Finite Group Databasebeta

← #15899535

Subgroups — #15899535

Order 3328.

1140 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718727C211yesmaximal, characteristic, complemented
2C2×#11718675C211yesmaximal, characteristic
3#13119754C211yesmaximal, characteristic, complemented
4#13116171C211yesmaximal, characteristic, complemented
5#13116166C211yesmaximal, characteristic, complemented
6#13115979C211yesmaximal, characteristic, complemented
7#13115969C211yesmaximal, characteristic, complemented
8#13115806C211yesmaximal, characteristic, complemented
9#13115777C211yesmaximal, characteristic, complemented
10#13115184C211yesmaximal, characteristic
11#13115184C211yesmaximal, characteristic
12#13115097C211yesmaximal, characteristic, complemented
13#13115083C211yesmaximal, characteristic, complemented
14#13114836C211yesmaximal, characteristic, complemented
15C2×C13×#554C211yesmaximal, characteristic, complemented
16C13×#554—24no—
17C13×#554—24no—
18C2×C13×C4⋊Q8C2211yescharacteristic
19C2×C13×#125C2211yescharacteristic
20C2×C13×#125C2211yescharacteristic
21C2×C13×C22⋊Q8—21no—
22C2×C13×C22⋊Q8—21no—
23C2×C13×C22⋊Q8—21no—
24C2×C4×Q8×C13C2211yescharacteristic
25C2×C4×D4×C13C2211yescharacteristic
26C2×C4×D4×C13C2211yescharacteristic
27C2×C4×D4×C13C2211yescharacteristic
28C22×C13×C4⋊C4—21no—
29C2×#88200—21no—
30C22×#6104C2211yescharacteristic
31C2×C4×D52C2211yescharacteristic
32C2×#88072C2211yescharacteristic
33C2×#88072C2211yescharacteristic
34C2×#88072C2211yescharacteristic
35#11718727—24no—
36#11718675—24no—
37#11718655—21no—
38#11718655—21no—
39#11718648—21no—
40C2×#88049C2211yescharacteristic
41C2×#88049C2211yescharacteristic
42C2×#88049C2211yescharacteristic
43C2×#88048C2211yescharacteristic
44C2×#88048C2211yescharacteristic
45C2×#88047C2211yescharacteristic
46#11718600C2211yescharacteristic
47#11718600C2211yescharacteristic
48#11718596C2211yescharacteristic
49#11718589C2211yescharacteristic
50#11718589C2211yescharacteristic
51C2×C4⋊#1055C2211yescharacteristic
52C2×#88043C2211yescharacteristic
53#11718121C2211yescharacteristic
54#11718121C2211yescharacteristic
55#11718121C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718116C2211yescharacteristic
60#11718116C2211yescharacteristic
61#11718116C2211yescharacteristic
62#11718116C2211yescharacteristic
63C22×Q8×C13—21no—
64C22×Q8×C13D411yescharacteristic
65C22×D4×C13C2311yescharacteristic
66C23×C4×C13—21no—
67C23×C4×C13—21no—
68C23×C4×C13—21no—
69C22×D52C2311yescharacteristic
70C22×C4×D13—21no—
71C13×C4⋊Q8—22no—
72C13×C4⋊Q8—22no—
73C13×#125—22no—
74C13×#125—22no—
75C13×#125—22no—
76C13×#125D414yes—
77C13×C22⋊Q8—28no—
78C13×C22⋊Q8—28no—
79C13×C22⋊Q8—28no—
80C4×Q8×C13—22no—
81C4×Q8×C13—22no—
82C4×D4×C13—22no—
83C4×D4×C13—22no—
84C4×D4×C13—22no—
85C4×D4×C13—22no—
86C4×D4×C13—22no—
87C4×D4×C13D414yes—
88C2×C13×C4⋊C4—28no—
89C2×C13×C4⋊C4—21no—
90C2×C13×C4⋊C4—21no—
91C2×C13×C4⋊C4—21no—
92C2×C13×C4⋊C4—21no—
93C2×C13×C4⋊C4—21no—
94C2×C13×C4⋊C4D411yescharacteristic
95C2×C13×C4⋊C4D411yescharacteristic
96C2×C13×C4⋊C4D411yescharacteristic
97C2×C13×C4⋊C4C2311yescharacteristic
98C2×C13×C4⋊C4C2311yescharacteristic
99C2×C13×C4⋊C4C2311yescharacteristic
100C2×C13×C22⋊C4—21no—
101C2×C13×C22⋊C4—21no—
102C2×C13×C22⋊C4—21no—
103C2×C42×C13C2311yescharacteristic
104C2×C42×C13C2311yescharacteristic
105C2×C42×C13C2311yescharacteristic
106#88200—44no—
107C2×#6104—22no—
108C2×#6104—22no—
109C2×#6104Q814yescomplemented
110C2×#6103—21no—
111C2×#6103—21no—
112C2×#6103—21no—
113C2×#6103—21no—
114C2×#6103—21no—
115C2×C4⋊Dic13—21no—
116C2×C4⋊Dic13—21no—
117C2×C4⋊Dic13C2311yescharacteristic
118C2×C4⋊Dic13C2311yescharacteristic
119C2×C4⋊Dic13C2311yescharacteristic
120C2×#6101—21no—
121C2×#6101—21no—
122C22×#1055C2311yescharacteristic
123C22×#1055C2311yescharacteristic
124C22×#1055C2311yescharacteristic
125C22×#1055C2311yescharacteristic
126C4×D52—22no—
127C4×D52—22no—
128#88072—22no—
129#88072—22no—
130#88072—22no—
131#88071—21no—
132#88071—21no—
133#88049—22no—
134#88049—22no—
135#88049—22no—
136#88048—22no—
137#88048—22no—
138#88047—22no—
139C4⋊#1055—22no—
140#88043—22no—
141#24347—131nomaximal, Sylow
142C24×C13—21no—
143C23×D13—21no—
144C2×Q8×C13—24no—
145C2×Q8×C13—22no—
146C2×Q8×C13—22no—
147C2×Q8×C13—41no—
148C2×Q8×C13—81no—
149C2×Q8×C13—81no—
150C2×D4×C13—21no—
151C2×D4×C13—21no—
152C2×D4×C13—21no—
153C2×D4×C13C2×D412yes—
154C2×D4×C13C2×Q812yes—
155C2×D4×C13#4112yes—
156C22×C4×C13—24no—
157C22×C4×C13—21no—
158C22×C4×C13—21no—
159C22×C4×C13—21no—
160C22×C4×C13—24no—
161C22×C4×C13—24no—
162C22×C4×C13—42no—
163C22×C4×C13—42no—
164C22×C4×C13—81no—
165C22×C4×C13—81no—
166C22×C4×C13—81no—
167C22×C4×C13—81no—
168C22×C4×C13C2×D411yescharacteristic
169C22×C4×C13C2×D411yescharacteristic
170C22×C4×C13C2×D411yescharacteristic
171C22×C4×C13C2×D411yescharacteristic
172C22×C4×C13C2×D411yescharacteristic
173C22×C4×C13C2×D411yescharacteristic
174C22×C4×C13C2411yescharacteristic
175C22×Dic13—21no—
176C22×Dic13—21no—
177C22×Dic13—21no—
178C2×D52—21no—
179C2×D52—21no—
180C2×D52—21no—
181C2×D52—21no—
182C2×D52—21no—
183C2×D52C2×Q812yes—
184C2×C4×D13—42no—
185C2×C4×D13—42no—
186C2×C4×D13—42no—
187C13×C4⋊C4—24no—
188C13×C4⋊C4—24no—
189C13×C4⋊C4—24no—
190C13×C4⋊C4—22no—
191C13×C4⋊C4—24no—
192C13×C4⋊C4—24no—
193C13×C4⋊C4—22no—
194C13×C4⋊C4—22no—
195C13×C4⋊C4—21no—
196C13×C4⋊C4—21no—
197C13×C4⋊C4—21no—
198C13×C4⋊C4C2×D412yes—
199C13×C4⋊C4C2×D412yes—
200C13×C4⋊C4C2×D412yes—
201C13×C22⋊C4—24no—
202C13×C22⋊C4—24no—
203C13×C22⋊C4—24no—
204C42×C13—21no—
205C42×C13—21no—
206C42×C13—21no—
207C42×C13—21no—
208C42×C13C2×D412yes—
209C42×C13C2×D412yes—
210#6104—28no—
211#6103—42no—
212#6103—42no—
213#6103—42no—
214#6103—81no—
215#6103—81no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13—21no—
219C4⋊Dic13—21no—
220C4⋊Dic13—21no—
221C4⋊Dic13—21no—
222C4⋊Dic13—42no—
223C4⋊Dic13—81no—
224#6101—42no—
225#6101—42no—
226C2×#1055—21no—
227C2×#1055—21no—
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×#1055C2×Q812yes—
238C2×#554D1311yescharacteristic, complemented
239C2×#478—131no—
240C2×#442—131no—
241#2538—131no—
242#2059—131no—
243#2058—131no—
244#2025—131no—
245#2023—131no—
246#1992—131no—
247#1985—131no—
248#1879—131no—
249#1879—131no—
250#1864—131no—
251#1862—131no—
252#1802—131no—
253C23×C13—22no—
254C23×C13—22no—
255C23×C13—22no—
256C23×C13—41no—
257C23×C13—41no—
258C23×C13—41no—
259C23×C13—41no—
260C23×C13C22×D411yescharacteristic
261C22×D13—22no—
262C22×D13—41no—
263C22×D13—41no—
264C22×D13—41no—
265C22×D13—41no—
266C22×D13—41no—
267C22×D13—41no—
268Q8×C13—44no—
269Q8×C13—84no—
270D4×C13—22no—
271D4×C13—22no—
272D4×C13—22no—
273D4×C13C22⋊Q814yescomplemented
274C2×C4×C13—21no—
275C2×C4×C13—21no—
276C2×C4×C13—21no—
277C2×C4×C13—21no—
278C2×C4×C13—21no—
279C2×C4×C13—21no—
280C2×C4×C13—21no—
281C2×C4×C13—21no—
282C2×C4×C13—21no—
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×C13—84no—
300C2×C4×C13—84no—
301C2×C4×C13#12012yes—
302C2×C4×C13#12012yes—
303C2×C4×C13AGL(1,ℤ/8)12yes—
304C2×C4×C13C22×D411yescharacteristic
305C2×C4×C13C22×D411yescharacteristic
306C2×C4×C13C22×Q811yescharacteristic
307C2×C4×C13C2×#4111yescharacteristic
308C2×C4×C132−1+411yescharacteristic
309C2×C4×C132−1+411yescharacteristic
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—
319D52—22no—
320D52—22no—
321D52—41no—
322D52—41no—
323C4×D13—84no—
324#1055—22no—
325#1055—41no—
326#1055—41no—
327#1055—41no—
328C22×D8—131no—
329#554—24no—
330#554—24no—
331C2×C4⋊Q8C2×D1311yescharacteristic
332C2×#125C2×D1311yescharacteristic
333C2×#125C2×D1311yescharacteristic
334C2×C22⋊Q8—21no—
335C2×C22⋊Q8—21no—
336C2×C22⋊Q8—21no—
337C2×C22⋊Q8—261no—
338C2×C4×Q8C2×D1311yescharacteristic
339C2×C4×D4—131no—
340C2×C4×D4C2×D1311yescharacteristic
341C2×C4×D4C2×D1311yescharacteristic
342C2×C4×D4C2×D1311yescharacteristic
343C22×C4⋊C4—21no—
344#478—264no—
345#442—264no—
346C2×#107—131no—
347C2×#106—131no—
348C2×#106—131no—
349C2×C4⋊C8—131no—
350C2×#102—131no—
351C2×#102—131no—
352C2×#102—131no—
353C2×#102—131no—
354C2×#102—131no—
355C2×#102—131no—
356C2×#97—131no—
357#396—261no—
358#396—261no—
359#390—131no—
360#390—131no—
361#389—131no—
362#389—131no—
363#384—131no—
364#380—261no—
365#340—131no—
366#340—131no—
367#340—131no—
368#340—131no—
369#340—131no—
370#340—131no—
371#336—131no—
372#336—131no—
373#336—131no—
374#336—131no—
375C22×C13—24no—
376C22×C13—42no—
377C22×C13—42no—
378C22×C13—42no—
379C22×C13—42no—
380C22×C13—42no—
381C22×C13—42no—
382C22×C13C2×#12011yescharacteristic
383C22×C13#54811yescharacteristic
384C22×C13D4×Q811yescharacteristic
385C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
386C22×C13#57511yescharacteristic
387C22×C13#57611yescharacteristic
388C22×C13#57711yescharacteristic
389C2×D13—42no—
390C2×D13—42no—
391C2×D13—42no—
392C2×D13—81no—
393C2×D13—81no—
394C2×D13—81no—
395C2×D13—81no—
396C4×C13—22no—
397C4×C13—22no—
398C4×C13—22no—
399C4×C13—41no—
400C4×C13—42no—
401C4×C13—41no—
402C4×C13—41no—
403C4×C13—42no—
404C4×C13—42no—
405C4×C13C2×C22⋊Q811yescharacteristic
406C4×C13#53611yescharacteristic
407C4×C13#54811yescharacteristic
408C4×C13D4×Q811yescharacteristic
409Dic13—81no—
410Dic13—81no—
411Dic13—81no—
412C22×Q8—21no—
413C22×Q8C22⋊D1311yescharacteristic
414C22×D4—131no—
415C22×D4C22×D1311yescharacteristic
416C23×C4—21no—
417C23×C4—21no—
418C23×C4—21no—
419C23×C4—261no—
420C2×D8—134no—
421C2×D8—262no—
422C2×D8—262no—
423C22×C8—131no—
424C22×C8—131no—
425C22×C8—131no—
426C22×C8—131no—
427C4⋊Q8—22no—
428C4⋊Q8—22no—
429#125—22no—
430#125—22no—
431#125—22no—
432#125C22⋊D1314yes—
433C22⋊Q8—28no—
434C22⋊Q8—28no—
435C22⋊Q8—28no—
436C22⋊Q8—524no—
437C4×Q8—22no—
438C4×Q8—22no—
439C4×D4—22no—
440C4×D4—22no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—262no—
445C4×D4—262no—
446C4×D4C22⋊D1314yes—
447C2×C4⋊C4—28no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—131no—
454C2×C4⋊C4—131no—
455C2×C4⋊C4—131no—
456C2×C4⋊C4—261no—
457C2×C4⋊C4—261no—
458C2×C4⋊C4—261no—
459C2×C4⋊C4—261no—
460C2×C4⋊C4C22⋊D1311yescharacteristic
461C2×C4⋊C4C22⋊D1311yescharacteristic
462C2×C4⋊C4C22⋊D1311yescharacteristic
463C2×C4⋊C4C22×D1311yescharacteristic
464C2×C4⋊C4C22×D1311yescharacteristic
465C2×C4⋊C4C22×D1311yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—261no—
470C2×C22⋊C4—261no—
471C2×C22⋊C4—261no—
472C2×C22⋊C4—261no—
473C2×C22⋊C4—261no—
474C2×C42C22×D1311yescharacteristic
475C2×C42C22×D1311yescharacteristic
476C2×C42C22×D1311yescharacteristic
477#107—262no—
478#106—262no—
479#106—262no—
480C4⋊C8—262no—
481#102—262no—
482#102—262no—
483#102—262no—
484#102—262no—
485#102—262no—
486#102—262no—
487#97—262no—
488#95—261no—
489#95—261no—
490C2×C13—44no—
491C2×C13#240911yescharacteristic
492C2×C13#300611yescharacteristic
493C2×C13#301211yescharacteristic
494C2×C13#336611yescharacteristic
495C2×C13#337611yescharacteristic
496C2×C13#338411yescharacteristic
497C2×C13#338911yescharacteristic
498D13—82no—
499C24—21no—
500C24—261no—
501C2×Q8—24no—
502C2×Q8—22no—
503C2×Q8—22no—
504C2×Q8—41no—
505C2×Q8—81no—
506C2×Q8—81no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—132no—
511C2×D4—261no—
512C2×D4—261no—
513C2×D4—261no—
514C2×D4—261no—
515C2×D4—261no—
516C2×D4Q8×D1312yes—
517C2×D4#613112yes—
518C2×D4C2×C22⋊D1312yes—
519C22×C4—24no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—24no—
524C22×C4—24no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—81no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4—81no—
531C22×C4—261no—
532C22×C4—261no—
533C22×C4—261no—
534C22×C4—522no—
535C22×C4—522no—
536C22×C4—522no—
537C22×C4C2×C22⋊D1311yescharacteristic
538C22×C4C2×C22⋊D1311yescharacteristic
539C22×C4C2×C22⋊D1311yescharacteristic
540C22×C4C2×C22⋊D1311yescharacteristic
541C22×C4C2×C22⋊D1311yescharacteristic
542C22×C4C2×C22⋊D1311yescharacteristic
543C22×C4C23×D1311yescharacteristic
544D8—268no—
545C2×C8—132no—
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—
555C2×C8—261no—
556C2×C8—261no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—22no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—261no—
569C4⋊C4—261no—
570C4⋊C4—261no—
571C4⋊C4—261no—
572C4⋊C4—261no—
573C4⋊C4—261no—
574C4⋊C4—522no—
575C4⋊C4—522no—
576C4⋊C4—522no—
577C4⋊C4—1041no—
578C4⋊C4C2×C22⋊D1312yes—
579C4⋊C4C2×C22⋊D1312yes—
580C4⋊C4C2×C22⋊D1312yes—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—522no—
585C22⋊C4—522no—
586C22⋊C4—522no—
587C22⋊C4—1041no—
588C22⋊C4—1041no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42C2×C22⋊D1312yes—
594C42C2×C22⋊D1312yes—
595C13#2434711yescharacteristic, complemented, Sylow
596C23—22no—
597C23—22no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—262no—
604C23—521no—
605C23—521no—
606C23—521no—
607C23—521no—
608C23—521no—
609C23—521no—
610C23C22×C22⋊D1311yescharacteristic
611Q8—44no—
612Q8—84no—
613D4—22no—
614D4—22no—
615D4—22no—
616D4—262no—
617D4—262no—
618D4—521no—
619D4—521no—
620D4#8820014yescomplemented
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—48no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—84no—
647C2×C4—84no—
648C2×C4—521no—
649C2×C4—521no—
650C2×C4—521no—
651C2×C4—521no—
652C2×C4—521no—
653C2×C4—521no—
654C2×C4—521no—
655C2×C4—521no—
656C2×C4—521no—
657C2×C4—1044no—
658C2×C4#8820312yes—
659C2×C4#8820712yes—
660C2×C4#8820712yes—
661C2×C4C2×Q8×D1311yescharacteristic
662C2×C4C2×#613111yescharacteristic
663C2×C4#8825411yescharacteristic
664C2×C4#8825411yescharacteristic
665C2×C4C22×C22⋊D1311yescharacteristic
666C2×C4C22×C22⋊D1311yescharacteristic
667C8—262no—
668C8—521no—
669C8—521no—
670C8—521no—
671C22—24no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—522no—
679C22—522no—
680C22—522no—
681C22—1041no—
682C22—1041no—
683C22—1041no—
684C22—1041no—
685C22Q8×C22⋊D1311yescharacteristic
686C22#1171952211yescharacteristic
687C22C2×#8820311yescharacteristic
688C22#1171952711yescharacteristic
689C22#1171954011yescharacteristic
690C22#1171954111yescharacteristic
691C22C2×#8820711yescharacteristic
692C4—22no—
693C4—22no—
694C4—22no—
695C4—41no—
696C4—41no—
697C4—42no—
698C4—42no—
699C4—41no—
700C4—42no—
701C4—1041no—
702C4—1041no—
703C4—1041no—
704C4C2×#8820011yescharacteristic
705C4Q8×C22⋊D1311yescharacteristic
706C4#1171952111yescharacteristic
707C4#1171952211yescharacteristic
708C2—44no—
709C2—1042no—
710C2#1311819511yescharacteristic
711C2#1312408811yescharacteristic
712C2#1312414011yescharacteristic
713C2#1312754311yescharacteristic
714C2#1312766311yescharacteristic
715C2#1312773511yescharacteristic
716C2#1312779011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC2×C13×#554C2
socleC23×C13C22×D4
prime radicalC22×#6104C22
hypercenterC2×#554D13
hypocenterC13#24347
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. C2×#11718727C2semidirect
3. #13119754C2semidirect
4. #13116171C2semidirect
5. #13116166C2semidirect
6. #13115979C2semidirect
7. #13115969C2semidirect
8. #13115806C2semidirect
9. #13115777C2semidirect
12. #13115097C2semidirect
13. #13115083C2semidirect
14. #13114836C2semidirect
15. C2×C13×#554C2semidirect
109. C2×#6104Q8semidirect
238. C2×#554D13semidirect
273. D4×C13C22⋊Q8semidirect
595. C13#24347semidirect
620. D4#88200semidirect

Maximal subgroups

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

subgroupindex
C2×#117187272
C2×#117186752
#131197542
#131161712
#131161662
#131159792
#131159692
#131158062
#131157772
#131151842
#131150972
#131150832
#131148362
C2×C13×#5542
#2434713