Finite Group Databasebeta

← #62983

Subgroups — #62983

Order 256.

4027 conjugacy classes of subgroups.

The subgroup lattice has 559 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3519C218yesmaximal, complemented
2#3519C214yesmaximal, complemented
3#3514C214yesmaximal, complemented
4#3513C218yesmaximal, complemented
5#3508C212yesmaximal, complemented
6#3505C214yesmaximal, complemented
7#3501C211yesmaximal, characteristic, complemented
8#3494C214yesmaximal, complemented
9#3490C218yesmaximal, complemented
10#3484C212yesmaximal, complemented
11#3481C214yesmaximal, complemented
12#3475C212yesmaximal, complemented
13D4×#41C214yesmaximal, complemented
14C2×#546C214yesmaximal, complemented
15C2×D42C211yesmaximal, characteristic, complemented
16C4×H(5,𝔽2)C211yesmaximal, characteristic, complemented
17C2×#518C212yesmaximal, complemented
18C2×H(5,𝔽2)C2211yescharacteristic
19C22×#41C2214yescomplemented
20C23×D4C2212yes—
21C23×D4C2212yescomplemented
22#559C2214yescomplemented
23#559C2214yescomplemented
24#556C2212yescomplemented
25#555C2212yescomplemented
26#555C2218yescomplemented
27#554C2212yescomplemented
28#554C2214yescomplemented
29#554C2218yescomplemented
30#553C2214yescomplemented
31#553C2218yescomplemented
32#553C2218yescomplemented
33#553C2218yescomplemented
34#553C22116yescomplemented
35#552C2214yescomplemented
36#552C2214yescomplemented
37#551C2218yescomplemented
38#551C22116yescomplemented
39#551C22116yescomplemented
40#551C22116yescomplemented
41#550C2214yescomplemented
42#550C2214yescomplemented
43D4×Q8C2214yescomplemented
44#548C2218yescomplemented
45#547C2212yescomplemented
46#547C2218yescomplemented
47#546C2214yescomplemented
48#546C22116yescomplemented
49#546C2218yescomplemented
50#546C2218yescomplemented
51#546C2218yescomplemented
52#546C2218yescomplemented
53#546C2218yescomplemented
54#546C22116yescomplemented
55#546C22116yescomplemented
56#546C22116yescomplemented
57#546C2218yescomplemented
58D42C2214yescomplemented
59D42C2218yescomplemented
60D42C2214yescomplemented
61D42C2218yescomplemented
62D42C2218yescomplemented
63#544C2212yescomplemented
64#543C2214yescomplemented
65#542C2218yescomplemented
66#540C2218yescomplemented
67#540C2218yescomplemented
68#539C2218yescomplemented
69#538C22116yescomplemented
70#538C22116yescomplemented
71#538C2218yescomplemented
72#535C2214yescomplemented
73#534C2218yescomplemented
74#533C2212yescomplemented
75#532C2218yescomplemented
76#532C2214yescomplemented
77#532C2214yescomplemented
78C2×#127C2211yescharacteristic, complemented
79#529C2218yescomplemented
80#529C2214yescomplemented
81#529C2218yescomplemented
82#529C2218yescomplemented
83C2×#124C2214yescomplemented
84#525C2214yescomplemented
85#525C22116yescomplemented
86#525C22116yescomplemented
87#525C2218yescomplemented
88C2×#123C2218yescomplemented
89C2×C22⋊Q8C2214yescomplemented
90C2×#121C2212yescomplemented
91C2×#121C2212yescomplemented
92C2×#121C2214yescomplemented
93C2×#121C2218yescomplemented
94C2×#120C2214yescomplemented
95C2×#120C2218yescomplemented
96#520C2212yescomplemented
97#520C2214yescomplemented
98#518C2211yescharacteristic
99#518C2212yes—
100#518C2218yescomplemented
101#518C2214yescomplemented
102#518C2214yescomplemented
103#518C2218yescomplemented
104#518C2218yescomplemented
105#518C2214yescomplemented
106C4×#41C2212yescomplemented
107C4×#41C2214yescomplemented
108C4×#41C2214yescomplemented
109C2×C4×D4C2211yescharacteristic
110C2×C4×D4C2211yescharacteristic, complemented
111C2×C4×D4C2214yescomplemented
112C2×C4×D4C2218yescomplemented
113C2×C4×D4C2218yescomplemented
114C2×C4×D4C2214yescomplemented
115C2×C4×D4C2214yescomplemented
116C2×#117C2214yescomplemented
117C22×C22⋊C4C2218yescomplemented
118C25C2314yes—
119H(5,𝔽2)—28no—
120C2×#41—416no—
121C2×#41C2312yes—
122C2×#41C2314yes—
123C2×#41C2314yes—
124C2×#41C23116yescomplemented
125C2×#41C2318yescomplemented
126C2×#41C2318yescomplemented
127C22×Q8C2314yescomplemented
128C22×D4—216no—
129C22×D4—48no—
130C22×D4C2318yes—
131C22×D4C2314yes—
132C22×D4C2314yes—
133C22×D4C2314yes—
134C22×D4C2311yescharacteristic
135C22×D4C2314yes—
136C22×D4C2312yes—
137C22×D4C2318yes—
138C22×D4C2314yes—
139C22×D4C2318yes—
140C22×D4C2314yes—
141C22×D4C2312yes—
142C22×D4C2312yes—
143C22×D4C2311yescharacteristic
144C22×D4C2318yescomplemented
145C22×D4C2318yescomplemented
146C23×C4C2312yes—
147C23×C4C2312yes—
148C23×C4C2318yescomplemented
149C23×C4C2314yescomplemented
150C23×C4C2318yescomplemented
151C4⋊Q8C2312yescomplemented
152C4⋊Q8C2312yescomplemented
153C4⋊Q8C2318yescomplemented
154#127C2314yes—
155#127C2314yes—
156#127C2318yescomplemented
157#126C2318yescomplemented
158#126C2318yescomplemented
159#126C2318yescomplemented
160#126C23116yescomplemented
161#126C23116yescomplemented
162#125C2314yescomplemented
163#125C2318yescomplemented
164#125C2318yescomplemented
165#125C2314yescomplemented
166#124C2314yes—
167#124C2318yescomplemented
168#124C23116yescomplemented
169#124C2318yescomplemented
170#124C2318yescomplemented
171#124C23116yescomplemented
172#124C2318yescomplemented
173#123C2318yes—
174#123C2318yes—
175#123C23116yescomplemented
176#123C23116yescomplemented
177#123C23116yescomplemented
178#123C2318yescomplemented
179#123C23116yescomplemented
180#123C23116yescomplemented
181#123C23116yescomplemented
182#123C23116yescomplemented
183#123C2318yescomplemented
184C22⋊Q8C2314yes—
185C22⋊Q8C2318yes—
186C22⋊Q8C2314yes—
187C22⋊Q8C2318yescomplemented
188C22⋊Q8C2318yescomplemented
189C22⋊Q8C2314yescomplemented
190C22⋊Q8C2318yescomplemented
191C22⋊Q8C2314yescomplemented
192C22⋊Q8C23116yescomplemented
193C22⋊Q8C23116yescomplemented
194C22⋊Q8C23116yescomplemented
195C22⋊Q8C2314yescomplemented
196#121C2318yes—
197#121C2314yes—
198#121C2318yes—
199#121C2318yes—
200#121C2318yes—
201#121C2318yes—
202#121C23116yescomplemented
203#121C2318yescomplemented
204#121C23116yescomplemented
205#121C23116yescomplemented
206#121C23116yescomplemented
207#121C2314yescomplemented
208#121C23116yescomplemented
209#121C23116yescomplemented
210#121C23116yescomplemented
211#121C2314yescomplemented
212#121C2318yescomplemented
213#121C2318yescomplemented
214#121C2318yescomplemented
215#120C2318yes—
216#120C23116yes—
217#120C23116yes—
218#120C23116yes—
219#120C23116yescomplemented
220#120C23116yescomplemented
221#120C23116yescomplemented
222C4×Q8C2312yescomplemented
223C4×Q8C2314yescomplemented
224C4×Q8C2312yescomplemented
225C4×Q8C2314yescomplemented
226C4×Q8C2314yescomplemented
227C4×Q8C2314yescomplemented
228C4×D4C2314yes—
229C4×D4C2314yes—
230C4×D4C2314yes—
231C4×D4C2314yes—
232C4×D4C2314yes—
233C4×D4C2314yes—
234C4×D4C2312yes—
235C4×D4C2318yes—
236C4×D4C2318yes—
237C4×D4C2318yes—
238C4×D4C2314yes—
239C4×D4C2312yes—
240C4×D4C2314yes—
241C4×D4C2318yescomplemented
242C4×D4C2312yescomplemented
243C4×D4C23116yescomplemented
244C4×D4C23116yescomplemented
245C4×D4C2318yescomplemented
246C4×D4C2318yescomplemented
247C4×D4C23116yescomplemented
248C4×D4C23116yescomplemented
249C4×D4C2318yescomplemented
250C4×D4C2318yescomplemented
251C4×D4C2318yescomplemented
252C4×D4C2314yescomplemented
253C4×D4C2318yescomplemented
254C4×D4C23116yescomplemented
255C4×D4C2318yescomplemented
256C4×D4C2318yescomplemented
257C4×D4C2312yescomplemented
258C4×D4C2318yescomplemented
259C4×D4C2318yescomplemented
260C4×D4C2318yescomplemented
261C4×D4C23116yescomplemented
262C4×D4C2318yescomplemented
263#117C2312yes—
264#117C2314yes—
265#117C2318yes—
266#117C2318yescomplemented
267#117C2314yescomplemented
268#117C2314yescomplemented
269#117C2314yescomplemented
270#117C2318yescomplemented
271#117C2314yescomplemented
272#117C2318yescomplemented
273#117C2314yescomplemented
274#117C23116yescomplemented
275C2×C4⋊C4C2311yescharacteristic
276C2×C4⋊C4C2311yescharacteristic
277C2×C4⋊C4C2314yescomplemented
278C2×C4⋊C4C2314yescomplemented
279C2×C4⋊C4C2314yescomplemented
280C2×C4⋊C4C2314yescomplemented
281C2×C4⋊C4C2314yescomplemented
282C2×C4⋊C4C2318yescomplemented
283C2×C22⋊C4C2318yes—
284C2×C22⋊C4C2314yes—
285C2×C22⋊C4C2318yes—
286C2×C22⋊C4C23116yes—
287C2×C22⋊C4C2312yes—
288C2×C22⋊C4C2312yes—
289C2×C22⋊C4C2314yes—
290C2×C22⋊C4C23116yescomplemented
291C2×C22⋊C4C2318yescomplemented
292C2×C22⋊C4C2318yescomplemented
293C2×C22⋊C4C23116yescomplemented
294C2×C22⋊C4C2314yescomplemented
295C2×C22⋊C4C2318yescomplemented
296C2×C22⋊C4C2318yescomplemented
297C2×C22⋊C4C2318yescomplemented
298C2×C42C2311yescharacteristic
299C2×C42C2318yescomplemented
300C2×C42C2314yescomplemented
301C2×C42C2314yescomplemented
302C24—216no—
303C24—48no—
304C24—84no—
305C24C2412yes—
306C24C2418yes—
307C24C2414yes—
308C24C2418yes—
309C24C2414yes—
310C24C2412yes—
311#41—216no—
312#41—216no—
313#41—28no—
314#41—432no—
315#41—416no—
316#41—88no—
317C2×Q8—48no—
318C2×Q8C2412yes—
319C2×Q8C2414yes—
320C2×Q8C2414yes—
321C2×Q8C2418yes—
322C2×D4—216no—
323C2×D4—216no—
324C2×D4—232no—
325C2×D4—232no—
326C2×D4—216no—
327C2×D4—24no—
328C2×D4—216no—
329C2×D4—28no—
330C2×D4—44no—
331C2×D4—48no—
332C2×D4—416no—
333C2×D4—48no—
334C2×D4—416no—
335C2×D4—82no—
336C2×D4—88no—
337C2×D4#4118yescomplemented
338C2×D4C2414yes—
339C2×D4C2412yes—
340C2×D4C2411yescharacteristic
341C2×D4C24116yes—
342C2×D4C2418yes—
343C2×D4C2418yes—
344C2×D4C2412yes—
345C2×D4C2418yes—
346C2×D4C2418yes—
347C2×D4C2414yes—
348C2×D4C2418yes—
349C2×D4C2418yes—
350C2×D4C24116yes—
351C2×D4C2418yes—
352C2×D4C24116yes—
353C2×D4C2414yes—
354C2×D4C2414yes—
355C2×D4C2411yescharacteristic
356C22×C4—28no—
357C22×C4—44no—
358C22×C4—48no—
359C22×C4—416no—
360C22×C4—88no—
361C22×C4C2411yescharacteristic
362C22×C4C2414yes—
363C22×C4C2418yes—
364C22×C4C2414yes—
365C22×C4C2414yes—
366C22×C4C2414yes—
367C22×C4C2414yes—
368C22×C4C2412yes—
369C22×C4C2414yes—
370C22×C4C2411yescharacteristic
371C22×C4C2414yes—
372C22×C4C2418yes—
373C22×C4C2414yes—
374C22×C4C2412yes—
375C22×C4C2418yes—
376C22×C4C2414yes—
377C22×C4C2418yes—
378C22×C4C24116yes—
379C22×C4C24116yes—
380C22×C4C2414yes—
381C22×C4C2418yes—
382C22×C4C2411yescharacteristic
383C4⋊C4C2414yes—
384C4⋊C4C2412yes—
385C4⋊C4C2412yes—
386C4⋊C4C2412yes—
387C4⋊C4C2412yes—
388C4⋊C4C2414yes—
389C4⋊C4C2418yes—
390C4⋊C4C2414yes—
391C4⋊C4C2418yes—
392C4⋊C4C2414yes—
393C4⋊C4C2414yes—
394C4⋊C4C2418yes—
395C4⋊C4C2418yes—
396C4⋊C4C24116yes—
397C4⋊C4C2418yes—
398C4⋊C4C2414yes—
399C4⋊C4C2418yes—
400C4⋊C4C2418yes—
401C4⋊C4C2418yes—
402C4⋊C4C2414yes—
403C22⋊C4C2414yes—
404C22⋊C4C2418yes—
405C22⋊C4C2418yes—
406C22⋊C4C2418yes—
407C22⋊C4C2418yes—
408C22⋊C4C24116yes—
409C22⋊C4C24116yes—
410C22⋊C4C24116yes—
411C22⋊C4C2418yes—
412C22⋊C4C2414yes—
413C22⋊C4C24116yes—
414C22⋊C4C2414yes—
415C22⋊C4C2418yes—
416C22⋊C4C2414yes—
417C22⋊C4C2418yes—
418C22⋊C4C2414yes—
419C22⋊C4C2418yes—
420C22⋊C4C24116yes—
421C22⋊C4C24116yes—
422C22⋊C4C2418yes—
423C22⋊C4C2418yes—
424C42C2412yes—
425C42C2412yes—
426C42C2414yes—
427C42C2414yes—
428C42C2418yes—
429C42C2418yes—
430C42C2418yes—
431C42C2418yes—
432C42C2414yes—
433C23—24no—
434C23—216no—
435C23—216no—
436C23—24no—
437C23—28no—
438C23—216no—
439C23—28no—
440C23—42no—
441C23—48no—
442C23—42no—
443C23—42no—
444C23—44no—
445C23—48no—
446C23—44no—
447C23—44no—
448C23—48no—
449C23—44no—
450C23—832no—
451C23C2×#4118yescomplemented
452C23C2512yes—
453C23C2518yes—
454C23C2514yes—
455C23C2511yescharacteristic
456C23C2514yes—
457C23C2512yes—
458Q8—24no—
459Q8—28no—
460Q8—48no—
461Q8—44no—
462D4—232no—
463D4—28no—
464D4—216no—
465D4—24no—
466D4—216no—
467D4—216no—
468D4—216no—
469D4—24no—
470D4—22no—
471D4—28no—
472D4—44no—
473D4—48no—
474D4—416no—
475D4—48no—
476D4—416no—
477D4—48no—
478D4C2×#41116yescomplemented
479D4H(5,𝔽2)14yescomplemented
480C2×C4—24no—
481C2×C4—28no—
482C2×C4—216no—
483C2×C4—28no—
484C2×C4—28no—
485C2×C4—28no—
486C2×C4—22no—
487C2×C4—28no—
488C2×C4—28no—
489C2×C4—44no—
490C2×C4—44no—
491C2×C4—42no—
492C2×C4—48no—
493C2×C4—48no—
494C2×C4—416no—
495C2×C4—44no—
496C2×C4—48no—
497C2×C4—48no—
498C2×C4—416no—
499C2×C4—41no—
500C2×C4—44no—
501C2×C4C2×#4114yescomplemented
502C2×C4C2514yes—
503C2×C4C2514yes—
504C2×C4C2514yes—
505C2×C4C2512yes—
506C2×C4C2514yes—
507C2×C4C2518yes—
508C2×C4C2518yes—
509C2×C4C2514yes—
510C2×C4C2511yescharacteristic
511C2×C4C2512yes—
512C2×C4C2511yescharacteristic
513C22—22no—
514C22—24no—
515C22—21no—
516C22—22no—
517C22—24no—
518C22—21no—
519C22—22no—
520C22—24no—
521C22—28no—
522C22—24no—
523C22—28no—
524C22—22no—
525C22—28no—
526C22—24no—
527C22—22no—
528C22—48no—
529C22—432no—
530C22—48no—
531C22—88no—
532C22—88no—
533C22—816no—
534C22C22×#4112yes—
535C22C22×#4118yes—
536C22C2×H(5,𝔽2)14yes—
537C22C2611yescharacteristic
538C4—24no—
539C4—24no—
540C4—24no—
541C4—21no—
542C4—24no—
543C4—28no—
544C4—24no—
545C4—28no—
546C4—22no—
547C4C22×#4114yes—
548C4C2×H(5,𝔽2)12yes—
549C2—24no—
550C2—22no—
551C2—28no—
552C2—48no—
553C2—42no—
554C2—44no—
555C2C23×#4111yescharacteristic
556C2C22×H(5,𝔽2)11yescharacteristic
557C2H(7,𝔽2)11yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC22C26
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ G
LECSG ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #3519C2semidirect
2. #3519C2semidirect
3. #3514C2semidirect
4. #3513C2semidirect
5. #3508C2semidirect
6. #3505C2semidirect
7. #3501C2semidirect
8. #3494C2semidirect
9. #3490C2semidirect
10. #3484C2semidirect
11. #3481C2semidirect
12. #3475C2semidirect
13. D4×#41C2semidirect
14. C2×#546C2semidirect
15. C2×D42C2semidirect
16. C4×H(5,𝔽2)C2semidirect
17. C2×#518C2semidirect
19. C22×#41C22semidirect
21. C23×D4C22semidirect
22. #559C22semidirect
23. #559C22semidirect
24. #556C22semidirect
25. #555C22semidirect
26. #555C22semidirect
27. #554C22semidirect
28. #554C22semidirect
29. #554C22semidirect
30. #553C22semidirect
31. #553C22semidirect
32. #553C22semidirect
33. #553C22semidirect
34. #553C22semidirect
35. #552C22semidirect
36. #552C22semidirect
37. #551C22semidirect
38. #551C22semidirect
39. #551C22semidirect
40. #551C22semidirect
41. #550C22semidirect
42. #550C22semidirect
43. D4×Q8C22semidirect
44. #548C22semidirect
45. #547C22semidirect
46. #547C22semidirect
47. #546C22semidirect
48. #546C22semidirect
49. #546C22semidirect
50. #546C22semidirect
51. #546C22semidirect
52. #546C22semidirect
53. #546C22semidirect
54. #546C22semidirect
55. #546C22semidirect
56. #546C22semidirect
57. #546C22semidirect
58. D42C22semidirect
59. D42C22semidirect
60. D42C22semidirect
61. D42C22semidirect
62. D42C22semidirect
63. #544C22semidirect
64. #543C22semidirect
65. #542C22semidirect
66. #540C22semidirect
67. #540C22semidirect
68. #539C22semidirect
69. #538C22semidirect
70. #538C22semidirect
71. #538C22semidirect
72. #535C22semidirect
73. #534C22semidirect
74. #533C22semidirect
75. #532C22semidirect
76. #532C22semidirect
77. #532C22semidirect
78. C2×#127C22semidirect
79. #529C22semidirect
80. #529C22semidirect
81. #529C22semidirect
82. #529C22semidirect
83. C2×#124C22semidirect
84. #525C22semidirect
85. #525C22semidirect
86. #525C22semidirect
87. #525C22semidirect
88. C2×#123C22semidirect
89. C2×C22⋊Q8C22semidirect
90. C2×#121C22semidirect
91. C2×#121C22semidirect
92. C2×#121C22semidirect
93. C2×#121C22semidirect
94. C2×#120C22semidirect
95. C2×#120C22semidirect
96. #520C22semidirect
97. #520C22semidirect
100. #518C22semidirect
101. #518C22semidirect
102. #518C22semidirect
103. #518C22semidirect
104. #518C22semidirect
105. #518C22semidirect
106. C4×#41C22semidirect
107. C4×#41C22semidirect
108. C4×#41C22semidirect
110. C2×C4×D4C22semidirect
111. C2×C4×D4C22semidirect
112. C2×C4×D4C22semidirect
113. C2×C4×D4C22semidirect
114. C2×C4×D4C22semidirect
115. C2×C4×D4C22semidirect
116. C2×#117C22semidirect
117. C22×C22⋊C4C22semidirect
124. C2×#41C23semidirect
125. C2×#41C23semidirect
126. C2×#41C23semidirect
127. C22×Q8C23semidirect
144. C22×D4C23semidirect
145. C22×D4C23semidirect
148. C23×C4C23semidirect
149. C23×C4C23semidirect
150. C23×C4C23semidirect
151. C4⋊Q8C23semidirect
152. C4⋊Q8C23semidirect
153. C4⋊Q8C23semidirect
156. #127C23semidirect
157. #126C23semidirect
158. #126C23semidirect
159. #126C23semidirect
160. #126C23semidirect
161. #126C23semidirect
162. #125C23semidirect
163. #125C23semidirect
164. #125C23semidirect
165. #125C23semidirect
167. #124C23semidirect
168. #124C23semidirect
169. #124C23semidirect
170. #124C23semidirect
171. #124C23semidirect
172. #124C23semidirect
175. #123C23semidirect
176. #123C23semidirect
177. #123C23semidirect
178. #123C23semidirect
179. #123C23semidirect
180. #123C23semidirect
181. #123C23semidirect
182. #123C23semidirect
183. #123C23semidirect
187. C22⋊Q8C23semidirect
188. C22⋊Q8C23semidirect
189. C22⋊Q8C23semidirect
190. C22⋊Q8C23semidirect
191. C22⋊Q8C23semidirect
192. C22⋊Q8C23semidirect
193. C22⋊Q8C23semidirect
194. C22⋊Q8C23semidirect
195. C22⋊Q8C23semidirect
202. #121C23semidirect
203. #121C23semidirect
204. #121C23semidirect
205. #121C23semidirect
206. #121C23semidirect
207. #121C23semidirect
208. #121C23semidirect
209. #121C23semidirect
210. #121C23semidirect
211. #121C23semidirect
212. #121C23semidirect
213. #121C23semidirect
214. #121C23semidirect
219. #120C23semidirect
220. #120C23semidirect
221. #120C23semidirect
222. C4×Q8C23semidirect
223. C4×Q8C23semidirect
224. C4×Q8C23semidirect
225. C4×Q8C23semidirect
226. C4×Q8C23semidirect
227. C4×Q8C23semidirect
241. C4×D4C23semidirect
242. C4×D4C23semidirect
243. C4×D4C23semidirect
244. C4×D4C23semidirect
245. C4×D4C23semidirect
246. C4×D4C23semidirect
247. C4×D4C23semidirect
248. C4×D4C23semidirect
249. C4×D4C23semidirect
250. C4×D4C23semidirect
251. C4×D4C23semidirect
252. C4×D4C23semidirect
253. C4×D4C23semidirect
254. C4×D4C23semidirect
255. C4×D4C23semidirect
256. C4×D4C23semidirect
257. C4×D4C23semidirect
258. C4×D4C23semidirect
259. C4×D4C23semidirect
260. C4×D4C23semidirect
261. C4×D4C23semidirect
262. C4×D4C23semidirect
266. #117C23semidirect
267. #117C23semidirect
268. #117C23semidirect
269. #117C23semidirect
270. #117C23semidirect
271. #117C23semidirect
272. #117C23semidirect
273. #117C23semidirect
274. #117C23semidirect
277. C2×C4⋊C4C23semidirect
278. C2×C4⋊C4C23semidirect
279. C2×C4⋊C4C23semidirect
280. C2×C4⋊C4C23semidirect
281. C2×C4⋊C4C23semidirect
282. C2×C4⋊C4C23semidirect
290. C2×C22⋊C4C23semidirect
291. C2×C22⋊C4C23semidirect
292. C2×C22⋊C4C23semidirect
293. C2×C22⋊C4C23semidirect
294. C2×C22⋊C4C23semidirect
295. C2×C22⋊C4C23semidirect
296. C2×C22⋊C4C23semidirect
297. C2×C22⋊C4C23semidirect
299. C2×C42C23semidirect
300. C2×C42C23semidirect
301. C2×C42C23semidirect
337. C2×D4#41semidirect
451. C23C2×#41semidirect
478. D4C2×#41semidirect
479. D4H(5,𝔽2)semidirect
501. C2×C4C2×#41semidirect

Maximal subgroups

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

subgroupindex
#35192
#35142
#35132
#35082
#35052
#35012
#34942
#34902
#34842
#34812
#34752
D4×#412
C2×#5462
C2×D422
C4×H(5,𝔽2)2
C2×#5182