Finite Group Databasebeta

← #25130419

Subgroups — #25130419

Order 11008.

1084 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583607C211yesmaximal, characteristic
2C2×#14583237C211yesmaximal, characteristic, complemented
3C2×#14582941C211yesmaximal, characteristic, complemented
4#19138893C211yesmaximal, characteristic
5#19135927C211yesmaximal, characteristic, complemented
6#19135922C211yesmaximal, characteristic, complemented
7#19135797C211yesmaximal, characteristic, complemented
8#19135790C211yesmaximal, characteristic, complemented
9#19134892C211yesmaximal, characteristic
10#19134865C211yesmaximal, characteristic, complemented
11#19134851C211yesmaximal, characteristic, complemented
12#19134789C211yesmaximal, characteristic, complemented
13#19134784C211yesmaximal, characteristic, complemented
14#19134679C211yesmaximal, characteristic, complemented
15C43×#1894C211yesmaximal, characteristic, complemented
16#14583607—24no—
17#14583607—24no—
18C2×#13063324C2211yescharacteristic
19C2×#13063315—21no—
20C2×#13063305—21no—
21C2×#13063302—21no—
22C2×#13063301C2211yescharacteristic
23C2×Q8×Dic43C2211yescharacteristic
24C2×C4×C22⋊D43C2211yescharacteristic
25C2×(C22⋊D43)⋊C4—21no—
26C2×#13063284C2211yescharacteristic
27C22×C4⋊Dic43C2211yescharacteristic
28C2×C4⋊C4×D43C2211yescharacteristic
29#14583237—24no—
30#14582941—24no—
31C2×#13063259C2211yescharacteristic
32C2×#13063259C2211yescharacteristic
33C2×#13063258C2211yescharacteristic
34C2×#13063257C2211yescharacteristic
35C2×#13063257C2211yescharacteristic
36C2×#13063256C2211yescharacteristic
37C2×#13063249C2211yescharacteristic
38C2×#13063249C2211yescharacteristic
39C2×C22⋊(C43⋊C8)C2211yescharacteristic
40C2×(C2×D43)⋊C8C2211yescharacteristic
41C2×(C2×D43)⋊C8C2211yescharacteristic
42#14582824—21no—
43#14582815—21no—
44#14582798C2211yescharacteristic
45#14582798C2211yescharacteristic
46#14582791—21no—
47#14582784—21no—
48#14582756C2211yescharacteristic
49#14582756C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C22×M16×C43C2211yescharacteristic
57C2×C22⋊Q8×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C43×#380C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C43×#340C2211yescharacteristic
63C22×Dic86—21no—
64C22×C22⋊D43D411yescharacteristic
65C23×Dic43—21no—
66C22×C4×D43—21no—
67C22×C4×D43C2311yescharacteristic
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70#13063324—22no—
71#13063324—22no—
72#13063315—28no—
73#13063305—28no—
74#13063302—28no—
75#13063301—22no—
76#13063301—22no—
77Q8×Dic43—22no—
78Q8×Dic43—22no—
79C4×C22⋊D43—22no—
80C4×C22⋊D43—22no—
81(C22⋊D43)⋊C4—28no—
82#13063284—22no—
83#13063284—22no—
84C2×C4⋊Dic43—22no—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43—21no—
88C2×C4⋊Dic43—21no—
89C2×C4⋊Dic43D414yes—
90C2×C4⋊Dic43C2311yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4—21no—
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4D411yescharacteristic
98C4⋊C4×D43—22no—
99C4⋊C4×D43—22no—
100C2×C22⋊Dic43—21no—
101C2×C22⋊Dic43D411yescharacteristic
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×(C2×D43)⋊C4—21no—
105C2×(C2×D43)⋊C4D411yescharacteristic
106C2×C4×Dic43—21no—
107C2×C4×Dic43—21no—
108C2×C4×Dic43C2311yescharacteristic
109#13063259—22no—
110#13063259—22no—
111#13063258—22no—
112#13063257—22no—
113#13063257—22no—
114#13063256—22no—
115#13063249—22no—
116#13063249—22no—
117C22⋊(C43⋊C8)—22no—
118(C2×D43)⋊C8—22no—
119(C2×D43)⋊C8—22no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C22×Q8×C43C2311yescharacteristic
125C23×C4×C43C2311yescharacteristic
126C2×M16×C43—22no—
127C2×M16×C43—22no—
128C2×M16×C43—22no—
129C22×C8×C43C2311yescharacteristic
130C22×C8×C43C2311yescharacteristic
131C22⋊Q8×C43—22no—
132C22⋊Q8×C43D414yes—
133C2×C4⋊C4×C43—21no—
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C4⋊C4×C43C2311yescharacteristic
137C2×C22⋊C4×C43—21no—
138C2×C22⋊C4×C43—21no—
139#103×C43—22no—
140#103×C43—22no—
141#95×C43—21no—
142C24×C43C2×D411yescharacteristic
143C23×D43C2×D411yescharacteristic
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43C2×D412yes—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43C2×D412yes—
159C22×C4×C43C2×D412yes—
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2411yescharacteristic
162C2×C22⋊D43—22no—
163C2×C22⋊D43—22no—
164C2×C22⋊D43—22no—
165C22×Dic43—24no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—81no—
171C22×Dic43—81no—
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C2×C4×D43—21no—
176C2×C4×D43—21no—
177C2×C4×D43—21no—
178C2×C4×D43—21no—
179C2×C4×D43—21no—
180C2×C4×D43—21no—
181C2×C4×D43—24no—
182C2×C4×D43—81no—
183C2×C4×D43—81no—
184C2×Dic86—24no—
185C2×Dic86—81no—
186C2×Dic86—81no—
187M16×C43—28no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43#4112yes—
193C2×C8×C43#4112yes—
194C4⋊C4×C43—24no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43C2×D412yes—
201C22⋊C4×C43—24no—
202C22⋊C4×C43—81no—
203C22⋊Dic43—22no—
204C22⋊Dic43—42no—
205(C2×D43)⋊C4—24no—
206(C2×D43)⋊C4—22no—
207(C2×D43)⋊C4—42no—
208(C2×D43)⋊C4—81no—
209C4⋊Dic43—24no—
210C4⋊Dic43—24no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—42no—
218C4⋊Dic43—81no—
219C4⋊Dic43C2×D412yes—
220C4⋊Dic43C2×D412yes—
221Dic43⋊C4—24no—
222Dic43⋊C4—24no—
223Dic43⋊C4—24no—
224Dic43⋊C4—22no—
225C4×Dic43—24no—
226C4×Dic43—21no—
227C4×Dic43—21no—
228C4×Dic43—42no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43#12012yes—
242C23×C43C22×D411yescharacteristic
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—21no—
248C22×D43—21no—
249C22×D43#13712yes—
250Q8×C43—22no—
251Q8×C43—22no—
252Q8×C43—41no—
253Q8×C43—41no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
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#12012yes—
273C2×C4×C43C22×D411yescharacteristic
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C432−1+411yescharacteristic
278C2×C4×C432−1+411yescharacteristic
279C22⋊D43—28no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—22no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—22no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—84no—
301C2×Dic43#13712yes—
302C4×D43—41no—
303C4×D43—41no—
304C4×D43—41no—
305C4×D43—41no—
306C4×D43—84no—
307Dic86—84no—
308C8×C43—22no—
309C8×C43—22no—
310C43⋊C8—41no—
311C43⋊C8—41no—
312#24109—431nomaximal, Sylow
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—22no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43—41no—
320C22×C43C2×#12011yescharacteristic
321C22×C43#54711yescharacteristic
322C22×C43#54711yescharacteristic
323C22×C43C2×#13711yescharacteristic
324C22×C43C2×#13711yescharacteristic
325C22×C43#57611yescharacteristic
326C22×C43#57711yescharacteristic
327C2×D43—22no—
328C2×D43—22no—
329C2×D43—22no—
330C2×D43—41no—
331C2×D43—41no—
332C2×D43—41no—
333C2×D43—41no—
334C4×C43—22no—
335C4×C43—42no—
336C4×C43—42no—
337C4×C43—81no—
338C4×C43—81no—
339C4×C43#52511yescharacteristic
340C4×C43#53611yescharacteristic
341C4×C43#54711yescharacteristic
342C4×C43#54711yescharacteristic
343Dic43—22no—
344Dic43—41no—
345Dic43—41no—
346Dic43—42no—
347Dic43—42no—
348Dic43—81no—
349Dic43—81no—
350C2×#554—431no—
351C2×#485—431no—
352C2×#428—431no—
353#2485—431no—
354#2058—431no—
355#2057—431no—
356#2036—431no—
357#2035—431no—
358#1894D4311yescharacteristic, complemented
359#1870—431no—
360#1865—431no—
361#1863—431no—
362#1853—431no—
363#1852—431no—
364#1823—431no—
365C2×C43—42no—
366C2×C43#240611yescharacteristic
367C2×C43#300411yescharacteristic
368C2×C43#301211yescharacteristic
369C2×C43#334411yescharacteristic
370C2×C43#334611yescharacteristic
371C2×C43#335611yescharacteristic
372C2×C43#335711yescharacteristic
373D43—42no—
374C22×M16C2×D4311yescharacteristic
375#554—864no—
376#554—864no—
377C2×C4⋊Q8—431no—
378C2×#125—861no—
379C2×C22⋊Q8—431no—
380C2×C22⋊Q8—861no—
381C2×C22⋊Q8—861no—
382C2×C22⋊Q8C2×D4311yescharacteristic
383C2×C4×Q8—431no—
384C2×C4×D4—431no—
385C2×C4×D4—861no—
386C2×#117—431no—
387C22×C4⋊C4—431no—
388C22×C4⋊C4—431no—
389#485—864no—
390#428—864no—
391C2×#107—431no—
392C2×#107—431no—
393C2×#107—431no—
394C2×#106—431no—
395C2×#106—431no—
396C2×#106—431no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#103C2×D4311yescharacteristic
400C2×#103C2×D4311yescharacteristic
401C2×C22⋊C8—431no—
402C2×C22⋊C8—431no—
403C2×C22⋊C8—431no—
404#397—861no—
405#394—861no—
406#389—431no—
407#389—431no—
408#388—861no—
409#387—861no—
410#380—431no—
411#380—431no—
412#380C2×D4311yescharacteristic
413#340—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#340C2×D4311yescharacteristic
418#340C2×D4311yescharacteristic
419#336—431no—
420#336—431no—
421C43#2410911yescharacteristic, complemented, Sylow
422C22×Q8—861no—
423C22×Q8C22×D4311yescharacteristic
424C22×D4—431no—
425C23×C4—431no—
426C23×C4—861no—
427C23×C4—861no—
428C23×C4C22×D4311yescharacteristic
429C2×M16—22no—
430C2×M16—22no—
431C2×M16—22no—
432C22×C8—431no—
433C22×C8—431no—
434C22×C8C22×D4311yescharacteristic
435C22×C8C22×D4311yescharacteristic
436C4⋊Q8—862no—
437C4⋊Q8—862no—
438#125—868no—
439C22⋊Q8—22no—
440C22⋊Q8—868no—
441C22⋊Q8—868no—
442C22⋊Q8—862no—
443C22⋊Q8—862no—
444C22⋊Q8D17214yes—
445C4×Q8—862no—
446C4×Q8—862no—
447C4×D4—868no—
448C4×D4—862no—
449C4×D4—862no—
450#117—862no—
451#117—862no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—434no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—862no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—862no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—862no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4C22×D4311yescharacteristic
470C2×C4⋊C4C22×D4311yescharacteristic
471C2×C4⋊C4C22×D4311yescharacteristic
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—431no—
475C2×C22⋊C4—431no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C42—431no—
481C2×C42—861no—
482C2×C42—861no—
483#107—862no—
484#107—862no—
485#107—862no—
486#106—862no—
487#106—862no—
488#106—862no—
489#103—22no—
490#103—22no—
491#103—862no—
492#103—862no—
493C22⋊C8—862no—
494C22⋊C8—862no—
495C22⋊C8—862no—
496#95—21no—
497#95—861no—
498#95—861no—
499#95—861no—
500#95—861no—
501C24—431no—
502C24D4×D4311yescharacteristic
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—864no—
509C2×Q8—3441no—
510C2×Q8—3441no—
511C2×Q8C2×D17212yes—
512C2×D4—862no—
513C2×D4—862no—
514C2×D4—862no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—431no—
524C22×C4—431no—
525C22×C4—431no—
526C22×C4—864no—
527C22×C4—864no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—3441no—
539C22×C4—3441no—
540C22×C4—3441no—
541C22×C4—3441no—
542C22×C4C2×D17212yes—
543C22×C4D4×D4311yescharacteristic
544C22×C4D4×D4312yes—
545C22×C4C23×D4311yescharacteristic
546M16—28no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C2×C8—861no—
557C2×C8#1062190012yes—
558C2×C8#1062190012yes—
559C4⋊C4—24no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—432no—
566C4⋊C4—432no—
567C4⋊C4—864no—
568C4⋊C4—864no—
569C4⋊C4—864no—
570C4⋊C4—864no—
571C4⋊C4—864no—
572C4⋊C4—862no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—3441no—
580C4⋊C4—1722no—
581C4⋊C4C2×D17212yes—
582C22⋊C4—24no—
583C22⋊C4—81no—
584C22⋊C4—864no—
585C22⋊C4—862no—
586C22⋊C4—862no—
587C22⋊C4—3441no—
588C22⋊C4—1722no—
589C22⋊C4—1722no—
590C42—864no—
591C42—861no—
592C42—861no—
593C42—1722no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—432no—
601C23—861no—
602C23—861no—
603C23—861no—
604C23—861no—
605C23—861no—
606C23—861no—
607C23#1306329512yes—
608C23C2×D4×D4311yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—41no—
612Q8—41no—
613Q8—3444no—
614D4—868no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—432no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—3444no—
645C2×C4—3444no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4#1306329512yes—
661C2×C4C2×D4×D4311yescharacteristic
662C2×C4C22×D17211yescharacteristic
663C2×C4C2×#1062190011yescharacteristic
664C2×C4C2×#1062190011yescharacteristic
665C2×C4#1306337211yescharacteristic
666C2×C4#1306337211yescharacteristic
667C8—22no—
668C8—22no—
669C8—1721no—
670C8—1721no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—862no—
679C22—862no—
680C22—862no—
681C22—1721no—
682C22—1721no—
683C22—1721no—
684C22—1721no—
685C22C2×#1306329511yescharacteristic
686C22#1458354911yescharacteristic
687C22#1458354911yescharacteristic
688C22#137×D4311yescharacteristic
689C22#137×D4311yescharacteristic
690C22#1458370311yescharacteristic
691C22#1458370811yescharacteristic
692C4—22no—
693C4—42no—
694C4—42no—
695C4—81no—
696C4—81no—
697C4—862no—
698C4—3441no—
699C4—3441no—
700C4—1721no—
701C4—1721no—
702C4—1722no—
703C4—1722no—
704C4#1458340511yescharacteristic
705C4#1458347111yescharacteristic
706C4#1458355311yescharacteristic
707C4#1458355311yescharacteristic
708C2—42no—
709C2—1722no—
710C2#1913792911yescharacteristic
711C2#1914383111yescharacteristic
712C2#1914390111yescharacteristic
713C2#1914704511yescharacteristic
714C2#1914707511yescharacteristic
715C2#1914720511yescharacteristic
716C2#1914721611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1894C2
socleC23×C43C22×D4
prime radicalC22×C22⋊D43D4
hypercenter#1894D43
hypocenterC43#24109
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1894

Complements

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

NH ≅ G/Ntype
2. C2×#14583237C2semidirect
3. C2×#14582941C2semidirect
5. #19135927C2semidirect
6. #19135922C2semidirect
7. #19135797C2semidirect
8. #19135790C2semidirect
10. #19134865C2semidirect
11. #19134851C2semidirect
12. #19134789C2semidirect
13. #19134784C2semidirect
14. #19134679C2semidirect
15. C43×#1894C2semidirect
358. #1894D43semidirect
421. C43#24109semidirect

Maximal subgroups

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

subgroupindex
C2×#145836072
C2×#145832372
C2×#145829412
#191388932
#191359272
#191359222
#191357972
#191357902
#191348922
#191348652
#191348512
#191347892
#191347842
#191346792
C43×#18942
#2410943