Finite Group Databasebeta

← #25027936

Subgroups — #25027936

Order 11008.

2294 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063311C211yesmaximal, characteristic
2C2×#14582803C212yesmaximal, complemented
3C2×#14582799C212yesmaximal
4C2×#14582763C211yesmaximal, characteristic, complemented
5C2×C42×Dic43C211yesmaximal, characteristic, complemented
6#19132833C211yesmaximal, characteristic, complemented
7#19132832C212yesmaximal, complemented
8#19132832C211yesmaximal, characteristic, complemented
9#19132831C211yesmaximal, characteristic, complemented
10#19132831C212yesmaximal, complemented
11C43×#1437C211yesmaximal, characteristic, complemented
12C23×Dic86C2211yescharacteristic
13C23×C22⋊D43C2211yescharacteristic
14C2×#13063311—24no—
15C2×#13063311—24no—
16C2×#13063311C418yescomplemented
17C22×Dic43⋊C4C2212yes—
18C22×C22⋊Dic43C2212yes—
19C22×C22⋊Dic43C2211yescharacteristic
20C22×(C2×D43)⋊C4C2212yes—
21C22×(C2×D43)⋊C4C2212yes—
22C22×(C2×D43)⋊C4C2211yescharacteristic
23C22×(C2×D43)⋊C4C2211yescharacteristic
24C22×C4×Dic43C2211yescharacteristic
25C22×C4×Dic43C2212yes—
26C22×C4×Dic43C2212yes—
27C22×C4×Dic43C2211yescharacteristic
28#14582803—28no—
29#14582799—28no—
30#14582763—24no—
31C2×C43⋊#95C2212yes—
32C2×C43⋊#95C2212yes—
33C2×C43⋊#95C2212yes—
34C2×C43⋊#95C2212yes—
35C2×C43⋊#95C2211yescharacteristic
36C42×Dic43—24no—
37C22×C22⋊C4×C43C2212yes—
38C22×C22⋊C4×C43C2211yescharacteristic
39C22×C42×C43C2211yescharacteristic
40C2×#95×C43C2212yes—
41C2×#95×C43C2211yescharacteristic
42C24×D43C2311yescharacteristic
43C22×Dic86—24no—
44C22×Dic86—22no—
45C22×Dic86—22no—
46C22×Dic86—24no—
47C22×Dic86C2×C414yes—
48C22×C22⋊D43—24no—
49C22×C22⋊D43—22no—
50C22×C22⋊D43—22no—
51C22×C22⋊D43—24no—
52C22×C22⋊D43C2×C414yes—
53C23×Dic43C2312yes—
54C23×Dic43C2311yescharacteristic
55C23×Dic43C2311yescharacteristic
56C23×Dic43C2312yes—
57C23×Dic43C2311yescharacteristic
58#13063311—232no—
59C2×Dic43⋊C4—24no—
60C2×Dic43⋊C4—24no—
61C2×Dic43⋊C4—24no—
62C2×C22⋊Dic43—22no—
63C2×C22⋊Dic43—22no—
64C2×C22⋊Dic43—24no—
65C2×C22⋊Dic43—24no—
66C2×C22⋊Dic43—24no—
67C2×C22⋊Dic43C2×C414yes—
68C2×(C2×D43)⋊C4—22no—
69C2×(C2×D43)⋊C4—22no—
70C2×(C2×D43)⋊C4—22no—
71C2×(C2×D43)⋊C4—22no—
72C2×(C2×D43)⋊C4—24no—
73C2×(C2×D43)⋊C4—24no—
74C2×(C2×D43)⋊C4—24no—
75C2×(C2×D43)⋊C4—24no—
76C2×(C2×D43)⋊C4—24no—
77C2×(C2×D43)⋊C4—24no—
78C2×(C2×D43)⋊C4C2×C414yes—
79C2×(C2×D43)⋊C4C2×C414yes—
80C2×C4×Dic43—22no—
81C2×C4×Dic43—24no—
82C2×C4×Dic43—24no—
83C2×C4×Dic43—24no—
84C2×C4×Dic43—24no—
85C2×C4×Dic43—24no—
86C2×C4×Dic43—24no—
87C2×C4×Dic43C2×C414yes—
88C2×C4×Dic43D418yes—
89C2×C4×Dic43D414yes—
90C2×C4×Dic43D414yes—
91C43⋊#95—24no—
92C43⋊#95—22no—
93C43⋊#95—24no—
94C43⋊#95—24no—
95C43⋊#95—24no—
96C25×C43C2311yescharacteristic
97C23×C4×C43C2312yes—
98C23×C4×C43C2311yescharacteristic
99C23×C4×C43C2311yescharacteristic
100C23×C4×C43C2312yes—
101C2×C22⋊C4×C43—22no—
102C2×C22⋊C4×C43—22no—
103C2×C22⋊C4×C43—24no—
104C2×C22⋊C4×C43—24no—
105C2×C22⋊C4×C43—24no—
106C2×C22⋊C4×C43C2×C414yes—
107C2×C42×C43—22no—
108C2×C42×C43—24no—
109#95×C43—24no—
110#95×C43—22no—
111C24×C43—21no—
112C24×C43—21no—
113C24×C43—22no—
114C24×C43—22no—
115C24×C43—22no—
116C24×C43—22no—
117C24×C43—22no—
118C24×C43—22no—
119C24×C43C22×C412yes—
120C24×C43C2411yescharacteristic
121C23×D43—21no—
122C23×D43—21no—
123C23×D43—22no—
124C23×D43—22no—
125C23×D43—22no—
126C23×D43—22no—
127C23×D43—22no—
128C23×D43—22no—
129C23×D43C22×C412yes—
130C22×C4×C43—22no—
131C22×C4×C43—22no—
132C22×C4×C43—21no—
133C22×C4×C43—21no—
134C22×C4×C43—22no—
135C22×C4×C43—22no—
136C22×C4×C43—22no—
137C22×C4×C43—22no—
138C22×C4×C43—22no—
139C22×C4×C43—22no—
140C22×C4×C43—22no—
141C22×C4×C43—22no—
142C22×C4×C43—22no—
143C22×C4×C43—22no—
144C22×C4×C43—22no—
145C22×C4×C43—22no—
146C22×C4×C43—22no—
147C22×C4×C43C22×C412yes—
148C22×C4×C43C22×C412yes—
149C22×C4×C43C2×D412yes—
150C22×C4×C43C2×D412yes—
151C22×C4×C43C2×D414yes—
152C22×C4×C43#4114yes—
153C22×C4×C43#4114yes—
154C2×C22⋊D43—28no—
155C2×C22⋊D43—216no—
156C2×C22⋊D43—48no—
157C2×C22⋊D43—44no—
158C2×C22⋊D43—44no—
159C22×Dic43—22no—
160C22×Dic43—22no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—22no—
164C22×Dic43—22no—
165C22×Dic43—22no—
166C22×Dic43—22no—
167C22×Dic43—22no—
168C22×Dic43—22no—
169C22×Dic43—22no—
170C22×Dic43—22no—
171C22×Dic43—22no—
172C22×Dic43—22no—
173C22×Dic43—22no—
174C22×Dic43—22no—
175C22×Dic43—22no—
176C22×Dic43C22×C412yes—
177C22×Dic43C22×C412yes—
178C22×Dic43C22×C412yes—
179C22×Dic43C2×D412yes—
180C22×Dic43C2×D412yes—
181C22×Dic43C2×D414yes—
182C22×Dic43C2×D412yes—
183C22×Dic43C2×D412yes—
184C22×Dic43C2×D414yes—
185C22×Dic43#4114yes—
186C22×Dic43#4114yes—
187C22×Dic43#4114yes—
188C2×Dic86—28no—
189C2×Dic86—216no—
190C2×Dic86—48no—
191C2×Dic86—44no—
192C2×Dic86—44no—
193C22⋊C4×C43—28no—
194C22⋊C4×C43—48no—
195C42×C43—28no—
196C22⋊Dic43—28no—
197C22⋊Dic43—48no—
198(C2×D43)⋊C4—28no—
199(C2×D43)⋊C4—28no—
200(C2×D43)⋊C4—48no—
201(C2×D43)⋊C4—48no—
202Dic43⋊C4—48no—
203C4×Dic43—216no—
204C4×Dic43—28no—
205C4×Dic43—216no—
206C4×Dic43C22⋊C4116yescomplemented
207C23×C43—22no—
208C23×C43—24no—
209C23×C43—24no—
210C23×C43—22no—
211C23×C43—22no—
212C23×C43—42no—
213C23×C43—41no—
214C23×C43—41no—
215C23×C43—42no—
216C23×C43—42no—
217C23×C43—42no—
218C23×C43—41no—
219C23×C43—42no—
220C23×C43—42no—
221C23×C43—42no—
222C23×C43—42no—
223C23×C43—41no—
224C23×C43—42no—
225C23×C43—42no—
226C23×C43—42no—
227C23×C43—42no—
228C23×C43C23×C411yescharacteristic
229C23×C43C22×D411yescharacteristic
230C23×C43C22×D411yescharacteristic
231C23×C43C22×D412yes—
232C23×C43C2×#4112yes—
233C23×C43C2×#4112yes—
234C23×C43C2×#4112yes—
235C23×C43C2×#4112yes—
236C23×C43C2×#4112yes—
237C22×D43—22no—
238C22×D43—24no—
239C22×D43—24no—
240C22×D43—22no—
241C22×D43—22no—
242C22×D43—42no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—42no—
246C22×D43—42no—
247C22×D43—42no—
248C22×D43—41no—
249C22×D43—42no—
250C22×D43—42no—
251C22×D43—42no—
252C22×D43—42no—
253C22×D43—41no—
254C22×D43—42no—
255C22×D43—42no—
256C22×D43—42no—
257C22×D43—42no—
258C2×C4×C43—24no—
259C2×C4×C43—24no—
260C2×C4×C43—22no—
261C2×C4×C43—24no—
262C2×C4×C43—22no—
263C2×C4×C43—24no—
264C2×C4×C43—24no—
265C2×C4×C43—24no—
266C2×C4×C43—24no—
267C2×C4×C43—24no—
268C2×C4×C43—22no—
269C2×C4×C43—24no—
270C2×C4×C43—42no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—42no—
274C2×C4×C43—42no—
275C2×C4×C43—42no—
276C2×C4×C43—42no—
277C2×C4×C43—42no—
278C2×C4×C43—42no—
279C2×C4×C43—42no—
280C2×C4×C43C2×C22⋊C414yes—
281C2×C4×C43#12418yescomplemented
282C22⋊D43—416no—
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—24no—
286C2×Dic43—24no—
287C2×Dic43—24no—
288C2×Dic43—24no—
289C2×Dic43—24no—
290C2×Dic43—24no—
291C2×Dic43—24no—
292C2×Dic43—24no—
293C2×Dic43—22no—
294C2×Dic43—24no—
295C2×Dic43—42no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43—42no—
303C2×Dic43—42no—
304C2×Dic43—42no—
305C2×Dic43C2×C22⋊C414yes—
306C2×Dic43C2×C22⋊C414yes—
307C2×Dic43C4×D418yes—
308C2×Dic43#12118yes—
309C2×Dic43#12414yes—
310C2×Dic43#12418yescomplemented
311C2×Dic43#12714yes—
312Dic86—416no—
313#14708—431nomaximal, Sylow
314C22×C43—42no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43—44no—
318C22×C43—44no—
319C22×C43—82no—
320C22×C43—82no—
321C22×C43—82no—
322C22×C43—82no—
323C22×C43C22×C22⋊C411yescharacteristic
324C22×C43C2×C4×D412yes—
325C22×C43C4×#4112yes—
326C22×C43C4×#4111yescharacteristic
327C22×C43C4×#4111yescharacteristic
328C22×C43C2×#12112yes—
329C22×C43#52511yescharacteristic
330C22×C43#52511yescharacteristic
331C22×C43#52512yes—
332C22×C43C2×#12412yes—
333C22×C43C2×#12411yescharacteristic
334C22×C43C2×#12412yes—
335C22×C43#52912yes—
336C22×C43#52912yes—
337C22×C43#52912yes—
338C22×C43#52912yes—
339C22×C43C2×#12711yescharacteristic
340C22×C43#53212yes—
341C22×C43#53212yes—
342C22×C43#53212yes—
343C22×C43#53212yes—
344C2×D43—42no—
345C2×D43—42no—
346C2×D43—42no—
347C2×D43—44no—
348C2×D43—44no—
349C2×D43—82no—
350C2×D43—82no—
351C2×D43—82no—
352C2×D43—82no—
353C4×C43—28no—
354C4×C43—24no—
355C4×C43—42no—
356C4×C43—82no—
357Dic43—28no—
358Dic43—24no—
359Dic43—42no—
360Dic43—82no—
361Dic43#39018yes—
362C22×#124—431no—
363C2×#391—432no—
364C2×#390—432no—
365C2×#382—431no—
366C2×C43—431no—
367#1437—431no—
368#1437—432no—
369#1437—431no—
370#1437—432no—
371#1437—431no—
372#1437D4311yescharacteristic, complemented
373C2×C43—82no—
374C2×C43C2×#39011yescharacteristic
375C2×C43#229711yescharacteristic
376C2×C43#229711yescharacteristic
377C2×C43C4×#12412yes—
378C2×C43C4×#12412yes—
379C2×C43#285012yes—
380C2×C43#285012yes—
381C2×C43#285812yes—
382C2×C43#286112yes—
383D43—82no—
384C23×Q8—431no—
385C23×D4—431no—
386C2×#124—438no—
387C2×#124—864no—
388C2×#124—864no—
389C22×C4⋊C4—432no—
390C22×C22⋊C4—431no—
391C22×C22⋊C4—431no—
392C22×C22⋊C4—431no—
393C22×C22⋊C4—432no—
394C22×C22⋊C4—432no—
395C22×C22⋊C4—432no—
396C22×C22⋊C4C2×D4312yes—
397C22×C22⋊C4C2×D4311yescharacteristic
398C22×C42—431no—
399C22×C42—432no—
400C22×C42—432no—
401C22×C42—431no—
402C22×C42C2×D4311yescharacteristic
403#391—868no—
404#390—868no—
405#382—864no—
406C2×#95—432no—
407C2×#95—431no—
408C2×#95—432no—
409C2×#95—432no—
410C2×#95—432no—
411C2×#95C2×D4311yescharacteristic
412C2×#95C2×D4312yes—
413C43—864no—
414C43#1470811yescharacteristic, complemented, Sylow
415C25—431no—
416C25C22×D4311yescharacteristic
417C22×Q8—434no—
418C22×Q8—862no—
419C22×Q8—862no—
420C22×Q8—864no—
421C22×Q8—864no—
422C22×D4—434no—
423C22×D4—862no—
424C22×D4—862no—
425C22×D4—864no—
426C22×D4—864no—
427C23×C4—431no—
428C23×C4—431no—
429C23×C4—432no—
430C23×C4—431no—
431C23×C4—432no—
432C23×C4C22×D4312yes—
433C23×C4C22×D4311yescharacteristic
434C23×C4C22×D4311yescharacteristic
435C23×C4C22×D4312yes—
436#124—8632no—
437C2×C4⋊C4—864no—
438C2×C4⋊C4—864no—
439C2×C4⋊C4—864no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—434no—
446C2×C22⋊C4—434no—
447C2×C22⋊C4—434no—
448C2×C22⋊C4—862no—
449C2×C22⋊C4—862no—
450C2×C22⋊C4—862no—
451C2×C22⋊C4—862no—
452C2×C22⋊C4—862no—
453C2×C22⋊C4—862no—
454C2×C22⋊C4—864no—
455C2×C22⋊C4—864no—
456C2×C22⋊C4—864no—
457C2×C22⋊C4—864no—
458C2×C22⋊C4—864no—
459C2×C22⋊C4—864no—
460C2×C22⋊C4—864no—
461C2×C22⋊C4—864no—
462C2×C22⋊C4—864no—
463C2×C22⋊C4C4×D4314yes—
464C2×C42—22no—
465C2×C42—24no—
466C2×C42—434no—
467C2×C42—434no—
468C2×C42—434no—
469C2×C42—438no—
470C2×C42—864no—
471C2×C42—864no—
472C2×C42—864no—
473C2×C42—864no—
474C2×C42—864no—
475C2×C42—864no—
476C2×C42—862no—
477#95—22no—
478#95—24no—
479#95—864no—
480#95—864no—
481#95—864no—
482#95—862no—
483#95—864no—
484C24—21no—
485C24—21no—
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24—432no—
493C24—861no—
494C24—861no—
495C24—862no—
496C24—862no—
497C24—862no—
498C24—862no—
499C24—862no—
500C24—862no—
501C24C2×C4×D4312yes—
502C24C23×D4311yescharacteristic
503C2×Q8—868no—
504C2×Q8—8616no—
505C2×Q8—1728no—
506C2×Q8—1724no—
507C2×Q8—1724no—
508C2×D4—868no—
509C2×D4—8616no—
510C2×D4—1728no—
511C2×D4—1724no—
512C2×D4—1724no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—432no—
531C22×C4—432no—
532C22×C4—432no—
533C22×C4—434no—
534C22×C4—434no—
535C22×C4—432no—
536C22×C4—432no—
537C22×C4—434no—
538C22×C4—432no—
539C22×C4—434no—
540C22×C4—434no—
541C22×C4—432no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—862no—
545C22×C4—862no—
546C22×C4—862no—
547C22×C4—862no—
548C22×C4—862no—
549C22×C4—861no—
550C22×C4—861no—
551C22×C4—862no—
552C22×C4—862no—
553C22×C4—862no—
554C22×C4—862no—
555C22×C4—862no—
556C22×C4—862no—
557C22×C4—862no—
558C22×C4—862no—
559C22×C4C2×C4×D4312yes—
560C22×C4C2×C4×D4312yes—
561C22×C4#1062189814yes—
562C22×C4D4×D4312yes—
563C22×C4D4×D4312yes—
564C22×C4D4×D4314yes—
565C22×C4#1062190014yes—
566C4⋊C4—1728no—
567C22⋊C4—28no—
568C22⋊C4—48no—
569C22⋊C4—868no—
570C22⋊C4—868no—
571C22⋊C4—868no—
572C22⋊C4—1728no—
573C22⋊C4—1728no—
574C22⋊C4—1728no—
575C42—28no—
576C42—4316no—
577C42—8616no—
578C42—868no—
579C42—8616no—
580C23—22no—
581C23—24no—
582C23—24no—
583C23—22no—
584C23—22no—
585C23—42no—
586C23—41no—
587C23—41no—
588C23—42no—
589C23—42no—
590C23—41no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—41no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—862no—
602C23—864no—
603C23—864no—
604C23—862no—
605C23—862no—
606C23—1722no—
607C23—1721no—
608C23—1721no—
609C23—1722no—
610C23—1722no—
611C23—1721no—
612C23—1722no—
613C23—1722no—
614C23—1722no—
615C23—1722no—
616C23—1722no—
617C23—1721no—
618C23—1722no—
619C23—1722no—
620C23—1722no—
621C23—1722no—
622C23C22×C4×D4311yescharacteristic
623C23C2×D4×D4311yescharacteristic
624C23C2×D4×D4311yescharacteristic
625C23C2×D4×D4312yes—
626C23#41×D4312yes—
627C23#41×D4312yes—
628C23#41×D4312yes—
629C23C2×#1062190012yes—
630C23C2×#1062189812yes—
631Q8—17216no—
632D4—17216no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—434no—
656C2×C4—438no—
657C2×C4—438no—
658C2×C4—434no—
659C2×C4—434no—
660C2×C4—434no—
661C2×C4—438no—
662C2×C4—862no—
663C2×C4—862no—
664C2×C4—864no—
665C2×C4—864no—
666C2×C4—864no—
667C2×C4—864no—
668C2×C4—864no—
669C2×C4—864no—
670C2×C4—864no—
671C2×C4—864no—
672C2×C4—862no—
673C2×C4—864no—
674C2×C4—1722no—
675C2×C4—1722no—
676C2×C4—1722no—
677C2×C4—1722no—
678C2×C4—1722no—
679C2×C4—1722no—
680C2×C4—1722no—
681C2×C4—1722no—
682C2×C4—1721no—
683C2×C4—1721no—
684C2×C4C22⋊C4×D4314yes—
685C2×C4#1306331118yescomplemented
686C22—42no—
687C22—42no—
688C22—42no—
689C22—44no—
690C22—44no—
691C22—82no—
692C22—82no—
693C22—82no—
694C22—82no—
695C22—3442no—
696C22—3442no—
697C22—3442no—
698C22—3442no—
699C22—1722no—
700C22—1722no—
701C22—1722no—
702C22—1724no—
703C22—1724no—
704C22C2×C22⋊C4×D4311yescharacteristic
705C22C4×D4×D4312yes—
706C22C4×#1062190012yes—
707C22#1458336711yescharacteristic
708C22C4×#1062189811yescharacteristic
709C22#121×D4312yes—
710C22#1458340511yescharacteristic
711C22#1458340711yescharacteristic
712C22#1458340812yes—
713C22#124×D4311yescharacteristic
714C22#124×D4312yes—
715C22C2×#1306331112yes—
716C22#1458342612yes—
717C22#1458342712yes—
718C22#1458342912yes—
719C22#1458343212yes—
720C22#127×D4311yescharacteristic
721C22#1458344412yes—
722C22#1458344412yes—
723C22#1458344612yes—
724C22#1458344612yes—
725C4—24no—
726C4—28no—
727C4—42no—
728C4—82no—
729C4—438no—
730C4—864no—
731C4—868no—
732C4—3442no—
733C4—1722no—
734C2—82no—
735C2—3442no—
736C2#390×D4311yescharacteristic
737C2#1913708011yescharacteristic
738C2#1913708111yescharacteristic
739C2C4×#1306331112yes—
740C2#1913713612yes—
741C2#1914289212yes—
742C2#1914289312yes—
743C2#1914294912yes—
744C2#1914296412yes—
subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC43×#1437C2
socle, cosocleC24×C43C24
prime radicalC23×C22⋊D43C22
hypercenter#1437D43
hypocenterC43#14708
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ #1437

Complements

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

NH ≅ G/Ntype
2. C2×#14582803C2semidirect
4. C2×#14582763C2semidirect
5. C2×C42×Dic43C2semidirect
6. #19132833C2semidirect
7. #19132832C2semidirect
8. #19132832C2semidirect
9. #19132831C2semidirect
10. #19132831C2semidirect
11. C43×#1437C2semidirect
16. C2×#13063311C4semidirect
206. C4×Dic43C22⋊C4semidirect
281. C2×C4×C43#124semidirect
310. C2×Dic43#124semidirect
372. #1437D43semidirect
414. C43#14708semidirect
685. C2×C4#13063311semidirect

Maximal subgroups

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

subgroupindex
C22×#130633112
C2×#145828032
C2×#145827992
C2×#145827632
C2×C42×Dic432
#191328332
#191328322
#191328312
C43×#14372
#1470843