Finite Group Databasebeta

← #25118998

Subgroups — #25118998

Order 11008.

1122 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583095C211yesmaximal, characteristic
2C2×#14583010C211yesmaximal, characteristic, complemented
3C2×#14582981C211yesmaximal, characteristic, complemented
4#19137659C211yesmaximal, characteristic, complemented
5#19137503C211yesmaximal, characteristic, complemented
6#19135418C211yesmaximal, characteristic, complemented
7#19135290C211yesmaximal, characteristic, complemented
8#19135276C211yesmaximal, characteristic, complemented
9#19134944C211yesmaximal, characteristic, complemented
10#19134944C211yesmaximal, characteristic, complemented
11#19134853C211yesmaximal, characteristic, complemented
12#19134839C211yesmaximal, characteristic, complemented
13#19134472C211yesmaximal, characteristic, complemented
14#19134423C211yesmaximal, characteristic, complemented
15C43×#1949C211yesmaximal, characteristic, complemented
16C22×D344C2211yescharacteristic
17C22×D344C2211yescharacteristic
18C2×#13063322C2211yescharacteristic
19C2×C4×D172—21no—
20C2×C4×D172C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22C2×#13063287C2211yescharacteristic
23C2×#13063287C2211yescharacteristic
24C2×#13063287C2211yescharacteristic
25#14583095C418yescomplemented
26#14583010—24no—
27#14582981—24no—
28C2×#13063247C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063245C2211yescharacteristic
31C2×#13063245C2211yescharacteristic
32C2×#13063245C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×#13063245C2211yescharacteristic
36C2×#13063236C2211yescharacteristic
37C2×#13063235C2211yescharacteristic
38C2×C8×Dic43C2211yescharacteristic
39#14582801—21no—
40#14582800C2211yescharacteristic
41#14582800C2211yescharacteristic
42#14582795C2211yescharacteristic
43#14582795C2211yescharacteristic
44#14582777—21no—
45#14582777—21no—
46#14582773—21no—
47#14582773—21no—
48#14582758—21no—
49C4×C4⋊Dic43C2211yescharacteristic
50#95×D43—21no—
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×#107×C43C2211yescharacteristic
56C2×#106×C43C2211yescharacteristic
57C2×C4⋊C8×C43C2211yescharacteristic
58C43×#382C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×D172—21no—
63C22×D172—21no—
64C22×D172C2311yescharacteristic
65C22×D172C2311yescharacteristic
66C22×D172C2311yescharacteristic
67C22×C4×D43—21no—
68C22×C4×D43—21no—
69C22×C4×D43—21no—
70C22×C4×D43—21no—
71C22×C4×D43—21no—
72C2×D344—22no—
73C2×D344—22no—
74C2×D344—22no—
75C2×D344—22no—
76C2×D344C2×C414yescomplemented
77C2×D344C2×C414yescomplemented
78C22×C43⋊C8C2311yescharacteristic
79C22×C43⋊C8C2311yescharacteristic
80#13063322—22no—
81#13063322C2×C414yescomplemented
82C4×D172—22no—
83C4×D172—44no—
84C4×D172C2×C414yescomplemented
85#13063287—22no—
86#13063287—22no—
87#13063287—22no—
88#13063287—22no—
89#13063287—41no—
90#13063287—41no—
91#13063287—41no—
92#13063287—41no—
93C2×C4⋊Dic43D411yescharacteristic
94C2×C4⋊Dic43D411yescharacteristic
95C2×C4⋊Dic43C2311yescharacteristic
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊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×(C2×D43)⋊C4—21no—
107C2×C4×Dic43C2311yescharacteristic
108C2×C4×Dic43C2311yescharacteristic
109#13063247C2×C414yescomplemented
110#13063247C2×C414yescomplemented
111#13063245—22no—
112#13063245—22no—
113#13063245—22no—
114#13063245—41no—
115#13063245—41no—
116#13063245D414yescomplemented
117#13063236—22no—
118#13063235—22no—
119C8×Dic43—22no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95D411yescharacteristic
123C43⋊#95D411yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C42×C43—21no—
131C2×C42×C43C2311yescharacteristic
132#107×C43—22no—
133#106×C43—22no—
134C4⋊C8×C43C2×C414yescomplemented
135#95×C43—21no—
136#95×C43—21no—
137#95×C43—21no—
138C23×D43—21no—
139C23×D43—21no—
140C23×D43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43C2×D411yescharacteristic
146C22×C4×C43C2×D411yescharacteristic
147C22×C4×C43C2411yescharacteristic
148C22×Dic43—21no—
149C22×Dic43C2×D411yescharacteristic
150C22×Dic43C2×D411yescharacteristic
151C22×Dic43C2×D411yescharacteristic
152C22×Dic43C2×D411yescharacteristic
153C2×D172—21no—
154C2×D172—21no—
155C2×D172—21no—
156C2×D172—24no—
157C2×D172—21no—
158C2×D172—21no—
159C2×D172—24no—
160C2×D172—21no—
161C2×D172—21no—
162C2×D172—21no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—21no—
166C2×D172—21no—
167C2×D172—21no—
168C2×D172—42no—
169C2×D172—42no—
170C2×D172—81no—
171C2×D172—81no—
172C2×D172C22×C412yes—
173C2×D172C22×C412yes—
174C2×D172C22×C412yes—
175C2×D172C2×D412yes—
176C2×D172#4112yes—
177C2×C4×D43—24no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×C4×D43—42no—
181C2×C4×D43—42no—
182C2×C4×D43—42no—
183C2×C4×D43—42no—
184C2×C4×D43—42no—
185C2×C4×D43—42no—
186C2×C4×D43—81no—
187C2×C4×D43—81no—
188C2×C4×D43—81no—
189C2×C4×D43—81no—
190C2×C4×D43—81no—
191C2×C4×D43—81no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43C22×C412yes—
197C2×C8×C43C22×C412yes—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43C2×D412yes—
206C42×C43—42no—
207C42×C43C22×C412yes—
208C42×C43#4112yes—
209(C2×D43)⋊C4—24no—
210(C2×D43)⋊C4—42no—
211(C2×D43)⋊C4—42no—
212(C2×D43)⋊C4—42no—
213(C2×D43)⋊C4—42no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—42no—
216(C2×D43)⋊C4—81no—
217(C2×D43)⋊C4—81no—
218C4⋊Dic43—21no—
219C4⋊Dic43—22no—
220C4⋊Dic43—41no—
221C4⋊Dic43C22×C412yes—
222Dic43⋊C4—81no—
223Dic43⋊C4—81no—
224C4×Dic43—21no—
225C4×Dic43—21no—
226C4×Dic43—21no—
227C4×Dic43—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8C2×D412yes—
234D344—28no—
235D344—28no—
236C23×C43C22×D411yescharacteristic
237C22×D43—22no—
238C22×D43—22no—
239C22×D43—22no—
240C22×D43—22no—
241C22×D43—22no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255C22×D43—41no—
256C22×D43—41no—
257C22×D43—41no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—22no—
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×C43—41no—
274C2×C4×C43C4×D412yes—
275C2×C4×C43C4×D412yes—
276C2×C4×C43C23×C411yescharacteristic
277C2×C4×C43C22×D411yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C43H(5,𝔽2)11yescharacteristic
281C2×C4×C432−1+411yescharacteristic
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—22no—
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×Dic43AGL(1,ℤ/8)12yes—
297D172—22no—
298D172—22no—
299D172—22no—
300D172—22no—
301D172—22no—
302D172—22no—
303D172—22no—
304D172—48no—
305D172—41no—
306D172—41no—
307D172—41no—
308D172—41no—
309D172—84no—
310D172C4×D414yescomplemented
311C4×D43—84no—
312C4×D43—84no—
313C4×D43—84no—
314C4×D43—84no—
315C4×D43—84no—
316C8×C43—22no—
317C8×C43—22no—
318C43⋊C8—22no—
319C43⋊C8—41no—
320#23008—431nomaximal, Sylow
321C22×C43C2×C4×D411yescharacteristic
322C22×C43D4211yescharacteristic
323C22×C43#54811yescharacteristic
324C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
325C22×C43#57511yescharacteristic
326C22×C43#57611yescharacteristic
327C22×C43#57611yescharacteristic
328C2×D43—24no—
329C2×D43—42no—
330C2×D43—42no—
331C2×D43—42no—
332C2×D43—42no—
333C2×D43—42no—
334C2×D43—42no—
335C2×D43—42no—
336C2×D43—42no—
337C2×D43—42no—
338C2×D43—42no—
339C2×D43—42no—
340C2×D43—42no—
341C2×D43—81no—
342C2×D43—81no—
343C2×D43—81no—
344C2×D43—81no—
345C2×D43—81no—
346C2×D43—81no—
347C2×D43—81no—
348C2×D43—81no—
349C4×C43—22no—
350C4×C43—22no—
351C4×C43—42no—
352C4×C43—81no—
353C4×C43—81no—
354C4×C43—81no—
355C4×C43C2×C4×D411yescharacteristic
356C4×C43#52011yescharacteristic
357C4×C43#54711yescharacteristic
358C4×C43#55311yescharacteristic
359Dic43—22no—
360Dic43—42no—
361Dic43—41no—
362Dic43—41no—
363Dic43—41no—
364C2×#459—431no—
365C2×#442—431no—
366C2×C4×D8—431no—
367#2366—431no—
368#2349—431no—
369#1961—431no—
370#1949D4311yescharacteristic, complemented
371#1936—431no—
372#1934—431no—
373#1879—431no—
374#1879—431no—
375#1864—431no—
376#1862—431no—
377#1771—431no—
378#1762—431no—
379C2×C43#236111yescharacteristic
380C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
381C2×C43#294811yescharacteristic
382C2×C43#326411yescharacteristic
383C2×C43#326811yescharacteristic
384C2×C43#336611yescharacteristic
385C2×C43#337011yescharacteristic
386D43—44no—
387D43—82no—
388D43—82no—
389C22×D8—431no—
390C22×D8—431no—
391C2×#127—431no—
392C2×C4×D4—431no—
393C2×C4×D4—431no—
394C2×C4×D4—431no—
395C2×C4×D4—431no—
396C2×C4×D4—431no—
397C2×C4×D4—861no—
398#459—438no—
399#442—864no—
400C4×D8—864no—
401C2×#107C2×D4311yescharacteristic
402C2×#106C2×D4311yescharacteristic
403C2×C4⋊C8C2×D4311yescharacteristic
404C2×#102—431no—
405C2×#102—431no—
406C2×#102—431no—
407C2×#102—431no—
408C2×#102—431no—
409C2×#102—431no—
410C2×#102—431no—
411C2×#102—431no—
412C2×#97—431no—
413C2×#97—431no—
414C2×C4×C8—431no—
415#390—431no—
416#390—431no—
417#390—861no—
418#389—431no—
419#389—431no—
420#386—861no—
421#386—861no—
422#385—861no—
423#385—861no—
424#382C2×D4311yescharacteristic
425#380—861no—
426C4×C4⋊C4—431no—
427C4×C4⋊C4C2×D4311yescharacteristic
428C2×#95—861no—
429#340—431no—
430#340—431no—
431#340C2×D4311yescharacteristic
432#340C2×D4311yescharacteristic
433#336—431no—
434#336—431no—
435C43#2300811yescharacteristic, complemented, Sylow
436C22×D4—431no—
437C22×D4—431no—
438C22×D4—431no—
439C22×D4—861no—
440C22×D4—861no—
441C23×C4—861no—
442C23×C4—861no—
443C23×C4—861no—
444C23×C4—861no—
445C23×C4—861no—
446C2×D8—434no—
447C2×D8—434no—
448C2×D8—862no—
449C2×D8—862no—
450C2×D8—862no—
451C2×D8—862no—
452C22×C8—431no—
453C22×C8—431no—
454C22×C8C22×D4311yescharacteristic
455C22×C8C22×D4311yescharacteristic
456#127—434no—
457#127—862no—
458C4×D4—434no—
459C4×D4—862no—
460C4×D4—862no—
461C4×D4—862no—
462C4×D4—862no—
463C4×D4—862no—
464C4×D4—1724no—
465C4×D4—1721no—
466C4×D4—1721no—
467C4×D4—1721no—
468C4×D4—1721no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4C22×D4311yescharacteristic
475C2×C4⋊C4C22×D4311yescharacteristic
476C2×C4⋊C4C22×D4311yescharacteristic
477C2×C4⋊C4C22×D4311yescharacteristic
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C22⋊C4—861no—
485C2×C22⋊C4—861no—
486C2×C22⋊C4—861no—
487C2×C42—21no—
488C2×C42—431no—
489C2×C42—431no—
490C2×C42C22×D4311yescharacteristic
491#107—22no—
492#106—22no—
493C4⋊C8C4×D4314yescomplemented
494#102—434no—
495#102—434no—
496#102—434no—
497#102—862no—
498#102—862no—
499#102—862no—
500#102—1721no—
501#102—1721no—
502#97—862no—
503#97—862no—
504C4×C8—862no—
505#95—21no—
506#95—21no—
507#95—21no—
508#95—431no—
509#95—431no—
510#95—861no—
511#95—861no—
512C24—861no—
513C24—861no—
514C24—861no—
515C2×D4—432no—
516C2×D4—432no—
517C2×D4—432no—
518C2×D4—432no—
519C2×D4—432no—
520C2×D4—864no—
521C2×D4—864no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—861no—
525C2×D4—861no—
526C2×D4—861no—
527C2×D4—861no—
528C2×D4—861no—
529C2×D4—861no—
530C2×D4—861no—
531C2×D4—861no—
532C2×D4—861no—
533C2×D4—861no—
534C2×D4—861no—
535C2×D4—3441no—
536C2×D4—3441no—
537C2×D4—1722no—
538C2×D4—1722no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—431no—
544C22×C4—431no—
545C22×C4—431no—
546C22×C4—431no—
547C22×C4—861no—
548C22×C4—864no—
549C22×C4—3441no—
550C22×C4—3441no—
551C22×C4—3441no—
552C22×C4—3441no—
553C22×C4—3441no—
554C22×C4—3441no—
555C22×C4—1722no—
556C22×C4—1722no—
557C22×C4—1722no—
558C22×C4—1722no—
559C22×C4—1722no—
560C22×C4—1722no—
561C22×C4—1722no—
562C22×C4—1722no—
563C22×C4D4×D4311yescharacteristic
564C22×C4D4×D4311yescharacteristic
565C22×C4C23×D4311yescharacteristic
566D8—868no—
567D8—868no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—432no—
573C2×C8—861no—
574C2×C8—861no—
575C2×C8—861no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8C2×C4×D4312yes—
579C2×C8C2×C4×D4312yes—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—432no—
588C4⋊C4—862no—
589C4⋊C4—861no—
590C4⋊C4—3441no—
591C4⋊C4—3441no—
592C4⋊C4—1721no—
593C4⋊C4D4×D4312yes—
594C22⋊C4—864no—
595C22⋊C4—3441no—
596C22⋊C4—3441no—
597C22⋊C4—1722no—
598C22⋊C4—1722no—
599C22⋊C4—1722no—
600C22⋊C4—1722no—
601C22⋊C4—1722no—
602C22⋊C4—1722no—
603C42—42no—
604C42—861no—
605C42—861no—
606C42—861no—
607C42—861no—
608C42C2×C4×D4312yes—
609C42#1062190212yes—
610C23—862no—
611C23—862no—
612C23—862no—
613C23—862no—
614C23—862no—
615C23—1721no—
616C23—1721no—
617C23—1721no—
618C23—1721no—
619C23—1721no—
620C23—1721no—
621C23—1721no—
622C23—1721no—
623C23—1721no—
624C23—1721no—
625C23—1721no—
626C23—1721no—
627C23—1721no—
628C23—1721no—
629C23—1721no—
630C23—1721no—
631C23C2×D4×D4311yescharacteristic
632D4—434no—
633D4—862no—
634D4—862no—
635D4—862no—
636D4—862no—
637D4—862no—
638D4—862no—
639D4—862no—
640D4—3444no—
641D4—1728no—
642D4—1721no—
643D4—1721no—
644D4—1721no—
645D4—1721no—
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—41no—
661C2×C4—41no—
662C2×C4—432no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—862no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—861no—
671C2×C4—861no—
672C2×C4—861no—
673C2×C4—861no—
674C2×C4—861no—
675C2×C4—3444no—
676C2×C4—3444no—
677C2×C4—3444no—
678C2×C4—3444no—
679C2×C4—3444no—
680C2×C4—1721no—
681C2×C4—1721no—
682C2×C4#1306328712yes—
683C2×C4#1306328712yes—
684C2×C4C22×C4×D4311yescharacteristic
685C2×C4C2×D4×D4311yescharacteristic
686C2×C4#41×D4311yescharacteristic
687C2×C4C2×#1062190211yescharacteristic
688C2×C4#1306337111yescharacteristic
689C2×C4#1306337311yescharacteristic
690C8—22no—
691C8—22no—
692C8—862no—
693C8—1721no—
694C22—864no—
695C22—3441no—
696C22—3441no—
697C22—3441no—
698C22—3441no—
699C22—3441no—
700C22—3441no—
701C22—3441no—
702C22—3441no—
703C22—1722no—
704C22—1722no—
705C22—1722no—
706C22—1722no—
707C22—1722no—
708C22—1722no—
709C22—1722no—
710C22—1722no—
711C22—1722no—
712C22—1722no—
713C22—1722no—
714C22—1722no—
715C22C2×#1306328711yescharacteristic
716C22#1458353311yescharacteristic
717C22#1458355911yescharacteristic
718C22AGL(1,ℤ/8)×D4311yescharacteristic
719C22#1458369811yescharacteristic
720C22#1458370111yescharacteristic
721C22#1458370111yescharacteristic
722C4—22no—
723C4—22no—
724C4—42no—
725C4—81no—
726C4—81no—
727C4—81no—
728C4—862no—
729C4—1722no—
730C4—1721no—
731C4—1721no—
732C4—1721no—
733C4C4×D4×D4311yescharacteristic
734C4#1458338111yescharacteristic
735C4#1458355211yescharacteristic
736C4#1458360211yescharacteristic
737C2—3442no—
738C2—3442no—
739C2—1724no—
740C2#1913761011yescharacteristic
741C2#1914340211yescharacteristic
742C2#1914344611yescharacteristic
743C2#1914608111yescharacteristic
744C2#1914613011yescharacteristic
745C2#1914730511yescharacteristic
746C2#1914735111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1949C2
socleC23×C43C22×D4
prime radicalC2×#14583095C2
cosocleC22×C4×C43C24
hypercenter#1949D43
hypocenterC43#23008
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1949

Complements

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

NH ≅ G/Ntype
2. C2×#14583010C2semidirect
3. C2×#14582981C2semidirect
4. #19137659C2semidirect
5. #19137503C2semidirect
6. #19135418C2semidirect
7. #19135290C2semidirect
8. #19135276C2semidirect
9. #19134944C2semidirect
10. #19134944C2semidirect
11. #19134853C2semidirect
12. #19134839C2semidirect
13. #19134472C2semidirect
14. #19134423C2semidirect
15. C43×#1949C2semidirect
25. #14583095C4semidirect
76. C2×D344C2×C4semidirect
77. C2×D344C2×C4semidirect
81. #13063322C2×C4semidirect
84. C4×D172C2×C4semidirect
109. #13063247C2×C4semidirect
110. #13063247C2×C4semidirect
116. #13063245D4semidirect
134. C4⋊C8×C43C2×C4semidirect
310. D172C4×D4semidirect
370. #1949D43semidirect
435. C43#23008semidirect
493. C4⋊C8C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830952
C2×#145830102
C2×#145829812
#191376592
#191375032
#191354182
#191352902
#191352762
#191349442
#191348532
#191348392
#191344722
#191344232
C43×#19492
#2300843