Finite Group Databasebeta

← #25113477

Subgroups — #25113477

Order 11008.

1118 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583634C211yesmaximal, characteristic
2C2×#14583030C211yesmaximal, characteristic, complemented
3#19135527C211yesmaximal, characteristic, complemented
4#19135527C211yesmaximal, characteristic, complemented
5#19135522C211yesmaximal, characteristic
6#19135418C211yesmaximal, characteristic
7#19135409C211yesmaximal, characteristic, complemented
8#19135404C211yesmaximal, characteristic, complemented
9#19134607C211yesmaximal, characteristic, complemented
10#19134602C211yesmaximal, characteristic, complemented
11#19134592C211yesmaximal, characteristic, complemented
12#19134428C211yesmaximal, characteristic, complemented
13#19134423C211yesmaximal, characteristic, complemented
14C4×#13063245C211yesmaximal, characteristic, complemented
15C43×#2355C211yesmaximal, characteristic, complemented
16#14583634—24no—
17#14583634C418yescomplemented
18C2×#13063322C2211yescharacteristic
19C2×#13063314—21no—
20C2×#13063313C2211yescharacteristic
21C2×#13063313C2211yescharacteristic
22C2×#13063310—21no—
23C2×#13063310—21no—
24C2×C4×Dic86C2211yescharacteristic
25C2×C4×D172C2211yescharacteristic
26C2×C4×D172C2211yescharacteristic
27C2×#13063287—21no—
28#14583030—24no—
29C2×C4⋊(C43⋊C8)C2211yescharacteristic
30C2×C4⋊(C43⋊C8)C2211yescharacteristic
31C2×C4⋊(C43⋊C8)C2211yescharacteristic
32C2×#13063248C2211yescharacteristic
33C2×#13063248C2211yescharacteristic
34C2×#13063248C2211yescharacteristic
35C2×#13063248C2211yescharacteristic
36C2×#13063245C2211yescharacteristic
37C2×#13063245C2211yescharacteristic
38C2×#13063245C2211yescharacteristic
39C2×#13063245C2211yescharacteristic
40C2×#13063245C2211yescharacteristic
41C2×#13063245C2211yescharacteristic
42C2×#13063245C2211yescharacteristic
43C2×#13063245C2211yescharacteristic
44C2×#13063236C2211yescharacteristic
45C2×#13063236C2211yescharacteristic
46C2×C4×C43⋊C8C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51C2×C4×Q8×C43C2211yescharacteristic
52C43×#391—21no—
53C43×#387—21no—
54C43×#387—21no—
55C43×#384C2211yescharacteristic
56C43×#382C2211yescharacteristic
57C43×#382C2211yescharacteristic
58C4×C4⋊C4×C43—21no—
59C4×C4⋊C4×C43C2211yescharacteristic
60C4×C4⋊C4×C43C2211yescharacteristic
61C4×C4⋊C4×C43C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×D172—21no—
64C22×D172—21no—
65C22×D172C2311yescharacteristic
66C22×D172C2311yescharacteristic
67C22×C4×D43—21no—
68C22×C4×D43—21no—
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72C22×C43⋊C8C2311yescharacteristic
73#13063322—22no—
74#13063322C2×C414yes—
75#13063314—28no—
76#13063313—22no—
77#13063313—22no—
78#13063313C2×C414yes—
79#13063313C2×C414yes—
80#13063310—28no—
81#13063310—28no—
82C4×Dic86—22no—
83C4×Dic86C2×C414yes—
84C4×D172—22no—
85C4×D172—22no—
86C4×D172C2×C414yes—
87C4×D172C2×C414yes—
88#13063287—28no—
89C2×C4⋊Dic43C2311yescharacteristic
90C2×Dic43⋊C4—21no—
91C2×(C2×D43)⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×C4×Dic43—21no—
98C4⋊(C43⋊C8)—22no—
99C4⋊(C43⋊C8)—22no—
100C4⋊(C43⋊C8)—22no—
101#13063248—22no—
102#13063248—22no—
103#13063248—41no—
104#13063248—41no—
105#13063245—22no—
106#13063245—22no—
107#13063245—22no—
108#13063245—22no—
109#13063245—41no—
110#13063245—41no—
111#13063245—41no—
112#13063245—41no—
113#13063236—22no—
114#13063236—22no—
115C4×C43⋊C8—22no—
116C22×Q8×C43D411yescharacteristic
117C4×Q8×C43C2×C414yes—
118C4×Q8×C43D414yes—
119C2×C4⋊C4×C43—21no—
120C2×C4⋊C4×C43—21no—
121C2×C4⋊C4×C43D411yescharacteristic
122C2×C4⋊C4×C43D411yescharacteristic
123C2×C4⋊C4×C43D411yescharacteristic
124C2×C4⋊C4×C43C2311yescharacteristic
125C2×C4⋊C4×C43C2311yescharacteristic
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C42×C43—21no—
129C2×C42×C43—21no—
130C2×C42×C43—21no—
131C2×C42×C43C2311yescharacteristic
132C2×C42×C43C2311yescharacteristic
133C2×C42×C43C2311yescharacteristic
134#95×C43—21no—
135#95×C43—21no—
136#95×C43—21no—
137#95×C43—21no—
138#95×C43—21no—
139#95×C43—21no—
140#95×C43—21no—
141C23×D43—21no—
142C23×D43—21no—
143C2×Q8×C43—41no—
144C2×Q8×C43—41no—
145C2×Q8×C43C22⋊C414yes—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2411yescharacteristic
157C22×Dic43—21no—
158C22×Dic43—21no—
159C2×D172—24no—
160C2×D172—21no—
161C2×D172—21no—
162C2×D172—24no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—21no—
166C2×D172—21no—
167C2×D172—21no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172—42no—
172C2×D172—42no—
173C2×D172—81no—
174C2×D172—81no—
175C2×D172C22×C412yes—
176C2×D172C22×C412yes—
177C2×C4×D43—24no—
178C2×C4×D43—24no—
179C2×C4×D43—81no—
180C2×C4×D43—81no—
181C2×C4×D43—81no—
182C2×C4×D43—81no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86C22×C412yes—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—42no—
197C4⋊C4×C43—81no—
198C4⋊C4×C43C22⋊C414yes—
199C4⋊C4×C43C22⋊C414yes—
200C4⋊C4×C43C22⋊C414yes—
201C4⋊C4×C43#4112yes—
202C42×C43—42no—
203C42×C43—81no—
204C42×C43—81no—
205C42×C43C22×C412yes—
206C42×C43C22×C412yes—
207C42×C43C22×C412yes—
208C42×C43C2×D412yes—
209C42×C43C2×D412yes—
210C42×C43C2×D412yes—
211(C2×D43)⋊C4—24no—
212(C2×D43)⋊C4—24no—
213(C2×D43)⋊C4—24no—
214(C2×D43)⋊C4—24no—
215(C2×D43)⋊C4—24no—
216(C2×D43)⋊C4—24no—
217C4⋊Dic43—21no—
218C4⋊Dic43C22×C412yes—
219Dic43⋊C4—24no—
220C4×Dic43—24no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
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×C43C22×D411yescharacteristic
234C22×D43—22no—
235C22×D43—22no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248Q8×C43—44no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—22no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43C2×C22⋊C412yes—
274C2×C4×C43C2×C22⋊C412yes—
275C2×C4×C43C2×C22⋊C412yes—
276C2×C4×C43C2×C22⋊C412yes—
277C2×C4×C43C2×C22⋊C412yes—
278C2×C4×C43C2×C22⋊C412yes—
279C2×C4×C43C23×C411yescharacteristic
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43H(5,𝔽2)11yescharacteristic
284C2×C4×C432−1+411yescharacteristic
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291D172—22no—
292D172—22no—
293D172—22no—
294D172—22no—
295D172—48no—
296D172—41no—
297D172—41no—
298D172—41no—
299D172—41no—
300D172—84no—
301C4×D43—84no—
302C4×D43—84no—
303Dic86—22no—
304Dic86—22no—
305Dic86—41no—
306Dic86—41no—
307C43⋊C8—22no—
308C43⋊C8—41no—
309C43⋊C8—41no—
310C43⋊C8—41no—
311#22549—431nomaximal, Sylow
312C22×C43C22×C22⋊C411yescharacteristic
313C22×C43#54811yescharacteristic
314C22×C43#55011yescharacteristic
315C22×C43#57511yescharacteristic
316C22×C43#57511yescharacteristic
317C22×C43#57611yescharacteristic
318C22×C43#57711yescharacteristic
319C2×D43—42no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43—81no—
328C2×D43—81no—
329C2×D43—81no—
330C2×D43—81no—
331C2×D43—81no—
332C2×D43—81no—
333C4×C43—22no—
334C4×C43—22no—
335C4×C43—22no—
336C4×C43—22no—
337C4×C43—22no—
338C4×C43—22no—
339C4×C43—42no—
340C4×C43—81no—
341C4×C43—81no—
342C4×C43—81no—
343C4×C43C4×#4111yescharacteristic
344C4×C43#52011yescharacteristic
345C4×C43#54811yescharacteristic
346C4×C43#55011yescharacteristic
347Dic43—42no—
348Dic43—42no—
349C2×#559—431no—
350C2×#446—431no—
351#2355D4311yescharacteristic, complemented
352#1983—431no—
353#1983—431no—
354#1982—431no—
355#1961—431no—
356#1959—431no—
357#1958—431no—
358#1805—431no—
359#1804—431no—
360#1802—431no—
361#1763—431no—
362#1762—431no—
363C4×#102—431no—
364C2×C43#234111yescharacteristic
365C2×C43#289611yescharacteristic
366C2×C43#289711yescharacteristic
367C2×C43#337011yescharacteristic
368C2×C43#337111yescharacteristic
369C2×C43#340111yescharacteristic
370C2×C43#340311yescharacteristic
371D43—82no—
372D43—82no—
373#559—438no—
374#559—864no—
375C2×#127—431no—
376C2×#124—431no—
377C2×#124—431no—
378C2×#124—861no—
379C2×#123—861no—
380C2×#123—861no—
381C2×C4×Q8—431no—
382C2×C4×Q8C2×D4311yescharacteristic
383C2×C4×D4—431no—
384C2×C4×D4—431no—
385C2×C4×D4—861no—
386#446—864no—
387C2×C4⋊C8—431no—
388C2×C4⋊C8—431no—
389C2×C4⋊C8—431no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#103—431no—
394C2×#102—431no—
395C2×#102—431no—
396C2×#102—431no—
397C2×#102—431no—
398C2×#102—431no—
399C2×#102—431no—
400C2×#102—431no—
401C2×#102—431no—
402C2×#97—431no—
403C2×#97—431no—
404C2×C4×C8—431no—
405#391—21no—
406#387—21no—
407#387—21no—
408#384C2×D4311yescharacteristic
409#382C2×D4311yescharacteristic
410#382C2×D4311yescharacteristic
411C4×C4⋊C4—21no—
412C4×C4⋊C4C2×D4311yescharacteristic
413C4×C4⋊C4C2×D4311yescharacteristic
414C4×C4⋊C4C2×D4311yescharacteristic
415#340—431no—
416#340—431no—
417#340—431no—
418#340—431no—
419C43#2254911yescharacteristic, complemented, Sylow
420C22×Q8—431no—
421C22×Q8C22⋊D4311yescharacteristic
422C22×D4—431no—
423C22×D4—431no—
424C22×D4—861no—
425C22×D4—861no—
426C23×C4—861no—
427C23×C4—861no—
428C22×C8—431no—
429C22×C8—431no—
430C22×C8—431no—
431C22×C8—431no—
432#127—434no—
433#127—862no—
434#124—434no—
435#124—434no—
436#124—868no—
437#124—862no—
438#124—862no—
439#123—868no—
440#123—868no—
441C4×Q8—434no—
442C4×Q8—862no—
443C4×Q8C4×D4314yes—
444C4×Q8D17214yes—
445C4×D4—434no—
446C4×D4—434no—
447C4×D4—868no—
448C4×D4—862no—
449C4×D4—862no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—861no—
454C2×C4⋊C4C22⋊D4311yescharacteristic
455C2×C4⋊C4C22⋊D4311yescharacteristic
456C2×C4⋊C4C22⋊D4311yescharacteristic
457C2×C4⋊C4C22×D4311yescharacteristic
458C2×C4⋊C4C22×D4311yescharacteristic
459C2×C4⋊C4C22×D4311yescharacteristic
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C42—21no—
468C2×C42—21no—
469C2×C42—21no—
470C2×C42—861no—
471C2×C42C22×D4311yescharacteristic
472C2×C42C22×D4311yescharacteristic
473C2×C42C22×D4311yescharacteristic
474C4⋊C8—862no—
475C4⋊C8—862no—
476C4⋊C8—862no—
477#103—862no—
478#103—862no—
479#103—1721no—
480#103—1721no—
481#102—862no—
482#102—862no—
483#102—862no—
484#102—862no—
485#102—1721no—
486#102—1721no—
487#102—1721no—
488#102—1721no—
489#97—862no—
490#97—862no—
491C4×C8—862no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—21no—
496#95—21no—
497#95—21no—
498#95—21no—
499C24—861no—
500C24—861no—
501C2×Q8—41no—
502C2×Q8—41no—
503C2×Q8—432no—
504C2×Q8—861no—
505C2×Q8—861no—
506C2×Q8—861no—
507C2×Q8—861no—
508C2×Q8—861no—
509C2×Q8(C2×D43)⋊C414yes—
510C2×D4—432no—
511C2×D4—432no—
512C2×D4—864no—
513C2×D4—864no—
514C2×D4—861no—
515C2×D4—861no—
516C2×D4—861no—
517C2×D4—861no—
518C2×D4—861no—
519C2×D4—861no—
520C2×D4—861no—
521C2×D4—861no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—3441no—
525C2×D4—3441no—
526C2×D4—1722no—
527C2×D4—1722no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—864no—
535C22×C4—864no—
536C22×C4—3441no—
537C22×C4—3441no—
538C22×C4—3441no—
539C22×C4—3441no—
540C22×C4C2×C22⋊D4311yescharacteristic
541C22×C4C2×C22⋊D4311yescharacteristic
542C22×C4C2×C22⋊D4311yescharacteristic
543C22×C4C2×C22⋊D4311yescharacteristic
544C22×C4C2×C22⋊D4311yescharacteristic
545C22×C4C2×C22⋊D4311yescharacteristic
546C22×C4C23×D4311yescharacteristic
547C2×C8—432no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C2×C8—861no—
557C2×C8—861no—
558C2×C8—861no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—42no—
567C4⋊C4—81no—
568C4⋊C4—432no—
569C4⋊C4—864no—
570C4⋊C4—861no—
571C4⋊C4(C2×D43)⋊C414yes—
572C4⋊C4(C2×D43)⋊C414yes—
573C4⋊C4(C2×D43)⋊C414yes—
574C4⋊C4#1062190212yes—
575C22⋊C4—864no—
576C22⋊C4—864no—
577C22⋊C4—864no—
578C22⋊C4—864no—
579C22⋊C4—864no—
580C22⋊C4—864no—
581C42—42no—
582C42—81no—
583C42—81no—
584C42—864no—
585C42C2×C4×D4312yes—
586C42C2×C4×D4312yes—
587C42C2×C4×D4312yes—
588C42C2×D17212yes—
589C42C2×D17212yes—
590C42C2×D17212yes—
591C23—862no—
592C23—862no—
593C23—1721no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23—1721no—
599C23—1721no—
600C23—1721no—
601C23—1721no—
602C23—1721no—
603C23—1721no—
604C23—1721no—
605C23C22×C22⋊D4311yescharacteristic
606Q8—44no—
607Q8—862no—
608Q8—862no—
609Q8—1721no—
610Q8—1721no—
611D4—862no—
612D4—862no—
613D4—862no—
614D4—862no—
615D4—3444no—
616D4—1728no—
617D4—1721no—
618D4—1721no—
619D4—1721no—
620D4—1721no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—3444no—
648C2×C4—3444no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4C2×(C2×D43)⋊C412yes—
654C2×C4C2×(C2×D43)⋊C412yes—
655C2×C4C2×(C2×D43)⋊C412yes—
656C2×C4C2×(C2×D43)⋊C412yes—
657C2×C4C2×(C2×D43)⋊C412yes—
658C2×C4C2×(C2×D43)⋊C412yes—
659C2×C4C22×C4×D4311yescharacteristic
660C2×C4C22×D17211yescharacteristic
661C2×C4#41×D4311yescharacteristic
662C2×C4C2×#1062190211yescharacteristic
663C2×C4#1306337111yescharacteristic
664C2×C4#1306337311yescharacteristic
665C8—862no—
666C8—1721no—
667C8—1721no—
668C8—1721no—
669C22—3441no—
670C22—3441no—
671C22—3441no—
672C22—3441no—
673C22—3441no—
674C22—3441no—
675C22—3441no—
676C22—3441no—
677C22—1722no—
678C22—1722no—
679C22—1722no—
680C22—1722no—
681C22—1722no—
682C22—1722no—
683C22C22×(C2×D43)⋊C411yescharacteristic
684C22#1458356011yescharacteristic
685C22#1458356811yescharacteristic
686C22#1458369711yescharacteristic
687C22#1458369711yescharacteristic
688C22#1458370211yescharacteristic
689C22#1458370711yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—22no—
695C4—22no—
696C4—42no—
697C4—81no—
698C4—81no—
699C4—81no—
700C4—1722no—
701C4—1722no—
702C4C4×#1062190211yescharacteristic
703C4#1458338111yescharacteristic
704C4#1458356111yescharacteristic
705C4#1458357111yescharacteristic
706C2—3442no—
707C2—3442no—
708C2#1913743311yescharacteristic
709C2#1914311211yescharacteristic
710C2#1914311811yescharacteristic
711C2#1914734811yescharacteristic
712C2#1914736311yescharacteristic
713C2#1914766111yescharacteristic
714C2#1914767911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2355C2
socleC23×C43C22×D4
prime radicalC2×#13063322C22
cosocleC22×C4×C43C24
hypercenter#2355D43
hypocenterC43#22549
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ #2355

Complements

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

NH ≅ G/Ntype
2. C2×#14583030C2semidirect
3. #19135527C2semidirect
4. #19135527C2semidirect
7. #19135409C2semidirect
8. #19135404C2semidirect
9. #19134607C2semidirect
10. #19134602C2semidirect
11. #19134592C2semidirect
12. #19134428C2semidirect
13. #19134423C2semidirect
14. C4×#13063245C2semidirect
15. C43×#2355C2semidirect
17. #14583634C4semidirect
351. #2355D43semidirect
419. C43#22549semidirect

Maximal subgroups

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

subgroupindex
C2×#145836342
C2×#145830302
#191355272
#191355222
#191354182
#191354092
#191354042
#191346072
#191346022
#191345922
#191344282
#191344232
C4×#130632452
C43×#23552
#2254943