Finite Group Databasebeta

← #25125739

Subgroups — #25125739

Order 11008.

1092 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#10621882C211yesmaximal, characteristic, complemented
2C4×#13063321C211yesmaximal, characteristic, complemented
3#19137060C211yesmaximal, characteristic, complemented
4#19136069C211yesmaximal, characteristic, complemented
5#19136001C211yesmaximal, characteristic, complemented
6#19135979C211yesmaximal, characteristic, complemented
7#19135978C211yesmaximal, characteristic, complemented
8#19135904C211yesmaximal, characteristic, complemented
9#19135903C211yesmaximal, characteristic, complemented
10#19135828C211yesmaximal, characteristic, complemented
11#19135664C211yesmaximal, characteristic
12C4×Dic43⋊C8C211yesmaximal, characteristic, complemented
13C4×#13063247C211yesmaximal, characteristic, complemented
14C4×#13063246C211yesmaximal, characteristic, complemented
15C2×C4×D8×C43C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17C2×#13063321C2211yescharacteristic
18C2×C4×D172C2211yescharacteristic
19C2×C4×C22⋊D43—21no—
20C2×C4×C22⋊D43—21no—
21C2×#13063284—21no—
22C4×#10621882—24no—
23C2×#13063258C2211yescharacteristic
24C2×Dic43⋊C8C2211yescharacteristic
25C2×Dic43⋊C8C2211yescharacteristic
26C2×#13063247C2211yescharacteristic
27C2×#13063247C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×#13063245C2211yescharacteristic
32C2×C4×C43⋊C8C2211yescharacteristic
33#14582802C2211yescharacteristic
34#14582802C2211yescharacteristic
35#14582802C2211yescharacteristic
36#14582800C2211yescharacteristic
37#14582799—21no—
38#14582799—21no—
39#14582798C2211yescharacteristic
40#14582798C2211yescharacteristic
41#14582792—21no—
42#14582792—21no—
43#14582768C2211yescharacteristic
44C4×C4⋊Dic43C2211yescharacteristic
45C4×C22⋊Dic43—21no—
46C42×Dic43C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C22×D8×C43C2211yescharacteristic
54C2×C4×D4×C43C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C4×D8×C43—24no—
57C2×#107×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×C4×C8×C43C2211yescharacteristic
61C22×D172C2311yescharacteristic
62C22×C22⋊D43—21no—
63C22×C22⋊D43—21no—
64C22×C4×D43—21no—
65C2×#10621882—22no—
66C2×#10621882—22no—
67C2×#10621882—22no—
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70#13063321—22no—
71#13063321—22no—
72C4×D172—22no—
73C4×D172—22no—
74C4×C22⋊D43—44no—
75C4×C22⋊D43—44no—
76#13063284—44no—
77C2×C4⋊Dic43—21no—
78C2×C4⋊Dic43—21no—
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×Dic43⋊C4—21no—
83C2×Dic43⋊C4—21no—
84C2×C22⋊Dic43—21no—
85C2×C22⋊Dic43—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×(C2×D43)⋊C4—21no—
91C2×(C2×D43)⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43D411yescharacteristic
95C2×C4×Dic43D411yescharacteristic
96C2×C4×Dic43D411yescharacteristic
97C2×C4×Dic43D411yescharacteristic
98C2×C4×Dic43C2311yescharacteristic
99C2×C4×Dic43C2311yescharacteristic
100#13063258—22no—
101Dic43⋊C8—22no—
102Dic43⋊C8—22no—
103#13063247—22no—
104#13063247—22no—
105#13063246—22no—
106#13063246—22no—
107#13063246—22no—
108#13063245—22no—
109C4×C43⋊C8—22no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C22×D4×C43C2311yescharacteristic
114C22×D4×C43C2311yescharacteristic
115C23×C4×C43—21no—
116C23×C4×C43—21no—
117C2×D8×C43—22no—
118C2×D8×C43—22no—
119C2×D8×C43—22no—
120C22×C8×C43C2311yescharacteristic
121C22×C8×C43C2311yescharacteristic
122C4×D4×C43—22no—
123C4×D4×C43—22no—
124C4×D4×C43—22no—
125C4×D4×C43D414yescomplemented
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C22⋊C4×C43—21no—
129C2×C22⋊C4×C43—21no—
130C2×C42×C43C2311yescharacteristic
131#107×C43—22no—
132#102×C43—22no—
133#102×C43—22no—
134C4×C8×C43—22no—
135C24×C43—21no—
136C24×C43—21no—
137C23×D43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43C2×D412yes—
149C2×D4×C43#4112yes—
150C22×C4×C43—24no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—42no—
154C22×C4×C43—42no—
155C22×C4×C43—42no—
156C22×C4×C43—42no—
157C22×C4×C43—42no—
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2411yescharacteristic
161C2×C22⋊D43—24no—
162C2×C22⋊D43—24no—
163C2×C22⋊D43—42no—
164C2×C22⋊D43—42no—
165C2×C22⋊D43—42no—
166C2×C22⋊D43—42no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172—21no—
178C2×D172—21no—
179C2×D172#4112yes—
180C2×C4×D43—42no—
181C2×C4×D43—42no—
182C2×C4×D43—42no—
183D8×C43—28no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43#4112yes—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43C2×D412yes—
194C22⋊C4×C43—24no—
195C22⋊C4×C43—42no—
196C42×C43C2×D412yes—
197C42×C43#4112yes—
198C22⋊Dic43—42no—
199C22⋊Dic43—42no—
200C22⋊Dic43—42no—
201C22⋊Dic43—42no—
202C22⋊Dic43—42no—
203C22⋊Dic43—42no—
204#10621882—28no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—42no—
207(C2×D43)⋊C4—42no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—42no—
215C4⋊Dic43—42no—
216Dic43⋊C4—42no—
217Dic43⋊C4—42no—
218C4×Dic43—22no—
219C4×Dic43—21no—
220C4×Dic43—21no—
221C4×Dic43—21no—
222C4×Dic43—21no—
223C4×Dic43—22no—
224C4×Dic43—41no—
225C4×Dic43—42no—
226C4×Dic43D814yescomplemented
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8#4112yes—
233C23×C43—22no—
234C23×C43—22no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43C22×D411yescharacteristic
248C22×D43—22no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255D4×C43—22no—
256D4×C43—22no—
257D4×C43—22no—
258D4×C43—22no—
259D4×C43—41no—
260D4×C43—41no—
261D4×C43—41no—
262D4×C43—41no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—22no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—48no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—84no—
273C2×C4×C43#12112yes—
274C2×C4×C43#12112yes—
275C2×C4×C43C2×D812yes—
276C2×C4×C43AGL(1,ℤ/8)12yes—
277C2×C4×C43C22×D411yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C22⋊D43—48no—
284C22⋊D43—48no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43C2×D812yes—
304C2×Dic43C2×D812yes—
305C2×Dic43#13512yes—
306D172—22no—
307D172—22no—
308D172—41no—
309D172—41no—
310C4×D43—84no—
311C8×C43—22no—
312C8×C43—41no—
313C43⋊C8—22no—
314C43⋊C8—41no—
315#23676—431nomaximal, Sylow
316C22×C43—42no—
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—81no—
323C22×C43—81no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43—81no—
329C22×C43—81no—
330C22×C43C2×#12111yescharacteristic
331C22×C43#52511yescharacteristic
332C22×C43#53211yescharacteristic
333C22×C43C22×D811yescharacteristic
334C22×C43C2×#13511yescharacteristic
335C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
336C22×C43#57511yescharacteristic
337C2×D43—42no—
338C2×D43—42no—
339C2×D43—42no—
340C2×D43—81no—
341C2×D43—81no—
342C2×D43—81no—
343C2×D43—81no—
344C4×C43—22no—
345C4×C43—42no—
346C4×C43—81no—
347C4×C43#45914yes—
348C4×C43#52511yescharacteristic
349C4×C43#52511yescharacteristic
350C4×C43#52911yescharacteristic
351C4×C43#52911yescharacteristic
352Dic43—22no—
353Dic43—22no—
354Dic43—22no—
355Dic43—41no—
356Dic43—81no—
357Dic43—81no—
358Dic43—81no—
359C2×C4×D8—431no—
360C2×C4×D8D4311yescharacteristic, complemented
361C4×#127—431no—
362#2293—431no—
363#2083—431no—
364#2071—431no—
365#2067—431no—
366#2067—431no—
367#2054—431no—
368#2054—431no—
369#2041—431no—
370#2011—431no—
371C4×C4⋊C8—431no—
372C4×#102—431no—
373C4×#102—431no—
374C2×C43—82no—
375C2×C43—82no—
376C2×C43#239211yescharacteristic
377C2×C43C2×#45911yescharacteristic
378C2×C43#303511yescharacteristic
379C2×C43#310011yescharacteristic
380C2×C43#310511yescharacteristic
381C2×C43#316911yescharacteristic
382C2×C43#317111yescharacteristic
383D43—82no—
384C22×D8—431no—
385C22×D8C2×D4311yescharacteristic
386C2×#127—431no—
387C2×C4×D4—431no—
388C2×C4×D4—861no—
389C2×C4×D4—861no—
390C2×C4×D4C2×D4311yescharacteristic
391C2×C4×D4C2×D4311yescharacteristic
392C2×#117—861no—
393C4×D8—24no—
394C4×D8—864no—
395C2×#107—431no—
396C2×#107C2×D4311yescharacteristic
397C2×C4⋊C8—431no—
398C2×C4⋊C8—431no—
399C2×#102—431no—
400C2×#102—431no—
401C2×#102—431no—
402C2×#102—431no—
403C2×#102—431no—
404C2×#102—431no—
405C2×#102C2×D4311yescharacteristic
406C2×#102C2×D4311yescharacteristic
407C2×C4×C8—431no—
408C2×C4×C8C2×D4311yescharacteristic
409#390—431no—
410#390—431no—
411#390—431no—
412#390—431no—
413#390—861no—
414#390—861no—
415#389—431no—
416#389—431no—
417#388—861no—
418#388—861no—
419#384—431no—
420C4×C4⋊C4—431no—
421C4×C22⋊C4—861no—
422C43—431no—
423#340—431no—
424#340—431no—
425#340—431no—
426#340—431no—
427#336—431no—
428#336—431no—
429C43#2367611yescharacteristic, complemented, Sylow
430C22×D4—431no—
431C22×D4—861no—
432C22×D4—861no—
433C22×D4C22×D4311yescharacteristic
434C22×D4C22×D4311yescharacteristic
435C23×C4—21no—
436C23×C4—21no—
437C23×C4—861no—
438C2×D8—22no—
439C2×D8—22no—
440C2×D8—22no—
441C2×D8—862no—
442C2×D8—862no—
443C2×D8—862no—
444C22×C8—431no—
445C22×C8—431no—
446C22×C8C22×D4311yescharacteristic
447C22×C8C22×D4311yescharacteristic
448#127—862no—
449#127—862no—
450C4×D4—22no—
451C4×D4—22no—
452C4×D4—22no—
453C4×D4—862no—
454C4×D4—862no—
455C4×D4—1724no—
456C4×D4—1724no—
457C4×D4C22⋊D4314yescomplemented
458#117—1724no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4C22×D4311yescharacteristic
467C2×C4⋊C4C22×D4311yescharacteristic
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C42—431no—
480C2×C42—431no—
481C2×C42—431no—
482C2×C42—431no—
483C2×C42—431no—
484C2×C42—431no—
485C2×C42—861no—
486C2×C42C22×D4311yescharacteristic
487#107—22no—
488#107—862no—
489C4⋊C8—862no—
490C4⋊C8—862no—
491#102—22no—
492#102—22no—
493#102—862no—
494#102—862no—
495#102—862no—
496#102—862no—
497#102—862no—
498#102—862no—
499C4×C8—22no—
500C4×C8—862no—
501#95—861no—
502#95—861no—
503#95—861no—
504C24—21no—
505C24—21no—
506C24—861no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—432no—
518C2×D4—864no—
519C2×D4—864no—
520C2×D4—861no—
521C2×D4—861no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—861no—
525C2×D4—1722no—
526C2×D4—1722no—
527C2×D4—1722no—
528C2×D4—1722no—
529C2×D4#1062189812yes—
530C2×D4C2×C22⋊D4312yes—
531C22×C4—21no—
532C22×C4—24no—
533C22×C4—21no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—431no—
540C22×C4—431no—
541C22×C4—431no—
542C22×C4—431no—
543C22×C4—861no—
544C22×C4—861no—
545C22×C4—861no—
546C22×C4—1722no—
547C22×C4—1722no—
548C22×C4—1722no—
549C22×C4D4×D4311yescharacteristic
550C22×C4D4×D4311yescharacteristic
551C22×C4C23×D4311yescharacteristic
552D8—28no—
553D8—868no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—432no—
560C2×C8—861no—
561C2×C8—861no—
562C2×C8—861no—
563C2×C8—861no—
564C2×C8—861no—
565C2×C8#1062189812yes—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—1722no—
576C4⋊C4—1722no—
577C4⋊C4—1722no—
578C4⋊C4—1722no—
579C4⋊C4C2×C22⋊D4312yes—
580C22⋊C4—24no—
581C22⋊C4—42no—
582C22⋊C4—1722no—
583C22⋊C4—1722no—
584C22⋊C4—1722no—
585C22⋊C4—1722no—
586C22⋊C4—1722no—
587C22⋊C4—1722no—
588C22⋊C4—1722no—
589C22⋊C4—1722no—
590C22⋊C4—1722no—
591C42—434no—
592C42—862no—
593C42—862no—
594C42—861no—
595C42—861no—
596C42—861no—
597C42—861no—
598C42—1721no—
599C42—1722no—
600C42#1062190012yes—
601C42C2×C22⋊D4312yes—
602C23—22no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—862no—
617C23—1721no—
618C23—1721no—
619C23—1721no—
620C23—1721no—
621C23—1721no—
622C23—1721no—
623C23C2×D4×D4311yescharacteristic
624D4—22no—
625D4—22no—
626D4—22no—
627D4—22no—
628D4—41no—
629D4—41no—
630D4—41no—
631D4—41no—
632D4—862no—
633D4—862no—
634D4—1728no—
635D4—1728no—
636D4—1721no—
637D4—1721no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—48no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—84no—
648C2×C4—432no—
649C2×C4—432no—
650C2×C4—432no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—861no—
654C2×C4—861no—
655C2×C4—861no—
656C2×C4—861no—
657C2×C4—861no—
658C2×C4—861no—
659C2×C4—861no—
660C2×C4—3444no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4#1306329712yes—
671C2×C4#1306329712yes—
672C2×C4D8×D4312yes—
673C2×C4#1306334912yes—
674C2×C4C22×C22⋊D4311yescharacteristic
675C2×C4#41×D4311yescharacteristic
676C2×C4#41×D4311yescharacteristic
677C2×C4C2×#1062190011yescharacteristic
678C2×C4C2×#1062189811yescharacteristic
679C2×C4C2×#1062189811yescharacteristic
680C8—22no—
681C8—41no—
682C8—862no—
683C8—1721no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—3441no—
699C22—3441no—
700C22—3441no—
701C22—3441no—
702C22—1722no—
703C22—1722no—
704C22—1722no—
705C22C2×#1306329711yescharacteristic
706C22#1458340811yescharacteristic
707C22#1458344611yescharacteristic
708C22C2×D8×D4311yescharacteristic
709C22#135×D4311yescharacteristic
710C22C2×#1306334911yescharacteristic
711C22#1458369611yescharacteristic
712C4—22no—
713C4—42no—
714C4—81no—
715C4—862no—
716C4—862no—
717C4—862no—
718C4—3441no—
719C4—3441no—
720C4—3441no—
721C4—1721no—
722C4#1458309214yes—
723C4#1458340611yescharacteristic
724C4#1458341011yescharacteristic
725C4#1458342911yescharacteristic
726C4#1458343111yescharacteristic
727C2—82no—
728C2—82no—
729C2—3442no—
730C2#1913783711yescharacteristic
731C2C2×#1458309211yescharacteristic
732C2#1914404611yescharacteristic
733C2#1914459311yescharacteristic
734C2#1914464011yescharacteristic
735C2#1914517111yescharacteristic
736C2#1914518811yescharacteristic
subgroupG/H
centerC22×C4D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C4×D8×C43C2
socleC23×C43C22×D4
prime radical#19135664C2
hypercenterC2×C4×D8D43
hypocenterC43#23676
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C2×C4×D8

Complements

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

NH ≅ G/Ntype
1. C2×C4×#10621882C2semidirect
2. C4×#13063321C2semidirect
3. #19137060C2semidirect
4. #19136069C2semidirect
5. #19136001C2semidirect
6. #19135979C2semidirect
7. #19135978C2semidirect
8. #19135904C2semidirect
9. #19135903C2semidirect
10. #19135828C2semidirect
12. C4×Dic43⋊C8C2semidirect
13. C4×#13063247C2semidirect
14. C4×#13063246C2semidirect
15. C2×C4×D8×C43C2semidirect
125. C4×D4×C43D4semidirect
226. C4×Dic43D8semidirect
360. C2×C4×D8D43semidirect
429. C43#23676semidirect
457. C4×D4C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#106218822
C4×#130633212
#191370602
#191360692
#191360012
#191359792
#191359782
#191359042
#191359032
#191358282
#191356642
C4×Dic43⋊C82
C4×#130632472
C4×#130632462
C2×C4×D8×C432
#2367643