Finite Group Databasebeta

← C113×#23969 #43291989

Subgroups — C113×#23969 #43291989

Order 28928.

1474 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#554×C113C211yesmaximal, characteristic, complemented
2C2×#450×C113C211yesmaximal, characteristic, complemented
3C22×#102×C113C211yesmaximal, characteristic, complemented
4C113×#2408C211yesmaximal, characteristic
5C113×#2023C212yesmaximal, complemented
6C113×#2000C212yesmaximal, complemented
7C113×#1892C211yesmaximal, characteristic, complemented
8C113×#1880C212yesmaximal, complemented
9C113×#1874C212yesmaximal, complemented
10C113×#1869C211yesmaximal, characteristic, complemented
11C113×#1824C211yesmaximal, characteristic, complemented
12C23×D4×C113C2211yescharacteristic
13C22×SD16×C113C2212yes—
14C23×C8×C113C2211yescharacteristic
15#554×C113—24no—
16#554×C113—24no—
17C2×C4⋊Q8×C113C2211yescharacteristic, complemented
18C2×#125×C113—21no—
19C2×C22⋊Q8×C113—21no—
20C2×C22⋊Q8×C113—21no—
21C2×C22⋊Q8×C113C2211yescharacteristic
22C2×C22⋊Q8×C113C2211yescharacteristic, complemented
23C2×#121×C113C2212yes—
24C2×#120×C113—21no—
25C2×C4×Q8×C113C2211yescharacteristic, complemented
26C2×C4×D4×C113—21no—
27C2×C4×D4×C113C2211yescharacteristic
28C22×C4⋊C4×C113C2211yescharacteristic
29C22×C4⋊C4×C113C2211yescharacteristic, complemented
30#450×C113—24no—
31C2×#103×C113C2212yescomplemented
32C2×#102×C113—24no—
33C2×#102×C113C2212yes—
34C2×#102×C113C2212yes—
35C2×#102×C113C2212yes—
36C2×C22⋊C8×C113C2211yescharacteristic
37C2×C22⋊C8×C113C2212yescomplemented
38#394×C113—21no—
39#392×C113—21no—
40#390×C113C2212yes—
41#380×C113C2211yescharacteristic
42#379×C113—21no—
43#340×C113C2212yescomplemented
44#340×C113C2212yescomplemented
45#340×C113C2212yescomplemented
46#336×C113C2212yescomplemented
47C25×C113—21no—
48C22×Q8×C113—21no—
49C22×Q8×C113C2311yescharacteristic
50C22×D4×C113—24no—
51C22×D4×C113—22no—
52C22×D4×C113—22no—
53C22×D4×C113—22no—
54C22×D4×C113—21no—
55C22×D4×C113—42no—
56C22×D4×C113D411yescharacteristic
57C22×D4×C113C2312yes—
58C23×C4×C113—21no—
59C23×C4×C113—21no—
60C23×C4×C113C2311yescharacteristic
61C23×C4×C113C2311yescharacteristic
62C2×SD16×C113—24no—
63C2×SD16×C113—24no—
64C2×SD16×C113—42no—
65C22×C8×C113—22no—
66C22×C8×C113—42no—
67C22×C8×C113C2312yes—
68C22×C8×C113C2312yes—
69C4⋊Q8×C113—22no—
70C4⋊Q8×C113—22no—
71#125×C113—28no—
72C22⋊Q8×C113—28no—
73C22⋊Q8×C113—28no—
74C22⋊Q8×C113—22no—
75C22⋊Q8×C113—22no—
76C22⋊Q8×C113—22no—
77C22⋊Q8×C113D414yescomplemented
78#121×C113—24no—
79#121×C113—42no—
80#120×C113—44no—
81C4×Q8×C113—22no—
82C4×Q8×C113—22no—
83C4×D4×C113—28no—
84C4×D4×C113—22no—
85C4×D4×C113—22no—
86C2×C4⋊C4×C113—21no—
87C2×C4⋊C4×C113—22no—
88C2×C4⋊C4×C113—21no—
89C2×C4⋊C4×C113—21no—
90C2×C4⋊C4×C113—21no—
91C2×C4⋊C4×C113—21no—
92C2×C4⋊C4×C113—21no—
93C2×C4⋊C4×C113—22no—
94C2×C4⋊C4×C113—22no—
95C2×C4⋊C4×C113D411yescharacteristic
96C2×C4⋊C4×C113D414yescomplemented
97C2×C4⋊C4×C113C2312yes—
98C2×C4⋊C4×C113C2311yescharacteristic
99C2×C4⋊C4×C113C2311yescharacteristic
100C2×C4⋊C4×C113C2311yescharacteristic
101C2×C22⋊C4×C113—21no—
102C2×C22⋊C4×C113—21no—
103C2×C22⋊C4×C113—21no—
104C2×C22⋊C4×C113—22no—
105C2×C22⋊C4×C113—22no—
106C2×C22⋊C4×C113—22no—
107C2×C22⋊C4×C113D411yescharacteristic
108C2×C22⋊C4×C113D411yescharacteristic
109C2×C42×C113—21no—
110C2×C42×C113C2311yescharacteristic
111#103×C113—42no—
112#102×C113—24no—
113#102×C113—24no—
114#102×C113—24no—
115C22⋊C8×C113—22no—
116C22⋊C8×C113—42no—
117#95×C113—21no—
118C24×C113—22no—
119C24×C113—44no—
120C24×C113—42no—
121C24×C113—42no—
122C24×C113—42no—
123C24×C113—82no—
124C24×C113C2×D411yescharacteristic
125C24×C113C2×D411yescharacteristic
126C2×Q8×C113—24no—
127C2×Q8×C113—21no—
128C2×Q8×C113—22no—
129C2×Q8×C113—22no—
130C2×Q8×C113—82no—
131C2×Q8×C113C2×D412yes—
132C2×D4×C113—22no—
133C2×D4×C113—22no—
134C2×D4×C113—28no—
135C2×D4×C113—22no—
136C2×D4×C113—22no—
137C2×D4×C113—22no—
138C2×D4×C113—22no—
139C2×D4×C113—22no—
140C2×D4×C113—48no—
141C2×D4×C113—44no—
142C2×D4×C113—44no—
143C2×D4×C113—44no—
144C2×D4×C113—44no—
145C2×D4×C113—42no—
146C2×D4×C113—82no—
147C2×D4×C113SD1614yescomplemented
148C2×D4×C113#4114yes—
149C22×C4×C113—22no—
150C22×C4×C113—22no—
151C22×C4×C113—21no—
152C22×C4×C113—21no—
153C22×C4×C113—21no—
154C22×C4×C113—21no—
155C22×C4×C113—24no—
156C22×C4×C113—24no—
157C22×C4×C113—21no—
158C22×C4×C113—21no—
159C22×C4×C113—22no—
160C22×C4×C113—22no—
161C22×C4×C113—22no—
162C22×C4×C113—82no—
163C22×C4×C113—82no—
164C22×C4×C113C2×D411yescharacteristic
165C22×C4×C113C2×D411yescharacteristic
166C22×C4×C113C2×D411yescharacteristic
167C22×C4×C113C2×D412yes—
168C22×C4×C113C2×D412yes—
169C22×C4×C113C2×D411yescharacteristic
170C22×C4×C113C2411yescharacteristic
171SD16×C113—48no—
172C2×C8×C113—22no—
173C2×C8×C113—22no—
174C2×C8×C113—22no—
175C2×C8×C113—22no—
176C2×C8×C113—22no—
177C2×C8×C113—22no—
178C2×C8×C113—44no—
179C4⋊C4×C113—24no—
180C4⋊C4×C113—24no—
181C4⋊C4×C113—24no—
182C4⋊C4×C113—24no—
183C4⋊C4×C113—24no—
184C4⋊C4×C113—24no—
185C4⋊C4×C113—22no—
186C4⋊C4×C113—21no—
187C4⋊C4×C113—21no—
188C4⋊C4×C113—21no—
189C4⋊C4×C113—22no—
190C4⋊C4×C113—22no—
191C4⋊C4×C113C2×D412yes—
192C4⋊C4×C113C2×D412yes—
193C4⋊C4×C113C2×D412yes—
194C22⋊C4×C113—24no—
195C22⋊C4×C113—24no—
196C22⋊C4×C113—22no—
197C22⋊C4×C113—22no—
198C22⋊C4×C113—44no—
199C22⋊C4×C113—42no—
200C22⋊C4×C113—44no—
201C22⋊C4×C113—82no—
202C42×C113—24no—
203C42×C113—21no—
204C42×C113—21no—
205C23×C113—22no—
206C23×C113—22no—
207C23×C113—21no—
208C23×C113—22no—
209C23×C113—21no—
210C23×C113—22no—
211C23×C113—24no—
212C23×C113—48no—
213C23×C113—42no—
214C23×C113—42no—
215C23×C113—42no—
216C23×C113—42no—
217C23×C113—42no—
218C23×C113—42no—
219C23×C113—88no—
220C23×C113—88no—
221C23×C113—84no—
222C23×C113—84no—
223C23×C113#12012yes—
224C23×C113C2×SD1612yes—
225C23×C113C2×SD1612yes—
226C23×C113#13712yes—
227C23×C113C22×D411yescharacteristic
228Q8×C113—24no—
229Q8×C113—41no—
230Q8×C113—41no—
231Q8×C113—84no—
232D4×C113—28no—
233D4×C113—24no—
234D4×C113—24no—
235D4×C113—48no—
236D4×C113—42no—
237D4×C113—42no—
238D4×C113—88no—
239C2×C4×C113—21no—
240C2×C4×C113—22no—
241C2×C4×C113—21no—
242C2×C4×C113—22no—
243C2×C4×C113—22no—
244C2×C4×C113—24no—
245C2×C4×C113—22no—
246C2×C4×C113—21no—
247C2×C4×C113—22no—
248C2×C4×C113—21no—
249C2×C4×C113—22no—
250C2×C4×C113—22no—
251C2×C4×C113—22no—
252C2×C4×C113—22no—
253C2×C4×C113—42no—
254C2×C4×C113—42no—
255C2×C4×C113—42no—
256C2×C4×C113—42no—
257C2×C4×C113—41no—
258C2×C4×C113—41no—
259C2×C4×C113—42no—
260C2×C4×C113—42no—
261C2×C4×C113—42no—
262C2×C4×C113—42no—
263C2×C4×C113—84no—
264C2×C4×C113—84no—
265C2×C4×C113#12012yes—
266C2×C4×C113C2×SD1612yes—
267C2×C4×C113C22×D411yescharacteristic
268C2×C4×C113C22×D411yescharacteristic
269C2×C4×C113C2×#4112yes—
270C2×C4×C113H(5,𝔽2)12yes—
271C8×C113—42no—
272C8×C113—42no—
273C22×C113—22no—
274C22×C113—22no—
275C22×C113—24no—
276C22×C113—24no—
277C22×C113—22no—
278C22×C113—24no—
279C22×C113—41no—
280C22×C113—41no—
281C22×C113—42no—
282C22×C113—44no—
283C22×C113—44no—
284C22×C113—44no—
285C22×C113—816no—
286C22×C113—82no—
287C22×C113—82no—
288C22×C113—82no—
289C22×C113—82no—
290C22×C113#44814yes—
291C22×C113C2×#12011yescharacteristic
292C22×C113#54612yes—
293C22×C113C22×SD1611yescharacteristic
294C22×C113C2×#13711yescharacteristic
295C22×C113#57612yes—
296C4×C113—22no—
297C4×C113—22no—
298C4×C113—41no—
299C4×C113—42no—
300C4×C113—41no—
301C4×C113—42no—
302C4×C113—42no—
303C4×C113—42no—
304C4×C113—82no—
305C4×C113#52511yescharacteristic
306C4×C113#53511yescharacteristic
307C4×C113#54612yes—
308#23969C11311yesmaximal, characteristic, direct product factor, Sylow
309C2×C113—24no—
310C2×C113—42no—
311C2×C113—84no—
312C2×C113#240411yescharacteristic
313C2×C113C2×#44811yescharacteristic
314C2×C113#300811yescharacteristic
315C2×C113#329512yes—
316C2×C113#331412yes—
317C2×#554C2×C11311yescharacteristic, complemented
318C2×#450C2×C11311yescharacteristic, complemented
319C22×#102C2×C11311yescharacteristic, complemented
320#2408C2×C11311yescharacteristic
321#2023C2×C11312yescomplemented
322#2000C2×C11312yescomplemented
323#1892C2×C11311yescharacteristic, complemented
324#1880C2×C11312yescomplemented
325#1874C2×C11312yescomplemented
326#1869C2×C11311yescharacteristic, complemented
327#1824C2×C11311yescharacteristic, complemented
328C113#2396911yescharacteristic, direct product factor, Sylow
329C23×D4C22×C11311yescharacteristic
330C22×SD16C22×C11312yes—
331C23×C8C22×C11311yescharacteristic
332#554—24no—
333#554—24no—
334C2×C4⋊Q8C22×C11311yescharacteristic, complemented
335C2×#125—21no—
336C2×C22⋊Q8—21no—
337C2×C22⋊Q8—21no—
338C2×C22⋊Q8C22×C11311yescharacteristic
339C2×C22⋊Q8C22×C11311yescharacteristic, complemented
340C2×#121C22×C11312yes—
341C2×#120—21no—
342C2×C4×Q8C22×C11311yescharacteristic, complemented
343C2×C4×D4—21no—
344C2×C4×D4C22×C11311yescharacteristic
345C22×C4⋊C4C22×C11311yescharacteristic
346C22×C4⋊C4C22×C11311yescharacteristic, complemented
347#450—24no—
348C2×#103C22×C11312yescomplemented
349C2×#102—24no—
350C2×#102C22×C11312yes—
351C2×#102C22×C11312yes—
352C2×#102C22×C11312yes—
353C2×C22⋊C8C22×C11311yescharacteristic
354C2×C22⋊C8C22×C11312yescomplemented
355#394—21no—
356#392—21no—
357#390C22×C11312yes—
358#380C22×C11311yescharacteristic
359#379—21no—
360#340C22×C11312yescomplemented
361#340C22×C11312yescomplemented
362#340C22×C11312yescomplemented
363#336C22×C11312yescomplemented
364C25—21no—
365C22×Q8—21no—
366C22×Q8C23×C11311yescharacteristic
367C22×D4—24no—
368C22×D4—22no—
369C22×D4—22no—
370C22×D4—22no—
371C22×D4—21no—
372C22×D4—42no—
373C22×D4D4×C11311yescharacteristic
374C22×D4C23×C11312yes—
375C23×C4—21no—
376C23×C4—21no—
377C23×C4C23×C11311yescharacteristic
378C23×C4C23×C11311yescharacteristic
379C2×SD16—24no—
380C2×SD16—24no—
381C2×SD16—42no—
382C22×C8—22no—
383C22×C8—42no—
384C22×C8C23×C11312yes—
385C22×C8C23×C11312yes—
386C4⋊Q8—22no—
387C4⋊Q8—22no—
388#125—28no—
389C22⋊Q8—28no—
390C22⋊Q8—28no—
391C22⋊Q8—22no—
392C22⋊Q8—22no—
393C22⋊Q8—22no—
394C22⋊Q8D4×C11314yescomplemented
395#121—24no—
396#121—42no—
397#120—44no—
398C4×Q8—22no—
399C4×Q8—22no—
400C4×D4—28no—
401C4×D4—22no—
402C4×D4—22no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—22no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4D4×C11311yescharacteristic
413C2×C4⋊C4D4×C11314yescomplemented
414C2×C4⋊C4C23×C11312yes—
415C2×C4⋊C4C23×C11311yescharacteristic
416C2×C4⋊C4C23×C11311yescharacteristic
417C2×C4⋊C4C23×C11311yescharacteristic
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—22no—
422C2×C22⋊C4—22no—
423C2×C22⋊C4—22no—
424C2×C22⋊C4D4×C11311yescharacteristic
425C2×C22⋊C4D4×C11311yescharacteristic
426C2×C42—21no—
427C2×C42C23×C11311yescharacteristic
428#103—42no—
429#102—24no—
430#102—24no—
431#102—24no—
432C22⋊C8—22no—
433C22⋊C8—42no—
434#95—21no—
435C24—22no—
436C24—44no—
437C24—42no—
438C24—42no—
439C24—42no—
440C24—82no—
441C24C2×D4×C11311yescharacteristic
442C24C2×D4×C11311yescharacteristic
443C2×Q8—24no—
444C2×Q8—21no—
445C2×Q8—22no—
446C2×Q8—22no—
447C2×Q8—82no—
448C2×Q8C2×D4×C11312yes—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—28no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—48no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—42no—
463C2×D4—82no—
464C2×D4SD16×C11314yescomplemented
465C2×D4#41×C11314yes—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—82no—
480C22×C4—82no—
481C22×C4C2×D4×C11311yescharacteristic
482C22×C4C2×D4×C11311yescharacteristic
483C22×C4C2×D4×C11311yescharacteristic
484C22×C4C2×D4×C11312yes—
485C22×C4C2×D4×C11312yes—
486C22×C4C2×D4×C11311yescharacteristic
487C22×C4C24×C11311yescharacteristic
488SD16—48no—
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—22no—
492C2×C8—22no—
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—44no—
496C4⋊C4—24no—
497C4⋊C4—24no—
498C4⋊C4—24no—
499C4⋊C4—24no—
500C4⋊C4—24no—
501C4⋊C4—24no—
502C4⋊C4—22no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—22no—
507C4⋊C4—22no—
508C4⋊C4C2×D4×C11312yes—
509C4⋊C4C2×D4×C11312yes—
510C4⋊C4C2×D4×C11312yes—
511C22⋊C4—24no—
512C22⋊C4—24no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C22⋊C4—44no—
516C22⋊C4—42no—
517C22⋊C4—44no—
518C22⋊C4—82no—
519C42—24no—
520C42—21no—
521C42—21no—
522C23—22no—
523C23—22no—
524C23—21no—
525C23—22no—
526C23—21no—
527C23—22no—
528C23—24no—
529C23—48no—
530C23—42no—
531C23—42no—
532C23—42no—
533C23—42no—
534C23—42no—
535C23—42no—
536C23—88no—
537C23—88no—
538C23—84no—
539C23—84no—
540C23#120×C11312yes—
541C23C2×SD16×C11312yes—
542C23C2×SD16×C11312yes—
543C23#137×C11312yes—
544C23C22×D4×C11311yescharacteristic
545Q8—24no—
546Q8—41no—
547Q8—41no—
548Q8—84no—
549D4—28no—
550D4—24no—
551D4—24no—
552D4—48no—
553D4—42no—
554D4—42no—
555D4—88no—
556C2×C4—21no—
557C2×C4—22no—
558C2×C4—21no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—22no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—42no—
571C2×C4—42no—
572C2×C4—42no—
573C2×C4—42no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—42no—
577C2×C4—42no—
578C2×C4—42no—
579C2×C4—42no—
580C2×C4—84no—
581C2×C4—84no—
582C2×C4#120×C11312yes—
583C2×C4C2×SD16×C11312yes—
584C2×C4C22×D4×C11311yescharacteristic
585C2×C4C22×D4×C11311yescharacteristic
586C2×C4C2×#41×C11312yes—
587C2×C4H(5,𝔽2)×C11312yes—
588C8—42no—
589C8—42no—
590C22—24no—
591C22—22no—
592C22—22no—
593C22—24no—
594C22—22no—
595C22—24no—
596C22—42no—
597C22—41no—
598C22—41no—
599C22—44no—
600C22—44no—
601C22—44no—
602C22—816no—
603C22—82no—
604C22—82no—
605C22—82no—
606C22—82no—
607C22#448×C11314yes—
608C22C2×#120×C11311yescharacteristic
609C22#546×C11312yes—
610C22C22×SD16×C11311yescharacteristic
611C22C2×#137×C11311yescharacteristic
612C22#576×C11312yes—
613C4—22no—
614C4—22no—
615C4—41no—
616C4—42no—
617C4—41no—
618C4—42no—
619C4—42no—
620C4—42no—
621C4—82no—
622C4#525×C11311yescharacteristic
623C4#535×C11311yescharacteristic
624C4#546×C11312yes—
625C2—24no—
626C2—42no—
627C2—84no—
628C2C113×#240411yescharacteristic
629C2C2×#448×C11311yescharacteristic
630C2C113×#300811yescharacteristic
631C2C113×#329512yes—
632C2C113×#331412yes—
subgroupG/H
center, socleC23×C113C22×D4
commutator, Frattini, cosocleC22×C4C24×C113
prime radicalC113×#2408C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C113 ◁ C2×C4×D4×C113 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#554×C113C2semidirect
2. C2×#450×C113C2semidirect
3. C22×#102×C113C2semidirect
5. C113×#2023C2semidirect
6. C113×#2000C2semidirect
7. C113×#1892C2semidirect
8. C113×#1880C2semidirect
9. C113×#1874C2semidirect
10. C113×#1869C2semidirect
11. C113×#1824C2semidirect
17. C2×C4⋊Q8×C113C22semidirect
22. C2×C22⋊Q8×C113C22semidirect
25. C2×C4×Q8×C113C22semidirect
29. C22×C4⋊C4×C113C22semidirect
31. C2×#103×C113C22semidirect
37. C2×C22⋊C8×C113C22semidirect
43. #340×C113C22semidirect
44. #340×C113C22semidirect
45. #340×C113C22semidirect
46. #336×C113C22semidirect
77. C22⋊Q8×C113D4semidirect
96. C2×C4⋊C4×C113D4semidirect
147. C2×D4×C113SD16semidirect
308. #23969C113direct (N × H)
317. C2×#554C2×C113semidirect
318. C2×#450C2×C113semidirect
319. C22×#102C2×C113semidirect
321. #2023C2×C113semidirect
322. #2000C2×C113semidirect
323. #1892C2×C113semidirect
324. #1880C2×C113semidirect
325. #1874C2×C113semidirect
326. #1869C2×C113semidirect
327. #1824C2×C113semidirect
328. C113#23969direct (N × H)
334. C2×C4⋊Q8C22×C113semidirect
339. C2×C22⋊Q8C22×C113semidirect
342. C2×C4×Q8C22×C113semidirect
346. C22×C4⋊C4C22×C113semidirect
348. C2×#103C22×C113semidirect
354. C2×C22⋊C8C22×C113semidirect
360. #340C22×C113semidirect
361. #340C22×C113semidirect
362. #340C22×C113semidirect
363. #336C22×C113semidirect
394. C22⋊Q8D4×C113semidirect
413. C2×C4⋊C4D4×C113semidirect
464. C2×D4SD16×C113semidirect

Maximal subgroups

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

subgroupindex
C2×#554×C1132
C2×#450×C1132
C22×#102×C1132
C113×#24082
C113×#20232
C113×#20002
C113×#18922
C113×#18802
C113×#18742
C113×#18692
C113×#18242
#23969113