Finite Group Databasebeta

← #15920351

Subgroups — #15920351

Order 3328.

1004 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718682C211yesmaximal, characteristic, complemented
2C2×#11718893C211yesmaximal, characteristic
3#13118538C211yesmaximal, characteristic, complemented
4#13116364C211yesmaximal, characteristic, complemented
5#13116224C211yesmaximal, characteristic, complemented
6#13116210C211yesmaximal, characteristic, complemented
7#13115972C211yesmaximal, characteristic, complemented
8#13115104C211yesmaximal, characteristic, complemented
9#13115090C211yesmaximal, characteristic, complemented
10#13115023C211yesmaximal, characteristic, complemented
11#13115021C211yesmaximal, characteristic, complemented
12#13114867C211yesmaximal, characteristic, complemented
13#13114841C211yesmaximal, characteristic, complemented
14#13114776C211yesmaximal, characteristic
15C13×#2341C211yesmaximal, characteristic
16C22×C13×#41C2211yescharacteristic
17C2×C4×Q8×C13C2211yescharacteristic
18C2×C4×Q8×C13C2211yescharacteristic
19C22×C4⋊Dic13C2211yescharacteristic
20C22×#6099C2211yescharacteristic
21C2×#88132—21no—
22C2×#88123C2211yescharacteristic
23C13×#390—21no—
24C13×#390—21no—
25C13×#390C2211yescharacteristic
26C13×#390C2211yescharacteristic
27C13×#380—21no—
28C13×#380C2211yescharacteristic
29C4×C13×C22⋊C4—21no—
30C4×C13×C22⋊C4C2211yescharacteristic
31#11718893—24no—
32C2×#88075C2211yescharacteristic
33C2×#88075C2211yescharacteristic
34C2×#88075C2211yescharacteristic
35C2×#88075C2211yescharacteristic
36C2×#88072C2211yescharacteristic
37C2×#88072C2211yescharacteristic
38C2×#88072C2211yescharacteristic
39C2×#88072C2211yescharacteristic
40#11718873C2211yescharacteristic
41C2×C22⋊#1055C2211yescharacteristic
42#11718682—24no—
43C2×#88048C2211yescharacteristic
44C2×#88047C2211yescharacteristic
45C2×#88047C2211yescharacteristic
46C2×#88047C2211yescharacteristic
47#11718611—21no—
48#11718596C2211yescharacteristic
49#11718589C2211yescharacteristic
50#11718589C2211yescharacteristic
51C2×C4⋊#1055C2211yescharacteristic
52C2×C4⋊#1055C2211yescharacteristic
53#11718322—21no—
54#11718317—21no—
55#11718121C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718116C2211yescharacteristic
60#11718116C2211yescharacteristic
61C2×C13×#41—22no—
62C2×C13×#41—22no—
63C2×C13×#41—22no—
64C2×C13×#41—41no—
65C2×C13×#41—41no—
66C2×C13×#41Q814yescomplemented
67C22×Q8×C13C2311yescharacteristic
68C22×D4×C13—21no—
69C22×D4×C13C2311yescharacteristic
70C23×C4×C13—21no—
71C23×C4×C13C2311yescharacteristic
72C23×Dic13—21no—
73C22×Dic26—21no—
74C4×Q8×C13—22no—
75C4×Q8×C13—22no—
76C4×Q8×C13—41no—
77C4×Q8×C13—41no—
78C2×C13×C4⋊C4—21no—
79C2×C13×C4⋊C4—21no—
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⋊C4—21no—
86C2×C13×C22⋊C4—21no—
87C2×C13×C22⋊C4D411yescharacteristic
88C2×C13×C22⋊C4D411yescharacteristic
89C2×C42×C13—21no—
90C2×C42×C13—21no—
91C2×C42×C13C2311yescharacteristic
92C2×C42×C13C2311yescharacteristic
93C2×C22⋊Dic13—21no—
94C2×C4⋊Dic13—22no—
95C2×C4⋊Dic13—21no—
96C2×C4⋊Dic13—21no—
97C2×C4⋊Dic13—21no—
98C2×C4⋊Dic13—21no—
99C2×C4⋊Dic13—41no—
100C2×C4⋊Dic13C2311yescharacteristic
101C2×C4⋊Dic13C2311yescharacteristic
102C2×C4⋊Dic13C2311yescharacteristic
103C2×C4⋊Dic13C2311yescharacteristic
104C2×#6101—21no—
105C2×#6101—21no—
106C2×#6099—22no—
107C2×#6099—22no—
108C2×#6099—41no—
109C22×#1055C2311yescharacteristic
110C22×#1055C2311yescharacteristic
111C22×#1055C2311yescharacteristic
112C22×#1055C2311yescharacteristic
113#88132—44no—
114#88123—22no—
115#88123—41no—
116C13×#95—21no—
117C13×#95D411yescharacteristic
118C13×#95D411yescharacteristic
119#88075—22no—
120#88075—22no—
121#88075—22no—
122#88075D414yes—
123#88072—22no—
124#88072—22no—
125#88072—41no—
126#88072—41no—
127#88071—21no—
128#88071—21no—
129#88071—21no—
130C22⋊#1055—22no—
131#88048—41no—
132#88047—22no—
133#88047—22no—
134#88047—41no—
135C4⋊#1055—22no—
136C4⋊#1055—41no—
137#25975—131nomaximal, Sylow
138C24×C13—21no—
139C24×C13C2×D411yescharacteristic
140C13×#41—28no—
141C13×#41—44no—
142C13×#41—44no—
143C13×#41—44no—
144C2×Q8×C13—21no—
145C2×Q8×C13—21no—
146C2×Q8×C13—21no—
147C2×Q8×C13C2×D412yes—
148C2×Q8×C13C2×Q812yes—
149C2×Q8×C13#4112yes—
150C2×D4×C13—24no—
151C2×D4×C13—21no—
152C2×D4×C13—21no—
153C2×D4×C13—21no—
154C2×D4×C13—21no—
155C2×D4×C13—21no—
156C2×D4×C13—42no—
157C2×D4×C13—42no—
158C2×D4×C13C2×Q812yes—
159C22×C4×C13—21no—
160C22×C4×C13—21no—
161C22×C4×C13—21no—
162C22×C4×C13—21no—
163C22×C4×C13—21no—
164C22×C4×C13—24no—
165C22×C4×C13—21no—
166C22×C4×C13—21no—
167C22×C4×C13—42no—
168C22×C4×C13—42no—
169C22×C4×C13C2×D411yescharacteristic
170C22×C4×C13C2×D411yescharacteristic
171C22×C4×C13C2×D411yescharacteristic
172C22×C4×C13C2×D411yescharacteristic
173C22×C4×C13C2×D411yescharacteristic
174C22×C4×C13C2×Q812yes—
175C22×C4×C13#4112yes—
176C22×C4×C13C2411yescharacteristic
177C22×Dic13—21no—
178C22×Dic13—21no—
179C22×Dic13—21no—
180C22×Dic13—21no—
181C22×Dic13—42no—
182C22×Dic13—42no—
183C22×Dic13—81no—
184C2×Dic26—42no—
185C2×Dic26—42no—
186C2×Dic26—81no—
187C13×C4⋊C4—21no—
188C13×C4⋊C4—21no—
189C13×C4⋊C4—21no—
190C13×C4⋊C4—21no—
191C13×C4⋊C4—42no—
192C13×C4⋊C4—42no—
193C13×C22⋊C4—22no—
194C13×C22⋊C4—22no—
195C13×C22⋊C4—42no—
196C13×C22⋊C4—42no—
197C13×C22⋊C4—81no—
198C13×C22⋊C4—81no—
199C13×C22⋊C4—81no—
200C42×C13—21no—
201C42×C13—21no—
202C42×C13—21no—
203C42×C13—21no—
204C42×C13—42no—
205C42×C13—42no—
206C22⋊Dic13—42no—
207C4⋊Dic13—21no—
208C4⋊Dic13—21no—
209C4⋊Dic13—21no—
210C4⋊Dic13—21no—
211C4⋊Dic13—21no—
212C4⋊Dic13—21no—
213C4⋊Dic13—21no—
214C4⋊Dic13—42no—
215C4⋊Dic13—42no—
216C4⋊Dic13—42no—
217C4⋊Dic13—81no—
218C4⋊Dic13C2×D412yes—
219#6101—42no—
220#6101—42no—
221#6099—44no—
222C2×#1055—21no—
223C2×#1055—21no—
224C2×#1055—21no—
225C2×#1055—21no—
226C2×#1055—21no—
227C2×#1055—21no—
228C2×#1055—21no—
229C2×#1055—21no—
230C2×#1055—21no—
231C2×#1055—21no—
232C2×#1055—21no—
233C2×#1055C2×D412yes—
234C2×#477—131no—
235C2×#417—131no—
236#2440—131no—
237#2341D1311yescharacteristic
238#2093—131no—
239#2067—131no—
240#2065—131no—
241#2023—131no—
242#1865—131no—
243#1863—131no—
244#1852—131no—
245#1851—131no—
246#1809—131no—
247#1803—131no—
248#1788—131no—
249C23×C13—21no—
250C23×C13—21no—
251C23×C13—21no—
252C23×C13—21no—
253C23×C13—21no—
254C23×C13—21no—
255C23×C13—22no—
256C23×C13—41no—
257C23×C13—41no—
258C23×C13—41no—
259C23×C13—41no—
260C23×C13—41no—
261C23×C13—41no—
262C23×C13C22⋊Q812yes—
263C23×C13C22×D411yescharacteristic
264Q8×C13—22no—
265Q8×C13—22no—
266Q8×C13—22no—
267Q8×C13C22⋊Q814yescomplemented
268D4×C13—22no—
269D4×C13—22no—
270D4×C13—48no—
271D4×C13—41no—
272D4×C13—41no—
273C2×C4×C13—22no—
274C2×C4×C13—21no—
275C2×C4×C13—21no—
276C2×C4×C13—22no—
277C2×C4×C13—21no—
278C2×C4×C13—22no—
279C2×C4×C13—21no—
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—21no—
287C2×C4×C13—21no—
288C2×C4×C13—21no—
289C2×C4×C13—21no—
290C2×C4×C13—21no—
291C2×C4×C13—21no—
292C2×C4×C13—48no—
293C2×C4×C13—41no—
294C2×C4×C13—41no—
295C2×C4×C13—41no—
296C2×C4×C13—41no—
297C2×C4×C13—41no—
298C2×C4×C13—41no—
299C2×C4×C13C22⋊Q812yes—
300C2×C4×C13AGL(1,ℤ/8)12yes—
301C2×C4×C13#13712yes—
302C2×C4×C13C22×D411yescharacteristic
303C2×C4×C13C22×Q811yescharacteristic
304C2×C4×C13C2×#4111yescharacteristic
305C2×C4×C13C2×#4111yescharacteristic
306C2×C4×C13H(5,𝔽2)11yescharacteristic
307C2×C4×C13H(5,𝔽2)11yescharacteristic
308C2×Dic13—22no—
309C2×Dic13—41no—
310C2×Dic13—41no—
311C2×Dic13—41no—
312C2×Dic13—41no—
313C2×Dic13—41no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—41no—
317C2×Dic13—41no—
318C2×Dic13—41no—
319C2×Dic13—41no—
320C2×Dic13—84no—
321Dic26—84no—
322#1055—22no—
323#1055—41no—
324#1055—41no—
325#1055—41no—
326C22×#41C2×D1311yescharacteristic
327C22×M16—131no—
328C2×C4⋊Q8—131no—
329C2×C22⋊Q8—261no—
330C2×C4×Q8C2×D1311yescharacteristic
331C2×C4×Q8C2×D1311yescharacteristic
332C22×C4⋊C4—131no—
333#477—264no—
334C2×#107—131no—
335C2×#107—131no—
336C2×#107—131no—
337C2×#106—131no—
338C2×C4⋊C8—131no—
339C2×C4⋊C8—131no—
340#417—264no—
341C2×#103—131no—
342C2×#103—131no—
343C2×#103—131no—
344C2×#103—131no—
345C2×#102—131no—
346C2×#102—131no—
347C2×#102—131no—
348C2×#102—131no—
349C2×C22⋊C8—131no—
350#398—261no—
351#395—261no—
352#390—21no—
353#390—21no—
354#390C2×D1311yescharacteristic
355#390C2×D1311yescharacteristic
356#389—131no—
357#389—131no—
358#385—261no—
359#384—131no—
360#380—21no—
361#380—131no—
362#380C2×D1311yescharacteristic
363C4×C22⋊C4—21no—
364C4×C22⋊C4C2×D1311yescharacteristic
365#340—131no—
366#340—131no—
367#340—131no—
368#340—131no—
369#336—131no—
370#336—131no—
371C22×C13—22no—
372C22×C13—22no—
373C22×C13—22no—
374C22×C13—41no—
375C22×C13—41no—
376C22×C13—41no—
377C22×C13—41no—
378C22×C13—42no—
379C22×C13—42no—
380C22×C13—42no—
381C22×C13—81no—
382C22×C13—81no—
383C22×C13—81no—
384C22×C13—81no—
385C22×C13C2×C22⋊Q811yescharacteristic
386C22×C13D4211yescharacteristic
387C22×C13#54611yescharacteristic
388C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
389C22×C13C2×#13711yescharacteristic
390C22×C13#57611yescharacteristic
391C22×C13#57811yescharacteristic
392C4×C13—22no—
393C4×C13—24no—
394C4×C13—22no—
395C4×C13—22no—
396C4×C13—41no—
397C4×C13—41no—
398C4×C13—81no—
399C4×C13—81no—
400C4×C13C2×C22⋊Q811yescharacteristic
401C4×C13#54311yescharacteristic
402C4×C13#54611yescharacteristic
403C4×C13#55111yescharacteristic
404Dic13—42no—
405Dic13—81no—
406Dic13—81no—
407Dic13—81no—
408C2×#41—22no—
409C2×#41—22no—
410C2×#41—22no—
411C2×#41—41no—
412C2×#41—41no—
413C2×#41Dic2614yescomplemented
414C22×Q8—261no—
415C22×Q8C22×D1311yescharacteristic
416C22×D4—21no—
417C22×D4C22×D1311yescharacteristic
418C23×C4—21no—
419C23×C4—261no—
420C23×C4C22×D1311yescharacteristic
421C2×M16—262no—
422C2×M16—262no—
423C2×M16—521no—
424C22×C8—131no—
425C22×C8—131no—
426C22×C8—131no—
427C22×C8—131no—
428C4⋊Q8—262no—
429C4⋊Q8—521no—
430C22⋊Q8—524no—
431C4×Q8—22no—
432C4×Q8—22no—
433C4×Q8—41no—
434C4×Q8—41no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—131no—
438C2×C4⋊C4—131no—
439C2×C4⋊C4—131no—
440C2×C4⋊C4—131no—
441C2×C4⋊C4—262no—
442C2×C4⋊C4—261no—
443C2×C4⋊C4—261no—
444C2×C4⋊C4—261no—
445C2×C4⋊C4—261no—
446C2×C4⋊C4—261no—
447C2×C4⋊C4—261no—
448C2×C4⋊C4—521no—
449C2×C4⋊C4C22×D1311yescharacteristic
450C2×C4⋊C4C22×D1311yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—261no—
457C2×C22⋊C4C22⋊D1311yescharacteristic
458C2×C22⋊C4C22⋊D1311yescharacteristic
459C2×C42—21no—
460C2×C42—21no—
461C2×C42C22×D1311yescharacteristic
462C2×C42C22×D1311yescharacteristic
463#107—262no—
464#107—262no—
465#107—521no—
466#106—521no—
467C4⋊C8—262no—
468C4⋊C8—521no—
469#103—134no—
470#103—262no—
471#103—262no—
472#103—262no—
473#102—262no—
474#102—262no—
475#102—521no—
476#102—521no—
477C22⋊C8—262no—
478#95—21no—
479#95—261no—
480#95—261no—
481#95—261no—
482#95C22⋊D1311yescharacteristic
483#95C22⋊D1311yescharacteristic
484C2×C13—42no—
485C2×C13—82no—
486C2×C13#243711yescharacteristic
487C2×C13#307911yescharacteristic
488C2×C13#308311yescharacteristic
489C2×C13#327011yescharacteristic
490C2×C13#327411yescharacteristic
491C2×C13#330811yescharacteristic
492C2×C13#333311yescharacteristic
493C24—21no—
494C24C2×C22⋊D1311yescharacteristic
495#41—28no—
496#41—44no—
497#41—44no—
498#41—44no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—522no—
503C2×Q8—522no—
504C2×Q8—1041no—
505C2×Q8C2×Dic2612yes—
506C2×Q8D4×D1312yes—
507C2×Q8#612912yes—
508C2×D4—24no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4C2×Dic2612yes—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—24no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—261no—
528C22×C4—261no—
529C22×C4—261no—
530C22×C4—261no—
531C22×C4—522no—
532C22×C4—522no—
533C22×C4—1041no—
534C22×C4C2×Dic2612yes—
535C22×C4#612712yes—
536C22×C4C2×C22⋊D1311yescharacteristic
537C22×C4C2×C22⋊D1311yescharacteristic
538C22×C4C2×C22⋊D1311yescharacteristic
539C22×C4C2×C22⋊D1311yescharacteristic
540C22×C4C2×C22⋊D1311yescharacteristic
541C22×C4C23×D1311yescharacteristic
542M16—524no—
543C2×C8—132no—
544C2×C8—261no—
545C2×C8—261no—
546C2×C8—261no—
547C2×C8—261no—
548C2×C8—261no—
549C2×C8—261no—
550C2×C8—261no—
551C2×C8—261no—
552C2×C8—261no—
553C2×C8—261no—
554C2×C8—261no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—132no—
562C4⋊C4—261no—
563C4⋊C4—261no—
564C4⋊C4—261no—
565C4⋊C4—261no—
566C4⋊C4—261no—
567C4⋊C4—261no—
568C4⋊C4—261no—
569C4⋊C4—522no—
570C4⋊C4—522no—
571C4⋊C4—522no—
572C4⋊C4—522no—
573C4⋊C4—522no—
574C4⋊C4—1041no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—42no—
578C22⋊C4—42no—
579C22⋊C4—81no—
580C22⋊C4—81no—
581C22⋊C4—81no—
582C22⋊C4—522no—
583C42—21no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—42no—
588C42—42no—
589C13#2597511yescharacteristic, complemented, Sylow
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—22no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23#8817812yes—
604C23C22×C22⋊D1311yescharacteristic
605Q8—22no—
606Q8—22no—
607Q8—22no—
608Q8—1044no—
609Q8#8813214yescomplemented
610D4—22no—
611D4—22no—
612D4—48no—
613D4—41no—
614D4—41no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—48no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—262no—
642C2×C4—521no—
643C2×C4—521no—
644C2×C4—521no—
645C2×C4—521no—
646C2×C4—521no—
647C2×C4—521no—
648C2×C4—521no—
649C2×C4—521no—
650C2×C4—521no—
651C2×C4—521no—
652C2×C4—521no—
653C2×C4—1044no—
654C2×C4#8817812yes—
655C2×C4#8820312yes—
656C2×C4#8820512yes—
657C2×C4C22×Dic2611yescharacteristic
658C2×C4C2×#612711yescharacteristic
659C2×C4C2×D4×D1311yescharacteristic
660C2×C4C2×#612911yescharacteristic
661C2×C4#8825111yescharacteristic
662C2×C4#8825111yescharacteristic
663C8—262no—
664C8—521no—
665C8—521no—
666C8—521no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22C2×#8817811yescharacteristic
682C22D4×C22⋊D1311yescharacteristic
683C22#1171951111yescharacteristic
684C22C2×#8820311yescharacteristic
685C22C2×#8820511yescharacteristic
686C22#1171954011yescharacteristic
687C22#1171954311yescharacteristic
688C4—22no—
689C4—22no—
690C4—24no—
691C4—22no—
692C4—41no—
693C4—41no—
694C4—81no—
695C4—81no—
696C4—522no—
697C4—1041no—
698C4—1041no—
699C4—1041no—
700C4C2×#8813211yescharacteristic
701C4#1171918811yescharacteristic
702C4#1171919511yescharacteristic
703C4#1171920011yescharacteristic
704C2—42no—
705C2—82no—
706C2#1311849711yescharacteristic
707C2#1312465111yescharacteristic
708C2#1312468711yescharacteristic
709C2#1312640211yescharacteristic
710C2#1312645611yescharacteristic
711C2#1312682711yescharacteristic
712C2#1312717411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC13×#2341C2
socleC23×C13C22×D4
prime radicalC22×C13×#41C22
hypercenter#2341D13
hypocenterC13#25975
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2341

Complements

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

NH ≅ G/Ntype
1. C2×#11718682C2semidirect
3. #13118538C2semidirect
4. #13116364C2semidirect
5. #13116224C2semidirect
6. #13116210C2semidirect
7. #13115972C2semidirect
8. #13115104C2semidirect
9. #13115090C2semidirect
10. #13115023C2semidirect
11. #13115021C2semidirect
12. #13114867C2semidirect
13. #13114841C2semidirect
66. C2×C13×#41Q8semidirect
267. Q8×C13C22⋊Q8semidirect
413. C2×#41Dic26semidirect
589. C13#25975semidirect
609. Q8#88132semidirect

Maximal subgroups

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

subgroupindex
C2×#117186822
C2×#117188932
#131185382
#131163642
#131162242
#131162102
#131159722
#131151042
#131150902
#131150232
#131150212
#131148672
#131148412
#131147762
C13×#23412
#2597513