Finite Group Databasebeta

← #25094251

Subgroups — #25094251

Order 11008.

1834 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583371C211yesmaximal, characteristic
2C2×#99×D43C212yesmaximal
3#19136947C212yesmaximal, complemented
4#99×Dic43C212yesmaximal, complemented
5C4×#13063239C212yesmaximal, complemented
6C4×#13063240C211yesmaximal, characteristic, complemented
7#19134382C212yesmaximal, complemented
8#342×D43C212yesmaximal, complemented
9C4×#99×C43C211yesmaximal, characteristic, complemented
10C22×D4×D43C2211yescharacteristic
11#14583371—24no—
12#14583371—24no—
13C2×C4×D172C411yescharacteristic, complemented
14C2×D4×Dic43C2211yescharacteristic
15C2×#13063287C411yescharacteristic, complemented
16C2×C4×C22⋊D43C411yescharacteristic, complemented
17C2×C4×C22⋊D43C2211yescharacteristic
18C2×(C22⋊D43)⋊C4C411yescharacteristic, complemented
19C2×(C22⋊D43)⋊C4C2211yescharacteristic
20C2×#13063283C411yescharacteristic, complemented
21C2×#13063282C411yescharacteristic, complemented
22C22×(C2×D43)⋊C4C411yescharacteristic, complemented
23C22×(C2×D43)⋊C4C2211yescharacteristic
24C2×C22⋊C4×D43C411yescharacteristic, complemented
25C2×C22⋊C4×D43C2211yescharacteristic
26C2×C22⋊C4×D43C2214yes—
27C2×#13063240C2212yes—
28C2×#13063239C2214yes—
29#99×D43C4116yescomplemented
30C22⋊C4×Dic43C2214yescomplemented
31C4×(C2×D43)⋊C4—24no—
32C4×C22⋊Dic43C2212yescomplemented
33#14582746—24no—
34#14582666C2212yescomplemented
35#14582665C2214yescomplemented
36C2×C4×D4×C43C2211yescharacteristic
37C2×#99×C43C2212yes—
38C4×C22⋊C4×C43C2212yescomplemented
39C43×#342C2212yescomplemented
40C24×D43C2×C411yescharacteristic
41C24×D43C2311yescharacteristic
42C22×D172C2×C411yescharacteristic
43C22×C22⋊D43C2×C411yescharacteristic
44C22×C22⋊D43C2311yescharacteristic
45C2×D4×D43—24no—
46C2×D4×D43—24no—
47C2×D4×D43C2×C418yes—
48C23×Dic43C2×C411yescharacteristic, complemented
49C23×Dic43C2311yescharacteristic
50C22×C4×D43—24no—
51C22×C4×D43C2×C411yescharacteristic
52C22×C4×D43C2×C411yescharacteristic
53C22×C4×D43C2×C411yescharacteristic
54C22×C4×D43C2×C411yescharacteristic, complemented
55C22×C4×D43C2×C411yescharacteristic, complemented
56C4×D172—22no—
57C4×D172—22no—
58D4×Dic43—24no—
59#13063287—24no—
60C4×C22⋊D43—22no—
61C4×C22⋊D43—22no—
62C4×C22⋊D43—22no—
63C4×C22⋊D43—22no—
64(C22⋊D43)⋊C4—24no—
65(C22⋊D43)⋊C4—24no—
66#13063283—24no—
67#13063282—22no—
68#13063282—22no—
69C2×C4⋊Dic43C2×C411yescharacteristic, complemented
70C2×Dic43⋊C4C2×C411yescharacteristic, complemented
71C2×Dic43⋊C4C2×C411yescharacteristic, complemented
72C2×C22⋊Dic43C2×C411yescharacteristic, complemented
73C2×C22⋊Dic43C2311yescharacteristic
74C2×C22⋊Dic43C2314yes—
75C2×(C2×D43)⋊C4—24no—
76C2×(C2×D43)⋊C4—22no—
77C2×(C2×D43)⋊C4—22no—
78C2×(C2×D43)⋊C4C2×C411yescharacteristic
79C2×(C2×D43)⋊C4C2×C411yescharacteristic
80C2×(C2×D43)⋊C4C2×C411yescharacteristic
81C2×(C2×D43)⋊C4C2×C411yescharacteristic
82C2×(C2×D43)⋊C4C2×C411yescharacteristic
83C2×(C2×D43)⋊C4C2×C411yescharacteristic
84C2×(C2×D43)⋊C4C2×C411yescharacteristic, complemented
85C2×(C2×D43)⋊C4C2×C411yescharacteristic, complemented
86C2×(C2×D43)⋊C4D414yes—
87C2×(C2×D43)⋊C4D414yes—
88C22⋊C4×D43—24no—
89C22⋊C4×D43—28no—
90C22⋊C4×D43—24no—
91C22⋊C4×D43C2×C4116yescomplemented
92C2×C4×Dic43—22no—
93C2×C4×Dic43—24no—
94C2×C4×Dic43C2×C411yescharacteristic, complemented
95C2×C4×Dic43C2×C411yescharacteristic, complemented
96C2×C4×Dic43C2×C411yescharacteristic, complemented
97#13063240C2×C418yescomplemented
98#13063239C2×C4116yescomplemented
99C43⋊#95—22no—
100C43⋊#95—24no—
101C22×D4×C43C2311yescharacteristic
102C23×C4×C43C2×C411yescharacteristic, complemented
103C23×C4×C43C2311yescharacteristic
104C4×D4×C43—22no—
105C4×D4×C43—22no—
106C2×C4⋊C4×C43C2×C411yescharacteristic, complemented
107C2×C22⋊C4×C43C2×C411yescharacteristic, complemented
108C2×C22⋊C4×C43C2311yescharacteristic
109C2×C22⋊C4×C43C2314yes—
110C2×C42×C43—22no—
111C2×C42×C43C2×C411yescharacteristic, complemented
112#99×C43C2×C418yescomplemented
113#95×C43—22no—
114C24×C43C22×C411yescharacteristic
115C24×C43C2411yescharacteristic
116C23×D43—22no—
117C23×D43—22no—
118C23×D43—81no—
119C23×D43—81no—
120C23×D43—81no—
121C23×D43—81no—
122C23×D43C4214yescomplemented
123C23×D43C22×C411yescharacteristic
124C23×D43C22×C411yescharacteristic
125C23×D43C22×C411yescharacteristic
126C23×D43C22×C414yes—
127C23×D43C2×D414yes—
128C23×D43#4114yes—
129C2×D4×C43—22no—
130C2×D4×C43—22no—
131C2×D4×C43C22×C414yes—
132C22×C4×C43—21no—
133C22×C4×C43—21no—
134C22×C4×C43—24no—
135C22×C4×C43—81no—
136C22×C4×C43—81no—
137C22×C4×C43C22×C411yescharacteristic
138C22×C4×C43C22×C411yescharacteristic
139C22×C4×C43C22×C411yescharacteristic
140C22×C4×C43C22×C411yescharacteristic
141C22×C4×C43C22×C411yescharacteristic
142C22×C4×C43C2×D412yes—
143C22×C4×C43C2×D412yes—
144C2×C22⋊D43—22no—
145C2×C22⋊D43—22no—
146C2×C22⋊D43—22no—
147C2×C22⋊D43—22no—
148C2×C22⋊D43C4214yescomplemented
149C2×C22⋊D43C22×C414yes—
150C22×Dic43—22no—
151C22×Dic43—24no—
152C22×Dic43—81no—
153C22×Dic43—81no—
154C22×Dic43C22×C411yescharacteristic
155C22×Dic43C22×C411yescharacteristic
156C22×Dic43C22×C411yescharacteristic
157C22×Dic43C22×C411yescharacteristic
158C22×Dic43C22×C411yescharacteristic
159C22×Dic43C2×D414yes—
160D4×D43—216no—
161D4×D43—216no—
162C2×D172—22no—
163C2×D172—22no—
164C2×D172C4214yescomplemented
165C2×C4×D43—22no—
166C2×C4×D43—22no—
167C2×C4×D43—22no—
168C2×C4×D43—22no—
169C2×C4×D43—22no—
170C2×C4×D43—22no—
171C2×C4×D43—216no—
172C2×C4×D43—84no—
173C2×C4×D43—84no—
174C2×C4×D43—81no—
175C2×C4×D43—81no—
176C2×C4×D43—81no—
177C2×C4×D43—81no—
178C2×C4×D43C4214yescomplemented
179C4⋊C4×C43—22no—
180C22⋊C4×C43—22no—
181C22⋊C4×C43—22no—
182C22⋊C4×C43—24no—
183C22⋊C4×C43C22×C418yes—
184C42×C43—21no—
185C42×C43—21no—
186C42×C43—82no—
187C22⋊Dic43—22no—
188C22⋊Dic43—22no—
189C22⋊Dic43—24no—
190C22⋊Dic43C22×C418yes—
191(C2×D43)⋊C4—21no—
192(C2×D43)⋊C4—21no—
193(C2×D43)⋊C4—22no—
194(C2×D43)⋊C4—22no—
195(C2×D43)⋊C4—22no—
196(C2×D43)⋊C4—216no—
197(C2×D43)⋊C4C22⋊C414yes—
198(C2×D43)⋊C4C22⋊C412yes—
199(C2×D43)⋊C4C22⋊C412yes—
200(C2×D43)⋊C4C22⋊C414yes—
201(C2×D43)⋊C4C22⋊C412yes—
202(C2×D43)⋊C4C22⋊C412yes—
203C4⋊Dic43—22no—
204Dic43⋊C4—21no—
205Dic43⋊C4—21no—
206Dic43⋊C4—22no—
207C4×Dic43—22no—
208C4×Dic43—22no—
209C4×Dic43—22no—
210C4×Dic43—84no—
211C4×Dic43—82no—
212C23×C43—21no—
213C23×C43—21no—
214C23×C43—41no—
215C23×C43—41no—
216C23×C43—41no—
217C23×C43—41no—
218C23×C43C2×C4212yes—
219C23×C43C23×C411yescharacteristic
220C23×C43C23×C412yes—
221C23×C43C22×D412yes—
222C23×C43C2×#4112yes—
223C22×D43—21no—
224C22×D43—21no—
225C22×D43—28no—
226C22×D43—41no—
227C22×D43—41no—
228C22×D43—44no—
229C22×D43—44no—
230C22×D43—41no—
231C22×D43—41no—
232C22×D43—41no—
233C22×D43—41no—
234C22×D43—82no—
235C22×D43—82no—
236C22×D43—84no—
237C22×D43—84no—
238C22×D43—84no—
239C22×D43—84no—
240C22×D43C2×C4212yes—
241C22×D43C2×C4212yes—
242C22×D43C2×C4212yes—
243C22×D43C2×C22⋊C412yes—
244C22×D43C2×C22⋊C412yes—
245C22×D43#11712yes—
246C22×D43#11712yes—
247C22×D43C4×D418yes—
248C22×D43C4×D418yes—
249D4×C43—28no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—28no—
255C2×C4×C43—42no—
256C2×C4×C43—42no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—44no—
260C2×C4×C43—44no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—81no—
264C2×C4×C43—81no—
265C2×C4×C43C2×C4212yes—
266C2×C4×C43C2×C22⋊C412yes—
267C2×C4×C43C2×C22⋊C411yescharacteristic
268C2×C4×C43C2×C22⋊C411yescharacteristic
269C22⋊D43—28no—
270C22⋊D43—28no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—28no—
276C2×Dic43—44no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—44no—
280C2×Dic43—44no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—82no—
284C2×Dic43C2×C4212yes—
285C2×Dic43C2×C22⋊C412yes—
286C2×Dic43C2×C22⋊C412yes—
287D172—28no—
288C4×D43—28no—
289C4×D43—82no—
290C4×D43—82no—
291C4×D43—82no—
292C4×D43—82no—
293C4×D43—816no—
294#20392—431nomaximal, Sylow
295C22×C43—21no—
296C22×C43—21no—
297C22×C43—22no—
298C22×C43—22no—
299C22×C43—22no—
300C22×C43—42no—
301C22×C43—42no—
302C22×C43—42no—
303C22×C43—42no—
304C22×C43—41no—
305C22×C43—41no—
306C22×C43C22×C4211yescharacteristic
307C22×C43C22×C22⋊C411yescharacteristic
308C22×C43C2×#11711yescharacteristic
309C22×C43C2×C4×D414yes—
310C2×D43—22no—
311C2×D43—22no—
312C2×D43—22no—
313C2×D43—22no—
314C2×D43—22no—
315C2×D43—42no—
316C2×D43—42no—
317C2×D43—42no—
318C2×D43—42no—
319C2×D43—48no—
320C2×D43—48no—
321C2×D43—42no—
322C2×D43—41no—
323C2×D43—41no—
324C2×D43—42no—
325C2×D43—88no—
326C2×D43C4×C22⋊C414yes—
327C2×D43C4×C22⋊C414yes—
328C4×C43—22no—
329C4×C43—21no—
330C4×C43—21no—
331C4×C43—22no—
332C4×C43—48no—
333C4×C43—41no—
334C4×C43—41no—
335Dic43—22no—
336Dic43—22no—
337Dic43—22no—
338Dic43—48no—
339Dic43—41no—
340Dic43—41no—
341C2×#518—431no—
342C22×#99—432no—
343#2273—432no—
344C4×#99—432no—
345C4×#99—432no—
346C4×#99—432no—
347C4×#99—431no—
348C4×#99D4311yescharacteristic, complemented
349C2×#342—432no—
350C2×C43—24no—
351C2×C43—21no—
352C2×C43—21no—
353C2×C43—42no—
354C2×C43C2×C4×C22⋊C411yescharacteristic
355C2×C43#288311yescharacteristic
356C2×C43#288311yescharacteristic
357D43—24no—
358D43—24no—
359D43—42no—
360C23×D4—431no—
361#518—864no—
362#518—864no—
363C2×C4×D4—431no—
364C2×C4×D4—431no—
365C2×C4×D4—431no—
366C2×C4×D4—431no—
367C2×C4×D4—431no—
368C2×C4×D4—431no—
369C2×C4×D4—431no—
370C2×C4×D4C2×D4311yescharacteristic
371C2×#117—431no—
372C2×#117—431no—
373C22×C22⋊C4—431no—
374C22×C22⋊C4—434no—
375C22×C22⋊C4—431no—
376C22×C22⋊C4—431no—
377C22×C22⋊C4—431no—
378C2×#99—432no—
379C2×#99—434no—
380C2×#99—4316no—
381C2×#99C2×D4312yes—
382C4×C22⋊C4—432no—
383C4×C22⋊C4—434no—
384C4×C22⋊C4—864no—
385C4×C22⋊C4—864no—
386C4×C22⋊C4C2×D4312yescomplemented
387#342—434no—
388#342—432no—
389#342C2×D4312yescomplemented
390C43#2039211yescharacteristic, complemented, Sylow
391C25—431no—
392C25—431no—
393C22×D4—431no—
394C22×D4—431no—
395C22×D4—438no—
396C22×D4—431no—
397C22×D4—864no—
398C22×D4—864no—
399C22×D4C22×D4311yescharacteristic
400C23×C4—431no—
401C23×C4—431no—
402C23×C4—431no—
403C23×C4—431no—
404C23×C4—431no—
405C23×C4—431no—
406C23×C4—431no—
407C23×C4—864no—
408C23×C4C4×D4311yescharacteristic, complemented
409C23×C4C22×D4311yescharacteristic
410C4×D4—22no—
411C4×D4—22no—
412C4×D4—862no—
413C4×D4—862no—
414C4×D4—864no—
415C4×D4—864no—
416C4×D4—864no—
417C4×D4—862no—
418C4×D4—862no—
419C4×D4—864no—
420C4×D4—862no—
421C4×D4—862no—
422#117—862no—
423#117—862no—
424#117—864no—
425C2×C4⋊C4—431no—
426C2×C4⋊C4—431no—
427C2×C4⋊C4—431no—
428C2×C4⋊C4C4×D4311yescharacteristic, complemented
429C2×C22⋊C4—431no—
430C2×C22⋊C4—431no—
431C2×C22⋊C4—431no—
432C2×C22⋊C4—431no—
433C2×C22⋊C4—434no—
434C2×C22⋊C4—434no—
435C2×C22⋊C4—434no—
436C2×C22⋊C4—4316no—
437C2×C22⋊C4—431no—
438C2×C22⋊C4—431no—
439C2×C22⋊C4—431no—
440C2×C22⋊C4—431no—
441C2×C22⋊C4—431no—
442C2×C22⋊C4—431no—
443C2×C22⋊C4—864no—
444C2×C22⋊C4—864no—
445C2×C22⋊C4—868no—
446C2×C22⋊C4—862no—
447C2×C22⋊C4—862no—
448C2×C22⋊C4—864no—
449C2×C22⋊C4C4×D4311yescharacteristic, complemented
450C2×C22⋊C4C22×D4311yescharacteristic
451C2×C22⋊C4C22×D4314yes—
452C2×C42—22no—
453C2×C42—431no—
454C2×C42—431no—
455C2×C42—431no—
456C2×C42—864no—
457C2×C42—862no—
458C2×C42C4×D4311yescharacteristic, complemented
459#99—438no—
460#99—4316no—
461#99C4×D4318yescomplemented
462#95—22no—
463#95—864no—
464#95—862no—
465C24—434no—
466C24—434no—
467C24—431no—
468C24—431no—
469C24—434no—
470C24—434no—
471C24—431no—
472C24—862no—
473C24—862no—
474C24—3441no—
475C24—3441no—
476C24—3441no—
477C24—3441no—
478C24C2×C4×D4311yescharacteristic
479C24C23×D4311yescharacteristic
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—434no—
483C2×D4—434no—
484C2×D4—434no—
485C2×D4—862no—
486C2×D4—862no—
487C2×D4—8616no—
488C2×D4—8616no—
489C2×D4—862no—
490C2×D4—862no—
491C2×D4—862no—
492C2×D4—862no—
493C2×D4C2×C4×D4314yes—
494C22×C4—24no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—81no—
498C22×C4—81no—
499C22×C4—431no—
500C22×C4—431no—
501C22×C4—431no—
502C22×C4—434no—
503C22×C4—434no—
504C22×C4—431no—
505C22×C4—431no—
506C22×C4—862no—
507C22×C4—862no—
508C22×C4—862no—
509C22×C4—8616no—
510C22×C4—862no—
511C22×C4—862no—
512C22×C4—862no—
513C22×C4—864no—
514C22×C4—862no—
515C22×C4—3444no—
516C22×C4—3444no—
517C22×C4—3441no—
518C22×C4—3441no—
519C22×C4—3441no—
520C22×C4—3441no—
521C22×C4—3441no—
522C22×C4—3441no—
523C22×C4C2×C4×D4311yescharacteristic
524C22×C4C2×C4×D4311yescharacteristic
525C22×C4C2×C4×D4311yescharacteristic
526C22×C4C2×C4×D4311yescharacteristic
527C22×C4C2×C4×D4311yescharacteristic
528C22×C4D4×D4312yes—
529C22×C4D4×D4312yes—
530C4⋊C4—22no—
531C4⋊C4—862no—
532C4⋊C4—862no—
533C4⋊C4—861no—
534C4⋊C4—861no—
535C22⋊C4—22no—
536C22⋊C4—24no—
537C22⋊C4—22no—
538C22⋊C4—432no—
539C22⋊C4—432no—
540C22⋊C4—434no—
541C22⋊C4—432no—
542C22⋊C4—432no—
543C22⋊C4—434no—
544C22⋊C4—438no—
545C22⋊C4—862no—
546C22⋊C4—862no—
547C22⋊C4—862no—
548C22⋊C4—8616no—
549C22⋊C4—862no—
550C22⋊C4—862no—
551C22⋊C4—864no—
552C22⋊C4—861no—
553C22⋊C4—861no—
554C22⋊C4C2×C4×D4318yes—
555C42—21no—
556C42—21no—
557C42—82no—
558C42—862no—
559C42—862no—
560C42—862no—
561C42—3442no—
562C42—3444no—
563C23—21no—
564C23—21no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—432no—
570C23—432no—
571C23—432no—
572C23—432no—
573C23—432no—
574C23—432no—
575C23—438no—
576C23—438no—
577C23—432no—
578C23—868no—
579C23—861no—
580C23—861no—
581C23—3442no—
582C23—3442no—
583C23—3444no—
584C23—3444no—
585C23—3444no—
586C23—3444no—
587C23—1724no—
588C23—1721no—
589C23—1724no—
590C23—1721no—
591C23—1721no—
592C23—1721no—
593C23—1721no—
594C23—1721no—
595C23C42×D4312yes—
596C23C22×C4×D4311yescharacteristic
597C23C22×C4×D4312yes—
598C23C2×D4×D4312yes—
599C23#41×D4312yes—
600D4—28no—
601D4—868no—
602D4—868no—
603D4—868no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—28no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—81no—
618C2×C4—81no—
619C2×C4—432no—
620C2×C4—432no—
621C2×C4—432no—
622C2×C4—868no—
623C2×C4—861no—
624C2×C4—861no—
625C2×C4—861no—
626C2×C4—861no—
627C2×C4—868no—
628C2×C4—3442no—
629C2×C4—3442no—
630C2×C4—3442no—
631C2×C4—3442no—
632C2×C4—34416no—
633C2×C4—3442no—
634C2×C4—1724no—
635C2×C4—1721no—
636C2×C4—1721no—
637C2×C4—1724no—
638C2×C4—1724no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4C42×D4312yes—
642C2×C4C22⋊C4×D4311yescharacteristic
643C2×C4C22⋊C4×D4311yescharacteristic
644C2×C4C22⋊C4×D4312yes—
645C22—22no—
646C22—21no—
647C22—22no—
648C22—21no—
649C22—22no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—41no—
655C22—41no—
656C22—434no—
657C22—434no—
658C22—862no—
659C22—862no—
660C22—862no—
661C22—862no—
662C22—862no—
663C22—3448no—
664C22—1728no—
665C22—1722no—
666C22—1722no—
667C22—1728no—
668C22—1722no—
669C22—1722no—
670C22—1722no—
671C22—1722no—
672C22—1721no—
673C22—1721no—
674C22C2×C42×D4311yescharacteristic
675C22C2×C22⋊C4×D4311yescharacteristic
676C22#117×D4311yescharacteristic
677C22C4×D4×D4314yes—
678C4—21no—
679C4—21no—
680C4—22no—
681C4—22no—
682C4—48no—
683C4—41no—
684C4—41no—
685C4—862no—
686C4—862no—
687C4—862no—
688C4—1728no—
689C4—1721no—
690C4—1721no—
691C2—24no—
692C2—21no—
693C2—21no—
694C2—42no—
695C2—864no—
696C2—864no—
697C2—1722no—
698C2C4×C22⋊C4×D4311yescharacteristic
699C2#1914305311yescharacteristic
700C2#1914305411yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC22×C43C22×C42
FrattiniC24C23×D43
FittingC4×#99×C43C2
socleC22×C43C22×C22⋊C4
prime radicalC22×D4×D43C22
cosocleC24×C43C24
hypercenterC4×#99D43
hypocenterC43#20392
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C4×#99

Complements

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

NH ≅ G/Ntype
3. #19136947C2semidirect
4. #99×Dic43C2semidirect
5. C4×#13063239C2semidirect
6. C4×#13063240C2semidirect
7. #19134382C2semidirect
8. #342×D43C2semidirect
9. C4×#99×C43C2semidirect
13. C2×C4×D172C4semidirect
15. C2×#13063287C4semidirect
16. C2×C4×C22⋊D43C4semidirect
18. C2×(C22⋊D43)⋊C4C4semidirect
20. C2×#13063283C4semidirect
21. C2×#13063282C4semidirect
22. C22×(C2×D43)⋊C4C4semidirect
24. C2×C22⋊C4×D43C4semidirect
29. #99×D43C4semidirect
30. C22⋊C4×Dic43C22semidirect
32. C4×C22⋊Dic43C22semidirect
34. #14582666C22semidirect
35. #14582665C22semidirect
38. C4×C22⋊C4×C43C22semidirect
39. C43×#342C22semidirect
48. C23×Dic43C2×C4semidirect
54. C22×C4×D43C2×C4semidirect
55. C22×C4×D43C2×C4semidirect
69. C2×C4⋊Dic43C2×C4semidirect
70. C2×Dic43⋊C4C2×C4semidirect
71. C2×Dic43⋊C4C2×C4semidirect
72. C2×C22⋊Dic43C2×C4semidirect
84. C2×(C2×D43)⋊C4C2×C4semidirect
85. C2×(C2×D43)⋊C4C2×C4semidirect
91. C22⋊C4×D43C2×C4semidirect
94. C2×C4×Dic43C2×C4semidirect
95. C2×C4×Dic43C2×C4semidirect
96. C2×C4×Dic43C2×C4semidirect
97. #13063240C2×C4semidirect
98. #13063239C2×C4semidirect
102. C23×C4×C43C2×C4semidirect
106. C2×C4⋊C4×C43C2×C4semidirect
107. C2×C22⋊C4×C43C2×C4semidirect
111. C2×C42×C43C2×C4semidirect
112. #99×C43C2×C4semidirect
122. C23×D43C42semidirect
148. C2×C22⋊D43C42semidirect
164. C2×D172C42semidirect
178. C2×C4×D43C42semidirect
348. C4×#99D43semidirect
386. C4×C22⋊C4C2×D43semidirect
389. #342C2×D43semidirect
390. C43#20392semidirect
408. C23×C4C4×D43semidirect
428. C2×C4⋊C4C4×D43semidirect
449. C2×C22⋊C4C4×D43semidirect
458. C2×C42C4×D43semidirect
461. #99C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145833712
C2×#99×D432
#191369472
#99×Dic432
C4×#130632392
C4×#130632402
#191343822
#342×D432
C4×#99×C432
#2039243