Finite Group Databasebeta

← #25115738

Subgroups — #25115738

Order 11008.

838 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582924C211yesmaximal, characteristic, complemented
2#19137054C211yesmaximal, characteristic
3#19135211C211yesmaximal, characteristic, complemented
4#19135211C211yesmaximal, characteristic, complemented
5#19135159C211yesmaximal, characteristic, complemented
6#19135152C211yesmaximal, characteristic, complemented
7#19134889C211yesmaximal, characteristic
8#19134884C211yesmaximal, characteristic
9#19134711C211yesmaximal, characteristic, complemented
10#19134579C211yesmaximal, characteristic, complemented
11#19134576C211yesmaximal, characteristic, complemented
12#19134450C211yesmaximal, characteristic, complemented
13#19134378C211yesmaximal, characteristic, complemented
14#19134372C211yesmaximal, characteristic, complemented
15C2×C43×#433C211yesmaximal, characteristic, complemented
16C22×#10621872C2211yescharacteristic
17C22×C8×D43C2211yescharacteristic
18C2×C4×C22⋊D43C2211yescharacteristic
19C2×#13063282C2211yescharacteristic
20#14582924—24no—
21C2×C4⋊(C43⋊C8)C2211yescharacteristic
22C2×C4⋊(C43⋊C8)C2211yescharacteristic
23C2×Dic43⋊C8C2211yescharacteristic
24C2×Dic43⋊C8C2211yescharacteristic
25C2×C22⋊(C43⋊C8)C2211yescharacteristic
26C2×C22⋊(C43⋊C8)C2211yescharacteristic
27C2×(C2×D43)⋊C8C2211yescharacteristic
28C2×(C2×D43)⋊C8C2211yescharacteristic
29C2×#13063235C2211yescharacteristic
30C2×#13063235C2211yescharacteristic
31#14582799C411yescharacteristic
32#14582799C411yescharacteristic
33#14582794C411yescharacteristic
34#14582794C411yescharacteristic
35#14582793C411yescharacteristic
36#14582793C411yescharacteristic
37#14582789C411yescharacteristic
38#14582789C411yescharacteristic
39C4×Dic43⋊C4C2211yescharacteristic
40C4×(C2×D43)⋊C4C2211yescharacteristic
41C4×C22⋊Dic43C2211yescharacteristic
42C42×Dic43C2211yescharacteristic
43#14582654C2211yescharacteristic
44#14582654C2211yescharacteristic
45#14582653C2211yescharacteristic
46#14582653C2211yescharacteristic
47#14582653C2211yescharacteristic
48#14582653C2211yescharacteristic
49#14582653C2211yescharacteristic
50#14582653C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C2×#117×C43C2211yescharacteristic
54C43×#433—24no—
55C2×C4⋊C8×C43C2211yescharacteristic
56C2×C4⋊C8×C43C2211yescharacteristic
57C2×C22⋊C8×C43C2211yescharacteristic
58C2×C22⋊C8×C43C2211yescharacteristic
59C2×#97×C43C2211yescharacteristic
60C2×C4×C8×C43C2211yescharacteristic
61C22×C22⋊D43C2×C411yescharacteristic
62C22×C4×D43C2311yescharacteristic
63C2×#10621872—22no—
64C2×#10621872—22no—
65C2×#10621872—41no—
66C22×C43⋊C8C2311yescharacteristic
67C22×C43⋊C8C2311yescharacteristic
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C2×C8×D43—22no—
71C2×C8×D43—22no—
72C2×C8×D43—41no—
73C4×C22⋊D43—22no—
74C4×C22⋊D43—22no—
75#13063282—22no—
76#13063282—22no—
77C2×Dic43⋊C4C2×C411yescharacteristic
78C2×Dic43⋊C4C2×C411yescharacteristic
79C2×Dic43⋊C4C2×C411yescharacteristic
80C2×Dic43⋊C4C2×C411yescharacteristic
81C2×Dic43⋊C4C2×C411yescharacteristic
82C2×C22⋊Dic43C2×C411yescharacteristic
83C2×C22⋊Dic43C2×C411yescharacteristic
84C2×C22⋊Dic43C2×C411yescharacteristic
85C2×(C2×D43)⋊C4C2×C411yescharacteristic
86C2×(C2×D43)⋊C4C2×C411yescharacteristic
87C2×(C2×D43)⋊C4C2×C411yescharacteristic
88C2×(C2×D43)⋊C4C2×C411yescharacteristic
89C2×(C2×D43)⋊C4C2×C411yescharacteristic
90C2×C4×Dic43C2×C411yescharacteristic
91C2×C4×Dic43C2×C411yescharacteristic
92C2×C4×Dic43C2×C411yescharacteristic
93C2×C4×Dic43C2×C411yescharacteristic
94C2×C4×Dic43C2311yescharacteristic
95C2×C4×Dic43C2311yescharacteristic
96C2×C4×Dic43C2311yescharacteristic
97C4⋊(C43⋊C8)—22no—
98C4⋊(C43⋊C8)—22no—
99Dic43⋊C8—22no—
100Dic43⋊C8—22no—
101C22⋊(C43⋊C8)—41no—
102C22⋊(C43⋊C8)—41no—
103(C2×D43)⋊C8—22no—
104(C2×D43)⋊C8—22no—
105#13063235—41no—
106#13063235—41no—
107C43⋊#95C2×C411yescharacteristic
108C43⋊#95C2×C411yescharacteristic
109C43⋊#95C2×C411yescharacteristic
110C43⋊#95C2×C411yescharacteristic
111C43⋊#95C2×C411yescharacteristic
112C43⋊#95C2×C411yescharacteristic
113C23×C4×C43C2311yescharacteristic
114C22×C8×C43C2311yescharacteristic
115C22×C8×C43C2311yescharacteristic
116C22×C8×C43C2311yescharacteristic
117C22×C8×C43C2311yescharacteristic
118#117×C43—22no—
119#117×C43—22no—
120C2×C4⋊C4×C43C2×C411yescharacteristic
121C2×C4⋊C4×C43C2×C411yescharacteristic
122C2×C22⋊C4×C43C2×C411yescharacteristic
123C2×C22⋊C4×C43C2×C411yescharacteristic
124C2×C42×C43C2311yescharacteristic
125C2×C42×C43C2311yescharacteristic
126C4⋊C8×C43—22no—
127C4⋊C8×C43D414yescomplemented
128C22⋊C8×C43—22no—
129C22⋊C8×C43—22no—
130#97×C43—22no—
131C4×C8×C43—22no—
132C24×C43C22×C411yescharacteristic
133C23×D43C22×C411yescharacteristic
134C22×C4×C43—21no—
135C22×C4×C43—21no—
136C22×C4×C43—21no—
137C22×C4×C43—21no—
138C22×C4×C43—21no—
139C22×C4×C43—21no—
140C22×C4×C43C22×C411yescharacteristic
141C22×C4×C43C22×C411yescharacteristic
142C22×C4×C43C22×C411yescharacteristic
143C22×C4×C43C22×C411yescharacteristic
144C22×C4×C43C22×C411yescharacteristic
145C22×C4×C43C2411yescharacteristic
146C2×C22⋊D43—22no—
147C2×C22⋊D43—22no—
148C2×C22⋊D43—41no—
149C22×Dic43C22×C411yescharacteristic
150C22×Dic43C22×C411yescharacteristic
151C22×Dic43C22×C411yescharacteristic
152C22×Dic43C22×C411yescharacteristic
153C22×Dic43C22×C411yescharacteristic
154C22×Dic43C22×C411yescharacteristic
155C22×Dic43C22×C411yescharacteristic
156C2×C4×D43—21no—
157C2×C4×D43—21no—
158C2×C4×D43—21no—
159C2×C4×D43—21no—
160C2×C4×D43#4112yes—
161C2×C4×D43#4112yes—
162C2×C8×C43—21no—
163C2×C8×C43—21no—
164C2×C8×C43—21no—
165C2×C8×C43—21no—
166C2×C8×C43—21no—
167C2×C8×C43—21no—
168C2×C8×C43—21no—
169C2×C8×C43—21no—
170C2×C8×C43—21no—
171C2×C8×C43—21no—
172C2×C8×C43C2×D412yes—
173C2×C8×C43C2×D412yes—
174C4⋊C4×C43—22no—
175C4⋊C4×C43—22no—
176C22⋊C4×C43—22no—
177C22⋊C4×C43—22no—
178C42×C43—21no—
179C42×C43—21no—
180C42×C43C2×D412yes—
181C42×C43#4112yes—
182C22⋊Dic43—22no—
183C22⋊Dic43—41no—
184C22⋊Dic43—41no—
185(C2×D43)⋊C4—22no—
186(C2×D43)⋊C4—22no—
187(C2×D43)⋊C4—22no—
188(C2×D43)⋊C4—41no—
189(C2×D43)⋊C4—41no—
190Dic43⋊C4—22no—
191Dic43⋊C4—22no—
192Dic43⋊C4—22no—
193Dic43⋊C4—22no—
194Dic43⋊C4—41no—
195C4×Dic43—21no—
196C4×Dic43—21no—
197C4×Dic43—21no—
198C4×Dic43—21no—
199C4×Dic43—21no—
200C4×Dic43—21no—
201C4×Dic43—22no—
202C4×Dic43—41no—
203C4×Dic43—41no—
204C4×Dic43—41no—
205C2×C43⋊C8—21no—
206C2×C43⋊C8—21no—
207C2×C43⋊C8—21no—
208C2×C43⋊C8—21no—
209C2×C43⋊C8—21no—
210C2×C43⋊C8—21no—
211C2×C43⋊C8—21no—
212C2×C43⋊C8—21no—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8—21no—
217#10621872—44no—
218C8×D43—44no—
219C23×C43—21no—
220C23×C43—21no—
221C23×C43—21no—
222C23×C43—21no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43C23×C411yescharacteristic
227C22×D43—21no—
228C22×D43—21no—
229C22×D43—21no—
230C22×D43—21no—
231C22×D43—21no—
232C22×D43—21no—
233C22×D43#11712yes—
234C2×C4×C43—21no—
235C2×C4×C43—21no—
236C2×C4×C43—21no—
237C2×C4×C43—21no—
238C2×C4×C43—21no—
239C2×C4×C43—21no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—41no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43C4×D412yes—
252C2×C4×C43C4×D412yes—
253C2×C4×C43C22×D411yescharacteristic
254C2×C4×C43C2×#4111yescharacteristic
255C2×C4×C43C2×#4111yescharacteristic
256C2×C4×C43C2×#4111yescharacteristic
257C2×C4×C43H(5,𝔽2)11yescharacteristic
258C2×C4×C432−1+411yescharacteristic
259C22⋊D43—44no—
260C2×Dic43—21no—
261C2×Dic43—21no—
262C2×Dic43—21no—
263C2×Dic43—21no—
264C2×Dic43—21no—
265C2×Dic43—21no—
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—21no—
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43#11712yes—
280C2×Dic43#13112yes—
281C4×D43—22no—
282C4×D43—22no—
283C4×D43—22no—
284C4×D43—22no—
285C8×C43—22no—
286C8×C43—22no—
287C8×C43—41no—
288C8×C43—41no—
289C43⋊C8—41no—
290C43⋊C8—41no—
291C43⋊C8—41no—
292C43⋊C8—41no—
293#22757—431nomaximal, Sylow
294C22×C43—41no—
295C22×C43—41no—
296C22×C43—41no—
297C22×C43—41no—
298C22×C43—41no—
299C22×C43—41no—
300C22×C43—41no—
301C22×C43C2×#11711yescharacteristic
302C22×C43C2×C4×D411yescharacteristic
303C22×C43#52011yescharacteristic
304C22×C43C2×#13111yescharacteristic
305C22×C43#56811yescharacteristic
306C22×C43#56811yescharacteristic
307C22×C43#56811yescharacteristic
308C2×D43—22no—
309C2×D43—22no—
310C2×D43—22no—
311C2×D43—41no—
312C2×D43—41no—
313C2×D43—41no—
314C2×D43—41no—
315C4×C43—22no—
316C4×C43—22no—
317C4×C43—41no—
318C4×C43—41no—
319C4×C43—41no—
320C4×C43#54611yescharacteristic
321C4×C43#54811yescharacteristic
322C4×C43#55211yescharacteristic
323C4×C43#55311yescharacteristic
324Dic43—22no—
325Dic43—22no—
326Dic43—41no—
327Dic43—41no—
328Dic43—41no—
329Dic43—41no—
330Dic43—41no—
331C2×#433D4311yescharacteristic, complemented
332C2×#424—431no—
333#2293—431no—
334#1924—431no—
335#1924—431no—
336#1917—431no—
337#1916—431no—
338#1870—431no—
339#1869—431no—
340#1831—431no—
341#1798—431no—
342#1798—431no—
343#1767—431no—
344#1753—431no—
345#1752—431no—
346C2×C43—81no—
347C2×C43#235211yescharacteristic
348C2×C43#292311yescharacteristic
349C2×C43#292411yescharacteristic
350C2×C43#293211yescharacteristic
351C2×C43#293511yescharacteristic
352C2×C43#299311yescharacteristic
353C2×C43#299511yescharacteristic
354D43—42no—
355C22×M16—431no—
356C23×C8—431no—
357C2×C4×D4—431no—
358C2×#117—431no—
359C2×#117C2×D4311yescharacteristic
360#433—24no—
361#424—864no—
362C2×C4⋊C8—431no—
363C2×C4⋊C8—431no—
364C2×C4⋊C8—431no—
365C2×C4⋊C8—431no—
366C2×C4⋊C8C2×D4311yescharacteristic
367C2×C4⋊C8C2×D4311yescharacteristic
368C2×C22⋊C8—431no—
369C2×C22⋊C8—431no—
370C2×C22⋊C8—431no—
371C2×C22⋊C8—431no—
372C2×C22⋊C8C2×D4311yescharacteristic
373C2×C22⋊C8C2×D4311yescharacteristic
374C2×#97—431no—
375C2×#97—431no—
376C2×#97C2×D4311yescharacteristic
377C2×C4×C8C2×D4311yescharacteristic
378#390—431no—
379#390—431no—
380#389—431no—
381#389—431no—
382#388—431no—
383#388—431no—
384#388—431no—
385#388—431no—
386C4×C4⋊C4—431no—
387C4×C22⋊C4—431no—
388C4×C22⋊C4—431no—
389C43—431no—
390#336—431no—
391#336—431no—
392#336—431no—
393#336—431no—
394#336—431no—
395#336—431no—
396#336—431no—
397#336—431no—
398#336—431no—
399#336—431no—
400C43#2275711yescharacteristic, complemented, Sylow
401C22×D4—431no—
402C23×C4—431no—
403C23×C4C22×D4311yescharacteristic
404C2×M16—862no—
405C2×M16—862no—
406C2×M16—1721no—
407C22×C8—431no—
408C22×C8—431no—
409C22×C8—431no—
410C22×C8—431no—
411C22×C8—862no—
412C22×C8—862no—
413C22×C8—1721no—
414C22×C8C22×D4311yescharacteristic
415C22×C8C22×D4311yescharacteristic
416C22×C8C22×D4311yescharacteristic
417C22×C8C22×D4311yescharacteristic
418C4×D4—862no—
419C4×D4—862no—
420#117—22no—
421#117—22no—
422#117—862no—
423#117—862no—
424C2×C4⋊C4—431no—
425C2×C4⋊C4—431no—
426C2×C4⋊C4—431no—
427C2×C4⋊C4—431no—
428C2×C4⋊C4—431no—
429C2×C4⋊C4C4×D4311yescharacteristic
430C2×C4⋊C4C4×D4311yescharacteristic
431C2×C22⋊C4—431no—
432C2×C22⋊C4—431no—
433C2×C22⋊C4—431no—
434C2×C22⋊C4—431no—
435C2×C22⋊C4—431no—
436C2×C22⋊C4—431no—
437C2×C22⋊C4—431no—
438C2×C22⋊C4—431no—
439C2×C22⋊C4C4×D4311yescharacteristic
440C2×C22⋊C4C4×D4311yescharacteristic
441C2×C42—431no—
442C2×C42—431no—
443C2×C42—431no—
444C2×C42—431no—
445C2×C42—431no—
446C2×C42—431no—
447C2×C42—431no—
448C2×C42C22×D4311yescharacteristic
449C2×C42C22×D4311yescharacteristic
450C4⋊C8—22no—
451C4⋊C8—862no—
452C4⋊C8—862no—
453C4⋊C8—862no—
454C4⋊C8—862no—
455C4⋊C8C22⋊D4314yescomplemented
456C22⋊C8—22no—
457C22⋊C8—22no—
458C22⋊C8—862no—
459C22⋊C8—862no—
460C22⋊C8—1721no—
461C22⋊C8—1721no—
462#97—22no—
463#97—1721no—
464#97—1721no—
465C4×C8—22no—
466#95—431no—
467#95—431no—
468#95—431no—
469#95—431no—
470#95—431no—
471#95—431no—
472C24—431no—
473C24C2×C4×D4311yescharacteristic
474C2×D4—862no—
475C2×D4—862no—
476C2×D4—1721no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—431no—
484C22×C4—431no—
485C22×C4—432no—
486C22×C4—432no—
487C22×C4—431no—
488C22×C4—431no—
489C22×C4—431no—
490C22×C4—431no—
491C22×C4—431no—
492C22×C4—861no—
493C22×C4—861no—
494C22×C4—861no—
495C22×C4—861no—
496C22×C4C2×C4×D4311yescharacteristic
497C22×C4C2×C4×D4311yescharacteristic
498C22×C4C2×C4×D4311yescharacteristic
499C22×C4C2×C4×D4311yescharacteristic
500C22×C4C2×C4×D4311yescharacteristic
501C22×C4C23×D4311yescharacteristic
502M16—1724no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—861no—
514C2×C8—861no—
515C2×C8—861no—
516C2×C8—861no—
517C2×C8—861no—
518C2×C8—861no—
519C2×C8—861no—
520C2×C8—861no—
521C2×C8—861no—
522C2×C8—861no—
523C2×C8—861no—
524C2×C8—861no—
525C2×C8—1724no—
526C2×C8C2×C22⋊D4312yes—
527C2×C8C2×C22⋊D4312yes—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—862no—
531C4⋊C4—862no—
532C4⋊C4—862no—
533C4⋊C4—862no—
534C4⋊C4—1721no—
535C22⋊C4—22no—
536C22⋊C4—22no—
537C22⋊C4—862no—
538C22⋊C4—862no—
539C22⋊C4—862no—
540C22⋊C4—862no—
541C22⋊C4—1721no—
542C22⋊C4—1721no—
543C22⋊C4—1721no—
544C22⋊C4—1721no—
545C42—21no—
546C42—21no—
547C42—862no—
548C42—861no—
549C42—861no—
550C42—861no—
551C42—861no—
552C42—861no—
553C42—861no—
554C42—1721no—
555C42—1721no—
556C42—1721no—
557C42#1062189812yes—
558C42C2×C22⋊D4312yes—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—432no—
567C23—861no—
568C23—861no—
569C23—861no—
570C23—861no—
571C23—861no—
572C23—861no—
573C23C22×C4×D4311yescharacteristic
574D4—1724no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—432no—
593C2×C4—432no—
594C2×C4—861no—
595C2×C4—861no—
596C2×C4—861no—
597C2×C4—861no—
598C2×C4—862no—
599C2×C4—862no—
600C2×C4—862no—
601C2×C4—862no—
602C2×C4—861no—
603C2×C4—861no—
604C2×C4—861no—
605C2×C4—861no—
606C2×C4—861no—
607C2×C4—861no—
608C2×C4—861no—
609C2×C4—861no—
610C2×C4—861no—
611C2×C4—861no—
612C2×C4—861no—
613C2×C4—861no—
614C2×C4—861no—
615C2×C4—861no—
616C2×C4—861no—
617C2×C4C4×C22⋊D4312yes—
618C2×C4C4×C22⋊D4312yes—
619C2×C4C22×C22⋊D4311yescharacteristic
620C2×C4#41×D4311yescharacteristic
621C2×C4#41×D4311yescharacteristic
622C2×C4C2×#1062189811yescharacteristic
623C2×C4#1306337111yescharacteristic
624C2×C4#1306337211yescharacteristic
625C8—22no—
626C8—22no—
627C8—41no—
628C8—41no—
629C8—1721no—
630C8—1721no—
631C8—1721no—
632C8—1721no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—862no—
641C22—862no—
642C22—862no—
643C22—1721no—
644C22—1721no—
645C22—1721no—
646C22—1721no—
647C22#117×D4311yescharacteristic
648C22C2×C4×C22⋊D4311yescharacteristic
649C22#1458337911yescharacteristic
650C22#131×D4311yescharacteristic
651C22#1458366411yescharacteristic
652C22#1458366411yescharacteristic
653C22#1458366411yescharacteristic
654C4—22no—
655C4—22no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—862no—
660C4—862no—
661C4—1721no—
662C4—1721no—
663C4—1721no—
664C4—1721no—
665C4—1721no—
666C4#1458353711yescharacteristic
667C4#1458355611yescharacteristic
668C4#1458358811yescharacteristic
669C4#1458359311yescharacteristic
670C2—81no—
671C2—1722no—
672C2#1913752511yescharacteristic
673C2#1914324311yescharacteristic
674C2#1914325111yescharacteristic
675C2#1914331111yescharacteristic
676C2#1914333711yescharacteristic
677C2#1914373811yescharacteristic
678C2#1914376011yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D43
commutator, socleC23×C43C23×C4
FittingC2×C43×#433C2
prime radicalC22×C22⋊D43C2×C4
cosocleC22×C4×C43C24
hypercenterC2×#433D43
hypocenterC43#22757
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#14582924C2semidirect
3. #19135211C2semidirect
4. #19135211C2semidirect
5. #19135159C2semidirect
6. #19135152C2semidirect
9. #19134711C2semidirect
10. #19134579C2semidirect
11. #19134576C2semidirect
12. #19134450C2semidirect
13. #19134378C2semidirect
14. #19134372C2semidirect
15. C2×C43×#433C2semidirect
127. C4⋊C8×C43D4semidirect
331. C2×#433D43semidirect
400. C43#22757semidirect
455. C4⋊C8C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145829242
#191370542
#191352112
#191351592
#191351522
#191348892
#191348842
#191347112
#191345792
#191345762
#191344502
#191343782
#191343722
C2×C43×#4332
#2275743