Finite Group Databasebeta

← #15799715

Subgroups — #15799715

Order 3328.

1106 conjugacy classes of subgroups.

The subgroup lattice has 832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C13⋊#401C211yesmaximal, characteristic
2C2×C13⋊#401C211yesmaximal, characteristic
3#13113098C211yesmaximal, characteristic
4#13113097C211yesmaximal, characteristic
5#13113097C211yesmaximal, characteristic
6#13113096C211yesmaximal, characteristic
7#13113096C211yesmaximal, characteristic
8#13113064C211yesmaximal, characteristic
9#13113064C211yesmaximal, characteristic
10#13113064C211yesmaximal, characteristic
11#13113064C211yesmaximal, characteristic
12#13113064C211yesmaximal, characteristic
13#13113064C211yesmaximal, characteristic
14#95×Dic13C211yesmaximal, characteristic
15C13×#1443C211yesmaximal, characteristic
16C22×#6101C2211yescharacteristic
17C22×#6101C2211yescharacteristic
18C22×#6101C2211yescharacteristic
19C22×#6101C2211yescharacteristic
20C22×C4×Dic13C2211yescharacteristic
21C22×C4×Dic13C2211yescharacteristic
22C22×C4×Dic13C2211yescharacteristic
23C2×C13×#95C2211yescharacteristic
24C2×C13×#95C2211yescharacteristic
25C2×C13×#95C2211yescharacteristic
26C2×C13×#95C2211yescharacteristic
27C2×C13×#95C2211yescharacteristic
28C2×C13×#95C2211yescharacteristic
29C2×C13×#95C2211yescharacteristic
30C2×#88071C2211yescharacteristic
31C2×#88071C2211yescharacteristic
32C2×#88071C2211yescharacteristic
33C2×#88071C2211yescharacteristic
34C2×#88071C2211yescharacteristic
35C2×#88071C2211yescharacteristic
36C2×#88071C2211yescharacteristic
37C2×#88071C2211yescharacteristic
38C2×#88071C2211yescharacteristic
39C2×#88071C2211yescharacteristic
40C2×#88071C2211yescharacteristic
41C2×#88071C2211yescharacteristic
42C2×#88071C2211yescharacteristic
43C2×#88071C2211yescharacteristic
44C2×#88071C2211yescharacteristic
45C2×#88071C2211yescharacteristic
46C2×#88071C2211yescharacteristic
47C2×#88071C2211yescharacteristic
48C2×#88071C2211yescharacteristic
49C2×#88071C2211yescharacteristic
50C2×#88071C2211yescharacteristic
51C13⋊#401—24no—
52C13⋊#401—24no—
53C23×C4×C13C2311yescharacteristic
54C23×C4×C13C2311yescharacteristic
55C23×C4×C13C2311yescharacteristic
56C23×C4×C13C2311yescharacteristic
57C23×C4×C13C2311yescharacteristic
58C23×C4×C13C2311yescharacteristic
59C23×C4×C13C2311yescharacteristic
60C23×Dic13C2311yescharacteristic
61C23×Dic13C2311yescharacteristic
62C23×Dic13C2311yescharacteristic
63C23×Dic13C2311yescharacteristic
64C23×Dic13C2311yescharacteristic
65C23×Dic13C2311yescharacteristic
66C23×Dic13C2311yescharacteristic
67C23×Dic13C2311yescharacteristic
68C2×#6101—22no—
69C2×#6101—22no—
70C2×#6101—22no—
71C2×#6101—22no—
72C2×#6101—22no—
73C2×#6101—22no—
74C2×#6101—22no—
75C2×#6101—22no—
76C2×#6101—22no—
77C2×#6101—22no—
78C2×#6101—22no—
79C2×#6101—22no—
80C2×C4×Dic13—22no—
81C2×C4×Dic13—22no—
82C2×C4×Dic13—22no—
83C2×C4×Dic13—22no—
84C2×C4×Dic13—22no—
85C2×C4×Dic13—22no—
86C2×C4×Dic13—22no—
87C2×C4×Dic13—22no—
88C2×C4×Dic13—22no—
89C13×#95—22no—
90C13×#95—22no—
91C13×#95—22no—
92C13×#95—22no—
93C13×#95—22no—
94C13×#95—41no—
95C13×#95—41no—
96#88071—22no—
97#88071—22no—
98#88071—22no—
99#88071—22no—
100#88071—22no—
101#88071—22no—
102#88071—22no—
103#88071—22no—
104#88071—22no—
105#88071—22no—
106#88071—22no—
107#88071—22no—
108#88071—22no—
109#88071—22no—
110#88071—22no—
111#88071—22no—
112#88071—41no—
113#88071—41no—
114#88071—41no—
115#88071—41no—
116#88071D414yes—
117C4⋊#401—131nomaximal, Sylow
118C24×C13C2411yescharacteristic
119C22×C4×C13—21no—
120C22×C4×C13—21no—
121C22×C4×C13—21no—
122C22×C4×C13—21no—
123C22×C4×C13—21no—
124C22×C4×C13—21no—
125C22×C4×C13—21no—
126C22×C4×C13—21no—
127C22×C4×C13—21no—
128C22×C4×C13—21no—
129C22×C4×C13—21no—
130C22×C4×C13—21no—
131C22×C4×C13—21no—
132C22×C4×C13—21no—
133C22×C4×C13—21no—
134C22×C4×C13—21no—
135C22×C4×C13—21no—
136C22×C4×C13—21no—
137C22×C4×C13—21no—
138C22×C4×C13—21no—
139C22×C4×C13—21no—
140C22×C4×C13—21no—
141C22×C4×C13—21no—
142C22×C4×C13—21no—
143C22×C4×C13—21no—
144C22×C4×C13—21no—
145C22×C4×C13—21no—
146C22×C4×C13—21no—
147C22×C4×C13—21no—
148C22×C4×C13—21no—
149C22×C4×C13—21no—
150C22×C4×C13—21no—
151C22×C4×C13—21no—
152C22×C4×C13—21no—
153C22×C4×C13—21no—
154C22×C4×C13—21no—
155C22×C4×C13—21no—
156C22×C4×C13—21no—
157C22×C4×C13—21no—
158C22×C4×C13—21no—
159C22×C4×C13—21no—
160C22×C4×C13—21no—
161C22×C4×C13—21no—
162C22×C4×C13—21no—
163C22×C4×C13—21no—
164C22×C4×C13—21no—
165C22×C4×C13C2×D412yes—
166C22×C4×C13#4112yes—
167C22×C4×C13#4112yes—
168C22×Dic13—21no—
169C22×Dic13—21no—
170C22×Dic13—21no—
171C22×Dic13—21no—
172C22×Dic13—21no—
173C22×Dic13—21no—
174C22×Dic13—21no—
175C22×Dic13—21no—
176C22×Dic13—21no—
177C22×Dic13—21no—
178C22×Dic13—21no—
179C22×Dic13—21no—
180C22×Dic13—21no—
181C22×Dic13—21no—
182C22×Dic13—21no—
183C22×Dic13—21no—
184C22×Dic13—21no—
185C22×Dic13—21no—
186C22×Dic13—21no—
187C22×Dic13—21no—
188C22×Dic13—21no—
189C22×Dic13—21no—
190C22×Dic13—21no—
191C22×Dic13—21no—
192C22×Dic13—21no—
193C22×Dic13—21no—
194C22×Dic13—21no—
195C22×Dic13—21no—
196C22×Dic13—21no—
197C22×Dic13—21no—
198C22×Dic13—21no—
199C22×Dic13—21no—
200C22×Dic13—21no—
201C22×Dic13—21no—
202C22×Dic13—21no—
203C22×Dic13—21no—
204C22×Dic13—21no—
205C22×Dic13—21no—
206C22×Dic13—21no—
207C22×Dic13—21no—
208C22×Dic13—21no—
209C22×Dic13—21no—
210C22×Dic13—21no—
211C22×Dic13—21no—
212C22×Dic13—21no—
213C22×Dic13—21no—
214C22×Dic13C2×D412yes—
215C22×Dic13C2×D412yes—
216C22×Dic13#4112yes—
217C22×Dic13#4112yes—
218C22×Dic13#4112yes—
219C22×Dic13#4112yes—
220C22×Dic13#4112yes—
221C22×Dic13#4112yes—
222C22×Dic13#4112yes—
223C22×Dic13#4112yes—
224#6101—44no—
225#6101—44no—
226#6101—44no—
227#6101—44no—
228C4×Dic13—44no—
229C4×Dic13—44no—
230C4×Dic13—44no—
231C2×#401—131no—
232C2×#401—131no—
233#1443—131no—
234#1443—131no—
235#1443—131no—
236#1443—131no—
237#1443—131no—
238#1443D1311yescharacteristic
239C4⋊#95—131no—
240C4⋊#95—131no—
241C4⋊#95—131no—
242C4⋊#95—131no—
243C4⋊#95—131no—
244C4⋊#95—131no—
245C4×#95—131no—
246C23×C13C22×D411yescharacteristic
247C23×C13C2×#4111yescharacteristic
248C23×C13C2×#4111yescharacteristic
249C23×C13C2×#4111yescharacteristic
250C23×C13C2×#4111yescharacteristic
251C23×C13C2×#4111yescharacteristic
252C23×C13C2×#4111yescharacteristic
253C23×C13C2×#4111yescharacteristic
254C23×C13C2×#4111yescharacteristic
255C23×C13C2×#4111yescharacteristic
256C23×C13C2×#4111yescharacteristic
257C23×C13H(5,𝔽2)11yescharacteristic
258C23×C132−1+411yescharacteristic
259C23×C132−1+411yescharacteristic
260C23×C132−1+411yescharacteristic
261C2×C4×C13—22no—
262C2×C4×C13—22no—
263C2×C4×C13—22no—
264C2×C4×C13—22no—
265C2×C4×C13—22no—
266C2×C4×C13—22no—
267C2×C4×C13—22no—
268C2×C4×C13—22no—
269C2×C4×C13—22no—
270C2×C4×C13—41no—
271C2×C4×C13—41no—
272C2×C4×C13—41no—
273C2×C4×C13—41no—
274C2×C4×C13—41no—
275C2×C4×C13—41no—
276C2×C4×C13—41no—
277C2×C4×C13—41no—
278C2×C4×C13—41no—
279C2×C4×C13—41no—
280C2×C4×C13—41no—
281C2×C4×C13—41no—
282C2×C4×C13—41no—
283C2×C4×C13—41no—
284C2×C4×C13—41no—
285C2×C4×C13—41no—
286C2×C4×C13—41no—
287C2×C4×C13—41no—
288C2×C4×C13—41no—
289C2×C4×C13—41no—
290C2×C4×C13—41no—
291C2×C4×C13—41no—
292C2×C4×C13—41no—
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—41no—
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—41no—
309C2×C4×C13—41no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—22no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—41no—
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—
329C2×Dic13—41no—
330C2×Dic13—41no—
331C2×Dic13—41no—
332C2×Dic13—41no—
333C2×Dic13—41no—
334C2×Dic13—41no—
335C2×Dic13—41no—
336C2×Dic13—41no—
337C2×Dic13—41no—
338C2×Dic13—41no—
339C2×Dic13—41no—
340C2×Dic13—41no—
341C2×Dic13—41no—
342C2×Dic13—41no—
343C2×Dic13—41no—
344C2×Dic13—41no—
345C2×Dic13—41no—
346C2×Dic13—41no—
347C2×Dic13—41no—
348C2×Dic13—41no—
349C2×Dic13—41no—
350C2×Dic13—41no—
351C2×Dic13—41no—
352C2×Dic13—41no—
353C2×Dic13—41no—
354C2×Dic13—41no—
355C2×Dic13—41no—
356C2×Dic13—41no—
357C2×Dic13—41no—
358C2×Dic13—41no—
359C2×Dic13#12614yes—
360C2×Dic13#12614yes—
361C2×Dic13#12614yes—
362C2×Dic13#12614yes—
363C2×Dic13#12614yes—
364C2×Dic13#12614yes—
365C2×Dic13#12614yes—
366C22×C4⋊C4—131no—
367C22×C4⋊C4—131no—
368C22×C4⋊C4—131no—
369C22×C4⋊C4—131no—
370C22×C42—131no—
371C22×C42—131no—
372C22×C42—131no—
373#401—264no—
374#401—264no—
375C2×#95—131no—
376C2×#95—131no—
377C2×#95—131no—
378C2×#95—131no—
379C2×#95—131no—
380C2×#95—131no—
381C2×#95—131no—
382C2×#95—131no—
383C2×#95—131no—
384C2×#95—131no—
385C2×#95—131no—
386C2×#95—131no—
387C2×#95—131no—
388C2×#95—131no—
389C2×#95—131no—
390C2×#95—131no—
391C2×#95—131no—
392C2×#95—131no—
393C2×#95—131no—
394C2×#95—131no—
395C2×#95—131no—
396C2×#95C2×D1311yescharacteristic
397C2×#95C2×D1311yescharacteristic
398C2×#95C2×D1311yescharacteristic
399C2×#95C2×D1311yescharacteristic
400C2×#95C2×D1311yescharacteristic
401C2×#95C2×D1311yescharacteristic
402C2×#95C2×D1311yescharacteristic
403C22×C13C2×#12611yescharacteristic
404C22×C13C2×#12611yescharacteristic
405C22×C13C2×#12611yescharacteristic
406C22×C13C2×#12611yescharacteristic
407C22×C13C2×#12611yescharacteristic
408C22×C13C2×#12611yescharacteristic
409C22×C13C2×#12611yescharacteristic
410C22×C13#52911yescharacteristic
411C22×C13#52911yescharacteristic
412C22×C13#52911yescharacteristic
413C22×C13#53211yescharacteristic
414C22×C13#53211yescharacteristic
415C22×C13#53211yescharacteristic
416C22×C13#54111yescharacteristic
417C22×C13#54111yescharacteristic
418C22×C13#54111yescharacteristic
419C22×C13#54211yescharacteristic
420C22×C13#54211yescharacteristic
421C22×C13#54211yescharacteristic
422C22×C13#54711yescharacteristic
423C22×C13#54711yescharacteristic
424C22×C13#54711yescharacteristic
425C22×C13#55011yescharacteristic
426C22×C13#55211yescharacteristic
427C22×C13#55211yescharacteristic
428C22×C13#55211yescharacteristic
429C22×C13#55311yescharacteristic
430C22×C13#55311yescharacteristic
431C22×C13#55311yescharacteristic
432C22×C13#55611yescharacteristic
433C22×C13#55611yescharacteristic
434C22×C13#55611yescharacteristic
435C22×C13#55611yescharacteristic
436C22×C13#55611yescharacteristic
437C22×C13#55611yescharacteristic
438C4×C13—42no—
439C4×C13—42no—
440C4×C13—42no—
441C4×C13—81no—
442C4×C13—81no—
443C4×C13—81no—
444C4×C13—81no—
445Dic13—42no—
446Dic13—42no—
447Dic13—42no—
448Dic13—81no—
449Dic13—81no—
450Dic13—81no—
451Dic13—81no—
452Dic13#40118yescomplemented
453C23×C4—131no—
454C23×C4—131no—
455C23×C4—131no—
456C23×C4—131no—
457C23×C4—131no—
458C23×C4—131no—
459C23×C4—131no—
460C23×C4—131no—
461C23×C4C22×D1311yescharacteristic
462C23×C4C22×D1311yescharacteristic
463C23×C4C22×D1311yescharacteristic
464C23×C4C22×D1311yescharacteristic
465C23×C4C22×D1311yescharacteristic
466C23×C4C22×D1311yescharacteristic
467C23×C4C22×D1311yescharacteristic
468C2×C4⋊C4—262no—
469C2×C4⋊C4—262no—
470C2×C4⋊C4—262no—
471C2×C4⋊C4—262no—
472C2×C4⋊C4—262no—
473C2×C4⋊C4—262no—
474C2×C4⋊C4—262no—
475C2×C4⋊C4—262no—
476C2×C4⋊C4—262no—
477C2×C4⋊C4—262no—
478C2×C4⋊C4—262no—
479C2×C4⋊C4—262no—
480C2×C42—262no—
481C2×C42—262no—
482C2×C42—262no—
483C2×C42—262no—
484C2×C42—262no—
485C2×C42—262no—
486C2×C42—262no—
487C2×C42—262no—
488C2×C42—262no—
489#95—22no—
490#95—22no—
491#95—22no—
492#95—22no—
493#95—22no—
494#95—41no—
495#95—41no—
496#95—134no—
497#95—262no—
498#95—262no—
499#95—262no—
500#95—262no—
501#95—262no—
502#95—262no—
503#95—262no—
504#95—262no—
505#95—262no—
506#95—262no—
507#95—262no—
508#95—262no—
509#95—262no—
510#95—262no—
511#95—262no—
512#95—262no—
513#95—521no—
514#95—521no—
515#95—521no—
516#95—521no—
517C2×C13C2×#40111yescharacteristic
518C2×C13#249411yescharacteristic
519C2×C13#249411yescharacteristic
520C2×C13#249411yescharacteristic
521C2×C13#249611yescharacteristic
522C2×C13#249611yescharacteristic
523C2×C13#249611yescharacteristic
524C2×C13#251211yescharacteristic
525C2×C13#251211yescharacteristic
526C2×C13#251211yescharacteristic
527C2×C13#251411yescharacteristic
528C2×C13#251411yescharacteristic
529C2×C13#251411yescharacteristic
530C2×C13#264511yescharacteristic
531C2×C13#286011yescharacteristic
532C24C23×D1311yescharacteristic
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—132no—
580C22×C4—132no—
581C22×C4—132no—
582C22×C4—132no—
583C22×C4—132no—
584C22×C4—132no—
585C22×C4—132no—
586C22×C4—132no—
587C22×C4—132no—
588C22×C4—132no—
589C22×C4—261no—
590C22×C4—261no—
591C22×C4—261no—
592C22×C4—261no—
593C22×C4—261no—
594C22×C4—261no—
595C22×C4—261no—
596C22×C4—261no—
597C22×C4—261no—
598C22×C4—261no—
599C22×C4—261no—
600C22×C4—261no—
601C22×C4—261no—
602C22×C4—261no—
603C22×C4—261no—
604C22×C4—261no—
605C22×C4—261no—
606C22×C4—261no—
607C22×C4—261no—
608C22×C4—261no—
609C22×C4—261no—
610C22×C4—261no—
611C22×C4—261no—
612C22×C4—261no—
613C22×C4—261no—
614C22×C4—261no—
615C22×C4—261no—
616C22×C4—261no—
617C22×C4—261no—
618C22×C4—261no—
619C22×C4—261no—
620C22×C4—261no—
621C22×C4—261no—
622C22×C4—261no—
623C22×C4—261no—
624C22×C4—261no—
625C22×C4—261no—
626C22×C4—261no—
627C22×C4—261no—
628C22×C4—261no—
629C22×C4—261no—
630C22×C4—261no—
631C22×C4—261no—
632C22×C4—261no—
633C22×C4—261no—
634C22×C4—261no—
635C22×C4#612712yes—
636C22×C4D4×D1312yes—
637C22×C4#612912yes—
638C4⋊C4—524no—
639C4⋊C4—524no—
640C4⋊C4—524no—
641C4⋊C4—524no—
642C42—524no—
643C42—524no—
644C42—524no—
645C13C4⋊#40111yescharacteristic, complemented, Sylow
646C23C2×#612711yescharacteristic
647C23C2×D4×D1311yescharacteristic
648C23C2×#612911yescharacteristic
649C23#8825111yescharacteristic
650C23#8825411yescharacteristic
651C23#41×D1311yescharacteristic
652C23#41×D1311yescharacteristic
653C23#41×D1311yescharacteristic
654C23#41×D1311yescharacteristic
655C23#41×D1311yescharacteristic
656C23#41×D1311yescharacteristic
657C23#41×D1311yescharacteristic
658C23#41×D1311yescharacteristic
659C23#8825711yescharacteristic
660C23#8825711yescharacteristic
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—134no—
711C2×C4—134no—
712C2×C4—134no—
713C2×C4—134no—
714C2×C4—134no—
715C2×C4—134no—
716C2×C4—134no—
717C2×C4—262no—
718C2×C4—262no—
719C2×C4—262no—
720C2×C4—262no—
721C2×C4—262no—
722C2×C4—262no—
723C2×C4—262no—
724C2×C4—262no—
725C2×C4—262no—
726C2×C4—521no—
727C2×C4—521no—
728C2×C4—521no—
729C2×C4—521no—
730C2×C4—521no—
731C2×C4—521no—
732C2×C4—521no—
733C2×C4—521no—
734C2×C4—521no—
735C2×C4—521no—
736C2×C4—521no—
737C2×C4—521no—
738C2×C4—521no—
739C2×C4—521no—
740C2×C4—521no—
741C2×C4—521no—
742C2×C4—521no—
743C2×C4—521no—
744C2×C4—521no—
745C2×C4—521no—
746C2×C4—521no—
747C2×C4—521no—
748C2×C4—521no—
749C2×C4—521no—
750C2×C4—521no—
751C2×C4—521no—
752C2×C4—521no—
753C2×C4—521no—
754C2×C4—521no—
755C2×C4—521no—
756C2×C4—521no—
757C2×C4—521no—
758C2×C4—521no—
759C2×C4—521no—
760C2×C4—521no—
761C2×C4—521no—
762C2×C4—521no—
763C2×C4—521no—
764C2×C4—521no—
765C2×C4—521no—
766C22#1171923311yescharacteristic
767C22#1171923611yescharacteristic
768C22#1171923811yescharacteristic
769C22#1171924311yescharacteristic
770C22#1171924511yescharacteristic
771C22#1171925311yescharacteristic
772C22#1171927311yescharacteristic
773C22#1171930111yescharacteristic
774C22#1171930411yescharacteristic
775C22#1171930611yescharacteristic
776C22#1171933611yescharacteristic
777C22#1171934511yescharacteristic
778C22#1171934611yescharacteristic
779C22#1171935411yescharacteristic
780C22#1171935511yescharacteristic
781C22#1171936011yescharacteristic
782C22#1171936011yescharacteristic
783C22#1171936611yescharacteristic
784C22#1171936711yescharacteristic
785C22#1171937311yescharacteristic
786C22#1171937411yescharacteristic
787C22#1171937611yescharacteristic
788C22#1171939811yescharacteristic
789C22#1171940111yescharacteristic
790C22#1171940111yescharacteristic
791C22#1171940611yescharacteristic
792C22#1171940711yescharacteristic
793C22#1171940711yescharacteristic
794C22D13×#12611yescharacteristic
795C22D13×#12611yescharacteristic
796C22D13×#12611yescharacteristic
797C22D13×#12611yescharacteristic
798C22D13×#12611yescharacteristic
799C22D13×#12611yescharacteristic
800C22D13×#12611yescharacteristic
801C4—42no—
802C4—42no—
803C4—42no—
804C4—81no—
805C4—81no—
806C4—81no—
807C4—81no—
808C4—138no—
809C4—522no—
810C4—522no—
811C4—522no—
812C4—1041no—
813C4—1041no—
814C4—1041no—
815C4—1041no—
816C2D13×#40111yescharacteristic
817C2#1311922911yescharacteristic
818C2#1311923311yescharacteristic
819C2#1311923511yescharacteristic
820C2#1311925111yescharacteristic
821C2#1311925311yescharacteristic
822C2#1311925711yescharacteristic
823C2#1311941511yescharacteristic
824C2#1311941711yescharacteristic
825C2#1311941911yescharacteristic
826C2#1311943911yescharacteristic
827C2#1311944111yescharacteristic
828C2#1311944311yescharacteristic
829C2#1312080011yescharacteristic
830C2#1312320211yescharacteristic
subgroupG/H
center, FrattiniC24C23×D13
commutator, socle, prime radical, cosocleC24×C13C24
FittingC13×#1443C2
hypercenter#1443D13
hypocenterC13C4⋊#401
LCSG ▷ C24×C13 ▷ C13
UCSC1 ◁ C24 ◁ #1443

Complements

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

NH ≅ G/Ntype
452. Dic13#401semidirect
645. C13C4⋊#401semidirect

Maximal subgroups

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

subgroupindex
C2×C13⋊#4012
#131130982
#131130972
#131130962
#131130642
#95×Dic132
C13×#14432
C4⋊#40113