Finite Group Databasebeta

← #16799353

Subgroups — #16799353

Order 3328.

1162 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719067C211yesmaximal, characteristic
2C2×#11719062C211yesmaximal, characteristic
3#13131010C211yesmaximal, characteristic, complemented
4#13131009C211yesmaximal, characteristic, complemented
5#13131009C211yesmaximal, characteristic, complemented
6#13131008C211yesmaximal, characteristic, complemented
7#13131007C211yesmaximal, characteristic, complemented
8#13131007C211yesmaximal, characteristic, complemented
9#13131006C211yesmaximal, characteristic, complemented
10#13131005C211yesmaximal, characteristic, complemented
11#13130502C211yesmaximal, characteristic
12#13130502C211yesmaximal, characteristic
13#13130499C211yesmaximal, characteristic
14C2×#11718290C211yesmaximal, characteristic
15C2×#11719327C211yesmaximal, characteristic
16C22×#6122C2211yescharacteristic
17C22×#6122C2211yescharacteristic
18C23×#1057C2211yescharacteristic
19C23×#1057C2211yescharacteristic
20C2×C13×C22⋊Q8C411yescharacteristic
21C2×Q8×Dic13C2211yescharacteristic
22C2×#88198C411yescharacteristic
23C2×#88178C411yescharacteristic
24C22×C4×Dic13C2211yescharacteristic
25#11719327—24no—
26#11719327—24no—
27C2×#88143C411yescharacteristic
28C2×#88143C411yescharacteristic
29C2×#88142C411yescharacteristic
30C2×#88141C2211yescharacteristic
31C2×#88141C2211yescharacteristic
32C2×#88141C2211yescharacteristic
33C2×#88132C411yescharacteristic
34C2×#88132C411yescharacteristic
35C2×#88131C2211yescharacteristic
36C2×#88131C2211yescharacteristic
37C2×#88112C2211yescharacteristic
38C2×#88112C2211yescharacteristic
39C2×#88110C2211yescharacteristic
40C2×#88110C2211yescharacteristic
41C2×C4⋊#1057C2211yescharacteristic
42C2×C4⋊#1057C2211yescharacteristic
43C2×C4×#1057C2211yescharacteristic
44C2×C4×#1057C2211yescharacteristic
45#11719067—24no—
46#11719062—24no—
47#11718290C2211yescharacteristic
48#11718290C2211yescharacteristic
49#11718290C2211yescharacteristic
50#11718290C2211yescharacteristic
51#11718290C2211yescharacteristic
52#11718290C2211yescharacteristic
53#11718290C2211yescharacteristic
54#11718290C2211yescharacteristic
55#11718290C2211yescharacteristic
56#11718290C2211yescharacteristic
57#11718290C2211yescharacteristic
58#11718290C2211yescharacteristic
59#11718290C2211yescharacteristic
60#11718290C2211yescharacteristic
61#11718290C2211yescharacteristic
62#11718290C2211yescharacteristic
63C22×Q8×C13C2×C411yescharacteristic
64C23×C4×C13C2×C411yescharacteristic
65C23×Dic13C2×C411yescharacteristic
66C23×Dic13C2311yescharacteristic
67C22×Dic26C2×C411yescharacteristic
68C22×Dic26C2×C411yescharacteristic
69C22×Dic26C2×C411yescharacteristic
70C2×#6122—22no—
71C2×#6122—22no—
72C2×#6122—22no—
73C2×#6122—22no—
74C2×#6122—22no—
75C2×#6122Q814yescomplemented
76C22×#1057—22no—
77C22×#1057—22no—
78C22×#1057—22no—
79C22×#1057—22no—
80C22×#1057—22no—
81C22×#1057Q814yescomplemented
82C22×#1057C2311yescharacteristic
83C22×#1057C2311yescharacteristic
84C22×#1057C2311yescharacteristic
85C22×#1057C2311yescharacteristic
86C22×#1057C2311yescharacteristic
87C22×#1057C2311yescharacteristic
88C22×#1057C2311yescharacteristic
89C22×#1057C2311yescharacteristic
90C13×C22⋊Q8—24no—
91C2×C13×C4⋊C4C2×C411yescharacteristic
92C2×C13×C4⋊C4C2×C411yescharacteristic
93C2×C13×C4⋊C4C2×C411yescharacteristic
94C2×C13×C22⋊C4C2×C411yescharacteristic
95C2×C13×C22⋊C4C2×C411yescharacteristic
96C2×C22⋊Dic13C2×C411yescharacteristic
97C2×C22⋊Dic13C2×C411yescharacteristic
98Q8×Dic13—22no—
99Q8×Dic13—22no—
100#88198—24no—
101C2×C4⋊Dic13C2×C411yescharacteristic
102C2×C4⋊Dic13C2×C411yescharacteristic
103C2×C4⋊Dic13C2×C411yescharacteristic
104#88178—24no—
105C2×#6101C2×C411yescharacteristic
106C2×#6101C2×C411yescharacteristic
107C2×#6101C2×C411yescharacteristic
108C2×#6101C2×C411yescharacteristic
109C2×#6101C2×C411yescharacteristic
110C2×#6101C2×C411yescharacteristic
111C2×#6101C2×C411yescharacteristic
112C2×#6101C2×C411yescharacteristic
113C2×#6101C2×C411yescharacteristic
114C2×#6101C2×C411yescharacteristic
115C2×C4×Dic13—22no—
116C2×C4×Dic13—22no—
117C2×C4×Dic13C2×C411yescharacteristic
118C2×C4×Dic13C2×C411yescharacteristic
119C2×C4×Dic13C2311yescharacteristic
120C2×C4×Dic13C2311yescharacteristic
121C2×C4×Dic13C2311yescharacteristic
122C2×C4×Dic13C2311yescharacteristic
123C2×C4×Dic13C2311yescharacteristic
124C2×C4×Dic13C2311yescharacteristic
125#88143—24no—
126#88143—24no—
127#88142—24no—
128#88141—22no—
129#88141—22no—
130#88141—22no—
131#88141—22no—
132#88141—22no—
133#88141—22no—
134#88132—24no—
135#88132—24no—
136#88131—22no—
137#88131—22no—
138#88131D414yes—
139#88131D414yes—
140#88112—22no—
141#88112—22no—
142#88110—22no—
143#88110—22no—
144C4⋊#1057—22no—
145C4⋊#1057—22no—
146C4×#1057—22no—
147C4×#1057—22no—
148#21304—131nomaximal, Sylow
149C24×C13C22×C411yescharacteristic
150C2×Q8×C13—22no—
151C2×Q8×C13—22no—
152C2×Q8×C13—41no—
153C22×C4×C13—22no—
154C22×C4×C13—22no—
155C22×C4×C13—41no—
156C22×C4×C13C22×C411yescharacteristic
157C22×C4×C13C22×C411yescharacteristic
158C22×C4×C13C22×C411yescharacteristic
159C22×C4×C13C22×C411yescharacteristic
160C22×C4×C13C22×C411yescharacteristic
161C22×C4×C13C22×C411yescharacteristic
162C22×Dic13—22no—
163C22×Dic13—22no—
164C22×Dic13—41no—
165C22×Dic13C22×C411yescharacteristic
166C22×Dic13C22×C411yescharacteristic
167C22×Dic13C22×C411yescharacteristic
168C22×Dic13C22×C411yescharacteristic
169C22×Dic13C22×C411yescharacteristic
170C22×Dic13C22×C411yescharacteristic
171C22×Dic13C22×C411yescharacteristic
172C22×Dic13C2×D412yes—
173C22×Dic13C2×D412yes—
174C22×Dic13C2×Q812yes—
175C22×Dic13C2×Q812yes—
176C22×Dic13#4112yes—
177C22×Dic13#4112yes—
178C22×Dic13C2411yescharacteristic
179C2×Dic26—22no—
180C2×Dic26—22no—
181C2×Dic26—22no—
182C2×Dic26—22no—
183C2×Dic26—22no—
184C2×Dic26—22no—
185C2×Dic26—41no—
186C2×Dic26—41no—
187C2×Dic26—41no—
188#6122—28no—
189#6122—44no—
190C2×#1057—28no—
191C2×#1057—21no—
192C2×#1057—21no—
193C2×#1057—21no—
194C2×#1057—21no—
195C2×#1057—21no—
196C2×#1057—21no—
197C2×#1057—21no—
198C2×#1057—21no—
199C2×#1057—21no—
200C2×#1057—21no—
201C2×#1057—21no—
202C2×#1057—21no—
203C2×#1057—21no—
204C2×#1057—21no—
205C2×#1057—21no—
206C2×#1057—21no—
207C2×#1057—21no—
208C2×#1057—21no—
209C2×#1057—21no—
210C2×#1057—21no—
211C2×#1057—44no—
212C2×#1057C2×Q812yes—
213C2×#1057C2×Q812yes—
214C2×#1057C2×Q812yes—
215C2×#1057C2×Q812yes—
216C13×C4⋊C4—22no—
217C13×C4⋊C4—22no—
218C13×C4⋊C4—22no—
219C13×C22⋊C4—22no—
220C13×C22⋊C4C22⋊C414yes—
221C22⋊Dic13—22no—
222C22⋊Dic13C22⋊C414yes—
223C4⋊Dic13—22no—
224C4⋊Dic13—22no—
225C4⋊Dic13—22no—
226#6101—22no—
227#6101—22no—
228#6101—22no—
229#6101—22no—
230#6101—22no—
231#6101—22no—
232#6101—22no—
233#6101—22no—
234#6101C22⋊C414yes—
235#6101C22⋊C414yes—
236C4×Dic13—22no—
237C4×Dic13—22no—
238C4×Dic13—21no—
239C4×Dic13—21no—
240C4×Dic13—21no—
241C4×Dic13—21no—
242C4×Dic13—21no—
243C4×Dic13—21no—
244C4×Dic13—21no—
245C4×Dic13—21no—
246C4×Dic13C2×D412yes—
247C4×Dic13C2×D412yes—
248C4×Dic13C2×D412yes—
249C4×Dic13C2×D412yes—
250C2×#533—131no—
251C2×#424—131no—
252C2×#405—131no—
253#1985—131no—
254#1985—131no—
255#1985—131no—
256#1985—131no—
257#1984—131no—
258#1984—131no—
259#1984—131no—
260#1984—131no—
261#1729—131no—
262#1729—131no—
263#1728—131no—
264C2×#336—131no—
265C23×C13—21no—
266C23×C13—21no—
267C23×C13—21no—
268C23×C13—21no—
269C23×C13C2×C22⋊C412yes—
270C23×C13C4×Q812yes—
271C23×C13C4×Q812yes—
272C23×C13C23×C411yescharacteristic
273Q8×C13—44no—
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—21no—
284C2×C4×C13—21no—
285C2×C4×C13—21no—
286C2×C4×C13—21no—
287C2×C4×C13—21no—
288C2×C4×C13—21no—
289C2×C4×C13—44no—
290C2×C4×C13C2×C22⋊C412yes—
291C2×C4×C13C2×C22⋊C412yes—
292C2×C4×C13#13112yes—
293C2×Dic13—21no—
294C2×Dic13—21no—
295C2×Dic13—21no—
296C2×Dic13—21no—
297C2×Dic13—21no—
298C2×Dic13—21no—
299C2×Dic13—21no—
300C2×Dic13—21no—
301C2×Dic13—21no—
302C2×Dic13—21no—
303C2×Dic13—21no—
304C2×Dic13—21no—
305C2×Dic13—21no—
306C2×Dic13—21no—
307C2×Dic13—21no—
308C2×Dic13—44no—
309C2×Dic13C2×C22⋊C412yes—
310C2×Dic13C2×C22⋊C412yes—
311C2×Dic13C2×C22⋊C412yes—
312C2×Dic13C4×Q812yes—
313C2×Dic13C4×Q812yes—
314C2×Dic13C22⋊Q814yes—
315C2×Dic13C22⋊Q814yes—
316C2×Dic13#12414yes—
317C2×Dic13C4⋊Q814yes—
318C2×Dic13#13112yes—
319C2×Dic13C22×D411yescharacteristic
320C2×Dic13C22×D411yescharacteristic
321C2×Dic13C22×Q811yescharacteristic
322C2×Dic13C22×Q811yescharacteristic
323C2×Dic13C2×#4111yescharacteristic
324C2×Dic13C2×#4111yescharacteristic
325Dic26—44no—
326Dic26—44no—
327Dic26—44no—
328#1057—22no—
329#1057—22no—
330#1057—22no—
331#1057—22no—
332#1057—41no—
333#1057—41no—
334#1057—41no—
335#1057—41no—
336C22×M16—131no—
337C22×M16—131no—
338C23×C8—131no—
339C23×C8—131no—
340#533—264no—
341#533—264no—
342C2×C4⋊Q8—131no—
343C2×C4⋊Q8—131no—
344C2×#125—131no—
345C2×#125—131no—
346C2×C22⋊Q8—131no—
347C2×C22⋊Q8—131no—
348C2×C22⋊Q8—131no—
349C2×C22⋊Q8#26111yescharacteristic
350C2×C4×Q8—131no—
351C2×C4×Q8—131no—
352C2×C4×Q8—131no—
353C2×C4×Q8—131no—
354C2×#117—131no—
355C2×#117—131no—
356C22×C42—131no—
357#424—264no—
358C2×C4⋊C8—131no—
359C2×C4⋊C8—131no—
360C2×C4⋊C8—131no—
361C2×C4⋊C8—131no—
362#405—264no—
363C2×#97—131no—
364C2×#97—131no—
365C2×C4×C8—131no—
366C2×C4×C8—131no—
367#336—131no—
368#336—131no—
369#336—131no—
370#336—131no—
371#336—131no—
372#336—131no—
373#336—131no—
374#336—131no—
375#336—131no—
376#336—131no—
377#336—131no—
378#336—131no—
379#336—131no—
380#336—131no—
381#336—131no—
382#336—131no—
383C22×C13—22no—
384C22×C13—22no—
385C22×C13—22no—
386C22×C13—22no—
387C22×C13—22no—
388C22×C13—22no—
389C22×C13#39114yes—
390C22×C13C22×C22⋊C411yescharacteristic
391C22×C13C2×C4×Q811yescharacteristic
392C22×C13C2×C4×Q811yescharacteristic
393C22×C13C2×#13111yescharacteristic
394C22×C13C2×#13111yescharacteristic
395C22×C13#56811yescharacteristic
396C22×C13#56811yescharacteristic
397C4×C13—22no—
398C4×C13—22no—
399C4×C13—22no—
400C4×C13—41no—
401C4×C13—41no—
402C4×C13—41no—
403Dic13—22no—
404Dic13—22no—
405Dic13—22no—
406Dic13—41no—
407Dic13—41no—
408Dic13—41no—
409Dic13#39114yes—
410Dic13C2×C22⋊Q811yescharacteristic
411Dic13C2×C22⋊Q811yescharacteristic
412Dic13C2×#12411yescharacteristic
413Dic13C2×C4⋊Q811yescharacteristic
414C22×Q8—131no—
415C22×Q8—131no—
416C22×Q8—131no—
417C22×Q8C2×#26111yescharacteristic
418C23×C4—131no—
419C23×C4—131no—
420C23×C4C2×#26111yescharacteristic
421C2×M16—134no—
422C2×M16—262no—
423C2×M16—262no—
424C2×M16—262no—
425C2×M16—262no—
426C2×M16—262no—
427C22×C8—131no—
428C22×C8—131no—
429C22×C8—134no—
430C22×C8—131no—
431C22×C8—131no—
432C22×C8—131no—
433C22×C8—131no—
434C22×C8—131no—
435C22×C8—131no—
436C22×C8—262no—
437C22×C8—262no—
438C22×C8—262no—
439C22×C8—262no—
440C22×C8—262no—
441C4⋊Q8—264no—
442C4⋊Q8—264no—
443#125—264no—
444#125—264no—
445C22⋊Q8—24no—
446C22⋊Q8—264no—
447C22⋊Q8—264no—
448C22⋊Q8—264no—
449C4×Q8—262no—
450C4×Q8—262no—
451C4×Q8—262no—
452C4×Q8—262no—
453C4×Q8—262no—
454C4×Q8—262no—
455C4×Q8—262no—
456C4×Q8—262no—
457#117—134no—
458#117—134no—
459#117—262no—
460#117—262no—
461C2×C4⋊C4—131no—
462C2×C4⋊C4—131no—
463C2×C4⋊C4—131no—
464C2×C4⋊C4—131no—
465C2×C4⋊C4—131no—
466C2×C4⋊C4—131no—
467C2×C4⋊C4—131no—
468C2×C4⋊C4—131no—
469C2×C4⋊C4—131no—
470C2×C4⋊C4—131no—
471C2×C4⋊C4—131no—
472C2×C4⋊C4—131no—
473C2×C4⋊C4—131no—
474C2×C4⋊C4C2×#26111yescharacteristic
475C2×C4⋊C4C2×#26111yescharacteristic
476C2×C4⋊C4C2×#26111yescharacteristic
477C2×C22⋊C4—131no—
478C2×C22⋊C4—131no—
479C2×C22⋊C4C2×#26111yescharacteristic
480C2×C22⋊C4C2×#26111yescharacteristic
481C2×C42—131no—
482C2×C42—131no—
483C2×C42—131no—
484C2×C42—131no—
485C2×C42—131no—
486C2×C42—131no—
487C2×C42—131no—
488C2×C42—131no—
489C2×C42—262no—
490C2×C42—262no—
491C4⋊C8—262no—
492C4⋊C8—262no—
493C4⋊C8—262no—
494C4⋊C8—262no—
495#97—262no—
496#97—262no—
497C4×C8—262no—
498C4×C8—262no—
499C2×C13—24no—
500C2×C13C2×#39111yescharacteristic
501C2×C13#288011yescharacteristic
502C2×C13#288011yescharacteristic
503C2×C13#296011yescharacteristic
504C2×C13#296111yescharacteristic
505C2×C13#296211yescharacteristic
506C2×C13#296211yescharacteristic
507C24C22×#26111yescharacteristic
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8—41no—
511C2×Q8—262no—
512C2×Q8—262no—
513C2×Q8—262no—
514C2×Q8—262no—
515C2×Q8—262no—
516C2×Q8—262no—
517C2×Q8—521no—
518C2×Q8—521no—
519C2×Q8—521no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—41no—
523C22×C4—132no—
524C22×C4—132no—
525C22×C4—132no—
526C22×C4—132no—
527C22×C4—132no—
528C22×C4—132no—
529C22×C4—131no—
530C22×C4—131no—
531C22×C4—131no—
532C22×C4—131no—
533C22×C4—131no—
534C22×C4—131no—
535C22×C4—131no—
536C22×C4—131no—
537C22×C4—262no—
538C22×C4—262no—
539C22×C4—521no—
540C22×C4C22×#26111yescharacteristic
541C22×C4C22×#26111yescharacteristic
542C22×C4C22×#26111yescharacteristic
543C22×C4C22×#26111yescharacteristic
544C22×C4C22×#26111yescharacteristic
545C22×C4C22×#26111yescharacteristic
546M16—268no—
547M16—524no—
548C2×C8—132no—
549C2×C8—132no—
550C2×C8—132no—
551C2×C8—132no—
552C2×C8—261no—
553C2×C8—261no—
554C2×C8—261no—
555C2×C8—261no—
556C2×C8—261no—
557C2×C8—261no—
558C2×C8—268no—
559C2×C8—261no—
560C2×C8—261no—
561C2×C8—261no—
562C2×C8—261no—
563C2×C8—261no—
564C2×C8—261no—
565C2×C8—261no—
566C2×C8—261no—
567C2×C8—261no—
568C2×C8—261no—
569C2×C8—261no—
570C2×C8—261no—
571C2×C8—261no—
572C2×C8—261no—
573C2×C8—524no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—134no—
578C4⋊C4—134no—
579C4⋊C4—262no—
580C4⋊C4—262no—
581C4⋊C4—262no—
582C4⋊C4—262no—
583C4⋊C4—262no—
584C4⋊C4—262no—
585C4⋊C4—262no—
586C4⋊C4—262no—
587C4⋊C4—262no—
588C4⋊C4—262no—
589C4⋊C4—262no—
590C22⋊C4—22no—
591C22⋊C4—134no—
592C22⋊C4—262no—
593C22⋊C4C22⋊#26114yes—
594C42—132no—
595C42—132no—
596C42—132no—
597C42—132no—
598C42—261no—
599C42—261no—
600C42—261no—
601C42—261no—
602C42—262no—
603C42—262no—
604C42—261no—
605C42—261no—
606C42—261no—
607C42—261no—
608C13#2130411yescharacteristic, complemented, Sylow
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23Q8×#26112yes—
614C23Q8×#26112yes—
615C23C2×C22⋊#26112yes—
616C23C23×#26111yescharacteristic
617Q8—44no—
618Q8—524no—
619Q8—524no—
620Q8—524no—
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—44no—
637C2×C4—131no—
638C2×C4—131no—
639C2×C4—131no—
640C2×C4—131no—
641C2×C4—132no—
642C2×C4—132no—
643C2×C4—131no—
644C2×C4—131no—
645C2×C4—132no—
646C2×C4—134no—
647C2×C4—134no—
648C2×C4—134no—
649C2×C4—134no—
650C2×C4—132no—
651C2×C4—132no—
652C2×C4—132no—
653C2×C4—261no—
654C2×C4—261no—
655C2×C4—261no—
656C2×C4—261no—
657C2×C4—261no—
658C2×C4—261no—
659C2×C4—261no—
660C2×C4—261no—
661C2×C4—261no—
662C2×C4—261no—
663C2×C4—261no—
664C2×C4—261no—
665C2×C4—261no—
666C2×C4—261no—
667C2×C4—261no—
668C2×C4—524no—
669C2×C4#8823812yes—
670C2×C4C2×C22⋊#26112yes—
671C2×C4C2×C22⋊#26112yes—
672C8—262no—
673C8—262no—
674C8—262no—
675C8—262no—
676C8—521no—
677C8—521no—
678C8—521no—
679C8—521no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22(C2×#261)⋊Q814yes—
687C22C2×#8823811yescharacteristic
688C22#1171962111yescharacteristic
689C22C2×Q8×#26111yescharacteristic
690C22C2×Q8×#26111yescharacteristic
691C22D13⋊#13111yescharacteristic
692C22#1171962911yescharacteristic
693C22C22×C22⋊#26111yescharacteristic
694C4—22no—
695C4—22no—
696C4—22no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—131no—
701C4—131no—
702C4—131no—
703C4—131no—
704C4—134no—
705C4—262no—
706C4—262no—
707C4—262no—
708C4—521no—
709C4—521no—
710C4—521no—
711C2—24no—
712C2C2×(C2×#261)⋊Q811yescharacteristic
713C2#1313142411yescharacteristic
714C2#1313142611yescharacteristic
715C2#1313162411yescharacteristic
716C2#1313162711yescharacteristic
717C2#1313163111yescharacteristic
718C2#1313163311yescharacteristic
subgroupG/H
center, FrattiniC23C23×#261
commutator, socleC23×C13C23×C4
FittingC2×C13×C22⋊Q8C4
prime radicalC24×C13C22×C4
cosocleC22×Dic13C24
hypercenterC2×C22⋊Q8#261
hypocenterC13#21304
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C22⋊Q8

Complements

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

NH ≅ G/Ntype
3. #13131010C2semidirect
4. #13131009C2semidirect
5. #13131009C2semidirect
6. #13131008C2semidirect
7. #13131007C2semidirect
8. #13131007C2semidirect
9. #13131006C2semidirect
10. #13131005C2semidirect
75. C2×#6122Q8semidirect
81. C22×#1057Q8semidirect
608. C13#21304semidirect

Maximal subgroups

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

subgroupindex
C2×#117190672
C2×#117190622
#131310102
#131310092
#131310082
#131310072
#131310062
#131310052
#131305022
#131304992
C2×#117182902
C2×#117193272
#2130413