Finite Group Databasebeta

← #25133219

Subgroups — #25133219

Order 11008.

1140 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583608C211yesmaximal, characteristic, complemented
2C2×#14583199C211yesmaximal, characteristic, complemented
3#19139517C211yesmaximal, characteristic, complemented
4#19135935C211yesmaximal, characteristic, complemented
5#19135926C211yesmaximal, characteristic, complemented
6#19135739C211yesmaximal, characteristic, complemented
7#19135729C211yesmaximal, characteristic, complemented
8#19135564C211yesmaximal, characteristic, complemented
9#19135535C211yesmaximal, characteristic, complemented
10#19134945C211yesmaximal, characteristic
11#19134945C211yesmaximal, characteristic
12#19134854C211yesmaximal, characteristic, complemented
13#19134840C211yesmaximal, characteristic, complemented
14#19134595C211yesmaximal, characteristic, complemented
15C2×C43×#442C211yesmaximal, characteristic
16#14583608—24no—
17#14583608—24no—
18C2×#13063324C2211yescharacteristic
19C2×#13063317C2211yescharacteristic
20C2×#13063316C2211yescharacteristic
21C2×#13063304—21no—
22C2×#13063304—21no—
23C2×#13063302—21no—
24C2×#13063302—21no—
25C2×C4×Dic86C2211yescharacteristic
26C2×D4×Dic43C2211yescharacteristic
27C2×D4×Dic43C2211yescharacteristic
28C22×Dic43⋊C4—21no—
29#14583199—24no—
30C2×#13063258C2211yescharacteristic
31C2×#13063256C2211yescharacteristic
32C2×C4⋊(C43⋊C8)C2211yescharacteristic
33C2×#13063246C2211yescharacteristic
34C2×#13063246C2211yescharacteristic
35C2×#13063246C2211yescharacteristic
36C2×#13063246C2211yescharacteristic
37#14582822—21no—
38#14582822—21no—
39#14582802C2211yescharacteristic
40#14582802C2211yescharacteristic
41#14582795C2211yescharacteristic
42#14582795C2211yescharacteristic
43#14582769C2211yescharacteristic
44#14582759—21no—
45#14582662C2211yescharacteristic
46#14582662C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C22×D8×C43C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C2×C4×D4×C43C2211yescharacteristic
58C43×#442—24no—
59C2×#106×C43C2211yescharacteristic
60C2×#102×C43C2211yescharacteristic
61C2×#102×C43C2211yescharacteristic
62C2×#97×C43C2211yescharacteristic
63C22×Dic86—21no—
64C22×Dic86D411yescharacteristic
65C23×Dic43—21no—
66C23×Dic43—21no—
67C22×C43⋊C8C2311yescharacteristic
68C22×C43⋊C8C2311yescharacteristic
69#13063324—22no—
70#13063324—22no—
71#13063317—22no—
72#13063317D414yes—
73#13063316—22no—
74#13063316—22no—
75#13063304—28no—
76#13063304—44no—
77#13063302—28no—
78#13063302—28no—
79C4×Dic86—22no—
80C4×Dic86—22no—
81D4×Dic43—22no—
82D4×Dic43—22no—
83D4×Dic43—22no—
84D4×Dic43—22no—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43—21no—
88C2×C4⋊Dic43D411yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×Dic43⋊C4—28no—
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4—21no—
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4—21no—
99C2×Dic43⋊C4—21no—
100C2×Dic43⋊C4D411yescharacteristic
101C2×Dic43⋊C4D411yescharacteristic
102C2×C22⋊Dic43—21no—
103C2×C22⋊Dic43—21no—
104C2×C22⋊Dic43—21no—
105C2×C22⋊Dic43—21no—
106C2×C22⋊Dic43—21no—
107C2×C22⋊Dic43—21no—
108C2×C4×Dic43C2311yescharacteristic
109C2×C4×Dic43C2311yescharacteristic
110#13063258—22no—
111#13063256—22no—
112C4⋊(C43⋊C8)—22no—
113#13063246—22no—
114#13063246—22no—
115#13063246—22no—
116#13063246—22no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C22×D4×C43C2311yescharacteristic
120C22×D4×C43C2311yescharacteristic
121C23×C4×C43—21no—
122C23×C4×C43—21no—
123C2×D8×C43—22no—
124C2×D8×C43—22no—
125C2×D8×C43Q814yescomplemented
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C4×D4×C43—22no—
129C4×D4×C43—22no—
130C4×D4×C43—22no—
131C4×D4×C43D414yes—
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C22⋊C4×C43—21no—
135C2×C22⋊C4×C43—21no—
136C2×C42×C43C2311yescharacteristic
137#106×C43—22no—
138#102×C43—22no—
139#102×C43—22no—
140#97×C43—22no—
141C24×C43—21no—
142C24×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43—21no—
151C2×D4×C43C2×D412yes—
152C2×D4×C43C2×Q812yes—
153C2×D4×C43C2×Q812yes—
154C2×D4×C43#4112yes—
155C22×C4×C43—24no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—42no—
159C22×C4×C43—42no—
160C22×C4×C43—42no—
161C22×C4×C43—81no—
162C22×C4×C43—81no—
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2411yescharacteristic
166C22×Dic43—24no—
167C22×Dic43—24no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43—42no—
173C22×Dic43—42no—
174C22×Dic43—81no—
175C22×Dic43—81no—
176C22×Dic43C2×D411yescharacteristic
177C22×Dic43C2×D411yescharacteristic
178C22×Dic43C2×D411yescharacteristic
179C22×Dic43C2×D411yescharacteristic
180C2×Dic86—22no—
181C2×Dic86—22no—
182C2×Dic86—24no—
183C2×Dic86—41no—
184C2×Dic86—81no—
185C2×Dic86—81no—
186D8×C43—28no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43C2×Q812yes—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43C2×D412yes—
197C22⋊C4×C43—24no—
198C22⋊C4×C43—42no—
199C42×C43C2×D412yes—
200C42×C43C2×D412yes—
201C22⋊Dic43—24no—
202C22⋊Dic43—24no—
203C22⋊Dic43—42no—
204C22⋊Dic43—42no—
205C22⋊Dic43—81no—
206C22⋊Dic43—81no—
207C4⋊Dic43—24no—
208C4⋊Dic43—22no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—42no—
216C4⋊Dic43—81no—
217C4⋊Dic43C2×D412yes—
218C4⋊Dic43C2×D412yes—
219Dic43⋊C4—24no—
220Dic43⋊C4—24no—
221Dic43⋊C4—22no—
222Dic43⋊C4—24no—
223Dic43⋊C4—24no—
224Dic43⋊C4—22no—
225Dic43⋊C4—42no—
226Dic43⋊C4—42no—
227C4×Dic43—21no—
228C4×Dic43—21no—
229C4×Dic43—21no—
230C4×Dic43—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C23×C43—22no—
238C23×C43—22no—
239C23×C43—22no—
240C23×C43—22no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43C22×D411yescharacteristic
252D4×C43—22no—
253D4×C43—22no—
254D4×C43—22no—
255D4×C43—22no—
256D4×C43—22no—
257D4×C43—41no—
258D4×C43—41no—
259D4×C43C22⋊Q814yescomplemented
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—22no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—84no—
271C2×C4×C43—84no—
272C2×C4×C43#12012yes—
273C2×C4×C43#12012yes—
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C22×D411yescharacteristic
276C2×C4×C43C22×Q811yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C432−1+411yescharacteristic
279C2×C4×C432−1+411yescharacteristic
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—48no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—84no—
305C2×Dic43AGL(1,ℤ/8)12yes—
306Dic86—44no—
307Dic86—84no—
308C8×C43—22no—
309C8×C43—41no—
310C43⋊C8—41no—
311C43⋊C8—41no—
312#24347—431nomaximal, Sylow
313C22×C43—24no—
314C22×C43—42no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—81no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43C2×#12011yescharacteristic
328C22×C43#54811yescharacteristic
329C22×C43D4×Q811yescharacteristic
330C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
331C22×C43#57511yescharacteristic
332C22×C43#57611yescharacteristic
333C22×C43#57711yescharacteristic
334C4×C43—22no—
335C4×C43—22no—
336C4×C43—42no—
337C4×C43—81no—
338C4×C43C2×C22⋊Q811yescharacteristic
339C4×C43#53611yescharacteristic
340C4×C43#54811yescharacteristic
341C4×C43D4×Q811yescharacteristic
342Dic43—22no—
343Dic43—41no—
344Dic43—42no—
345Dic43—41no—
346Dic43—42no—
347Dic43—41no—
348Dic43—81no—
349Dic43—81no—
350C2×#554—431no—
351C2×#478—431no—
352C2×#442D4311yescharacteristic
353#2538—431no—
354#2059—431no—
355#2058—431no—
356#2025—431no—
357#2023—431no—
358#1992—431no—
359#1985—431no—
360#1879—431no—
361#1879—431no—
362#1864—431no—
363#1862—431no—
364#1802—431no—
365C2×C43—44no—
366C2×C43—82no—
367C2×C43#240911yescharacteristic
368C2×C43#300611yescharacteristic
369C2×C43#301211yescharacteristic
370C2×C43#336611yescharacteristic
371C2×C43#337611yescharacteristic
372C2×C43#338411yescharacteristic
373C2×C43#338911yescharacteristic
374C22×D8C2×D4311yescharacteristic
375#554—864no—
376#554—864no—
377C2×C4⋊Q8—431no—
378C2×#125—431no—
379C2×#125—431no—
380C2×C22⋊Q8—861no—
381C2×C22⋊Q8—861no—
382C2×C22⋊Q8—861no—
383C2×C22⋊Q8—861no—
384C2×C4×Q8—431no—
385C2×C4×D4—431no—
386C2×C4×D4—431no—
387C2×C4×D4C2×D4311yescharacteristic
388C2×C4×D4C2×D4311yescharacteristic
389C22×C4⋊C4—861no—
390#478—864no—
391#442—24no—
392C2×#107—431no—
393C2×#106—431no—
394C2×#106C2×D4311yescharacteristic
395C2×C4⋊C8—431no—
396C2×#102—431no—
397C2×#102—431no—
398C2×#102—431no—
399C2×#102—431no—
400C2×#102C2×D4311yescharacteristic
401C2×#102C2×D4311yescharacteristic
402C2×#97C2×D4311yescharacteristic
403#396—861no—
404#396—861no—
405#390—431no—
406#390—431no—
407#389—431no—
408#389—431no—
409#384—431no—
410#380—861no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#336—431no—
418#336—431no—
419#336—431no—
420#336—431no—
421C43#2434711yescharacteristic, complemented, Sylow
422C22×Q8—431no—
423C22×Q8—861no—
424C22×D4C22×D4311yescharacteristic
425C22×D4C22×D4311yescharacteristic
426C23×C4—21no—
427C23×C4—21no—
428C23×C4—861no—
429C23×C4—861no—
430C2×D8—22no—
431C2×D8—22no—
432C2×D8Dic8614yescomplemented
433C22×C8—431no—
434C22×C8—431no—
435C22×C8C22×D4311yescharacteristic
436C22×C8C22×D4311yescharacteristic
437C4⋊Q8—862no—
438C4⋊Q8—862no—
439#125—434no—
440#125—862no—
441#125—862no—
442#125—862no—
443C22⋊Q8—868no—
444C22⋊Q8—868no—
445C22⋊Q8—868no—
446C22⋊Q8—1724no—
447C4×Q8—862no—
448C4×Q8—862no—
449C4×D4—22no—
450C4×D4—22no—
451C4×D4—22no—
452C4×D4—862no—
453C4×D4—862no—
454C4×D4—862no—
455C4×D4—862no—
456C4×D4C22⋊D4314yes—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—431no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—868no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4C22×D4311yescharacteristic
475C2×C4⋊C4C22×D4311yescharacteristic
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C42—431no—
485C2×C42—431no—
486C2×C42C22×D4311yescharacteristic
487#107—862no—
488#106—22no—
489#106—862no—
490C4⋊C8—862no—
491#102—22no—
492#102—22no—
493#102—862no—
494#102—862no—
495#102—862no—
496#102—862no—
497#97—22no—
498#95—861no—
499#95—861no—
500C24—21no—
501C24—21no—
502C2×Q8—862no—
503C2×Q8—864no—
504C2×Q8—862no—
505C2×Q8—3441no—
506C2×Q8—3441no—
507C2×Q8—1721no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4C2×Dic8612yes—
517C2×D4C2×Dic8612yes—
518C2×D4#1062189812yes—
519C2×D4C2×C22⋊D4312yes—
520C22×C4—21no—
521C22×C4—24no—
522C22×C4—21no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—81no—
527C22×C4—81no—
528C22×C4—431no—
529C22×C4—431no—
530C22×C4—431no—
531C22×C4—431no—
532C22×C4—864no—
533C22×C4—864no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—3441no—
539C22×C4—3441no—
540C22×C4—1722no—
541C22×C4—1722no—
542C22×C4D4×D4311yescharacteristic
543C22×C4D4×D4311yescharacteristic
544C22×C4C23×D4311yescharacteristic
545D8—28no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C2×C8—861no—
557C2×C8C2×Dic8612yes—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—432no—
562C4⋊C4—432no—
563C4⋊C4—864no—
564C4⋊C4—864no—
565C4⋊C4—864no—
566C4⋊C4—862no—
567C4⋊C4—862no—
568C4⋊C4—862no—
569C4⋊C4—864no—
570C4⋊C4—864no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—3441no—
578C4⋊C4—1722no—
579C4⋊C4—1722no—
580C4⋊C4—1722no—
581C4⋊C4C2×C22⋊D4312yes—
582C22⋊C4—24no—
583C22⋊C4—42no—
584C22⋊C4—864no—
585C22⋊C4—864no—
586C22⋊C4—3441no—
587C22⋊C4—3441no—
588C22⋊C4—1722no—
589C22⋊C4—1722no—
590C42—861no—
591C42—861no—
592C42—861no—
593C42—861no—
594C42D4×D4312yes—
595C42C2×C22⋊D4312yes—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23C2×D4×D4311yescharacteristic
611Q8—3444no—
612Q8—1724no—
613D4—22no—
614D4—22no—
615D4—22no—
616D4—22no—
617D4—22no—
618D4—41no—
619D4—41no—
620D4#1306330414yescomplemented
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—84no—
632C2×C4—84no—
633C2×C4—432no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—3444no—
648C2×C4—1728no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4#1306329312yes—
660C2×C4#1306329312yes—
661C2×C4C2×D4×D4311yescharacteristic
662C2×C4C22×C22⋊D4311yescharacteristic
663C2×C4C22×Dic8611yescharacteristic
664C2×C4C2×#1062189811yescharacteristic
665C2×C4#1306337211yescharacteristic
666C2×C4#1306337211yescharacteristic
667C8—22no—
668C8—41no—
669C8—1721no—
670C8—1721no—
671C22—24no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22C2×#1306329311yescharacteristic
686C22#1458355811yescharacteristic
687C22D4×Dic8611yescharacteristic
688C22AGL(1,ℤ/8)×D4311yescharacteristic
689C22#1458369511yescharacteristic
690C22#1458370311yescharacteristic
691C22#1458370911yescharacteristic
692C4—22no—
693C4—22no—
694C4—42no—
695C4—81no—
696C4—862no—
697C4—3441no—
698C4—3441no—
699C4—1721no—
700C4—1722no—
701C4—1721no—
702C4—1721no—
703C4—1722no—
704C4C2×#1306330411yescharacteristic
705C4#1458347011yescharacteristic
706C4#1458355811yescharacteristic
707C4D4×Dic8611yescharacteristic
708C2—44no—
709C2—82no—
710C2#1913796011yescharacteristic
711C2#1914384311yescharacteristic
712C2#1914389811yescharacteristic
713C2#1914730311yescharacteristic
714C2#1914742311yescharacteristic
715C2#1914749511yescharacteristic
716C2#1914755411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#442C2
socleC23×C43C22×D4
prime radicalC22×D8×C43C22
hypercenterC2×#442D43
hypocenterC43#24347
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. C2×#14583608C2semidirect
2. C2×#14583199C2semidirect
3. #19139517C2semidirect
4. #19135935C2semidirect
5. #19135926C2semidirect
6. #19135739C2semidirect
7. #19135729C2semidirect
8. #19135564C2semidirect
9. #19135535C2semidirect
12. #19134854C2semidirect
13. #19134840C2semidirect
14. #19134595C2semidirect
125. C2×D8×C43Q8semidirect
259. D4×C43C22⋊Q8semidirect
421. C43#24347semidirect
432. C2×D8Dic86semidirect
620. D4#13063304semidirect

Maximal subgroups

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

subgroupindex
C2×#145836082
C2×#145831992
#191395172
#191359352
#191359262
#191357392
#191357292
#191355642
#191355352
#191349452
#191348542
#191348402
#191345952
C2×C43×#4422
#2434743