Finite Group Databasebeta

← #25023360

Subgroups — #25023360

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×D4×Dic43C211yesmaximal, characteristic
2C2×#14582785C211yesmaximal, characteristic, complemented
3C2×#14582774C212yesmaximal, complemented
4#19132860C211yesmaximal, characteristic, complemented
5#19132848C211yesmaximal, characteristic, complemented
6#19132844C212yesmaximal, complemented
7#19132840C212yesmaximal, complemented
8#19132836C211yesmaximal, characteristic
9#19132820C211yesmaximal, characteristic, complemented
10#19132817C212yesmaximal, complemented
11C2×C43×#394C211yesmaximal, characteristic
12C24×Dic43C2212yes—
13C2×D4×Dic43—28no—
14C2×D4×Dic43—24no—
15C22×C4⋊Dic43C2211yescharacteristic
16C22×C4⋊Dic43C2211yescharacteristic
17C22×C4⋊Dic43C2212yes—
18C22×C22⋊Dic43C2212yes—
19C22×C22⋊Dic43C2212yes—
20C22×C22⋊Dic43C2212yes—
21C22×C4×Dic43C2211yescharacteristic
22#14582785—24no—
23#14582774—28no—
24C2×C43⋊#95C2211yescharacteristic
25C2×C43⋊#95C2212yes—
26C2×C43⋊#95C2211yescharacteristic
27C2×C43⋊#95C2211yescharacteristic
28C2×C43⋊#95C2211yescharacteristic
29C2×C43⋊#95C2211yescharacteristic
30C2×C43⋊#95C2212yes—
31C2×C43⋊#95C2212yes—
32C2×C43⋊#95C2212yes—
33C2×C43⋊#95C2212yes—
34C23×D4×C43C2211yescharacteristic
35C22×C4⋊C4×C43C2211yescharacteristic
36C22×C22⋊C4×C43C2212yes—
37C22×C22⋊C4×C43C2212yes—
38C43×#394C418yescomplemented
39C2×#95×C43C2211yescharacteristic
40C23×Dic43—24no—
41C23×Dic43—24no—
42C23×Dic43—42no—
43C23×Dic43—42no—
44C23×Dic43—42no—
45C23×Dic43—42no—
46C23×Dic43D418yes—
47C23×Dic43C2311yescharacteristic
48C23×Dic43C2311yescharacteristic
49C23×Dic43C2312yes—
50C23×Dic43C2311yescharacteristic
51C23×Dic43C2312yes—
52C23×Dic43C2311yescharacteristic
53D4×Dic43—232no—
54C2×C4⋊Dic43—22no—
55C2×C4⋊Dic43—24no—
56C2×C4⋊Dic43—22no—
57C2×C4⋊Dic43—24no—
58C2×C4⋊Dic43—24no—
59C2×C4⋊Dic43—42no—
60C2×C4⋊Dic43—42no—
61C2×C22⋊Dic43—24no—
62C2×C22⋊Dic43—24no—
63C2×C22⋊Dic43—24no—
64C2×C22⋊Dic43—24no—
65C2×C22⋊Dic43—24no—
66C2×C22⋊Dic43—42no—
67C2×C22⋊Dic43—42no—
68C2×C22⋊Dic43—42no—
69C2×C22⋊Dic43—42no—
70C2×C4×Dic43—24no—
71C2×C4×Dic43D414yes—
72C43⋊#95—22no—
73C43⋊#95—22no—
74C43⋊#95—22no—
75C43⋊#95—22no—
76C43⋊#95—22no—
77C43⋊#95—24no—
78C43⋊#95—24no—
79C43⋊#95—42no—
80C43⋊#95—42no—
81C43⋊#95—42no—
82C25×C43C2312yes—
83C22×D4×C43—24no—
84C22×D4×C43—24no—
85C22×D4×C43—22no—
86C22×D4×C43—22no—
87C22×D4×C43C2×C414yes—
88C23×C4×C43C2311yescharacteristic
89C23×C4×C43C2311yescharacteristic
90C23×C4×C43C2312yes—
91C23×C4×C43C2311yescharacteristic
92C2×C4⋊C4×C43—22no—
93C2×C4⋊C4×C43—22no—
94C2×C4⋊C4×C43C2×C414yescomplemented
95C2×C22⋊C4×C43—24no—
96C2×C22⋊C4×C43—24no—
97C2×C22⋊C4×C43—42no—
98C2×C22⋊C4×C43—42no—
99C2×C22⋊C4×C43C2×C418yescomplemented
100C2×C22⋊C4×C43C2×C418yescomplemented
101#95×C43C2×C414yescomplemented
102C24×C43—22no—
103C24×C43—22no—
104C24×C43—22no—
105C24×C43—22no—
106C24×C43—22no—
107C24×C43—22no—
108C24×C43—22no—
109C24×C43—22no—
110C24×C43—22no—
111C24×C43—22no—
112C24×C43—22no—
113C24×C43—22no—
114C24×C43C22×C414yes—
115C24×C43C2×D414yes—
116C24×C43#4114yes—
117C24×C43C2411yescharacteristic
118C2×D4×C43—216no—
119C2×D4×C43—28no—
120C2×D4×C43—28no—
121C2×D4×C43—28no—
122C2×D4×C43—216no—
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—21no—
133C22×C4×C43—21no—
134C22×C4×C43—21no—
135C22×C4×C43—22no—
136C22×C4×C43—22no—
137C22×C4×C43—21no—
138C22×C4×C43—22no—
139C22×C4×C43—22no—
140C22×C4×C43—21no—
141C22×C4×C43C22×C414yes—
142C22×C4×C43C22×C412yes—
143C22×C4×C43C22×C412yes—
144C22×C4×C43C22×C412yes—
145C22×C4×C43C2×D412yes—
146C22×C4×C43#4112yes—
147C22×Dic43—216no—
148C22×Dic43—22no—
149C22×Dic43—22no—
150C22×Dic43—22no—
151C22×Dic43—21no—
152C22×Dic43—22no—
153C22×Dic43—21no—
154C22×Dic43—22no—
155C22×Dic43—22no—
156C22×Dic43—22no—
157C22×Dic43—22no—
158C22×Dic43—21no—
159C22×Dic43—22no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—22no—
163C22×Dic43—22no—
164C22×Dic43—22no—
165C22×Dic43—22no—
166C22×Dic43—22no—
167C22×Dic43—22no—
168C22×Dic43—22no—
169C22×Dic43—21no—
170C22×Dic43—22no—
171C22×Dic43—21no—
172C22×Dic43—22no—
173C22×Dic43—21no—
174C22×Dic43—22no—
175C22×Dic43—21no—
176C22×Dic43—21no—
177C22×Dic43—22no—
178C22×Dic43—48no—
179C22×Dic43—48no—
180C22×Dic43—48no—
181C22×Dic43—48no—
182C22×Dic43—48no—
183C22×Dic43—48no—
184C22×Dic43C2×D412yes—
185C22×Dic43C2×D414yes—
186C22×Dic43C2×D414yes—
187C22×Dic43C2×D412yes—
188C4⋊C4×C43—28no—
189C22⋊C4×C43—216no—
190C22⋊C4×C43—48no—
191C22⋊Dic43—216no—
192C22⋊Dic43—48no—
193C22⋊Dic43—48no—
194C4⋊Dic43—28no—
195C4⋊Dic43—48no—
196C4⋊Dic43—44no—
197C4×Dic43—28no—
198C23×C43—24no—
199C23×C43—24no—
200C23×C43—24no—
201C23×C43—24no—
202C23×C43—24no—
203C23×C43—24no—
204C23×C43—24no—
205C23×C43—24no—
206C23×C43—24no—
207C23×C43—24no—
208C23×C43—24no—
209C23×C43—24no—
210C23×C43—24no—
211C23×C43—24no—
212C23×C43—24no—
213C23×C43—24no—
214C23×C43—24no—
215C23×C43—24no—
216C23×C43—42no—
217C23×C43—42no—
218C23×C43—42no—
219C23×C43—42no—
220C23×C43—42no—
221C23×C43—42no—
222C23×C43—42no—
223C23×C43—42no—
224C23×C43—42no—
225C23×C43—42no—
226C23×C43—42no—
227C23×C43—42no—
228C23×C43—42no—
229C23×C43—42no—
230C23×C43—42no—
231C23×C43—42no—
232C23×C43C4×D418yes—
233C23×C43C23×C411yescharacteristic
234C23×C43C22×D412yes—
235C23×C43C22×D411yescharacteristic
236C23×C43C2×#4112yes—
237C23×C43C2×#4111yescharacteristic
238C23×C43H(5,𝔽2)11yescharacteristic
239C23×C43H(5,𝔽2)11yescharacteristic
240C23×C43H(5,𝔽2)12yes—
241C23×C43H(5,𝔽2)11yescharacteristic
242C23×C432−1+412yes—
243C23×C432−1+411yescharacteristic
244D4×C43—232no—
245C2×C4×C43—24no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—24no—
249C2×C4×C43—24no—
250C2×C4×C43—24no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—24no—
255C2×C4×C43—22no—
256C2×C4×C43—24no—
257C2×C4×C43—41no—
258C2×C4×C43—42no—
259C2×C4×C43—41no—
260C2×C4×C43—42no—
261C2×C4×C43—41no—
262C2×C4×C43—42no—
263C2×C4×C43—41no—
264C2×C4×C43—42no—
265C2×C4×C43—42no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43C4×D414yes—
269C2×Dic43—24no—
270C2×Dic43—24no—
271C2×Dic43—22no—
272C2×Dic43—22no—
273C2×Dic43—22no—
274C2×Dic43—24no—
275C2×Dic43—24no—
276C2×Dic43—24no—
277C2×Dic43—22no—
278C2×Dic43—22no—
279C2×Dic43—432no—
280C2×Dic43—42no—
281C2×Dic43—42no—
282C2×Dic43—42no—
283C2×Dic43—42no—
284C2×Dic43—42no—
285C2×Dic43—42no—
286C2×Dic43—41no—
287C2×Dic43—42no—
288C2×Dic43—41no—
289C2×Dic43—42no—
290C2×Dic43—42no—
291C2×Dic43—42no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—42no—
296C2×Dic43—41no—
297C2×Dic43—42no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43—42no—
303C2×Dic43#12014yes—
304#14300—431nomaximal, Sylow
305C22×C43—28no—
306C22×C43—28no—
307C22×C43—28no—
308C22×C43—44no—
309C22×C43—44no—
310C22×C43—44no—
311C22×C43—44no—
312C22×C43—44no—
313C22×C43—44no—
314C22×C43—44no—
315C22×C43—44no—
316C22×C43—44no—
317C22×C43—44no—
318C22×C43—44no—
319C22×C43—44no—
320C22×C43C2×C4×D412yes—
321C22×C43C2×C4×D411yescharacteristic
322C22×C43#51811yescharacteristic
323C22×C43#52011yescharacteristic
324C22×C43#52012yes—
325C22×C43C2×#12011yescharacteristic
326C22×C43#52512yes—
327C22×C43#52511yescharacteristic
328C22×C43#53412yes—
329C22×C43#53412yes—
330C22×C43#53511yescharacteristic
331C22×C43#53511yescharacteristic
332C22×C43#53611yescharacteristic
333C22×C43#53612yes—
334C22×C43#53712yes—
335C22×C43#53711yescharacteristic
336C22×C43#53812yes—
337C22×C43#53912yes—
338C22×C43#53912yes—
339C22×C43#53912yes—
340C22×C43#54011yescharacteristic
341C22×C43#54211yescharacteristic
342C22×C43#54212yes—
343C4×C43—24no—
344C4×C43—42no—
345C4×C43—44no—
346C4×C43—42no—
347Dic43—24no—
348Dic43—44no—
349Dic43—42no—
350Dic43—81no—
351Dic43—82no—
352Dic43—81no—
353C22×C4×D4—431no—
354C2×#394D4311yescharacteristic
355C2×#387—431no—
356C2×#385—432no—
357#1444—431no—
358#1441—431no—
359#1440—432no—
360#1439—432no—
361#1438—431no—
362#1434—431no—
363C22⋊#95—432no—
364C2×C43—48no—
365C2×C43C4×#12011yescharacteristic
366C2×C43#232212yes—
367C2×C43#232411yescharacteristic
368C2×C43#232512yes—
369C2×C43#232611yescharacteristic
370C2×C43#261311yescharacteristic
371C2×C43#261611yescharacteristic
372C2×C43#263012yes—
373C2×C43#263311yescharacteristic
374C2×C43#263611yescharacteristic
375C2×C43#263812yes—
376C23×D4C2×D4311yescharacteristic
377C24×C4—432no—
378C2×C4×D4—864no—
379C2×C4×D4—868no—
380C22×C4⋊C4—431no—
381C22×C4⋊C4—431no—
382C22×C4⋊C4—432no—
383C22×C4⋊C4C2×D4311yescharacteristic
384C22×C22⋊C4—432no—
385C22×C22⋊C4—432no—
386C22×C22⋊C4—432no—
387C22×C22⋊C4C2×D4312yes—
388C22×C22⋊C4C2×D4312yes—
389C22×C42—431no—
390#394Dic4318yescomplemented
391#387—864no—
392#385—868no—
393C2×#95—431no—
394C2×#95—432no—
395C2×#95—431no—
396C2×#95—431no—
397C2×#95—431no—
398C2×#95—431no—
399C2×#95—432no—
400C2×#95—432no—
401C2×#95—432no—
402C2×#95—432no—
403C2×#95C2×D4311yescharacteristic
404C43#1430011yescharacteristic, complemented, Sylow
405C25C22×D4312yes—
406C22×D4—24no—
407C22×D4—24no—
408C22×D4—22no—
409C22×D4—22no—
410C22×D4C2×Dic4314yes—
411C23×C4—431no—
412C23×C4—431no—
413C23×C4—432no—
414C23×C4—438no—
415C23×C4—431no—
416C23×C4—431no—
417C23×C4—432no—
418C23×C4—864no—
419C23×C4—864no—
420C23×C4—1722no—
421C23×C4—1722no—
422C23×C4—1722no—
423C23×C4—1722no—
424C23×C4C22×D4311yescharacteristic
425C23×C4C22×D4312yes—
426C23×C4C22×D4311yescharacteristic
427C23×C4C22×D4311yescharacteristic
428C4×D4—8632no—
429C2×C4⋊C4—22no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—864no—
432C2×C4⋊C4—862no—
433C2×C4⋊C4—864no—
434C2×C4⋊C4—864no—
435C2×C4⋊C4—862no—
436C2×C4⋊C4—1722no—
437C2×C4⋊C4—1722no—
438C2×C4⋊C4C2×Dic4314yescomplemented
439C2×C22⋊C4—24no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—42no—
442C2×C22⋊C4—42no—
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⋊C4C2×Dic4318yescomplemented
453C2×C22⋊C4C2×Dic4318yescomplemented
454C2×C42—434no—
455C2×C42—864no—
456#95—864no—
457#95—864no—
458#95—862no—
459#95—862no—
460#95—862no—
461#95—862no—
462#95—862no—
463#95—1722no—
464#95—1722no—
465#95—1722no—
466#95C2×Dic4314yescomplemented
467C24—22no—
468C24—22no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24—22no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24—22no—
478C24—22no—
479C24D4×D4314yes—
480C24#1062190014yes—
481C24C22×Dic4314yes—
482C24C23×D4311yescharacteristic
483C2×D4—28no—
484C2×D4—28no—
485C2×D4—216no—
486C2×D4—216no—
487C2×D4—28no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—21no—
506C22×C4—432no—
507C22×C4—434no—
508C22×C4—432no—
509C22×C4—434no—
510C22×C4—8616no—
511C22×C4—861no—
512C22×C4—862no—
513C22×C4—861no—
514C22×C4—862no—
515C22×C4—862no—
516C22×C4—862no—
517C22×C4—861no—
518C22×C4—862no—
519C22×C4—862no—
520C22×C4—862no—
521C22×C4—862no—
522C22×C4—862no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—862no—
526C22×C4—861no—
527C22×C4—862no—
528C22×C4—862no—
529C22×C4—862no—
530C22×C4—862no—
531C22×C4—862no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—861no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—862no—
540C22×C4—861no—
541C22×C4—1728no—
542C22×C4—1728no—
543C22×C4—1728no—
544C22×C4—1728no—
545C22×C4—1728no—
546C22×C4—1728no—
547C22×C4D4×D4312yes—
548C22×C4#1062190012yes—
549C22×C4C22×Dic4314yes—
550C22×C4C22×Dic4312yes—
551C22×C4C22×Dic4312yes—
552C22×C4C22×Dic4312yes—
553C4⋊C4—28no—
554C4⋊C4—868no—
555C4⋊C4—1724no—
556C4⋊C4—1728no—
557C22⋊C4—216no—
558C22⋊C4—48no—
559C22⋊C4—8616no—
560C22⋊C4—1728no—
561C22⋊C4—1728no—
562C42—868no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23D4×Dic4318yes—
598C23C23×Dic4311yescharacteristic
599C23C2×D4×D4312yes—
600C23C2×D4×D4311yescharacteristic
601C23C2×#1062190012yes—
602C23C2×#1062190011yescharacteristic
603C23#1306337011yescharacteristic
604C23#1306337011yescharacteristic
605C23#1306337112yes—
606C23#1306337111yescharacteristic
607C23#1306337212yes—
608C23#1306337211yescharacteristic
609D4—232no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—24no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—41no—
625C2×C4—42no—
626C2×C4—41no—
627C2×C4—42no—
628C2×C4—41no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—434no—
634C2×C4—864no—
635C2×C4—864no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—864no—
640C2×C4—864no—
641C2×C4—864no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—17232no—
645C2×C4—1721no—
646C2×C4—1722no—
647C2×C4—1721no—
648C2×C4—1722no—
649C2×C4—1722no—
650C2×C4—1722no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1722no—
655C2×C4—1721no—
656C2×C4—1722no—
657C2×C4—1722no—
658C2×C4—1722no—
659C2×C4—1722no—
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×C4D4×Dic4314yes—
669C22—28no—
670C22—28no—
671C22—28no—
672C22—44no—
673C22—44no—
674C22—44no—
675C22—44no—
676C22—44no—
677C22—44no—
678C22—44no—
679C22—44no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22C2×D4×Dic4311yescharacteristic
685C22C2×D4×Dic4312yes—
686C22#1458337411yescharacteristic
687C22#1458338211yescharacteristic
688C22#1458338212yes—
689C22#120×D4311yescharacteristic
690C22#1458340512yes—
691C22#1458340511yescharacteristic
692C22#1458345712yes—
693C22#1458346012yes—
694C22#1458346511yescharacteristic
695C22#1458346711yescharacteristic
696C22#1458346911yescharacteristic
697C22#1458347112yes—
698C22#1458347612yes—
699C22#1458347811yescharacteristic
700C22#1458348612yes—
701C22#1458349312yes—
702C22#1458349312yes—
703C22#1458349412yes—
704C22#1458350211yescharacteristic
705C22#1458351611yescharacteristic
706C22#1458351812yes—
707C4—24no—
708C4—42no—
709C4—44no—
710C4—42no—
711C4—864no—
712C4—3442no—
713C4—3441no—
714C4—3441no—
715C4—1724no—
716C4—1722no—
717C2—48no—
718C2#120×Dic4311yescharacteristic
719C2#1913726712yes—
720C2#1913729011yescharacteristic
721C2#1913730012yes—
722C2#1913730811yescharacteristic
723C2#1914030811yescharacteristic
724C2#1914032311yescharacteristic
725C2#1914043312yes—
726C2#1914046211yescharacteristic
727C2#1914049111yescharacteristic
728C2#1914051112yes—
subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC2×C43×#394C2
socle, cosocleC24×C43C24
prime radicalC23×D4×C43C22
hypercenterC2×#394D43
hypocenterC43#14300
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#394

Complements

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

NH ≅ G/Ntype
2. C2×#14582785C2semidirect
3. C2×#14582774C2semidirect
4. #19132860C2semidirect
5. #19132848C2semidirect
6. #19132844C2semidirect
7. #19132840C2semidirect
9. #19132820C2semidirect
10. #19132817C2semidirect
38. C43×#394C4semidirect
94. C2×C4⋊C4×C43C2×C4semidirect
99. C2×C22⋊C4×C43C2×C4semidirect
100. C2×C22⋊C4×C43C2×C4semidirect
101. #95×C43C2×C4semidirect
390. #394Dic43semidirect
404. C43#14300semidirect
438. C2×C4⋊C4C2×Dic43semidirect
452. C2×C22⋊C4C2×Dic43semidirect
453. C2×C22⋊C4C2×Dic43semidirect
466. #95C2×Dic43semidirect

Maximal subgroups

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

subgroupindex
C22×D4×Dic432
C2×#145827852
C2×#145827742
#191328602
#191328482
#191328442
#191328402
#191328362
#191328202
#191328172
C2×C43×#3942
#1430043