Finite Group Databasebeta

← #25113439

Subgroups — #25113439

Order 11008.

1162 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583632C211yesmaximal, characteristic
2C2×#14583028C211yesmaximal, characteristic, complemented
3#19137507C211yesmaximal, characteristic, complemented
4#19135526C211yesmaximal, characteristic, complemented
5#19135525C211yesmaximal, characteristic, complemented
6#19135520C211yesmaximal, characteristic
7#19135410C211yesmaximal, characteristic, complemented
8#19135409C211yesmaximal, characteristic, complemented
9#19135399C211yesmaximal, characteristic
10#19134599C211yesmaximal, characteristic, complemented
11#19134594C211yesmaximal, characteristic, complemented
12#19134420C211yesmaximal, characteristic, complemented
13#19134419C211yesmaximal, characteristic, complemented
14#19134414C211yesmaximal, characteristic, complemented
15C43×#1802C211yesmaximal, characteristic, complemented
16#14583632—24no—
17#14583632C418yescomplemented
18C2×#13063321C2211yescharacteristic
19C2×#13063313C2211yescharacteristic
20C2×#13063312C2211yescharacteristic
21C2×#13063311—21no—
22C2×#13063308—21no—
23C2×#13063307—21no—
24C2×C4×Dic86C2211yescharacteristic
25C2×#13063290—21no—
26C2×#13063290C2211yescharacteristic
27C2×#13063287C2211yescharacteristic
28C2×C4×C22⋊D43—21no—
29#14583028—24no—
30C2×Dic43⋊C8C2211yescharacteristic
31C2×Dic43⋊C8C2211yescharacteristic
32C2×#13063250C2211yescharacteristic
33C2×#13063250C2211yescharacteristic
34C2×#13063248C2211yescharacteristic
35C2×#13063248C2211yescharacteristic
36C2×#13063247C2211yescharacteristic
37C2×#13063247C2211yescharacteristic
38C2×#13063246C2211yescharacteristic
39C2×#13063246C2211yescharacteristic
40C2×#13063245C2211yescharacteristic
41C2×#13063245C2211yescharacteristic
42C2×#13063236C2211yescharacteristic
43C2×#13063235C2211yescharacteristic
44C2×C8×Dic43C2211yescharacteristic
45#14582795—21no—
46#14582794—21no—
47#14582794—21no—
48#14582768C2211yescharacteristic
49#14582768C2211yescharacteristic
50C4⋊C4×Dic43C2211yescharacteristic
51C4⋊C4×Dic43C2211yescharacteristic
52C4×C4⋊Dic43C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C2×C4⋊C8×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C43×#384C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86D411yescharacteristic
63C22×Dic86C2311yescharacteristic
64C22×D172C2311yescharacteristic
65C22×C22⋊D43—21no—
66C22×C22⋊D43—21no—
67C22×C4×D43—21no—
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70#13063321—22no—
71#13063321C2×C414yes—
72#13063313—22no—
73#13063313C2×C414yes—
74#13063312—22no—
75#13063312C2×C414yes—
76#13063311—28no—
77#13063308—28no—
78#13063307—28no—
79C4×Dic86C2×C414yes—
80C4×Dic86D414yes—
81#13063290—22no—
82#13063290—44no—
83#13063290C2×C414yes—
84#13063287—22no—
85#13063287C2×C414yes—
86C4×C22⋊D43—28no—
87C2×C4⋊Dic43D411yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4D411yescharacteristic
96C2×Dic43⋊C4D411yescharacteristic
97C2×C22⋊Dic43—21no—
98C2×C22⋊Dic43—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43—21no—
104C2×C4×Dic43—21no—
105C2×C4×Dic43—21no—
106C2×C4×Dic43C2311yescharacteristic
107C2×C4×Dic43C2311yescharacteristic
108Dic43⋊C8—22no—
109Dic43⋊C8—22no—
110#13063250—22no—
111#13063250—41no—
112#13063248—22no—
113#13063248—41no—
114#13063247—22no—
115#13063247—41no—
116#13063246—22no—
117#13063246—22no—
118#13063245—22no—
119#13063245—41no—
120#13063236—22no—
121#13063235—22no—
122C8×Dic43—22no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C22×D4×C43C2311yescharacteristic
127C23×C4×C43—21no—
128C22×C8×C43C2311yescharacteristic
129C22×C8×C43C2311yescharacteristic
130C4×D4×C43—22no—
131C4×D4×C43C2×C414yes—
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43—21no—
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C4⋊C4×C43C2311yescharacteristic
137C2×C22⋊C4×C43—21no—
138C2×C42×C43C2311yescharacteristic
139C4⋊C8×C43—22no—
140#102×C43—41no—
141#102×C43—41no—
142C24×C43—21no—
143C23×D43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43C22×C412yes—
150C22×C4×C43—24no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—81no—
155C22×C4×C43—81no—
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2411yescharacteristic
159C2×C22⋊D43—24no—
160C2×C22⋊D43—24no—
161C2×C22⋊D43—42no—
162C2×C22⋊D43—42no—
163C2×C22⋊D43—81no—
164C2×C22⋊D43—81no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43C2×D411yescharacteristic
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172C22×C412yes—
178C2×C4×D43—24no—
179C2×C4×D43—81no—
180C2×C4×D43—81no—
181C2×Dic86—22no—
182C2×Dic86—22no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86C22⋊C414yes—
189C2×Dic86C22×C412yes—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—42no—
202C4⋊C4×C43—81no—
203C4⋊C4×C43C22×C412yes—
204C22⋊C4×C43—24no—
205C42×C43C22×C412yes—
206C42×C43C2×D412yes—
207C22⋊Dic43—24no—
208C22⋊Dic43—24no—
209(C2×D43)⋊C4—24no—
210(C2×D43)⋊C4—24no—
211(C2×D43)⋊C4—24no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43C22⋊C414yes—
216C4⋊Dic43#4112yes—
217Dic43⋊C4—24no—
218Dic43⋊C4—42no—
219Dic43⋊C4—42no—
220Dic43⋊C4—81no—
221Dic43⋊C4—81no—
222Dic43⋊C4C22⋊C414yes—
223Dic43⋊C4C22⋊C414yes—
224C4×Dic43—24no—
225C4×Dic43—42no—
226C4×Dic43—42no—
227C4×Dic43—42no—
228C4×Dic43C22×C412yes—
229C4×Dic43C22×C412yes—
230C4×Dic43C2×D412yes—
231C4×Dic43C2×D412yes—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8#4112yes—
238C23×C43—22no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43C22×D411yescharacteristic
246C22×D43—22no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253D4×C43—22no—
254D4×C43—22no—
255D4×C43—41no—
256D4×C43—41no—
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—84no—
271C2×C4×C43C2×C22⋊C412yes—
272C2×C4×C43C2×C22⋊C412yes—
273C2×C4×C43C23×C411yescharacteristic
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43H(5,𝔽2)11yescharacteristic
278C2×C4×C432−1+411yescharacteristic
279C22⋊D43—48no—
280C22⋊D43—84no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43C2×C22⋊C412yes—
297C2×Dic43C2×C22⋊C412yes—
298C2×Dic43C2×C22⋊C412yes—
299C2×Dic43C2×C22⋊C412yes—
300C2×Dic43AGL(1,ℤ/8)12yes—
301C2×Dic43#13712yes—
302D172—22no—
303D172—22no—
304D172—41no—
305D172—41no—
306C4×D43—84no—
307Dic86—28no—
308Dic86—22no—
309Dic86—22no—
310Dic86—41no—
311Dic86—41no—
312C8×C43—41no—
313C8×C43—41no—
314C43⋊C8—22no—
315C43⋊C8—41no—
316#22546—431nomaximal, Sylow
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—81no—
321C22×C43—81no—
322C22×C43—81no—
323C22×C43—81no—
324C22×C43C22×C22⋊C411yescharacteristic
325C22×C43#54811yescharacteristic
326C22×C43#55011yescharacteristic
327C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
328C22×C43C2×#13711yescharacteristic
329C22×C43#57611yescharacteristic
330C22×C43#57711yescharacteristic
331C2×D43—42no—
332C2×D43—42no—
333C2×D43—42no—
334C2×D43—81no—
335C2×D43—81no—
336C2×D43—81no—
337C2×D43—81no—
338C4×C43—22no—
339C4×C43—22no—
340C4×C43—42no—
341C4×C43—81no—
342C4×C43—81no—
343C4×C43C4×#4111yescharacteristic
344C4×C43#52011yescharacteristic
345C4×C43#54811yescharacteristic
346C4×C43#55011yescharacteristic
347Dic43—22no—
348Dic43—22no—
349Dic43—22no—
350Dic43—42no—
351Dic43—42no—
352Dic43—81no—
353Dic43#41714yes—
354C2×#559—431no—
355C2×#446—431no—
356Q8×C4⋊C4—431no—
357#1983—431no—
358#1983—431no—
359#1982—431no—
360#1959—431no—
361#1959—431no—
362#1957—431no—
363#1803—431no—
364#1802—431no—
365#1802D4311yescharacteristic, complemented
366#1762—431no—
367#1762—431no—
368C4×#103—431no—
369C2×C43—82no—
370C2×C43#234111yescharacteristic
371C2×C43C2×#41711yescharacteristic
372C2×C43#289711yescharacteristic
373C2×C43#337311yescharacteristic
374C2×C43#337511yescharacteristic
375C2×C43#339911yescharacteristic
376C2×C43#340011yescharacteristic
377D43—82no—
378#559—438no—
379#559—864no—
380C2×#127—431no—
381C2×#124—431no—
382C2×#124—431no—
383C2×#124—861no—
384C2×#123—861no—
385C2×#123—861no—
386C2×C4×Q8—431no—
387C2×C4×Q8—431no—
388C2×C4×Q8—861no—
389C2×C4×D4—431no—
390C2×C4×D4—861no—
391C2×C4×D4C2×D4311yescharacteristic
392#446—864no—
393C2×C4⋊C8—431no—
394C2×C4⋊C8—431no—
395C2×C4⋊C8C2×D4311yescharacteristic
396C2×#103—431no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#103—431no—
400C2×#102—431no—
401C2×#102—431no—
402C2×#102—431no—
403C2×#102—431no—
404C2×#102—431no—
405C2×#102—431no—
406C2×#102C2×D4311yescharacteristic
407C2×#102C2×D4311yescharacteristic
408C2×#97—431no—
409C2×#97—431no—
410C2×C4×C8—431no—
411#389—861no—
412#389—861no—
413#389—861no—
414#384—431no—
415#384—431no—
416#384C2×D4311yescharacteristic
417C4×C4⋊C4—431no—
418C4×C4⋊C4—431no—
419C4×C4⋊C4—431no—
420#340—431no—
421#340—431no—
422#340C2×D4311yescharacteristic
423#340C2×D4311yescharacteristic
424C43#2254611yescharacteristic, complemented, Sylow
425C22×Q8—431no—
426C22×Q8—431no—
427C22×D4—431no—
428C22×D4—861no—
429C22×D4—861no—
430C22×D4C22×D4311yescharacteristic
431C23×C4—21no—
432C23×C4—861no—
433C22×C8—431no—
434C22×C8—431no—
435C22×C8C22×D4311yescharacteristic
436C22×C8C22×D4311yescharacteristic
437#127—434no—
438#127—862no—
439#124—434no—
440#124—434no—
441#124—862no—
442#124—868no—
443#124—862no—
444#123—868no—
445#123—868no—
446C4×Q8—434no—
447C4×Q8—434no—
448C4×Q8—434no—
449C4×Q8—862no—
450C4×Q8—1724no—
451C4×D4—22no—
452C4×D4—434no—
453C4×D4—862no—
454C4×D4—868no—
455C4×D4C4×D4314yes—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4C22×D4311yescharacteristic
469C2×C4⋊C4C22×D4311yescharacteristic
470C2×C4⋊C4C22×D4311yescharacteristic
471C2×C22⋊C4—21no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C42—431no—
478C2×C42—431no—
479C2×C42—861no—
480C2×C42—861no—
481C2×C42—861no—
482C2×C42—861no—
483C2×C42C22×D4311yescharacteristic
484C4⋊C8—22no—
485C4⋊C8—862no—
486C4⋊C8—862no—
487#103—862no—
488#103—862no—
489#103—1721no—
490#103—1721no—
491#102—41no—
492#102—41no—
493#102—862no—
494#102—862no—
495#102—862no—
496#102—862no—
497#102—1721no—
498#102—1721no—
499#97—862no—
500#97—862no—
501C4×C8—862no—
502#95—861no—
503#95—861no—
504#95—861no—
505C24—21no—
506C24—861no—
507C2×Q8—434no—
508C2×Q8—432no—
509C2×Q8—862no—
510C2×Q8—862no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8—861no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—432no—
522C2×D4—864no—
523C2×D4—864no—
524C2×D4—861no—
525C2×D4—861no—
526C2×D4—861no—
527C2×D4—861no—
528C2×D4—861no—
529C2×D4—3441no—
530C2×D4—3441no—
531C2×D4—1722no—
532C2×D4—1722no—
533C2×D4C2×C4×D4312yes—
534C22×C4—21no—
535C22×C4—24no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—81no—
539C22×C4—81no—
540C22×C4—431no—
541C22×C4—431no—
542C22×C4—431no—
543C22×C4—431no—
544C22×C4—864no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—3441no—
549C22×C4—3441no—
550C22×C4D4×D4311yescharacteristic
551C22×C4D4×D4311yescharacteristic
552C22×C4C23×D4311yescharacteristic
553C2×C8—21no—
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—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—42no—
571C4⋊C4—81no—
572C4⋊C4—434no—
573C4⋊C4—434no—
574C4⋊C4—434no—
575C4⋊C4—432no—
576C4⋊C4—864no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—861no—
580C4⋊C4—3441no—
581C4⋊C4—3441no—
582C4⋊C4—1722no—
583C4⋊C4—1722no—
584C4⋊C4C2×C4×D4312yes—
585C22⋊C4—24no—
586C22⋊C4—864no—
587C22⋊C4—864no—
588C22⋊C4—864no—
589C22⋊C4—864no—
590C22⋊C4—864no—
591C42—432no—
592C42—432no—
593C42—432no—
594C42—432no—
595C42—864no—
596C42—1722no—
597C42—1722no—
598C42—1722no—
599C42C2×C4×D4312yes—
600C42D4×D4312yes—
601C23—22no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—862no—
609C23—1721no—
610C23—1721no—
611C23—1721no—
612C23—1721no—
613C23—1721no—
614C23—1721no—
615C23C2×D4×D4311yescharacteristic
616Q8—868no—
617Q8—862no—
618Q8—862no—
619Q8—1721no—
620Q8—1721no—
621D4—22no—
622D4—22no—
623D4—41no—
624D4—41no—
625D4—862no—
626D4—862no—
627D4—3444no—
628D4—1728no—
629D4—1721no—
630D4—1721no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
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—84no—
645C2×C4—432no—
646C2×C4—432no—
647C2×C4—432no—
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—862no—
658C2×C4—862no—
659C2×C4—3444no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4C22⋊C4×D4312yes—
668C2×C4C22⋊C4×D4312yes—
669C2×C4C22×C4×D4311yescharacteristic
670C2×C4C2×D4×D4311yescharacteristic
671C2×C4#41×D4311yescharacteristic
672C2×C4#41×D4311yescharacteristic
673C2×C4#1306337011yescharacteristic
674C2×C4#1306337311yescharacteristic
675C8—41no—
676C8—41no—
677C8—862no—
678C8—1721no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—3441no—
687C22—3441no—
688C22—3441no—
689C22—3441no—
690C22—1722no—
691C22—1722no—
692C22—1722no—
693C22C2×C22⋊C4×D4311yescharacteristic
694C22#1458355911yescharacteristic
695C22#1458356711yescharacteristic
696C22AGL(1,ℤ/8)×D4311yescharacteristic
697C22#137×D4311yescharacteristic
698C22#1458370011yescharacteristic
699C22#1458370511yescharacteristic
700C4—22no—
701C4—22no—
702C4—42no—
703C4—81no—
704C4—81no—
705C4—434no—
706C4—862no—
707C4—862no—
708C4—862no—
709C4—3441no—
710C4—1722no—
711C4—1722no—
712C4#1458336711yescharacteristic
713C4#1458338011yescharacteristic
714C4#1458355911yescharacteristic
715C4#1458356711yescharacteristic
716C2—82no—
717C2—3442no—
718C2#1913743211yescharacteristic
719C2#417×D4311yescharacteristic
720C2#1914311611yescharacteristic
721C2#1914739011yescharacteristic
722C2#1914741211yescharacteristic
723C2#1914764011yescharacteristic
724C2#1914764311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1802C2
socleC23×C43C22×D4
prime radicalC2×#13063321C22
cosocleC22×C4×C43C24
hypercenter#1802D43
hypocenterC43#22546
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1802

Complements

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

NH ≅ G/Ntype
2. C2×#14583028C2semidirect
3. #19137507C2semidirect
4. #19135526C2semidirect
5. #19135525C2semidirect
7. #19135410C2semidirect
8. #19135409C2semidirect
10. #19134599C2semidirect
11. #19134594C2semidirect
12. #19134420C2semidirect
13. #19134419C2semidirect
14. #19134414C2semidirect
15. C43×#1802C2semidirect
17. #14583632C4semidirect
365. #1802D43semidirect
424. C43#22546semidirect

Maximal subgroups

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

subgroupindex
C2×#145836322
C2×#145830282
#191375072
#191355262
#191355252
#191355202
#191354102
#191354092
#191353992
#191345992
#191345942
#191344202
#191344192
#191344142
C43×#18022
#2254643