Finite Group Databasebeta

← #25023191

Subgroups — #25023191

Order 11008.

2086 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063303C211yesmaximal, characteristic
2C2×#14582756C211yesmaximal, characteristic
3C2×#95×D43C211yesmaximal, characteristic
4#19132865C212yesmaximal, complemented
5#19132861C212yesmaximal, complemented
6#19132849C211yesmaximal, characteristic, complemented
7#19132848C211yesmaximal, characteristic, complemented
8#19132845C211yesmaximal, characteristic, complemented
9(C2×D43)⋊#95C212yesmaximal
10(C2×D43)⋊#95C212yesmaximal
11C43×#1441C211yesmaximal, characteristic, complemented
12C23×Dic86C2211yescharacteristic
13C23×C4×D43C2212yes—
14C23×C4×D43C2211yescharacteristic
15C2×#13063303—24no—
16C2×#13063303—24no—
17C2×#13063303C418yescomplemented
18C22×C4⋊Dic43C2211yescharacteristic
19C22×Dic43⋊C4C2211yescharacteristic
20C22×Dic43⋊C4C2211yescharacteristic
21C22×(C2×D43)⋊C4C2212yes—
22C22×(C2×D43)⋊C4C2211yescharacteristic
23C22×(C2×D43)⋊C4C2211yescharacteristic
24#14582756—24no—
25C2×C43⋊#95C2211yescharacteristic
26C2×C43⋊#95C2212yes—
27C2×C43⋊#95C2212yes—
28C2×C43⋊#95C2212yes—
29C2×C43⋊#95C2212yes—
30C2×C43⋊#95C2212yes—
31C2×C43⋊#95C2212yes—
32C2×C43⋊#95C2212yes—
33C2×C43⋊#95C2212yes—
34#95×D43—24no—
35C22×C4⋊C4×C43C2211yescharacteristic
36C22×C4⋊C4×C43C2211yescharacteristic
37C2×#95×C43C2211yescharacteristic
38C2×#95×C43C2212yes—
39C2×#95×C43C2212yes—
40C24×D43C2311yescharacteristic
41C22×Dic86—22no—
42C22×Dic86—22no—
43C22×Dic86—42no—
44C22×Dic86—42no—
45C22×Dic86C2×C414yescomplemented
46C23×Dic43C2312yes—
47C23×Dic43C2311yescharacteristic
48C23×Dic43C2311yescharacteristic
49C23×Dic43C2312yes—
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×D43—42no—
58C22×C4×D43—42no—
59C22×C4×D43C2×C414yes—
60C22×C4×D43D414yes—
61C22×C4×D43D414yes—
62C22×C4×D43Q818yescomplemented
63#13063303—232no—
64C2×C4⋊Dic43—22no—
65C2×C4⋊Dic43—42no—
66C2×Dic43⋊C4—22no—
67C2×Dic43⋊C4—22no—
68C2×Dic43⋊C4—22no—
69C2×Dic43⋊C4—22no—
70C2×Dic43⋊C4C2×C414yescomplemented
71C2×Dic43⋊C4C2×C414yescomplemented
72C2×(C2×D43)⋊C4—22no—
73C2×(C2×D43)⋊C4—22no—
74C2×(C2×D43)⋊C4—22no—
75C2×(C2×D43)⋊C4—22no—
76C2×(C2×D43)⋊C4—24no—
77C2×(C2×D43)⋊C4—24no—
78C2×(C2×D43)⋊C4—24no—
79C2×(C2×D43)⋊C4C2×C414yes—
80C2×(C2×D43)⋊C4C2×C414yes—
81C43⋊#95—22no—
82C43⋊#95—24no—
83C43⋊#95—24no—
84C43⋊#95—42no—
85C43⋊#95—42no—
86C43⋊#95—42no—
87C43⋊#95—42no—
88C43⋊#95—42no—
89C43⋊#95—42no—
90C23×C4×C43C2312yes—
91C23×C4×C43C2311yescharacteristic
92C23×C4×C43C2311yescharacteristic
93C23×C4×C43C2312yes—
94C23×C4×C43C2311yescharacteristic
95C2×C4⋊C4×C43—22no—
96C2×C4⋊C4×C43—22no—
97C2×C4⋊C4×C43—22no—
98C2×C4⋊C4×C43—42no—
99C2×C4⋊C4×C43C2×C414yescomplemented
100#95×C43—22no—
101#95×C43—42no—
102#95×C43—42no—
103C24×C43C2411yescharacteristic
104C23×D43—22no—
105C23×D43—22no—
106C23×D43—21no—
107C23×D43—21no—
108C23×D43—21no—
109C23×D43—21no—
110C23×D43C22×C412yes—
111C23×D43C2×D412yes—
112C23×D43C2×D412yes—
113C23×D43C2×Q814yes—
114C23×D43#4114yes—
115C22×C4×C43—22no—
116C22×C4×C43—21no—
117C22×C4×C43—21no—
118C22×C4×C43—21no—
119C22×C4×C43—21no—
120C22×C4×C43—22no—
121C22×C4×C43—22no—
122C22×C4×C43—22no—
123C22×C4×C43—22no—
124C22×C4×C43—22no—
125C22×C4×C43—22no—
126C22×C4×C43—21no—
127C22×C4×C43—22no—
128C22×C4×C43—22no—
129C22×C4×C43—22no—
130C22×C4×C43—21no—
131C22×C4×C43—22no—
132C22×C4×C43—22no—
133C22×C4×C43—22no—
134C22×C4×C43—22no—
135C22×C4×C43—22no—
136C22×C4×C43—22no—
137C22×C4×C43—21no—
138C22×C4×C43—21no—
139C22×C4×C43—22no—
140C22×C4×C43C22×C412yes—
141C22×C4×C43C22×C412yes—
142C22×C4×C43C22×C412yes—
143C22×C4×C43C2×D412yes—
144C22×C4×C43C2×D412yes—
145C22×C4×C43C2×Q814yes—
146C22×Dic43—22no—
147C22×Dic43—21no—
148C22×Dic43—21no—
149C22×Dic43—21no—
150C22×Dic43—21no—
151C22×Dic43—22no—
152C22×Dic43—22no—
153C22×Dic43—22no—
154C22×Dic43—22no—
155C22×Dic43—22no—
156C22×Dic43—22no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43—22no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—22no—
163C22×Dic43—22no—
164C22×Dic43—22no—
165C22×Dic43—22no—
166C22×Dic43—22no—
167C22×Dic43—22no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—22no—
171C22×Dic43C22×C412yes—
172C22×Dic43C22×C412yes—
173C22×Dic43C22×C412yes—
174C22×Dic43C2×D412yes—
175C22×Dic43C2×D412yes—
176C22×Dic43C2×Q814yes—
177C2×C4×D43—216no—
178C2×C4×D43—48no—
179C2×C4×D43—48no—
180C2×C4×D43—44no—
181C2×C4×D43—44no—
182C2×C4×D43—48no—
183C2×C4×D43—48no—
184C2×C4×D43—48no—
185C2×C4×D43—48no—
186C2×C4×D43—48no—
187C2×C4×D43—48no—
188C2×C4×D43C22⋊C4116yes—
189C2×Dic86—28no—
190C2×Dic86—48no—
191C2×Dic86—48no—
192C2×Dic86—44no—
193C2×Dic86—44no—
194C4⋊C4×C43—28no—
195C4⋊C4×C43—44no—
196(C2×D43)⋊C4—28no—
197(C2×D43)⋊C4—28no—
198(C2×D43)⋊C4—48no—
199C4⋊Dic43—44no—
200Dic43⋊C4—28no—
201Dic43⋊C4—28no—
202C23×C43C23×C411yescharacteristic
203C23×C43C22×D411yescharacteristic
204C23×C43C22×D411yescharacteristic
205C23×C43C22×Q812yes—
206C23×C43C2×#4112yes—
207C23×C43H(5,𝔽2)12yes—
208C23×C43H(5,𝔽2)11yescharacteristic
209C23×C43H(5,𝔽2)12yes—
210C23×C43H(5,𝔽2)11yescharacteristic
211C23×C432−1+411yescharacteristic
212C23×C432−1+411yescharacteristic
213C22×D43—24no—
214C22×D43—22no—
215C22×D43—22no—
216C22×D43—24no—
217C22×D43—22no—
218C22×D43—22no—
219C22×D43—22no—
220C22×D43—22no—
221C22×D43—22no—
222C22×D43—22no—
223C22×D43—24no—
224C22×D43—24no—
225C22×D43—24no—
226C22×D43—24no—
227C22×D43—24no—
228C22×D43—24no—
229C22×D43—24no—
230C22×D43—24no—
231C22×D43C2×C22⋊C414yes—
232C22×D43C4×Q818yes—
233C22×D43C22⋊Q818yes—
234C22×D43#12414yes—
235C22×D43C4⋊Q814yes—
236C2×C4×C43—24no—
237C2×C4×C43—22no—
238C2×C4×C43—22no—
239C2×C4×C43—24no—
240C2×C4×C43—22no—
241C2×C4×C43—22no—
242C2×C4×C43—24no—
243C2×C4×C43—22no—
244C2×C4×C43—22no—
245C2×C4×C43—24no—
246C2×C4×C43—24no—
247C2×C4×C43—24no—
248C2×C4×C43—42no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—42no—
252C2×C4×C43—42no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—42no—
258C2×C4×C43—42no—
259C2×C4×C43—42no—
260C2×C4×C43—42no—
261C2×C4×C43—42no—
262C2×C4×C43—42no—
263C2×C4×C43—42no—
264C2×C4×C43—42no—
265C2×C4×C43—42no—
266C2×C4×C43C2×C22⋊C414yes—
267C2×Dic43—24no—
268C2×Dic43—24no—
269C2×Dic43—22no—
270C2×Dic43—22no—
271C2×Dic43—22no—
272C2×Dic43—22no—
273C2×Dic43—24no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—24no—
277C2×Dic43—24no—
278C2×Dic43—24no—
279C2×Dic43—42no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—42no—
283C2×Dic43—42no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—42no—
289C2×Dic43—42no—
290C2×Dic43—42no—
291C2×Dic43—42no—
292C2×Dic43—42no—
293C2×Dic43—42no—
294C2×Dic43—42no—
295C2×Dic43—42no—
296C2×Dic43—42no—
297C2×Dic43C2×C22⋊C414yes—
298C4×D43—416no—
299C4×D43—432no—
300Dic86—416no—
301#14281—431nomaximal, Sylow
302C22×C43C22×C22⋊C411yescharacteristic
303C22×C43C2×C4×Q812yes—
304C22×C43#51812yes—
305C22×C43#52011yescharacteristic
306C22×C43#52011yescharacteristic
307C22×C43C2×C22⋊Q812yes—
308C22×C43C2×#12411yescharacteristic
309C22×C43C2×C4⋊Q811yescharacteristic
310C22×C43#53412yes—
311C22×C43#53411yescharacteristic
312C22×C43#53411yescharacteristic
313C22×C43#53511yescharacteristic
314C22×C43#53611yescharacteristic
315C22×C43#53711yescharacteristic
316C22×C43#53711yescharacteristic
317C22×C43#53812yes—
318C22×C43#53812yes—
319C22×C43#53912yes—
320C22×C43#53912yes—
321C22×C43#54312yes—
322C22×C43#54312yes—
323C22×C43#54412yes—
324C22×C43#54412yes—
325C2×D43—24no—
326C2×D43—24no—
327C2×D43—28no—
328C2×D43—28no—
329C2×D43—28no—
330C2×D43—28no—
331C2×D43—24no—
332C2×D43—24no—
333C2×D43—24no—
334C2×D43—24no—
335C2×D43#39118yes—
336C4×C43—24no—
337C4×C43—42no—
338C4×C43—42no—
339C4×C43—44no—
340C4×C43—82no—
341Dic43—24no—
342Dic43—42no—
343Dic43—42no—
344Dic43—44no—
345Dic43—82no—
346C22×C22⋊Q8—431no—
347C2×#380—431no—
348C22×#95—431no—
349#1446—432no—
350#1445—432no—
351#1441—431no—
352#1441—431no—
353#1441—431no—
354#1441D4311yescharacteristic, complemented
355C22⋊#95—432no—
356C22⋊#95—432no—
357C2×C43C2×#39111yescharacteristic
358C2×C43#230811yescharacteristic
359C2×C43#231111yescharacteristic
360C2×C43#232912yes—
361C2×C43#232912yes—
362C2×C43#262612yes—
363C2×C43#262712yes—
364C2×C43#263911yescharacteristic
365C2×C43#263911yescharacteristic
366C2×C43#265911yescharacteristic
367C2×C43#265911yescharacteristic
368D43—28no—
369C23×Q8—431no—
370C24×C4—431no—
371C24×C4—432no—
372C2×C22⋊Q8—438no—
373C2×C22⋊Q8—864no—
374C2×C22⋊Q8—864no—
375C22×C4⋊C4—431no—
376C22×C4⋊C4—431no—
377C22×C4⋊C4—431no—
378C22×C4⋊C4C2×D4311yescharacteristic
379C22×C4⋊C4C2×D4311yescharacteristic
380C22×C22⋊C4—431no—
381C22×C22⋊C4—431no—
382C22×C22⋊C4—432no—
383#380—864no—
384C2×#95—431no—
385C2×#95—432no—
386C2×#95—432no—
387C2×#95—432no—
388C2×#95—432no—
389C2×#95—432no—
390C2×#95—432no—
391C2×#95—432no—
392C2×#95—432no—
393C2×#95—864no—
394C2×#95C2×D4311yescharacteristic
395C2×#95C2×D4312yes—
396C2×#95C2×D4312yes—
397C43#1428111yescharacteristic, complemented, Sylow
398C25—431no—
399C22×Q8—434no—
400C22×Q8—862no—
401C22×Q8—862no—
402C22×Q8—1722no—
403C22×Q8—1722no—
404C23×C4—431no—
405C23×C4—434no—
406C23×C4—434no—
407C23×C4—434no—
408C23×C4—431no—
409C23×C4—431no—
410C23×C4—432no—
411C23×C4—438no—
412C23×C4—432no—
413C23×C4—864no—
414C23×C4—864no—
415C23×C4—1722no—
416C23×C4—1722no—
417C23×C4—1722no—
418C23×C4—1722no—
419C23×C4—1722no—
420C23×C4—1722no—
421C23×C4C22×D4312yes—
422C23×C4C22×D4311yescharacteristic
423C23×C4C22×D4311yescharacteristic
424C23×C4C22×D4312yes—
425C23×C4C22×D4311yescharacteristic
426C22⋊Q8—8632no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4—22no—
429C2×C4⋊C4—22no—
430C2×C4⋊C4—42no—
431C2×C4⋊C4—434no—
432C2×C4⋊C4—434no—
433C2×C4⋊C4—862no—
434C2×C4⋊C4—862no—
435C2×C4⋊C4—862no—
436C2×C4⋊C4—862no—
437C2×C4⋊C4—862no—
438C2×C4⋊C4—1722no—
439C2×C4⋊C4C4×D4314yescomplemented
440C2×C22⋊C4—434no—
441C2×C22⋊C4—434no—
442C2×C22⋊C4—862no—
443C2×C22⋊C4—862no—
444C2×C22⋊C4—862no—
445C2×C22⋊C4—862no—
446C2×C22⋊C4—864no—
447C2×C22⋊C4—864no—
448C2×C22⋊C4—864no—
449#95—22no—
450#95—42no—
451#95—42no—
452#95—864no—
453#95—864no—
454#95—862no—
455#95—1722no—
456#95—1722no—
457#95—1722no—
458#95—1722no—
459#95—1722no—
460#95—1722no—
461C24—432no—
462C24—432no—
463C24—432no—
464C24—434no—
465C24—434no—
466C24—862no—
467C24—861no—
468C24—862no—
469C24—861no—
470C24—861no—
471C24—861no—
472C24C23×D4311yescharacteristic
473C2×Q8—868no—
474C2×Q8—1728no—
475C2×Q8—1728no—
476C2×Q8—1724no—
477C2×Q8—1724no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—432no—
504C22×C4—432no—
505C22×C4—432no—
506C22×C4—4316no—
507C22×C4—432no—
508C22×C4—432no—
509C22×C4—434no—
510C22×C4—8616no—
511C22×C4—862no—
512C22×C4—862no—
513C22×C4—862no—
514C22×C4—861no—
515C22×C4—861no—
516C22×C4—861no—
517C22×C4—861no—
518C22×C4—862no—
519C22×C4—861no—
520C22×C4—862no—
521C22×C4—862no—
522C22×C4—862no—
523C22×C4—861no—
524C22×C4—862no—
525C22×C4—862no—
526C22×C4—862no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—862no—
530C22×C4—862no—
531C22×C4—862no—
532C22×C4—862no—
533C22×C4—862no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—1728no—
537C22×C4—1728no—
538C22×C4—1724no—
539C22×C4—1724no—
540C22×C4—1728no—
541C22×C4—1728no—
542C22×C4—1728no—
543C22×C4—1728no—
544C22×C4—1728no—
545C22×C4—1728no—
546C22×C4C2×C4×D4312yes—
547C22×C4C2×C4×D4312yes—
548C22×C4C2×C4×D4312yes—
549C22×C4D4×D4312yes—
550C22×C4D4×D4312yes—
551C22×C4Q8×D4314yes—
552C4⋊C4—28no—
553C4⋊C4—44no—
554C4⋊C4—868no—
555C4⋊C4—868no—
556C4⋊C4—1724no—
557C22⋊C4—868no—
558C22⋊C4—868no—
559C22⋊C4—1728no—
560C23—434no—
561C23—438no—
562C23—438no—
563C23—434no—
564C23—434no—
565C23—864no—
566C23—862no—
567C23—862no—
568C23—864no—
569C23—862no—
570C23—862no—
571C23—862no—
572C23—862no—
573C23—862no—
574C23—862no—
575C23—864no—
576C23—864no—
577C23—864no—
578C23—864no—
579C23—864no—
580C23—864no—
581C23—864no—
582C23—864no—
583C23C22×C4×D4311yescharacteristic
584C23C2×D4×D4311yescharacteristic
585C23C2×D4×D4311yescharacteristic
586C23C2×Q8×D4312yes—
587C23#41×D4312yes—
588C23#1306337012yes—
589C23#1306337011yescharacteristic
590C23#1306337112yes—
591C23#1306337111yescharacteristic
592C23#1306337211yescharacteristic
593C23#1306337311yescharacteristic
594Q8—17216no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—24no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—434no—
626C2×C4—864no—
627C2×C4—864no—
628C2×C4—862no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—864no—
633C2×C4—862no—
634C2×C4—862no—
635C2×C4—864no—
636C2×C4—864no—
637C2×C4—864no—
638C2×C4—17216no—
639C2×C4—17232no—
640C2×C4—1722no—
641C2×C4—1722no—
642C2×C4—1722no—
643C2×C4—1722no—
644C2×C4—1722no—
645C2×C4—1722no—
646C2×C4—1722no—
647C2×C4—1722no—
648C2×C4—1722no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1722no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1722no—
657C2×C4—1722no—
658C2×C4C22⋊C4×D4314yes—
659C22—438no—
660C22—868no—
661C22—868no—
662C22—868no—
663C22—868no—
664C22—864no—
665C22—864no—
666C22—864no—
667C22—864no—
668C22—864no—
669C22—864no—
670C22C2×C22⋊C4×D4311yescharacteristic
671C22C4×Q8×D4312yes—
672C22#1458337112yes—
673C22#1458337911yescharacteristic
674C22#1458338011yescharacteristic
675C22C22⋊Q8×D4312yes—
676C22#124×D4311yescharacteristic
677C22C4⋊Q8×D4311yescharacteristic
678C22#1458345712yes—
679C22#1458345911yescharacteristic
680C22#1458346011yescharacteristic
681C22#1458346511yescharacteristic
682C22#1458347211yescharacteristic
683C22#1458347811yescharacteristic
684C22#1458347911yescharacteristic
685C22#1458348112yes—
686C22#1458348812yes—
687C22#1458349212yes—
688C22#1458349712yes—
689C22#1458352412yes—
690C22#1458352412yes—
691C22#1458352612yes—
692C22#1458352912yes—
693C4—24no—
694C4—44no—
695C4—42no—
696C4—42no—
697C4—82no—
698C4—864no—
699C4—3442no—
700C4—1724no—
701C4—1722no—
702C4—1722no—
703C2—868no—
704C2#391×D4311yescharacteristic
705C2#1913716911yescharacteristic
706C2#1913718411yescharacteristic
707C2#1913732212yes—
708C2#1913732912yes—
709C2#1914040512yes—
710C2#1914041312yes—
711C2#1914052611yescharacteristic
712C2#1914052711yescharacteristic
713C2#1914070811yescharacteristic
714C2#1914071011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC43×#1441C2
socle, cosocleC24×C43C24
prime radicalC24×D43C23
hypercenter#1441D43
hypocenterC43#14281
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
4. #19132865C2semidirect
5. #19132861C2semidirect
6. #19132849C2semidirect
7. #19132848C2semidirect
8. #19132845C2semidirect
11. C43×#1441C2semidirect
17. C2×#13063303C4semidirect
45. C22×Dic86C2×C4semidirect
62. C22×C4×D43Q8semidirect
70. C2×Dic43⋊C4C2×C4semidirect
71. C2×Dic43⋊C4C2×C4semidirect
99. C2×C4⋊C4×C43C2×C4semidirect
354. #1441D43semidirect
397. C43#14281semidirect
439. 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×#130633032
C2×#145827562
C2×#95×D432
#191328652
#191328612
#191328492
#191328482
#191328452
(C2×D43)⋊#952
C43×#14412
#1428143