C2×C22⋊D13—44no—
562C2×C22⋊D13C2×D411yescharacteristic
563C2×C22⋊D13C2×D411yescharacteristic
564C22×Dic13—21no—
565C22×Dic13—21no—
566C22×Dic13C2×D411yescharacteristic
567C22×Dic13C2×D411yescharacteristic
568#6129—41no—
569#6129—41no—
570D4×D13—22no—
571D4×D13—24no—
572D4×D13—22no—
573D4×D13—22no—
574D4×D13—22no—
575D4×D13—22no—
576D4×D13—22no—
577D4×D13—41no—
578D4×D13—41no—
579D4×D13—41no—
580D4×D13—41no—
581D4×D13—41no—
582D4×D13—41no—
583D4×D13—41no—
584D4×D13—41no—
585D4×D13—41no—
586D4×D13—41no—
587D4×D13—44no—
588D4×D13—44no—
589D4×D13—44no—
590D4×D13—44no—
591D4×D13—44no—
592D4×D13—44no—
593D4×D13—44no—
594D4×D13—44no—
595D4×D13—44no—
596D4×D13—44no—
597D4×D13—44no—
598D4×D13—44no—
599D4×D13—82no—
600D4×D13—82no—
601#6127—41no—
602#6127—41no—
603#6127—82no—
604C2×D52—22no—
605C2×D52—22no—
606C2×D52—21no—
607C2×D52—21no—
608C2×D52—21no—
609C2×D52—21no—
610C2×D52—21no—
611C2×D52—21no—
612C2×D52—21no—
613C2×D52—21no—
614C2×D52—21no—
615C2×D52—21no—
616C2×D52—21no—
617C2×D52—21no—
618C2×D52—41no—
619C2×D52—41no—
620C2×D52—41no—
621C2×D52—41no—
622C2×D52—44no—
623C2×D52—82no—
624C2×D52C2×D411yescharacteristic
625C2×D52C2411yescharacteristic
626C2×D52C2411yescharacteristic
627C2×D52C2411yescharacteristic
628C2×D52C2411yescharacteristic
629C2×D52C2411yescharacteristic
630C2×C4×D13—21no—
631C2×C4×D13—21no—
632C2×C4×D13—21no—
633C2×C4×D13—21no—
634C2×C4×D13—21no—
635C2×C4×D13—21no—
636C2×C4×D13—21no—
637C2×C4×D13—41no—
638C2×C4×D13—41no—
639C2×C4×D13—41no—
640C2×C4×D13—41no—
641C2×C4×D13—44no—
642C2×C4×D13C2×D411yescharacteristic
643C2×C4×D13C2×D411yescharacteristic
644C2×C4×D13C2×D411yescharacteristic
645C2×C4×D13C2×D411yescharacteristic
646C2×C4×D13C2×D411yescharacteristic
647C2×C4×D13C2×D411yescharacteristic
648C2×C4×D13C2411yescharacteristic
649C2×C4×D13C2411yescharacteristic
650C2×C4×D13C2411yescharacteristic
651C2×Dic26—21no—
652C2×Dic26C2411yescharacteristic
653C13×D8—22no—
654C13×D8—41no—
655C13×D8—41no—
656C13×M16—41no—
657C2×C8×C13—41no—
658C2×C8×C13C2411yescharacteristic
659C2×C8×C13C2411yescharacteristic
660C2×C8×C13C2411yescharacteristic
661C2×C8×C13C2411yescharacteristic
662C13×C4⋊C4—21no—
663C13×C4⋊C4—21no—
664C13×C4⋊C4—21no—
665C13×C4⋊C4C2×D411yescharacteristic
666C13×C4⋊C4C2411yescharacteristic
667C13×C4⋊C4C2411yescharacteristic
668C13×C4⋊C4C2411yescharacteristic
669C13×C4⋊C4C2411yescharacteristic
670C13×C22⋊C4—21no—
671C13×C22⋊C4—21no—
672C13×C22⋊C4—21no—
673C13×C22⋊C4—21no—
674C13×C22⋊C4—21no—
675C13×C22⋊C4—21no—
676C13×C22⋊C4—21no—
677C13×C22⋊C4C2×D411yescharacteristic
678C13×C22⋊C4C2×D411yescharacteristic
679C42×C13—21no—
680C42×C13C2411yescharacteristic
681C22⋊Dic13—21no—
682C22⋊Dic13—21no—
683C22⋊Dic13—21no—
684C22⋊Dic13—21no—
685C22⋊Dic13—21no—
686C22⋊Dic13C2×D411yescharacteristic
687C22⋊Dic13C2×D411yescharacteristic
688#6105—22no—
689#6105—41no—
690#6105—41no—
691#6104—22no—
692#6104—22no—
693#6104—22no—
694#6104—41no—
695#6104—41no—
696#6104—41no—
697#6104—41no—
698#6104—41no—
699#6104—41no—
700#6103—21no—
701#6103—21no—
702#6103—21no—
703#6103—21no—
704#6103—21no—
705#6103—21no—
706#6103—21no—
707#6103—21no—
708#6103—21no—
709#6103—21no—
710#6103—21no—
711#6103—21no—
712#6103—21no—
713#6103—21no—
714#6103—21no—
715#6103—21no—
716#6103—21no—
717#6103—21no—
718#6103—21no—
719#6103C2×D411yescharacteristic
720#6103C2×D411yescharacteristic
721#6103C2×D411yescharacteristic
722#6103C2×D411yescharacteristic
723C4⋊Dic13—21no—
724C4⋊Dic13—21no—
725C4⋊Dic13C2×D411yescharacteristic
726C4⋊Dic13C2411yescharacteristic
727C4⋊Dic13C2411yescharacteristic
728#6101—21no—
729#6101—21no—
730#6101—21no—
731#6101—21no—
732#6101—21no—
733#6101C2×D411yescharacteristic
734#6101C2×D411yescharacteristic
735C4×Dic13—21no—
736C4×Dic13—21no—
737C4×Dic13C2×D411yescharacteristic
738C4×Dic13C2×D411yescharacteristic
739C4×Dic13C2411yescharacteristic
740#6099—41no—
741C2×#1055—41no—
742C2×#1055C2411yescharacteristic
743C2×#1055C2411yescharacteristic
744C2×#1055C2411yescharacteristic
745C2×#1055C2411yescharacteristic
746D104—22no—
747D104—22no—
748D104—41no—
749D104—41no—
750D104—41no—
751D104—41no—
752#6095—22no—
753#6095—41no—
754#6095—41no—
755#6094—41no—
756#6094—41no—
757C8×D13—41no—
758C8×D13—41no—
759#3519—131no—
760C2×D42—131no—
761#3325—131no—
762#3325—131no—
763#3318—131no—
764#3318—131no—
765#3318—131no—
766#3318D1311yescharacteristic, complemented
767#3295—131no—
768#3295—131no—
769D4×D8—131no—
770D4×D8—131no—
771#3274—131no—
772#3274—131no—
773#3264—131no—
774#3264—131no—
775#3264—131no—
776#3264—131no—
777#3217—131no—
778#3205—131no—
779#3192—131no—
780#3192—131no—
781#3188—131no—
782#3188—131no—
783#3109—131no—
784#3105—131no—
785#3003—131no—
786#3003—131no—
787C2×#447—131no—
788C2×#447—131no—
789#2974—131no—
790C23×C13—21no—
791C23×C13—21no—
792C23×C13—21no—
793C23×C13—21no—
794C23×C13—42no—
795C23×C13—42no—
796C23×C13—42no—
797C23×C13—42no—
798C23×C13—81no—
799C23×C13—81no—
800C23×C13C22×D411yescharacteristic
801C23×C13C22×D411yescharacteristic
802C22×D13—24no—
803C22×D13—22no—
804C22×D13—21no—
805C22×D13—22no—
806C22×D13—22no—
807C22×D13—22no—
808C22×D13—21no—
809C22×D13—21no—
810C22×D13—21no—
811C22×D13—21no—
812C22×D13—41no—
813C22×D13—41no—
814C22×D13—42no—
815C22×D13—42no—
816C22×D13—42no—
817C22×D13—42no—
818C22×D13—42no—
819C22×D13—42no—
820C22×D13—42no—
821C22×D13—42no—
822C22×D13—42no—
823C22×D13—42no—
824C22×D13—42no—
825C22×D13—42no—
826C22×D13—42no—
827C22×D13—42no—
828C22×D13—42no—
829C22×D13—42no—
830C22×D13—42no—
831C22×D13—42no—
832C22×D13—42no—
833C22×D13—42no—
834C22×D13—42no—
835C22×D13—42no—
836C22×D13—81no—
837C22×D13—81no—
838C22×D13—81no—
839C22×D13—81no—
840C22×D13—81no—
841C22×D13—81no—
842C22×D13—81no—
843C22×D13—81no—
844C22×D13—816no—
845C22×D13—816no—
846C22×D13—81no—
847C22×D13—81no—
848C22×D13C22×D411yescharacteristic
849C22×D13C22×D411yescharacteristic
850C22×D13C22×D411yescharacteristic
851D4×C13—22no—
852D4×C13—21no—
853D4×C13—21no—
854D4×C13—21no—
855D4×C13—21no—
856D4×C13—21no—
857D4×C13—21no—
858D4×C13—21no—
859D4×C13—42no—
860D4×C13—42no—
861D4×C13—42no—
862D4×C13—42no—
863D4×C13—42no—
864D4×C13—42no—
865D4×C13—81no—
866D4×C13—81no—
867D4×C13H(5,𝔽2)12yes—
868C2×C4×C13—21no—
869C2×C4×C13—21no—
870C2×C4×C13—21no—
871C2×C4×C13—21no—
872C2×C4×C13—21no—
873C2×C4×C13—21no—
874C2×C4×C13—21no—
875C2×C4×C13—21no—
876C2×C4×C13—42no—
877C2×C4×C13—81no—
878C2×C4×C13—81no—
879C2×C4×C13C22×D411yescharacteristic
880C2×C4×C13C22×D411yescharacteristic
881C2×C4×C13C22×D411yescharacteristic
882C2×C4×C13C22×D411yescharacteristic
883C2×C4×C13C2511yescharacteristic
884C22⋊D13—24no—
885C22⋊D13—22no—
886C22⋊D13—42no—
887C22⋊D13—42no—
888C22⋊D13—42no—
889C22⋊D13—42no—
890C22⋊D13—42no—
891C22⋊D13—42no—
892C22⋊D13—42no—
893C22⋊D13—42no—
894C22⋊D13—42no—
895C22⋊D13—42no—
896C22⋊D13—42no—
897C22⋊D13—42no—
898C22⋊D13—42no—
899C22⋊D13—42no—
900C22⋊D13—81no—
901C22⋊D13—81no—
902C22⋊D13—81no—
903C22⋊D13—81no—
904C22⋊D13—81no—
905C22⋊D13—81no—
906C22⋊D13—81no—
907C22⋊D13AGL(1,ℤ/8)14yescomplemented
908C2×Dic13—21no—
909C2×Dic13—21no—
910C2×Dic13—21no—
911C2×Dic13—41no—
912C2×Dic13—41no—
913C2×Dic13—42no—
914C2×Dic13—81no—
915C2×Dic13C22×D411yescharacteristic
916C2×Dic13C22×D411yescharacteristic
917C2×Dic13C22×D411yescharacteristic
918C2×Dic13C22×D411yescharacteristic
919C2×Dic13C22×D411yescharacteristic
920D52—22no—
921D52—21no—
922D52—21no—
923D52—21no—
924D52—21no—
925D52—21no—
926D52—21no—
927D52—21no—
928D52—21no—
929D52—21no—
930D52—42no—
931D52—42no—
932D52—42no—
933D52—42no—
934D52—42no—
935D52—42no—
936D52—42no—
937D52—42no—
938D52—81no—
939D52—81no—
940D52—81no—
941D52—81no—
942D52H(5,𝔽2)12yes—
943C4×D13—22no—
944C4×D13—21no—
945C4×D13—21no—
946C4×D13—21no—
947C4×D13—21no—
948C4×D13—21no—
949C4×D13—21no—
950C4×D13—22no—
951C4×D13—41no—
952C4×D13—41no—
953C4×D13—41no—
954C4×D13—41no—
955C4×D13—42no—
956C4×D13—42no—
957C4×D13—42no—
958C4×D13—42no—
959C4×D13—81no—
960C4×D13—81no—
961C4×D13—81no—
962Dic26—21no—
963Dic26—21no—
964Dic26—81no—
965C8×C13—21no—
966C8×C13—21no—
967C8×C13—21no—
968C8×C13—21no—
969#1055—21no—
970#1055—21no—
971#1055—21no—
972#1055—21no—
973C23×D4—131no—
974C23×D4—131no—
975C23×D4—261no—
976C2×AGL(1,ℤ/8)—131no—
977C2×AGL(1,ℤ/8)—131no—
978C2×AGL(1,ℤ/8)—131no—
979C2×AGL(1,ℤ/8)—131no—
980C22×D8—131no—
981C22×D8—131no—
982C22×D8—131no—
983C22×D8—131no—
984#555—131no—
985#554—131no—
986#553—131no—
987#553—261no—
988#553C2×D1311yescharacteristic, complemented
989#550—131no—
990#546—131no—
991#546—131no—
992#546—261no—
993#546—261no—
994D42—131no—
995D42—131no—
996D42—131no—
997D42—131no—
998D42—131no—
999D42—131no—
1000D42—131no—
1001D42—131no—
1002D42—261no—
1003D42—261no—
1004D42—261no—
1005D42—261no—
1006D42—261no—
1007D42C2×D1311yescharacteristic, complemented
1008#540—261no—
1009#538—261no—
1010#538—261no—
1011#532—131no—
1012C2×#127—131no—
1013#529—131no—
1014#525—131no—
1015#525—131no—
1016C2×#121—131no—
1017C2×#121—131no—
1018C2×#121—131no—
1019C2×#121—131no—
1020C2×#121—261no—
1021C2×#120—261no—
1022C2×#120—261no—
1023#518—261no—
1024C2×C4×D4—131no—
1025C2×C4×D4—131no—
1026#496—131no—
1027#496—131no—
1028#493—131no—
1029#493—131no—
1030#490—131no—
1031#490C2×D1311yescharacteristic, complemented
1032#486—131no—
1033#486—131no—
1034#484—131no—
1035#482—131no—
1036#482—131no—
1037#482—131no—
1038#482C2×D1311yescharacteristic, complemented
1039#481—131no—
1040#481—131no—
1041#481—131no—
1042#481—131no—
1043#481—131no—
1044#481—131no—
1045#481C2×D1311yescharacteristic, complemented
1046#478—131no—
1047#478C2×D1311yescharacteristic, complemented
1048#476—131no—
1049#476—131no—
1050#469—131no—
1051#469—131no—
1052#469—131no—
1053#469—131no—
1054#469—131no—
1055#469—131no—
1056#469—131no—
1057#469C2×D1311yescharacteristic, complemented
1058#466—131no—
1059#466—131no—
1060#466—131no—
1061#466C2×D1311yescharacteristic, complemented
1062#465—131no—
1063#465—131no—
1064#465—131no—
1065#465—131no—
1066#463—131no—
1067#463—131no—
1068#460—131no—
1069#460—131no—
1070#459—131no—
1071#459—131no—
1072#459—131no—
1073#459—131no—
1074#459—131no—
1075#459—131no—
1076#459—131no—
1077#459C2×D1311yescharacteristic, complemented
1078#450—131no—
1079#450—131no—
1080#450—131no—
1081#450—131no—
1082#450—131no—
1083#450—131no—
1084#450—131no—
1085#449—131no—
1086#449—131no—
1087#449—131no—
1088#449—131no—
1089#447—131no—
1090#447—131no—
1091#447—131no—
1092#447—131no—
1093#447—131no—
1094#447—131no—
1095#447—131no—
1096#447—131no—
1097#447—131no—
1098#447—131no—
1099#447—131no—
1100#447—131no—
1101#447—131no—
1102#447—131no—
1103#447—131no—
1104#447—131no—
1105#447—131no—
1106#447—131no—
1107#447—131no—
1108#447—131no—
1109#447—131no—
1110#447—131no—
1111#447—131no—
1112#447C2×D1311yescharacteristic, complemented
1113#447C2×D1311yescharacteristic, complemented
1114#442—131no—
1115#442—131no—
1116#442—131no—
1117#442C2×D1311yescharacteristic, complemented
1118C4×SD16—131no—
1119C4×SD16—131no—
1120C4×D8—131no—
1121C4×D8—131no—
1122#436—131no—
1123#436—131no—
1124#435—131no—
1125#435—131no—
1126#435—131no—
1127#435C2×D1311yescharacteristic, complemented
1128C8×D4—131no—
1129C8×D4—131no—
1130#432—131no—
1131#431—131no—
1132#418—131no—
1133#418—131no—
1134#418—131no—
1135#418C2×D1311yescharacteristic, complemented
1136C2×#102—131no—
1137C2×#102—131no—
1138C2×#102—131no—
1139C2×#102C2×D1311yescharacteristic, complemented
1140#407—131no—
1141#407—131no—
1142C2×C22⋊C8—131no—
1143C2×C22⋊C8—131no—
1144C22×C13—21no—
1145C22×C13—21no—
1146C22×C13—21no—
1147C22×C13—22no—
1148C22×C13—21no—
1149C22×C13—21no—
1150C22×C13—41no—
1151C22×C13—41no—
1152C22×C13—41no—
1153C22×C13—41no—
1154C22×C13—41no—
1155C22×C13—41no—
1156C22×C13—41no—
1157C22×C13—41no—
1158C22×C13—41no—
1159C22×C13—41no—
1160C22×C13—41no—
1161C22×C13—84no—
1162C22×C13—84no—
1163C22×C13C2×AGL(1,ℤ/8)12yes—
1164C22×C13C23×D411yescharacteristic
1165C2×D13—21no—
1166C2×D13—21no—
1167C2×D13—21no—
1168C2×D13—21no—
1169C2×D13—21no—
1170C2×D13—22no—
1171C2×D13—21no—
1172C2×D13—21no—
1173C2×D13—44no—
1174C2×D13—44no—
1175C2×D13—48no—
1176C2×D13—41no—
1177C2×D13—41no—
1178C2×D13—41no—
1179C2×D13—41no—
1180C2×D13—41no—
1181C2×D13—41no—
1182C2×D13—41no—
1183C2×D13—41no—
1184C2×D13—41no—
1185C2×D13—41no—
1186C2×D13—41no—
1187C2×D13—41no—
1188C2×D13—41no—
1189C2×D13—41no—
1190C2×D13—84no—
1191C2×D13—84no—
1192C2×D13—84no—
1193C2×D13—84no—
1194C2×D13—84no—
1195C2×D13—84no—
1196C2×D13—84no—
1197C2×D13—84no—
1198C2×D13—162no—
1199C2×D13—162no—
1200C2×D13C2×AGL(1,ℤ/8)12yes—
1201C2×D13#57612yes—
1202C4×C13—21no—
1203C4×C13—21no—
1204C4×C13—21no—
1205C4×C13—21no—
1206C4×C13—41no—
1207C4×C13—41no—
1208C4×C13—41no—
1209C4×C13—41no—
1210C4×C13C2×H(5,𝔽2)11yescharacteristic
1211C4×C13C2×H(5,𝔽2)11yescharacteristic
1212Dic13—21no—
1213Dic13—21no—
1214Dic13—21no—
1215Dic13—21no—
1216Dic13—41no—
1217Dic13—41no—
1218Dic13—41no—
1219Dic13C2×AGL(1,ℤ/8)12yes—
1220C25—261no—
1221C25—261no—
1222C2×#41—131no—
1223C2×#41—131no—
1224C2×#41—261no—
1225C22×D4—21no—
1226C22×D4—131no—
1227C22×D4—131no—
1228C22×D4—131no—
1229C22×D4—131no—
1230C22×D4—131no—
1231C22×D4—131no—
1232C22×D4—131no—
1233C22×D4—131no—
1234C22×D4—131no—
1235C22×D4—131no—
1236C22×D4—131no—
1237C22×D4—131no—
1238C22×D4—261no—
1239C22×D4—261no—
1240C22×D4—261no—
1241C22×D4—261no—
1242C22×D4—261no—
1243C22×D4—261no—
1244C22×D4—261no—
1245C22×D4—261no—
1246C22×D4—261no—
1247C22×D4—261no—
1248C22×D4—261no—
1249C22×D4—261no—
1250C22×D4—261no—
1251C22×D4—261no—
1252C22×D4—261no—
1253C22×D4—261no—
1254C22×D4—261no—
1255C22×D4—261no—
1256C22×D4—261no—
1257C22×D4—261no—
1258C22×D4—522no—
1259C22×D4—522no—
1260C22×D4—522no—
1261C22×D4—522no—
1262C22×D4—528no—
1263C22×D4C22×D1311yescharacteristic
1264C22×D4C22×D1311yescharacteristic
1265C23×C4—131no—
1266C23×C4—131no—
1267C23×C4—261no—
1268AGL(1,ℤ/8)—522no—
1269AGL(1,ℤ/8)—522no—
1270AGL(1,ℤ/8)—522no—
1271AGL(1,ℤ/8)—522no—
1272C2×SD16—131no—
1273C2×SD16—131no—
1274C2×SD16—131no—
1275C2×SD16—131no—
1276C2×SD16—131no—
1277C2×SD16—131no—
1278C2×D8—131no—
1279C2×D8—131no—
1280C2×D8—131no—
1281C2×D8—131no—
1282C2×D8—131no—
1283C2×D8—131no—
1284C2×D8—131no—
1285C2×D8—131no—
1286C2×D8—131no—
1287C2×D8—131no—
1288C2×D8—131no—
1289C2×D8—131no—
1290C2×D8—131no—
1291C2×D8—131no—
1292C2×D8—131no—
1293C2×D8—522no—
1294C2×D8—522no—
1295C2×D8—522no—
1296C2×D8—522no—
1297C2×D8C22×D1311yescharacteristic
1298C2×D8C22×D1311yescharacteristic, complemented
1299C2×D8C22×D1311yescharacteristic, complemented
1300C2×M16—131no—
1301C2×M16—131no—
1302C2×M16—131no—
1303C2×M16C22×D1311yescharacteristic, complemented
1304C22×C8—131no—
1305C22×C8—131no—
1306C22×C8—131no—
1307C22×C8C22×D1311yescharacteristic, complemented
1308C4⋊Q8—131no—
1309#127—131no—
1310#127—131no—
1311#127—131no—
1312#127—131no—
1313#127—261no—
1314#127—261no—
1315#127—261no—
1316#127C22×D1311yescharacteristic
1317#126—21no—
1318#126—261no—
1319#126—261no—
1320#125—261no—
1321#125C22×D1311yescharacteristic, complemented
1322#124—131no—
1323#124—261no—
1324#124—261no—
1325#124—261no—
1326#123—21no—
1327#123—261no—
1328#123—261no—
1329#123—261no—
1330#123—261no—
1331#123—261no—
1332#123—261no—
1333C22⋊Q8—131no—
1334C22⋊Q8—131no—
1335C22⋊Q8—131no—
1336C22⋊Q8—261no—
1337C22⋊Q8—261no—
1338#121—21no—
1339#121—21no—
1340#121—131no—
1341#121—131no—
1342#121—131no—
1343#121—131no—
1344#121—131no—
1345#121—131no—
1346#121—131no—
1347#121—131no—
1348#121—131no—
1349#121—131no—
1350#121—131no—
1351#121—131no—
1352#121—131no—
1353#121—261no—
1354#121—261no—
1355#121—261no—
1356#121—261no—
1357#121—261no—
1358#121—261no—
1359#121—261no—
1360#121—261no—
1361#121—261no—
1362#121—261no—
1363#121—261no—
1364#121—261no—
1365#121—261no—
1366#121—261no—
1367#121—261no—
1368#121—261no—
1369#121—261no—
1370#121—261no—
1371#121—261no—
1372#121—261no—
1373#121—261no—
1374#121—261no—
1375#121—261no—
1376#121C22×D1311yescharacteristic
1377#121C22×D1311yescharacteristic
1378#121C22×D1311yescharacteristic, complemented
1379#121C22×D1311yescharacteristic, complemented
1380#120—21no—
1381#120—21no—
1382#120—261no—
1383#120—261no—
1384#120—261no—
1385#120—261no—
1386#120—261no—
1387#120—261no—
1388#120—261no—
1389#120—261no—
1390#120—261no—
1391#120—261no—
1392#120—261no—
1393#120—261no—
1394#120—261no—
1395#120—261no—
1396#120—261no—
1397#120—261no—
1398#120—261no—
1399#120—261no—
1400#120—261no—
1401#120—261no—
1402C4×Q8—131no—
1403C4×D4—21no—
1404C4×D4—131no—
1405C4×D4—131no—
1406C4×D4—131no—
1407C4×D4—131no—
1408C4×D4—131no—
1409C4×D4—131no—
1410C4×D4—131no—
1411C4×D4—131no—
1412C4×D4—131no—
1413C4×D4—131no—
1414C4×D4—131no—
1415C4×D4—131no—
1416C4×D4—261no—
1417C4×D4—261no—
1418C4×D4—261no—
1419C4×D4—261no—
1420C4×D4—261no—
1421C4×D4—261no—
1422C4×D4—261no—
1423C4×D4—261no—
1424C4×D4—261no—
1425C4×D4—261no—
1426C4×D4—261no—
1427C4×D4C22×D1311yescharacteristic
1428C4×D4C22×D1311yescharacteristic
1429C4×D4C22×D1311yescharacteristic, complemented
1430#117—131no—
1431#117—261no—
1432#117—261no—
1433#117C22×D1311yescharacteristic, complemented
1434C2×C4⋊C4—131no—
1435C2×C4⋊C4—131no—
1436C2×C4⋊C4—131no—
1437C2×C4⋊C4C22×D1311yescharacteristic, complemented
1438C2×C22⋊C4—131no—
1439C2×C22⋊C4—131no—
1440C2×C22⋊C4—261no—
1441C2×C22⋊C4—261no—
1442C2×C22⋊C4—261no—
1443C2×C22⋊C4—261no—
1444C2×C22⋊C4—261no—
1445C2×C22⋊C4—261no—
1446C2×C22⋊C4—261no—
1447C2×C42—131no—
1448#107—131no—
1449#107C22×D1311yescharacteristic, complemented
1450#106—131no—
1451#106—131no—
1452#106—131no—
1453#106—131no—
1454#106C22×D1311yescharacteristic, complemented
1455#106C22×D1311yescharacteristic, complemented
1456C4⋊C8—131no—
1457C4⋊C8—131no—
1458C4⋊C8—131no—
1459C4⋊C8C22×D1311yescharacteristic, complemented
1460#103—131no—
1461#103—131no—
1462#102—131no—
1463#102—131no—
1464#102—131no—
1465#102—131no—
1466#102—131no—
1467#102—131no—
1468#102—131no—
1469#102—131no—
1470#102—131no—
1471#102—131no—
1472#102—131no—
1473#102—131no—
1474#102—131no—
1475#102—131no—
1476#102—131no—
1477#102—131no—
1478#102—131no—
1479#102—131no—
1480#102—131no—
1481#102—131no—
1482#102C22×D1311yescharacteristic
1483#102C22×D1311yescharacteristic
1484#102C22×D1311yescharacteristic
1485#102C22×D1311yescharacteristic, complemented
1486#102C22×D1311yescharacteristic, complemented
1487#102C22×D1311yescharacteristic, complemented
1488#102C22×D1311yescharacteristic, complemented
1489#102C22×D1311yescharacteristic, complemented
1490#102C22×D1311yescharacteristic, complemented
1491#102C22×D1311yescharacteristic, complemented
1492C22⋊C8—131no—
1493C22⋊C8—131no—
1494C22⋊C8—131no—
1495C22⋊C8—131no—
1496C22⋊C8—131no—
1497C22⋊C8—131no—
1498C22⋊C8—131no—
1499C22⋊C8—131no—
1500C22⋊C8—131no—
1501C22⋊C8—131no—
1502C22⋊C8C22×D1311yescharacteristic, complemented
1503C22⋊C8C22×D1311yescharacteristic, complemented
1504#97—131no—
1505#97C22×D1311yescharacteristic, complemented
1506C4×C8—131no—
1507C4×C8—131no—
1508C2×C13—22no—
1509C2×C13—41no—
1510C2×C13—42no—
1511C2×C13—81no—
1512C2×C13—81no—
1513C2×C13—81no—
1514C2×C13#348411yescharacteristic
1515C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
1516C2×C13C2×#57611yescharacteristic
1517D13—22no—
1518D13—22no—
1519D13—41no—
1520D13—42no—
1521D13—81no—
1522D13—81no—
1523D13—81no—
1524D13—81no—
1525C24—21no—
1526C24—21no—
1527C24—131no—
1528C24—131no—
1529C24—261no—
1530C24—261no—
1531C24—261no—
1532C24—261no—
1533C24—261no—
1534C24—261no—
1535C24—261no—
1536C24—261no—
1537C24—261no—
1538C24—261no—
1539C24—261no—
1540C24—524no—
1541C24—524no—
1542C24—524no—
1543C24—524no—
1544C24—1042no—
1545C24—1042no—
1546#41—521no—
1547#41—521no—
1548#41—521no—
1549#41—521no—
1550#41—1042no—
1551C2×Q8—131no—
1552C2×Q8—261no—
1553C2×D4—22no—
1554C2×D4—22no—
1555C2×D4—21no—
1556C2×D4—21no—
1557C2×D4—21no—
1558C2×D4—21no—
1559C2×D4—21no—
1560C2×D4—21no—
1561C2×D4—21no—
1562C2×D4—21no—
1563C2×D4—41no—
1564C2×D4—41no—
1565C2×D4—44no—
1566C2×D4—131no—
1567C2×D4—131no—
1568C2×D4—131no—
1569C2×D4—131no—
1570C2×D4—131no—
1571C2×D4—131no—
1572C2×D4—131no—
1573C2×D4—131no—
1574C2×D4—262no—
1575C2×D4—262no—
1576C2×D4—261no—
1577C2×D4—261no—
1578C2×D4—261no—
1579C2×D4—261no—
1580C2×D4—261no—
1581C2×D4—261no—
1582C2×D4—261no—
1583C2×D4—261no—
1584C2×D4—261no—
1585C2×D4—261no—
1586C2×D4—261no—
1587C2×D4—261no—
1588C2×D4—261no—
1589C2×D4—261no—
1590C2×D4—261no—
1591C2×D4—261no—
1592C2×D4—261no—
1593C2×D4—261no—
1594C2×D4—261no—
1595C2×D4—261no—
1596C2×D4—261no—
1597C2×D4—264no—
1598C2×D4—262no—
1599C2×D4—262no—
1600C2×D4—262no—
1601C2×D4—262no—
1602C2×D4—262no—
1603C2×D4—262no—
1604C2×D4—261no—
1605C2×D4—261no—
1606C2×D4—261no—
1607C2×D4—261no—
1608C2×D4—261no—
1609C2×D4—261no—
1610C2×D4—261no—
1611C2×D4—261no—
1612C2×D4—261no—
1613C2×D4—261no—
1614C2×D4—261no—
1615C2×D4—261no—
1616C2×D4—261no—
1617C2×D4—521no—
1618C2×D4—521no—
1619C2×D4—521no—
1620C2×D4—521no—
1621C2×D4—524no—
1622C2×D4—521no—
1623C2×D4—521no—
1624C2×D4—521no—
1625C2×D4—521no—
1626C2×D4—521no—
1627C2×D4—521no—
1628C2×D4—521no—
1629C2×D4—521no—
1630C2×D4—521no—
1631C2×D4—521no—
1632C2×D4—524no—
1633C2×D4—524no—
1634C2×D4—524no—
1635C2×D4—524no—
1636C2×D4—524no—
1637C2×D4—524no—
1638C2×D4—524no—
1639C2×D4—524no—
1640C2×D4—524no—
1641C2×D4—524no—
1642C2×D4—524no—
1643C2×D4—524no—
1644C2×D4—524no—
1645C2×D4—524no—
1646C2×D4—524no—
1647C2×D4—524no—
1648C2×D4—1042no—
1649C2×D4—1042no—
1650C2×D4—1042no—
1651C2×D4D4×D1311yescharacteristic
1652C2×D4C23×D1311yescharacteristic
1653C2×D4C23×D1311yescharacteristic
1654C2×D4C23×D1311yescharacteristic
1655C2×D4C23×D1311yescharacteristic
1656C22×C4—21no—
1657C22×C4—21no—
1658C22×C4—21no—
1659C22×C4—131no—
1660C22×C4—131no—
1661C22×C4—131no—
1662C22×C4—131no—
1663C22×C4—131no—
1664C22×C4—131no—
1665C22×C4—131no—
1666C22×C4—131no—
1667C22×C4—131no—
1668C22×C4—131no—
1669C22×C4—131no—
1670C22×C4—261no—
1671C22×C4—261no—
1672C22×C4—261no—
1673C22×C4—261no—
1674C22×C4—261no—
1675C22×C4—261no—
1676C22×C4—261no—
1677C22×C4—261no—
1678C22×C4—261no—
1679C22×C4—521no—
1680C22×C4—521no—
1681C22×C4—521no—
1682C22×C4—521no—
1683C22×C4—524no—
1684C22×C4C23×D1311yescharacteristic
1685C22×C4C23×D1311yescharacteristic
1686SD16—262no—
1687SD16—262no—
1688SD16—521no—
1689SD16—521no—
1690SD16—521no—
1691SD16—521no—
1692D8—22no—
1693D8—41no—
1694D8—41no—
1695D8—262no—
1696D8—262no—
1697D8—262no—
1698D8—262no—
1699D8—262no—
1700D8—521no—
1701D8—521no—
1702D8—521no—
1703D8—521no—
1704D8—521no—
1705D8—521no—
1706D8—521no—
1707D8—521no—
1708D8—521no—
1709D8—521no—
1710M16—41no—
1711M16—521no—
1712M16—521no—
1713M16—521no—
1714C2×C8—41no—
1715C2×C8—131no—
1716C2×C8—131no—
1717C2×C8—131no—
1718C2×C8—131no—
1719C2×C8—521no—
1720C2×C8—521no—
1721C2×C8—521no—
1722C2×C8C23×D1311yescharacteristic
1723C2×C8C23×D1311yescharacteristic
1724C2×C8C23×D1311yescharacteristic
1725C2×C8C23×D1311yescharacteristic
1726C4⋊C4—21no—
1727C4⋊C4—21no—
1728C4⋊C4—21no—
1729C4⋊C4—131no—
1730C4⋊C4—131no—
1731C4⋊C4—131no—
1732C4⋊C4—131no—
1733C4⋊C4—131no—
1734C4⋊C4—261no—
1735C4⋊C4—261no—
1736C4⋊C4—261no—
1737C4⋊C4—261no—
1738C4⋊C4—261no—
1739C4⋊C4—261no—
1740C4⋊C4—261no—
1741C4⋊C4D4×D1311yescharacteristic
1742C4⋊C4C23×D1311yescharacteristic
1743C4⋊C4C23×D1311yescharacteristic
1744C4⋊C4C23×D1311yescharacteristic
1745C4⋊C4C23×D1311yescharacteristic
1746C22⋊C4—21no—
1747C22⋊C4—21no—
1748C22⋊C4—21no—
1749C22⋊C4—21no—
1750C22⋊C4—21no—
1751C22⋊C4—21no—
1752C22⋊C4—21no—
1753C22⋊C4—131no—
1754C22⋊C4—131no—
1755C22⋊C4—131no—
1756C22⋊C4—131no—
1757C22⋊C4—131no—
1758C22⋊C4—131no—
1759C22⋊C4—261no—
1760C22⋊C4—261no—
1761C22⋊C4—261no—
1762C22⋊C4—261no—
1763C22⋊C4—261no—
1764C22⋊C4—261no—
1765C22⋊C4—261no—
1766C22⋊C4—261no—
1767C22⋊C4—261no—
1768C22⋊C4—261no—
1769C22⋊C4—261no—
1770C22⋊C4—261no—
1771C22⋊C4—261no—
1772C22⋊C4—261no—
1773C22⋊C4—261no—
1774C22⋊C4—261no—
1775C22⋊C4—261no—
1776C22⋊C4—261no—
1777C22⋊C4—261no—
1778C22⋊C4—261no—
1779C22⋊C4—261no—
1780C22⋊C4—261no—
1781C22⋊C4—261no—
1782C22⋊C4—261no—
1783C22⋊C4D4×D1311yescharacteristic
1784C22⋊C4D4×D1311yescharacteristic
1785C42—21no—
1786C42—131no—
1787C42—131no—
1788C42—131no—
1789C42—261no—
1790C42—261no—
1791C42C23×D1311yescharacteristic
1792C13#6159111yescharacteristic, complemented, Sylow
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—42no—
1798C23—42no—
1799C23—42no—
1800C23—42no—
1801C23—81no—
1802C23—81no—
1803C23—131no—
1804C23—131no—
1805C23—131no—
1806C23—262no—
1807C23—262no—
1808C23—262no—
1809C23—264no—
1810C23—262no—
1811C23—261no—
1812C23—261no—
1813C23—261no—
1814C23—261no—
1815C23—261no—
1816C23—521no—
1817C23—521no—
1818C23—522no—
1819C23—522no—
1820C23—522no—
1821C23—522no—
1822C23—522no—
1823C23—522no—
1824C23—522no—
1825C23—522no—
1826C23—522no—
1827C23—522no—
1828C23—522no—
1829C23—522no—
1830C23—522no—
1831C23—522no—
1832C23—522no—
1833C23—522no—
1834C23—522no—
1835C23—522no—
1836C23—522no—
1837C23—522no—
1838C23—522no—
1839C23—522no—
1840C23—1041no—
1841C23—1041no—
1842C23—1041no—
1843C23—1041no—
1844C23—1041no—
1845C23—1041no—
1846C23—1041no—
1847C23—1041no—
1848C23—1041no—
1849C23—1041no—
1850C23—10416no—
1851C23—10416no—
1852C23C2×D4×D1311yescharacteristic
1853C23C2×D4×D1311yescharacteristic
1854Q8—261no—
1855Q8—261no—
1856Q8—1041no—
1857D4—22no—
1858D4—21no—
1859D4—21no—
1860D4—21no—
1861D4—21no—
1862D4—21no—
1863D4—21no—
1864D4—21no—
1865D4—42no—
1866D4—42no—
1867D4—42no—
1868D4—42no—
1869D4—42no—
1870D4—42no—
1871D4—81no—
1872D4—81no—
1873D4—134no—
1874D4—132no—
1875D4—262no—
1876D4—262no—
1877D4—264no—
1878D4—261no—
1879D4—261no—
1880D4—261no—
1881D4—261no—
1882D4—261no—
1883D4—261no—
1884D4—261no—
1885D4—261no—
1886D4—261no—
1887D4—522no—
1888D4—522no—
1889D4—522no—
1890D4—522no—
1891D4—522no—
1892D4—522no—
1893D4—522no—
1894D4—522no—
1895D4—522no—
1896D4—522no—
1897D4—522no—
1898D4—522no—
1899D4—522no—
1900D4—522no—
1901D4—522no—
1902D4—522no—
1903D4—522no—
1904D4—522no—
1905D4—522no—
1906D4—522no—
1907D4—522no—
1908D4—522no—
1909D4—1041no—
1910D4—1041no—
1911D4—1041no—
1912D4—1041no—
1913D4—1041no—
1914D4—1041no—
1915D4—1041no—
1916D4—1041no—
1917D4—1041no—
1918D4—1041no—
1919D4—1041no—
1920D4#8825612yes—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—42no—
1930C2×C4—81no—
1931C2×C4—81no—
1932C2×C4—131no—
1933C2×C4—131no—
1934C2×C4—131no—
1935C2×C4—131no—
1936C2×C4—131no—
1937C2×C4—262no—
1938C2×C4—262no—
1939C2×C4—261no—
1940C2×C4—261no—
1941C2×C4—261no—
1942C2×C4—261no—
1943C2×C4—261no—
1944C2×C4—261no—
1945C2×C4—261no—
1946C2×C4—261no—
1947C2×C4—261no—
1948C2×C4—521no—
1949C2×C4—521no—
1950C2×C4—521no—
1951C2×C4—521no—
1952C2×C4—522no—
1953C2×C4—522no—
1954C2×C4—522no—
1955C2×C4—522no—
1956C2×C4—522no—
1957C2×C4—521no—
1958C2×C4—521no—
1959C2×C4—1041no—
1960C2×C4—1041no—
1961C2×C4—1041no—
1962C2×C4—1041no—
1963C2×C4C2×D4×D1311yescharacteristic
1964C2×C4C2×D4×D1311yescharacteristic
1965C2×C4C2×D4×D1311yescharacteristic
1966C2×C4C2×D4×D1311yescharacteristic
1967C2×C4C24×D1311yescharacteristic
1968C8—21no—
1969C8—21no—
1970C8—21no—
1971C8—21no—
1972C8—261no—
1973C8—261no—
1974C8—261no—
1975C8—261no—
1976C22—21no—
1977C22—21no—
1978C22—21no—
1979C22—22no—
1980C22—21no—
1981C22—21no—
1982C22—41no—
1983C22—41no—
1984C22—41no—
1985C22—41no—
1986C22—41no—
1987C22—41no—
1988C22—41no—
1989C22—41no—
1990C22—41no—
1991C22—41no—
1992C22—41no—
1993C22—84no—
1994C22—84no—
1995C22—132no—
1996C22—132no—
1997C22—261no—
1998C22—261no—
1999C22—261no—
2000C22—261no—
2001C22—261no—
2002C22—262no—
2003C22—261no—
2004C22—261no—
2005C22—524no—
2006C22—524no—
2007C22—528no—
2008C22—521no—
2009C22—521no—
2010C22—521no—
2011C22—521no—
2012C22—521no—
2013C22—521no—
2014C22—521no—
2015C22—521no—
2016C22—521no—
2017C22—521no—
2018C22—521no—
2019C22—521no—
2020C22—521no—
2021C22—521no—
2022C22—1044no—
2023C22—1044no—
2024C22—1044no—
2025C22—1044no—
2026C22—1044no—
2027C22—1044no—
2028C22—1044no—
2029C22—1044no—
2030C22—2082no—
2031C22—2082no—
2032C22D13×AGL(1,ℤ/8)12yes—
2033C22C22×D4×D1311yescharacteristic
2034C4—21no—
2035C4—21no—
2036C4—21no—
2037C4—21no—
2038C4—41no—
2039C4—41no—
2040C4—41no—
2041C4—41no—
2042C4—132no—
2043C4—261no—
2044C4—261no—
2045C4—261no—
2046C4—261no—
2047C4—521no—
2048C4—521no—
2049C4—521no—
2050C4C2×#8825611yescharacteristic
2051C4D13×H(5,𝔽2)11yescharacteristic
2052C2—22no—
2053C2—41no—
2054C2—42no—
2055C2—81no—
2056C2—81no—
2057C2—81no—
2058C2—262no—
2059C2—262no—
2060C2—521no—
2061C2—522no—
2062C2—1041no—
2063C2—1041no—
2064C2—1041no—
2065C2—1041no—
2066C2#1312846611yescharacteristic
2067C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
2068C2D13×#57611yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3318C2
socleC22×C13C23×D4
hypercenter#3318D13
hypocenterC13#61591
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #13128861C2semidirect
2. D42×D13C2semidirect
3. #13127076C2semidirect
4. #13127074C2semidirect
5. #13126976C2semidirect
6. #13126974C2semidirect
7. #13126971C2semidirect
8. #13126658C2semidirect
9. #13126656C2semidirect
10. #13126510C2semidirect
11. #13126506C2semidirect
12. #13126454C2semidirect
13. #13126453C2semidirect
14. #13126321C2semidirect
15. #13126318C2semidirect
16. #13126312C2semidirect
17. #13126311C2semidirect
18. #13125855C2semidirect
19. #13125753C2semidirect
20. #13125635C2semidirect
21. #13125632C2semidirect
22. #13125605C2semidirect
23. #13125596C2semidirect
24. #13124925C2semidirect
25. #13124888C2semidirect
26. #13124065C2semidirect
27. #13124060C2semidirect
28. C2×#11718434C2semidirect
29. D13×#447C2semidirect
30. #13123866C2semidirect
31. C13×#3318C2semidirect
33. C22×D4×D13C22semidirect
34. C22×D4×D13C22semidirect
35. C13×#553C22semidirect
36. D42×C13C22semidirect
39. D4×C22⋊D13C22semidirect
40. C2×#88186C22semidirect
41. C22×#6104C22semidirect
42. C2×#88165C22semidirect
43. C2×#88165C22semidirect
44. C2×D8×D13C22semidirect
45. C2×D8×D13C22semidirect
46. C2×#88162C22semidirect
47. C22×D104C22semidirect
48. #11719422C22semidirect
49. D13×#127C22semidirect
52. #11719400C22semidirect
53. #11719396C22semidirect
60. #11719314C22semidirect
61. #11719314C22semidirect
62. #11719311C22semidirect
64. D13×#121C22semidirect
65. D13×#121C22semidirect
66. D13×#121C22semidirect
67. #11719304C22semidirect
72. #11719259C22semidirect
74. #11719255C22semidirect
75. D4×D52C22semidirect
76. D4×D52C22semidirect
77. #11719253C22semidirect
80. C4×D4×D13C22semidirect
81. #11719237C22semidirect
82. #11719229C22semidirect
83. #11719216C22semidirect
84. C2×#88149C22semidirect
85. C13×#490C22semidirect
86. C13×#482C22semidirect
87. C13×#481C22semidirect
88. C13×#478C22semidirect
89. C13×#469C22semidirect
90. C13×#466C22semidirect
91. C13×#459C22semidirect
92. C13×#447C22semidirect
93. C13×#447C22semidirect
94. C13×#442C22semidirect
95. C13×#435C22semidirect
96. C13×#418C22semidirect
97. C2×C13×#102C22semidirect
98. #11718879C22semidirect
99. #11718878C22semidirect
100. #11718819C22semidirect
101. #11718817C22semidirect
102. #11718817C22semidirect
103. #11718817C22semidirect
104. #11718817C22semidirect
105. #11718812C22semidirect
106. #11718812C22semidirect
107. #11718811C22semidirect
108. #11718796C22semidirect
109. #11718789C22semidirect
110. #11718787C22semidirect
111. #11718775C22semidirect
112. C8×C22⋊D13C22semidirect
113. C2×#88060C22semidirect
114. #11718735C22semidirect
115. #11718733C22semidirect
116. #11718728C22semidirect
117. #11718727C22semidirect
118. #11718702C22semidirect
119. #11718700C22semidirect
120. #11718700C22semidirect
121. #11718699C22semidirect
122. #11718698C22semidirect
123. #11718697C22semidirect
124. #11718697C22semidirect
125. #11718697C22semidirect
126. #11718677C22semidirect
127. #11718676C22semidirect
128. #11718675C22semidirect
129. #11718675C22semidirect
130. #11718672C22semidirect
131. #11718664C22semidirect
132. #11718662C22semidirect
133. #11718629C22semidirect
134. C2×#88049C22semidirect
135. #11718546C22semidirect
136. #11718545C22semidirect
137. #11718544C22semidirect
138. #11718533C22semidirect
139. #11718531C22semidirect
140. #11718526C22semidirect
141. #11718526C22semidirect
142. #11718525C22semidirect
143. #11718524C22semidirect
144. #11718524C22semidirect
145. #11718524C22semidirect
146. #11718513C22semidirect
147. #11718505C22semidirect
148. #11718504C22semidirect
149. #11718497C22semidirect
150. #11718494C22semidirect
151. #11718447C22semidirect
152. #11718447C22semidirect
153. #11718447C22semidirect
154. #11718443C22semidirect
155. #11718443C22semidirect
156. #11718442C22semidirect
157. #11718440C22semidirect
158. #11718439C22semidirect
159. #11718438C22semidirect
160. #11718438C22semidirect
161. #11718437C22semidirect
162. #11718437C22semidirect
163. #11718437C22semidirect
164. #11718437C22semidirect
165. #11718437C22semidirect
166. #11718436C22semidirect
168. #11718434C22semidirect
169. #11718434C22semidirect
170. #11718434C22semidirect
171. #11718434C22semidirect
172. #11718434C22semidirect
173. #11718434C22semidirect
174. #11718434C22semidirect
175. #11718434C22semidirect
176. #11718434C22semidirect
177. #11718434C22semidirect
178. #11718434C22semidirect
179. #11718434C22semidirect
180. #11718431C22semidirect
181. #11718431C22semidirect
182. D13×#102C22semidirect
183. D13×#102C22semidirect
184. #11718423C22semidirect
185. #11718423C22semidirect
186. #11718422C22semidirect
187. #11718421C22semidirect
188. #11718421C22semidirect
189. #11718419C22semidirect
190. #11718417C22semidirect
191. #11718395C22semidirect
192. #11718393C22semidirect
193. #11718393C22semidirect
194. #11718392C22semidirect
195. #11718390C22semidirect
196. #11718387C22semidirect
197. #11718386C22semidirect
198. D13×C22⋊C8C22semidirect
199. #11718373C22semidirect
200. #11718372C22semidirect
201. #11718367C22semidirect
202. #11718366C22semidirect
212. C2×#6129C23semidirect
240. C2×D4×D13C23semidirect
242. C2×#6127C23semidirect
247. C22×D52C23semidirect
252. C2×C13×D8C23semidirect
253. C2×C13×D8C23semidirect
254. C2×C13×M16C23semidirect
255. C22×C8×C13C23semidirect
258. C13×#125C23semidirect
264. C13×#121C23semidirect
265. C13×#121C23semidirect
271. C4×D4×C13C23semidirect
272. C13×#117C23semidirect
273. C2×C13×C4⋊C4C23semidirect
281. #88194C23semidirect
305. C2×#6105C23semidirect
306. C2×#6105C23semidirect
312. C2×#6104C23semidirect
313. C2×#6104C23semidirect
314. C2×#6104C23semidirect
315. C2×#6104C23semidirect
316. C2×#6104C23semidirect
317. C2×#6104C23semidirect
322. #88184C23semidirect
331. #88178C23semidirect
332. C2×#6099C23semidirect
333. C22×#1055C23semidirect
342. C2×D104C23semidirect
343. C2×D104C23semidirect
344. C2×D104C23semidirect
345. C2×D104C23semidirect
347. C2×#6095C23semidirect
348. C2×#6095C23semidirect
349. C2×#6094C23semidirect
350. C2×#6094C23semidirect
351. C2×C8×D13C23semidirect
352. C2×C8×D13C23semidirect
356. #88151C23semidirect
366. #88149C23semidirect
367. #88149C23semidirect
368. #88149C23semidirect
376. #88147C23semidirect
378. #88146C23semidirect
381. C4⋊C4×D13C23semidirect
383. #88142C23semidirect
384. #88141C23semidirect
422. #88129C23semidirect
428. C4×D52C23semidirect
431. C13×#107C23semidirect
432. C13×#106C23semidirect
433. C13×#106C23semidirect
434. C13×C4⋊C8C23semidirect
438. C13×#102C23semidirect
439. C13×#102C23semidirect
440. C13×#102C23semidirect
441. C13×#102C23semidirect
442. C13×#102C23semidirect
443. C13×#102C23semidirect
444. C13×#102C23semidirect
445. C13×C22⋊C8C23semidirect
446. C13×C22⋊C8C23semidirect
447. C13×#97C23semidirect
449. #88072C23semidirect
450. #88072C23semidirect
451. #88072C23semidirect
452. C22⋊#1055C23semidirect
453. C22⋊#1055C23semidirect
455. #88061C23semidirect
456. #88061C23semidirect
457. #88061C23semidirect
458. #88061C23semidirect
463. #88060C23semidirect
464. #88060C23semidirect
465. #88060C23semidirect
466. #88060C23semidirect
467. #88057C23semidirect
468. #88056C23semidirect
469. #88054C23semidirect
470. #88054C23semidirect
471. C8×Dic13C23semidirect
472. C8×Dic13C23semidirect
473. #88050C23semidirect
477. #88049C23semidirect
478. #88049C23semidirect
479. #88049C23semidirect
480. #88049C23semidirect
481. #88049C23semidirect
482. #88049C23semidirect
483. #88049C23semidirect
484. #88049C23semidirect
485. #88048C23semidirect
486. #88048C23semidirect
487. #88048C23semidirect
488. #88047C23semidirect
489. C4⋊#1055C23semidirect
490. #88043C23semidirect
766. #3318D13semidirect
907. C22⋊D13AGL(1,ℤ/8)semidirect
988. #553C2×D13semidirect
1007. D42C2×D13semidirect
1031. #490C2×D13semidirect
1038. #482C2×D13semidirect
1045. #481C2×D13semidirect
1047. #478C2×D13semidirect
1057. #469C2×D13semidirect
1061. #466C2×D13semidirect
1077. #459C2×D13semidirect
1112. #447C2×D13semidirect
1113. #447C2×D13semidirect
1117. #442C2×D13semidirect
1127. #435C2×D13semidirect
1135. #418C2×D13semidirect
1139. C2×#102C2×D13semidirect
1298. C2×D8C22×D13semidirect
1299. C2×D8C22×D13semidirect
1303. C2×M16C22×D13semidirect
1307. C22×C8C22×D13semidirect
1321. #125C22×D13semidirect
1378. #121C22×D13semidirect
1379. #121C22×D13semidirect
1429. C4×D4C22×D13semidirect
1433. #117C22×D13semidirect
1437. C2×C4⋊C4C22×D13semidirect
1449. #107C22×D13semidirect
1454. #106C22×D13semidirect
1455. #106C22×D13semidirect
1459. C4⋊C8C22×D13semidirect
1485. #102C22×D13semidirect
1486. #102C22×D13semidirect
1487. #102C22×D13semidirect
1488. #102C22×D13semidirect
1489. #102C22×D13semidirect
1490. #102C22×D13semidirect
1491. #102C22×D13semidirect
1502. C22⋊C8C22×D13semidirect
1503. C22⋊C8C22×D13semidirect
1505. #97C22×D13semidirect
1792. C13#61591semidirect

Maximal subgroups

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

subgroupindex
#131288612
D42×D132
#131270762
#131270742
#131269762
#131269742
#131269712
#131266582
#131266562
#131265102
#131265062
#131264542
#131264532
#131263212
#131263182
#131263122
#131263112
#131258552
#131257532
#131256352
#131256322
#131256052
#131255962
#131249252
#131248882
#131240652
#131240602
C2×#117184342
D13×#4472
#131238662
C13×#33182
#6159113