Finite Group Databasebeta

← #16738536

Subgroups — #16738536

Order 3328.

2912 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719527C211yesmaximal, characteristic, complemented
2C22×#88203C211yesmaximal, characteristic, complemented
3C2×#11719255C211yesmaximal, characteristic, complemented
4#13126544C212yesmaximal, complemented
5#13126517C212yesmaximal, complemented
6#13126468C212yesmaximal, complemented
7#13126443C212yesmaximal, complemented
8#13126377C212yesmaximal, complemented
9#13126362C212yesmaximal, complemented
10#13126347C212yesmaximal, complemented
11#13126312C212yesmaximal, complemented
12#13125304C211yesmaximal, characteristic, complemented
13#13124468C211yesmaximal, characteristic, complemented
14#13124457C211yesmaximal, characteristic, complemented
15#13124330C211yesmaximal, characteristic, complemented
16#13124296C211yesmaximal, characteristic, complemented
17#13124096C211yesmaximal, characteristic, complemented
18#13124088C211yesmaximal, characteristic, complemented
19#13124076C211yesmaximal, characteristic, complemented
20#13124062C211yesmaximal, characteristic, complemented
21C4×#88203C211yesmaximal, characteristic, complemented
22D4×#6099C211yesmaximal, characteristic, complemented
23D4×C13×#41C211yesmaximal, characteristic, complemented
24C22×C13×#41C2211yescharacteristic
25C22×C13×#41C2211yescharacteristic, complemented
26C22×#6127C2211yescharacteristic, complemented
27C23×D52C2211yescharacteristic, complemented
28C13×#550C2211yescharacteristic, complemented
29D4×Q8×C13C2211yescharacteristic, complemented
30C13×#548C2211yescharacteristic, complemented
31C13×#548C2211yescharacteristic, complemented
32C13×#547—21no—
33C13×#547C2211yescharacteristic, complemented
34C13×#546—21no—
35C13×#546—21no—
36C13×#546C2211yescharacteristic, complemented
37C13×#546C2211yescharacteristic, complemented
38D42×C13—21no—
39D42×C13C2211yescharacteristic, complemented
40C13×#532—21no—
41C13×#532C2211yescharacteristic, complemented
42C13×#525—21no—
43C13×#525—21no—
44C13×#525C2211yescharacteristic
45C13×#525C2211yescharacteristic, complemented
46C4×C13×#41C2211yescharacteristic, complemented
47C2×C4×D4×C13—21no—
48C2×C4×D4×C13C2211yescharacteristic
49C2×#88205C2211yescharacteristic, complemented
50C2×#88205C2211yescharacteristic, complemented
51C2×#88205C2211yescharacteristic, complemented
52#11719527—28no—
53C2×#88204C2212yescomplemented
54C2×#88204C2212yescomplemented
55C2×#88203—28no—
56C2×#88203C2211yescharacteristic
57C2×#88203C2211yescharacteristic
58C2×#88203C2212yescomplemented
59C2×#88203C2212yescomplemented
60C2×#88203C2211yescharacteristic, complemented
61C2×#88203C2211yescharacteristic, complemented
62C2×#88203C2211yescharacteristic, complemented
63C2×#88203C2211yescharacteristic, complemented
64C2×#88196C2212yescomplemented
65C22×#6106C2212yescomplemented
66C2×#88191—21no—
67C2×#88186C2212yescomplemented
68C22×#6104C2212yescomplemented
69C2×#88184C2211yescharacteristic, complemented
70C2×#88178C2211yescharacteristic, complemented
71C22×#6099C2211yescharacteristic, complemented
72C22×#6099C2211yescharacteristic, complemented
73#11719255—21no—
74#11719255—21no—
75#11719255—21no—
76#11719255—21no—
77#11719255C2212yes—
78#11719255C2212yescomplemented
79#11719255C2212yescomplemented
80#11719255C2212yescomplemented
81C2×#88148—21no—
82C2×#88138—21no—
83C2×C22⋊C4×D13—21no—
84C2×#88129C2211yescharacteristic, complemented
85C2×C4×D52C2211yescharacteristic, complemented
86#11718900C2212yescomplemented
87#11718900C2212yescomplemented
88#11718899C2212yescomplemented
89#11718899C2212yescomplemented
90#11718893C2211yescharacteristic, complemented
91#11718893C2211yescharacteristic, complemented
92#11718893C2211yescharacteristic, complemented
93#11718889C2212yescomplemented
94#11718888C2212yescomplemented
95#11718879C2212yescomplemented
96#11718878C2212yescomplemented
97#11718868C2211yescharacteristic, complemented
98#11718868C2211yescharacteristic, complemented
99#11718747C2212yescomplemented
100#11718744C2212yescomplemented
101#11718735C2212yescomplemented
102#11718733C2212yescomplemented
103#11718720C2212yescomplemented
104#11718720C2212yescomplemented
105#11718718C2212yescomplemented
106#11718718C2212yescomplemented
107#11718713C2212yescomplemented
108#11718712C2212yescomplemented
109#11718710C2212yescomplemented
110#11718709C2212yescomplemented
111#11718708C2212yescomplemented
112#11718708C2212yescomplemented
113#11718707C2212yescomplemented
114#11718707C2212yescomplemented
115#11718703C2212yescomplemented
116#11718702C2212yescomplemented
117#11718700C2212yescomplemented
118#11718699C2212yescomplemented
119#11718698C2212yescomplemented
120#11718698C2212yescomplemented
121#11718697C2212yescomplemented
122#11718697C2212yescomplemented
123#11718689C2212yescomplemented
124#11718689C2212yescomplemented
125#11718687C2212yescomplemented
126C4×#6106C2212yescomplemented
127#11718677C2212yescomplemented
128#11718677C2212yescomplemented
129#11718675C2212yescomplemented
130C4×#6104C2212yescomplemented
131#11718673C2212yescomplemented
132#11718672C2212yescomplemented
133#11718672C2212yescomplemented
134D4×#1055C2212yescomplemented
135#11718665C2211yescharacteristic, complemented
136#11718662C2211yescharacteristic, complemented
137#11718662C2211yescharacteristic, complemented
138#11718656C2211yescharacteristic, complemented
139#11718585C2211yescharacteristic, complemented
140C4×#6099C2211yescharacteristic, complemented
141C24×D13—21no—
142C2×C13×#41—21no—
143C2×C13×#41—21no—
144C2×C13×#41—21no—
145C2×C13×#41—21no—
146C2×C13×#41—24no—
147C2×C13×#41—24no—
148C2×C13×#41—42no—
149C2×C13×#41—42no—
150C2×C13×#41C2311yescharacteristic
151C2×C13×#41C2311yescharacteristic
152C2×C13×#41C2311yescharacteristic
153C2×C13×#41C2311yescharacteristic
154C2×C13×#41C2311yescharacteristic
155C2×C13×#41C2311yescharacteristic, complemented
156C2×C13×#41C2311yescharacteristic, complemented
157C22×Q8×C13C2311yescharacteristic
158C22×Q8×C13C2311yescharacteristic, complemented
159C22×D4×C13—21no—
160C22×D4×C13—21no—
161C22×D4×C13—21no—
162C22×D4×C13D411yescharacteristic
163C22×D4×C13C2311yescharacteristic
164C22×D4×C13C2311yescharacteristic, complemented
165C23×C4×C13—21no—
166C23×C4×C13—21no—
167C23×C4×C13C2311yescharacteristic
168C23×C4×C13C2311yescharacteristic
169C22×C22⋊D13—21no—
170C22×C22⋊D13—21no—
171C2×#6127—21no—
172C2×#6127—21no—
173C2×#6127—24no—
174C2×#6127—42no—
175C2×#6127C2312yes—
176C2×#6127C2312yes—
177C22×D52—24no—
178C22×D52—21no—
179C22×D52—21no—
180C22×D52—21no—
181C22×D52—42no—
182C22×D52C2311yescharacteristic
183C22×D52C2312yes—
184C22×D52C2312yes—
185C22×D52C2311yescharacteristic
186C22×C4×D13—21no—
187C22×C4×D13—21no—
188C22×Dic26C2311yescharacteristic
189C13×C4⋊Q8—21no—
190C13×C4⋊Q8C2311yescharacteristic, complemented
191C13×#127—21no—
192C13×#127C2311yescharacteristic, complemented
193C13×#124—21no—
194C13×#124—21no—
195C13×#124C2311yescharacteristic, complemented
196C13×#124C2311yescharacteristic, complemented
197C13×#123—21no—
198C13×#123—21no—
199C13×#123—21no—
200C13×#123—21no—
201C13×#123—21no—
202C13×#123—21no—
203C13×C22⋊Q8—21no—
204C13×C22⋊Q8—21no—
205C13×C22⋊Q8—21no—
206C13×C22⋊Q8—21no—
207C13×C22⋊Q8C2311yescharacteristic
208C13×C22⋊Q8C2311yescharacteristic
209C13×C22⋊Q8C2311yescharacteristic, complemented
210C13×C22⋊Q8C2311yescharacteristic, complemented
211C13×#121—21no—
212C13×#121—21no—
213C13×#121—21no—
214C13×#121—21no—
215C13×#121—21no—
216C13×#121—21no—
217C13×#121—21no—
218C13×#121—21no—
219C13×#121—21no—
220C13×#121—21no—
221C13×#121C2311yescharacteristic
222C13×#121C2311yescharacteristic
223C13×#121C2311yescharacteristic, complemented
224C13×#121C2311yescharacteristic, complemented
225C13×#120—21no—
226C13×#120—21no—
227C13×#120—21no—
228C13×#120—21no—
229C13×#120—21no—
230C13×#120—21no—
231C4×Q8×C13C2311yescharacteristic, complemented
232C4×Q8×C13C2311yescharacteristic, complemented
233C4×D4×C13—21no—
234C4×D4×C13—21no—
235C4×D4×C13—21no—
236C4×D4×C13—21no—
237C4×D4×C13—21no—
238C4×D4×C13—21no—
239C4×D4×C13—21no—
240C4×D4×C13—21no—
241C4×D4×C13—21no—
242C4×D4×C13—21no—
243C4×D4×C13—21no—
244C4×D4×C13—21no—
245C4×D4×C13D411yescharacteristic
246C4×D4×C13D411yescharacteristic
247C4×D4×C13D411yescharacteristic
248C4×D4×C13D411yescharacteristic
249C4×D4×C13C2311yescharacteristic
250C4×D4×C13C2311yescharacteristic
251C4×D4×C13C2311yescharacteristic
252C4×D4×C13C2311yescharacteristic
253C4×D4×C13C2311yescharacteristic, complemented
254C4×D4×C13C2311yescharacteristic, complemented
255C13×#117—21no—
256C13×#117C2311yescharacteristic
257C2×C13×C4⋊C4—21no—
258C2×C13×C4⋊C4D411yescharacteristic
259C2×C13×C22⋊C4—21no—
260C2×C13×C22⋊C4—21no—
261C2×C13×C22⋊C4D411yescharacteristic
262C2×C13×C22⋊C4D411yescharacteristic
263C2×C42×C13—21no—
264C2×C42×C13C2311yescharacteristic
265C2×C22⋊Dic13—21no—
266#88205—24no—
267#88205—24no—
268#88205—42no—
269#88204—28no—
270#88204—28no—
271#88203—24no—
272#88203—24no—
273#88203—24no—
274#88203—28no—
275#88203—28no—
276#88203—24no—
277#88203—42no—
278#88203D418yescomplemented
279C2×#6107C2312yescomplemented
280C2×#6107C2312yescomplemented
281C2×#6107C2312yescomplemented
282#88196—28no—
283C2×#6106—28no—
284C2×#6106C2312yes—
285C2×#6106C2312yes—
286C2×#6106C2312yes—
287C2×#6106C2312yes—
288C2×#6106C2312yes—
289C2×#6106C2312yes—
290#88191—22no—
291#88191—22no—
292#88191—22no—
293#88191—22no—
294C2×#6105C2312yescomplemented
295C2×#6105C2312yescomplemented
296C2×#6105C2312yescomplemented
297#88186—28no—
298C2×#6104—28no—
299C2×#6104C2312yes—
300C2×#6104C2312yes—
301C2×#6104C2312yes—
302C2×#6104C2312yes—
303C2×#6104C2312yes—
304C2×#6104C2312yes—
305#88184—21no—
306#88184—21no—
307#88184C2312yes—
308#88184C2312yes—
309C2×#6103—21no—
310C2×#6103—21no—
311C2×#6103—21no—
312C2×#6103—21no—
313C2×C4⋊Dic13C2311yescharacteristic
314#88178—21no—
315#88178—21no—
316#88178C2312yes—
317#88178C2312yes—
318C2×#6101—21no—
319C2×#6099—24no—
320C2×#6099—24no—
321C2×#6099C2311yescharacteristic
322C2×#6099C2311yescharacteristic
323C2×#6099C2311yescharacteristic
324C2×#6099C2312yes—
325C2×#6099C2311yescharacteristic
326C2×#6099C2312yescomplemented
327C22×#1055C2312yes—
328C22×#1055C2312yescomplemented
329#88148—22no—
330#88148—22no—
331#88148—22no—
332#88148—22no—
333#88138—22no—
334#88138—22no—
335#88138—22no—
336#88138—22no—
337C22⋊C4×D13—22no—
338C22⋊C4×D13—22no—
339C22⋊C4×D13—22no—
340C22⋊C4×D13—22no—
341#88129—21no—
342#88129—21no—
343#88129C2312yes—
344#88129C2312yes—
345C4×D52—21no—
346C4×D52—21no—
347C4×D52C2312yes—
348C4×D52C2312yes—
349#88075C2312yescomplemented
350#88075C2312yescomplemented
351#88075C2312yescomplemented
352#88072C2312yescomplemented
353#88072C2312yescomplemented
354#88072C2312yescomplemented
355C22⋊#1055C2312yes—
356C22⋊#1055C2312yes—
357C22⋊#1055C2312yescomplemented
358C22⋊#1055C2312yescomplemented
359#88050C2312yescomplemented
360#88050C2312yescomplemented
361#88049C2312yes—
362#88049C2312yes—
363#88049C2312yes—
364#88049C2312yes—
365#88048C2312yescomplemented
366#88047C2312yescomplemented
367C4⋊#1055C2312yescomplemented
368C4⋊#1055C2312yescomplemented
369#88043C2312yescomplemented
370C4×#1055C2312yescomplemented
371#61066—131nomaximal, Sylow
372C24×C13—21no—
373C24×C13—21no—
374C24×C13C2×D411yescharacteristic
375C24×C13C2×D411yescharacteristic
376C23×D13—21no—
377C23×D13—21no—
378C23×D13—22no—
379C23×D13—22no—
380C23×D13—44no—
381C23×D13—44no—
382C23×D13—82no—
383C13×#41—22no—
384C13×#41—22no—
385C13×#41—22no—
386C13×#41—22no—
387C13×#41—22no—
388C13×#41—22no—
389C13×#41—22no—
390C13×#41—22no—
391C13×#41—22no—
392C13×#41—44no—
393C13×#41—44no—
394C13×#41—41no—
395C13×#41—41no—
396C13×#41—41no—
397C13×#41—41no—
398C13×#41—44no—
399C13×#41—44no—
400C13×#41C2×D414yes—
401C2×Q8×C13—21no—
402C2×Q8×C13—21no—
403C2×Q8×C13—22no—
404C2×Q8×C13—22no—
405C2×Q8×C13—41no—
406C2×Q8×C13—41no—
407C2×Q8×C13C2411yescharacteristic
408C2×Q8×C13C2411yescharacteristic
409C2×Q8×C13C2411yescharacteristic
410C2×D4×C13—21no—
411C2×D4×C13—22no—
412C2×D4×C13—22no—
413C2×D4×C13—21no—
414C2×D4×C13—21no—
415C2×D4×C13—21no—
416C2×D4×C13—21no—
417C2×D4×C13—21no—
418C2×D4×C13—21no—
419C2×D4×C13—21no—
420C2×D4×C13—21no—
421C2×D4×C13—21no—
422C2×D4×C13—21no—
423C2×D4×C13—21no—
424C2×D4×C13—21no—
425C2×D4×C13—21no—
426C2×D4×C13—21no—
427C2×D4×C13—41no—
428C2×D4×C13—41no—
429C2×D4×C13—42no—
430C2×D4×C13—44no—
431C2×D4×C13—44no—
432C2×D4×C13—44no—
433C2×D4×C13C2×D411yescharacteristic
434C2×D4×C13C2×D411yescharacteristic
435C2×D4×C13C2×D411yescharacteristic
436C2×D4×C13C2×D411yescharacteristic
437C2×D4×C13C2411yescharacteristic
438C2×D4×C13C2411yescharacteristic
439C2×D4×C13C2411yescharacteristic
440C22×C4×C13—22no—
441C22×C4×C13—22no—
442C22×C4×C13—21no—
443C22×C4×C13—22no—
444C22×C4×C13—22no—
445C22×C4×C13—21no—
446C22×C4×C13—21no—
447C22×C4×C13—21no—
448C22×C4×C13—21no—
449C22×C4×C13—21no—
450C22×C4×C13—21no—
451C22×C4×C13—21no—
452C22×C4×C13—21no—
453C22×C4×C13—21no—
454C22×C4×C13—21no—
455C22×C4×C13—44no—
456C22×C4×C13—44no—
457C22×C4×C13C2×D411yescharacteristic
458C22×C4×C13C2×D411yescharacteristic
459C22×C4×C13C2×D411yescharacteristic
460C22×C4×C13C2×D411yescharacteristic
461C22×C4×C13C2×D411yescharacteristic
462C22×C4×C13C2×D411yescharacteristic
463C22×C4×C13C2×D411yescharacteristic
464C22×C4×C13C2×D411yescharacteristic
465C22×C4×C13C2411yescharacteristic
466C22×C4×C13C2411yescharacteristic
467C22×C4×C13C2411yescharacteristic
468C22×C4×C13C2411yescharacteristic
469C22×C4×C13C2411yescharacteristic
470C2×C22⋊D13—22no—
471C2×C22⋊D13—22no—
472C2×C22⋊D13—22no—
473C2×C22⋊D13—22no—
474C2×C22⋊D13—44no—
475C2×C22⋊D13—82no—
476C22×Dic13—21no—
477C22×Dic13—21no—
478#6127—24no—
479#6127—24no—
480#6127—42no—
481#6127—42no—
482#6127—44no—
483#6127—44no—
484C2×D52—21no—
485C2×D52—22no—
486C2×D52—22no—
487C2×D52—22no—
488C2×D52—24no—
489C2×D52—24no—
490C2×D52—21no—
491C2×D52—22no—
492C2×D52—22no—
493C2×D52—42no—
494C2×D52—42no—
495C2×D52—44no—
496C2×D52—44no—
497C2×D52—44no—
498C2×D52C2×D414yescomplemented
499C2×D52C2412yes—
500C2×D52C2412yes—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—22no—
505C2×C4×D13—44no—
506C2×C4×D13—82no—
507C2×Dic26—22no—
508C2×Dic26—22no—
509C2×Dic26—21no—
510C2×Dic26C2412yes—
511C13×C4⋊C4—21no—
512C13×C4⋊C4—21no—
513C13×C4⋊C4—21no—
514C13×C4⋊C4—21no—
515C13×C4⋊C4—21no—
516C13×C4⋊C4—21no—
517C13×C4⋊C4—21no—
518C13×C4⋊C4—21no—
519C13×C4⋊C4C2×D411yescharacteristic
520C13×C4⋊C4C2×D411yescharacteristic
521C13×C4⋊C4C2×D411yescharacteristic
522C13×C4⋊C4C2×D411yescharacteristic
523C13×C4⋊C4C2411yescharacteristic
524C13×C4⋊C4C2411yescharacteristic
525C13×C22⋊C4—21no—
526C13×C22⋊C4—21no—
527C13×C22⋊C4—21no—
528C13×C22⋊C4—21no—
529C13×C22⋊C4—21no—
530C13×C22⋊C4—21no—
531C13×C22⋊C4—21no—
532C13×C22⋊C4—21no—
533C13×C22⋊C4—21no—
534C13×C22⋊C4—21no—
535C13×C22⋊C4—21no—
536C13×C22⋊C4—21no—
537C13×C22⋊C4—21no—
538C13×C22⋊C4—21no—
539C13×C22⋊C4—21no—
540C13×C22⋊C4C2×D411yescharacteristic
541C13×C22⋊C4C2×D411yescharacteristic
542C13×C22⋊C4C2×D411yescharacteristic
543C13×C22⋊C4C2×D411yescharacteristic
544C13×C22⋊C4C2×D411yescharacteristic
545C13×C22⋊C4C2×D411yescharacteristic
546C13×C22⋊C4C2×D411yescharacteristic
547C13×C22⋊C4C2×D411yescharacteristic
548C42×C13—21no—
549C42×C13—21no—
550C42×C13—21no—
551C42×C13C2×D411yescharacteristic
552C42×C13C2×D411yescharacteristic
553C42×C13C2411yescharacteristic
554C42×C13C2411yescharacteristic
555C22⋊Dic13—22no—
556C22⋊Dic13—22no—
557#6107—24no—
558#6107—24no—
559#6107—42no—
560#6106—24no—
561#6106—24no—
562#6106—24no—
563#6106—24no—
564#6106—42no—
565#6106C2×D418yescomplemented
566#6105—24no—
567#6105—24no—
568#6105—42no—
569#6104—24no—
570#6104—24no—
571#6104—24no—
572#6104—24no—
573#6104—42no—
574#6104C2×D418yescomplemented
575#6103—22no—
576#6103—22no—
577#6103—22no—
578#6103—22no—
579#6103—22no—
580#6103—22no—
581#6103—22no—
582#6103—22no—
583C4⋊Dic13—21no—
584C4⋊Dic13C2412yes—
585#6101—22no—
586#6101—22no—
587#6099—22no—
588#6099—22no—
589#6099—22no—
590#6099—24no—
591#6099—24no—
592#6099C2×D414yescomplemented
593C2×#1055—24no—
594C2×#1055—24no—
595C2×#1055C2412yes—
596C2×#1055C2412yes—
597C2×#1055C2412yes—
598C2×#1055C2412yes—
599C2×#575—131no—
600C22×AGL(1,ℤ/8)—131no—
601D4×#41D1311yescharacteristic, complemented
602C2×#546—131no—
603#3282—132no—
604#3280—132no—
605#3275—132no—
606#3273—132no—
607#3268—132no—
608#3267—132no—
609#3266—132no—
610#3264—132no—
611#3153—131no—
612#3056—131no—
613#3055—131no—
614#3040—131no—
615#3036—131no—
616#3007—131no—
617#3006—131no—
618#3005—131no—
619#3003—131no—
620C4×AGL(1,ℤ/8)—131no—
621D4×M16—131no—
622C23×C13—22no—
623C23×C13—22no—
624C23×C13—21no—
625C23×C13—22no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—41no—
629C23×C13—41no—
630C23×C13—41no—
631C23×C13—42no—
632C23×C13—42no—
633C23×C13—42no—
634C23×C13—42no—
635C23×C13—81no—
636C23×C13—81no—
637C23×C13C22×D411yescharacteristic
638C23×C13C22×D411yescharacteristic
639C23×C13C22×D411yescharacteristic
640C23×C13C22×D411yescharacteristic
641C23×C13C22×D411yescharacteristic
642C22×D13—24no—
643C22×D13—22no—
644C22×D13—22no—
645C22×D13—44no—
646C22×D13—44no—
647C22×D13—42no—
648C22×D13—42no—
649C22×D13—42no—
650C22×D13—44no—
651C22×D13—42no—
652C22×D13—42no—
653C22×D13—44no—
654C22×D13—82no—
655C22×D13—82no—
656C22×D13—816no—
657Q8×C13—21no—
658Q8×C13—21no—
659Q8×C13—21no—
660Q8×C13—21no—
661Q8×C13—21no—
662Q8×C13—42no—
663Q8×C13—42no—
664Q8×C13C22×D412yes—
665D4×C13—24no—
666D4×C13—22no—
667D4×C13—22no—
668D4×C13—21no—
669D4×C13—21no—
670D4×C13—21no—
671D4×C13—21no—
672D4×C13—21no—
673D4×C13—41no—
674D4×C13—41no—
675D4×C13—42no—
676D4×C13—42no—
677D4×C13—42no—
678D4×C13—42no—
679D4×C13—42no—
680D4×C13—42no—
681D4×C13—42no—
682D4×C13—42no—
683D4×C13—42no—
684D4×C13—42no—
685D4×C13—42no—
686D4×C13—81no—
687D4×C13—81no—
688D4×C13—81no—
689D4×C13C22×D412yes—
690C2×C4×C13—22no—
691C2×C4×C13—22no—
692C2×C4×C13—21no—
693C2×C4×C13—22no—
694C2×C4×C13—22no—
695C2×C4×C13—22no—
696C2×C4×C13—22no—
697C2×C4×C13—24no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—41no—
711C2×C4×C13—41no—
712C2×C4×C13—42no—
713C2×C4×C13—42no—
714C2×C4×C13—42no—
715C2×C4×C13—42no—
716C2×C4×C13—42no—
717C2×C4×C13—42no—
718C2×C4×C13—42no—
719C2×C4×C13—42no—
720C2×C4×C13—42no—
721C2×C4×C13—81no—
722C2×C4×C13C22×D411yescharacteristic
723C2×C4×C13C22×D411yescharacteristic
724C2×C4×C13C22×D411yescharacteristic
725C2×C4×C13C22×D411yescharacteristic
726C2×C4×C13C22×D411yescharacteristic
727C2×C4×C13C22×D411yescharacteristic
728C2×C4×C13C22×D411yescharacteristic
729C2×C4×C13C22×D411yescharacteristic
730C2×C4×C13C22×D411yescharacteristic
731C2×C4×C13C22×D412yes—
732C2×C4×C13H(5,𝔽2)12yes—
733C2×C4×C13C2511yescharacteristic
734C22⋊D13—44no—
735C22⋊D13—44no—
736C22⋊D13—82no—
737C22⋊D13—82no—
738C2×Dic13—22no—
739C2×Dic13—22no—
740C2×Dic13—42no—
741C2×Dic13—42no—
742D52—24no—
743D52—22no—
744D52—22no—
745D52—22no—
746D52—44no—
747D52—44no—
748D52—42no—
749D52C22×D414yes—
750C4×D13—44no—
751C4×D13—44no—
752C4×D13—82no—
753C4×D13—82no—
754Dic26—22no—
755Dic26—22no—
756Dic26—42no—
757#1055—22no—
758#1055—22no—
759#1055—22no—
760#1055C22×D414yes—
761C22×#41—131no—
762C22×#41C2×D1311yescharacteristic
763C22×#41C2×D1311yescharacteristic, complemented
764C23×D4—131no—
765#575—268no—
766C2×#137—131no—
767C2×#137—131no—
768C2×#137—132no—
769C2×#137—131no—
770C2×AGL(1,ℤ/8)—131no—
771C2×AGL(1,ℤ/8)—131no—
772C2×AGL(1,ℤ/8)—131no—
773C2×AGL(1,ℤ/8)—131no—
774C2×AGL(1,ℤ/8)—131no—
775C2×AGL(1,ℤ/8)—132no—
776C2×AGL(1,ℤ/8)—132no—
777C2×AGL(1,ℤ/8)—132no—
778C2×AGL(1,ℤ/8)—131no—
779C2×AGL(1,ℤ/8)—268no—
780C2×#135—132no—
781C2×#135—132no—
782C22×SD16—132no—
783C22×D8—132no—
784C22×M16—131no—
785C22×M16—131no—
786#550C2×D1311yescharacteristic, complemented
787D4×Q8C2×D1311yescharacteristic, complemented
788#548C2×D1311yescharacteristic, complemented
789#548C2×D1311yescharacteristic, complemented
790#547—21no—
791#547C2×D1311yescharacteristic, complemented
792#546—21no—
793#546—21no—
794#546—132no—
795#546—132no—
796#546—132no—
797#546—132no—
798#546—261no—
799#546—261no—
800#546—261no—
801#546—261no—
802#546C2×D1311yescharacteristic, complemented
803#546C2×D1311yescharacteristic, complemented
804D42—21no—
805D42C2×D1311yescharacteristic, complemented
806#532—21no—
807#532C2×D1311yescharacteristic, complemented
808C2×#124—131no—
809#525—21no—
810#525—21no—
811#525C2×D1311yescharacteristic
812#525C2×D1311yescharacteristic, complemented
813C2×#123—261no—
814C2×C22⋊Q8—131no—
815C2×#121—131no—
816C2×#121—261no—
817C2×#120—261no—
818C4×#41C2×D1311yescharacteristic, complemented
819C2×C4×D4—21no—
820C2×C4×D4—131no—
821C2×C4×D4C2×D1311yescharacteristic
822C22×C22⋊C4—261no—
823#497—132no—
824#496—132no—
825#495—132no—
826#495—132no—
827#470—132no—
828#469—132no—
829#468—132no—
830#468—132no—
831#467—132no—
832#466—132no—
833#465—132no—
834#465—132no—
835#464—132no—
836#464—132no—
837#463—132no—
838#463—132no—
839#463—132no—
840#463—132no—
841#461—132no—
842#459—132no—
843#452—132no—
844#452—132no—
845#452—132no—
846#452—132no—
847#451—132no—
848#450—132no—
849#450—132no—
850#450—132no—
851#449—132no—
852#449—132no—
853#449—132no—
854#449—132no—
855#448—132no—
856#447—132no—
857#447—132no—
858#447—132no—
859#442—132no—
860#440—132no—
861C4×SD16—132no—
862C4×D8—132no—
863#436—132no—
864#435—132no—
865#435—132no—
866C8×D4—132no—
867#428—131no—
868#423—131no—
869#419—131no—
870#418—131no—
871#418—131no—
872#417—131no—
873#417—131no—
874#417—131no—
875#407—131no—
876#407—131no—
877C4×M16—131no—
878C22×C13—21no—
879C22×C13—21no—
880C22×C13—21no—
881C22×C13—21no—
882C22×C13—21no—
883C22×C13—21no—
884C22×C13—21no—
885C22×C13—21no—
886C22×C13—21no—
887C22×C13—21no—
888C22×C13—22no—
889C22×C13—21no—
890C22×C13—21no—
891C22×C13—21no—
892C22×C13—44no—
893C22×C13—41no—
894C22×C13—41no—
895C22×C13—41no—
896C22×C13—41no—
897C22×C13—41no—
898C22×C13—41no—
899C22×C13—41no—
900C22×C13—41no—
901C22×C13—82no—
902C22×C13—84no—
903C22×C13—84no—
904C22×C13D4212yes—
905C22×C13#57512yescomplemented
906C22×C13C23×D411yescharacteristic
907C2×D13—24no—
908C2×D13—48no—
909C2×D13—42no—
910C2×D13—42no—
911C2×D13—42no—
912C2×D13—42no—
913C2×D13—42no—
914C2×D13—88no—
915C2×D13—88no—
916C2×D13—84no—
917C4×C13—21no—
918C4×C13—21no—
919C4×C13—21no—
920C4×C13—21no—
921C4×C13—21no—
922C4×C13—21no—
923C4×C13—22no—
924C4×C13—21no—
925C4×C13—21no—
926C4×C13—41no—
927C4×C13—41no—
928C4×C13—41no—
929C4×C13—41no—
930C4×C13D4212yes—
931C4×C13C23×D411yescharacteristic
932C4×C13C2×H(5,𝔽2)11yescharacteristic
933Dic13—42no—
934Dic13—42no—
935C25—261no—
936C2×#41—21no—
937C2×#41—21no—
938C2×#41—21no—
939C2×#41—21no—
940C2×#41—24no—
941C2×#41—24no—
942C2×#41—42no—
943C2×#41—42no—
944C2×#41—132no—
945C2×#41—132no—
946C2×#41—264no—
947C2×#41—261no—
948C2×#41—261no—
949C2×#41—522no—
950C2×#41C22×D1311yescharacteristic
951C2×#41C22×D1311yescharacteristic
952C2×#41C22×D1311yescharacteristic
953C2×#41C22×D1311yescharacteristic
954C2×#41C22×D1311yescharacteristic
955C2×#41C22×D1311yescharacteristic, complemented
956C2×#41C22×D1311yescharacteristic, complemented
957C22×Q8—131no—
958C22×Q8C22×D1311yescharacteristic
959C22×Q8C22×D1311yescharacteristic, complemented
960C22×D4—21no—
961C22×D4—21no—
962C22×D4—21no—
963C22×D4—131no—
964C22×D4—131no—
965C22×D4—132no—
966C22×D4—132no—
967C22×D4—264no—
968C22×D4—261no—
969C22×D4—261no—
970C22×D4—261no—
971C22×D4—261no—
972C22×D4—261no—
973C22×D4—522no—
974C22×D4C22⋊D1311yescharacteristic
975C22×D4C22×D1311yescharacteristic
976C22×D4C22×D1311yescharacteristic, complemented
977C23×C4—21no—
978C23×C4—21no—
979C23×C4—261no—
980C23×C4—261no—
981C23×C4C22×D1311yescharacteristic
982C23×C4C22×D1311yescharacteristic
983#137—264no—
984#137—268no—
985#137—264no—
986#137—522no—
987AGL(1,ℤ/8)—138no—
988AGL(1,ℤ/8)—264no—
989AGL(1,ℤ/8)—268no—
990AGL(1,ℤ/8)—268no—
991AGL(1,ℤ/8)—268no—
992AGL(1,ℤ/8)—264no—
993AGL(1,ℤ/8)—264no—
994AGL(1,ℤ/8)—264no—
995AGL(1,ℤ/8)—522no—
996#135—268no—
997#135—268no—
998C2×Q16—132no—
999C2×Q16—132no—
1000C2×Q16—132no—
1001C2×SD16—132no—
1002C2×SD16—132no—
1003C2×SD16—132no—
1004C2×SD16—132no—
1005C2×SD16—132no—
1006C2×SD16—132no—
1007C2×SD16—132no—
1008C2×SD16—132no—
1009C2×SD16—132no—
1010C2×SD16—268no—
1011C2×D8—132no—
1012C2×D8—132no—
1013C2×D8—132no—
1014C2×D8—132no—
1015C2×D8—132no—
1016C2×D8—132no—
1017C2×D8—268no—
1018C2×M16—131no—
1019C2×M16—131no—
1020C2×M16—132no—
1021C2×M16—131no—
1022C2×M16—132no—
1023C2×M16—131no—
1024C2×M16—264no—
1025C2×M16—264no—
1026C22×C8—132no—
1027C22×C8—132no—
1028C4⋊Q8—21no—
1029C4⋊Q8C22×D1311yescharacteristic, complemented
1030#127—21no—
1031#127C22×D1311yescharacteristic, complemented
1032#124—21no—
1033#124—21no—
1034#124—132no—
1035#124—132no—
1036#124—261no—
1037#124—261no—
1038#124C22×D1311yescharacteristic, complemented
1039#124C22×D1311yescharacteristic, complemented
1040#123—21no—
1041#123—21no—
1042#123—21no—
1043#123—21no—
1044#123—21no—
1045#123—21no—
1046#123—262no—
1047#123—262no—
1048#123—262no—
1049#123—262no—
1050C22⋊Q8—21no—
1051C22⋊Q8—21no—
1052C22⋊Q8—21no—
1053C22⋊Q8—21no—
1054C22⋊Q8—132no—
1055C22⋊Q8—132no—
1056C22⋊Q8—261no—
1057C22⋊Q8—261no—
1058C22⋊Q8C22×D1311yescharacteristic
1059C22⋊Q8C22×D1311yescharacteristic
1060C22⋊Q8C22×D1311yescharacteristic, complemented
1061C22⋊Q8C22×D1311yescharacteristic, complemented
1062#121—21no—
1063#121—21no—
1064#121—21no—
1065#121—21no—
1066#121—21no—
1067#121—21no—
1068#121—21no—
1069#121—21no—
1070#121—21no—
1071#121—21no—
1072#121—132no—
1073#121—132no—
1074#121—261no—
1075#121—261no—
1076#121—262no—
1077#121—262no—
1078#121—262no—
1079#121—262no—
1080#121C22×D1311yescharacteristic
1081#121C22×D1311yescharacteristic
1082#121C22×D1311yescharacteristic, complemented
1083#121C22×D1311yescharacteristic, complemented
1084#120—21no—
1085#120—21no—
1086#120—21no—
1087#120—21no—
1088#120—21no—
1089#120—21no—
1090#120—262no—
1091#120—262no—
1092#120—262no—
1093#120—262no—
1094C4×Q8C22×D1311yescharacteristic, complemented
1095C4×Q8C22×D1311yescharacteristic, complemented
1096C4×D4—21no—
1097C4×D4—21no—
1098C4×D4—21no—
1099C4×D4—21no—
1100C4×D4—21no—
1101C4×D4—21no—
1102C4×D4—21no—
1103C4×D4—21no—
1104C4×D4—21no—
1105C4×D4—21no—
1106C4×D4—21no—
1107C4×D4—21no—
1108C4×D4—132no—
1109C4×D4—132no—
1110C4×D4—261no—
1111C4×D4—261no—
1112C4×D4C22⋊D1311yescharacteristic
1113C4×D4C22⋊D1311yescharacteristic
1114C4×D4C22⋊D1311yescharacteristic
1115C4×D4C22⋊D1311yescharacteristic
1116C4×D4C22×D1311yescharacteristic
1117C4×D4C22×D1311yescharacteristic
1118C4×D4C22×D1311yescharacteristic
1119C4×D4C22×D1311yescharacteristic
1120C4×D4C22×D1311yescharacteristic, complemented
1121C4×D4C22×D1311yescharacteristic, complemented
1122#117—21no—
1123#117C22×D1311yescharacteristic
1124C2×C4⋊C4—21no—
1125C2×C4⋊C4—131no—
1126C2×C4⋊C4—261no—
1127C2×C4⋊C4C22⋊D1311yescharacteristic
1128C2×C22⋊C4—21no—
1129C2×C22⋊C4—21no—
1130C2×C22⋊C4—261no—
1131C2×C22⋊C4—261no—
1132C2×C22⋊C4—261no—
1133C2×C22⋊C4—261no—
1134C2×C22⋊C4—261no—
1135C2×C22⋊C4—262no—
1136C2×C22⋊C4—262no—
1137C2×C22⋊C4—262no—
1138C2×C22⋊C4—262no—
1139C2×C22⋊C4C22⋊D1311yescharacteristic
1140C2×C22⋊C4C22⋊D1311yescharacteristic
1141C2×C42—21no—
1142C2×C42C22×D1311yescharacteristic
1143#107—132no—
1144#106—132no—
1145C4⋊C8—132no—
1146C4⋊C8—132no—
1147#103—132no—
1148#103—132no—
1149#103—132no—
1150#103—132no—
1151#103—132no—
1152#102—132no—
1153#102—132no—
1154#102—132no—
1155#102—132no—
1156#102—132no—
1157#102—132no—
1158#102—132no—
1159C22⋊C8—132no—
1160C22⋊C8—132no—
1161C22⋊C8—132no—
1162C22⋊C8—132no—
1163#97—132no—
1164C4×C8—132no—
1165C2×C13—22no—
1166C2×C13—22no—
1167C2×C13—41no—
1168C2×C13—41no—
1169C2×C13—41no—
1170C2×C13—42no—
1171C2×C13—81no—
1172C2×C13—81no—
1173C2×C13C2×D4211yescharacteristic
1174C2×C13C2×#57511yescharacteristic
1175C2×C13#358511yescharacteristic
1176D13—44no—
1177D13—82no—
1178C24—21no—
1179C24—21no—
1180C24—261no—
1181C24—261no—
1182C24—262no—
1183C24—262no—
1184C24—524no—
1185C24—524no—
1186C24—1042no—
1187C24C2×C22⋊D1311yescharacteristic
1188C24C2×C22⋊D1311yescharacteristic
1189#41—22no—
1190#41—22no—
1191#41—22no—
1192#41—22no—
1193#41—22no—
1194#41—22no—
1195#41—22no—
1196#41—22no—
1197#41—22no—
1198#41—44no—
1199#41—44no—
1200#41—41no—
1201#41—41no—
1202#41—41no—
1203#41—41no—
1204#41—44no—
1205#41—44no—
1206#41—264no—
1207#41—264no—
1208#41—522no—
1209#41—522no—
1210#41—524no—
1211#41—524no—
1212#41D4×D1314yes—
1213C2×Q8—21no—
1214C2×Q8—21no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—41no—
1218C2×Q8—41no—
1219C2×Q8—132no—
1220C2×Q8—261no—
1221C2×Q8—262no—
1222C2×Q8—262no—
1223C2×Q8C23×D1311yescharacteristic
1224C2×Q8C23×D1311yescharacteristic
1225C2×Q8C23×D1311yescharacteristic
1226C2×D4—21no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—21no—
1230C2×D4—21no—
1231C2×D4—21no—
1232C2×D4—21no—
1233C2×D4—21no—
1234C2×D4—21no—
1235C2×D4—21no—
1236C2×D4—21no—
1237C2×D4—21no—
1238C2×D4—21no—
1239C2×D4—21no—
1240C2×D4—21no—
1241C2×D4—21no—
1242C2×D4—21no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—134no—
1250C2×D4—132no—
1251C2×D4—132no—
1252C2×D4—264no—
1253C2×D4—264no—
1254C2×D4—262no—
1255C2×D4—262no—
1256C2×D4—262no—
1257C2×D4—262no—
1258C2×D4—262no—
1259C2×D4—262no—
1260C2×D4—262no—
1261C2×D4—261no—
1262C2×D4—262no—
1263C2×D4—262no—
1264C2×D4—261no—
1265C2×D4—522no—
1266C2×D4—522no—
1267C2×D4—524no—
1268C2×D4—524no—
1269C2×D4—524no—
1270C2×D4—524no—
1271C2×D4—1042no—
1272C2×D4C2×C22⋊D1311yescharacteristic
1273C2×D4C2×C22⋊D1311yescharacteristic
1274C2×D4C2×C22⋊D1311yescharacteristic
1275C2×D4C2×C22⋊D1311yescharacteristic
1276C2×D4C23×D1311yescharacteristic
1277C2×D4C23×D1311yescharacteristic
1278C2×D4C23×D1311yescharacteristic
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—261no—
1297C22×C4—261no—
1298C22×C4—262no—
1299C22×C4—262no—
1300C22×C4—262no—
1301C22×C4—262no—
1302C22×C4—524no—
1303C22×C4—1042no—
1304C22×C4C2×C22⋊D1311yescharacteristic
1305C22×C4C2×C22⋊D1311yescharacteristic
1306C22×C4C2×C22⋊D1311yescharacteristic
1307C22×C4C2×C22⋊D1311yescharacteristic
1308C22×C4C2×C22⋊D1311yescharacteristic
1309C22×C4C2×C22⋊D1311yescharacteristic
1310C22×C4C2×C22⋊D1311yescharacteristic
1311C22×C4C2×C22⋊D1311yescharacteristic
1312C22×C4C23×D1311yescharacteristic
1313C22×C4C23×D1311yescharacteristic
1314C22×C4C23×D1311yescharacteristic
1315C22×C4C23×D1311yescharacteristic
1316C22×C4C23×D1311yescharacteristic
1317Q16—264no—
1318Q16—264no—
1319Q16—522no—
1320SD16—138no—
1321SD16—264no—
1322SD16—264no—
1323SD16—264no—
1324SD16—264no—
1325SD16—264no—
1326SD16—264no—
1327SD16—522no—
1328SD16—522no—
1329D8—138no—
1330D8—264no—
1331D8—264no—
1332D8—264no—
1333D8—264no—
1334D8—522no—
1335M16—134no—
1336M16—264no—
1337M16—264no—
1338M16—262no—
1339M16—262no—
1340M16—262no—
1341C2×C8—132no—
1342C2×C8—132no—
1343C2×C8—132no—
1344C2×C8—132no—
1345C2×C8—264no—
1346C2×C8—264no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—132no—
1356C4⋊C4—261no—
1357C4⋊C4—262no—
1358C4⋊C4—262no—
1359C4⋊C4C2×C22⋊D1311yescharacteristic
1360C4⋊C4C2×C22⋊D1311yescharacteristic
1361C4⋊C4C2×C22⋊D1311yescharacteristic
1362C4⋊C4C2×C22⋊D1311yescharacteristic
1363C4⋊C4C23×D1311yescharacteristic
1364C4⋊C4C23×D1311yescharacteristic
1365C22⋊C4—21no—
1366C22⋊C4—21no—
1367C22⋊C4—21no—
1368C22⋊C4—21no—
1369C22⋊C4—21no—
1370C22⋊C4—21no—
1371C22⋊C4—21no—
1372C22⋊C4—21no—
1373C22⋊C4—21no—
1374C22⋊C4—21no—
1375C22⋊C4—21no—
1376C22⋊C4—21no—
1377C22⋊C4—21no—
1378C22⋊C4—21no—
1379C22⋊C4—21no—
1380C22⋊C4—262no—
1381C22⋊C4—262no—
1382C22⋊C4—262no—
1383C22⋊C4—262no—
1384C22⋊C4—262no—
1385C22⋊C4—262no—
1386C22⋊C4—262no—
1387C22⋊C4—262no—
1388C22⋊C4—262no—
1389C22⋊C4—262no—
1390C22⋊C4C2×C22⋊D1311yescharacteristic
1391C22⋊C4C2×C22⋊D1311yescharacteristic
1392C22⋊C4C2×C22⋊D1311yescharacteristic
1393C22⋊C4C2×C22⋊D1311yescharacteristic
1394C22⋊C4C2×C22⋊D1311yescharacteristic
1395C22⋊C4C2×C22⋊D1311yescharacteristic
1396C22⋊C4C2×C22⋊D1311yescharacteristic
1397C22⋊C4C2×C22⋊D1311yescharacteristic
1398C42—21no—
1399C42—21no—
1400C42—21no—
1401C42C2×C22⋊D1311yescharacteristic
1402C42C2×C22⋊D1311yescharacteristic
1403C42C23×D1311yescharacteristic
1404C42C23×D1311yescharacteristic
1405C13#6106611yescharacteristic, complemented, Sylow
1406C23—22no—
1407C23—22no—
1408C23—21no—
1409C23—22no—
1410C23—21no—
1411C23—21no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—42no—
1416C23—42no—
1417C23—42no—
1418C23—42no—
1419C23—81no—
1420C23—81no—
1421C23—264no—
1422C23—262no—
1423C23—262no—
1424C23—524no—
1425C23—524no—
1426C23—522no—
1427C23—522no—
1428C23—522no—
1429C23—522no—
1430C23—524no—
1431C23—522no—
1432C23—524no—
1433C23—1042no—
1434C23—1042no—
1435C23—10416no—
1436C23C22×C22⋊D1311yescharacteristic
1437C23C22×C22⋊D1311yescharacteristic
1438C23C22×C22⋊D1311yescharacteristic
1439C23C22×C22⋊D1311yescharacteristic
1440C23C22×C22⋊D1311yescharacteristic
1441Q8—21no—
1442Q8—21no—
1443Q8—21no—
1444Q8—21no—
1445Q8—21no—
1446Q8—42no—
1447Q8—42no—
1448Q8—262no—
1449Q8—262no—
1450Q8—522no—
1451Q8C2×D4×D1312yes—
1452D4—24no—
1453D4—22no—
1454D4—22no—
1455D4—21no—
1456D4—21no—
1457D4—21no—
1458D4—21no—
1459D4—21no—
1460D4—41no—
1461D4—41no—
1462D4—42no—
1463D4—42no—
1464D4—42no—
1465D4—42no—
1466D4—42no—
1467D4—42no—
1468D4—42no—
1469D4—42no—
1470D4—42no—
1471D4—42no—
1472D4—42no—
1473D4—81no—
1474D4—81no—
1475D4—81no—
1476D4—134no—
1477D4—264no—
1478D4—262no—
1479D4—262no—
1480D4—262no—
1481D4—524no—
1482D4—524no—
1483D4—524no—
1484D4—524no—
1485D4—522no—
1486D4—1042no—
1487D4—1042no—
1488D4C2×D4×D1312yes—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—42no—
1512C2×C4—42no—
1513C2×C4—42no—
1514C2×C4—42no—
1515C2×C4—42no—
1516C2×C4—42no—
1517C2×C4—42no—
1518C2×C4—42no—
1519C2×C4—42no—
1520C2×C4—81no—
1521C2×C4—262no—
1522C2×C4—262no—
1523C2×C4—524no—
1524C2×C4—524no—
1525C2×C4—522no—
1526C2×C4—522no—
1527C2×C4—1042no—
1528C2×C4—1042no—
1529C2×C4C2×D4×D1312yes—
1530C2×C4#8825112yes—
1531C2×C4C22×C22⋊D1311yescharacteristic
1532C2×C4C22×C22⋊D1311yescharacteristic
1533C2×C4C22×C22⋊D1311yescharacteristic
1534C2×C4C22×C22⋊D1311yescharacteristic
1535C2×C4C22×C22⋊D1311yescharacteristic
1536C2×C4C22×C22⋊D1311yescharacteristic
1537C2×C4C22×C22⋊D1311yescharacteristic
1538C2×C4C22×C22⋊D1311yescharacteristic
1539C2×C4C22×C22⋊D1311yescharacteristic
1540C2×C4C24×D1311yescharacteristic
1541C8—134no—
1542C8—262no—
1543C8—262no—
1544C8—262no—
1545C22—21no—
1546C22—21no—
1547C22—21no—
1548C22—21no—
1549C22—21no—
1550C22—21no—
1551C22—21no—
1552C22—22no—
1553C22—21no—
1554C22—21no—
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—21no—
1559C22—44no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—82no—
1569C22—84no—
1570C22—84no—
1571C22—264no—
1572C22—528no—
1573C22—522no—
1574C22—522no—
1575C22—522no—
1576C22—522no—
1577C22—522no—
1578C22—1048no—
1579C22—1044no—
1580C22—1048no—
1581C22D4×C22⋊D1312yes—
1582C22#1171952712yescomplemented
1583C22C23×C22⋊D1311yescharacteristic
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—22no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—522no—
1598C4—522no—
1599C4D4×C22⋊D1312yes—
1600C4C22×D4×D1311yescharacteristic
1601C4C2×#8825111yescharacteristic
1602C2—22no—
1603C2—22no—
1604C2—41no—
1605C2—41no—
1606C2—41no—
1607C2—42no—
1608C2—81no—
1609C2—81no—
1610C2—524no—
1611C2—1042no—
1612C2C2×D4×C22⋊D1311yescharacteristic
1613C2C2×#1171952711yescharacteristic
1614C2#1312961511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingD4×C13×#41C2
socleC22×C13C23×D4
hypercenterD4×#41D13
hypocenterC13#61066
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. C2×#11719527C2semidirect
2. C22×#88203C2semidirect
3. C2×#11719255C2semidirect
4. #13126544C2semidirect
5. #13126517C2semidirect
6. #13126468C2semidirect
7. #13126443C2semidirect
8. #13126377C2semidirect
9. #13126362C2semidirect
10. #13126347C2semidirect
11. #13126312C2semidirect
12. #13125304C2semidirect
13. #13124468C2semidirect
14. #13124457C2semidirect
15. #13124330C2semidirect
16. #13124296C2semidirect
17. #13124096C2semidirect
18. #13124088C2semidirect
19. #13124076C2semidirect
20. #13124062C2semidirect
21. C4×#88203C2semidirect
22. D4×#6099C2semidirect
23. D4×C13×#41C2semidirect
25. C22×C13×#41C22semidirect
26. C22×#6127C22semidirect
27. C23×D52C22semidirect
28. C13×#550C22semidirect
29. D4×Q8×C13C22semidirect
30. C13×#548C22semidirect
31. C13×#548C22semidirect
33. C13×#547C22semidirect
36. C13×#546C22semidirect
37. C13×#546C22semidirect
39. D42×C13C22semidirect
41. C13×#532C22semidirect
45. C13×#525C22semidirect
46. C4×C13×#41C22semidirect
49. C2×#88205C22semidirect
50. C2×#88205C22semidirect
51. C2×#88205C22semidirect
53. C2×#88204C22semidirect
54. C2×#88204C22semidirect
58. C2×#88203C22semidirect
59. C2×#88203C22semidirect
60. C2×#88203C22semidirect
61. C2×#88203C22semidirect
62. C2×#88203C22semidirect
63. C2×#88203C22semidirect
64. C2×#88196C22semidirect
65. C22×#6106C22semidirect
67. C2×#88186C22semidirect
68. C22×#6104C22semidirect
69. C2×#88184C22semidirect
70. C2×#88178C22semidirect
71. C22×#6099C22semidirect
72. C22×#6099C22semidirect
78. #11719255C22semidirect
79. #11719255C22semidirect
80. #11719255C22semidirect
84. C2×#88129C22semidirect
85. C2×C4×D52C22semidirect
86. #11718900C22semidirect
87. #11718900C22semidirect
88. #11718899C22semidirect
89. #11718899C22semidirect
90. #11718893C22semidirect
91. #11718893C22semidirect
92. #11718893C22semidirect
93. #11718889C22semidirect
94. #11718888C22semidirect
95. #11718879C22semidirect
96. #11718878C22semidirect
97. #11718868C22semidirect
98. #11718868C22semidirect
99. #11718747C22semidirect
100. #11718744C22semidirect
101. #11718735C22semidirect
102. #11718733C22semidirect
103. #11718720C22semidirect
104. #11718720C22semidirect
105. #11718718C22semidirect
106. #11718718C22semidirect
107. #11718713C22semidirect
108. #11718712C22semidirect
109. #11718710C22semidirect
110. #11718709C22semidirect
111. #11718708C22semidirect
112. #11718708C22semidirect
113. #11718707C22semidirect
114. #11718707C22semidirect
115. #11718703C22semidirect
116. #11718702C22semidirect
117. #11718700C22semidirect
118. #11718699C22semidirect
119. #11718698C22semidirect
120. #11718698C22semidirect
121. #11718697C22semidirect
122. #11718697C22semidirect
123. #11718689C22semidirect
124. #11718689C22semidirect
125. #11718687C22semidirect
126. C4×#6106C22semidirect
127. #11718677C22semidirect
128. #11718677C22semidirect
129. #11718675C22semidirect
130. C4×#6104C22semidirect
131. #11718673C22semidirect
132. #11718672C22semidirect
133. #11718672C22semidirect
134. D4×#1055C22semidirect
135. #11718665C22semidirect
136. #11718662C22semidirect
137. #11718662C22semidirect
138. #11718656C22semidirect
139. #11718585C22semidirect
140. C4×#6099C22semidirect
155. C2×C13×#41C23semidirect
156. C2×C13×#41C23semidirect
158. C22×Q8×C13C23semidirect
164. C22×D4×C13C23semidirect
190. C13×C4⋊Q8C23semidirect
192. C13×#127C23semidirect
195. C13×#124C23semidirect
196. C13×#124C23semidirect
209. C13×C22⋊Q8C23semidirect
210. C13×C22⋊Q8C23semidirect
223. C13×#121C23semidirect
224. C13×#121C23semidirect
231. C4×Q8×C13C23semidirect
232. C4×Q8×C13C23semidirect
253. C4×D4×C13C23semidirect
254. C4×D4×C13C23semidirect
278. #88203D4semidirect
279. C2×#6107C23semidirect
280. C2×#6107C23semidirect
281. C2×#6107C23semidirect
294. C2×#6105C23semidirect
295. C2×#6105C23semidirect
296. C2×#6105C23semidirect
326. C2×#6099C23semidirect
328. C22×#1055C23semidirect
349. #88075C23semidirect
350. #88075C23semidirect
351. #88075C23semidirect
352. #88072C23semidirect
353. #88072C23semidirect
354. #88072C23semidirect
357. C22⋊#1055C23semidirect
358. C22⋊#1055C23semidirect
359. #88050C23semidirect
360. #88050C23semidirect
365. #88048C23semidirect
366. #88047C23semidirect
367. C4⋊#1055C23semidirect
368. C4⋊#1055C23semidirect
369. #88043C23semidirect
370. C4×#1055C23semidirect
498. C2×D52C2×D4semidirect
565. #6106C2×D4semidirect
574. #6104C2×D4semidirect
592. #6099C2×D4semidirect
601. D4×#41D13semidirect
763. C22×#41C2×D13semidirect
786. #550C2×D13semidirect
787. D4×Q8C2×D13semidirect
788. #548C2×D13semidirect
789. #548C2×D13semidirect
791. #547C2×D13semidirect
802. #546C2×D13semidirect
803. #546C2×D13semidirect
805. D42C2×D13semidirect
807. #532C2×D13semidirect
812. #525C2×D13semidirect
818. C4×#41C2×D13semidirect
905. C22×C13#575semidirect
955. C2×#41C22×D13semidirect
956. C2×#41C22×D13semidirect
959. C22×Q8C22×D13semidirect
976. C22×D4C22×D13semidirect
1029. C4⋊Q8C22×D13semidirect
1031. #127C22×D13semidirect
1038. #124C22×D13semidirect
1039. #124C22×D13semidirect
1060. C22⋊Q8C22×D13semidirect
1061. C22⋊Q8C22×D13semidirect
1082. #121C22×D13semidirect
1083. #121C22×D13semidirect
1094. C4×Q8C22×D13semidirect
1095. C4×Q8C22×D13semidirect
1120. C4×D4C22×D13semidirect
1121. C4×D4C22×D13semidirect
1405. C13#61066semidirect
1582. C22#11719527semidirect

Maximal subgroups

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

subgroupindex
C2×#117195272
C22×#882032
C2×#117192552
#131265442
#131265172
#131264682
#131264432
#131263772
#131263622
#131263472
#131263122
#131253042
#131244682
#131244572
#131243302
#131242962
#131240962
#131240882
#131240762
#131240622
C4×#882032
D4×#60992
D4×C13×#412
#6106613