Finite Group Databasebeta

← #16740503

Subgroups — #16740503

Order 3328.

2286 conjugacy classes of subgroups.

The subgroup lattice has 1930 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128567C211yesmaximal, characteristic, complemented
2#13128466C211yesmaximal, characteristic, complemented
3#13127080C211yesmaximal, characteristic, complemented
4#13127076C211yesmaximal, characteristic, complemented
5#13127036C211yesmaximal, characteristic, complemented
6#13127030C211yesmaximal, characteristic, complemented
7#13126999C211yesmaximal, characteristic, complemented
8#13126988C211yesmaximal, characteristic, complemented
9#13126983C211yesmaximal, characteristic, complemented
10#13126974C211yesmaximal, characteristic, complemented
11#13126973C211yesmaximal, characteristic, complemented
12#13126971C211yesmaximal, characteristic, complemented
13#13126803C211yesmaximal, characteristic, complemented
14#13126797C211yesmaximal, characteristic, complemented
15#13126684C211yesmaximal, characteristic, complemented
16#13126650C211yesmaximal, characteristic, complemented
17#13126642C211yesmaximal, characteristic, complemented
18#13125189C211yesmaximal, characteristic, complemented
19#13124791C211yesmaximal, characteristic, complemented
20#13124752C211yesmaximal, characteristic, complemented
21#13124664C211yesmaximal, characteristic, complemented
22#13124479C211yesmaximal, characteristic, complemented
23#13124448C211yesmaximal, characteristic, complemented
24#13124337C211yesmaximal, characteristic, complemented
25#13124101C211yesmaximal, characteristic, complemented
26D13×#447C211yesmaximal, characteristic, complemented
27#13123683C211yesmaximal, characteristic, complemented
28#13123556C211yesmaximal, characteristic, complemented
29#13123358C211yesmaximal, characteristic, complemented
30C2×#11718431C211yesmaximal, characteristic, complemented
31C13×#3297C211yesmaximal, characteristic, complemented
32C2×#88256C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C13×#553C2211yescharacteristic, complemented
35C13×#546C2211yescharacteristic, complemented
36#11719534C2211yescharacteristic, complemented
37D4×C22⋊D13C2211yescharacteristic, complemented
38C2×#88168C2211yescharacteristic, complemented
39C2×D8×D13C2211yescharacteristic
40C2×D8×D13C2211yescharacteristic, complemented
41C2×#88155C2211yescharacteristic, complemented
42C22×#6094C2211yescharacteristic, complemented
43#11719415—21no—
44#11719410—21no—
45#11719400C2211yescharacteristic, complemented
46#11719394C2211yescharacteristic, complemented
47#11719381C2211yescharacteristic, complemented
48#11719379C2211yescharacteristic
49#11719368—21no—
50#11719363—21no—
51#11719359—21no—
52#11719358—21no—
53#11719335C2211yescharacteristic, complemented
54#11719332C2211yescharacteristic
55#11719323C2211yescharacteristic, complemented
56#11719316C2211yescharacteristic, complemented
57#11719315—21no—
58#11719314—21no—
59#11719314C2211yescharacteristic, complemented
60#11719312C2211yescharacteristic
61#11719312C2211yescharacteristic, complemented
62#11719310—21no—
63D13×#121C2211yescharacteristic, complemented
64#11719301—21no—
65#11719295—21no—
66D13×#120—21no—
67#11719268C2211yescharacteristic, complemented
68#11719260C2211yescharacteristic, complemented
69#11719259—21no—
70D4×D52C2211yescharacteristic, complemented
71D4×D52C2211yescharacteristic, complemented
72#11719252C2211yescharacteristic
73#11719250C2211yescharacteristic
74#11719250C2211yescharacteristic, complemented
75#11719243—21no—
76#11719237C2211yescharacteristic, complemented
77#11719228C2211yescharacteristic, complemented
78#11719219C2211yescharacteristic, complemented
79C2×#88146C2211yescharacteristic, complemented
80#11719195—21no—
81C2×#88136—21no—
82C13×#488C2211yescharacteristic, complemented
83C13×#484C2211yescharacteristic, complemented
84C13×#482C2211yescharacteristic, complemented
85C13×#478C2211yescharacteristic, complemented
86C13×#466C2211yescharacteristic, complemented
87C13×#465C2211yescharacteristic, complemented
88C13×#463C2211yescharacteristic, complemented
89C13×#449C2211yescharacteristic, complemented
90C13×#447C2211yescharacteristic, complemented
91C4×C13×D8C2211yescharacteristic, complemented
92C8×D4×C13C2211yescharacteristic, complemented
93C13×#416C2211yescharacteristic, complemented
94C2×C13×#102C2211yescharacteristic, complemented
95#11718899C2211yescharacteristic, complemented
96#11718893C2211yescharacteristic, complemented
97#11718878C2211yescharacteristic, complemented
98C2×#88072C2211yescharacteristic, complemented
99#11718835C2211yescharacteristic, complemented
100#11718833C2211yescharacteristic, complemented
101#11718826C2211yescharacteristic, complemented
102#11718818C2211yescharacteristic, complemented
103#11718817C2211yescharacteristic, complemented
104#11718817C2211yescharacteristic, complemented
105#11718817C2211yescharacteristic, complemented
106#11718811C2211yescharacteristic, complemented
107D8×Dic13C2211yescharacteristic, complemented
108#11718776C2211yescharacteristic, complemented
109#11718776C2211yescharacteristic, complemented
110C2×#88061C2211yescharacteristic, complemented
111C2×#88061C2211yescharacteristic, complemented
112#11718772C2211yescharacteristic, complemented
113#11718772C2211yescharacteristic, complemented
114#11718728C2211yescharacteristic, complemented
115#11718727C2211yescharacteristic, complemented
116#11718718C2211yescharacteristic, complemented
117#11718716C2211yescharacteristic, complemented
118#11718709C2211yescharacteristic, complemented
119#11718704C2211yescharacteristic, complemented
120#11718700C2211yescharacteristic, complemented
121#11718700C2211yescharacteristic, complemented
122#11718699C2211yescharacteristic, complemented
123#11718697C2211yescharacteristic, complemented
124#11718697C2211yescharacteristic, complemented
125#11718695C2211yescharacteristic, complemented
126#11718676C2211yescharacteristic, complemented
127#11718675C2211yescharacteristic, complemented
128#11718675C2211yescharacteristic, complemented
129#11718672C2211yescharacteristic, complemented
130#11718669C2211yescharacteristic, complemented
131#11718664C2211yescharacteristic, complemented
132#11718662C2211yescharacteristic, complemented
133#11718629C2211yescharacteristic, complemented
134C2×#88049C2211yescharacteristic, complemented
135#11718552C2211yescharacteristic, complemented
136#11718546C2211yescharacteristic, complemented
137#11718546C2211yescharacteristic, complemented
138#11718546C2211yescharacteristic, complemented
139#11718544C2211yescharacteristic, complemented
140#11718541C2211yescharacteristic, complemented
141#11718541C2211yescharacteristic, complemented
142#11718533C2211yescharacteristic, complemented
143#11718531C2211yescharacteristic, complemented
144#11718526C2211yescharacteristic, complemented
145#11718524C2211yescharacteristic, complemented
146#11718522C2211yescharacteristic, complemented
147#11718507C2211yescharacteristic, complemented
148#11718504C2211yescharacteristic, complemented
149#11718500C2211yescharacteristic, complemented
150#11718497C2211yescharacteristic, complemented
151#11718480C2211yescharacteristic, complemented
152#11718475C2211yescharacteristic, complemented
153#11718475C2211yescharacteristic, complemented
154#11718473C2211yescharacteristic, complemented
155#11718472C2211yescharacteristic, complemented
156#11718465C2211yescharacteristic, complemented
157#11718465C2211yescharacteristic, complemented
158#11718465C2211yescharacteristic, complemented
159#11718464C2211yescharacteristic, complemented
160#11718464C2211yescharacteristic, complemented
161#11718461C2211yescharacteristic, complemented
162#11718456C2211yescharacteristic, complemented
163#11718447C2211yescharacteristic, complemented
164#11718446C2211yescharacteristic, complemented
165#11718446C2211yescharacteristic, complemented
166#11718445C2211yescharacteristic, complemented
167#11718443C2211yescharacteristic, complemented
168#11718443C2211yescharacteristic, complemented
169#11718443C2211yescharacteristic, complemented
170#11718435C2211yescharacteristic, complemented
171#11718434C2211yescharacteristic, complemented
172#11718434C2211yescharacteristic, complemented
173#11718434C2211yescharacteristic, complemented
174#11718431C2211yescharacteristic
175#11718431C2211yescharacteristic
176#11718431C2211yescharacteristic, complemented
177#11718431C2211yescharacteristic, complemented
178#11718431C2211yescharacteristic, complemented
179#11718431C2211yescharacteristic, complemented
180#11718431C2211yescharacteristic, complemented
181#11718431C2211yescharacteristic, complemented
182#11718431C2211yescharacteristic, complemented
183#11718431C2211yescharacteristic, complemented
184D13×#102C2211yescharacteristic
185D13×#102C2211yescharacteristic, complemented
186D13×#102C2211yescharacteristic, complemented
187#11718427C2211yescharacteristic, complemented
188#11718425C2211yescharacteristic, complemented
189#11718421C2211yescharacteristic, complemented
190#11718420C2211yescharacteristic, complemented
191#11718397C2211yescharacteristic, complemented
192#11718397C2211yescharacteristic, complemented
193#11718393C2211yescharacteristic, complemented
194#11718393C2211yescharacteristic, complemented
195#11718390C2211yescharacteristic, complemented
196#11718388C2211yescharacteristic, complemented
197#11718386C2211yescharacteristic, complemented
198D13×C22⋊C8C2211yescharacteristic, complemented
199#11718355C2211yescharacteristic, complemented
200C4×D104C2211yescharacteristic, complemented
201#11718350C2211yescharacteristic, complemented
202#11718349C2211yescharacteristic, complemented
203C24×D13—21no—
204C2×C13×#41C2311yescharacteristic
205C22×D4×C13C2311yescharacteristic
206C22×C22⋊D13—21no—
207C22×C22⋊D13—21no—
208#88256—24no—
209#88256—42no—
210C2×#6131C2311yescharacteristic
211C2×#6131C2311yescharacteristic
212C2×#6129—21no—
213C2×#6129—21no—
214C2×D4×D13—24no—
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—42no—
223C2×D4×D13C2311yescharacteristic
224C2×D4×D13C2311yescharacteristic
225C2×D4×D13C2311yescharacteristic
226C2×D4×D13C2311yescharacteristic
227C2×D4×D13C2311yescharacteristic
228C2×D4×D13C2311yescharacteristic
229C2×#6127—21no—
230C2×#6127C2311yescharacteristic
231C22×D52—21no—
232C22×D52—21no—
233C22×D52C2311yescharacteristic
234C22×D52C2311yescharacteristic
235C22×C4×D13C2311yescharacteristic
236C2×C13×SD16C2311yescharacteristic, complemented
237C2×C13×D8C2311yescharacteristic
238C2×C13×D8C2311yescharacteristic
239C22×C8×C13C2311yescharacteristic
240C22×C8×C13C2311yescharacteristic, complemented
241C13×#126—21no—
242C13×#125C2311yescharacteristic, complemented
243C13×#124C2311yescharacteristic
244C13×#123—21no—
245C13×#123—21no—
246C13×C22⋊Q8C2311yescharacteristic
247C13×#121—21no—
248C13×#121—21no—
249C13×#121C2311yescharacteristic
250C13×#121C2311yescharacteristic
251C13×#121C2311yescharacteristic, complemented
252C13×#120—21no—
253C4×D4×C13—21no—
254C4×D4×C13C2311yescharacteristic
255C4×D4×C13C2311yescharacteristic
256C4×D4×C13C2311yescharacteristic, complemented
257C13×#117C2311yescharacteristic, complemented
258C2×C13×C4⋊C4C2311yescharacteristic
259C2×C13×C22⋊C4—21no—
260#88207—21no—
261#88201C2311yescharacteristic
262#88200C2311yescharacteristic
263C2×#6106C2311yescharacteristic, complemented
264#88194—21no—
265#88194—21no—
266#88194C2311yescharacteristic
267#88193—21no—
268#88193—21no—
269#88193—21no—
270#88193—21no—
271#88193D411yescharacteristic
272#88192C2311yescharacteristic
273#88192C2311yescharacteristic
274#88192C2311yescharacteristic, complemented
275#88191—21no—
276#88191—21no—
277#88191—21no—
278#88191—21no—
279#88191—21no—
280#88191D411yescharacteristic
281#88189—21no—
282D4×Dic13—21no—
283D4×Dic13C2311yescharacteristic
284D4×Dic13C2311yescharacteristic, complemented
285C2×#6104C2311yescharacteristic
286C2×#6104C2311yescharacteristic
287C2×#6104C2311yescharacteristic
288C2×#6104C2311yescharacteristic
289C2×#6104C2311yescharacteristic, complemented
290#88184—21no—
291#88184—21no—
292#88184—21no—
293#88184C2311yescharacteristic
294#88184C2311yescharacteristic
295#88184C2311yescharacteristic
296#88184C2311yescharacteristic, complemented
297#88183—21no—
298C4×C22⋊D13—21no—
299C4×C22⋊D13—21no—
300C4×C22⋊D13—21no—
301C4×C22⋊D13C2311yescharacteristic
302C4×C22⋊D13C2311yescharacteristic
303C2×#6103—21no—
304C2×#6103—21no—
305C2×#6103—21no—
306C2×#6103—21no—
307#88180—21no—
308C2×C4⋊Dic13C2311yescharacteristic
309C2×C4⋊Dic13C2311yescharacteristic, complemented
310C2×C4×Dic13—21no—
311C2×#6099C2311yescharacteristic, complemented
312C22×#1055C2311yescharacteristic
313#88168—42no—
314D8×D13—24no—
315D8×D13—42no—
316C2×D104C2311yescharacteristic
317C2×D104C2311yescharacteristic
318C2×D104C2311yescharacteristic, complemented
319#88155—42no—
320C2×#6094—42no—
321C2×#6094C2311yescharacteristic
322C2×#6094C2311yescharacteristic
323C2×#6094C2311yescharacteristic
324C2×#6094C2311yescharacteristic
325C2×#6094C2311yescharacteristic, complemented
326C2×C8×D13C2311yescharacteristic
327C2×C8×D13C2311yescharacteristic
328C2×C8×D13C2311yescharacteristic, complemented
329#88152—21no—
330#88152—21no—
331#88151—21no—
332#88151—21no—
333#88150—21no—
334#88150D411yescharacteristic
335#88149—21no—
336#88149—21no—
337#88149—21no—
338#88149C2311yescharacteristic
339#88149C2311yescharacteristic
340#88149C2311yescharacteristic
341#88149C2311yescharacteristic, complemented
342#88148—21no—
343#88148—21no—
344#88148—21no—
345#88148—21no—
346#88148D411yescharacteristic
347#88147—21no—
348#88147—21no—
349#88147C2311yescharacteristic
350#88147C2311yescharacteristic, complemented
351#88146—21no—
352#88146—21no—
353#88146C2311yescharacteristic
354#88146C2311yescharacteristic
355#88146C2311yescharacteristic
356#88146C2311yescharacteristic
357#88146C2311yescharacteristic
358#88146C2311yescharacteristic, complemented
359C4⋊C4×D13C2311yescharacteristic
360C4⋊C4×D13C2311yescharacteristic, complemented
361#88144C2311yescharacteristic, complemented
362#88143—21no—
363#88142—21no—
364#88142C2311yescharacteristic, complemented
365#88140—21no—
366#88140—21no—
367#88140—21no—
368#88139—21no—
369#88139—21no—
370#88139—21no—
371#88139—21no—
372#88139—21no—
373#88138—21no—
374#88138—21no—
375#88138—21no—
376#88138—21no—
377#88138—21no—
378#88138—21no—
379#88138D411yescharacteristic
380#88137—21no—
381#88137—21no—
382#88137D411yescharacteristic
383#88136—21no—
384#88136—21no—
385#88136—21no—
386#88136—21no—
387#88136—21no—
388#88136—21no—
389#88136—21no—
390#88136—21no—
391#88136—21no—
392#88136—21no—
393#88136—21no—
394#88136—21no—
395#88136D411yescharacteristic
396#88135—21no—
397#88135—21no—
398#88135—21no—
399#88135—21no—
400#88135—21no—
401C22⋊C4×D13—21no—
402C22⋊C4×D13—21no—
403C22⋊C4×D13—21no—
404C22⋊C4×D13—21no—
405C22⋊C4×D13—21no—
406#88133—21no—
407#88132—21no—
408#88132D411yescharacteristic
409#88129—21no—
410#88128C2311yescharacteristic
411C4×D52—21no—
412C4×D52C2311yescharacteristic
413C4×D52C2311yescharacteristic
414C4×D52C2311yescharacteristic, complemented
415#88126—21no—
416#88126C2311yescharacteristic
417#88123C2311yescharacteristic, complemented
418C4×Dic26—21no—
419C13×#107C2311yescharacteristic, complemented
420C13×#107C2311yescharacteristic, complemented
421C13×#106C2311yescharacteristic, complemented
422C13×C4⋊C8C2311yescharacteristic, complemented
423C13×#103C2311yescharacteristic, complemented
424C13×#103C2311yescharacteristic, complemented
425C13×#103C2311yescharacteristic, complemented
426C13×#102C2311yescharacteristic
427C13×#102C2311yescharacteristic
428C13×#102C2311yescharacteristic
429C13×#102C2311yescharacteristic
430C13×#102C2311yescharacteristic
431C13×#102C2311yescharacteristic
432C13×#102C2311yescharacteristic, complemented
433C13×C22⋊C8C2311yescharacteristic
434C13×C22⋊C8C2311yescharacteristic, complemented
435C4×C8×C13C2311yescharacteristic, complemented
436#88075C2311yescharacteristic, complemented
437#88075C2311yescharacteristic, complemented
438#88075C2311yescharacteristic, complemented
439#88072C2311yescharacteristic
440#88072C2311yescharacteristic
441#88072C2311yescharacteristic
442#88072C2311yescharacteristic
443#88072C2311yescharacteristic
444#88072C2311yescharacteristic
445#88072C2311yescharacteristic, complemented
446C22⋊#1055C2311yescharacteristic
447C22⋊#1055C2311yescharacteristic, complemented
448#88061C2311yescharacteristic
449#88061C2311yescharacteristic
450#88061C2311yescharacteristic
451#88061C2311yescharacteristic
452#88061C2311yescharacteristic
453#88061C2311yescharacteristic
454#88061C2311yescharacteristic, complemented
455#88061C2311yescharacteristic, complemented
456#88061C2311yescharacteristic, complemented
457#88061C2311yescharacteristic, complemented
458#88060C2311yescharacteristic
459#88060C2311yescharacteristic
460#88060C2311yescharacteristic, complemented
461#88060C2311yescharacteristic, complemented
462#88058C2311yescharacteristic, complemented
463#88058C2311yescharacteristic, complemented
464#88058C2311yescharacteristic, complemented
465#88055C2311yescharacteristic, complemented
466#88054C2311yescharacteristic, complemented
467#88054C2311yescharacteristic, complemented
468C8×Dic13C2311yescharacteristic, complemented
469#88049C2311yescharacteristic
470#88049C2311yescharacteristic
471#88049C2311yescharacteristic
472#88049C2311yescharacteristic
473#88049C2311yescharacteristic
474#88049C2311yescharacteristic
475#88049C2311yescharacteristic, complemented
476#88049C2311yescharacteristic, complemented
477#88049C2311yescharacteristic, complemented
478#88049C2311yescharacteristic, complemented
479#88048C2311yescharacteristic, complemented
480#88048C2311yescharacteristic, complemented
481#88048C2311yescharacteristic, complemented
482#88048C2311yescharacteristic, complemented
483#88048C2311yescharacteristic, complemented
484#88047C2311yescharacteristic, complemented
485C4⋊#1055C2311yescharacteristic, complemented
486#88043C2311yescharacteristic, complemented
487#61183—131nomaximal, Sylow
488C24×C13—21no—
489C23×D13—21no—
490C23×D13—21no—
491C23×D13—21no—
492C23×D13—21no—
493C23×D13—21no—
494C23×D13—21no—
495C23×D13—21no—
496C23×D13—21no—
497C23×D13—44no—
498C23×D13—82no—
499C23×D13—82no—
500C23×D13C2×D411yescharacteristic
501C13×#41—22no—
502C13×#41—41no—
503C2×Q8×C13C2411yescharacteristic
504C2×D4×C13—22no—
505C2×D4×C13—21no—
506C2×D4×C13—21no—
507C2×D4×C13—21no—
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13—41no—
511C2×D4×C13C2×D411yescharacteristic
512C2×D4×C13C2411yescharacteristic
513C2×D4×C13C2411yescharacteristic
514C2×D4×C13C2411yescharacteristic
515C22×C4×C13—21no—
516C22×C4×C13—21no—
517C22×C4×C13—21no—
518C22×C4×C13—21no—
519C22×C4×C13C2411yescharacteristic
520C22×C4×C13C2411yescharacteristic
521C2×C22⋊D13—21no—
522C2×C22⋊D13—21no—
523C2×C22⋊D13—21no—
524C2×C22⋊D13—21no—
525C2×C22⋊D13—21no—
526C2×C22⋊D13—21no—
527C2×C22⋊D13—21no—
528C2×C22⋊D13—21no—
529C2×C22⋊D13—21no—
530C2×C22⋊D13—21no—
531C2×C22⋊D13—21no—
532C2×C22⋊D13—21no—
533C2×C22⋊D13—21no—
534C2×C22⋊D13—21no—
535C2×C22⋊D13—21no—
536C2×C22⋊D13—44no—
537C2×C22⋊D13—82no—
538C2×C22⋊D13C2×D411yescharacteristic
539C2×C22⋊D13C2×D411yescharacteristic
540C2×C22⋊D13C2×D411yescharacteristic
541C2×C22⋊D13C2×D411yescharacteristic
542C22×Dic13—21no—
543C22×Dic13—21no—
544C22×Dic13—21no—
545C22×Dic13—21no—
546C22×Dic13C2×D411yescharacteristic
547#6131—22no—
548#6131—22no—
549#6131—22no—
550#6131—41no—
551#6129—82no—
552#6129—82no—
553D4×D13—22no—
554D4×D13—22no—
555D4×D13—22no—
556D4×D13—22no—
557D4×D13—22no—
558D4×D13—22no—
559D4×D13—22no—
560D4×D13—22no—
561D4×D13—41no—
562D4×D13—41no—
563D4×D13—41no—
564D4×D13—44no—
565D4×D13—44no—
566D4×D13—44no—
567D4×D13—44no—
568D4×D13—82no—
569D4×D13—82no—
570D4×D13—82no—
571D4×D13#4114yescomplemented
572#6127—22no—
573#6127—22no—
574#6127—44no—
575C2×D52—22no—
576C2×D52—22no—
577C2×D52—21no—
578C2×D52—21no—
579C2×D52—21no—
580C2×D52—21no—
581C2×D52—21no—
582C2×D52—21no—
583C2×D52—21no—
584C2×D52—21no—
585C2×D52—21no—
586C2×D52—21no—
587C2×D52—41no—
588C2×D52—41no—
589C2×D52—44no—
590C2×D52—82no—
591C2×D52C2×D411yescharacteristic
592C2×D52C2×D411yescharacteristic
593C2×D52C2411yescharacteristic
594C2×D52C2411yescharacteristic
595C2×D52C2411yescharacteristic
596C2×D52C2411yescharacteristic
597C2×C4×D13—22no—
598C2×C4×D13—22no—
599C2×C4×D13—21no—
600C2×C4×D13—21no—
601C2×C4×D13—21no—
602C2×C4×D13—21no—
603C2×C4×D13—21no—
604C2×C4×D13—21no—
605C2×C4×D13—21no—
606C2×C4×D13—21no—
607C2×C4×D13C2×D411yescharacteristic
608C2×C4×D13C2×D411yescharacteristic
609C2×C4×D13C2411yescharacteristic
610C2×C4×D13C2411yescharacteristic
611C2×C4×D13C2411yescharacteristic
612C2×Dic26—21no—
613C2×Dic26—21no—
614C2×Dic26C2×D411yescharacteristic
615C13×SD16—41no—
616C13×D8—22no—
617C13×D8—41no—
618C2×C8×C13—41no—
619C2×C8×C13—41no—
620C2×C8×C13C2411yescharacteristic
621C2×C8×C13C2411yescharacteristic
622C2×C8×C13C2411yescharacteristic
623C2×C8×C13C2411yescharacteristic
624C13×C4⋊C4—21no—
625C13×C4⋊C4—21no—
626C13×C4⋊C4—21no—
627C13×C4⋊C4—21no—
628C13×C4⋊C4C2×D411yescharacteristic
629C13×C4⋊C4C2411yescharacteristic
630C13×C4⋊C4C2411yescharacteristic
631C13×C4⋊C4C2411yescharacteristic
632C13×C4⋊C4C2411yescharacteristic
633C13×C22⋊C4—21no—
634C13×C22⋊C4—21no—
635C13×C22⋊C4—21no—
636C13×C22⋊C4—21no—
637C13×C22⋊C4—21no—
638C13×C22⋊C4—21no—
639C13×C22⋊C4—21no—
640C13×C22⋊C4—21no—
641C13×C22⋊C4—21no—
642C13×C22⋊C4C2×D411yescharacteristic
643C13×C22⋊C4C2×D411yescharacteristic
644C42×C13—21no—
645C42×C13C2411yescharacteristic
646C22⋊Dic13—21no—
647C22⋊Dic13—21no—
648C22⋊Dic13—21no—
649C22⋊Dic13—21no—
650C22⋊Dic13—21no—
651C22⋊Dic13C2×D411yescharacteristic
652C22⋊Dic13C2×D411yescharacteristic
653#6106—41no—
654#6104—22no—
655#6104—22no—
656#6104—41no—
657#6104—41no—
658#6104—41no—
659#6103—21no—
660#6103—21no—
661#6103—21no—
662#6103—21no—
663#6103—21no—
664#6103—21no—
665#6103—21no—
666#6103—21no—
667#6103—21no—
668#6103—21no—
669#6103—21no—
670#6103—21no—
671#6103—21no—
672#6103—21no—
673#6103—21no—
674#6103—21no—
675#6103—21no—
676#6103—21no—
677#6103—21no—
678#6103—21no—
679#6103—21no—
680#6103C2×D411yescharacteristic
681#6103C2×D411yescharacteristic
682#6103C2×D411yescharacteristic
683#6103C2×D411yescharacteristic
684#6103C2×D411yescharacteristic
685#6103C2×D411yescharacteristic
686C4⋊Dic13—21no—
687C4⋊Dic13—21no—
688C4⋊Dic13—21no—
689C4⋊Dic13—21no—
690C4⋊Dic13C2×D411yescharacteristic
691C4⋊Dic13C2411yescharacteristic
692C4⋊Dic13C2411yescharacteristic
693C4⋊Dic13C2411yescharacteristic
694C4⋊Dic13C2411yescharacteristic
695#6101—21no—
696#6101—21no—
697#6101—21no—
698#6101—21no—
699#6101—21no—
700#6101C2×D411yescharacteristic
701#6101C2×D411yescharacteristic
702#6101C2×D411yescharacteristic
703#6101C2×D411yescharacteristic
704C4×Dic13—21no—
705C4×Dic13—21no—
706C4×Dic13—21no—
707C4×Dic13—21no—
708C4×Dic13—21no—
709C4×Dic13—21no—
710C4×Dic13C2411yescharacteristic
711#6099—41no—
712C2×#1055—41no—
713C2×#1055C2411yescharacteristic
714C2×#1055C2411yescharacteristic
715C2×#1055C2411yescharacteristic
716C2×#1055C2411yescharacteristic
717D104—22no—
718D104—41no—
719D104—41no—
720#6094—22no—
721#6094—22no—
722#6094—41no—
723#6094—41no—
724#6094—41no—
725C8×D13—22no—
726C8×D13—22no—
727C8×D13—41no—
728#3494—131no—
729#3484—131no—
730#3325—131no—
731#3325—131no—
732#3322—131no—
733#3322—131no—
734#3319—131no—
735#3319—131no—
736#3318—131no—
737#3318—131no—
738#3318—131no—
739#3318—131no—
740#3306—131no—
741#3306—131no—
742#3297—131no—
743#3297D1311yescharacteristic, complemented
744#3294—131no—
745#3294—131no—
746#3136—131no—
747#3096—131no—
748#3091—131no—
749#3081—131no—
750#3058—131no—
751#3055—131no—
752#3041—131no—
753#3008—131no—
754C2×#447—131no—
755#2948—131no—
756#2933—131no—
757#2897—131no—
758C2×#418—131no—
759C23×C13—21no—
760C23×C13—21no—
761C23×C13—21no—
762C23×C13—42no—
763C23×C13—42no—
764C23×C13—81no—
765C23×C13C22×D411yescharacteristic
766C23×C13C22×D411yescharacteristic
767C22×D13—22no—
768C22×D13—21no—
769C22×D13—22no—
770C22×D13—24no—
771C22×D13—21no—
772C22×D13—21no—
773C22×D13—21no—
774C22×D13—41no—
775C22×D13—42no—
776C22×D13—42no—
777C22×D13—42no—
778C22×D13—42no—
779C22×D13—42no—
780C22×D13—42no—
781C22×D13—42no—
782C22×D13—42no—
783C22×D13—42no—
784C22×D13—42no—
785C22×D13—81no—
786C22×D13—81no—
787C22×D13—81no—
788C22×D13—81no—
789C22×D13—81no—
790C22×D13—81no—
791C22×D13—81no—
792C22×D13—81no—
793C22×D13—81no—
794C22×D13—81no—
795C22×D13—81no—
796C22×D13—81no—
797C22×D13—81no—
798C22×D13—816no—
799C22×D13C22×D411yescharacteristic
800C22×D13C22×D411yescharacteristic
801C22×D13C22×D411yescharacteristic
802Q8×C13—21no—
803Q8×C13—21no—
804D4×C13—22no—
805D4×C13—21no—
806D4×C13—21no—
807D4×C13—21no—
808D4×C13—21no—
809D4×C13—21no—
810D4×C13—42no—
811D4×C13—42no—
812D4×C13—42no—
813D4×C13—81no—
814D4×C13—81no—
815D4×C13C2×#4112yes—
816C2×C4×C13—21no—
817C2×C4×C13—21no—
818C2×C4×C13—21no—
819C2×C4×C13—21no—
820C2×C4×C13—21no—
821C2×C4×C13—21no—
822C2×C4×C13—21no—
823C2×C4×C13—21no—
824C2×C4×C13—21no—
825C2×C4×C13—42no—
826C2×C4×C13—81no—
827C2×C4×C13—81no—
828C2×C4×C13—81no—
829C2×C4×C13C22×D411yescharacteristic
830C2×C4×C13C22×D411yescharacteristic
831C2×C4×C13C22×D411yescharacteristic
832C2×C4×C13C22×D411yescharacteristic
833C2×C4×C13C2511yescharacteristic
834C22⋊D13—22no—
835C22⋊D13—22no—
836C22⋊D13—22no—
837C22⋊D13—24no—
838C22⋊D13—41no—
839C22⋊D13—42no—
840C22⋊D13—42no—
841C22⋊D13—42no—
842C22⋊D13—42no—
843C22⋊D13—42no—
844C22⋊D13—42no—
845C22⋊D13—42no—
846C22⋊D13—81no—
847C22⋊D13—81no—
848C22⋊D13—81no—
849C22⋊D13—81no—
850C22⋊D13—81no—
851C22⋊D13—81no—
852C22⋊D13—81no—
853C2×Dic13—22no—
854C2×Dic13—21no—
855C2×Dic13—21no—
856C2×Dic13—21no—
857C2×Dic13—21no—
858C2×Dic13—42no—
859C2×Dic13—81no—
860C2×Dic13—81no—
861C2×Dic13—81no—
862C2×Dic13C22×D411yescharacteristic
863C2×Dic13C22×D411yescharacteristic
864C2×Dic13C22×D411yescharacteristic
865C2×Dic13C22×D411yescharacteristic
866C2×Dic13C22×D411yescharacteristic
867D52—22no—
868D52—21no—
869D52—21no—
870D52—21no—
871D52—21no—
872D52—21no—
873D52—21no—
874D52—21no—
875D52—41no—
876D52—42no—
877D52—42no—
878D52—42no—
879D52—42no—
880D52—42no—
881D52—81no—
882D52—81no—
883D52—81no—
884D52—81no—
885D52—81no—
886D52C2×#4112yes—
887C4×D13—22no—
888C4×D13—21no—
889C4×D13—21no—
890C4×D13—21no—
891C4×D13—21no—
892C4×D13—22no—
893C4×D13—42no—
894C4×D13—42no—
895C4×D13—81no—
896C4×D13—81no—
897C4×D13—81no—
898C4×D13—81no—
899C4×D13—81no—
900C4×D13—81no—
901C4×D13C2×#4112yes—
902C4×D13H(5,𝔽2)12yes—
903Dic26—22no—
904Dic26—81no—
905Dic26—81no—
906C8×C13—21no—
907C8×C13—21no—
908C8×C13—21no—
909C8×C13—21no—
910#1055—21no—
911#1055—21no—
912#1055—21no—
913#1055—21no—
914C2×H(5,𝔽2)—131no—
915C23×D4—131no—
916C2×AGL(1,ℤ/8)—131no—
917C22×D8—131no—
918C22×D8—131no—
919C2×#131—131no—
920C22×M16—131no—
921#555—131no—
922#555—131no—
923#553—131no—
924#553—131no—
925#553—131no—
926#553C2×D1311yescharacteristic, complemented
927#551—261no—
928#551—261no—
929#547—131no—
930#547—131no—
931#546—131no—
932#546—131no—
933#546—131no—
934#546—261no—
935#546—261no—
936#546—261no—
937#546—261no—
938#546C2×D1311yescharacteristic, complemented
939D42—131no—
940D42—131no—
941D42—131no—
942D42—131no—
943D42—261no—
944D42—261no—
945#544—131no—
946#542—261no—
947#540—261no—
948#535—131no—
949#535—131no—
950#535—131no—
951#534—261no—
952#534—261no—
953#532—261no—
954#529—261no—
955#525—131no—
956#525—131no—
957C2×#121—131no—
958C2×#120—261no—
959C2×#120—261no—
960#520—131no—
961#518—131no—
962#518—131no—
963C2×#117—131no—
964#490—131no—
965#490—131no—
966#489—131no—
967#489—131no—
968#488—131no—
969#488C2×D1311yescharacteristic, complemented
970#486—131no—
971#486—131no—
972#485—131no—
973#485—131no—
974#484C2×D1311yescharacteristic, complemented
975#483—131no—
976#482—131no—
977#482—131no—
978#482—131no—
979#482—131no—
980#482—131no—
981#482C2×D1311yescharacteristic, complemented
982#481—131no—
983#481—131no—
984#481—131no—
985#480—131no—
986#480—131no—
987#480—131no—
988#478—131no—
989#478—131no—
990#478—131no—
991#478C2×D1311yescharacteristic, complemented
992#476—131no—
993#476—131no—
994#474—131no—
995#474—131no—
996#469—131no—
997#469—131no—
998#469—131no—
999#469—131no—
1000#469—131no—
1001#469—131no—
1002#468—131no—
1003#468—131no—
1004#466—131no—
1005#466—131no—
1006#466—131no—
1007#466—131no—
1008#466—131no—
1009#466C2×D1311yescharacteristic, complemented
1010#465—131no—
1011#465C2×D1311yescharacteristic, complemented
1012#463—131no—
1013#463—131no—
1014#463—131no—
1015#463C2×D1311yescharacteristic, complemented
1016#459—131no—
1017#459—131no—
1018#459—131no—
1019#459—131no—
1020#449—131no—
1021#449—131no—
1022#449—131no—
1023#449C2×D1311yescharacteristic, complemented
1024#447—131no—
1025#447—131no—
1026#447—131no—
1027#447—131no—
1028#447—131no—
1029#447—131no—
1030#447—131no—
1031#447—131no—
1032#447—131no—
1033#447—131no—
1034#447—131no—
1035#447C2×D1311yescharacteristic, complemented
1036#442—131no—
1037#442—131no—
1038#442—131no—
1039#442—131no—
1040C4×D8—131no—
1041C4×D8—131no—
1042C4×D8—131no—
1043C4×D8C2×D1311yescharacteristic, complemented
1044#436—131no—
1045#436—131no—
1046#435—131no—
1047#435—131no—
1048#435—131no—
1049#435—131no—
1050C8×D4—131no—
1051C8×D4C2×D1311yescharacteristic, complemented
1052#428—131no—
1053#427—131no—
1054#427—131no—
1055#424—131no—
1056#418—131no—
1057#418—131no—
1058#418—131no—
1059#418—131no—
1060#418—131no—
1061#418—131no—
1062#418—131no—
1063#418—131no—
1064#418—131no—
1065#418—131no—
1066#418—131no—
1067#417—131no—
1068#417—131no—
1069#417—131no—
1070#416—131no—
1071#416—131no—
1072#416—131no—
1073#416C2×D1311yescharacteristic, complemented
1074C2×#102—131no—
1075C2×#102—131no—
1076C2×#102—131no—
1077C2×#102—131no—
1078C2×#102—131no—
1079C2×#102—131no—
1080C2×#102—131no—
1081C2×#102C2×D1311yescharacteristic, complemented
1082#408—131no—
1083C2×C22⋊C8—131no—
1084#405—131no—
1085C22×C13—21no—
1086C22×C13—21no—
1087C22×C13—21no—
1088C22×C13—21no—
1089C22×C13—22no—
1090C22×C13—21no—
1091C22×C13—41no—
1092C22×C13—41no—
1093C22×C13—41no—
1094C22×C13—41no—
1095C22×C13—41no—
1096C22×C13—41no—
1097C22×C13—41no—
1098C22×C13—41no—
1099C22×C13—84no—
1100C22×C13#57612yes—
1101C22×C13C23×D411yescharacteristic
1102C2×D13—21no—
1103C2×D13—21no—
1104C2×D13—21no—
1105C2×D13—21no—
1106C2×D13—21no—
1107C2×D13—21no—
1108C2×D13—22no—
1109C2×D13—21no—
1110C2×D13—21no—
1111C2×D13—44no—
1112C2×D13—41no—
1113C2×D13—41no—
1114C2×D13—41no—
1115C2×D13—41no—
1116C2×D13—41no—
1117C2×D13—41no—
1118C2×D13—41no—
1119C2×D13—41no—
1120C2×D13—41no—
1121C2×D13—41no—
1122C2×D13—41no—
1123C2×D13—84no—
1124C2×D13—84no—
1125C2×D13—84no—
1126C2×D13—84no—
1127C2×D13—84no—
1128C2×D13—162no—
1129C2×D13—162no—
1130C2×D13—162no—
1131C2×D13#54612yes—
1132C4×C13—21no—
1133C4×C13—21no—
1134C4×C13—21no—
1135C4×C13—21no—
1136C4×C13—41no—
1137C4×C13—41no—
1138C4×C13—41no—
1139C4×C13—41no—
1140C4×C13—41no—
1141C4×C13C22×#4111yescharacteristic
1142C4×C13C2×H(5,𝔽2)11yescharacteristic
1143Dic13—21no—
1144Dic13—21no—
1145Dic13—21no—
1146Dic13—21no—
1147Dic13—41no—
1148Dic13—41no—
1149Dic13—41no—
1150Dic13—41no—
1151Dic13#54612yes—
1152C25—261no—
1153H(5,𝔽2)—264no—
1154H(5,𝔽2)—522no—
1155C2×#41—131no—
1156C2×#41—131no—
1157C2×#41—131no—
1158C2×#41—261no—
1159C2×#41—261no—
1160C2×#41—261no—
1161C2×#41C22×D1311yescharacteristic
1162C22×D4—131no—
1163C22×D4—131no—
1164C22×D4—131no—
1165C22×D4—131no—
1166C22×D4—131no—
1167C22×D4—131no—
1168C22×D4—131no—
1169C22×D4—131no—
1170C22×D4—261no—
1171C22×D4—261no—
1172C22×D4—261no—
1173C22×D4—261no—
1174C22×D4—261no—
1175C22×D4—264no—
1176C22×D4—261no—
1177C22×D4—261no—
1178C22×D4—261no—
1179C22×D4—261no—
1180C22×D4—261no—
1181C22×D4—261no—
1182C22×D4—522no—
1183C22×D4C22×D1311yescharacteristic
1184C23×C4—131no—
1185AGL(1,ℤ/8)—522no—
1186C2×SD16—131no—
1187C2×SD16C22×D1311yescharacteristic, complemented
1188C2×D8—131no—
1189C2×D8—131no—
1190C2×D8—131no—
1191C2×D8—131no—
1192C2×D8—131no—
1193C2×D8—131no—
1194C2×D8—131no—
1195C2×D8—131no—
1196C2×D8—264no—
1197C2×D8—522no—
1198C2×D8C22×D1311yescharacteristic
1199C2×D8C22×D1311yescharacteristic
1200#131—522no—
1201C2×M16—131no—
1202C2×M16—131no—
1203C2×M16—131no—
1204C2×M16—131no—
1205C2×M16—131no—
1206C2×M16—131no—
1207C2×M16—522no—
1208C22×C8—131no—
1209C22×C8—131no—
1210C22×C8—131no—
1211C22×C8—131no—
1212C22×C8C22×D1311yescharacteristic
1213C22×C8C22×D1311yescharacteristic, complemented
1214C4⋊Q8—131no—
1215C4⋊Q8—131no—
1216C4⋊Q8—261no—
1217#127—131no—
1218#127—131no—
1219#127—261no—
1220#127—261no—
1221#126—21no—
1222#126—261no—
1223#126—261no—
1224#126—261no—
1225#125—131no—
1226#125—261no—
1227#125C22×D1311yescharacteristic, complemented
1228#124—131no—
1229#124—261no—
1230#124—261no—
1231#124—261no—
1232#124—261no—
1233#124—261no—
1234#124—261no—
1235#124C22×D1311yescharacteristic
1236#123—21no—
1237#123—21no—
1238#123—131no—
1239#123—131no—
1240#123—261no—
1241#123—261no—
1242#123—261no—
1243#123—261no—
1244#123—261no—
1245#123—261no—
1246#123—261no—
1247#123—261no—
1248#123—261no—
1249#123—261no—
1250#123—261no—
1251C22⋊Q8—131no—
1252C22⋊Q8—131no—
1253C22⋊Q8—131no—
1254C22⋊Q8—261no—
1255C22⋊Q8—261no—
1256C22⋊Q8—261no—
1257C22⋊Q8—261no—
1258C22⋊Q8C22×D1311yescharacteristic
1259#121—21no—
1260#121—21no—
1261#121—131no—
1262#121—131no—
1263#121—131no—
1264#121—131no—
1265#121—131no—
1266#121—131no—
1267#121—131no—
1268#121—131no—
1269#121—131no—
1270#121—131no—
1271#121—131no—
1272#121—131no—
1273#121—131no—
1274#121—261no—
1275#121—261no—
1276#121—261no—
1277#121—261no—
1278#121—261no—
1279#121—261no—
1280#121—261no—
1281#121—261no—
1282#121—261no—
1283#121—261no—
1284#121—261no—
1285#121—261no—
1286#121—261no—
1287#121—261no—
1288#121—261no—
1289#121—261no—
1290#121C22×D1311yescharacteristic
1291#121C22×D1311yescharacteristic
1292#121C22×D1311yescharacteristic, complemented
1293#120—21no—
1294#120—131no—
1295#120—131no—
1296#120—261no—
1297#120—261no—
1298#120—261no—
1299#120—261no—
1300#120—261no—
1301#120—261no—
1302#120—261no—
1303#120—261no—
1304#120—261no—
1305#120—261no—
1306#120—261no—
1307#120—261no—
1308#120—261no—
1309#120—261no—
1310#120—261no—
1311#120—261no—
1312#120—261no—
1313#120—261no—
1314C4×Q8—261no—
1315C4×D4—21no—
1316C4×D4—131no—
1317C4×D4—131no—
1318C4×D4—131no—
1319C4×D4—131no—
1320C4×D4—131no—
1321C4×D4—131no—
1322C4×D4—131no—
1323C4×D4—131no—
1324C4×D4—131no—
1325C4×D4—261no—
1326C4×D4—261no—
1327C4×D4—261no—
1328C4×D4—261no—
1329C4×D4—261no—
1330C4×D4—261no—
1331C4×D4—261no—
1332C4×D4—261no—
1333C4×D4—261no—
1334C4×D4—261no—
1335C4×D4—261no—
1336C4×D4—261no—
1337C4×D4C22×D1311yescharacteristic
1338C4×D4C22×D1311yescharacteristic
1339C4×D4C22×D1311yescharacteristic, complemented
1340#117—131no—
1341#117—131no—
1342#117—131no—
1343#117—131no—
1344#117—131no—
1345#117—131no—
1346#117—131no—
1347#117—261no—
1348#117—261no—
1349#117—261no—
1350#117—261no—
1351#117C22×D1311yescharacteristic, complemented
1352C2×C4⋊C4—131no—
1353C2×C4⋊C4—131no—
1354C2×C4⋊C4—131no—
1355C2×C4⋊C4—131no—
1356C2×C4⋊C4C22×D1311yescharacteristic
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—261no—
1359C2×C22⋊C4—261no—
1360C2×C22⋊C4—261no—
1361C2×C22⋊C4—261no—
1362C2×C22⋊C4—261no—
1363C2×C22⋊C4—261no—
1364C2×C22⋊C4—261no—
1365C2×C22⋊C4—261no—
1366C2×C22⋊C4—261no—
1367C2×C42—261no—
1368#107—131no—
1369#107—131no—
1370#107—131no—
1371#107—131no—
1372#107C22×D1311yescharacteristic, complemented
1373#107C22×D1311yescharacteristic, complemented
1374#106—131no—
1375#106—131no—
1376#106—131no—
1377#106—131no—
1378#106—131no—
1379#106C22×D1311yescharacteristic, complemented
1380C4⋊C8—131no—
1381C4⋊C8—131no—
1382C4⋊C8—131no—
1383C4⋊C8C22×D1311yescharacteristic, complemented
1384#103—131no—
1385#103—131no—
1386#103—131no—
1387#103C22×D1311yescharacteristic, complemented
1388#103C22×D1311yescharacteristic, complemented
1389#103C22×D1311yescharacteristic, complemented
1390#102—131no—
1391#102—131no—
1392#102—131no—
1393#102—131no—
1394#102—131no—
1395#102—131no—
1396#102—131no—
1397#102—131no—
1398#102—131no—
1399#102—131no—
1400#102—131no—
1401#102—131no—
1402#102—131no—
1403#102—131no—
1404#102—131no—
1405#102—131no—
1406#102—131no—
1407#102—131no—
1408#102—131no—
1409#102—131no—
1410#102—131no—
1411#102—131no—
1412#102—131no—
1413#102—131no—
1414#102—131no—
1415#102—131no—
1416#102—131no—
1417#102C22×D1311yescharacteristic
1418#102C22×D1311yescharacteristic
1419#102C22×D1311yescharacteristic
1420#102C22×D1311yescharacteristic
1421#102C22×D1311yescharacteristic
1422#102C22×D1311yescharacteristic
1423#102C22×D1311yescharacteristic, complemented
1424C22⋊C8—131no—
1425C22⋊C8—131no—
1426C22⋊C8—131no—
1427C22⋊C8—131no—
1428C22⋊C8—131no—
1429C22⋊C8—131no—
1430C22⋊C8C22×D1311yescharacteristic
1431C22⋊C8C22×D1311yescharacteristic, complemented
1432#97—131no—
1433#97—131no—
1434C4×C8—131no—
1435C4×C8C22×D1311yescharacteristic, complemented
1436C2×C13—22no—
1437C2×C13—42no—
1438C2×C13—41no—
1439C2×C13—81no—
1440C2×C13—81no—
1441C2×C13C2×#54611yescharacteristic
1442C2×C13C2×#57611yescharacteristic
1443C2×C13#358511yescharacteristic
1444D13—22no—
1445D13—41no—
1446D13—41no—
1447D13—42no—
1448D13—81no—
1449D13—81no—
1450D13—81no—
1451C24—21no—
1452C24—131no—
1453C24—261no—
1454C24—261no—
1455C24—261no—
1456C24—261no—
1457C24—261no—
1458C24—261no—
1459C24—261no—
1460C24—261no—
1461C24—524no—
1462C24—1042no—
1463C24—1042no—
1464#41—22no—
1465#41—41no—
1466#41—262no—
1467#41—262no—
1468#41—262no—
1469#41—262no—
1470#41—262no—
1471#41—524no—
1472#41—521no—
1473#41—1042no—
1474#41—1042no—
1475C2×Q8—131no—
1476C2×Q8—261no—
1477C2×Q8—261no—
1478C2×Q8C23×D1311yescharacteristic
1479C2×D4—22no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—41no—
1486C2×D4—134no—
1487C2×D4—131no—
1488C2×D4—131no—
1489C2×D4—131no—
1490C2×D4—131no—
1491C2×D4—131no—
1492C2×D4—131no—
1493C2×D4—131no—
1494C2×D4—131no—
1495C2×D4—131no—
1496C2×D4—131no—
1497C2×D4—262no—
1498C2×D4—262no—
1499C2×D4—261no—
1500C2×D4—261no—
1501C2×D4—261no—
1502C2×D4—261no—
1503C2×D4—261no—
1504C2×D4—261no—
1505C2×D4—262no—
1506C2×D4—262no—
1507C2×D4—262no—
1508C2×D4—262no—
1509C2×D4—262no—
1510C2×D4—261no—
1511C2×D4—261no—
1512C2×D4—261no—
1513C2×D4—261no—
1514C2×D4—261no—
1515C2×D4—261no—
1516C2×D4—261no—
1517C2×D4—261no—
1518C2×D4—262no—
1519C2×D4—262no—
1520C2×D4—262no—
1521C2×D4—261no—
1522C2×D4—261no—
1523C2×D4—261no—
1524C2×D4—261no—
1525C2×D4—261no—
1526C2×D4—261no—
1527C2×D4—261no—
1528C2×D4—261no—
1529C2×D4—261no—
1530C2×D4—261no—
1531C2×D4—261no—
1532C2×D4—521no—
1533C2×D4—521no—
1534C2×D4—524no—
1535C2×D4—521no—
1536C2×D4—521no—
1537C2×D4—521no—
1538C2×D4—524no—
1539C2×D4—524no—
1540C2×D4—524no—
1541C2×D4—524no—
1542C2×D4—524no—
1543C2×D4—1042no—
1544C2×D4—1042no—
1545C2×D4—1042no—
1546C2×D4—1042no—
1547C2×D4—1042no—
1548C2×D4D4×D1311yescharacteristic
1549C2×D4C23×D1311yescharacteristic
1550C2×D4C23×D1311yescharacteristic
1551C2×D4C23×D1311yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—131no—
1557C22×C4—131no—
1558C22×C4—131no—
1559C22×C4—131no—
1560C22×C4—131no—
1561C22×C4—131no—
1562C22×C4—262no—
1563C22×C4—262no—
1564C22×C4—261no—
1565C22×C4—261no—
1566C22×C4—261no—
1567C22×C4—261no—
1568C22×C4—261no—
1569C22×C4—261no—
1570C22×C4—261no—
1571C22×C4—261no—
1572C22×C4—261no—
1573C22×C4—261no—
1574C22×C4—261no—
1575C22×C4—261no—
1576C22×C4C23×D1311yescharacteristic
1577C22×C4C23×D1311yescharacteristic
1578SD16—41no—
1579SD16—521no—
1580D8—22no—
1581D8—41no—
1582D8—262no—
1583D8—262no—
1584D8—262no—
1585D8—521no—
1586D8—521no—
1587D8—521no—
1588D8—521no—
1589D8—521no—
1590M16—262no—
1591M16—262no—
1592M16—521no—
1593M16—521no—
1594M16—521no—
1595M16—521no—
1596C2×C8—41no—
1597C2×C8—41no—
1598C2×C8—131no—
1599C2×C8—131no—
1600C2×C8—131no—
1601C2×C8—131no—
1602C2×C8—262no—
1603C2×C8—262no—
1604C2×C8—521no—
1605C2×C8—521no—
1606C2×C8C23×D1311yescharacteristic
1607C2×C8C23×D1311yescharacteristic
1608C2×C8C23×D1311yescharacteristic
1609C2×C8C23×D1311yescharacteristic
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—131no—
1615C4⋊C4—131no—
1616C4⋊C4—131no—
1617C4⋊C4—131no—
1618C4⋊C4—131no—
1619C4⋊C4—131no—
1620C4⋊C4—131no—
1621C4⋊C4—131no—
1622C4⋊C4—131no—
1623C4⋊C4—261no—
1624C4⋊C4—261no—
1625C4⋊C4—261no—
1626C4⋊C4—261no—
1627C4⋊C4—261no—
1628C4⋊C4—261no—
1629C4⋊C4—261no—
1630C4⋊C4—261no—
1631C4⋊C4—261no—
1632C4⋊C4D4×D1311yescharacteristic
1633C4⋊C4C23×D1311yescharacteristic
1634C4⋊C4C23×D1311yescharacteristic
1635C4⋊C4C23×D1311yescharacteristic
1636C4⋊C4C23×D1311yescharacteristic
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—131no—
1647C22⋊C4—131no—
1648C22⋊C4—131no—
1649C22⋊C4—131no—
1650C22⋊C4—131no—
1651C22⋊C4—131no—
1652C22⋊C4—131no—
1653C22⋊C4—131no—
1654C22⋊C4—261no—
1655C22⋊C4—261no—
1656C22⋊C4—261no—
1657C22⋊C4—261no—
1658C22⋊C4—261no—
1659C22⋊C4—261no—
1660C22⋊C4—261no—
1661C22⋊C4—261no—
1662C22⋊C4—261no—
1663C22⋊C4—261no—
1664C22⋊C4—261no—
1665C22⋊C4—261no—
1666C22⋊C4—261no—
1667C22⋊C4—261no—
1668C22⋊C4—261no—
1669C22⋊C4—261no—
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—261no—
1680C22⋊C4D4×D1311yescharacteristic
1681C22⋊C4D4×D1311yescharacteristic
1682C42—21no—
1683C42—131no—
1684C42—261no—
1685C42—261no—
1686C42—261no—
1687C42—261no—
1688C42—261no—
1689C42—261no—
1690C42C23×D1311yescharacteristic
1691C13#6118311yescharacteristic, complemented, Sylow
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—42no—
1696C23—42no—
1697C23—81no—
1698C23—131no—
1699C23—131no—
1700C23—131no—
1701C23—262no—
1702C23—264no—
1703C23—262no—
1704C23—261no—
1705C23—261no—
1706C23—261no—
1707C23—261no—
1708C23—521no—
1709C23—522no—
1710C23—522no—
1711C23—522no—
1712C23—522no—
1713C23—522no—
1714C23—522no—
1715C23—522no—
1716C23—522no—
1717C23—522no—
1718C23—522no—
1719C23—1041no—
1720C23—1041no—
1721C23—1041no—
1722C23—1041no—
1723C23—1041no—
1724C23—1041no—
1725C23—1041no—
1726C23—1041no—
1727C23—1041no—
1728C23—1041no—
1729C23—1041no—
1730C23—1041no—
1731C23—1041no—
1732C23—10416no—
1733C23C2×D4×D1311yescharacteristic
1734C23C2×D4×D1311yescharacteristic
1735Q8—21no—
1736Q8—21no—
1737Q8—262no—
1738Q8—1041no—
1739Q8—1041no—
1740D4—22no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—81no—
1750D4—81no—
1751D4—132no—
1752D4—262no—
1753D4—264no—
1754D4—262no—
1755D4—262no—
1756D4—262no—
1757D4—261no—
1758D4—261no—
1759D4—261no—
1760D4—261no—
1761D4—261no—
1762D4—261no—
1763D4—261no—
1764D4—521no—
1765D4—522no—
1766D4—522no—
1767D4—522no—
1768D4—522no—
1769D4—522no—
1770D4—522no—
1771D4—522no—
1772D4—521no—
1773D4—522no—
1774D4—522no—
1775D4—522no—
1776D4—522no—
1777D4—522no—
1778D4—1041no—
1779D4—1041no—
1780D4—1041no—
1781D4—1041no—
1782D4—1041no—
1783D4—1041no—
1784D4—1041no—
1785D4—1041no—
1786D4—1041no—
1787D4—1041no—
1788D4—1041no—
1789D4—1041no—
1790D4#41×D1312yes—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—42no—
1801C2×C4—81no—
1802C2×C4—81no—
1803C2×C4—81no—
1804C2×C4—131no—
1805C2×C4—132no—
1806C2×C4—132no—
1807C2×C4—131no—
1808C2×C4—131no—
1809C2×C4—131no—
1810C2×C4—131no—
1811C2×C4—262no—
1812C2×C4—262no—
1813C2×C4—262no—
1814C2×C4—261no—
1815C2×C4—261no—
1816C2×C4—261no—
1817C2×C4—261no—
1818C2×C4—261no—
1819C2×C4—261no—
1820C2×C4—261no—
1821C2×C4—261no—
1822C2×C4—522no—
1823C2×C4—522no—
1824C2×C4—522no—
1825C2×C4—1041no—
1826C2×C4—1041no—
1827C2×C4—1041no—
1828C2×C4—1041no—
1829C2×C4—1041no—
1830C2×C4—1041no—
1831C2×C4—1041no—
1832C2×C4—1041no—
1833C2×C4—1041no—
1834C2×C4C2×D4×D1311yescharacteristic
1835C2×C4C2×D4×D1311yescharacteristic
1836C2×C4C2×D4×D1311yescharacteristic
1837C2×C4C2×D4×D1311yescharacteristic
1838C2×C4C24×D1311yescharacteristic
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C8—261no—
1844C8—261no—
1845C8—261no—
1846C8—261no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—22no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—84no—
1862C22—132no—
1863C22—261no—
1864C22—261no—
1865C22—261no—
1866C22—261no—
1867C22—262no—
1868C22—261no—
1869C22—261no—
1870C22—261no—
1871C22—261no—
1872C22—524no—
1873C22—521no—
1874C22—521no—
1875C22—521no—
1876C22—521no—
1877C22—521no—
1878C22—521no—
1879C22—521no—
1880C22—521no—
1881C22—521no—
1882C22—521no—
1883C22—521no—
1884C22—1044no—
1885C22—1044no—
1886C22—1044no—
1887C22—1044no—
1888C22—1044no—
1889C22—2082no—
1890C22—2082no—
1891C22—2082no—
1892C22#1171947412yes—
1893C22C22×D4×D1311yescharacteristic
1894C4—21no—
1895C4—21no—
1896C4—21no—
1897C4—21no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—132no—
1904C4—261no—
1905C4—261no—
1906C4—261no—
1907C4—261no—
1908C4—521no—
1909C4—521no—
1910C4—521no—
1911C4—521no—
1912C4C2×#41×D1311yescharacteristic
1913C4D13×H(5,𝔽2)11yescharacteristic
1914C2—22no—
1915C2—41no—
1916C2—42no—
1917C2—81no—
1918C2—81no—
1919C2—262no—
1920C2—521no—
1921C2—521no—
1922C2—522no—
1923C2—1041no—
1924C2—1041no—
1925C2—1041no—
1926C2D13×#54611yescharacteristic
1927C2C2×#1171947411yescharacteristic
1928C2#1312961111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3297C2
socleC22×C13C23×D4
hypercenter#3297D13
hypocenterC13#61183
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #13128567C2semidirect
2. #13128466C2semidirect
3. #13127080C2semidirect
4. #13127076C2semidirect
5. #13127036C2semidirect
6. #13127030C2semidirect
7. #13126999C2semidirect
8. #13126988C2semidirect
9. #13126983C2semidirect
10. #13126974C2semidirect
11. #13126973C2semidirect
12. #13126971C2semidirect
13. #13126803C2semidirect
14. #13126797C2semidirect
15. #13126684C2semidirect
16. #13126650C2semidirect
17. #13126642C2semidirect
18. #13125189C2semidirect
19. #13124791C2semidirect
20. #13124752C2semidirect
21. #13124664C2semidirect
22. #13124479C2semidirect
23. #13124448C2semidirect
24. #13124337C2semidirect
25. #13124101C2semidirect
26. D13×#447C2semidirect
27. #13123683C2semidirect
28. #13123556C2semidirect
29. #13123358C2semidirect
30. C2×#11718431C2semidirect
31. C13×#3297C2semidirect
34. C13×#553C22semidirect
35. C13×#546C22semidirect
36. #11719534C22semidirect
37. D4×C22⋊D13C22semidirect
38. C2×#88168C22semidirect
40. C2×D8×D13C22semidirect
41. C2×#88155C22semidirect
42. C22×#6094C22semidirect
45. #11719400C22semidirect
46. #11719394C22semidirect
47. #11719381C22semidirect
53. #11719335C22semidirect
55. #11719323C22semidirect
56. #11719316C22semidirect
59. #11719314C22semidirect
61. #11719312C22semidirect
63. D13×#121C22semidirect
67. #11719268C22semidirect
68. #11719260C22semidirect
70. D4×D52C22semidirect
71. D4×D52C22semidirect
74. #11719250C22semidirect
76. #11719237C22semidirect
77. #11719228C22semidirect
78. #11719219C22semidirect
79. C2×#88146C22semidirect
82. C13×#488C22semidirect
83. C13×#484C22semidirect
84. C13×#482C22semidirect
85. C13×#478C22semidirect
86. C13×#466C22semidirect
87. C13×#465C22semidirect
88. C13×#463C22semidirect
89. C13×#449C22semidirect
90. C13×#447C22semidirect
91. C4×C13×D8C22semidirect
92. C8×D4×C13C22semidirect
93. C13×#416C22semidirect
94. C2×C13×#102C22semidirect
95. #11718899C22semidirect
96. #11718893C22semidirect
97. #11718878C22semidirect
98. C2×#88072C22semidirect
99. #11718835C22semidirect
100. #11718833C22semidirect
101. #11718826C22semidirect
102. #11718818C22semidirect
103. #11718817C22semidirect
104. #11718817C22semidirect
105. #11718817C22semidirect
106. #11718811C22semidirect
107. D8×Dic13C22semidirect
108. #11718776C22semidirect
109. #11718776C22semidirect
110. C2×#88061C22semidirect
111. C2×#88061C22semidirect
112. #11718772C22semidirect
113. #11718772C22semidirect
114. #11718728C22semidirect
115. #11718727C22semidirect
116. #11718718C22semidirect
117. #11718716C22semidirect
118. #11718709C22semidirect
119. #11718704C22semidirect
120. #11718700C22semidirect
121. #11718700C22semidirect
122. #11718699C22semidirect
123. #11718697C22semidirect
124. #11718697C22semidirect
125. #11718695C22semidirect
126. #11718676C22semidirect
127. #11718675C22semidirect
128. #11718675C22semidirect
129. #11718672C22semidirect
130. #11718669C22semidirect
131. #11718664C22semidirect
132. #11718662C22semidirect
133. #11718629C22semidirect
134. C2×#88049C22semidirect
135. #11718552C22semidirect
136. #11718546C22semidirect
137. #11718546C22semidirect
138. #11718546C22semidirect
139. #11718544C22semidirect
140. #11718541C22semidirect
141. #11718541C22semidirect
142. #11718533C22semidirect
143. #11718531C22semidirect
144. #11718526C22semidirect
145. #11718524C22semidirect
146. #11718522C22semidirect
147. #11718507C22semidirect
148. #11718504C22semidirect
149. #11718500C22semidirect
150. #11718497C22semidirect
151. #11718480C22semidirect
152. #11718475C22semidirect
153. #11718475C22semidirect
154. #11718473C22semidirect
155. #11718472C22semidirect
156. #11718465C22semidirect
157. #11718465C22semidirect
158. #11718465C22semidirect
159. #11718464C22semidirect
160. #11718464C22semidirect
161. #11718461C22semidirect
162. #11718456C22semidirect
163. #11718447C22semidirect
164. #11718446C22semidirect
165. #11718446C22semidirect
166. #11718445C22semidirect
167. #11718443C22semidirect
168. #11718443C22semidirect
169. #11718443C22semidirect
170. #11718435C22semidirect
171. #11718434C22semidirect
172. #11718434C22semidirect
173. #11718434C22semidirect
176. #11718431C22semidirect
177. #11718431C22semidirect
178. #11718431C22semidirect
179. #11718431C22semidirect
180. #11718431C22semidirect
181. #11718431C22semidirect
182. #11718431C22semidirect
183. #11718431C22semidirect
185. D13×#102C22semidirect
186. D13×#102C22semidirect
187. #11718427C22semidirect
188. #11718425C22semidirect
189. #11718421C22semidirect
190. #11718420C22semidirect
191. #11718397C22semidirect
192. #11718397C22semidirect
193. #11718393C22semidirect
194. #11718393C22semidirect
195. #11718390C22semidirect
196. #11718388C22semidirect
197. #11718386C22semidirect
198. D13×C22⋊C8C22semidirect
199. #11718355C22semidirect
200. C4×D104C22semidirect
201. #11718350C22semidirect
202. #11718349C22semidirect
236. C2×C13×SD16C23semidirect
240. C22×C8×C13C23semidirect
242. C13×#125C23semidirect
251. C13×#121C23semidirect
256. C4×D4×C13C23semidirect
257. C13×#117C23semidirect
263. C2×#6106C23semidirect
274. #88192C23semidirect
284. D4×Dic13C23semidirect
289. C2×#6104C23semidirect
296. #88184C23semidirect
309. C2×C4⋊Dic13C23semidirect
311. C2×#6099C23semidirect
318. C2×D104C23semidirect
325. C2×#6094C23semidirect
328. C2×C8×D13C23semidirect
341. #88149C23semidirect
350. #88147C23semidirect
358. #88146C23semidirect
360. C4⋊C4×D13C23semidirect
361. #88144C23semidirect
364. #88142C23semidirect
414. C4×D52C23semidirect
417. #88123C23semidirect
419. C13×#107C23semidirect
420. C13×#107C23semidirect
421. C13×#106C23semidirect
422. C13×C4⋊C8C23semidirect
423. C13×#103C23semidirect
424. C13×#103C23semidirect
425. C13×#103C23semidirect
432. C13×#102C23semidirect
434. C13×C22⋊C8C23semidirect
435. C4×C8×C13C23semidirect
436. #88075C23semidirect
437. #88075C23semidirect
438. #88075C23semidirect
445. #88072C23semidirect
447. C22⋊#1055C23semidirect
454. #88061C23semidirect
455. #88061C23semidirect
456. #88061C23semidirect
457. #88061C23semidirect
460. #88060C23semidirect
461. #88060C23semidirect
462. #88058C23semidirect
463. #88058C23semidirect
464. #88058C23semidirect
465. #88055C23semidirect
466. #88054C23semidirect
467. #88054C23semidirect
468. C8×Dic13C23semidirect
475. #88049C23semidirect
476. #88049C23semidirect
477. #88049C23semidirect
478. #88049C23semidirect
479. #88048C23semidirect
480. #88048C23semidirect
481. #88048C23semidirect
482. #88048C23semidirect
483. #88048C23semidirect
484. #88047C23semidirect
485. C4⋊#1055C23semidirect
486. #88043C23semidirect
571. D4×D13#41semidirect
743. #3297D13semidirect
926. #553C2×D13semidirect
938. #546C2×D13semidirect
969. #488C2×D13semidirect
974. #484C2×D13semidirect
981. #482C2×D13semidirect
991. #478C2×D13semidirect
1009. #466C2×D13semidirect
1011. #465C2×D13semidirect
1015. #463C2×D13semidirect
1023. #449C2×D13semidirect
1035. #447C2×D13semidirect
1043. C4×D8C2×D13semidirect
1051. C8×D4C2×D13semidirect
1073. #416C2×D13semidirect
1081. C2×#102C2×D13semidirect
1187. C2×SD16C22×D13semidirect
1213. C22×C8C22×D13semidirect
1227. #125C22×D13semidirect
1292. #121C22×D13semidirect
1339. C4×D4C22×D13semidirect
1351. #117C22×D13semidirect
1372. #107C22×D13semidirect
1373. #107C22×D13semidirect
1379. #106C22×D13semidirect
1383. C4⋊C8C22×D13semidirect
1387. #103C22×D13semidirect
1388. #103C22×D13semidirect
1389. #103C22×D13semidirect
1423. #102C22×D13semidirect
1431. C22⋊C8C22×D13semidirect
1435. C4×C8C22×D13semidirect
1691. C13#61183semidirect

Maximal subgroups

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

subgroupindex
#131285672
#131284662
#131270802
#131270762
#131270362
#131270302
#131269992
#131269882
#131269832
#131269742
#131269732
#131269712
#131268032
#131267972
#131266842
#131266502
#131266422
#131251892
#131247912
#131247522
#131246642
#131244792
#131244482
#131243372
#131241012
D13×#4472
#131236832
#131235562
#131233582
C2×#117184312
C13×#32972
#6118313