Finite Group Databasebeta

← #16808073

Subgroups — #16808073

Order 3328.

4892 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13131816C212yesmaximal, complemented
2#13131438C212yesmaximal, complemented
3#13131437C212yesmaximal, complemented
4#13131436C216yesmaximal, complemented
5#13131435C216yesmaximal, complemented
6D13⋊#410C216yesmaximal, complemented
7C2×#11719116C216yesmaximal, complemented
8C2×#11719648C211yesmaximal, characteristic
9C22×C13×#41C411yescharacteristic, complemented
10#11719648—28no—
11#11719648—28no—
12C2×#88257C413yescomplemented
13C2×#88257C2211yescharacteristic
14C2×#88256C411yescharacteristic, complemented
15C2×#88256C2213yes—
16C2×#41×D13C413yescomplemented
17C2×#41×D13C411yescharacteristic, complemented
18C2×#41×D13C2213yes—
19C2×#41×D13C2211yescharacteristic
20C2×#88254C411yescharacteristic, complemented
21C2×#88254C2211yescharacteristic
22C2×#88251C413yescomplemented
23C2×#88251C2213yes—
24C22×#6127C413yescomplemented
25C22×#6127C2213yes—
26#11719631—28no—
27#41×#261—28no—
28#11719627C2214yescomplemented
29#11719623C22112yescomplemented
30C2×#88237C22112yescomplemented
31C2×#88119C22112yescomplemented
32#11719156C22112yescomplemented
33#11719142C22112yescomplemented
34D13⋊#99C22124yescomplemented
35#11719116C2214yescomplemented
36#11719116C22112yescomplemented
37#11719116C22112yescomplemented
38#11719116C22112yescomplemented
39C2×#88107C22112yescomplemented
40C2×C13×#41—24no—
41C2×C13×#41—24no—
42C2×C13×#41C2×C411yescharacteristic
43C2×C13×#41C2×C413yescomplemented
44C2×C13×#41C2×C411yescharacteristic, complemented
45C2×C13×#41C2×C413yescomplemented
46C22×Q8×C13C2×C411yescharacteristic, complemented
47C22×D4×C13C2×C413yescomplemented
48C23×C4×C13C2×C413yescomplemented
49C22×C22⋊D13C2×C416yescomplemented
50C22×C22⋊D13C2×C413yescomplemented
51C22×C22⋊D13C2313yes—
52#88257—28no—
53#88257—224no—
54#88256—28no—
55#88256—224no—
56#41×D13—24no—
57#41×D13—24no—
58#41×D13—212no—
59#41×D13—212no—
60#41×D13—212no—
61#41×D13—212no—
62#41×D13D418yes—
63#41×D13D418yes—
64#88254—28no—
65#88254—28no—
66C2×#6131C2×C411yescharacteristic
67C2×#6131C2×C413yescomplemented
68C2×#6131C2×C411yescharacteristic, complemented
69C2×#6131C2313yes—
70C2×Q8×D13C2×C411yescharacteristic, complemented
71C2×Q8×D13C2×C413yescomplemented
72C2×Q8×D13C2×C413yescomplemented
73C2×Q8×D13C2311yescharacteristic
74#88251—224no—
75#88251—224no—
76C2×#6129C2×C413yes—
77C2×#6129C2×C413yescomplemented
78C2×#6129C2×C416yescomplemented
79C2×#6129C2×C413yescomplemented
80C2×#6129C2×C416yescomplemented
81C2×#6129C2313yes—
82C2×D4×D13C2×C416yescomplemented
83C2×D4×D13C2×C413yescomplemented
84C2×D4×D13C2×C413yescomplemented
85C2×D4×D13C2×C413yescomplemented
86C2×D4×D13C2316yes—
87C2×D4×D13C2313yes—
88C2×#6127—212no—
89C2×#6127—212no—
90C2×#6127—212no—
91C2×#6127—212no—
92C2×#6127C2×C413yes—
93C2×#6127C2×C413yescomplemented
94C2×#6127C2×C413yescomplemented
95C2×#6127C2×C413yescomplemented
96C2×#6127C2×C413yescomplemented
97C2×#6127C2×C416yescomplemented
98C2×#6127C2×C413yescomplemented
99C2×#6127C2×C413yescomplemented
100C2×#6127C2×C413yescomplemented
101C2×#6127C2311yescharacteristic
102C2×#6127C2313yes—
103C2×#6127C2313yes—
104C2×#6127C2313yes—
105C22×D52C2×C413yescomplemented
106C22×D52C2313yes—
107C22×C4×D13C2×C416yescomplemented
108C22×C4×D13C2×C413yescomplemented
109C22×C4×D13C2313yes—
110C22×Dic26C2×C413yescomplemented
111C22×Dic26C2×C413yescomplemented
112C2×C22⋊#261C23124yes—
113Q8×#261—216no—
114D4×#261—248no—
115#88237—212no—
116#88237—212no—
117#88237C2318yes—
118#88237C23124yes—
119C2×C4⋊#261—212no—
120C2×C4×#261—212no—
121#88119C2318yes—
122#88119C23124yes—
123#88107C2318yes—
124#88107C23124yes—
125#60070—131nomaximal, Sylow
126C24×C13C22×C413yes—
127C23×D13C22×C416yes—
128C23×D13C22×C413yes—
129C23×D13C2413yes—
130C22×#261—224no—
131C13×#41—24no—
132C13×#41—212no—
133C13×#41—26no—
134C13×#41—26no—
135C13×#41C22⋊C414yes—
136C13×#41C22⋊C414yes—
137C2×Q8×C13—24no—
138C2×Q8×C13C22×C413yes—
139C2×Q8×C13C22×C411yescharacteristic
140C2×D4×C13—212no—
141C2×D4×C13C22×C413yes—
142C2×D4×C13C22×C416yes—
143C2×D4×C13C22×C413yes—
144C22×C4×C13—26no—
145C22×C4×C13—26no—
146C22×C4×C13C22×C413yes—
147C22×C4×C13C22×C413yes—
148C22×C4×C13C22×C413yes—
149C22×C4×C13C22×C411yescharacteristic
150C22×C4×C13C22×C413yes—
151C22×C4×C13C22×C413yes—
152C2×C22⋊D13—212no—
153C2×C22⋊D13—224no—
154C2×C22⋊D13—212no—
155C2×C22⋊D13C22×C413yes—
156C2×C22⋊D13C22×C413yes—
157C2×C22⋊D13C22×C411yescharacteristic
158C2×C22⋊D13C22×C413yes—
159C2×C22⋊D13C22×C416yes—
160C2×C22⋊D13C22×C413yes—
161C2×C22⋊D13C22×C413yes—
162C2×C22⋊D13C22×C416yes—
163C2×C22⋊D13C2411yescharacteristic
164C2×C22⋊D13C2413yes—
165C22×Dic13C22×C413yes—
166C22×Dic13C22×C416yes—
167C22×Dic13C22×C413yes—
168#6131—24no—
169#6131—212no—
170#6131—212no—
171#6131C22⋊C418yes—
172Q8×D13—24no—
173Q8×D13—212no—
174Q8×D13—212no—
175Q8×D13C2×D418yes—
176#6129—212no—
177#6129—224no—
178#6129—224no—
179#6129—212no—
180#6129—212no—
181#6129C22⋊C4124yes—
182D4×D13—224no—
183D4×D13—212no—
184D4×D13—224no—
185D4×D13—212no—
186D4×D13—212no—
187D4×D13C2×D4124yes—
188#6127—26no—
189#6127—26no—
190#6127—224no—
191#6127—212no—
192#6127—26no—
193#6127—26no—
194#6127—212no—
195#6127—26no—
196#6127—26no—
197#6127—212no—
198#6127—22no—
199#6127—22no—
200#6127—212no—
201#6127—26no—
202#6127—26no—
203#6127—212no—
204#6127—212no—
205#6127C22⋊C4112yes—
206#6127C22⋊C4112yes—
207C2×D52—212no—
208C2×D52—212no—
209C2×D52C22×C413yes—
210C2×D52C22×C413yes—
211C2×D52C22×C413yes—
212C2×D52C22×C413yes—
213C2×D52C2411yescharacteristic
214C2×D52C2413yes—
215C2×C4×D13—26no—
216C2×C4×D13—26no—
217C2×C4×D13—212no—
218C2×C4×D13—212no—
219C2×C4×D13C22×C413yes—
220C2×C4×D13C22×C411yescharacteristic
221C2×C4×D13C22×C416yes—
222C2×C4×D13C22×C416yes—
223C2×C4×D13C22×C413yes—
224C2×C4×D13C22×C413yes—
225C2×C4×D13C22×C413yes—
226C2×C4×D13C22×C413yes—
227C2×C4×D13C2×D4112yes—
228C2×C4×D13C2×D4112yes—
229C2×C4×D13C2411yescharacteristic
230C2×C4×D13C2413yes—
231C2×Dic26—212no—
232C2×Dic26—212no—
233C2×Dic26C22×C413yes—
234C2×Dic26C22×C411yescharacteristic
235C2×Dic26C22×C413yes—
236C2×Dic26C22×C413yes—
237C2×Dic26C22×C413yes—
238C2×Dic26C22×C413yes—
239C22⋊#261—224no—
240C22⋊#261C24116yes—
241C4⋊#261—28no—
242C4⋊#261—224no—
243C4×#261—28no—
244C4×#261—224no—
245C2×#585—131no—
246#3428—132no—
247#2884—132no—
248#2884—132no—
249#2883—136no—
250#2883—136no—
251C2×#410—136no—
252C2×#410—136no—
253C23×C13—26no—
254C23×C13—83no—
255C23×C13C23×C413yes—
256C23×C13C23×C411yescharacteristic
257C23×C13C23×C413yes—
258C22×D13—26no—
259C22×D13—212no—
260C22×D13—83no—
261C22×D13—86no—
262C22×D13—83no—
263C22×D13C23×C413yes—
264C22×D13C23×C411yescharacteristic
265C22×D13C23×C413yes—
266C22×D13C22×D4112yes—
267C22×D13C2511yescharacteristic
268C2×#261—216no—
269C2×#261—824no—
270Q8×C13—26no—
271Q8×C13C2×C22⋊C414yes—
272D4×C13—212no—
273D4×C13—26no—
274D4×C13C2×C22⋊C4112yes—
275C2×C4×C13—26no—
276C2×C4×C13—26no—
277C2×C4×C13—23no—
278C2×C4×C13—23no—
279C2×C4×C13—21no—
280C2×C4×C13—21no—
281C2×C4×C13—26no—
282C2×C4×C13C2×C22⋊C416yes—
283C2×C4×C13C2×C22⋊C416yes—
284C2×C4×C13C23×C411yescharacteristic
285C2×C4×C13C23×C413yes—
286C2×C4×C13C23×C413yes—
287C2×C4×C13C23×C411yescharacteristic
288C22⋊D13—212no—
289C22⋊D13—26no—
290C22⋊D13—26no—
291C22⋊D13—22no—
292C22⋊D13—26no—
293C22⋊D13—22no—
294C22⋊D13—26no—
295C22⋊D13—26no—
296C22⋊D13—26no—
297C22⋊D13C2×C22⋊C4124yes—
298C2×Dic13—26no—
299C2×Dic13—212no—
300C2×Dic13C2×C22⋊C4112yes—
301C2×Dic13C23×C413yes—
302C2×Dic13C23×C411yescharacteristic
303C2×Dic13C23×C411yescharacteristic
304C2×Dic13C23×C413yes—
305D52—26no—
306D52—26no—
307D52—22no—
308D52—26no—
309D52—26no—
310D52C2×C22⋊C4112yes—
311C4×D13—212no—
312C4×D13—21no—
313C4×D13—23no—
314C4×D13—21no—
315C4×D13—23no—
316C4×D13—26no—
317C4×D13—26no—
318C4×D13—212no—
319C4×D13C2×C22⋊C416yes—
320C4×D13C2×C22⋊C416yes—
321C4×D13C2×C22⋊C4112yes—
322C4×D13C22×D412yes—
323C4×D13C22×D4112yes—
324C4×D13C22×D412yes—
325Dic26—26no—
326Dic26—22no—
327Dic26—26no—
328Dic26—26no—
329Dic26—26no—
330Dic26C2×C22⋊C4112yes—
331#585—268no—
332#585—268no—
333C2×2−1+4—131no—
334C2×2−1+4—133no—
335C2×2−1+4—131no—
336C2×2−1+4—131no—
337C2×H(5,𝔽2)—133no—
338C2×H(5,𝔽2)—131no—
339C2×H(5,𝔽2)—133no—
340C2×H(5,𝔽2)—133no—
341C22×#41—131no—
342C22×#41—131no—
343C22×#41—133no—
344C22×#41—133no—
345C22×#41—133no—
346C22×#41—133no—
347C22×#41#26111yescharacteristic, complemented
348#520—268no—
349#519—134no—
350#518—1312no—
351C4×#41—268no—
352C2×#117—1312no—
353#410—134no—
354#410—1312no—
355#410—1312no—
356#410—1312no—
357#410—1312no—
358#410—1312no—
359C2×#99—1312no—
360C2×#99—1324no—
361C2×#99—1312no—
362C22×C13—23no—
363C22×C13—21no—
364C22×C13—43no—
365C22×C13—43no—
366C22×C13—41no—
367C22×C13—86no—
368C22×C13C22×C22⋊C416yes—
369C22×C13C24×C411yescharacteristic
370C2×D13—21no—
371C2×D13—23no—
372C2×D13—412no—
373C2×D13—43no—
374C2×D13—41no—
375C2×D13—43no—
376C2×D13—41no—
377C2×D13—812no—
378C2×D13—86no—
379C2×D13C22×C22⋊C416yes—
380C2×D13C23×D412yes—
381#261—416no—
382C4×C13—21no—
383C4×C13—23no—
384C4×C13C22×C22⋊C416yes—
385C4×C13C22×C22⋊C411yescharacteristic
386C4×C13C22×C22⋊C411yescharacteristic
387Dic13—23no—
388Dic13—21no—
389Dic13C22×C22⋊C412yes—
390Dic13C22×C22⋊C416yes—
3912−1+4—268no—
3922−1+4—268no—
3932−1+4—268no—
3942−1+4—2624no—
395H(5,𝔽2)—2624no—
396H(5,𝔽2)—2624no—
397H(5,𝔽2)—2624no—
398H(5,𝔽2)—268no—
399C2×#41—24no—
400C2×#41—24no—
401C2×#41—138no—
402C2×#41—138no—
403C2×#41—131no—
404C2×#41—133no—
405C2×#41—133no—
406C2×#41—131no—
407C2×#41—133no—
408C2×#41—133no—
409C2×#41—136no—
410C2×#41—136no—
411C2×#41—133no—
412C2×#41—133no—
413C2×#41—133no—
414C2×#41—133no—
415C2×#41—131no—
416C2×#41—133no—
417C2×#41—133no—
418C2×#41—133no—
419C2×#41—133no—
420C2×#41—133no—
421C2×#41—133no—
422C2×#41—133no—
423C2×#41—136no—
424C2×#41—133no—
425C2×#41—133no—
426C2×#41—2612no—
427C2×#41—2612no—
428C2×#41—2612no—
429C2×#41—2612no—
430C2×#41—2612no—
431C2×#41—2612no—
432C2×#41—2612no—
433C2×#41—2612no—
434C2×#41—264no—
435C2×#41—264no—
436C2×#41C2×#26111yescharacteristic
437C2×#41C2×#26113yescomplemented
438C2×#41C2×#26111yescharacteristic, complemented
439C2×#41C2×#26113yescomplemented
440C22×Q8—131no—
441C22×Q8—133no—
442C22×Q8—133no—
443C22×Q8—131no—
444C22×Q8—133no—
445C22×Q8—133no—
446C22×Q8C2×#26111yescharacteristic, complemented
447C22×D4—133no—
448C22×D4—133no—
449C22×D4—133no—
450C22×D4—136no—
451C22×D4—136no—
452C22×D4—133no—
453C22×D4—136no—
454C22×D4—133no—
455C22×D4—133no—
456C22×D4—133no—
457C22×D4—133no—
458C22×D4C2×#26113yescomplemented
459C23×C4—133no—
460C23×C4—136no—
461C23×C4—133no—
462C23×C4C2×#26113yescomplemented
463C4×Q8—2616no—
464C4×D4—2648no—
465#117—138no—
466#117—1324no—
467#117—2612no—
468#117—2612no—
469C2×C4⋊C4—2612no—
470C2×C22⋊C4—1324no—
471C2×C42—2612no—
472#99—138no—
473#99—1324no—
474#99—138no—
475#99—1324no—
476C2×C13—21no—
477C2×C13—26no—
478C2×C13—43no—
479C2×C13—41no—
480C2×C13C23×C22⋊C411yescharacteristic
481D13—22no—
482D13—26no—
483D13—43no—
484D13—41no—
485C24—133no—
486C24—136no—
487C24—133no—
488C24C22×#26113yes—
489#41—24no—
490#41—212no—
491#41—26no—
492#41—26no—
493#41—138no—
494#41—1324no—
495#41—1312no—
496#41—1312no—
497#41—262no—
498#41—266no—
499#41—266no—
500#41—266no—
501#41—262no—
502#41—266no—
503#41—266no—
504#41—266no—
505#41—2612no—
506#41—2612no—
507#41—2612no—
508#41—2612no—
509#41—2624no—
510#41—2612no—
511#41—2612no—
512#41—2624no—
513#41—2612no—
514#41—2612no—
515#41—2624no—
516#41—2612no—
517#41—2612no—
518#41—264no—
519#41—2612no—
520#41—266no—
521#41—266no—
522#41C22⋊#26114yes—
523#41C22⋊#26114yes—
524C2×Q8—24no—
525C2×Q8—138no—
526C2×Q8—133no—
527C2×Q8—133no—
528C2×Q8—133no—
529C2×Q8—131no—
530C2×Q8—133no—
531C2×Q8—133no—
532C2×Q8—2612no—
533C2×Q8—2612no—
534C2×Q8—2612no—
535C2×Q8—2612no—
536C2×Q8—264no—
537C2×Q8C22×#26113yes—
538C2×Q8C22×#26111yescharacteristic
539C2×D4—212no—
540C2×D4—136no—
541C2×D4—1324no—
542C2×D4—133no—
543C2×D4—131no—
544C2×D4—133no—
545C2×D4—133no—
546C2×D4—131no—
547C2×D4—133no—
548C2×D4—133no—
549C2×D4—133no—
550C2×D4—136no—
551C2×D4—133no—
552C2×D4—133no—
553C2×D4—131no—
554C2×D4—133no—
555C2×D4—133no—
556C2×D4—133no—
557C2×D4—2612no—
558C2×D4—2612no—
559C2×D4—2612no—
560C2×D4—2612no—
561C2×D4—2624no—
562C2×D4—2612no—
563C2×D4—2624no—
564C2×D4—2624no—
565C2×D4—2612no—
566C2×D4—2612no—
567C2×D4C22×#26116yes—
568C2×D4C22×#26113yes—
569C2×D4C22×#26113yes—
570C22×C4—26no—
571C22×C4—26no—
572C22×C4—133no—
573C22×C4—1312no—
574C22×C4—1312no—
575C22×C4—131no—
576C22×C4—133no—
577C22×C4—133no—
578C22×C4—133no—
579C22×C4—136no—
580C22×C4—133no—
581C22×C4—133no—
582C22×C4—131no—
583C22×C4—136no—
584C22×C4—136no—
585C22×C4—133no—
586C22×C4—133no—
587C22×C4—2612no—
588C22×C4—2612no—
589C22×C4—266no—
590C22×C4—266no—
591C22×C4—2624no—
592C22×C4C22×#26113yes—
593C22×C4C22×#26111yescharacteristic
594C22×C4C22×#26113yes—
595C22×C4C22×#26113yes—
596C22×C4C22×#26113yes—
597C22×C4C22×#26113yes—
598C4⋊C4—268no—
599C4⋊C4—2624no—
600C22⋊C4—1316no—
601C22⋊C4—2624no—
602C42—268no—
603C42—2624no—
604C13#6007011yescharacteristic, complemented, Sylow
605C23—26no—
606C23—83no—
607C23—1312no—
608C23—131no—
609C23—133no—
610C23—133no—
611C23—131no—
612C23—2612no—
613C23—266no—
614C23—1043no—
615C23—1043no—
616C23—1046no—
617C23C23×#26113yes—
618C23C23×#26111yescharacteristic
619C23C23×#26113yes—
620Q8—26no—
621Q8—1312no—
622Q8—262no—
623Q8—266no—
624Q8—266no—
625Q8—266no—
626Q8—266no—
627Q8C2×C22⋊#26114yes—
628D4—212no—
629D4—26no—
630D4—1324no—
631D4—1312no—
632D4—266no—
633D4—262no—
634D4—266no—
635D4—266no—
636D4—262no—
637D4—266no—
638D4—266no—
639D4—266no—
640D4—266no—
641D4—262no—
642D4—266no—
643D4—266no—
644D4—2612no—
645D4—266no—
646D4C2×C22⋊#261112yes—
647C2×C4—26no—
648C2×C4—21no—
649C2×C4—23no—
650C2×C4—26no—
651C2×C4—26no—
652C2×C4—21no—
653C2×C4—23no—
654C2×C4—1312no—
655C2×C4—131no—
656C2×C4—133no—
657C2×C4—1312no—
658C2×C4—132no—
659C2×C4—136no—
660C2×C4—1312no—
661C2×C4—132no—
662C2×C4—136no—
663C2×C4—133no—
664C2×C4—131no—
665C2×C4—2612no—
666C2×C4—2612no—
667C2×C4—2612no—
668C2×C4—266no—
669C2×C4—263no—
670C2×C4—261no—
671C2×C4—266no—
672C2×C4—266no—
673C2×C4—263no—
674C2×C4—261no—
675C2×C4—2616no—
676C2×C4—10424no—
677C2×C4C2×C22⋊#26116yes—
678C2×C4C2×C22⋊#26116yes—
679C2×C4C23×#26113yes—
680C2×C4C23×#26111yescharacteristic
681C2×C4C23×#26113yes—
682C2×C4C23×#26111yescharacteristic
683C22—21no—
684C22—23no—
685C22—43no—
686C22—41no—
687C22—43no—
688C22—86no—
689C22—136no—
690C22—132no—
691C22—263no—
692C22—261no—
693C22—5212no—
694C22—521no—
695C22—523no—
696C22—521no—
697C22—523no—
698C22—1046no—
699C22—10412no—
700C22C22×C22⋊#26116yes—
701C22C24×#26111yescharacteristic
702C4—21no—
703C4—23no—
704C4—132no—
705C4—136no—
706C4—263no—
707C4—261no—
708C4—5216no—
709C4C22×C22⋊#26111yescharacteristic
710C4C22×C22⋊#26116yes—
711C4C22×C22⋊#26111yescharacteristic
712C2—21no—
713C2—26no—
714C2—41no—
715C2—43no—
716C2—262no—
717C2—266no—
718C2—521no—
719C2—523no—
720C2C23×C22⋊#26111yescharacteristic
subgroupG/H
centerC4C22×C22⋊#261
commutatorC22×C13C24×C4
FrattiniC22C24×#261
FittingC22×C13×#41C4
socleC2×C13C23×C22⋊C4
prime radicalC2×#11719648C2
cosocleC22×D13C25
hypercenterC22×#41#261
hypocenterC13#60070
LCSG ▷ C22×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ C2×#41 ◁ C22×#41

Complements

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

NH ≅ G/Ntype
1. #13131816C2semidirect
2. #13131438C2semidirect
3. #13131437C2semidirect
4. #13131436C2semidirect
5. #13131435C2semidirect
6. D13⋊#410C2semidirect
7. C2×#11719116C2semidirect
9. C22×C13×#41C4semidirect
12. C2×#88257C4semidirect
14. C2×#88256C4semidirect
16. C2×#41×D13C4semidirect
17. C2×#41×D13C4semidirect
20. C2×#88254C4semidirect
22. C2×#88251C4semidirect
24. C22×#6127C4semidirect
28. #11719627C22semidirect
29. #11719623C22semidirect
30. C2×#88237C22semidirect
31. C2×#88119C22semidirect
32. #11719156C22semidirect
33. #11719142C22semidirect
34. D13⋊#99C22semidirect
35. #11719116C22semidirect
36. #11719116C22semidirect
37. #11719116C22semidirect
38. #11719116C22semidirect
39. C2×#88107C22semidirect
43. C2×C13×#41C2×C4semidirect
44. C2×C13×#41C2×C4semidirect
45. C2×C13×#41C2×C4semidirect
46. C22×Q8×C13C2×C4semidirect
47. C22×D4×C13C2×C4semidirect
48. C23×C4×C13C2×C4semidirect
49. C22×C22⋊D13C2×C4semidirect
50. C22×C22⋊D13C2×C4semidirect
67. C2×#6131C2×C4semidirect
68. C2×#6131C2×C4semidirect
70. C2×Q8×D13C2×C4semidirect
71. C2×Q8×D13C2×C4semidirect
72. C2×Q8×D13C2×C4semidirect
77. C2×#6129C2×C4semidirect
78. C2×#6129C2×C4semidirect
79. C2×#6129C2×C4semidirect
80. C2×#6129C2×C4semidirect
82. C2×D4×D13C2×C4semidirect
83. C2×D4×D13C2×C4semidirect
84. C2×D4×D13C2×C4semidirect
85. C2×D4×D13C2×C4semidirect
93. C2×#6127C2×C4semidirect
94. C2×#6127C2×C4semidirect
95. C2×#6127C2×C4semidirect
96. C2×#6127C2×C4semidirect
97. C2×#6127C2×C4semidirect
98. C2×#6127C2×C4semidirect
99. C2×#6127C2×C4semidirect
100. C2×#6127C2×C4semidirect
105. C22×D52C2×C4semidirect
107. C22×C4×D13C2×C4semidirect
108. C22×C4×D13C2×C4semidirect
110. C22×Dic26C2×C4semidirect
111. C22×Dic26C2×C4semidirect
347. C22×#41#261semidirect
437. C2×#41C2×#261semidirect
438. C2×#41C2×#261semidirect
439. C2×#41C2×#261semidirect
446. C22×Q8C2×#261semidirect
458. C22×D4C2×#261semidirect
462. C23×C4C2×#261semidirect
604. C13#60070semidirect

Maximal subgroups

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

subgroupindex
#131318162
#131314382
#131314372
#131314362
#131314352
D13⋊#4102
C2×#117191162
C2×#117196482
#6007013