Finite Group Databasebeta

← #25062740

Subgroups — #25062740

Order 11008.

1048 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583482C211yesmaximal, characteristic
2#19143634C211yesmaximal, characteristic, complemented
3#19143622C211yesmaximal, characteristic, complemented
4#19132963C212yesmaximal, complemented
5#19132953C212yesmaximal, complemented
6#19132945C212yesmaximal, complemented
7#19132942C212yesmaximal, complemented
8#19132933C211yesmaximal, characteristic, complemented
9#19132921C211yesmaximal, characteristic, complemented
10#19132921C211yesmaximal, characteristic, complemented
11C43×#1465C211yesmaximal, characteristic, complemented
12#14583482—22no—
13#14583482—22no—
14#14583482—22no—
15#14583482—22no—
16C2×#13063320C2211yescharacteristic
17C2×#13063319C411yescharacteristic
18C2×#13063313C411yescharacteristic
19C2×#13063311C2211yescharacteristic
20C2×#13063310C2211yescharacteristic
21C2×#13063308C411yescharacteristic
22C2×#13063302C411yescharacteristic
23C2×#13063299C411yescharacteristic
24C2×#13063298C2211yescharacteristic
25C2×#13063297C411yescharacteristic
26C2×#13063295C411yescharacteristic
27C2×#13063293C411yescharacteristic
28C2×C4×C22⋊D43C2211yescharacteristic
29C22×(C2×D43)⋊C4C2211yescharacteristic
30#14582975—22no—
31#14582974—22no—
32#14582973—22no—
33#14582968—22no—
34#14582953C2212yescomplemented
35#14582949C2212yescomplemented
36#14582863C2211yescharacteristic
37#14582863C2211yescharacteristic
38#14582861C2212yescomplemented
39C22⋊C8×D43C2212yescomplemented
40#14582625C2212yescomplemented
41#14582623C2212yescomplemented
42#14582622C2212yes—
43#14582622C2212yes—
44#14582622C2212yes—
45#14582622C2212yes—
46C2×C4×D4×C43C2211yescharacteristic
47C43×#407C2211yescharacteristic
48C43×#407C2211yescharacteristic
49C43×#324C2212yescomplemented
50C43×#323C2212yescomplemented
51C24×D43C2×C411yescharacteristic
52C22×Dic86C2×C411yescharacteristic
53C22×D172C2×C411yescharacteristic
54C22×D172C2×C411yescharacteristic
55C22×C22⋊D43C2×C411yescharacteristic
56C22×C22⋊D43C2×C411yescharacteristic
57C22×C22⋊D43C2×C411yescharacteristic
58C22×C22⋊D43C2×C411yescharacteristic
59C23×Dic43C2×C411yescharacteristic
60C22×C4×D43C2311yescharacteristic
61C2×#10621877—21no—
62C2×#10621877—21no—
63C2×#10621872—22no—
64C2×C8×D43—22no—
65#13063320—22no—
66#13063320—22no—
67#13063319—22no—
68#13063319—22no—
69#13063313—22no—
70#13063313—22no—
71#13063311—22no—
72#13063311—22no—
73#13063310—22no—
74#13063310—22no—
75#13063308—22no—
76#13063308—22no—
77#13063302—22no—
78#13063302—22no—
79#13063299—22no—
80#13063299—22no—
81#13063298—22no—
82#13063298—22no—
83#13063297—22no—
84#13063297—22no—
85#13063295—22no—
86#13063295—22no—
87#13063293—22no—
88#13063293—22no—
89C4×C22⋊D43D412yes—
90C4×C22⋊D43D412yes—
91C4×C22⋊D43D412yes—
92C4×C22⋊D43D412yes—
93C2×C4⋊Dic43C2×C411yescharacteristic
94C2×Dic43⋊C4C2×C411yescharacteristic
95C2×Dic43⋊C4C2×C411yescharacteristic
96C2×Dic43⋊C4C2×C411yescharacteristic
97C2×Dic43⋊C4C2×C411yescharacteristic
98C2×C22⋊Dic43C2×C411yescharacteristic
99C2×C22⋊Dic43C2×C411yescharacteristic
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×(C2×D43)⋊C4C2×C411yescharacteristic
105C2×(C2×D43)⋊C4C2×C411yescharacteristic
106C2×(C2×D43)⋊C4C2×C411yescharacteristic
107C2×(C2×D43)⋊C4C2×C411yescharacteristic
108C2×(C2×D43)⋊C4C2×C411yescharacteristic
109C2×(C2×D43)⋊C4C2×C411yescharacteristic
110C2×(C2×D43)⋊C4C2×C411yescharacteristic
111C2×(C2×D43)⋊C4C2×C411yescharacteristic
112C2×(C2×D43)⋊C4C2311yescharacteristic
113C2×(C2×D43)⋊C4C2311yescharacteristic
114C2×C4×Dic43C2311yescharacteristic
115Dic43⋊C8—22no—
116Dic43⋊C8—22no—
117C22⋊(C43⋊C8)—21no—
118C22⋊(C43⋊C8)—21no—
119C22⋊(C43⋊C8)C2312yes—
120C22⋊(C43⋊C8)C2312yes—
121(C2×D43)⋊C8—22no—
122(C2×D43)⋊C8—22no—
123#13063235—22no—
124C8×Dic43—22no—
125C22×D4×C43C2×C411yescharacteristic
126C23×C4×C43C2×C411yescharacteristic
127C23×C4×C43C2311yescharacteristic
128C2×M16×C43—21no—
129C2×M16×C43—21no—
130C4×D4×C43—21no—
131C4×D4×C43—21no—
132C4×D4×C43—21no—
133C4×D4×C43—21no—
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C22⋊C4×C43C2×C411yescharacteristic
136C2×C22⋊C4×C43C2311yescharacteristic
137C2×C42×C43C2×C411yescharacteristic
138C22⋊C8×C43—21no—
139C22⋊C8×C43—21no—
140C22⋊C8×C43C2312yes—
141C22⋊C8×C43C2312yes—
142C24×C43C22×C411yescharacteristic
143C24×C43C22×C411yescharacteristic
144C23×D43—21no—
145C23×D43—21no—
146C23×D43—42no—
147C23×D43—81no—
148C23×D43—81no—
149C23×D43C22×C411yescharacteristic
150C23×D43C22×C411yescharacteristic
151C23×D43C22×C411yescharacteristic
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—42no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—81no—
158C22×C4×C43—81no—
159C22×C4×C43C22×C411yescharacteristic
160C22×C4×C43C22×C411yescharacteristic
161C22×C4×C43C22×C411yescharacteristic
162C22×C4×C43C22×C411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2×D411yescharacteristic
166C22×C4×C43C2×D411yescharacteristic
167C22×C4×C43C2411yescharacteristic
168C2×C22⋊D43—22no—
169C2×C22⋊D43—22no—
170C2×C22⋊D43—22no—
171C2×C22⋊D43—42no—
172C2×C22⋊D43—81no—
173C2×C22⋊D43—81no—
174C2×C22⋊D43—81no—
175C2×C22⋊D43C22⋊C412yes—
176C2×C22⋊D43C22⋊C412yes—
177C22×Dic43—21no—
178C22×Dic43—21no—
179C22×Dic43—81no—
180C22×Dic43C22×C411yescharacteristic
181C22×Dic43C22×C411yescharacteristic
182C22×Dic43C22×C411yescharacteristic
183C22×Dic43C22×C411yescharacteristic
184C22×Dic43C22×C411yescharacteristic
185C2×D172—22no—
186C2×D172—22no—
187C2×D172—81no—
188C2×D172—81no—
189C2×C4×D43—81no—
190C2×C4×D43C2×D412yes—
191C2×C4×D43C2×D412yes—
192C2×Dic86—22no—
193C2×Dic86—81no—
194M16×C43—81no—
195M16×C43—81no—
196C2×C8×C43—22no—
197C2×C8×C43—22no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C22⋊C4×C43—21no—
201C22⋊C4×C43—21no—
202C22⋊C4×C43—21no—
203C22⋊C4×C43—21no—
204C42×C43—21no—
205C42×C43—21no—
206C22⋊Dic43—22no—
207C22⋊Dic43C22⋊C412yes—
208C22⋊Dic43C22⋊C412yes—
209(C2×D43)⋊C4—21no—
210(C2×D43)⋊C4—21no—
211(C2×D43)⋊C4—21no—
212(C2×D43)⋊C4—21no—
213(C2×D43)⋊C4—21no—
214(C2×D43)⋊C4—21no—
215(C2×D43)⋊C4—21no—
216(C2×D43)⋊C4—21no—
217(C2×D43)⋊C4—22no—
218(C2×D43)⋊C4—22no—
219(C2×D43)⋊C4—22no—
220(C2×D43)⋊C4—22no—
221(C2×D43)⋊C4—22no—
222(C2×D43)⋊C4C22⋊C412yes—
223(C2×D43)⋊C4C22⋊C412yes—
224C4⋊Dic43—22no—
225Dic43⋊C4—22no—
226Dic43⋊C4—22no—
227Dic43⋊C4—22no—
228Dic43⋊C4C22⋊C412yes—
229Dic43⋊C4C22⋊C412yes—
230C4×Dic43C2×D412yes—
231C4×Dic43C2×D412yes—
232#10621877—81no—
233#10621877—81no—
234C2×C43⋊C8—22no—
235C2×C43⋊C8—22no—
236#10621872—82no—
237C8×D43—82no—
238C23×C43—22no—
239C23×C43—21no—
240C23×C43—22no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43C2×C22⋊C411yescharacteristic
246C23×C43C2×C22⋊C411yescharacteristic
247C23×C43C23×C411yescharacteristic
248C22×D43—22no—
249C22×D43—21no—
250C22×D43—21no—
251C22×D43—22no—
252C22×D43—22no—
253C22×D43—41no—
254C22×D43—41no—
255C22×D43—42no—
256C22×D43—42no—
257C22×D43—41no—
258C22×D43—41no—
259C22×D43—41no—
260C22×D43—41no—
261C22×D43—81no—
262C22×D43—81no—
263C22×D43—81no—
264C22×D43—81no—
265C22×D43—88no—
266C22×D43C2×C22⋊C412yes—
267D4×C43—42no—
268D4×C43—42no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—22no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
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—81no—
282C2×C4×C43—81no—
283C2×C4×C43C2×C22⋊C411yescharacteristic
284C2×C4×C43C2×C22⋊C411yescharacteristic
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C43C22×D411yescharacteristic
287C22⋊D43—42no—
288C22⋊D43—42no—
289C22⋊D43—82no—
290C22⋊D43—82no—
291C22⋊D43—82no—
292C2×Dic43—22no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—81no—
300C2×Dic43—81no—
301C2×Dic43C2×C22⋊C412yes—
302C2×Dic43C2×C22⋊C412yes—
303C2×Dic43C2×C22⋊C412yes—
304D172—82no—
305D172—82no—
306C4×D43—42no—
307C4×D43—42no—
308Dic86—82no—
309C8×C43—42no—
310C8×C43—42no—
311C43⋊C8—42no—
312C43⋊C8—42no—
313#17405—431nomaximal, Sylow
314C22×C43—21no—
315C22×C43—21no—
316C22×C43—21no—
317C22×C43—21no—
318C22×C43—21no—
319C22×C43—21no—
320C22×C43—21no—
321C22×C43—21no—
322C22×C43—44no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43—41no—
326C22×C43—82no—
327C22×C43C22×C22⋊C411yescharacteristic
328C22×C43#56812yes—
329C2×D43—22no—
330C2×D43—22no—
331C2×D43—22no—
332C2×D43—41no—
333C2×D43—41no—
334C2×D43—41no—
335C2×D43—41no—
336C2×D43—41no—
337C2×D43—41no—
338C2×D43—82no—
339C2×D43—84no—
340C2×D43—84no—
341C2×D43—82no—
342C2×D43—82no—
343C4×C43—21no—
344C4×C43—21no—
345C4×C43—21no—
346C4×C43—21no—
347C4×C43—41no—
348C4×C43—41no—
349C4×C43—41no—
350Dic43—22no—
351Dic43—22no—
352Dic43—22no—
353Dic43—41no—
354Dic43—41no—
355C2×#538—431no—
356#2975—431no—
357#2973—431no—
358#1473—432no—
359#1471—432no—
360#1469—432no—
361#1468—432no—
362#1465—431no—
363#1465D4311yescharacteristic, complemented
364#1462—431no—
365#1462—431no—
366C2×C43—22no—
367C2×C43—41no—
368C2×C43—41no—
369C2×C43—81no—
370C2×C43#287911yescharacteristic
371C2×C43#288311yescharacteristic
372C2×C43#288811yescharacteristic
373D43—42no—
374D43—81no—
375D43—81no—
376#538—862no—
377#538—862no—
378#538—862no—
379#538—862no—
380C2×#126—431no—
381C2×#126—431no—
382C2×#124—431no—
383C2×#124—431no—
384C2×#123—431no—
385C2×#123—431no—
386C2×C22⋊Q8—431no—
387C2×#121—431no—
388C2×#121—431no—
389C2×#121—431no—
390C2×#120—431no—
391C2×#120—431no—
392C2×C4×D4—431no—
393C2×C4×D4C2×D4311yescharacteristic
394C22×C22⋊C4—431no—
395#436—862no—
396#436—862no—
397#435—862no—
398#435—862no—
399#432—432no—
400#431—432no—
401#407—431no—
402#407—431no—
403#407—432no—
404#407C2×D4311yescharacteristic
405#407C2×D4311yescharacteristic
406C2×C22⋊C8—432no—
407#324—432no—
408#324C2×D4312yescomplemented
409#323—432no—
410#323—432no—
411#323—432no—
412#323—432no—
413#323—432no—
414#323C2×D4312yescomplemented
415C43#1740511yescharacteristic, complemented, Sylow
416C25—431no—
417C22×Q8—431no—
418C22×D4—431no—
419C22×D4—431no—
420C22×D4—431no—
421C22×D4—431no—
422C22×D4—431no—
423C22×D4—431no—
424C22×D4C4×D4311yescharacteristic
425C23×C4—431no—
426C23×C4—431no—
427C23×C4C4×D4311yescharacteristic
428C23×C4C22×D4311yescharacteristic
429C2×M16—21no—
430C2×M16—21no—
431C2×M16—862no—
432C2×M16—861no—
433C2×M16—861no—
434C22×C8—862no—
435#126—862no—
436#126—862no—
437#126—862no—
438#126—862no—
439#124—862no—
440#124—862no—
441#124—862no—
442#124—862no—
443#123—862no—
444#123—862no—
445#123—862no—
446#123—862no—
447C22⋊Q8—862no—
448C22⋊Q8—862no—
449#121—862no—
450#121—862no—
451#121—862no—
452#121—862no—
453#121—862no—
454#121—862no—
455#120—862no—
456#120—862no—
457#120—862no—
458#120—862no—
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—432no—
464C4×D4—432no—
465C4×D4—432no—
466C4×D4—432no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4C22×D4311yescharacteristic
473C2×C22⋊C4—431no—
474C2×C22⋊C4—431no—
475C2×C22⋊C4—431no—
476C2×C22⋊C4—431no—
477C2×C22⋊C4—431no—
478C2×C22⋊C4—431no—
479C2×C22⋊C4—431no—
480C2×C22⋊C4—431no—
481C2×C22⋊C4—431no—
482C2×C22⋊C4—431no—
483C2×C22⋊C4—431no—
484C2×C22⋊C4—431no—
485C2×C22⋊C4—861no—
486C2×C22⋊C4—861no—
487C2×C22⋊C4—861no—
488C2×C22⋊C4—861no—
489C2×C22⋊C4C4×D4311yescharacteristic
490C2×C22⋊C4C22×D4311yescharacteristic
491C2×C42—431no—
492C2×C42C4×D4311yescharacteristic
493C4⋊C8—862no—
494C4⋊C8—862no—
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8—432no—
498C22⋊C8—432no—
499C22⋊C8—862no—
500C22⋊C8—862no—
501C22⋊C8—861no—
502C22⋊C8—861no—
503C22⋊C8C22×D4312yes—
504C22⋊C8C22×D4312yes—
505#97—862no—
506C4×C8—862no—
507C24—431no—
508C24—431no—
509C24—431no—
510C24—861no—
511C24—861no—
512C24—3441no—
513C24—3441no—
514C24—1722no—
515C24C2×C4×D4311yescharacteristic
516C24C2×C4×D4311yescharacteristic
517C2×Q8—862no—
518C2×Q8—3441no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—42no—
522C2×D4—432no—
523C2×D4—432no—
524C2×D4—862no—
525C2×D4—862no—
526C2×D4—862no—
527C2×D4—862no—
528C2×D4—862no—
529C2×D4—3441no—
530C2×D4—3441no—
531C2×D4—3441no—
532C2×D4—3441no—
533C2×D4—3441no—
534C2×D4—1722no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—81no—
538C22×C4—81no—
539C22×C4—431no—
540C22×C4—431no—
541C22×C4—431no—
542C22×C4—432no—
543C22×C4—432no—
544C22×C4—431no—
545C22×C4—431no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—3441no—
549C22×C4—3441no—
550C22×C4C2×C4×D4311yescharacteristic
551C22×C4C2×C4×D4311yescharacteristic
552C22×C4C2×C4×D4311yescharacteristic
553C22×C4C2×C4×D4311yescharacteristic
554C22×C4D4×D4311yescharacteristic
555C22×C4D4×D4311yescharacteristic
556C22×C4D4×D4311yescharacteristic
557C22×C4D4×D4311yescharacteristic
558C22×C4C23×D4311yescharacteristic
559M16—81no—
560M16—81no—
561M16—3442no—
562M16—3441no—
563M16—3441no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—862no—
567C2×C8—862no—
568C2×C8—3442no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—432no—
572C4⋊C4—432no—
573C4⋊C4—862no—
574C4⋊C4—862no—
575C4⋊C4—862no—
576C4⋊C4—862no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—432no—
582C22⋊C4—432no—
583C22⋊C4—432no—
584C22⋊C4—432no—
585C22⋊C4—862no—
586C22⋊C4—862no—
587C22⋊C4—862no—
588C22⋊C4—862no—
589C22⋊C4—862no—
590C22⋊C4—862no—
591C22⋊C4—861no—
592C22⋊C4—861no—
593C22⋊C4—861no—
594C22⋊C4—861no—
595C22⋊C4—861no—
596C22⋊C4—861no—
597C22⋊C4—861no—
598C22⋊C4—861no—
599C42—21no—
600C42—21no—
601C42—432no—
602C42—432no—
603C23—22no—
604C23—21no—
605C23—22no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—432no—
611C23—862no—
612C23—862no—
613C23—862no—
614C23—861no—
615C23—861no—
616C23—3441no—
617C23—3441no—
618C23—3441no—
619C23—3441no—
620C23—3448no—
621C23—1721no—
622C23—1721no—
623C23—1721no—
624C23—1721no—
625C23—1721no—
626C23—1721no—
627C23—1722no—
628C23—1722no—
629C23C22⋊C4×D4311yescharacteristic
630C23C22⋊C4×D4311yescharacteristic
631C23C22×C4×D4311yescharacteristic
632Q8—3442no—
633D4—42no—
634D4—42no—
635D4—3442no—
636D4—3442no—
637D4—3442no—
638D4—3442no—
639D4—3442no—
640D4—1722no—
641D4—1722no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—81no—
655C2×C4—81no—
656C2×C4—432no—
657C2×C4—432no—
658C2×C4—432no—
659C2×C4—862no—
660C2×C4—861no—
661C2×C4—861no—
662C2×C4—3441no—
663C2×C4—3441no—
664C2×C4—1722no—
665C2×C4—1722no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4C22⋊C4×D4311yescharacteristic
671C2×C4C22⋊C4×D4311yescharacteristic
672C2×C4C2×D4×D4311yescharacteristic
673C2×C4C2×D4×D4311yescharacteristic
674C8—42no—
675C8—42no—
676C8—1722no—
677C8—1722no—
678C22—21no—
679C22—21no—
680C22—21no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—44no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—82no—
691C22—862no—
692C22—862no—
693C22—862no—
694C22—3442no—
695C22—3442no—
696C22—3442no—
697C22—3444no—
698C22—3444no—
699C22—1721no—
700C22—1721no—
701C22—1721no—
702C22—1721no—
703C22—1721no—
704C22—1721no—
705C22C2×C22⋊C4×D4311yescharacteristic
706C22#1458366512yes—
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—41no—
712C4—41no—
713C4—41no—
714C4—862no—
715C4—862no—
716C4—862no—
717C4—1721no—
718C4—1721no—
719C2—22no—
720C2—41no—
721C2—41no—
722C2—81no—
723C2—3441no—
724C2—3441no—
725C2—1722no—
726C2#1914303811yescharacteristic
727C2#1914305311yescharacteristic
728C2#1914307211yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC23×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1465C2
socleC22×C43C22×C22⋊C4
prime radicalC2×#14583482C2
cosocleC22×C4×C43C24
hypercenter#1465D43
hypocenterC43#17405
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1465

Complements

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

NH ≅ G/Ntype
2. #19143634C2semidirect
3. #19143622C2semidirect
4. #19132963C2semidirect
5. #19132953C2semidirect
6. #19132945C2semidirect
7. #19132942C2semidirect
8. #19132933C2semidirect
9. #19132921C2semidirect
10. #19132921C2semidirect
11. C43×#1465C2semidirect
34. #14582953C22semidirect
35. #14582949C22semidirect
38. #14582861C22semidirect
39. C22⋊C8×D43C22semidirect
40. #14582625C22semidirect
41. #14582623C22semidirect
49. C43×#324C22semidirect
50. C43×#323C22semidirect
363. #1465D43semidirect
408. #324C2×D43semidirect
414. #323C2×D43semidirect
415. C43#17405semidirect

Maximal subgroups

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

subgroupindex
C2×#145834822
#191436342
#191436222
#191329632
#191329532
#191329452
#191329422
#191329332
#191329212
C43×#14652
#1740543