Finite Group Databasebeta

← #25023357

Subgroups — #25023357

Order 11008.

2242 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
1C22×#13063287C211yesmaximal, characteristic
2C2×#14582816C211yesmaximal, characteristic
3C2×#14582785C211yesmaximal, characteristic, complemented
4C2×#14582773C212yesmaximal, complemented
5#19132858C211yesmaximal, characteristic, complemented
6#19132843C212yesmaximal, complemented
7#19132839C212yesmaximal, complemented
8#19132835C211yesmaximal, characteristic
9#19132820C211yesmaximal, characteristic, complemented
10(C2×D43)⋊#95C212yesmaximal, complemented
11C43×#1441C211yesmaximal, characteristic, complemented
12C23×D172C2211yescharacteristic
13C23×C4×D43C2212yes—
14C2×#13063287—28no—
15C2×#13063287—24no—
16C22×C4⋊Dic43C2211yescharacteristic
17C22×Dic43⋊C4C2212yes—
18C22×(C2×D43)⋊C4C2212yes—
19C22×(C2×D43)⋊C4C2212yes—
20C22×(C2×D43)⋊C4C2212yes—
21C22×(C2×D43)⋊C4C2212yes—
22C22×(C2×D43)⋊C4C2212yes—
23C22×C4×Dic43C2211yescharacteristic
24#14582816C418yescomplemented
25#14582785—24no—
26#14582773—28no—
27C2×C43⋊#95C2211yescharacteristic
28C2×C43⋊#95C2212yes—
29C2×C43⋊#95C2211yescharacteristic
30C2×C43⋊#95C2211yescharacteristic
31C2×C43⋊#95C2211yescharacteristic
32C2×C43⋊#95C2212yes—
33C2×C43⋊#95C2212yes—
34C2×C43⋊#95C2211yescharacteristic
35C22×C4⋊C4×C43C2211yescharacteristic
36C22×C4⋊C4×C43C2211yescharacteristic
37C2×#95×C43C2211yescharacteristic
38C2×#95×C43C2212yes—
39C2×#95×C43C2212yes—
40C24×D43C2312yes—
41C22×D172—24no—
42C22×D172—24no—
43C22×D172—22no—
44C22×D172—22no—
45C22×D172C2×C414yes—
46C23×Dic43C2311yescharacteristic
47C23×Dic43C2311yescharacteristic
48C23×Dic43C2312yes—
49C23×Dic43C2311yescharacteristic
50C23×Dic43C2311yescharacteristic
51C22×C4×D43—24no—
52C22×C4×D43—24no—
53C22×C4×D43—42no—
54C22×C4×D43—42no—
55C22×C4×D43—42no—
56C22×C4×D43—42no—
57C22×C4×D43D418yes—
58#13063287—232no—
59C2×C4⋊Dic43—22no—
60C2×C4⋊Dic43—24no—
61C2×Dic43⋊C4—24no—
62C2×Dic43⋊C4—42no—
63C2×Dic43⋊C4—42no—
64C2×(C2×D43)⋊C4—24no—
65C2×(C2×D43)⋊C4—24no—
66C2×(C2×D43)⋊C4—24no—
67C2×(C2×D43)⋊C4—24no—
68C2×(C2×D43)⋊C4—24no—
69C2×(C2×D43)⋊C4—24no—
70C2×(C2×D43)⋊C4—24no—
71C2×(C2×D43)⋊C4—42no—
72C2×(C2×D43)⋊C4—42no—
73C2×(C2×D43)⋊C4—42no—
74C2×(C2×D43)⋊C4—42no—
75C2×(C2×D43)⋊C4—42no—
76C2×(C2×D43)⋊C4—42no—
77C2×(C2×D43)⋊C4C2×C418yescomplemented
78C2×(C2×D43)⋊C4C2×C418yescomplemented
79C2×C4×Dic43—24no—
80C2×C4×Dic43D414yes—
81C43⋊#95—22no—
82C43⋊#95—22no—
83C43⋊#95—22no—
84C43⋊#95—22no—
85C43⋊#95—24no—
86C43⋊#95—42no—
87C43⋊#95—42no—
88C43⋊#95C2×C414yescomplemented
89C23×C4×C43C2312yes—
90C23×C4×C43C2311yescharacteristic
91C23×C4×C43C2311yescharacteristic
92C23×C4×C43C2312yes—
93C23×C4×C43C2311yescharacteristic
94C2×C4⋊C4×C43—22no—
95C2×C4⋊C4×C43—24no—
96C2×C4⋊C4×C43—22no—
97C2×C4⋊C4×C43—22no—
98C2×C4⋊C4×C43C2×C414yescomplemented
99#95×C43—24no—
100#95×C43—22no—
101#95×C43—42no—
102C24×C43C2411yescharacteristic
103C23×D43—22no—
104C23×D43—22no—
105C23×D43—22no—
106C23×D43—22no—
107C23×D43—22no—
108C23×D43—22no—
109C23×D43—22no—
110C23×D43—22no—
111C23×D43—22no—
112C23×D43—22no—
113C23×D43—22no—
114C23×D43—22no—
115C23×D43C22×C414yes—
116C23×D43C2×D414yes—
117C23×D43#4114yes—
118C22×C4×C43—22no—
119C22×C4×C43—22no—
120C22×C4×C43—21no—
121C22×C4×C43—21no—
122C22×C4×C43—22no—
123C22×C4×C43—22no—
124C22×C4×C43—22no—
125C22×C4×C43—22no—
126C22×C4×C43—21no—
127C22×C4×C43—21no—
128C22×C4×C43—22no—
129C22×C4×C43—22no—
130C22×C4×C43—22no—
131C22×C4×C43—21no—
132C22×C4×C43—22no—
133C22×C4×C43—22no—
134C22×C4×C43—21no—
135C22×C4×C43—21no—
136C22×C4×C43—22no—
137C22×C4×C43—22no—
138C22×C4×C43—22no—
139C22×C4×C43—22no—
140C22×C4×C43—22no—
141C22×C4×C43—21no—
142C22×C4×C43—22no—
143C22×C4×C43C22×C412yes—
144C22×C4×C43C22×C412yes—
145C22×C4×C43C22×C412yes—
146C22×C4×C43C2×D414yes—
147C22×C4×C43C2×D412yes—
148C22×C4×C43#4112yes—
149C22×Dic43—22no—
150C22×Dic43—22no—
151C22×Dic43—21no—
152C22×Dic43—21no—
153C22×Dic43—22no—
154C22×Dic43—22no—
155C22×Dic43—22no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—22no—
159C22×Dic43—21no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—22no—
163C22×Dic43—22no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—22no—
167C22×Dic43—21no—
168C22×Dic43—22no—
169C22×Dic43—22no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43C22×C414yes—
173C22×Dic43C2×D412yes—
174C22×Dic43C2×D414yes—
175C22×Dic43C2×D412yes—
176C2×D172—28no—
177C2×D172—216no—
178C2×D172—28no—
179C2×D172—28no—
180C2×D172—216no—
181C2×C4×D43—216no—
182C2×C4×D43—48no—
183C2×C4×D43—48no—
184C2×C4×D43—48no—
185C2×C4×D43—48no—
186C2×C4×D43—48no—
187C2×C4×D43—48no—
188C4⋊C4×C43—28no—
189C4⋊C4×C43—28no—
190(C2×D43)⋊C4—216no—
191(C2×D43)⋊C4—216no—
192(C2×D43)⋊C4—48no—
193(C2×D43)⋊C4—48no—
194(C2×D43)⋊C4—48no—
195C4⋊Dic43—44no—
196Dic43⋊C4—48no—
197C4×Dic43—28no—
198C23×C43C23×C411yescharacteristic
199C23×C43C22×D412yes—
200C23×C43C22×D411yescharacteristic
201C23×C43C2×#4112yes—
202C23×C43C2×#4111yescharacteristic
203C23×C43H(5,𝔽2)11yescharacteristic
204C23×C43H(5,𝔽2)11yescharacteristic
205C23×C43H(5,𝔽2)11yescharacteristic
206C23×C43H(5,𝔽2)12yes—
207C23×C432−1+411yescharacteristic
208C23×C432−1+412yes—
209C22×D43—24no—
210C22×D43—24no—
211C22×D43—24no—
212C22×D43—24no—
213C22×D43—24no—
214C22×D43—24no—
215C22×D43—24no—
216C22×D43—24no—
217C22×D43—24no—
218C22×D43—24no—
219C22×D43—24no—
220C22×D43—24no—
221C22×D43—24no—
222C22×D43—24no—
223C22×D43—24no—
224C22×D43—24no—
225C22×D43—24no—
226C22×D43—24no—
227C22×D43—42no—
228C22×D43—42no—
229C22×D43—42no—
230C22×D43—42no—
231C22×D43—42no—
232C22×D43—42no—
233C22×D43—42no—
234C22×D43—42no—
235C22×D43—42no—
236C22×D43—42no—
237C22×D43—42no—
238C22×D43—42no—
239C22×D43—42no—
240C22×D43—42no—
241C22×D43—42no—
242C22×D43—42no—
243C22×D43C4×D418yes—
244C2×C4×C43—24no—
245C2×C4×C43—22no—
246C2×C4×C43—22no—
247C2×C4×C43—24no—
248C2×C4×C43—24no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—24no—
254C2×C4×C43—24no—
255C2×C4×C43—24no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—42no—
259C2×C4×C43—42no—
260C2×C4×C43—42no—
261C2×C4×C43—42no—
262C2×C4×C43—42no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—42no—
268C2×C4×C43—42no—
269C2×C4×C43—42no—
270C2×C4×C43—42no—
271C2×C4×C43—42no—
272C2×C4×C43—42no—
273C2×C4×C43—42no—
274C2×C4×C43C4×D414yes—
275C2×Dic43—24no—
276C2×Dic43—24no—
277C2×Dic43—22no—
278C2×Dic43—22no—
279C2×Dic43—24no—
280C2×Dic43—24no—
281C2×Dic43—24no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—42no—
286C2×Dic43—42no—
287C2×Dic43—42no—
288C2×Dic43—42no—
289C2×Dic43—42no—
290C2×Dic43—42no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—42no—
294C2×Dic43—42no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43#12014yes—
302D172—232no—
303C4×D43—432no—
304#14300—431nomaximal, Sylow
305C22×C43C2×C4×D412yes—
306C22×C43C2×C4×D411yescharacteristic
307C22×C43#51811yescharacteristic
308C22×C43#52011yescharacteristic
309C22×C43#52012yes—
310C22×C43C2×#12011yescharacteristic
311C22×C43#52511yescharacteristic
312C22×C43#52512yes—
313C22×C43#53412yes—
314C22×C43#53412yes—
315C22×C43#53511yescharacteristic
316C22×C43#53511yescharacteristic
317C22×C43#53612yes—
318C22×C43#53611yescharacteristic
319C22×C43#53711yescharacteristic
320C22×C43#53712yes—
321C22×C43#53812yes—
322C22×C43#53912yes—
323C22×C43#53912yes—
324C22×C43#53912yes—
325C22×C43#54011yescharacteristic
326C22×C43#54211yescharacteristic
327C22×C43#54212yes—
328C2×D43—28no—
329C2×D43—28no—
330C2×D43—28no—
331C2×D43—44no—
332C2×D43—44no—
333C2×D43—44no—
334C2×D43—44no—
335C2×D43—44no—
336C2×D43—44no—
337C2×D43—44no—
338C2×D43—44no—
339C2×D43—44no—
340C2×D43—44no—
341C2×D43—44no—
342C2×D43—44no—
343C4×C43—24no—
344C4×C43—42no—
345C4×C43—44no—
346C4×C43—42no—
347C4×C43—82no—
348Dic43—24no—
349Dic43—44no—
350Dic43—42no—
351Dic43—81no—
352Dic43—81no—
353C22×C4×D4—431no—
354C2×#394—431no—
355C2×#387—431no—
356C2×#385—432no—
357#1444—431no—
358#1441D4311yescharacteristic, complemented
359#1440—432no—
360#1439—432no—
361#1438—431no—
362#1434—431no—
363C22⋊#95—432no—
364C2×C43C4×#12011yescharacteristic
365C2×C43#232212yes—
366C2×C43#232411yescharacteristic
367C2×C43#232512yes—
368C2×C43#232611yescharacteristic
369C2×C43#261311yescharacteristic
370C2×C43#261611yescharacteristic
371C2×C43#263012yes—
372C2×C43#263311yescharacteristic
373C2×C43#263611yescharacteristic
374C2×C43#263812yes—
375D43—48no—
376C23×D4—431no—
377C24×C4—432no—
378C2×C4×D4—864no—
379C2×C4×D4—868no—
380C22×C4⋊C4—431no—
381C22×C4⋊C4—432no—
382C22×C4⋊C4C2×D4311yescharacteristic
383C22×C4⋊C4C2×D4311yescharacteristic
384C22×C22⋊C4—432no—
385C22×C22⋊C4—432no—
386C22×C22⋊C4—432no—
387C22×C22⋊C4—432no—
388C22×C22⋊C4—432no—
389C22×C42—431no—
390#394—438no—
391#387—864no—
392#385—868no—
393C2×#95—431no—
394C2×#95—431no—
395C2×#95—432no—
396C2×#95—431no—
397C2×#95—431no—
398C2×#95—431no—
399C2×#95—432no—
400C2×#95—432no—
401C2×#95C2×D4311yescharacteristic
402C2×#95C2×D4312yes—
403C2×#95C2×D4312yes—
404C43#1430011yescharacteristic, complemented, Sylow
405C25—432no—
406C22×D4—434no—
407C22×D4—864no—
408C22×D4—864no—
409C22×D4—862no—
410C22×D4—862no—
411C23×C4—431no—
412C23×C4—432no—
413C23×C4—431no—
414C23×C4—438no—
415C23×C4—431no—
416C23×C4—431no—
417C23×C4—864no—
418C23×C4—864no—
419C23×C4—1722no—
420C23×C4—1722no—
421C23×C4—1722no—
422C23×C4—1722no—
423C23×C4C22×D4312yes—
424C23×C4C22×D4311yescharacteristic
425C23×C4C22×D4311yescharacteristic
426C23×C4C22×D4312yes—
427C23×C4C22×D4311yescharacteristic
428C4×D4—8632no—
429C2×C4⋊C4—24no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—22no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—864no—
434C2×C4⋊C4—862no—
435C2×C4⋊C4—864no—
436C2×C4⋊C4—1722no—
437C2×C4⋊C4—1722no—
438C2×C4⋊C4C4×D4314yescomplemented
439C2×C22⋊C4—438no—
440C2×C22⋊C4—438no—
441C2×C22⋊C4—864no—
442C2×C22⋊C4—864no—
443C2×C22⋊C4—864no—
444C2×C22⋊C4—864no—
445C2×C22⋊C4—864no—
446C2×C22⋊C4—864no—
447C2×C22⋊C4—864no—
448C2×C22⋊C4—1722no—
449C2×C22⋊C4—1722no—
450C2×C22⋊C4—1722no—
451C2×C22⋊C4—1722no—
452C2×C22⋊C4—1722no—
453C2×C22⋊C4—1722no—
454C2×C42—434no—
455C2×C42—864no—
456#95—24no—
457#95—22no—
458#95—42no—
459#95—434no—
460#95—864no—
461#95—862no—
462#95—862no—
463#95—862no—
464#95—862no—
465#95—1722no—
466#95—1722no—
467C24—434no—
468C24—434no—
469C24—434no—
470C24—862no—
471C24—862no—
472C24—862no—
473C24—862no—
474C24—862no—
475C24—862no—
476C24—862no—
477C24—862no—
478C24—862no—
479C24—862no—
480C24—862no—
481C24—862no—
482C24C23×D4311yescharacteristic
483C2×D4—8616no—
484C2×D4—868no—
485C2×D4—868no—
486C2×D4—8616no—
487C2×D4—868no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—21no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—432no—
514C22×C4—434no—
515C22×C4—434no—
516C22×C4—432no—
517C22×C4—8616no—
518C22×C4—861no—
519C22×C4—862no—
520C22×C4—861no—
521C22×C4—862no—
522C22×C4—862no—
523C22×C4—862no—
524C22×C4—861no—
525C22×C4—862no—
526C22×C4—862no—
527C22×C4—862no—
528C22×C4—862no—
529C22×C4—862no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—862no—
534C22×C4—862no—
535C22×C4—861no—
536C22×C4—862no—
537C22×C4—861no—
538C22×C4—862no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4—1728no—
542C22×C4—1728no—
543C22×C4—1728no—
544C22×C4—1728no—
545C22×C4—1728no—
546C22×C4—1728no—
547C22×C4C2×C4×D4312yes—
548C22×C4C2×C4×D4312yes—
549C22×C4C2×C4×D4312yes—
550C22×C4D4×D4314yes—
551C22×C4D4×D4312yes—
552C22×C4#1062190012yes—
553C4⋊C4—28no—
554C4⋊C4—28no—
555C4⋊C4—1728no—
556C4⋊C4—1724no—
557C22⋊C4—8616no—
558C22⋊C4—8616no—
559C22⋊C4—1728no—
560C22⋊C4—1728no—
561C22⋊C4—1728no—
562C42—868no—
563C23—438no—
564C23—864no—
565C23—864no—
566C23—864no—
567C23—864no—
568C23—864no—
569C23—864no—
570C23—864no—
571C23—864no—
572C23—864no—
573C23—864no—
574C23—864no—
575C23—864no—
576C23—864no—
577C23—864no—
578C23—864no—
579C23—864no—
580C23—864no—
581C23—864no—
582C23—1722no—
583C23—1722no—
584C23—1722no—
585C23—1722no—
586C23—1722no—
587C23—1722no—
588C23—1722no—
589C23—1722no—
590C23—1722no—
591C23—1722no—
592C23—1722no—
593C23—1722no—
594C23—1722no—
595C23—1722no—
596C23—1722no—
597C23—1722no—
598C23C22×C4×D4311yescharacteristic
599C23C2×D4×D4312yes—
600C23C2×D4×D4311yescharacteristic
601C23#41×D4312yes—
602C23C2×#1062190011yescharacteristic
603C23#1306337011yescharacteristic
604C23#1306337111yescharacteristic
605C23#1306337111yescharacteristic
606C23#1306337112yes—
607C23#1306337311yescharacteristic
608C23#1306337312yes—
609D4—8632no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—41no—
629C2×C4—42no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—434no—
641C2×C4—864no—
642C2×C4—864no—
643C2×C4—862no—
644C2×C4—862no—
645C2×C4—864no—
646C2×C4—864no—
647C2×C4—864no—
648C2×C4—862no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—17232no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1722no—
655C2×C4—1722no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1722no—
661C2×C4—1722no—
662C2×C4—1722no—
663C2×C4—1722no—
664C2×C4—1722no—
665C2×C4—1722no—
666C2×C4—1722no—
667C2×C4—1722no—
668C2×C4(C22⋊D43)⋊C414yes—
669C22—868no—
670C22—868no—
671C22—868no—
672C22—1724no—
673C22—1724no—
674C22—1724no—
675C22—1724no—
676C22—1724no—
677C22—1724no—
678C22—1724no—
679C22—1724no—
680C22—1724no—
681C22—1724no—
682C22—1724no—
683C22—1724no—
684C22C4×D4×D4312yes—
685C22C2×(C22⋊D43)⋊C411yescharacteristic
686C22#1458337311yescharacteristic
687C22#1458338011yescharacteristic
688C22#1458338112yes—
689C22#120×D4311yescharacteristic
690C22#1458340711yescharacteristic
691C22#1458340912yes—
692C22#1458345712yes—
693C22#1458346012yes—
694C22#1458346511yescharacteristic
695C22#1458346711yescharacteristic
696C22#1458347411yescharacteristic
697C22#1458347412yes—
698C22#1458347911yescharacteristic
699C22#1458347912yes—
700C22#1458348812yes—
701C22#1458349512yes—
702C22#1458349712yes—
703C22#1458349712yes—
704C22#1458350211yescharacteristic
705C22#1458352211yescharacteristic
706C22#1458352212yes—
707C4—24no—
708C4—42no—
709C4—42no—
710C4—44no—
711C4—82no—
712C4—864no—
713C4—3441no—
714C4—3441no—
715C4—1724no—
716C4—1722no—
717C2—1728no—
718C2#1913710011yescharacteristic
719C2#1913725912yes—
720C2#1913728411yescharacteristic
721C2#1913729412yes—
722C2#1913730911yescharacteristic
723C2#1914030811yescharacteristic
724C2#1914032711yescharacteristic
725C2#1914044312yes—
726C2#1914046511yescharacteristic
727C2#1914049511yescharacteristic
728C2#1914052012yes—
subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC43×#1441C2
socle, cosocleC24×C43C24
prime radicalC23×D172C22
hypercenter#1441D43
hypocenterC43#14300
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
3. C2×#14582785C2semidirect
4. C2×#14582773C2semidirect
5. #19132858C2semidirect
6. #19132843C2semidirect
7. #19132839C2semidirect
9. #19132820C2semidirect
10. (C2×D43)⋊#95C2semidirect
11. C43×#1441C2semidirect
24. #14582816C4semidirect
77. C2×(C2×D43)⋊C4C2×C4semidirect
78. C2×(C2×D43)⋊C4C2×C4semidirect
88. C43⋊#95C2×C4semidirect
98. C2×C4⋊C4×C43C2×C4semidirect
358. #1441D43semidirect
404. C43#14300semidirect
438. C2×C4⋊C4C4×D43semidirect

Maximal subgroups

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

subgroupindex
C22×#130632872
C2×#145828162
C2×#145827852
C2×#145827732
#191328582
#191328432
#191328392
#191328352
#191328202
(C2×D43)⋊#952
C43×#14412
#1430043