Finite Group Databasebeta

← #25147237

Subgroups — #25147237

Order 11008.

958 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583291C211yesmaximal, characteristic
2C2×#14583121C211yesmaximal, characteristic
3C2×#14583109C211yesmaximal, characteristic, complemented
4C2×#14583106C211yesmaximal, characteristic, complemented
5#19139575C211yesmaximal, characteristic
6#19135917C211yesmaximal, characteristic, complemented
7#19135910C211yesmaximal, characteristic
8#19135694C211yesmaximal, characteristic, complemented
9#19135688C211yesmaximal, characteristic
10#19135527C211yesmaximal, characteristic
11#19135319C211yesmaximal, characteristic, complemented
12#19134950C211yesmaximal, characteristic
13#19134936C211yesmaximal, characteristic, complemented
14#19134428C211yesmaximal, characteristic, complemented
15C43×#2365C211yesmaximal, characteristic, complemented
16C22×#10621885C2211yescharacteristic
17C22×#10621885C2211yescharacteristic
18C22×#10621885C2211yescharacteristic
19C22×#10621885C2211yescharacteristic
20C22×#10621884C2211yescharacteristic
21C22×#10621884C2211yescharacteristic
22C2×#13063325C2211yescharacteristic
23C2×#13063313C2211yescharacteristic
24C2×#13063313C2211yescharacteristic
25C2×C4×Dic86C2211yescharacteristic
26#14583291—24no—
27#14583121—24no—
28#14583109—24no—
29#14583106—24no—
30C2×C4⋊(C43⋊C8)C2211yescharacteristic
31C2×C4⋊(C43⋊C8)C2211yescharacteristic
32C2×C4⋊(C43⋊C8)C2211yescharacteristic
33C2×#13063249C2211yescharacteristic
34C2×#13063249C2211yescharacteristic
35C2×#13063248C2211yescharacteristic
36C2×#13063248C2211yescharacteristic
37C2×#13063248C2211yescharacteristic
38C2×#13063248C2211yescharacteristic
39C2×#13063245C2211yescharacteristic
40C2×#13063245C2211yescharacteristic
41C2×#13063236C2211yescharacteristic
42#14582821—21no—
43#14582821—21no—
44#14582805C2211yescharacteristic
45#14582801C2211yescharacteristic
46#14582791—21no—
47#14582791—21no—
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582654C2211yescharacteristic
51#14582654C2211yescharacteristic
52C2×C4⋊Q8×C43C2211yescharacteristic
53C2×C4×Q8×C43C2211yescharacteristic
54C2×C4×Q8×C43C2211yescharacteristic
55C43×#391C2211yescharacteristic
56C43×#391C2211yescharacteristic
57C43×#389—21no—
58C43×#387—21no—
59C43×#387—21no—
60C4×C4⋊C4×C43—21no—
61C4×C4⋊C4×C43C2211yescharacteristic
62C4×C4⋊C4×C43C2211yescharacteristic
63C22×Dic86C2311yescharacteristic
64C22×Dic86C2311yescharacteristic
65C22×D172C2311yescharacteristic
66C2×#10621885—22no—
67C2×#10621885—22no—
68C2×#10621885—22no—
69C2×#10621885—22no—
70C2×#10621885—22no—
71C2×#10621885—22no—
72C2×#10621885—22no—
73C2×#10621885—22no—
74C2×#10621885—41no—
75C2×#10621885—41no—
76C2×#10621885—41no—
77C2×#10621885—41no—
78C2×#10621884—22no—
79C2×#10621884—22no—
80C2×#10621884—22no—
81C2×#10621884—22no—
82C2×#10621884—41no—
83C2×#10621884—41no—
84C22×C43⋊C8C2311yescharacteristic
85C22×C43⋊C8C2311yescharacteristic
86C22×C43⋊C8C2311yescharacteristic
87C22×C43⋊C8C2311yescharacteristic
88#13063325—22no—
89#13063325—41no—
90#13063313—22no—
91#13063313—22no—
92#13063313—22no—
93#13063313—41no—
94C4×Dic86—22no—
95C4×Dic86—22no—
96C2×C4⋊Dic43—21no—
97C2×C4⋊Dic43—21no—
98C2×C4⋊Dic43C2311yescharacteristic
99C2×Dic43⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×(C2×D43)⋊C4—21no—
105C2×(C2×D43)⋊C4—21no—
106C2×C4×Dic43—21no—
107C4⋊(C43⋊C8)—22no—
108C4⋊(C43⋊C8)—22no—
109C4⋊(C43⋊C8)—22no—
110#13063249—22no—
111#13063249—22no—
112#13063248—22no—
113#13063248—22no—
114#13063248—41no—
115#13063248D414yes—
116#13063245—22no—
117#13063245—41no—
118#13063236—22no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C22×Q8×C43C2311yescharacteristic
122C22×Q8×C43C2311yescharacteristic
123C4⋊Q8×C43—22no—
124C4⋊Q8×C43D414yes—
125C4×Q8×C43—22no—
126C4×Q8×C43—22no—
127C4×Q8×C43—41no—
128C4×Q8×C43—41no—
129C2×C4⋊C4×C43—21no—
130C2×C4⋊C4×C43—21no—
131C2×C4⋊C4×C43—21no—
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43D411yescharacteristic
134C2×C4⋊C4×C43D411yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C4⋊C4×C43C2311yescharacteristic
137C2×C42×C43—21no—
138C2×C42×C43—21no—
139C2×C42×C43—21no—
140C2×C42×C43C2311yescharacteristic
141C2×C42×C43C2311yescharacteristic
142C2×C42×C43C2311yescharacteristic
143#95×C43—21no—
144#95×C43—21no—
145#95×C43—21no—
146#95×C43—21no—
147#95×C43—21no—
148#95×C43D411yescharacteristic
149#95×C43D411yescharacteristic
150C23×D43—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×C43C2×D412yes—
162C2×Q8×C43C2×D412yes—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43C2×D411yescharacteristic
168C22×C4×C43C2×D411yescharacteristic
169C22×C4×C43C2×D411yescharacteristic
170C22×C4×C43C2×D411yescharacteristic
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2×D411yescharacteristic
173C22×C4×C43C2411yescharacteristic
174C22×Dic43—21no—
175C22×Dic43—21no—
176C22×Dic43—21no—
177C2×D172—21no—
178C2×D172—21no—
179C2×D172—21no—
180C2×D172—21no—
181C2×D172—21no—
182C2×D172—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86—21no—
193C2×Dic86—21no—
194C2×Dic86C2×D412yes—
195C4⋊C4×C43—24no—
196C4⋊C4×C43—24no—
197C4⋊C4×C43—22no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—41no—
202C4⋊C4×C43—42no—
203C4⋊C4×C43—42no—
204C4⋊C4×C43C2×D412yes—
205C42×C43—21no—
206C42×C43—21no—
207C42×C43—21no—
208C42×C43—21no—
209C42×C43—42no—
210C42×C43—42no—
211C42×C43—42no—
212C42×C43C2×D412yes—
213C42×C43#4112yes—
214#10621885—44no—
215#10621885—44no—
216#10621885—44no—
217#10621885—44no—
218#10621884—44no—
219#10621884—44no—
220(C2×D43)⋊C4—42no—
221(C2×D43)⋊C4—42no—
222(C2×D43)⋊C4—42no—
223(C2×D43)⋊C4—42no—
224(C2×D43)⋊C4—42no—
225(C2×D43)⋊C4—42no—
226C4⋊Dic43—21no—
227C4⋊Dic43—21no—
228C4⋊Dic43—42no—
229C4⋊Dic43—42no—
230Dic43⋊C4—42no—
231C4×Dic43—42no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C2×C43⋊C8—21no—
241C2×C43⋊C8—21no—
242C2×C43⋊C8C2×D412yes—
243C2×C43⋊C8#4112yes—
244C23×C43C22×D411yescharacteristic
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252Q8×C43—22no—
253Q8×C43—22no—
254Q8×C43—22no—
255Q8×C43—22no—
256Q8×C43—41no—
257Q8×C43—41no—
258Q8×C43—41no—
259Q8×C43—41no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—22no—
267C2×C4×C43—22no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—22no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—21no—
275C2×C4×C43—21no—
276C2×C4×C43—21no—
277C2×C4×C43—21no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—41no—
282C2×C4×C43—41no—
283C2×C4×C43—41no—
284C2×C4×C43—41no—
285C2×C4×C43—41no—
286C2×C4×C43—41no—
287C2×C4×C43#12112yes—
288C2×C4×C43#12112yes—
289C2×C4×C43#13712yes—
290C2×C4×C43C22×D411yescharacteristic
291C2×C4×C43C22×D411yescharacteristic
292C2×C4×C43C2×#4111yescharacteristic
293C2×C4×C43C2×#4111yescharacteristic
294C2×C4×C43H(5,𝔽2)11yescharacteristic
295C2×C4×C43H(5,𝔽2)11yescharacteristic
296C2×Dic43—22no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305D172—41no—
306D172—41no—
307D172—41no—
308D172—41no—
309Dic86—22no—
310Dic86—22no—
311Dic86—41no—
312Dic86—41no—
313Dic86—41no—
314Dic86—41no—
315Dic86—41no—
316Dic86—41no—
317C43⋊C8—22no—
318C43⋊C8—22no—
319C43⋊C8—41no—
320C43⋊C8—41no—
321#25379—431nomaximal, Sylow
322C22×C43C2×#12111yescharacteristic
323C22×C43D4211yescharacteristic
324C22×C43#55011yescharacteristic
325C22×C43C2×#13711yescharacteristic
326C22×C43#57511yescharacteristic
327C22×C43#57811yescharacteristic
328C22×C43#57811yescharacteristic
329C2×D43—81no—
330C2×D43—81no—
331C2×D43—81no—
332C2×D43—81no—
333C2×D43—81no—
334C2×D43—81no—
335C2×D43—81no—
336C4×C43—22no—
337C4×C43—22no—
338C4×C43—22no—
339C4×C43—42no—
340C4×C43—42no—
341C4×C43—41no—
342C4×C43—41no—
343C4×C43—42no—
344C4×C43—41no—
345C4×C43—81no—
346C4×C43#53211yescharacteristic
347C4×C43#54011yescharacteristic
348C4×C43D4211yescharacteristic
349C4×C43#54611yescharacteristic
350Dic43—42no—
351Dic43—81no—
352Dic43—81no—
353C2×#497—431no—
354C2×#464—431no—
355C2×#462—431no—
356C2×#462—431no—
357#2545—431no—
358#2365D4311yescharacteristic, complemented
359#2056—431no—
360#2055—431no—
361#2016—431no—
362#2015—431no—
363#1983—431no—
364#1940—431no—
365#1880—431no—
366#1878—431no—
367#1763—431no—
368C2×C43#242811yescharacteristic
369C2×C43#303711yescharacteristic
370C2×C43#304411yescharacteristic
371C2×C43#326911yescharacteristic
372C2×C43#327011yescharacteristic
373C2×C43#339811yescharacteristic
374C2×C43#340211yescharacteristic
375D43—161no—
376C22×Q16—431no—
377C22×Q16—431no—
378C22×Q16—431no—
379C22×Q16—431no—
380C22×SD16—431no—
381C22×SD16—431no—
382C2×C4⋊Q8—431no—
383C2×C4⋊Q8C2×D4311yescharacteristic
384C2×#124—431no—
385C2×#124—431no—
386C2×C4×Q8—431no—
387C2×C4×Q8C2×D4311yescharacteristic
388C2×C4×Q8C2×D4311yescharacteristic
389#497—864no—
390#464—864no—
391#462—864no—
392#462—864no—
393C2×C4⋊C8—431no—
394C2×C4⋊C8—431no—
395C2×C4⋊C8—431no—
396C2×#103—431no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#102—431no—
403C2×#102—431no—
404C2×#97—431no—
405#396—861no—
406#396—861no—
407#391—431no—
408#391C2×D4311yescharacteristic
409#391C2×D4311yescharacteristic
410#390—431no—
411#389—21no—
412#388—861no—
413#388—861no—
414#387—21no—
415#387—21no—
416C4×C4⋊C4—21no—
417C4×C4⋊C4C2×D4311yescharacteristic
418C4×C4⋊C4C2×D4311yescharacteristic
419#340—431no—
420#340—431no—
421#336—431no—
422#336—431no—
423C43#2537911yescharacteristic, complemented, Sylow
424C22×Q8—431no—
425C22×Q8—431no—
426C22×Q8C22×D4311yescharacteristic
427C22×Q8C22×D4311yescharacteristic
428C22×D4—431no—
429C2×Q16—862no—
430C2×Q16—862no—
431C2×Q16—862no—
432C2×Q16—862no—
433C2×Q16—862no—
434C2×Q16—862no—
435C2×Q16—862no—
436C2×Q16—862no—
437C2×Q16—1721no—
438C2×Q16—1721no—
439C2×Q16—1721no—
440C2×Q16—1721no—
441C2×SD16—862no—
442C2×SD16—862no—
443C2×SD16—862no—
444C2×SD16—862no—
445C2×SD16—1721no—
446C2×SD16—1721no—
447C22×C8—431no—
448C22×C8—431no—
449C22×C8—431no—
450C22×C8—431no—
451C4⋊Q8—22no—
452C4⋊Q8—862no—
453C4⋊Q8—1721no—
454C4⋊Q8D17214yes—
455#124—862no—
456#124—862no—
457#124—862no—
458#124—1721no—
459C4×Q8—22no—
460C4×Q8—22no—
461C4×Q8—41no—
462C4×Q8—41no—
463C4×Q8—862no—
464C4×Q8—862no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4C22⋊D4311yescharacteristic
474C2×C4⋊C4C22⋊D4311yescharacteristic
475C2×C4⋊C4C22×D4311yescharacteristic
476C2×C4⋊C4C22×D4311yescharacteristic
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C42—21no—
484C2×C42—21no—
485C2×C42—21no—
486C2×C42—861no—
487C2×C42C22×D4311yescharacteristic
488C2×C42C22×D4311yescharacteristic
489C2×C42C22×D4311yescharacteristic
490C4⋊C8—862no—
491C4⋊C8—862no—
492C4⋊C8—862no—
493#103—434no—
494#103—862no—
495#103—862no—
496#103—862no—
497#103—862no—
498#103—1721no—
499#102—862no—
500#102—1721no—
501#97—862no—
502#95—21no—
503#95—21no—
504#95—21no—
505#95—21no—
506#95—21no—
507#95—861no—
508#95—861no—
509#95C22⋊D4311yescharacteristic
510#95C22⋊D4311yescharacteristic
511C24—861no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—432no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8—861no—
529C2×Q8—861no—
530C2×Q8—861no—
531C2×Q8—861no—
532C2×Q8—861no—
533C2×Q8—861no—
534C2×Q8C2×D17212yes—
535C2×Q8C2×D17212yes—
536C2×D4—861no—
537C2×D4—861no—
538C2×D4—861no—
539C2×D4—861no—
540C2×D4—861no—
541C2×D4—861no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4C2×C22⋊D4311yescharacteristic
550C22×C4C2×C22⋊D4311yescharacteristic
551C22×C4C2×C22⋊D4311yescharacteristic
552C22×C4C2×C22⋊D4311yescharacteristic
553C22×C4C2×C22⋊D4311yescharacteristic
554C22×C4C2×C22⋊D4311yescharacteristic
555C22×C4C23×D4311yescharacteristic
556Q16—1724no—
557Q16—1724no—
558Q16—1724no—
559Q16—1724no—
560SD16—1724no—
561SD16—1724no—
562C2×C8—432no—
563C2×C8—432no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—861no—
570C2×C8—861no—
571C2×C8—861no—
572C2×C8—861no—
573C2×C8—861no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—22no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—41no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—861no—
584C4⋊C4—861no—
585C4⋊C4—1722no—
586C4⋊C4—1722no—
587C4⋊C4—1722no—
588C4⋊C4D4×D4312yes—
589C22⋊C4—1722no—
590C22⋊C4—1722no—
591C22⋊C4—1722no—
592C22⋊C4—1722no—
593C22⋊C4—1722no—
594C22⋊C4—1722no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—42no—
600C42—42no—
601C42—42no—
602C42—1722no—
603C42C2×D17212yes—
604C42#1062189812yes—
605C23—1721no—
606C23—1721no—
607C23—1721no—
608C23—1721no—
609C23—1721no—
610C23—1721no—
611C23—1721no—
612C23C22×C22⋊D4311yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—22no—
616Q8—22no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621Q8—862no—
622Q8—862no—
623Q8—1721no—
624Q8—1721no—
625Q8—1721no—
626Q8—1721no—
627Q8—1721no—
628Q8—1721no—
629D4—1721no—
630D4—1721no—
631D4—1721no—
632D4—1721no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—862no—
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#1306329912yes—
670C2×C4#1306329912yes—
671C2×C4#1306335612yes—
672C2×C4C2×D4×D4311yescharacteristic
673C2×C4C22×D17211yescharacteristic
674C2×C4#41×D4311yescharacteristic
675C2×C4C2×#1062189811yescharacteristic
676C2×C4#1306337011yescharacteristic
677C2×C4#1306337111yescharacteristic
678C8—862no—
679C8—862no—
680C8—1721no—
681C8—1721no—
682C22—3441no—
683C22—3441no—
684C22—3441no—
685C22—3441no—
686C22—3441no—
687C22—3441no—
688C22—3441no—
689C22C2×#1306329911yescharacteristic
690C22D4×C22⋊D4311yescharacteristic
691C22#1458356811yescharacteristic
692C22C2×#1306335611yescharacteristic
693C22#1458369711yescharacteristic
694C22#1458371411yescharacteristic
695C22#1458371411yescharacteristic
696C4—22no—
697C4—22no—
698C4—22no—
699C4—42no—
700C4—42no—
701C4—41no—
702C4—41no—
703C4—42no—
704C4—41no—
705C4—81no—
706C4—3441no—
707C4—3441no—
708C4—1722no—
709C4#1458344611yescharacteristic
710C4#1458350011yescharacteristic
711C4D4×D17211yescharacteristic
712C4#1458354411yescharacteristic
713C2—6881no—
714C2#1913817711yescharacteristic
715C2#1914406711yescharacteristic
716C2#1914412511yescharacteristic
717C2#1914614611yescharacteristic
718C2#1914616611yescharacteristic
719C2#1914762211yescharacteristic
720C2#1914767011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2365C2
socleC23×C43C22×D4
prime radicalC22×D172C23
hypercenter#2365D43
hypocenterC43#25379
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2365

Complements

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

NH ≅ G/Ntype
3. C2×#14583109C2semidirect
4. C2×#14583106C2semidirect
6. #19135917C2semidirect
8. #19135694C2semidirect
11. #19135319C2semidirect
13. #19134936C2semidirect
14. #19134428C2semidirect
15. C43×#2365C2semidirect
358. #2365D43semidirect
423. C43#25379semidirect

Maximal subgroups

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

subgroupindex
C2×#145832912
C2×#145831212
C2×#145831092
C2×#145831062
#191395752
#191359172
#191359102
#191356942
#191356882
#191355272
#191353192
#191349502
#191349362
#191344282
C43×#23652
#2537943