Finite Group Databasebeta

← #16747751

Subgroups — #16747751

Order 3328.

2234 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719255C211yesmaximal, characteristic
2#13126911C218yesmaximal, complemented
3#13126347C218yesmaximal, complemented
4#13125835C212yesmaximal, complemented
5#13125638C212yesmaximal, complemented
6#13125608C212yesmaximal, complemented
7#13124931C212yesmaximal, complemented
8#13124094C212yesmaximal, complemented
9C2×#11718707C212yesmaximal, complemented
10#13123865C211yesmaximal, characteristic, complemented
11C13×#3501C211yesmaximal, characteristic, complemented
12C22×#6127C2211yescharacteristic
13C23×D52C2211yescharacteristic
14C13×#554—24no—
15C13×#554C2214yescomplemented
16D4×Q8×C13C2214yescomplemented
17C13×#544—21no—
18C13×#543—21no—
19C13×#543—21no—
20C13×#533C2212yescomplemented
21C2×C13×C22⋊Q8C2212yes—
22C2×C13×C22⋊Q8C2212yescomplemented
23C13×#518—21no—
24C2×C4×D4×C13C2211yescharacteristic
25C2×#88196C2214yescomplemented
26C22×#6106C2214yescomplemented
27C2×#88191—21no—
28C2×#88184C2211yescharacteristic
29C2×#88178C2211yescharacteristic
30#11719255—24no—
31#11719255C2218yes—
32C2×#88148—21no—
33C2×#88138—21no—
34C2×C22⋊C4×D13—21no—
35C2×#88129C2211yescharacteristic
36C2×C4×D52C2211yescharacteristic
37#11718889C2214yescomplemented
38#11718888C2214yescomplemented
39#11718868C2212yescomplemented
40C2×C22⋊#1055C2212yes—
41#11718750C2214yescomplemented
42#11718748C2214yescomplemented
43#11718747C2214yescomplemented
44#11718744C2214yescomplemented
45#11718712C2218yescomplemented
46#11718711C2214yescomplemented
47#11718710C2218yescomplemented
48#11718708C2218yescomplemented
49#11718707C2214yes—
50#11718707C2214yes—
51#11718707C2218yescomplemented
52#11718705C2214yescomplemented
53#11718689C2218yescomplemented
54#11718687C2218yescomplemented
55#11718672C2218yescomplemented
56#11718631C2214yescomplemented
57#11718628C2214yescomplemented
58#11718627C2214yescomplemented
59C2×#88049C2214yescomplemented
60#11718587C2212yescomplemented
61C24×D13—21no—
62C22×Q8×C13C2312yes—
63C22×Q8×C13C2312yescomplemented
64C22×D4×C13D411yescharacteristic
65C23×C4×C13C2311yescharacteristic
66C23×C4×C13C2311yescharacteristic
67C22×C22⋊D13—21no—
68C22×C22⋊D13—21no—
69C2×#6127—22no—
70C2×#6127—44no—
71C2×#6127C2314yes—
72C22×D52—21no—
73C22×D52—22no—
74C22×D52—44no—
75C22×D52C2311yescharacteristic
76C22×D52C2314yes—
77C22×D52C2311yescharacteristic
78C22×C4×D13—21no—
79C22×C4×D13—21no—
80C22×Dic26C2311yescharacteristic
81C13×C4⋊Q8—24no—
82C13×C4⋊Q8C2312yescomplemented
83C13×C4⋊Q8C2312yescomplemented
84C13×#125—24no—
85C13×#125—22no—
86C13×C22⋊Q8—22no—
87C13×C22⋊Q8—22no—
88C13×C22⋊Q8—22no—
89C13×C22⋊Q8—22no—
90C13×C22⋊Q8—22no—
91C13×C22⋊Q8—24no—
92C13×C22⋊Q8—24no—
93C13×C22⋊Q8—24no—
94C13×C22⋊Q8—24no—
95C13×C22⋊Q8C2314yes—
96C13×C22⋊Q8C2314yes—
97C13×C22⋊Q8C2314yescomplemented
98C4×Q8×C13—22no—
99C4×Q8×C13C2314yescomplemented
100C4×D4×C13—24no—
101C4×D4×C13—24no—
102C4×D4×C13D414yes—
103C4×D4×C13C2314yes—
104C13×#117—22no—
105C2×C13×C4⋊C4—22no—
106C2×C13×C4⋊C4—22no—
107C2×C13×C4⋊C4D411yescharacteristic
108C2×C13×C4⋊C4C2312yes—
109C2×C13×C4⋊C4C2312yescomplemented
110C2×C13×C22⋊C4—22no—
111C2×C13×C22⋊C4—22no—
112C2×C13×C22⋊C4D411yescharacteristic
113C2×C13×C22⋊C4D411yescharacteristic
114C2×C42×C13C2311yescharacteristic
115C2×C22⋊Dic13—21no—
116C2×#6107C2318yescomplemented
117#88196—48no—
118C2×#6106—48no—
119C2×#6106C2318yes—
120C2×#6106C2318yes—
121#88191—28no—
122#88184—22no—
123#88184C2314yes—
124C2×#6103—21no—
125C2×#6103—21no—
126C2×#6103—21no—
127C2×#6103—21no—
128C2×C4⋊Dic13C2311yescharacteristic
129#88178—22no—
130#88178C2314yes—
131C2×#6101—21no—
132C2×#6099C2314yescomplemented
133C22×#1055C2314yes—
134#88148—28no—
135#88138—28no—
136C22⋊C4×D13—28no—
137#88129—22no—
138#88129C2314yes—
139C4×D52—22no—
140C4×D52C2314yes—
141#88075C2318yescomplemented
142C22⋊#1055C2314yes—
143C22⋊#1055C2314yes—
144C22⋊#1055C2314yescomplemented
145#88050C2318yescomplemented
146#88049C2318yes—
147#88049C2318yes—
148#88047C2318yescomplemented
149C4⋊#1055C2314yescomplemented
150#88043C2314yescomplemented
151#61570—131nomaximal, Sylow
152C24×C13C2×D411yescharacteristic
153C24×C13C2×D411yescharacteristic
154C23×D13—21no—
155C23×D13—21no—
156C23×D13—24no—
157C23×D13—44no—
158C23×D13—44no—
159C23×D13—82no—
160C2×Q8×C13—22no—
161C2×Q8×C13—22no—
162C2×Q8×C13—22no—
163C2×Q8×C13—44no—
164C2×Q8×C13—44no—
165C2×Q8×C13C2414yes—
166C2×D4×C13—24no—
167C2×D4×C13C2×D414yes—
168C22×C4×C13—22no—
169C22×C4×C13—22no—
170C22×C4×C13—22no—
171C22×C4×C13—22no—
172C22×C4×C13—42no—
173C22×C4×C13—42no—
174C22×C4×C13C2×D411yescharacteristic
175C22×C4×C13C2×D411yescharacteristic
176C22×C4×C13C2×D412yes—
177C22×C4×C13C2×D411yescharacteristic
178C22×C4×C13C2×D411yescharacteristic
179C22×C4×C13C2×D412yes—
180C22×C4×C13C2411yescharacteristic
181C22×C4×C13C2412yes—
182C22×C4×C13C2412yes—
183C2×C22⋊D13—24no—
184C2×C22⋊D13—24no—
185C2×C22⋊D13—44no—
186C2×C22⋊D13—82no—
187C22×Dic13—21no—
188C22×Dic13—21no—
189#6127—28no—
190#6127—44no—
191#6127—48no—
192C2×D52—21no—
193C2×D52—24no—
194C2×D52—28no—
195C2×D52—21no—
196C2×D52—24no—
197C2×D52—44no—
198C2×D52—42no—
199C2×D52—48no—
200C2×D52—44no—
201C2×D52C2412yes—
202C2×D52C2412yes—
203C2×C4×D13—24no—
204C2×C4×D13—24no—
205C2×C4×D13—44no—
206C2×C4×D13—82no—
207C2×Dic26—21no—
208C2×Dic26—42no—
209C2×Dic26C2412yes—
210C13×C4⋊C4—24no—
211C13×C4⋊C4—24no—
212C13×C4⋊C4—24no—
213C13×C4⋊C4—22no—
214C13×C4⋊C4—22no—
215C13×C4⋊C4—22no—
216C13×C4⋊C4—22no—
217C13×C4⋊C4—22no—
218C13×C4⋊C4—24no—
219C13×C4⋊C4C2×D414yes—
220C13×C4⋊C4C2414yes—
221C13×C22⋊C4—24no—
222C13×C22⋊C4—24no—
223C13×C22⋊C4—24no—
224C13×C22⋊C4C2×D414yes—
225C13×C22⋊C4C2×D414yes—
226C42×C13—24no—
227C42×C13C2×D412yes—
228C42×C13C2412yes—
229C22⋊Dic13—24no—
230#6107—48no—
231#6106—216no—
232#6106—48no—
233#6103—24no—
234#6103—24no—
235#6103—24no—
236#6103—24no—
237C4⋊Dic13—21no—
238C4⋊Dic13C2412yes—
239#6101—24no—
240#6099—44no—
241C2×#1055—44no—
242C2×#1055C2418yes—
243#3501D1311yescharacteristic, complemented
244C2×#546—131no—
245#3314—138no—
246#3266—138no—
247#3215—132no—
248#3193—132no—
249#3189—132no—
250#3110—132no—
251#3007—132no—
252C2×#450—132no—
253#2973—131no—
254C23×C13—22no—
255C23×C13—41no—
256C23×C13—41no—
257C23×C13—41no—
258C23×C13—41no—
259C23×C13#13714yescomplemented
260C23×C13C22×D412yes—
261C23×C13C22×D412yes—
262C23×C13C22×D411yescharacteristic
263C22×D13—24no—
264C22×D13—22no—
265C22×D13—22no—
266C22×D13—48no—
267C22×D13—42no—
268C22×D13—42no—
269C22×D13—42no—
270C22×D13—42no—
271C22×D13—48no—
272C22×D13—42no—
273C22×D13—84no—
274C22×D13—816no—
275Q8×C13—28no—
276Q8×C13—82no—
277Q8×C13—82no—
278Q8×C13—82no—
279D4×C13—28no—
280C2×C4×C13—22no—
281C2×C4×C13—24no—
282C2×C4×C13—24no—
283C2×C4×C13—22no—
284C2×C4×C13—24no—
285C2×C4×C13—24no—
286C2×C4×C13—41no—
287C2×C4×C13—41no—
288C2×C4×C13—42no—
289C2×C4×C13—41no—
290C2×C4×C13—42no—
291C2×C4×C13—82no—
292C2×C4×C13—82no—
293C2×C4×C13—82no—
294C2×C4×C13—82no—
295C2×C4×C13C22×D412yes—
296C2×C4×C13C22×D411yescharacteristic
297C2×C4×C13C22×D412yes—
298C2×C4×C13C22×D412yes—
299C2×C4×C13C22×D412yes—
300C2×C4×C13C2511yescharacteristic
301C22⋊D13—48no—
302C22⋊D13—84no—
303C2×Dic13—22no—
304C2×Dic13—22no—
305C2×Dic13—42no—
306C2×Dic13—42no—
307D52—24no—
308D52—22no—
309D52—24no—
310D52—48no—
311D52—42no—
312D52H(5,𝔽2)14yes—
313C4×D13—48no—
314C4×D13—84no—
315Dic26—24no—
316Dic26—42no—
317#1055—28no—
318C22×#41—131no—
319C23×D4—131no—
320C2×#137—134no—
321C22×SD16—134no—
322#554—24no—
323#554C2×D1314yescomplemented
324D4×Q8C2×D1314yescomplemented
325#546—138no—
326#546—264no—
327#544—21no—
328#543—21no—
329#543—21no—
330#533C2×D1312yescomplemented
331C2×#124—131no—
332C2×#123—261no—
333C2×C22⋊Q8—131no—
334C2×C22⋊Q8C2×D1312yes—
335C2×C22⋊Q8C2×D1312yescomplemented
336C2×#121—131no—
337C2×#121—261no—
338C2×#120—261no—
339#518—21no—
340C2×C4×D4—131no—
341C2×C4×D4C2×D1311yescharacteristic
342C22×C22⋊C4—261no—
343#497—134no—
344#489—134no—
345#484—134no—
346#484—134no—
347#480—134no—
348#474—134no—
349#468—138no—
350#467—138no—
351#464—138no—
352#461—134no—
353#452—138no—
354#451—134no—
355#451—134no—
356#450—134no—
357#450—134no—
358#450—138no—
359#448—134no—
360#440—138no—
361#435—138no—
362#432—132no—
363#417—134no—
364C2×#102—134no—
365#407—132no—
366C2×C22⋊C8—132no—
367C22×C13—21no—
368C22×C13—22no—
369C22×C13—21no—
370C22×C13—22no—
371C22×C13—22no—
372C22×C13—22no—
373C22×C13—22no—
374C22×C13—44no—
375C22×C13—82no—
376C22×C13C2×#13712yes—
377C22×C13C2×#13714yes—
378C22×C13C23×D411yescharacteristic
379C2×D13—24no—
380C2×D13—48no—
381C2×D13—42no—
382C2×D13—42no—
383C2×D13—42no—
384C2×D13—42no—
385C2×D13—42no—
386C2×D13—816no—
387C2×D13—84no—
388C4×C13—22no—
389C4×C13—21no—
390C4×C13—22no—
391C4×C13—22no—
392C4×C13—22no—
393C4×C13—44no—
394C4×C13—44no—
395C4×C13C2×H(5,𝔽2)12yes—
396Dic13—42no—
397Dic13—42no—
398C25—261no—
399C2×#41—134no—
400C2×#41—262no—
401C2×#41—524no—
402C22×Q8—131no—
403C22×Q8C22×D1312yes—
404C22×Q8C22×D1312yescomplemented
405C22×D4—131no—
406C22×D4—134no—
407C22×D4—131no—
408C22×D4—261no—
409C22×D4—261no—
410C22×D4—261no—
411C22×D4—262no—
412C22×D4—524no—
413C22×D4C22⋊D1311yescharacteristic
414C23×C4—261no—
415C23×C4—261no—
416C23×C4C22×D1311yescharacteristic
417C23×C4C22×D1311yescharacteristic
418#137—528no—
419C2×Q16—138no—
420C2×SD16—138no—
421C2×SD16—138no—
422C2×SD16—528no—
423C2×M16—134no—
424C22×C8—134no—
425C4⋊Q8—24no—
426C4⋊Q8C22×D1312yescomplemented
427C4⋊Q8C22×D1312yescomplemented
428#125—24no—
429#125—22no—
430#124—134no—
431#124—262no—
432#123—268no—
433C22⋊Q8—22no—
434C22⋊Q8—22no—
435C22⋊Q8—22no—
436C22⋊Q8—22no—
437C22⋊Q8—22no—
438C22⋊Q8—24no—
439C22⋊Q8—24no—
440C22⋊Q8—24no—
441C22⋊Q8—24no—
442C22⋊Q8—134no—
443C22⋊Q8—262no—
444C22⋊Q8C22×D1314yes—
445C22⋊Q8C22×D1314yes—
446C22⋊Q8C22×D1314yescomplemented
447#121—134no—
448#121—262no—
449#121—268no—
450#120—268no—
451C4×Q8—22no—
452C4×Q8C22×D1314yescomplemented
453C4×D4—24no—
454C4×D4—24no—
455C4×D4—134no—
456C4×D4—262no—
457C4×D4C22⋊D1314yes—
458C4×D4C22×D1314yes—
459#117—22no—
460C2×C4⋊C4—22no—
461C2×C4⋊C4—22no—
462C2×C4⋊C4—131no—
463C2×C4⋊C4—261no—
464C2×C4⋊C4C22⋊D1311yescharacteristic
465C2×C4⋊C4C22×D1312yes—
466C2×C4⋊C4C22×D1312yescomplemented
467C2×C22⋊C4—22no—
468C2×C22⋊C4—22no—
469C2×C22⋊C4—261no—
470C2×C22⋊C4—261no—
471C2×C22⋊C4—261no—
472C2×C22⋊C4—261no—
473C2×C22⋊C4—261no—
474C2×C22⋊C4—268no—
475C2×C22⋊C4C22⋊D1311yescharacteristic
476C2×C22⋊C4C22⋊D1311yescharacteristic
477C2×C42C22×D1311yescharacteristic
478#107—138no—
479C4⋊C8—134no—
480#103—138no—
481#103—138no—
482#102—138no—
483#102—138no—
484C22⋊C8—134no—
485C22⋊C8—134no—
486C22⋊C8—134no—
487#97—134no—
488C2×C13—22no—
489C2×C13—24no—
490C2×C13—42no—
491C2×C13#348411yescharacteristic
492C2×C13C22×#13711yescharacteristic
493C2×C13#358511yescharacteristic
494D13—44no—
495D13—82no—
496C24—261no—
497C24—261no—
498C24—264no—
499C24—524no—
500C24—524no—
501C24—1042no—
502C24C2×C22⋊D1311yescharacteristic
503C24C2×C22⋊D1311yescharacteristic
504#41—268no—
505#41—524no—
506#41—528no—
507C2×Q8—22no—
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8—44no—
511C2×Q8—44no—
512C2×Q8—132no—
513C2×Q8—261no—
514C2×Q8—522no—
515C2×Q8C23×D1314yes—
516C2×D4—24no—
517C2×D4—132no—
518C2×D4—132no—
519C2×D4—264no—
520C2×D4—268no—
521C2×D4—264no—
522C2×D4—264no—
523C2×D4—261no—
524C2×D4—264no—
525C2×D4—261no—
526C2×D4—524no—
527C2×D4—522no—
528C2×D4—528no—
529C2×D4—524no—
530C2×D4—524no—
531C2×D4—1042no—
532C2×D4C2×C22⋊D1314yes—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—261no—
540C22×C4—261no—
541C22×C4—264no—
542C22×C4—264no—
543C22×C4—524no—
544C22×C4—1042no—
545C22×C4C2×C22⋊D1311yescharacteristic
546C22×C4C2×C22⋊D1311yescharacteristic
547C22×C4C2×C22⋊D1311yescharacteristic
548C22×C4C2×C22⋊D1311yescharacteristic
549C22×C4C2×C22⋊D1312yes—
550C22×C4C2×C22⋊D1312yes—
551C22×C4C23×D1311yescharacteristic
552C22×C4C23×D1312yes—
553C22×C4C23×D1312yes—
554Q16—528no—
555SD16—2616no—
556SD16—528no—
557M16—524no—
558C2×C8—138no—
559C2×C8—524no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—24no—
569C4⋊C4—132no—
570C4⋊C4—261no—
571C4⋊C4—264no—
572C4⋊C4C2×C22⋊D1314yes—
573C4⋊C4C23×D1314yes—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—264no—
578C22⋊C4—264no—
579C22⋊C4—264no—
580C22⋊C4—264no—
581C22⋊C4—264no—
582C22⋊C4C2×C22⋊D1314yes—
583C22⋊C4C2×C22⋊D1314yes—
584C42—24no—
585C42C2×C22⋊D1312yes—
586C42C23×D1312yes—
587C13#6157011yescharacteristic, complemented, Sylow
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—264no—
594C23—262no—
595C23—262no—
596C23—528no—
597C23—522no—
598C23—522no—
599C23—522no—
600C23—522no—
601C23—528no—
602C23—522no—
603C23—1044no—
604C23—10416no—
605C23#8819614yescomplemented
606C23C22×C22⋊D1312yes—
607C23C22×C22⋊D1311yescharacteristic
608C23C22×C22⋊D1312yes—
609Q8—28no—
610Q8—82no—
611Q8—82no—
612Q8—82no—
613Q8—264no—
614Q8—522no—
615D4—28no—
616D4—134no—
617D4—264no—
618D4—262no—
619D4—264no—
620D4—528no—
621D4—522no—
622D4—528no—
623D4—1044no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—82no—
638C2×C4—82no—
639C2×C4—262no—
640C2×C4—262no—
641C2×C4—528no—
642C2×C4—522no—
643C2×C4—522no—
644C2×C4—1044no—
645C2×C4C22×C22⋊D1312yes—
646C2×C4C22×C22⋊D1311yescharacteristic
647C2×C4C22×C22⋊D1312yes—
648C2×C4C22×C22⋊D1312yes—
649C2×C4C22×C22⋊D1312yes—
650C2×C4C24×D1311yescharacteristic
651C8—268no—
652C22—21no—
653C22—22no—
654C22—21no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—44no—
660C22—82no—
661C22—264no—
662C22—528no—
663C22—522no—
664C22—522no—
665C22—522no—
666C22—522no—
667C22—522no—
668C22—10416no—
669C22—1044no—
670C22C2×#8819612yes—
671C22C2×#8819614yes—
672C22C23×C22⋊D1311yescharacteristic
673C4—21no—
674C4—22no—
675C4—22no—
676C4—22no—
677C4—22no—
678C4—44no—
679C4—44no—
680C4—522no—
681C4—522no—
682C4D13×H(5,𝔽2)12yes—
683C2—22no—
684C2—24no—
685C2—42no—
686C2—524no—
687C2—1042no—
688C2#1312846711yescharacteristic
689C2C22×#8819611yescharacteristic
690C2#1312961511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3501C2
socleC22×C13C23×D4
prime radicalC2×#11719255C2
hypercenter#3501D13
hypocenterC13#61570
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3501

Complements

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

NH ≅ G/Ntype
2. #13126911C2semidirect
3. #13126347C2semidirect
4. #13125835C2semidirect
5. #13125638C2semidirect
6. #13125608C2semidirect
7. #13124931C2semidirect
8. #13124094C2semidirect
9. C2×#11718707C2semidirect
10. #13123865C2semidirect
11. C13×#3501C2semidirect
15. C13×#554C22semidirect
16. D4×Q8×C13C22semidirect
20. C13×#533C22semidirect
22. C2×C13×C22⋊Q8C22semidirect
25. C2×#88196C22semidirect
26. C22×#6106C22semidirect
37. #11718889C22semidirect
38. #11718888C22semidirect
39. #11718868C22semidirect
41. #11718750C22semidirect
42. #11718748C22semidirect
43. #11718747C22semidirect
44. #11718744C22semidirect
45. #11718712C22semidirect
46. #11718711C22semidirect
47. #11718710C22semidirect
48. #11718708C22semidirect
51. #11718707C22semidirect
52. #11718705C22semidirect
53. #11718689C22semidirect
54. #11718687C22semidirect
55. #11718672C22semidirect
56. #11718631C22semidirect
57. #11718628C22semidirect
58. #11718627C22semidirect
59. C2×#88049C22semidirect
60. #11718587C22semidirect
63. C22×Q8×C13C23semidirect
82. C13×C4⋊Q8C23semidirect
83. C13×C4⋊Q8C23semidirect
97. C13×C22⋊Q8C23semidirect
99. C4×Q8×C13C23semidirect
109. C2×C13×C4⋊C4C23semidirect
116. C2×#6107C23semidirect
132. C2×#6099C23semidirect
141. #88075C23semidirect
144. C22⋊#1055C23semidirect
145. #88050C23semidirect
148. #88047C23semidirect
149. C4⋊#1055C23semidirect
150. #88043C23semidirect
243. #3501D13semidirect
259. C23×C13#137semidirect
323. #554C2×D13semidirect
324. D4×Q8C2×D13semidirect
330. #533C2×D13semidirect
335. C2×C22⋊Q8C2×D13semidirect
404. C22×Q8C22×D13semidirect
426. C4⋊Q8C22×D13semidirect
427. C4⋊Q8C22×D13semidirect
446. C22⋊Q8C22×D13semidirect
452. C4×Q8C22×D13semidirect
466. C2×C4⋊C4C22×D13semidirect
587. C13#61570semidirect
605. C23#88196semidirect

Maximal subgroups

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

subgroupindex
C2×#117192552
#131269112
#131263472
#131258352
#131256382
#131256082
#131249312
#131240942
C2×#117187072
#131238652
C13×#35012
#6157013