Finite Group Databasebeta

← C113×#15203 #43283223

Subgroups — C113×#15203 #43283223

Order 28928.

2214 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
1C22×C4×D4×C113C211yesmaximal, characteristic
2C2×#387×C113C211yesmaximal, characteristic, complemented
3C2×#385×C113C212yesmaximal, complemented
4C113×#1444C211yesmaximal, characteristic, complemented
5C113×#1442C211yesmaximal, characteristic, complemented
6C113×#1439C212yesmaximal, complemented
7C113×#1439C212yesmaximal, complemented
8C113×#1438C211yesmaximal, characteristic
9C113×#1438C211yesmaximal, characteristic
10C113×#1434C211yesmaximal, characteristic, complemented
11C113×C22⋊#95C212yesmaximal, complemented
12C23×D4×C113C2211yescharacteristic
13C24×C4×C113C2212yes—
14C2×C4×D4×C113—28no—
15C2×C4×D4×C113—24no—
16C22×C4⋊C4×C113C2211yescharacteristic
17C22×C4⋊C4×C113C2211yescharacteristic
18C22×C4⋊C4×C113C2211yescharacteristic
19C22×C4⋊C4×C113C2212yes—
20C22×C22⋊C4×C113C2212yes—
21C22×C22⋊C4×C113C2212yes—
22C22×C22⋊C4×C113C2212yes—
23C22×C22⋊C4×C113C2212yes—
24C22×C22⋊C4×C113C2212yes—
25C22×C42×C113C2211yescharacteristic
26#387×C113—24no—
27#385×C113—28no—
28C2×#95×C113C2212yes—
29C2×#95×C113C2212yes—
30C2×#95×C113C2211yescharacteristic
31C2×#95×C113C2211yescharacteristic
32C2×#95×C113C2211yescharacteristic
33C2×#95×C113C2211yescharacteristic
34C2×#95×C113C2211yescharacteristic
35C2×#95×C113C2211yescharacteristic
36C2×#95×C113C2212yes—
37C2×#95×C113C2212yes—
38C2×#95×C113C2212yes—
39C25×C113C2312yes—
40C22×D4×C113—24no—
41C22×D4×C113—24no—
42C22×D4×C113—22no—
43C22×D4×C113—22no—
44C22×D4×C113Q814yes—
45C23×C4×C113—24no—
46C23×C4×C113—24no—
47C23×C4×C113—42no—
48C23×C4×C113—42no—
49C23×C4×C113—42no—
50C23×C4×C113—42no—
51C23×C4×C113D418yes—
52C23×C4×C113C2311yescharacteristic
53C23×C4×C113C2311yescharacteristic
54C23×C4×C113C2312yes—
55C23×C4×C113C2311yescharacteristic
56C23×C4×C113C2312yes—
57C23×C4×C113C2311yescharacteristic
58C23×C4×C113C2311yescharacteristic
59C23×C4×C113C2312yes—
60C23×C4×C113C2311yescharacteristic
61C23×C4×C113C2311yescharacteristic
62C4×D4×C113—232no—
63C2×C4⋊C4×C113—24no—
64C2×C4⋊C4×C113—22no—
65C2×C4⋊C4×C113—22no—
66C2×C4⋊C4×C113—22no—
67C2×C4⋊C4×C113—22no—
68C2×C4⋊C4×C113—24no—
69C2×C4⋊C4×C113—24no—
70C2×C4⋊C4×C113—22no—
71C2×C4⋊C4×C113—42no—
72C2×C4⋊C4×C113—42no—
73C2×C22⋊C4×C113—24no—
74C2×C22⋊C4×C113—24no—
75C2×C22⋊C4×C113—24no—
76C2×C22⋊C4×C113—24no—
77C2×C22⋊C4×C113—24no—
78C2×C22⋊C4×C113—24no—
79C2×C22⋊C4×C113—24no—
80C2×C22⋊C4×C113—24no—
81C2×C22⋊C4×C113—24no—
82C2×C22⋊C4×C113—24no—
83C2×C22⋊C4×C113—24no—
84C2×C22⋊C4×C113—42no—
85C2×C22⋊C4×C113—42no—
86C2×C22⋊C4×C113—42no—
87C2×C22⋊C4×C113—42no—
88C2×C42×C113—24no—
89C2×C42×C113D414yes—
90#95×C113—24no—
91#95×C113—24no—
92#95×C113—22no—
93#95×C113—22no—
94#95×C113—22no—
95#95×C113—22no—
96#95×C113—22no—
97#95×C113—24no—
98#95×C113—22no—
99#95×C113—42no—
100#95×C113—42no—
101C24×C113—22no—
102C24×C113—22no—
103C24×C113—22no—
104C24×C113—22no—
105C24×C113—22no—
106C24×C113—22no—
107C24×C113—22no—
108C24×C113—22no—
109C24×C113—22no—
110C24×C113—22no—
111C24×C113—22no—
112C24×C113—22no—
113C24×C113C2×D414yes—
114C24×C113C2×Q814yes—
115C24×C113#4114yes—
116C24×C113C2411yescharacteristic
117C2×D4×C113—28no—
118C2×D4×C113—28no—
119C2×D4×C113—216no—
120C2×D4×C113—216no—
121C2×D4×C113—28no—
122C22×C4×C113—22no—
123C22×C4×C113—22no—
124C22×C4×C113—21no—
125C22×C4×C113—22no—
126C22×C4×C113—21no—
127C22×C4×C113—21no—
128C22×C4×C113—22no—
129C22×C4×C113—22no—
130C22×C4×C113—21no—
131C22×C4×C113—22no—
132C22×C4×C113—22no—
133C22×C4×C113—22no—
134C22×C4×C113—22no—
135C22×C4×C113—22no—
136C22×C4×C113—22no—
137C22×C4×C113—22no—
138C22×C4×C113—22no—
139C22×C4×C113—22no—
140C22×C4×C113—21no—
141C22×C4×C113—21no—
142C22×C4×C113—21no—
143C22×C4×C113—21no—
144C22×C4×C113—22no—
145C22×C4×C113—22no—
146C22×C4×C113—22no—
147C22×C4×C113—22no—
148C22×C4×C113—22no—
149C22×C4×C113—22no—
150C22×C4×C113—22no—
151C22×C4×C113—216no—
152C22×C4×C113—21no—
153C22×C4×C113—22no—
154C22×C4×C113—21no—
155C22×C4×C113—22no—
156C22×C4×C113—22no—
157C22×C4×C113—22no—
158C22×C4×C113—22no—
159C22×C4×C113—22no—
160C22×C4×C113—22no—
161C22×C4×C113—22no—
162C22×C4×C113—21no—
163C22×C4×C113—22no—
164C22×C4×C113—21no—
165C22×C4×C113—22no—
166C22×C4×C113—21no—
167C22×C4×C113—22no—
168C22×C4×C113—21no—
169C22×C4×C113—48no—
170C22×C4×C113—48no—
171C22×C4×C113—48no—
172C22×C4×C113—48no—
173C22×C4×C113—48no—
174C22×C4×C113—48no—
175C22×C4×C113C2×D412yes—
176C22×C4×C113C2×D414yes—
177C22×C4×C113C2×D414yes—
178C22×C4×C113C2×D412yes—
179C22×C4×C113C2×D412yes—
180C22×C4×C113C2×Q812yes—
181C22×C4×C113#4114yes—
182C22×C4×C113#4112yes—
183C22×C4×C113#4112yes—
184C22×C4×C113#4112yes—
185C4⋊C4×C113—28no—
186C4⋊C4×C113—28no—
187C4⋊C4×C113—48no—
188C4⋊C4×C113—44no—
189C22⋊C4×C113—216no—
190C22⋊C4×C113—216no—
191C22⋊C4×C113—48no—
192C22⋊C4×C113—48no—
193C22⋊C4×C113—48no—
194C42×C113—28no—
195C23×C113—24no—
196C23×C113—24no—
197C23×C113—24no—
198C23×C113—24no—
199C23×C113—24no—
200C23×C113—24no—
201C23×C113—24no—
202C23×C113—24no—
203C23×C113—24no—
204C23×C113—24no—
205C23×C113—24no—
206C23×C113—24no—
207C23×C113—24no—
208C23×C113—24no—
209C23×C113—24no—
210C23×C113—24no—
211C23×C113—24no—
212C23×C113—24no—
213C23×C113—42no—
214C23×C113—42no—
215C23×C113—42no—
216C23×C113—42no—
217C23×C113—42no—
218C23×C113—42no—
219C23×C113—42no—
220C23×C113—42no—
221C23×C113—42no—
222C23×C113—42no—
223C23×C113—42no—
224C23×C113—42no—
225C23×C113—42no—
226C23×C113—42no—
227C23×C113—42no—
228C23×C113—42no—
229C23×C113C22⋊Q818yes—
230C23×C113C22×D412yes—
231C23×C113C22×D411yescharacteristic
232C23×C113C22×Q811yescharacteristic
233C23×C113C2×#4112yes—
234C23×C113C2×#4111yescharacteristic
235C23×C113C2×#4111yescharacteristic
236C23×C113C2×#4111yescharacteristic
237C23×C113C2×#4112yes—
238C23×C113H(5,𝔽2)11yescharacteristic
239C23×C113H(5,𝔽2)12yes—
240C23×C113H(5,𝔽2)11yescharacteristic
241D4×C113—232no—
242C2×C4×C113—22no—
243C2×C4×C113—24no—
244C2×C4×C113—22no—
245C2×C4×C113—24no—
246C2×C4×C113—24no—
247C2×C4×C113—24no—
248C2×C4×C113—22no—
249C2×C4×C113—22no—
250C2×C4×C113—22no—
251C2×C4×C113—24no—
252C2×C4×C113—24no—
253C2×C4×C113—24no—
254C2×C4×C113—22no—
255C2×C4×C113—22no—
256C2×C4×C113—22no—
257C2×C4×C113—22no—
258C2×C4×C113—24no—
259C2×C4×C113—24no—
260C2×C4×C113—24no—
261C2×C4×C113—24no—
262C2×C4×C113—24no—
263C2×C4×C113—432no—
264C2×C4×C113—41no—
265C2×C4×C113—41no—
266C2×C4×C113—42no—
267C2×C4×C113—42no—
268C2×C4×C113—42no—
269C2×C4×C113—42no—
270C2×C4×C113—41no—
271C2×C4×C113—42no—
272C2×C4×C113—42no—
273C2×C4×C113—42no—
274C2×C4×C113—41no—
275C2×C4×C113—42no—
276C2×C4×C113—42no—
277C2×C4×C113—42no—
278C2×C4×C113—42no—
279C2×C4×C113—42no—
280C2×C4×C113—41no—
281C2×C4×C113—42no—
282C2×C4×C113—41no—
283C2×C4×C113—42no—
284C2×C4×C113—41no—
285C2×C4×C113—42no—
286C2×C4×C113—42no—
287C2×C4×C113—42no—
288C2×C4×C113—41no—
289C2×C4×C113—41no—
290C2×C4×C113—41no—
291C2×C4×C113—42no—
292C2×C4×C113—42no—
293C2×C4×C113—42no—
294C2×C4×C113—42no—
295C2×C4×C113—42no—
296C2×C4×C113—42no—
297C2×C4×C113#12014yes—
298C2×C4×C113C22⋊Q814yes—
299C22×C113—28no—
300C22×C113—28no—
301C22×C113—28no—
302C22×C113—44no—
303C22×C113—44no—
304C22×C113—44no—
305C22×C113—44no—
306C22×C113—44no—
307C22×C113—44no—
308C22×C113—44no—
309C22×C113—44no—
310C22×C113—44no—
311C22×C113—44no—
312C22×C113—44no—
313C22×C113—44no—
314C22×C113C2×#12011yescharacteristic
315C22×C113C2×C22⋊Q812yes—
316C22×C113C2×C22⋊Q811yescharacteristic
317C22×C113#52512yes—
318C22×C113#52511yescharacteristic
319C22×C113#52511yescharacteristic
320C22×C113#52512yes—
321C22×C113#53212yes—
322C22×C113#53211yescharacteristic
323C22×C113#53412yes—
324C22×C113#53412yes—
325C22×C113#53511yescharacteristic
326C22×C113#53511yescharacteristic
327C22×C113#55112yes—
328C22×C113#55112yes—
329C22×C113#55312yes—
330C22×C113#55312yes—
331C22×C113#55312yes—
332C22×C113#55411yescharacteristic
333C22×C113#55412yes—
334C22×C113#55411yescharacteristic
335C22×C113#55911yescharacteristic
336C22×C113#55911yescharacteristic
337C4×C113—24no—
338C4×C113—24no—
339C4×C113—42no—
340C4×C113—44no—
341C4×C113—44no—
342C4×C113—42no—
343C4×C113—42no—
344C4×C113—82no—
345C4×C113—81no—
346C4×C113—81no—
347#15203C11311yesmaximal, characteristic, direct product factor, Sylow
348C2×C113—48no—
349C2×C113#238811yescharacteristic
350C2×C113#256412yes—
351C2×C113#256611yescharacteristic
352C2×C113#257912yes—
353C2×C113#258011yescharacteristic
354C2×C113#259811yescharacteristic
355C2×C113#260012yes—
356C2×C113#260212yes—
357C2×C113#260311yescharacteristic
358C2×C113#261311yescharacteristic
359C2×C113#284811yescharacteristic
360C22×C4×D4C2×C11311yescharacteristic
361C2×#387C2×C11311yescharacteristic, complemented
362C2×#385C2×C11312yescomplemented
363#1444C2×C11311yescharacteristic, complemented
364#1442C2×C11311yescharacteristic, complemented
365#1439C2×C11312yescomplemented
366#1439C2×C11312yescomplemented
367#1438C2×C11311yescharacteristic
368#1438C2×C11311yescharacteristic
369#1434C2×C11311yescharacteristic, complemented
370C22⋊#95C2×C11312yescomplemented
371C113#1520311yescharacteristic, direct product factor, Sylow
372C23×D4C22×C11311yescharacteristic
373C24×C4C22×C11312yes—
374C2×C4×D4—28no—
375C2×C4×D4—24no—
376C22×C4⋊C4C22×C11311yescharacteristic
377C22×C4⋊C4C22×C11311yescharacteristic
378C22×C4⋊C4C22×C11311yescharacteristic
379C22×C4⋊C4C22×C11312yes—
380C22×C22⋊C4C22×C11312yes—
381C22×C22⋊C4C22×C11312yes—
382C22×C22⋊C4C22×C11312yes—
383C22×C22⋊C4C22×C11312yes—
384C22×C22⋊C4C22×C11312yes—
385C22×C42C22×C11311yescharacteristic
386#387—24no—
387#385—28no—
388C2×#95C22×C11311yescharacteristic
389C2×#95C22×C11312yes—
390C2×#95C22×C11311yescharacteristic
391C2×#95C22×C11311yescharacteristic
392C2×#95C22×C11312yes—
393C2×#95C22×C11311yescharacteristic
394C2×#95C22×C11311yescharacteristic
395C2×#95C22×C11311yescharacteristic
396C2×#95C22×C11312yes—
397C2×#95C22×C11312yes—
398C2×#95C22×C11312yes—
399C25C23×C11312yes—
400C22×D4—24no—
401C22×D4—24no—
402C22×D4—22no—
403C22×D4—22no—
404C22×D4Q8×C11314yes—
405C23×C4—24no—
406C23×C4—24no—
407C23×C4—42no—
408C23×C4—42no—
409C23×C4—42no—
410C23×C4—42no—
411C23×C4D4×C11318yes—
412C23×C4C23×C11311yescharacteristic
413C23×C4C23×C11311yescharacteristic
414C23×C4C23×C11312yes—
415C23×C4C23×C11311yescharacteristic
416C23×C4C23×C11312yes—
417C23×C4C23×C11311yescharacteristic
418C23×C4C23×C11311yescharacteristic
419C23×C4C23×C11312yes—
420C23×C4C23×C11311yescharacteristic
421C23×C4C23×C11311yescharacteristic
422C4×D4—232no—
423C2×C4⋊C4—24no—
424C2×C4⋊C4—22no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4—24no—
429C2×C4⋊C4—24no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—42no—
432C2×C4⋊C4—42no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—24no—
436C2×C22⋊C4—24no—
437C2×C22⋊C4—24no—
438C2×C22⋊C4—24no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—24no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—42no—
445C2×C22⋊C4—42no—
446C2×C22⋊C4—42no—
447C2×C22⋊C4—42no—
448C2×C42—24no—
449C2×C42D4×C11314yes—
450#95—24no—
451#95—24no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—24no—
458#95—22no—
459#95—42no—
460#95—42no—
461C24—22no—
462C24—22no—
463C24—22no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24C2×D4×C11314yes—
474C24C2×Q8×C11314yes—
475C24#41×C11314yes—
476C24C24×C11311yescharacteristic
477C2×D4—28no—
478C2×D4—28no—
479C2×D4—216no—
480C2×D4—216no—
481C2×D4—28no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—216no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—21no—
525C22×C4—22no—
526C22×C4—21no—
527C22×C4—22no—
528C22×C4—21no—
529C22×C4—48no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4—48no—
533C22×C4—48no—
534C22×C4—48no—
535C22×C4C2×D4×C11312yes—
536C22×C4C2×D4×C11314yes—
537C22×C4C2×D4×C11314yes—
538C22×C4C2×D4×C11312yes—
539C22×C4C2×D4×C11312yes—
540C22×C4C2×Q8×C11312yes—
541C22×C4#41×C11314yes—
542C22×C4#41×C11312yes—
543C22×C4#41×C11312yes—
544C22×C4#41×C11312yes—
545C4⋊C4—28no—
546C4⋊C4—28no—
547C4⋊C4—48no—
548C4⋊C4—44no—
549C22⋊C4—216no—
550C22⋊C4—216no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C42—28no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23C22⋊Q8×C11318yes—
590C23C22×D4×C11312yes—
591C23C22×D4×C11311yescharacteristic
592C23C22×Q8×C11311yescharacteristic
593C23C2×#41×C11312yes—
594C23C2×#41×C11311yescharacteristic
595C23C2×#41×C11311yescharacteristic
596C23C2×#41×C11311yescharacteristic
597C23C2×#41×C11312yes—
598C23H(5,𝔽2)×C11311yescharacteristic
599C23H(5,𝔽2)×C11312yes—
600C23H(5,𝔽2)×C11311yescharacteristic
601D4—232no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—432no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—41no—
641C2×C4—42no—
642C2×C4—41no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4#120×C11314yes—
658C2×C4C22⋊Q8×C11314yes—
659C22—28no—
660C22—28no—
661C22—28no—
662C22—44no—
663C22—44no—
664C22—44no—
665C22—44no—
666C22—44no—
667C22—44no—
668C22—44no—
669C22—44no—
670C22—44no—
671C22—44no—
672C22—44no—
673C22—44no—
674C22C2×#120×C11311yescharacteristic
675C22C2×C22⋊Q8×C11312yes—
676C22C2×C22⋊Q8×C11311yescharacteristic
677C22#525×C11312yes—
678C22#525×C11311yescharacteristic
679C22#525×C11311yescharacteristic
680C22#525×C11312yes—
681C22#532×C11312yes—
682C22#532×C11311yescharacteristic
683C22#534×C11312yes—
684C22#534×C11312yes—
685C22#535×C11311yescharacteristic
686C22#535×C11311yescharacteristic
687C22#551×C11312yes—
688C22#551×C11312yes—
689C22#553×C11312yes—
690C22#553×C11312yes—
691C22#553×C11312yes—
692C22#554×C11311yescharacteristic
693C22#554×C11312yes—
694C22#554×C11311yescharacteristic
695C22#559×C11311yescharacteristic
696C22#559×C11311yescharacteristic
697C4—24no—
698C4—24no—
699C4—42no—
700C4—44no—
701C4—44no—
702C4—42no—
703C4—42no—
704C4—82no—
705C4—81no—
706C4—81no—
707C2—48no—
708C2C113×#238811yescharacteristic
709C2C113×#256412yes—
710C2C113×#256611yescharacteristic
711C2C113×#257912yes—
712C2C113×#258011yescharacteristic
713C2C113×#259811yescharacteristic
714C2C113×#260012yes—
715C2C113×#260212yes—
716C2C113×#260311yescharacteristic
717C2C113×#261311yescharacteristic
718C2C113×#284811yescharacteristic
subgroupG/H
center, socleC24×C113C24
commutator, Frattini, cosocleC24C24×C113
prime radicalC23×D4×C113C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C113 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#387×C113C2semidirect
3. C2×#385×C113C2semidirect
4. C113×#1444C2semidirect
5. C113×#1442C2semidirect
6. C113×#1439C2semidirect
7. C113×#1439C2semidirect
10. C113×#1434C2semidirect
11. C113×C22⋊#95C2semidirect
347. #15203C113direct (N × H)
361. C2×#387C2×C113semidirect
362. C2×#385C2×C113semidirect
363. #1444C2×C113semidirect
364. #1442C2×C113semidirect
365. #1439C2×C113semidirect
366. #1439C2×C113semidirect
369. #1434C2×C113semidirect
370. C22⋊#95C2×C113semidirect
371. C113#15203direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×D4×C1132
C2×#387×C1132
C2×#385×C1132
C113×#14442
C113×#14422
C113×#14392
C113×#14382
C113×#14342
C113×C22⋊#952
#15203113