Finite Group Databasebeta

← #25147294

Subgroups — #25147294

Order 11008.

980 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583118C211yesmaximal, characteristic
2C2×#14583107C211yesmaximal, characteristic, complemented
3C2×#14583102C211yesmaximal, characteristic
4#19139584C211yesmaximal, characteristic, complemented
5#19137670C211yesmaximal, characteristic
6#19135915C211yesmaximal, characteristic, complemented
7#19135908C211yesmaximal, characteristic
8#19135693C211yesmaximal, characteristic, complemented
9#19135676C211yesmaximal, characteristic
10#19135519C211yesmaximal, characteristic, complemented
11#19135318C211yesmaximal, characteristic, complemented
12#19134938C211yesmaximal, characteristic, complemented
13#19134931C211yesmaximal, characteristic
14#19134426C211yesmaximal, characteristic, complemented
15C2×C43×#497C211yesmaximal, characteristic
16C22×#10621885C2211yescharacteristic
17C22×#10621883C2211yescharacteristic
18C2×#13063323C2211yescharacteristic
19C2×#13063323C2211yescharacteristic
20C2×Q8×Dic43C2211yescharacteristic
21C2×C4×Dic86C2211yescharacteristic
22C2×D4×Dic43C2211yescharacteristic
23#14583118—24no—
24#14583107—24no—
25#14583102—24no—
26C2×C4⋊(C43⋊C8)C2211yescharacteristic
27C2×Dic43⋊C8C2211yescharacteristic
28C2×Dic43⋊C8C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063249C2211yescharacteristic
32C2×#13063249C2211yescharacteristic
33C2×#13063249C2211yescharacteristic
34C2×#13063249C2211yescharacteristic
35C2×#13063249C2211yescharacteristic
36C2×#13063246C2211yescharacteristic
37#14582830—21no—
38#14582830—21no—
39#14582806C2211yescharacteristic
40#14582806C2211yescharacteristic
41#14582806C2211yescharacteristic
42#14582802C2211yescharacteristic
43#14582795—21no—
44#14582795—21no—
45#14582792—21no—
46#14582792—21no—
47#14582774—21no—
48C4×C4⋊Dic43C2211yescharacteristic
49C4×C4⋊Dic43C2211yescharacteristic
50C22⋊C4×Dic43—21no—
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C22×Q16×C43C2211yescharacteristic
56C22×Q16×C43C2211yescharacteristic
57C22×SD16×C43C2211yescharacteristic
58C22×SD16×C43C2211yescharacteristic
59C2×C4⋊Q8×C43C2211yescharacteristic
60C2×#124×C43C2211yescharacteristic
61C43×#497—24no—
62C2×#97×C43C2211yescharacteristic
63C22×Dic86C2311yescharacteristic
64C23×Dic43—21no—
65C2×#10621885—22no—
66C2×#10621885—22no—
67C2×#10621885—41no—
68C2×#10621883—22no—
69C2×#10621883—22no—
70C2×#10621883—41no—
71C22×C43⋊C8C2311yescharacteristic
72C22×C43⋊C8C2311yescharacteristic
73#13063323—22no—
74#13063323—22no—
75#13063323—41no—
76#13063323—41no—
77Q8×Dic43—22no—
78Q8×Dic43—41no—
79C4×Dic86—22no—
80C4×Dic86—22no—
81D4×Dic43—22no—
82D4×Dic43—41no—
83C2×C4⋊Dic43—21no—
84C2×C4⋊Dic43D411yescharacteristic
85C2×C4⋊Dic43D411yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×Dic43⋊C4—21no—
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×C22⋊Dic43—21no—
95C2×C22⋊Dic43—21no—
96C2×C22⋊Dic43—21no—
97C2×C4×Dic43—21no—
98C2×C4×Dic43—21no—
99C2×C4×Dic43—21no—
100C2×C4×Dic43C2311yescharacteristic
101C2×C4×Dic43C2311yescharacteristic
102C4⋊(C43⋊C8)—22no—
103Dic43⋊C8—22no—
104Dic43⋊C8—22no—
105#13063250—22no—
106#13063250D414yes—
107#13063249—22no—
108#13063249—22no—
109#13063249—22no—
110#13063249—41no—
111#13063249—41no—
112#13063246—22no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95D411yescharacteristic
121C43⋊#95D411yescharacteristic
122C22×Q8×C43C2311yescharacteristic
123C22×Q8×C43C2311yescharacteristic
124C22×Q8×C43C2311yescharacteristic
125C22×D4×C43C2311yescharacteristic
126C2×Q16×C43—22no—
127C2×Q16×C43—22no—
128C2×Q16×C43—22no—
129C2×Q16×C43—22no—
130C2×Q16×C43—41no—
131C2×Q16×C43—41no—
132C2×SD16×C43—22no—
133C2×SD16×C43—22no—
134C2×SD16×C43—22no—
135C2×SD16×C43—22no—
136C2×SD16×C43—41no—
137C2×SD16×C43—41no—
138C22×C8×C43C2311yescharacteristic
139C22×C8×C43C2311yescharacteristic
140C4⋊Q8×C43—22no—
141C4⋊Q8×C43—22no—
142#124×C43—22no—
143#124×C43D414yes—
144C2×C4⋊C4×C43—21no—
145C2×C4⋊C4×C43—21no—
146C2×C22⋊C4×C43—21no—
147C2×C22⋊C4×C43—21no—
148C2×C42×C43C2311yescharacteristic
149#97×C43—22no—
150C24×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43—21no—
156C2×Q8×C43—21no—
157C2×Q8×C43—21no—
158C2×Q8×C43—21no—
159C2×Q8×C43—21no—
160C2×Q8×C43—21no—
161C2×Q8×C43—21no—
162C2×Q8×C43—21no—
163C2×Q8×C43—21no—
164C2×Q8×C43—21no—
165C2×Q8×C43—21no—
166C2×Q8×C43—21no—
167C2×Q8×C43—21no—
168C2×Q8×C43C2×D412yes—
169C2×D4×C43—21no—
170C2×D4×C43—21no—
171C2×D4×C43—21no—
172C2×D4×C43—21no—
173C2×D4×C43—21no—
174C2×D4×C43C2×D412yes—
175C22×C4×C43—21no—
176C22×C4×C43—21no—
177C22×C4×C43—21no—
178C22×C4×C43C2×D411yescharacteristic
179C22×C4×C43C2×D411yescharacteristic
180C22×C4×C43C2411yescharacteristic
181C22×Dic43—21no—
182C22×Dic43—21no—
183C22×Dic43—21no—
184C22×Dic43—21no—
185C22×Dic43—42no—
186C22×Dic43—42no—
187C22×Dic43—81no—
188C22×Dic43C2×D411yescharacteristic
189C22×Dic43C2×D411yescharacteristic
190C22×Dic43C2×D411yescharacteristic
191C22×Dic43C2×D411yescharacteristic
192C2×Dic86—21no—
193C2×Dic86—21no—
194C2×Dic86—21no—
195C2×Dic86—21no—
196C2×Dic86—21no—
197C2×Dic86C2×D412yes—
198Q16×C43—44no—
199Q16×C43—44no—
200SD16×C43—44no—
201SD16×C43—44no—
202C2×C8×C43—21no—
203C2×C8×C43—21no—
204C2×C8×C43—21no—
205C2×C8×C43—21no—
206C2×C8×C43C2×D412yes—
207C2×C8×C43#4112yes—
208C4⋊C4×C43—42no—
209C4⋊C4×C43—42no—
210C22⋊C4×C43—24no—
211C22⋊C4×C43—24no—
212C42×C43C2×D412yes—
213C42×C43#4112yes—
214C22⋊Dic43—42no—
215C22⋊Dic43—42no—
216C22⋊Dic43—81no—
217#10621885—44no—
218#10621883—44no—
219C4⋊Dic43—21no—
220C4⋊Dic43—22no—
221C4⋊Dic43—22no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—21no—
226C4⋊Dic43—42no—
227C4⋊Dic43C2×D412yes—
228Dic43⋊C4—42no—
229Dic43⋊C4—42no—
230Dic43⋊C4—42no—
231Dic43⋊C4—42no—
232Dic43⋊C4—42no—
233C4×Dic43—21no—
234C4×Dic43—21no—
235C4×Dic43—21no—
236C4×Dic43—21no—
237C4×Dic43—42no—
238C4×Dic43—42no—
239C4×Dic43—81no—
240C2×C43⋊C8—21no—
241C2×C43⋊C8—21no—
242C2×C43⋊C8—21no—
243C2×C43⋊C8—21no—
244C2×C43⋊C8—21no—
245C2×C43⋊C8—21no—
246C23×C43—22no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43—41no—
252C23×C43—41no—
253C23×C43C22×D411yescharacteristic
254Q8×C43—22no—
255Q8×C43—22no—
256Q8×C43—41no—
257Q8×C43—41no—
258Q8×C43—41no—
259Q8×C43—41no—
260Q8×C43—41no—
261Q8×C43—41no—
262Q8×C43—41no—
263Q8×C43—41no—
264Q8×C43—41no—
265Q8×C43—41no—
266D4×C43—22no—
267D4×C43—22no—
268D4×C43—41no—
269D4×C43—41no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—22no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—41no—
282C2×C4×C43—41no—
283C2×C4×C43#12112yes—
284C2×C4×C43#12112yes—
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C2×#4111yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C43H(5,𝔽2)11yescharacteristic
290C2×C4×C43H(5,𝔽2)11yescharacteristic
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—22no—
298C2×Dic43—22no—
299C2×Dic43—21no—
300C2×Dic43—21no—
301C2×Dic43—21no—
302C2×Dic43—21no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43—41no—
308C2×Dic43—41no—
309C2×Dic43—41no—
310C2×Dic43—41no—
311C2×Dic43—41no—
312C2×Dic43—41no—
313C2×Dic43—84no—
314C2×Dic43#13712yes—
315C2×Dic43#13712yes—
316Dic86—22no—
317Dic86—22no—
318Dic86—41no—
319Dic86—41no—
320C8×C43—22no—
321C8×C43—22no—
322C43⋊C8—41no—
323C43⋊C8—41no—
324#25382—431nomaximal, Sylow
325C22×C43—42no—
326C22×C43—42no—
327C22×C43—42no—
328C22×C43—81no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—81no—
332C22×C43C2×#12111yescharacteristic
333C22×C43D4211yescharacteristic
334C22×C43#55011yescharacteristic
335C22×C43C2×#13711yescharacteristic
336C22×C43C2×#13711yescharacteristic
337C22×C43#57711yescharacteristic
338C22×C43#57811yescharacteristic
339C4×C43—22no—
340C4×C43—22no—
341C4×C43—42no—
342C4×C43—81no—
343C4×C43—81no—
344C4×C43#53211yescharacteristic
345C4×C43#54011yescharacteristic
346C4×C43D4211yescharacteristic
347C4×C43#54611yescharacteristic
348Dic43—22no—
349Dic43—22no—
350Dic43—42no—
351Dic43—41no—
352Dic43—42no—
353Dic43—41no—
354Dic43—81no—
355Dic43—81no—
356C2×#497D4311yescharacteristic
357C2×#464—431no—
358C2×#462—431no—
359C2×#461—431no—
360#2546—431no—
361#2367—431no—
362#2056—431no—
363#2055—431no—
364#2016—431no—
365#2013—431no—
366#1981—431no—
367#1940—431no—
368#1878—431no—
369#1877—431no—
370#1763—431no—
371C2×C43—82no—
372C2×C43#242811yescharacteristic
373C2×C43#303911yescharacteristic
374C2×C43#304611yescharacteristic
375C2×C43#326611yescharacteristic
376C2×C43#327011yescharacteristic
377C2×C43#339811yescharacteristic
378C2×C43#340011yescharacteristic
379C22×Q16—431no—
380C22×Q16C2×D4311yescharacteristic
381C22×Q16C2×D4311yescharacteristic
382C22×SD16—431no—
383C22×SD16C2×D4311yescharacteristic
384C22×SD16C2×D4311yescharacteristic
385C2×C4⋊Q8—431no—
386C2×C4⋊Q8—431no—
387C2×C4⋊Q8C2×D4311yescharacteristic
388C2×#124C2×D4311yescharacteristic
389C2×C4×Q8—431no—
390C2×C4×Q8—431no—
391C2×C4×D4—431no—
392#497—24no—
393#464—864no—
394#462—864no—
395#461—864no—
396C2×C4⋊C8—431no—
397C2×C4⋊C8—431no—
398C2×C4⋊C8—431no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#103—431no—
403C2×#103—431no—
404C2×#103—431no—
405C2×#103—431no—
406C2×#102—431no—
407C2×#97C2×D4311yescharacteristic
408#398—861no—
409#398—861no—
410#391—431no—
411#391—431no—
412#391—431no—
413#390—431no—
414#389—861no—
415#389—861no—
416#388—861no—
417#388—861no—
418#385—861no—
419C4×C4⋊C4—431no—
420C4×C4⋊C4—431no—
421C4×C22⋊C4—861no—
422#340—431no—
423#340—431no—
424#336—431no—
425#336—431no—
426C43#2538211yescharacteristic, complemented, Sylow
427C22×Q8—431no—
428C22×Q8C22×D4311yescharacteristic
429C22×Q8C22×D4311yescharacteristic
430C22×Q8C22×D4311yescharacteristic
431C22×D4C22×D4311yescharacteristic
432C23×C4—861no—
433C2×Q16—22no—
434C2×Q16—22no—
435C2×Q16—22no—
436C2×Q16—22no—
437C2×Q16—41no—
438C2×Q16—41no—
439C2×Q16—862no—
440C2×Q16—862no—
441C2×Q16—1721no—
442C2×SD16—22no—
443C2×SD16—22no—
444C2×SD16—22no—
445C2×SD16—22no—
446C2×SD16—41no—
447C2×SD16—41no—
448C2×SD16—862no—
449C2×SD16—862no—
450C2×SD16—1721no—
451C22×C8—431no—
452C22×C8—431no—
453C22×C8C22×D4311yescharacteristic
454C22×C8C22×D4311yescharacteristic
455C4⋊Q8—22no—
456C4⋊Q8—22no—
457C4⋊Q8—862no—
458C4⋊Q8—862no—
459C4⋊Q8—1721no—
460C4⋊Q8—1721no—
461#124—22no—
462#124C22⋊D4314yes—
463C4×Q8—862no—
464C4×Q8—862no—
465C4×Q8—862no—
466C4×Q8—1721no—
467C4×D4—862no—
468C4×D4—1721no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—431no—
475C2×C4⋊C4—431no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4—861no—
479C2×C4⋊C4—861no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4—861no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—861no—
485C2×C22⋊C4—861no—
486C2×C22⋊C4—861no—
487C2×C42—431no—
488C2×C42—431no—
489C2×C42—861no—
490C2×C42—861no—
491C2×C42—861no—
492C2×C42C22×D4311yescharacteristic
493C4⋊C8—862no—
494C4⋊C8—862no—
495C4⋊C8—862no—
496#103—434no—
497#103—862no—
498#103—862no—
499#103—862no—
500#103—862no—
501#103—1721no—
502#103—1721no—
503#102—862no—
504#97—22no—
505#95—431no—
506#95—431no—
507#95—861no—
508#95—861no—
509#95—861no—
510#95—861no—
511#95—861no—
512#95—861no—
513#95—861no—
514C24—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—432no—
533C2×Q8—861no—
534C2×Q8—861no—
535C2×Q8—861no—
536C2×Q8—861no—
537C2×Q8—861no—
538C2×Q8C2×C22⋊D4312yes—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4C2×C22⋊D4312yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—431no—
549C22×C4—431no—
550C22×C4—431no—
551C22×C4—431no—
552C22×C4—861no—
553C22×C4—861no—
554C22×C4—861no—
555C22×C4—861no—
556C22×C4—3441no—
557C22×C4—1722no—
558C22×C4—1722no—
559C22×C4D4×D4311yescharacteristic
560C22×C4D4×D4311yescharacteristic
561C22×C4C23×D4311yescharacteristic
562Q16—44no—
563Q16—44no—
564Q16—1724no—
565SD16—44no—
566SD16—44no—
567SD16—1724no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—861no—
573C2×C8—861no—
574C2×C8—861no—
575C2×C8—861no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8D4×D4312yes—
579C2×C8#1062190012yes—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—432no—
583C4⋊C4—862no—
584C4⋊C4—862no—
585C4⋊C4—861no—
586C4⋊C4—861no—
587C4⋊C4—861no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—1722no—
591C4⋊C4—1722no—
592C4⋊C4—1722no—
593C4⋊C4—1722no—
594C4⋊C4—1722no—
595C4⋊C4—1722no—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—3441no—
599C22⋊C4—1722no—
600C22⋊C4—1722no—
601C42—861no—
602C42—861no—
603C42—861no—
604C42—861no—
605C42—3441no—
606C42—1722no—
607C42—1722no—
608C42#1062190012yes—
609C42C2×C22⋊D4312yes—
610C23—22no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23C2×D4×D4311yescharacteristic
618Q8—22no—
619Q8—22no—
620Q8—41no—
621Q8—41no—
622Q8—41no—
623Q8—41no—
624Q8—41no—
625Q8—41no—
626Q8—41no—
627Q8—41no—
628Q8—41no—
629Q8—41no—
630Q8—862no—
631Q8—862no—
632Q8—1721no—
633Q8—1721no—
634D4—22no—
635D4—22no—
636D4—41no—
637D4—41no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—432no—
652C2×C4—432no—
653C2×C4—861no—
654C2×C4—861no—
655C2×C4—861no—
656C2×C4—861no—
657C2×C4—861no—
658C2×C4—861no—
659C2×C4—861no—
660C2×C4—861no—
661C2×C4—861no—
662C2×C4—861no—
663C2×C4—862no—
664C2×C4—862no—
665C2×C4—3444no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4—1721no—
675C2×C4—1721no—
676C2×C4#1306329712yes—
677C2×C4#1306329712yes—
678C2×C4C2×D4×D4311yescharacteristic
679C2×C4C22×C22⋊D4311yescharacteristic
680C2×C4C2×#1062190011yescharacteristic
681C2×C4C2×#1062190011yescharacteristic
682C2×C4#1306337011yescharacteristic
683C2×C4#1306337011yescharacteristic
684C8—22no—
685C8—22no—
686C8—1721no—
687C8—1721no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22C2×#1306329711yescharacteristic
696C22#1458353411yescharacteristic
697C22#1458356911yescharacteristic
698C22#137×D4311yescharacteristic
699C22#137×D4311yescharacteristic
700C22#1458370811yescharacteristic
701C22#1458371511yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—81no—
706C4—81no—
707C4—862no—
708C4—862no—
709C4—3441no—
710C4—3441no—
711C4—1721no—
712C4—1722no—
713C4—1722no—
714C4—1721no—
715C4#1458344711yescharacteristic
716C4#1458350311yescharacteristic
717C4D4×C22⋊D4311yescharacteristic
718C4#1458354311yescharacteristic
719C2—82no—
720C2#1913818611yescharacteristic
721C2#1914408011yescharacteristic
722C2#1914414911yescharacteristic
723C2#1914610411yescharacteristic
724C2#1914616411yescharacteristic
725C2#1914762311yescharacteristic
726C2#1914764511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#497C2
socleC23×C43C22×D4
prime radicalC22×D4×C43C23
hypercenterC2×#497D43
hypocenterC43#25382
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#497

Complements

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

NH ≅ G/Ntype
2. C2×#14583107C2semidirect
4. #19139584C2semidirect
6. #19135915C2semidirect
8. #19135693C2semidirect
10. #19135519C2semidirect
11. #19135318C2semidirect
12. #19134938C2semidirect
14. #19134426C2semidirect
426. C43#25382semidirect

Maximal subgroups

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

subgroupindex
C2×#145831182
C2×#145831072
C2×#145831022
#191395842
#191376702
#191359152
#191359082
#191356932
#191356762
#191355192
#191353182
#191349382
#191349312
#191344262
C2×C43×#4972
#2538243