Finite Group Databasebeta

← #25146044

Subgroups — #25146044

Order 11008.

964 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583196C211yesmaximal, characteristic, complemented
2#19139542C211yesmaximal, characteristic
3#19137695C211yesmaximal, characteristic, complemented
4#19135979C211yesmaximal, characteristic, complemented
5#19135965C211yesmaximal, characteristic, complemented
6#19135828C211yesmaximal, characteristic, complemented
7#19135828C211yesmaximal, characteristic, complemented
8#19135523C211yesmaximal, characteristic, complemented
9#19135520C211yesmaximal, characteristic, complemented
10#19135520C211yesmaximal, characteristic, complemented
11#19135318C211yesmaximal, characteristic, complemented
12#19135225C211yesmaximal, characteristic, complemented
13#19135218C211yesmaximal, characteristic, complemented
14#19134421C211yesmaximal, characteristic, complemented
15C2×C43×#490C211yesmaximal, characteristic, complemented
16C2×#13063321C2211yescharacteristic
17C2×#13063321C2211yescharacteristic
18C2×#13063296—21no—
19C2×#13063296—21no—
20C2×C4×D172C2211yescharacteristic
21#14583196—24no—
22C2×#13063258C2211yescharacteristic
23C2×#13063256C2211yescharacteristic
24C2×C4⋊(C43⋊C8)C2211yescharacteristic
25C2×Dic43⋊C8C2211yescharacteristic
26C2×Dic43⋊C8C2211yescharacteristic
27C2×#13063247C2211yescharacteristic
28C2×#13063247C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C2×#13063246C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35#14582807—21no—
36#14582807—21no—
37#14582802C2211yescharacteristic
38#14582802C2211yescharacteristic
39#14582798—21no—
40#14582798C2211yescharacteristic
41#14582798C2211yescharacteristic
42#14582785—21no—
43#14582785—21no—
44C4⋊C4×Dic43—21no—
45C4⋊C4×Dic43C2211yescharacteristic
46C4⋊C4×Dic43C2211yescharacteristic
47C4×C4⋊Dic43C2211yescharacteristic
48C4×C4⋊Dic43C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C2×#127×C43C2211yescharacteristic
54C2×#125×C43C2211yescharacteristic
55C43×#490—24no—
56C2×#102×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×#97×C43C2211yescharacteristic
61C22×D172C2311yescharacteristic
62C22×C22⋊D43—21no—
63C22×C22⋊D43—21no—
64C22×C22⋊D43—21no—
65C22×C22⋊D43—21no—
66C22×C4×D43—21no—
67C22×C43⋊C8C2311yescharacteristic
68C22×C43⋊C8C2311yescharacteristic
69#13063321—22no—
70#13063321—22no—
71#13063321—41no—
72#13063321—41no—
73#13063296—44no—
74#13063296—44no—
75C4×D172—22no—
76C4×D172—22no—
77C2×C4⋊Dic43—21no—
78C2×C4⋊Dic43—21no—
79C2×C4⋊Dic43D411yescharacteristic
80C2×C4⋊Dic43D411yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C22⋊Dic43—21no—
85C2×C22⋊Dic43—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×C4×Dic43—21no—
90C2×C4×Dic43—21no—
91C2×C4×Dic43—21no—
92C2×C4×Dic43C2311yescharacteristic
93C2×C4×Dic43C2311yescharacteristic
94#13063258—22no—
95#13063256—22no—
96C4⋊(C43⋊C8)—22no—
97Dic43⋊C8—41no—
98Dic43⋊C8—41no—
99#13063247—22no—
100#13063247—22no—
101#13063246—22no—
102#13063246—22no—
103#13063246—41no—
104#13063246—41no—
105#13063245—22no—
106#13063245—22no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95D411yescharacteristic
113C43⋊#95D411yescharacteristic
114C22×D4×C43—21no—
115C22×D4×C43—21no—
116C22×D4×C43C2311yescharacteristic
117C22×D4×C43C2311yescharacteristic
118C22×C8×C43C2311yescharacteristic
119C22×C8×C43C2311yescharacteristic
120#127×C43—22no—
121#127×C43—22no—
122#125×C43—22no—
123#125×C43D414yescomplemented
124C2×C4⋊C4×C43—21no—
125C2×C4⋊C4×C43—21no—
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C42×C43C2311yescharacteristic
129#102×C43—22no—
130#102×C43—22no—
131#102×C43—22no—
132#102×C43—22no—
133#97×C43—22no—
134C24×C43—21no—
135C24×C43—21no—
136C23×D43—21no—
137C2×D4×C43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—42no—
150C2×D4×C43—42no—
151C2×D4×C43—42no—
152C2×D4×C43—42no—
153C2×D4×C43—81no—
154C2×D4×C43—81no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2411yescharacteristic
160C2×C22⋊D43—42no—
161C2×C22⋊D43—42no—
162C2×C22⋊D43—42no—
163C2×C22⋊D43—42no—
164C2×C22⋊D43—42no—
165C2×C22⋊D43—42no—
166C2×C22⋊D43—42no—
167C2×C22⋊D43—42no—
168C2×C22⋊D43—81no—
169C2×C22⋊D43—81no—
170C2×C22⋊D43—81no—
171C2×C22⋊D43—81no—
172C22×Dic43—21no—
173C22×Dic43—21no—
174C22×Dic43—21no—
175C22×Dic43C2×D411yescharacteristic
176C22×Dic43C2×D411yescharacteristic
177C22×Dic43C2×D411yescharacteristic
178C22×Dic43C2×D411yescharacteristic
179C2×D172—21no—
180C2×D172—21no—
181C2×D172—21no—
182C2×D172—21no—
183C2×D172—21no—
184C2×D172#4112yes—
185C2×C4×D43—42no—
186C2×C4×D43—42no—
187C2×C4×D43—42no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C4⋊C4×C43—24no—
195C4⋊C4×C43—24no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43C2×D412yes—
199C4⋊C4×C43C2×D412yes—
200C42×C43C2×D412yes—
201C42×C43#4112yes—
202C22⋊Dic43—42no—
203C22⋊Dic43—42no—
204C22⋊Dic43—42no—
205C22⋊Dic43—42no—
206(C2×D43)⋊C4—42no—
207C4⋊Dic43—21no—
208C4⋊Dic43—22no—
209C4⋊Dic43—22no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—42no—
215C4⋊Dic43—81no—
216C4⋊Dic43#4112yes—
217C4×Dic43—21no—
218C4×Dic43—21no—
219C4×Dic43—21no—
220C4×Dic43—21no—
221C4×Dic43—42no—
222C4×Dic43—81no—
223C4×Dic43—81no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43C22×D411yescharacteristic
245C22×D43—22no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252D4×C43—41no—
253D4×C43—41no—
254D4×C43—41no—
255D4×C43—41no—
256D4×C43—41no—
257D4×C43—41no—
258D4×C43—41no—
259D4×C43—41no—
260D4×C43—84no—
261D4×C43—84no—
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—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43#12112yes—
273C2×C4×C43#12112yes—
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43H(5,𝔽2)11yescharacteristic
279C2×C4×C432−1+411yescharacteristic
280C22⋊D43—84no—
281C22⋊D43—84no—
282C22⋊D43—84no—
283C22⋊D43—84no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—22no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43AGL(1,ℤ/8)12yes—
304C2×Dic43AGL(1,ℤ/8)12yes—
305D172—22no—
306D172—22no—
307D172—41no—
308D172—41no—
309C4×D43—84no—
310C8×C43—41no—
311C8×C43—41no—
312C43⋊C8—41no—
313C43⋊C8—41no—
314#25288—431nomaximal, Sylow
315C22×C43—81no—
316C22×C43—81no—
317C22×C43—81no—
318C22×C43—81no—
319C22×C43—81no—
320C22×C43—81no—
321C22×C43—81no—
322C22×C43—81no—
323C22×C43—81no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43—81no—
329C22×C43C2×#12111yescharacteristic
330C22×C43#54611yescharacteristic
331C22×C43#54811yescharacteristic
332C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
333C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
334C22×C43#57611yescharacteristic
335C22×C43#57711yescharacteristic
336C2×D43—42no—
337C2×D43—42no—
338C2×D43—42no—
339C2×D43—81no—
340C2×D43—81no—
341C2×D43—81no—
342C2×D43—81no—
343C4×C43—22no—
344C4×C43—22no—
345C4×C43—42no—
346C4×C43—42no—
347C4×C43#52911yescharacteristic
348C4×C43#54211yescharacteristic
349C4×C43#54811yescharacteristic
350C4×C43#55011yescharacteristic
351Dic43—22no—
352Dic43—22no—
353Dic43—42no—
354Dic43—41no—
355Dic43—41no—
356Dic43—81no—
357Dic43—81no—
358C2×#490D4311yescharacteristic, complemented
359C2×#478—431no—
360#2541—431no—
361#2370—431no—
362#2067—431no—
363#2065—431no—
364#2041—431no—
365#2041—431no—
366#1982—431no—
367#1982—431no—
368#1982—431no—
369#1940—431no—
370#1926—431no—
371#1925—431no—
372#1762—431no—
373C2×C43—161no—
374C2×C43—161no—
375C2×C43#242611yescharacteristic
376C2×C43#303811yescharacteristic
377C2×C43#304511yescharacteristic
378C2×C43#331011yescharacteristic
379C2×C43#331811yescharacteristic
380C2×C43#336611yescharacteristic
381C2×C43#336811yescharacteristic
382D43—82no—
383C2×#127—431no—
384C2×#127—431no—
385C2×#127C2×D4311yescharacteristic
386C2×#125C2×D4311yescharacteristic
387C2×#121—861no—
388C2×#121—861no—
389C2×C4×D4—431no—
390#490—24no—
391#478—864no—
392C2×#107—431no—
393C2×#106—431no—
394C2×C4⋊C8—431no—
395C2×C4⋊C8—431no—
396C2×C4⋊C8—431no—
397C2×#102—431no—
398C2×#102—431no—
399C2×#102—431no—
400C2×#102—431no—
401C2×#102—431no—
402C2×#102—431no—
403C2×#102—431no—
404C2×#102—431no—
405C2×#102C2×D4311yescharacteristic
406C2×#102C2×D4311yescharacteristic
407C2×#102C2×D4311yescharacteristic
408C2×#102C2×D4311yescharacteristic
409C2×#97C2×D4311yescharacteristic
410#392—861no—
411#392—861no—
412#390—431no—
413#390—431no—
414#389—431no—
415#389—431no—
416#389—861no—
417#387—861no—
418#387—861no—
419C4×C4⋊C4—431no—
420C4×C4⋊C4—431no—
421C4×C4⋊C4—431no—
422C4×C4⋊C4—431no—
423C4×C4⋊C4—861no—
424#340—431no—
425#340—431no—
426#336—431no—
427#336—431no—
428C43#2528811yescharacteristic, complemented, Sylow
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—431no—
432C22×D4—861no—
433C22×D4—861no—
434C22×D4—861no—
435C22×D4—861no—
436C22×D4C22×D4311yescharacteristic
437C22×D4C22×D4311yescharacteristic
438C23×C4—861no—
439C22×C8—431no—
440C22×C8—431no—
441C22×C8C22×D4311yescharacteristic
442C22×C8C22×D4311yescharacteristic
443#127—22no—
444#127—22no—
445#127—862no—
446#127—862no—
447#127—1721no—
448#127—1721no—
449#125—22no—
450#125C22⋊D4314yescomplemented
451#121—1724no—
452#121—1724no—
453C4×D4—862no—
454C4×D4—862no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4C22×D4311yescharacteristic
465C2×C4⋊C4C22×D4311yescharacteristic
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—861no—
471C2×C42—431no—
472C2×C42—431no—
473C2×C42—861no—
474C2×C42—861no—
475C2×C42—861no—
476C2×C42C22×D4311yescharacteristic
477#107—862no—
478#106—862no—
479C4⋊C8—862no—
480C4⋊C8—1721no—
481C4⋊C8—1721no—
482#102—22no—
483#102—22no—
484#102—22no—
485#102—22no—
486#102—862no—
487#102—862no—
488#102—862no—
489#102—862no—
490#102—862no—
491#102—862no—
492#102—1721no—
493#102—1721no—
494#97—22no—
495#95—431no—
496#95—431no—
497#95—861no—
498#95—861no—
499#95—861no—
500#95—861no—
501#95—861no—
502C24—21no—
503C24—21no—
504C24—861no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—81no—
522C2×D4—81no—
523C2×D4—432no—
524C2×D4—861no—
525C2×D4—861no—
526C2×D4—861no—
527C2×D4—861no—
528C2×D4—861no—
529C2×D4—3441no—
530C2×D4—3441no—
531C2×D4—3441no—
532C2×D4—3441no—
533C2×D4—1722no—
534C2×D4—1722no—
535C2×D4—1722no—
536C2×D4—1722no—
537C2×D4—1722no—
538C2×D4—1722no—
539C2×D4—1722no—
540C2×D4—1722no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—431no—
544C22×C4—431no—
545C22×C4—431no—
546C22×C4—431no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—1722no—
551C22×C4—1722no—
552C22×C4—1722no—
553C22×C4D4×D4311yescharacteristic
554C22×C4D4×D4311yescharacteristic
555C22×C4C23×D4311yescharacteristic
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—861no—
563C2×C8—861no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C4⋊C4—24no—
569C4⋊C4—24no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—432no—
573C4⋊C4—862no—
574C4⋊C4—862no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—861no—
580C4⋊C4—3441no—
581C4⋊C4—1722no—
582C4⋊C4C2×C22⋊D4312yes—
583C4⋊C4C2×C22⋊D4312yes—
584C22⋊C4—1722no—
585C22⋊C4—1722no—
586C22⋊C4—1722no—
587C22⋊C4—1722no—
588C22⋊C4—1722no—
589C42—861no—
590C42—861no—
591C42—861no—
592C42—861no—
593C42—3441no—
594C42—3441no—
595C42—1722no—
596C42#1062190012yes—
597C42C2×C22⋊D4312yes—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—862no—
613C23—1721no—
614C23—1721no—
615C23—1721no—
616C23—1721no—
617C23—1721no—
618C23—1721no—
619C23C2×D4×D4311yescharacteristic
620D4—41no—
621D4—41no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—41no—
626D4—41no—
627D4—41no—
628D4—84no—
629D4—84no—
630D4—862no—
631D4—862no—
632D4—3444no—
633D4—3444no—
634D4—3444no—
635D4—3444no—
636D4—1721no—
637D4—1721no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—432no—
649C2×C4—432no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—861no—
654C2×C4—862no—
655C2×C4—861no—
656C2×C4—861no—
657C2×C4—861no—
658C2×C4—861no—
659C2×C4—861no—
660C2×C4—861no—
661C2×C4—3444no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4#1306329712yes—
671C2×C4#1306329712yes—
672C2×C4C22×C22⋊D4311yescharacteristic
673C2×C4#41×D4311yescharacteristic
674C2×C4#41×D4311yescharacteristic
675C2×C4C2×#1062190011yescharacteristic
676C2×C4#1306337111yescharacteristic
677C2×C4#1306337211yescharacteristic
678C8—41no—
679C8—41no—
680C8—1721no—
681C8—1721no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—3441no—
697C22—3441no—
698C22—3441no—
699C22—3441no—
700C22—1722no—
701C22—1722no—
702C22—1722no—
703C22C2×#1306329711yescharacteristic
704C22#1458354211yescharacteristic
705C22#1458355711yescharacteristic
706C22AGL(1,ℤ/8)×D4311yescharacteristic
707C22AGL(1,ℤ/8)×D4311yescharacteristic
708C22#1458370311yescharacteristic
709C22#1458370911yescharacteristic
710C4—22no—
711C4—22no—
712C4—42no—
713C4—42no—
714C4—862no—
715C4—862no—
716C4—3441no—
717C4—3441no—
718C4—1722no—
719C4—1721no—
720C4—1721no—
721C4#1458342811yescharacteristic
722C4#1458351811yescharacteristic
723C4#1458355611yescharacteristic
724C4#1458356811yescharacteristic
725C2—161no—
726C2—161no—
727C2—3442no—
728C2#1913816411yescharacteristic
729C2#1914407311yescharacteristic
730C2#1914413811yescharacteristic
731C2#1914661511yescharacteristic
732C2#1914673511yescharacteristic
733C2#1914729911yescharacteristic
734C2#1914732111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#490C2
socleC23×C43C22×D4
prime radical#19139542C2
hypercenterC2×#490D43
hypocenterC43#25288
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#490

Complements

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

NH ≅ G/Ntype
1. C2×#14583196C2semidirect
3. #19137695C2semidirect
4. #19135979C2semidirect
5. #19135965C2semidirect
6. #19135828C2semidirect
7. #19135828C2semidirect
8. #19135523C2semidirect
9. #19135520C2semidirect
10. #19135520C2semidirect
11. #19135318C2semidirect
12. #19135225C2semidirect
13. #19135218C2semidirect
14. #19134421C2semidirect
15. C2×C43×#490C2semidirect
123. #125×C43D4semidirect
358. C2×#490D43semidirect
428. C43#25288semidirect
450. #125C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145831962
#191395422
#191376952
#191359792
#191359652
#191358282
#191355232
#191355202
#191353182
#191352252
#191352182
#191344212
C2×C43×#4902
#2528843