Finite Group Databasebeta

← C113×#26739 #43294759

Subgroups — C113×#26739 #43294759

Order 28928.

842 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C113×#2492C211yesmaximal, characteristic, complemented
2C113×#2361C211yesmaximal, characteristic
3C113×#2055C211yesmaximal, characteristic, complemented
4C113×#2034C211yesmaximal, characteristic
5C113×#2023C211yesmaximal, characteristic, complemented
6C113×#2000C211yesmaximal, characteristic
7C113×#1988C211yesmaximal, characteristic, complemented
8C113×#1935C211yesmaximal, characteristic, complemented
9C113×#1927C211yesmaximal, characteristic, complemented
10C113×#1924C211yesmaximal, characteristic, complemented
11C113×#1920C211yesmaximal, characteristic, complemented
12C113×#1877C211yesmaximal, characteristic, complemented
13C113×#1872C211yesmaximal, characteristic, complemented
14C113×#1824C211yesmaximal, characteristic, complemented
15C113×#1762C211yesmaximal, characteristic, complemented
16C22×SD16×C113C2211yescharacteristic
17C2×C4⋊Q8×C113C2211yescharacteristic
18C2×C22⋊Q8×C113C2211yescharacteristic
19C2×#121×C113C2211yescharacteristic
20C2×C4×D4×C113—21no—
21C2×C4×D4×C113C2211yescharacteristic
22C22×C4⋊C4×C113C2211yescharacteristic
23C2×#106×C113C2211yescharacteristic
24C2×C4⋊C8×C113C2211yescharacteristic
25C2×#103×C113C2211yescharacteristic
26C2×#103×C113C2211yescharacteristic
27C2×#103×C113C2211yescharacteristic
28C2×#102×C113C2211yescharacteristic
29C2×#102×C113C2211yescharacteristic
30C2×#102×C113C2211yescharacteristic
31C2×C22⋊C8×C113C2211yescharacteristic
32C2×C22⋊C8×C113C2211yescharacteristic
33C2×#97×C113C2211yescharacteristic
34#400×C113—21no—
35#393×C113—21no—
36#391×C113—21no—
37#391×C113C2211yescharacteristic
38#391×C113C2211yescharacteristic
39#390×C113C2211yescharacteristic
40#389×C113C2211yescharacteristic
41#388×C113—21no—
42#388×C113—21no—
43#386×C113—21no—
44#385×C113—21no—
45#380×C113C2211yescharacteristic
46C4×C4⋊C4×C113C2211yescharacteristic
47C4×C4⋊C4×C113C2211yescharacteristic
48C4×C22⋊C4×C113C2211yescharacteristic
49#340×C113C2211yescharacteristic
50#340×C113C2211yescharacteristic
51#340×C113C2211yescharacteristic
52#340×C113C2211yescharacteristic
53#340×C113C2211yescharacteristic
54#340×C113C2211yescharacteristic
55#340×C113C2211yescharacteristic
56#340×C113C2211yescharacteristic
57#336×C113C2211yescharacteristic
58#336×C113C2211yescharacteristic
59C22×Q8×C113—21no—
60C22×Q8×C113C2311yescharacteristic
61C22×D4×C113—21no—
62C22×D4×C113C2311yescharacteristic
63C23×C4×C113—21no—
64C23×C4×C113—21no—
65C23×C4×C113C2311yescharacteristic
66C2×SD16×C113—22no—
67C2×SD16×C113—41no—
68C2×SD16×C113—41no—
69C22×C8×C113C2311yescharacteristic
70C22×C8×C113C2311yescharacteristic
71C22×C8×C113C2311yescharacteristic
72C22×C8×C113C2311yescharacteristic
73C4⋊Q8×C113—22no—
74C4⋊Q8×C113—41no—
75C22⋊Q8×C113—22no—
76C22⋊Q8×C113—41no—
77#121×C113—22no—
78#121×C113—22no—
79C4×D4×C113—22no—
80C4×D4×C113—41no—
81C4×D4×C113—44no—
82C2×C4⋊C4×C113—22no—
83C2×C4⋊C4×C113—21no—
84C2×C4⋊C4×C113—21no—
85C2×C4⋊C4×C113—21no—
86C2×C4⋊C4×C113—21no—
87C2×C4⋊C4×C113—41no—
88C2×C4⋊C4×C113C2311yescharacteristic
89C2×C4⋊C4×C113C2311yescharacteristic
90C2×C4⋊C4×C113C2311yescharacteristic
91C2×C4⋊C4×C113C2311yescharacteristic
92C2×C4⋊C4×C113C2311yescharacteristic
93C2×C4⋊C4×C113C2311yescharacteristic
94C2×C22⋊C4×C113—21no—
95C2×C22⋊C4×C113—21no—
96C2×C22⋊C4×C113—21no—
97C2×C22⋊C4×C113—21no—
98C2×C22⋊C4×C113—21no—
99C2×C22⋊C4×C113—21no—
100C2×C22⋊C4×C113D411yescharacteristic
101C2×C22⋊C4×C113D411yescharacteristic
102C2×C42×C113—21no—
103C2×C42×C113—21no—
104C2×C42×C113C2311yescharacteristic
105C2×C42×C113C2311yescharacteristic
106#106×C113—22no—
107C4⋊C8×C113—41no—
108#103×C113—22no—
109#103×C113—22no—
110#103×C113—41no—
111#102×C113—22no—
112#102×C113—22no—
113#102×C113—41no—
114C22⋊C8×C113—41no—
115C22⋊C8×C113—41no—
116#97×C113—41no—
117#95×C113—21no—
118#95×C113—21no—
119#95×C113—21no—
120#95×C113—21no—
121#95×C113—21no—
122#95×C113—21no—
123#95×C113—21no—
124#95×C113—21no—
125#95×C113D411yescharacteristic
126#95×C113D411yescharacteristic
127C24×C113—21no—
128C24×C113C2×D411yescharacteristic
129C2×Q8×C113—21no—
130C2×Q8×C113—21no—
131C2×Q8×C113—21no—
132C2×Q8×C113—21no—
133C2×Q8×C113—21no—
134C2×Q8×C113—21no—
135C2×Q8×C113—42no—
136C2×Q8×C113—42no—
137C2×Q8×C113—81no—
138C2×D4×C113—24no—
139C2×D4×C113—21no—
140C2×D4×C113—21no—
141C2×D4×C113—21no—
142C2×D4×C113—21no—
143C2×D4×C113—21no—
144C2×D4×C113—42no—
145C2×D4×C113—42no—
146C2×D4×C113#4112yes—
147C22×C4×C113—21no—
148C22×C4×C113—21no—
149C22×C4×C113—21no—
150C22×C4×C113—21no—
151C22×C4×C113—21no—
152C22×C4×C113—21no—
153C22×C4×C113—21no—
154C22×C4×C113—21no—
155C22×C4×C113—21no—
156C22×C4×C113—21no—
157C22×C4×C113—21no—
158C22×C4×C113—21no—
159C22×C4×C113—21no—
160C22×C4×C113—42no—
161C22×C4×C113—42no—
162C22×C4×C113—42no—
163C22×C4×C113—42no—
164C22×C4×C113—81no—
165C22×C4×C113—81no—
166C22×C4×C113C2×D411yescharacteristic
167C22×C4×C113C2×D411yescharacteristic
168C22×C4×C113C2×D411yescharacteristic
169C22×C4×C113C2×D411yescharacteristic
170C22×C4×C113C2×D411yescharacteristic
171C22×C4×C113C2411yescharacteristic
172SD16×C113—44no—
173C2×C8×C113—21no—
174C2×C8×C113—21no—
175C2×C8×C113—21no—
176C2×C8×C113—21no—
177C2×C8×C113—21no—
178C2×C8×C113—21no—
179C2×C8×C113—21no—
180C2×C8×C113—21no—
181C2×C8×C113—21no—
182C2×C8×C113—21no—
183C2×C8×C113—21no—
184C2×C8×C113—21no—
185C4⋊C4×C113—21no—
186C4⋊C4×C113—21no—
187C4⋊C4×C113—21no—
188C4⋊C4×C113—21no—
189C4⋊C4×C113—21no—
190C4⋊C4×C113—21no—
191C4⋊C4×C113—21no—
192C4⋊C4×C113—21no—
193C4⋊C4×C113—21no—
194C4⋊C4×C113—42no—
195C4⋊C4×C113—42no—
196C4⋊C4×C113—42no—
197C4⋊C4×C113—42no—
198C4⋊C4×C113#4112yes—
199C4⋊C4×C113#4112yes—
200C4⋊C4×C113#4112yes—
201C22⋊C4×C113—24no—
202C22⋊C4×C113—22no—
203C22⋊C4×C113—22no—
204C22⋊C4×C113—42no—
205C22⋊C4×C113—42no—
206C22⋊C4×C113—42no—
207C22⋊C4×C113—81no—
208C22⋊C4×C113—81no—
209C42×C113—21no—
210C42×C113—21no—
211C42×C113—21no—
212C42×C113—21no—
213C42×C113—42no—
214C42×C113—81no—
215C23×C113—21no—
216C23×C113—21no—
217C23×C113—21no—
218C23×C113—21no—
219C23×C113—21no—
220C23×C113—21no—
221C23×C113—22no—
222C23×C113—41no—
223C23×C113—41no—
224C23×C113—41no—
225C23×C113—41no—
226C23×C113—41no—
227C23×C113—41no—
228C23×C113#13712yes—
229C23×C113C22×D411yescharacteristic
230Q8×C113—41no—
231Q8×C113—41no—
232Q8×C113—41no—
233Q8×C113—41no—
234Q8×C113—84no—
235D4×C113—22no—
236D4×C113—22no—
237D4×C113—48no—
238D4×C113—41no—
239D4×C113—41no—
240C2×C4×C113—21no—
241C2×C4×C113—21no—
242C2×C4×C113—21no—
243C2×C4×C113—22no—
244C2×C4×C113—21no—
245C2×C4×C113—21no—
246C2×C4×C113—21no—
247C2×C4×C113—22no—
248C2×C4×C113—22no—
249C2×C4×C113—21no—
250C2×C4×C113—21no—
251C2×C4×C113—21no—
252C2×C4×C113—21no—
253C2×C4×C113—21no—
254C2×C4×C113—21no—
255C2×C4×C113—21no—
256C2×C4×C113—21no—
257C2×C4×C113—41no—
258C2×C4×C113—41no—
259C2×C4×C113—41no—
260C2×C4×C113—41no—
261C2×C4×C113—41no—
262C2×C4×C113—41no—
263C2×C4×C113—41no—
264C2×C4×C113—41no—
265C2×C4×C113—41no—
266C2×C4×C113—41no—
267C2×C4×C113—41no—
268C2×C4×C113—41no—
269C2×C4×C113—41no—
270C2×C4×C113—41no—
271C2×C4×C113—41no—
272C2×C4×C113—41no—
273C2×C4×C113—41no—
274C2×C4×C113—41no—
275C2×C4×C113—41no—
276C2×C4×C113—41no—
277C2×C4×C113—41no—
278C2×C4×C113—41no—
279C2×C4×C113—84no—
280C2×C4×C113—84no—
281C2×C4×C113AGL(1,ℤ/8)12yes—
282C2×C4×C113C2×#4111yescharacteristic
283C2×C4×C113C2×#4111yescharacteristic
284C2×C4×C113C2×#4111yescharacteristic
285C2×C4×C113C2×#4111yescharacteristic
286C2×C4×C113H(5,𝔽2)11yescharacteristic
287C2×C4×C113H(5,𝔽2)11yescharacteristic
288C8×C113—41no—
289C8×C113—41no—
290C8×C113—41no—
291C8×C113—41no—
292C22×C113—22no—
293C22×C113—22no—
294C22×C113—22no—
295C22×C113—41no—
296C22×C113—41no—
297C22×C113—41no—
298C22×C113—41no—
299C22×C113—42no—
300C22×C113—42no—
301C22×C113—42no—
302C22×C113—81no—
303C22×C113—81no—
304C22×C113—81no—
305C22×C113—81no—
306C22×C113#52511yescharacteristic
307C22×C113#54611yescharacteristic
308C22×C113#54611yescharacteristic
309C22×C113C2×AGL(1,ℤ/8)11yescharacteristic
310C22×C113C2×#13711yescharacteristic
311C22×C113#57711yescharacteristic
312C22×C113#57711yescharacteristic
313C4×C113—22no—
314C4×C113—42no—
315C4×C113—41no—
316C4×C113—42no—
317C4×C113—41no—
318C4×C113—41no—
319C4×C113—41no—
320C4×C113—42no—
321C4×C113—81no—
322C4×C113—81no—
323C4×C113—81no—
324C4×C113—81no—
325C4×C113#52911yescharacteristic
326C4×C113#53811yescharacteristic
327C4×C113#55511yescharacteristic
328C4×C113#55911yescharacteristic
329#26739C11311yesmaximal, characteristic, direct product factor, Sylow
330C2×C113—42no—
331C2×C113—82no—
332C2×C113#245911yescharacteristic
333C2×C113#311011yescharacteristic
334C2×C113#312511yescharacteristic
335C2×C113#330611yescharacteristic
336C2×C113#331611yescharacteristic
337C2×C113#332011yescharacteristic
338C2×C113#332411yescharacteristic
339#2492C2×C11311yescharacteristic, complemented
340#2361C2×C11311yescharacteristic
341#2055C2×C11311yescharacteristic, complemented
342#2034C2×C11311yescharacteristic
343#2023C2×C11311yescharacteristic, complemented
344#2000C2×C11311yescharacteristic
345#1988C2×C11311yescharacteristic, complemented
346#1935C2×C11311yescharacteristic, complemented
347#1927C2×C11311yescharacteristic, complemented
348#1924C2×C11311yescharacteristic, complemented
349#1920C2×C11311yescharacteristic, complemented
350#1877C2×C11311yescharacteristic, complemented
351#1872C2×C11311yescharacteristic, complemented
352#1824C2×C11311yescharacteristic, complemented
353#1762C2×C11311yescharacteristic, complemented
354C113#2673911yescharacteristic, direct product factor, Sylow
355C22×SD16C22×C11311yescharacteristic
356C2×C4⋊Q8C22×C11311yescharacteristic
357C2×C22⋊Q8C22×C11311yescharacteristic
358C2×#121C22×C11311yescharacteristic
359C2×C4×D4—21no—
360C2×C4×D4C22×C11311yescharacteristic
361C22×C4⋊C4C22×C11311yescharacteristic
362C2×#106C22×C11311yescharacteristic
363C2×C4⋊C8C22×C11311yescharacteristic
364C2×#103C22×C11311yescharacteristic
365C2×#103C22×C11311yescharacteristic
366C2×#103C22×C11311yescharacteristic
367C2×#102C22×C11311yescharacteristic
368C2×#102C22×C11311yescharacteristic
369C2×#102C22×C11311yescharacteristic
370C2×C22⋊C8C22×C11311yescharacteristic
371C2×C22⋊C8C22×C11311yescharacteristic
372C2×#97C22×C11311yescharacteristic
373#400—21no—
374#393—21no—
375#391—21no—
376#391C22×C11311yescharacteristic
377#391C22×C11311yescharacteristic
378#390C22×C11311yescharacteristic
379#389C22×C11311yescharacteristic
380#388—21no—
381#388—21no—
382#386—21no—
383#385—21no—
384#380C22×C11311yescharacteristic
385C4×C4⋊C4C22×C11311yescharacteristic
386C4×C4⋊C4C22×C11311yescharacteristic
387C4×C22⋊C4C22×C11311yescharacteristic
388#340C22×C11311yescharacteristic
389#340C22×C11311yescharacteristic
390#340C22×C11311yescharacteristic
391#340C22×C11311yescharacteristic
392#340C22×C11311yescharacteristic
393#340C22×C11311yescharacteristic
394#340C22×C11311yescharacteristic
395#340C22×C11311yescharacteristic
396#336C22×C11311yescharacteristic
397#336C22×C11311yescharacteristic
398C22×Q8—21no—
399C22×Q8C23×C11311yescharacteristic
400C22×D4—21no—
401C22×D4C23×C11311yescharacteristic
402C23×C4—21no—
403C23×C4—21no—
404C23×C4C23×C11311yescharacteristic
405C2×SD16—22no—
406C2×SD16—41no—
407C2×SD16—41no—
408C22×C8C23×C11311yescharacteristic
409C22×C8C23×C11311yescharacteristic
410C22×C8C23×C11311yescharacteristic
411C22×C8C23×C11311yescharacteristic
412C4⋊Q8—22no—
413C4⋊Q8—41no—
414C22⋊Q8—22no—
415C22⋊Q8—41no—
416#121—22no—
417#121—22no—
418C4×D4—22no—
419C4×D4—41no—
420C4×D4—44no—
421C2×C4⋊C4—22no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—41no—
427C2×C4⋊C4C23×C11311yescharacteristic
428C2×C4⋊C4C23×C11311yescharacteristic
429C2×C4⋊C4C23×C11311yescharacteristic
430C2×C4⋊C4C23×C11311yescharacteristic
431C2×C4⋊C4C23×C11311yescharacteristic
432C2×C4⋊C4C23×C11311yescharacteristic
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4D4×C11311yescharacteristic
440C2×C22⋊C4D4×C11311yescharacteristic
441C2×C42—21no—
442C2×C42—21no—
443C2×C42C23×C11311yescharacteristic
444C2×C42C23×C11311yescharacteristic
445#106—22no—
446C4⋊C8—41no—
447#103—22no—
448#103—22no—
449#103—41no—
450#102—22no—
451#102—22no—
452#102—41no—
453C22⋊C8—41no—
454C22⋊C8—41no—
455#97—41no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95D4×C11311yescharacteristic
465#95D4×C11311yescharacteristic
466C24—21no—
467C24C2×D4×C11311yescharacteristic
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—42no—
475C2×Q8—42no—
476C2×Q8—81no—
477C2×D4—24no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4#41×C11312yes—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—81no—
504C22×C4—81no—
505C22×C4C2×D4×C11311yescharacteristic
506C22×C4C2×D4×C11311yescharacteristic
507C22×C4C2×D4×C11311yescharacteristic
508C22×C4C2×D4×C11311yescharacteristic
509C22×C4C2×D4×C11311yescharacteristic
510C22×C4C24×C11311yescharacteristic
511SD16—44no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4#41×C11312yes—
538C4⋊C4#41×C11312yes—
539C4⋊C4#41×C11312yes—
540C22⋊C4—24no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—42no—
553C42—81no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—22no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23#137×C11312yes—
568C23C22×D4×C11311yescharacteristic
569Q8—41no—
570Q8—41no—
571Q8—41no—
572Q8—41no—
573Q8—84no—
574D4—22no—
575D4—22no—
576D4—48no—
577D4—41no—
578D4—41no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—84no—
619C2×C4—84no—
620C2×C4AGL(1,ℤ/8)×C11312yes—
621C2×C4C2×#41×C11311yescharacteristic
622C2×C4C2×#41×C11311yescharacteristic
623C2×C4C2×#41×C11311yescharacteristic
624C2×C4C2×#41×C11311yescharacteristic
625C2×C4H(5,𝔽2)×C11311yescharacteristic
626C2×C4H(5,𝔽2)×C11311yescharacteristic
627C8—41no—
628C8—41no—
629C8—41no—
630C8—41no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22#525×C11311yescharacteristic
646C22#546×C11311yescharacteristic
647C22#546×C11311yescharacteristic
648C22C2×AGL(1,ℤ/8)×C11311yescharacteristic
649C22C2×#137×C11311yescharacteristic
650C22#577×C11311yescharacteristic
651C22#577×C11311yescharacteristic
652C4—22no—
653C4—42no—
654C4—41no—
655C4—41no—
656C4—41no—
657C4—42no—
658C4—42no—
659C4—41no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4#529×C11311yescharacteristic
665C4#538×C11311yescharacteristic
666C4#555×C11311yescharacteristic
667C4#559×C11311yescharacteristic
668C2—42no—
669C2—82no—
670C2C113×#245911yescharacteristic
671C2C113×#311011yescharacteristic
672C2C113×#312511yescharacteristic
673C2C113×#330611yescharacteristic
674C2C113×#331611yescharacteristic
675C2C113×#332011yescharacteristic
676C2C113×#332411yescharacteristic
subgroupG/H
center, socleC23×C113C22×D4
commutator, Frattini, cosocleC22×C4C24×C113
prime radicalC2×#121×C113C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C113 ◁ C4×C22⋊C4×C113 ◁ G

Complements

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

NH ≅ G/Ntype
1. C113×#2492C2semidirect
3. C113×#2055C2semidirect
5. C113×#2023C2semidirect
7. C113×#1988C2semidirect
8. C113×#1935C2semidirect
9. C113×#1927C2semidirect
10. C113×#1924C2semidirect
11. C113×#1920C2semidirect
12. C113×#1877C2semidirect
13. C113×#1872C2semidirect
14. C113×#1824C2semidirect
15. C113×#1762C2semidirect
329. #26739C113direct (N × H)
339. #2492C2×C113semidirect
341. #2055C2×C113semidirect
343. #2023C2×C113semidirect
345. #1988C2×C113semidirect
346. #1935C2×C113semidirect
347. #1927C2×C113semidirect
348. #1924C2×C113semidirect
349. #1920C2×C113semidirect
350. #1877C2×C113semidirect
351. #1872C2×C113semidirect
352. #1824C2×C113semidirect
353. #1762C2×C113semidirect
354. C113#26739direct (N × H)

Maximal subgroups

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

subgroupindex
C113×#24922
C113×#23612
C113×#20552
C113×#20342
C113×#20232
C113×#20002
C113×#19882
C113×#19352
C113×#19272
C113×#19242
C113×#19202
C113×#18772
C113×#18722
C113×#18242
C113×#17622
#26739113