Finite Group Databasebeta

← #25114827

Subgroups — #25114827

Order 11008.

1022 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582975C211yesmaximal, characteristic
2C2×#14582938C211yesmaximal, characteristic, complemented
3#19137545C211yesmaximal, characteristic
4C4⋊C4×C22⋊D43C211yesmaximal, characteristic
5#19135355C211yesmaximal, characteristic, complemented
6#19135350C211yesmaximal, characteristic, complemented
7#19134794C211yesmaximal, characteristic, complemented
8#19134793C211yesmaximal, characteristic, complemented
9#19134783C211yesmaximal, characteristic, complemented
10#19134781C211yesmaximal, characteristic, complemented
11#19134753C211yesmaximal, characteristic, complemented
12#19134629C211yesmaximal, characteristic, complemented
13#19134628C211yesmaximal, characteristic, complemented
14#106×Dic43C211yesmaximal, characteristic, complemented
15C2×C43×#428C211yesmaximal, characteristic, complemented
16C22×#10621872C2211yescharacteristic
17C2×C4×C22⋊D43—21no—
18C2×C4×C22⋊D43C2211yescharacteristic
19C2×#13063283C2211yescharacteristic
20C2×C4⋊C4×D43C2211yescharacteristic
21#14582975C418yescomplemented
22#14582938—24no—
23C2×#13063259C2211yescharacteristic
24C2×#13063258C2211yescharacteristic
25C2×#13063258C2211yescharacteristic
26C2×#13063258C2211yescharacteristic
27C2×#13063257C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×Dic43⋊C8C2211yescharacteristic
30C2×C22⋊(C43⋊C8)C2211yescharacteristic
31C2×(C2×D43)⋊C8C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33#14582799—21no—
34#14582794—21no—
35#14582790—21no—
36#14582787—21no—
37#14582772—21no—
38#14582770—21no—
39#14582768C2211yescharacteristic
40#14582768C2211yescharacteristic
41#14582759C2211yescharacteristic
42#14582759C2211yescharacteristic
43#14582756C2211yescharacteristic
44#14582756C2211yescharacteristic
45C4⋊C4×Dic43C2211yescharacteristic
46C4⋊C4×Dic43C2211yescharacteristic
47C4×Dic43⋊C4—21no—
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54C22×M16×C43C2211yescharacteristic
55C2×#117×C43C2211yescharacteristic
56C22×C4⋊C4×C43C2211yescharacteristic
57C43×#428—24no—
58C2×#107×C43C2211yescharacteristic
59C2×#107×C43C2211yescharacteristic
60C2×#106×C43C2211yescharacteristic
61C2×#106×C43C2211yescharacteristic
62C22×C22⋊D43D411yescharacteristic
63C22×C4×D43—21no—
64C22×C4×D43C2311yescharacteristic
65C2×#10621872—22no—
66C2×#10621872—22no—
67C2×#10621872C2×C414yescomplemented
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C4×C22⋊D43—44no—
71C4×C22⋊D43C2×C414yes—
72C4×C22⋊D43Q814yes—
73#13063283—22no—
74#13063283—41no—
75C2×C4⋊Dic43C2311yescharacteristic
76C2×C4⋊Dic43C2311yescharacteristic
77C2×C4⋊Dic43C2311yescharacteristic
78C2×C4⋊Dic43C2311yescharacteristic
79C2×Dic43⋊C4—21no—
80C2×Dic43⋊C4—21no—
81C2×Dic43⋊C4—21no—
82C2×Dic43⋊C4—21no—
83C2×Dic43⋊C4—21no—
84C2×Dic43⋊C4D411yescharacteristic
85C4⋊C4×D43—22no—
86C4⋊C4×D43—41no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43D411yescharacteristic
90C2×(C2×D43)⋊C4—21no—
91C2×(C2×D43)⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×(C2×D43)⋊C4D411yescharacteristic
94C2×C4×Dic43—21no—
95C2×C4×Dic43—21no—
96C2×C4×Dic43—21no—
97C2×C4×Dic43C2311yescharacteristic
98#13063259—22no—
99#13063258—22no—
100#13063258—41no—
101#13063258—41no—
102#13063257—22no—
103#13063256—22no—
104Dic43⋊C8C2×C414yescomplemented
105C22⋊(C43⋊C8)C2×C414yescomplemented
106(C2×D43)⋊C8C2×C414yescomplemented
107C8×Dic43C2×C414yescomplemented
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C23×C4×C43—21no—
115C23×C4×C43C2311yescharacteristic
116C2×M16×C43—22no—
117C2×M16×C43—22no—
118C2×M16×C43C2×C414yescomplemented
119C22×C8×C43C2311yescharacteristic
120C22×C8×C43C2311yescharacteristic
121#117×C43—22no—
122#117×C43—41no—
123C2×C4⋊C4×C43—22no—
124C2×C4⋊C4×C43—21no—
125C2×C4⋊C4×C43—41no—
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C22⋊C4×C43—21no—
131C2×C42×C43—21no—
132#107×C43—22no—
133#107×C43—22no—
134#106×C43—22no—
135#106×C43D414yescomplemented
136C24×C43C2×D411yescharacteristic
137C23×D43C2×D411yescharacteristic
138C22×C4×C43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—42no—
147C22×C4×C43—42no—
148C22×C4×C43—81no—
149C22×C4×C43C22×C412yes—
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×Q812yes—
152C22×C4×C43C2411yescharacteristic
153C2×C22⋊D43—22no—
154C2×C22⋊D43—22no—
155C2×C22⋊D43C4⋊C414yes—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43C2×D411yescharacteristic
161C22×Dic43C2×D411yescharacteristic
162C22×Dic43C2×D411yescharacteristic
163C2×C4×D43—21no—
164C2×C4×D43—21no—
165C2×C4×D43—21no—
166C2×C4×D43—21no—
167C2×C4×D43—42no—
168C2×C4×D43—42no—
169C2×C4×D43—81no—
170C2×C4×D43C22×C412yes—
171C2×C4×D43C2×Q812yes—
172M16×C43—28no—
173C2×C8×C43—21no—
174C2×C8×C43—21no—
175C2×C8×C43C22×C412yes—
176C2×C8×C43C22×C412yes—
177C2×C8×C43C2×D412yes—
178C2×C8×C43#4112yes—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—21no—
182C4⋊C4×C43—21no—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—42no—
186C4⋊C4×C43C2×D412yes—
187C4⋊C4×C43C2×D412yes—
188C22⋊C4×C43—42no—
189C42×C43—42no—
190C22⋊Dic43—42no—
191C22⋊Dic43—81no—
192C22⋊Dic43C4⋊C414yes—
193(C2×D43)⋊C4—42no—
194(C2×D43)⋊C4—42no—
195(C2×D43)⋊C4—81no—
196(C2×D43)⋊C4C4⋊C414yes—
197C4⋊Dic43—21no—
198C4⋊Dic43—21no—
199C4⋊Dic43—21no—
200C4⋊Dic43—21no—
201C4⋊Dic43—21no—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205Dic43⋊C4—42no—
206Dic43⋊C4—42no—
207Dic43⋊C4—42no—
208Dic43⋊C4—81no—
209Dic43⋊C4—81no—
210Dic43⋊C4C4⋊C414yes—
211C4×Dic43—42no—
212C4×Dic43—42no—
213C4×Dic43—42no—
214C4×Dic43C22×C412yes—
215C4×Dic43C2×Q812yes—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8C22×C412yes—
221C2×C43⋊C8C22×C412yes—
222#10621872—28no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43C2×C4⋊C412yes—
230C23×C43C22×D411yescharacteristic
231C22×D43—21no—
232C22×D43—21no—
233C22×D43—21no—
234C22×D43—21no—
235C22×D43—21no—
236C22×D43—21no—
237C22×D43C2×C4⋊C412yes—
238C2×C4×C43—21no—
239C2×C4×C43—21no—
240C2×C4×C43—22no—
241C2×C4×C43—22no—
242C2×C4×C43—22no—
243C2×C4×C43—22no—
244C2×C4×C43—22no—
245C2×C4×C43—22no—
246C2×C4×C43—41no—
247C2×C4×C43—41no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—84no—
257C2×C4×C43C2×C4⋊C412yes—
258C2×C4×C43C23×C411yescharacteristic
259C2×C4×C43C22×D411yescharacteristic
260C2×C4×C43C22×Q811yescharacteristic
261C2×C4×C43C2×#4111yescharacteristic
262C2×C4×C43H(5,𝔽2)11yescharacteristic
263C2×C4×C432−1+411yescharacteristic
264C22⋊D43—28no—
265C2×Dic43—21no—
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—41no—
270C2×Dic43—41no—
271C2×Dic43—41no—
272C2×Dic43—41no—
273C2×Dic43—41no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43C2×C4⋊C412yes—
282C2×Dic43C2×C4⋊C412yes—
283C2×Dic43C2×C4⋊C412yes—
284C2×Dic43AGL(1,ℤ/8)12yes—
285C2×Dic43#13712yes—
286C4×D43—22no—
287C4×D43—22no—
288C4×D43—22no—
289C4×D43—22no—
290C4×D43—84no—
291C8×C43—22no—
292C8×C43C4×D414yescomplemented
293C43⋊C8—22no—
294C43⋊C8—22no—
295#22665—431nomaximal, Sylow
296C22×C43—22no—
297C22×C43—22no—
298C22×C43—22no—
299C22×C43—41no—
300C22×C43—41no—
301C22×C43—41no—
302C22×C43—41no—
303C22×C43C22×C4⋊C411yescharacteristic
304C22×C43D4211yescharacteristic
305C22×C43#54711yescharacteristic
306C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
307C22×C43C2×#13711yescharacteristic
308C22×C43#57611yescharacteristic
309C22×C43#57811yescharacteristic
310C2×D43—22no—
311C2×D43—22no—
312C2×D43—22no—
313C2×D43—41no—
314C2×D43—41no—
315C2×D43—41no—
316C2×D43—41no—
317C4×C43—22no—
318C4×C43—42no—
319C4×C43—42no—
320C4×C43—81no—
321C4×C43—81no—
322C4×C43C2×C4×D411yescharacteristic
323C4×C43#52011yescharacteristic
324C4×C43D4×Q811yescharacteristic
325C4×C43#55411yescharacteristic
326Dic43—22no—
327Dic43—22no—
328Dic43—81no—
329Dic43—81no—
330Dic43—81no—
331Dic43—81no—
332Dic43#42814yescomplemented
333C2×#436—431no—
334C2×#428—431no—
335C2×#428D4311yescharacteristic, complemented
336#2354—431no—
337D4×C4⋊C4—431no—
338#1948—431no—
339#1947—431no—
340#1854—431no—
341#1854—431no—
342#1852—431no—
343#1852—431no—
344#1845—431no—
345#1809—431no—
346#1809—431no—
347C4×#106—431no—
348C2×C43—42no—
349C2×C43D4×C4⋊C411yescharacteristic
350C2×C43C2×#42811yescharacteristic
351C2×C43#291311yescharacteristic
352C2×C43#327411yescharacteristic
353C2×C43#327611yescharacteristic
354C2×C43#335311yescharacteristic
355C2×C43#335711yescharacteristic
356D43—42no—
357C22×M16—431no—
358C22×M16C2×D4311yescharacteristic
359C2×C4×D4—431no—
360C2×C4×D4—861no—
361C2×#117—431no—
362C2×#117C2×D4311yescharacteristic
363C22×C4⋊C4—431no—
364C22×C4⋊C4C2×D4311yescharacteristic
365#436—438no—
366#428—24no—
367#428—864no—
368C2×#107—431no—
369C2×#107—431no—
370C2×#107—431no—
371C2×#107—431no—
372C2×#107C2×D4311yescharacteristic
373C2×#107C2×D4311yescharacteristic
374C2×#106—431no—
375C2×#106—431no—
376C2×#106C2×D4311yescharacteristic
377C2×#106C2×D4311yescharacteristic
378C2×C4⋊C8—431no—
379C2×C22⋊C8—431no—
380C2×C22⋊C8—431no—
381C2×C4×C8—431no—
382#390—861no—
383#389—861no—
384#388—861no—
385#388—861no—
386#385—861no—
387#385—861no—
388#384—431no—
389#384—431no—
390#380—431no—
391#380—431no—
392#380—431no—
393#380—431no—
394C4×C4⋊C4—431no—
395C4×C4⋊C4—431no—
396C4×C4⋊C4—861no—
397#340—431no—
398#340—431no—
399#340—431no—
400#340—431no—
401#340—431no—
402#340—431no—
403C43#2266511yescharacteristic, complemented, Sylow
404C22×D4—431no—
405C23×C4—21no—
406C23×C4—431no—
407C23×C4—861no—
408C23×C4C22×D4311yescharacteristic
409C2×M16—22no—
410C2×M16—22no—
411C2×M16—434no—
412C2×M16—862no—
413C2×M16—862no—
414C2×M16C4×D4314yescomplemented
415C22×C8—431no—
416C22×C8—431no—
417C22×C8C22×D4311yescharacteristic
418C22×C8C22×D4311yescharacteristic
419C4×D4—434no—
420C4×D4—434no—
421C4×D4—1724no—
422#117—22no—
423#117—41no—
424#117—862no—
425#117—1721no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—41no—
429C2×C4⋊C4—431no—
430C2×C4⋊C4—431no—
431C2×C4⋊C4—431no—
432C2×C4⋊C4—431no—
433C2×C4⋊C4—431no—
434C2×C4⋊C4—862no—
435C2×C4⋊C4—861no—
436C2×C4⋊C4—861no—
437C2×C4⋊C4—861no—
438C2×C4⋊C4—861no—
439C2×C4⋊C4—861no—
440C2×C4⋊C4—1721no—
441C2×C4⋊C4C22×D4311yescharacteristic
442C2×C4⋊C4C22×D4311yescharacteristic
443C2×C4⋊C4C22×D4311yescharacteristic
444C2×C4⋊C4C22×D4311yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—431no—
447C2×C22⋊C4—431no—
448C2×C22⋊C4—861no—
449C2×C22⋊C4—861no—
450C2×C22⋊C4—861no—
451C2×C22⋊C4—861no—
452C2×C22⋊C4—861no—
453C2×C42—21no—
454C2×C42—431no—
455C2×C42—861no—
456C2×C42—861no—
457C2×C42—861no—
458#107—22no—
459#107—22no—
460#107—862no—
461#107—862no—
462#107—1721no—
463#107—1721no—
464#106—22no—
465#106—862no—
466#106—862no—
467#106C22⋊D4314yescomplemented
468C4⋊C8—434no—
469C22⋊C8—434no—
470C22⋊C8—434no—
471C4×C8—434no—
472#95—861no—
473#95—861no—
474#95—861no—
475#95—861no—
476#95—861no—
477#95—861no—
478C24—431no—
479C24D4×D4311yescharacteristic
480C2×D4—434no—
481C2×D4—862no—
482C2×D4—862no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—81no—
494C22×C4—431no—
495C22×C4—431no—
496C22×C4—431no—
497C22×C4—432no—
498C22×C4—432no—
499C22×C4—861no—
500C22×C4—861no—
501C22×C4—861no—
502C22×C4—861no—
503C22×C4—861no—
504C22×C4—861no—
505C22×C4—861no—
506C22×C4—861no—
507C22×C4—3441no—
508C22×C4—1722no—
509C22×C4—1722no—
510C22×C4C2×C4×D4312yes—
511C22×C4D4×D4311yescharacteristic
512C22×C4Q8×D4312yes—
513C22×C4C23×D4311yescharacteristic
514M16—28no—
515M16—868no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—432no—
519C2×C8—432no—
520C2×C8—861no—
521C2×C8—861no—
522C2×C8—861no—
523C2×C8—861no—
524C2×C8C2×C4×D4312yes—
525C2×C8C2×C4×D4312yes—
526C2×C8#1062189812yes—
527C2×C8C2×C22⋊D4312yes—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—434no—
536C4⋊C4—861no—
537C4⋊C4—861no—
538C4⋊C4—861no—
539C4⋊C4—861no—
540C4⋊C4—861no—
541C4⋊C4—861no—
542C4⋊C4—861no—
543C4⋊C4—861no—
544C4⋊C4—3441no—
545C4⋊C4—3441no—
546C4⋊C4—1722no—
547C4⋊C4—1722no—
548C4⋊C4—1722no—
549C4⋊C4C2×C22⋊D4312yes—
550C4⋊C4C2×C22⋊D4312yes—
551C22⋊C4—42no—
552C22⋊C4—434no—
553C22⋊C4—434no—
554C22⋊C4—3441no—
555C22⋊C4—3441no—
556C22⋊C4—1722no—
557C22⋊C4—1722no—
558C22⋊C4—1722no—
559C42—42no—
560C42—432no—
561C42—432no—
562C42—1722no—
563C42—1722no—
564C42—1722no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—432no—
572C23—861no—
573C23—861no—
574C23—861no—
575C23—861no—
576C23—861no—
577C23—861no—
578C23C4⋊C4×D4312yes—
579C23C2×D4×D4311yescharacteristic
580D4—868no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—84no—
600C2×C4—432no—
601C2×C4—432no—
602C2×C4—432no—
603C2×C4—432no—
604C2×C4—432no—
605C2×C4—861no—
606C2×C4—861no—
607C2×C4—861no—
608C2×C4—861no—
609C2×C4—862no—
610C2×C4—862no—
611C2×C4—862no—
612C2×C4—862no—
613C2×C4—3444no—
614C2×C4—1721no—
615C2×C4—1721no—
616C2×C4—1721no—
617C2×C4—1721no—
618C2×C4—1721no—
619C2×C4—1721no—
620C2×C4—1721no—
621C2×C4—1721no—
622C2×C4—1721no—
623C2×C4—1721no—
624C2×C4—1721no—
625C2×C4—1721no—
626C2×C4C4⋊C4×D4312yes—
627C2×C4C22×C4×D4311yescharacteristic
628C2×C4C22×C22⋊D4311yescharacteristic
629C2×C4C2×Q8×D4311yescharacteristic
630C2×C4C2×#1062189811yescharacteristic
631C2×C4#1306337011yescharacteristic
632C2×C4#1306337311yescharacteristic
633C8—22no—
634C8—862no—
635C8—862no—
636C8C4×C22⋊D4314yescomplemented
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—862no—
645C22—862no—
646C22—862no—
647C22—1721no—
648C22—1721no—
649C22—1721no—
650C22—1721no—
651C22C2×C4⋊C4×D4311yescharacteristic
652C22D4×C22⋊D4311yescharacteristic
653C22#1458355011yescharacteristic
654C22AGL(1,ℤ/8)×D4311yescharacteristic
655C22#137×D4311yescharacteristic
656C22#1458370311yescharacteristic
657C22#1458371511yescharacteristic
658C4—22no—
659C4—42no—
660C4—42no—
661C4—81no—
662C4—81no—
663C4—434no—
664C4—862no—
665C4—862no—
666C4—3441no—
667C4—3441no—
668C4—3441no—
669C4—3441no—
670C4C2×C4×C22⋊D4311yescharacteristic
671C4#1458338011yescharacteristic
672C4Q8×C22⋊D4311yescharacteristic
673C4#1458360411yescharacteristic
674C2—42no—
675C2—1722no—
676C2C4⋊C4×C22⋊D4311yescharacteristic
677C2#428×D4311yescharacteristic
678C2#1914319411yescharacteristic
679C2#1914620911yescharacteristic
680C2#1914623511yescharacteristic
681C2#1914717511yescharacteristic
682C2#1914721711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#428C2
socleC23×C43C22×D4
prime radicalC22×C22⋊D43D4
cosocleC22×C4×C43C24
hypercenterC2×#428D43
hypocenterC43#22665
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#14582938C2semidirect
5. #19135355C2semidirect
6. #19135350C2semidirect
7. #19134794C2semidirect
8. #19134793C2semidirect
9. #19134783C2semidirect
10. #19134781C2semidirect
11. #19134753C2semidirect
12. #19134629C2semidirect
13. #19134628C2semidirect
14. #106×Dic43C2semidirect
15. C2×C43×#428C2semidirect
21. #14582975C4semidirect
67. C2×#10621872C2×C4semidirect
104. Dic43⋊C8C2×C4semidirect
105. C22⋊(C43⋊C8)C2×C4semidirect
106. (C2×D43)⋊C8C2×C4semidirect
107. C8×Dic43C2×C4semidirect
118. C2×M16×C43C2×C4semidirect
135. #106×C43D4semidirect
292. C8×C43C4×D4semidirect
332. Dic43#428semidirect
335. C2×#428D43semidirect
403. C43#22665semidirect
414. C2×M16C4×D43semidirect
467. #106C22⋊D43semidirect
636. C8C4×C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145829752
C2×#145829382
#191375452
C4⋊C4×C22⋊D432
#191353552
#191353502
#191347942
#191347932
#191347832
#191347812
#191347532
#191346292
#191346282
#106×Dic432
C2×C43×#4282
#2266543