Finite Group Databasebeta

← #15883202

Subgroups — #15883202

Order 3328.

1118 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718900C211yesmaximal, characteristic
2C2×#11718679C211yesmaximal, characteristic, complemented
3C2×#11718894C211yesmaximal, characteristic
4#13117861C211yesmaximal, characteristic, complemented
5#13115706C211yesmaximal, characteristic, complemented
6#13115529C211yesmaximal, characteristic, complemented
7#13115474C211yesmaximal, characteristic, complemented
8#13115257C211yesmaximal, characteristic, complemented
9#13115180C211yesmaximal, characteristic, complemented
10#13115170C211yesmaximal, characteristic, complemented
11#13115097C211yesmaximal, characteristic, complemented
12#13115033C211yesmaximal, characteristic, complemented
13#13114661C211yesmaximal, characteristic, complemented
14#13114614C211yesmaximal, characteristic, complemented
15C13×#2339C211yesmaximal, characteristic
16C22×C13×#41C2211yescharacteristic
17C2×C4×D4×C13C2211yescharacteristic
18C2×C4×D4×C13C2211yescharacteristic
19C22×#6107C2211yescharacteristic
20C22×#6105C2211yescharacteristic
21C2×#88180C2211yescharacteristic
22C2×#88178C2211yescharacteristic
23C23×#1055C2211yescharacteristic
24C2×C4×Dic26C2211yescharacteristic
25C13×#391C2211yescharacteristic
26C13×#391C2211yescharacteristic
27C13×#386—21no—
28C13×#386—21no—
29C13×#381—21no—
30C13×#380C2211yescharacteristic
31C4×C13×C22⋊C4C2211yescharacteristic
32C2×C13×#95—21no—
33#11718900C418yescomplemented
34#11718894—24no—
35C2×#88075C2211yescharacteristic
36C2×#88075C2211yescharacteristic
37C2×#88075C2211yescharacteristic
38C2×#88072C2211yescharacteristic
39C2×#88072C2211yescharacteristic
40C2×#88072C2211yescharacteristic
41C2×C22⋊#1055C2211yescharacteristic
42#11718679—24no—
43C2×#88050C2211yescharacteristic
44C2×#88050C2211yescharacteristic
45C2×#88048C2211yescharacteristic
46C2×#88047C2211yescharacteristic
47#11718606—21no—
48#11718605—21no—
49C4×C4⋊Dic13C2211yescharacteristic
50#11718590C2211yescharacteristic
51#11718589C2211yescharacteristic
52C2×#88043C2211yescharacteristic
53C2×#88043C2211yescharacteristic
54#11718313—21no—
55#11718310—21no—
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718116C2211yescharacteristic
61#11718116C2211yescharacteristic
62C2×C13×#41—22no—
63C2×C13×#41—22no—
64C2×C13×#41—22no—
65C2×C13×#41—41no—
66C2×C13×#41—41no—
67C2×C13×#41C2×C414yes—
68C22×Q8×C13C2311yescharacteristic
69C22×D4×C13—21no—
70C22×D4×C13C2311yescharacteristic
71C23×C4×C13—21no—
72C23×C4×C13—21no—
73C23×C4×C13—21no—
74C23×C4×C13C2311yescharacteristic
75C22×Dic26C2311yescharacteristic
76C4×D4×C13—22no—
77C4×D4×C13—22no—
78C4×D4×C13—41no—
79C4×D4×C13—41no—
80C2×C13×C4⋊C4C2311yescharacteristic
81C2×C13×C4⋊C4C2311yescharacteristic
82C2×C13×C22⋊C4—21no—
83C2×C13×C22⋊C4—21no—
84C2×C13×C22⋊C4—21no—
85C2×C13×C22⋊C4D411yescharacteristic
86C2×C13×C22⋊C4D411yescharacteristic
87C2×C42×C13C2311yescharacteristic
88C2×C42×C13C2311yescharacteristic
89C2×C22⋊Dic13—21no—
90C2×C22⋊Dic13—21no—
91C2×#6107—41no—
92C2×#6107—41no—
93C2×#6107C2×C414yescomplemented
94C2×#6105—22no—
95C2×#6105—22no—
96C2×#6105C2×C414yes—
97#88180—22no—
98#88180—41no—
99C2×C4⋊Dic13C2311yescharacteristic
100C2×C4⋊Dic13C2311yescharacteristic
101C2×C4⋊Dic13C2311yescharacteristic
102#88178—22no—
103#88178C2×C414yescomplemented
104C2×#6101—21no—
105C2×#6101—21no—
106C2×#6101—21no—
107C2×C4×Dic13—21no—
108C2×C4×Dic13—21no—
109C2×C4×Dic13—21no—
110C22×#1055—22no—
111C22×#1055—22no—
112C22×#1055—41no—
113C22×#1055C2311yescharacteristic
114C22×#1055C2311yescharacteristic
115C22×#1055C2311yescharacteristic
116C22×#1055C2311yescharacteristic
117C4×Dic26—22no—
118C4×Dic26—41no—
119C13×#95—21no—
120C13×#95—21no—
121C13×#95—21no—
122C13×#95—21no—
123C13×#95—21no—
124C13×#95D411yescharacteristic
125C13×#95D411yescharacteristic
126#88075—22no—
127#88075—22no—
128#88075C2×C414yescomplemented
129#88072—22no—
130#88072C2×C414yes—
131#88072D414yes—
132#88071—21no—
133#88071—21no—
134#88071—21no—
135#88071—21no—
136C22⋊#1055C2×C414yescomplemented
137#88050—22no—
138#88050—41no—
139#88048—41no—
140#88047—22no—
141#88043—22no—
142#88043—41no—
143#22856—131nomaximal, Sylow
144C24×C13—21no—
145C24×C13C2×D411yescharacteristic
146C13×#41—28no—
147C13×#41—44no—
148C13×#41—44no—
149C13×#41—44no—
150C2×Q8×C13—21no—
151C2×Q8×C13—21no—
152C2×Q8×C13—21no—
153C2×Q8×C13—21no—
154C2×Q8×C13—21no—
155C2×Q8×C13C22×C412yes—
156C2×D4×C13—24no—
157C2×D4×C13—21no—
158C2×D4×C13—21no—
159C2×D4×C13—21no—
160C2×D4×C13—42no—
161C2×D4×C13—42no—
162C2×D4×C13C22×C412yes—
163C2×D4×C13C2×D412yes—
164C2×D4×C13#4112yes—
165C22×C4×C13—21no—
166C22×C4×C13—21no—
167C22×C4×C13—21no—
168C22×C4×C13—21no—
169C22×C4×C13—21no—
170C22×C4×C13—24no—
171C22×C4×C13—21no—
172C22×C4×C13—21no—
173C22×C4×C13—42no—
174C22×C4×C13—42no—
175C22×C4×C13—42no—
176C22×C4×C13—42no—
177C22×C4×C13—42no—
178C22×C4×C13—42no—
179C22×C4×C13—81no—
180C22×C4×C13—81no—
181C22×C4×C13C22×C412yes—
182C22×C4×C13C2×D411yescharacteristic
183C22×C4×C13C2×D411yescharacteristic
184C22×C4×C13C2×D411yescharacteristic
185C22×C4×C13C2×D411yescharacteristic
186C22×C4×C13C2×D411yescharacteristic
187C22×C4×C13#4112yes—
188C22×C4×C13C2411yescharacteristic
189C22×Dic13—21no—
190C22×Dic13—21no—
191C22×Dic13—21no—
192C22×Dic13—21no—
193C2×Dic26—21no—
194C2×Dic26—21no—
195C2×Dic26—21no—
196C2×Dic26—21no—
197C2×Dic26—21no—
198C2×Dic26C22×C412yes—
199C13×C4⋊C4—21no—
200C13×C4⋊C4—21no—
201C13×C4⋊C4—21no—
202C13×C4⋊C4—21no—
203C13×C22⋊C4—41no—
204C13×C22⋊C4—41no—
205C13×C22⋊C4—42no—
206C13×C22⋊C4—42no—
207C13×C22⋊C4—81no—
208C42×C13—21no—
209C42×C13—21no—
210C42×C13—21no—
211C42×C13—21no—
212C22⋊Dic13—24no—
213C22⋊Dic13—42no—
214#6107—44no—
215#6105—28no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13—21no—
219C4⋊Dic13—21no—
220C4⋊Dic13C22×C412yes—
221C4⋊Dic13C2×D412yes—
222#6101—24no—
223#6101—42no—
224#6101—42no—
225C4×Dic13—42no—
226C4×Dic13—42no—
227C4×Dic13—42no—
228C2×#1055—21no—
229C2×#1055—21no—
230C2×#1055—21no—
231C2×#1055—21no—
232C2×#1055—21no—
233C2×#1055—21no—
234C2×#1055—21no—
235C2×#1055—21no—
236C2×#1055—21no—
237C2×#1055—44no—
238C2×#1055C22×C412yes—
239C2×#1055C22×C412yes—
240C2×#1055C2×D412yes—
241C2×#452—131no—
242C2×#440—131no—
243C2×#416—131no—
244#2362—131no—
245#2339D1311yescharacteristic
246#1971—131no—
247#1935—131no—
248#1928—131no—
249#1892—131no—
250#1878—131no—
251#1877—131no—
252#1864—131no—
253#1854—131no—
254#1762—131no—
255#1752—131no—
256C23×C13—22no—
257C23×C13—21no—
258C23×C13—22no—
259C23×C13—22no—
260C23×C13—21no—
261C23×C13—21no—
262C23×C13—21no—
263C23×C13—21no—
264C23×C13—21no—
265C23×C13—41no—
266C23×C13—41no—
267C23×C13—41no—
268C23×C13—41no—
269C23×C13C4×D412yes—
270C23×C13C22×D411yescharacteristic
271Q8×C13—22no—
272Q8×C13—22no—
273Q8×C13—41no—
274Q8×C13—41no—
275D4×C13—22no—
276D4×C13—22no—
277D4×C13—22no—
278D4×C13—48no—
279D4×C13C4×D414yes—
280C2×C4×C13—21no—
281C2×C4×C13—21no—
282C2×C4×C13—22no—
283C2×C4×C13—22no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—21no—
288C2×C4×C13—21no—
289C2×C4×C13—21no—
290C2×C4×C13—21no—
291C2×C4×C13—21no—
292C2×C4×C13—21no—
293C2×C4×C13—21no—
294C2×C4×C13—21no—
295C2×C4×C13—21no—
296C2×C4×C13—21no—
297C2×C4×C13—21no—
298C2×C4×C13—21no—
299C2×C4×C13—48no—
300C2×C4×C13—41no—
301C2×C4×C13—41no—
302C2×C4×C13—41no—
303C2×C4×C13—41no—
304C2×C4×C13—41no—
305C2×C4×C13—41no—
306C2×C4×C13—41no—
307C2×C4×C13—41no—
308C2×C4×C13—84no—
309C2×C4×C13—84no—
310C2×C4×C13C4×D412yes—
311C2×C4×C13C23×C411yescharacteristic
312C2×C4×C13C22×D411yescharacteristic
313C2×C4×C13C2×#4111yescharacteristic
314C2×C4×C13C2×#4111yescharacteristic
315C2×C4×C13H(5,𝔽2)11yescharacteristic
316C2×C4×C13H(5,𝔽2)11yescharacteristic
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—22no—
320C2×Dic13—41no—
321C2×Dic13—41no—
322C2×Dic13—41no—
323C2×Dic13—41no—
324C2×Dic13—41no—
325C2×Dic13—41no—
326C2×Dic13—41no—
327C2×Dic13—41no—
328C2×Dic13—41no—
329Dic26—22no—
330Dic26—22no—
331Dic26—41no—
332Dic26—41no—
333#1055—22no—
334#1055—22no—
335#1055—22no—
336#1055—41no—
337C22×#41C2×D1311yescharacteristic
338C22×Q16—131no—
339C22×SD16—131no—
340C23×C8—131no—
341C2×C22⋊Q8—131no—
342C2×C4×Q8—131no—
343C2×C4×D4C2×D1311yescharacteristic
344C2×C4×D4C2×D1311yescharacteristic
345C2×#117—131no—
346#452—138no—
347#440—264no—
348C2×#107—131no—
349C2×#106—131no—
350#416—264no—
351C2×#103—131no—
352C2×#103—131no—
353C2×#103—131no—
354C2×#103—131no—
355C2×#103—131no—
356C2×#102—131no—
357C2×#102—131no—
358C2×#102—131no—
359C2×C22⋊C8—131no—
360C2×#97—131no—
361C2×#97—131no—
362#391—131no—
363#391C2×D1311yescharacteristic
364#391C2×D1311yescharacteristic
365#389—131no—
366#388—261no—
367#388—261no—
368#387—261no—
369#386—21no—
370#386—21no—
371#381—21no—
372#380C2×D1311yescharacteristic
373C4×C4⋊C4—131no—
374C4×C4⋊C4—261no—
375C4×C22⋊C4C2×D1311yescharacteristic
376C2×#95—21no—
377#340—131no—
378#340—131no—
379#340—131no—
380#340—131no—
381#336—131no—
382#336—131no—
383C22×C13—22no—
384C22×C13—24no—
385C22×C13—22no—
386C22×C13—22no—
387C22×C13—42no—
388C22×C13—42no—
389C22×C13—42no—
390C22×C13—41no—
391C22×C13—41no—
392C22×C13—42no—
393C22×C13—42no—
394C22×C13—41no—
395C22×C13—41no—
396C22×C13—42no—
397C22×C13C2×C4×D411yescharacteristic
398C22×C13D4211yescharacteristic
399C22×C13#54611yescharacteristic
400C22×C13#57511yescharacteristic
401C22×C13#57511yescharacteristic
402C22×C13#57711yescharacteristic
403C22×C13#57811yescharacteristic
404C4×C13—22no—
405C4×C13—42no—
406C4×C13—41no—
407C4×C13—41no—
408C4×C13—41no—
409C4×C13—41no—
410C4×C13—81no—
411C4×C13—81no—
412C4×C13C2×C4×D411yescharacteristic
413C4×C13#51811yescharacteristic
414C4×C13#54611yescharacteristic
415C4×C13#55111yescharacteristic
416Dic13—42no—
417Dic13—42no—
418Dic13—42no—
419Dic13—81no—
420C2×#41—22no—
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—41no—
424C2×#41—41no—
425C2×#41C4×D1314yes—
426C22×Q8—131no—
427C22×Q8C22×D1311yescharacteristic
428C22×D4—21no—
429C22×D4C22×D1311yescharacteristic
430C23×C4—21no—
431C23×C4—21no—
432C23×C4—21no—
433C23×C4C22×D1311yescharacteristic
434C2×Q16—134no—
435C2×Q16—521no—
436C2×Q16—521no—
437C2×SD16—134no—
438C2×SD16—262no—
439C2×SD16—262no—
440C22×C8—131no—
441C22×C8—131no—
442C22×C8—131no—
443C22×C8—131no—
444C22×C8—262no—
445C22×C8—262no—
446C22×C8—521no—
447C22⋊Q8—134no—
448C22⋊Q8—262no—
449C4×Q8—262no—
450C4×Q8—521no—
451C4×D4—22no—
452C4×D4—22no—
453C4×D4—41no—
454C4×D4—41no—
455#117—262no—
456#117—521no—
457C2×C4⋊C4—131no—
458C2×C4⋊C4—131no—
459C2×C4⋊C4—131no—
460C2×C4⋊C4—261no—
461C2×C4⋊C4—261no—
462C2×C4⋊C4—261no—
463C2×C4⋊C4C22×D1311yescharacteristic
464C2×C4⋊C4C22×D1311yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—261no—
469C2×C22⋊C4—261no—
470C2×C22⋊C4C22⋊D1311yescharacteristic
471C2×C22⋊C4C22⋊D1311yescharacteristic
472C2×C42—261no—
473C2×C42—261no—
474C2×C42—261no—
475C2×C42C22×D1311yescharacteristic
476C2×C42C22×D1311yescharacteristic
477#107—262no—
478#106—521no—
479#103—134no—
480#103—262no—
481#103—262no—
482#103—262no—
483#103—521no—
484#102—134no—
485#102—134no—
486#102—262no—
487C22⋊C8—134no—
488#97—262no—
489#97—521no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—261no—
496#95—261no—
497#95—261no—
498#95—261no—
499#95C22⋊D1311yescharacteristic
500#95C22⋊D1311yescharacteristic
501C2×C13—42no—
502C2×C13—44no—
503C2×C13#235811yescharacteristic
504C2×C13#294311yescharacteristic
505C2×C13#294711yescharacteristic
506C2×C13#326711yescharacteristic
507C2×C13#326911yescharacteristic
508C2×C13#331111yescharacteristic
509C2×C13#331511yescharacteristic
510C24—21no—
511C24C2×C22⋊D1311yescharacteristic
512#41—28no—
513#41—44no—
514#41—44no—
515#41—44no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—132no—
522C2×Q8—261no—
523C2×Q8—261no—
524C2×Q8—261no—
525C2×Q8—261no—
526C2×Q8—261no—
527C2×Q8C2×C4×D1312yes—
528C2×D4—24no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—42no—
533C2×D4—42no—
534C2×D4C2×C4×D1312yes—
535C2×D4D4×D1312yes—
536C2×D4#612912yes—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—24no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—81no—
552C22×C4—81no—
553C22×C4—261no—
554C22×C4—261no—
555C22×C4—261no—
556C22×C4—261no—
557C22×C4C2×C4×D1312yes—
558C22×C4#612712yes—
559C22×C4C2×C22⋊D1311yescharacteristic
560C22×C4C2×C22⋊D1311yescharacteristic
561C22×C4C2×C22⋊D1311yescharacteristic
562C22×C4C2×C22⋊D1311yescharacteristic
563C22×C4C2×C22⋊D1311yescharacteristic
564C22×C4C23×D1311yescharacteristic
565Q16—524no—
566SD16—268no—
567C2×C8—132no—
568C2×C8—132no—
569C2×C8—132no—
570C2×C8—261no—
571C2×C8—261no—
572C2×C8—261no—
573C2×C8—261no—
574C2×C8—261no—
575C2×C8—261no—
576C2×C8—261no—
577C2×C8—261no—
578C2×C8—261no—
579C2×C8—524no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—132no—
585C4⋊C4—132no—
586C4⋊C4—264no—
587C4⋊C4—261no—
588C4⋊C4—261no—
589C4⋊C4—261no—
590C4⋊C4—261no—
591C4⋊C4—522no—
592C4⋊C4—522no—
593C22⋊C4—41no—
594C22⋊C4—41no—
595C22⋊C4—42no—
596C22⋊C4—42no—
597C22⋊C4—81no—
598C22⋊C4—264no—
599C22⋊C4—522no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—522no—
605C42—522no—
606C42—522no—
607C13#2285611yescharacteristic, complemented, Sylow
608C23—22no—
609C23—22no—
610C23—21no—
611C23—22no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23C4×C22⋊D1312yes—
622C23C22×C22⋊D1311yescharacteristic
623Q8—22no—
624Q8—22no—
625Q8—41no—
626Q8—41no—
627Q8—262no—
628Q8—262no—
629Q8—521no—
630Q8—521no—
631D4—22no—
632D4—22no—
633D4—22no—
634D4—48no—
635D4#8813514yes—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—48no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—84no—
665C2×C4—84no—
666C2×C4—262no—
667C2×C4—262no—
668C2×C4—262no—
669C2×C4—521no—
670C2×C4—521no—
671C2×C4—521no—
672C2×C4—521no—
673C2×C4—521no—
674C2×C4—521no—
675C2×C4—521no—
676C2×C4—521no—
677C2×C4—521no—
678C2×C4C4×C22⋊D1312yes—
679C2×C4C22×C4×D1311yescharacteristic
680C2×C4C2×#612711yescharacteristic
681C2×C4C2×D4×D1311yescharacteristic
682C2×C4C2×#612911yescharacteristic
683C2×C4#8825111yescharacteristic
684C2×C4#8825111yescharacteristic
685C8—262no—
686C8—262no—
687C8—262no—
688C8—521no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—24no—
693C22—41no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—41no—
699C22—42no—
700C22—41no—
701C22—41no—
702C22—42no—
703C22C2×C4×C22⋊D1311yescharacteristic
704C22D4×C22⋊D1311yescharacteristic
705C22#1171951111yescharacteristic
706C22#1171952711yescharacteristic
707C22#1171952711yescharacteristic
708C22#1171954111yescharacteristic
709C22#1171954311yescharacteristic
710C4—22no—
711C4—41no—
712C4—42no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—81no—
717C4—81no—
718C4—522no—
719C4—522no—
720C4—522no—
721C4—1041no—
722C4C2×#8813511yescharacteristic
723C4#1171919111yescharacteristic
724C4#1171919511yescharacteristic
725C4#1171920011yescharacteristic
726C2—42no—
727C2—44no—
728C2#1311781511yescharacteristic
729C2#1312363411yescharacteristic
730C2#1312367511yescharacteristic
731C2#1312635711yescharacteristic
732C2#1312638711yescharacteristic
733C2#1312687211yescharacteristic
734C2#1312693211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#2339C2
socleC23×C13C22×D4
prime radicalC22×C13×#41C22
cosocleC22×C4×C13C24
hypercenter#2339D13
hypocenterC13#22856
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. C2×#11718679C2semidirect
4. #13117861C2semidirect
5. #13115706C2semidirect
6. #13115529C2semidirect
7. #13115474C2semidirect
8. #13115257C2semidirect
9. #13115180C2semidirect
10. #13115170C2semidirect
11. #13115097C2semidirect
12. #13115033C2semidirect
13. #13114661C2semidirect
14. #13114614C2semidirect
33. #11718900C4semidirect
93. C2×#6107C2×C4semidirect
103. #88178C2×C4semidirect
128. #88075C2×C4semidirect
136. C22⋊#1055C2×C4semidirect
607. C13#22856semidirect

Maximal subgroups

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

subgroupindex
C2×#117189002
C2×#117186792
C2×#117188942
#131178612
#131157062
#131155292
#131154742
#131152572
#131151802
#131151702
#131150972
#131150332
#131146612
#131146142
C13×#23392
#2285613