Finite Group Databasebeta

← #25199405

Subgroups — #25199405

Order 11008.

952 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#121×Dic43C211yesmaximal, characteristic, complemented
2#121×Dic43C211yesmaximal, characteristic, complemented
3#19136028C211yesmaximal, characteristic, complemented
4#19135781C211yesmaximal, characteristic, complemented
5#19135774C211yesmaximal, characteristic, complemented
6#19135225C211yesmaximal, characteristic, complemented
7#19135218C211yesmaximal, characteristic, complemented
8#19135190C211yesmaximal, characteristic, complemented
9#19135183C211yesmaximal, characteristic, complemented
10#19134945C211yesmaximal, characteristic, complemented
11#19134945C211yesmaximal, characteristic, complemented
12#19134858C211yesmaximal, characteristic, complemented
13#19134858C211yesmaximal, characteristic, complemented
14#19134661C211yesmaximal, characteristic, complemented
15C43×#1999C211yesmaximal, characteristic
16C2×D4×Dic43—21no—
17C2×D4×Dic43—21no—
18C2×D4×Dic43C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C22×C4×Dic43C2211yescharacteristic
21C2×#13063258C2211yescharacteristic
22C2×#13063257C2211yescharacteristic
23C2×#13063256C2211yescharacteristic
24C2×#13063246C2211yescharacteristic
25C2×#13063246C2211yescharacteristic
26C2×#13063246C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×C22⋊(C43⋊C8)C2211yescharacteristic
29#14582802C2211yescharacteristic
30#14582802C2211yescharacteristic
31#14582798C2211yescharacteristic
32#14582798C2211yescharacteristic
33#14582792—21no—
34#14582792—21no—
35#14582779—21no—
36#14582779—21no—
37#14582759C2211yescharacteristic
38#14582759C2211yescharacteristic
39C4⋊C4×Dic43C2211yescharacteristic
40C4⋊C4×Dic43C2211yescharacteristic
41C22⋊C4×Dic43—21no—
42C22⋊C4×Dic43—21no—
43#14582662C2211yescharacteristic
44#14582662C2211yescharacteristic
45#14582662C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582653C2211yescharacteristic
49#14582653C2211yescharacteristic
50#14582653C2211yescharacteristic
51#14582653C2211yescharacteristic
52C22×D8×C43C2211yescharacteristic
53C2×#121×C43C2211yescharacteristic
54C2×#121×C43C2211yescharacteristic
55C2×#102×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×C22⋊C8×C43C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C23×Dic43—21no—
60C23×Dic43—21no—
61C23×Dic43D411yescharacteristic
62C23×Dic43D411yescharacteristic
63C22×C43⋊C8C2311yescharacteristic
64C22×C43⋊C8C2311yescharacteristic
65D4×Dic43—41no—
66D4×Dic43—41no—
67D4×Dic43—41no—
68D4×Dic43—41no—
69D4×Dic43—44no—
70D4×Dic43—44no—
71C2×C4⋊Dic43—21no—
72C2×C4⋊Dic43—21no—
73C2×C4⋊Dic43C2311yescharacteristic
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C4⋊Dic43C2311yescharacteristic
76C2×C4⋊Dic43C2311yescharacteristic
77C2×C22⋊Dic43—21no—
78C2×C22⋊Dic43—21no—
79C2×C22⋊Dic43—21no—
80C2×C22⋊Dic43—21no—
81C2×C22⋊Dic43—21no—
82C2×C22⋊Dic43—21no—
83C2×C22⋊Dic43—21no—
84C2×C22⋊Dic43—21no—
85C2×C4×Dic43—21no—
86C2×C4×Dic43—21no—
87C2×C4×Dic43—41no—
88C2×C4×Dic43—41no—
89C2×C4×Dic43D411yescharacteristic
90C2×C4×Dic43D411yescharacteristic
91C2×C4×Dic43C2311yescharacteristic
92C2×C4×Dic43C2311yescharacteristic
93#13063258—22no—
94#13063257—41no—
95#13063256—22no—
96#13063246—22no—
97#13063246—22no—
98#13063246—41no—
99#13063246—41no—
100C22⋊(C43⋊C8)—41no—
101C43⋊#95—21no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C22×D4×C43—21no—
108C22×D4×C43—21no—
109C22×D4×C43C2311yescharacteristic
110C22×D4×C43C2311yescharacteristic
111C23×C4×C43C2311yescharacteristic
112C2×D8×C43—22no—
113C2×D8×C43—22no—
114C2×D8×C43—41no—
115C22×C8×C43C2311yescharacteristic
116C22×C8×C43C2311yescharacteristic
117#121×C43—22no—
118#121×C43—22no—
119#121×C43—22no—
120#121×C43—22no—
121C2×C4⋊C4×C43C2311yescharacteristic
122C2×C4⋊C4×C43C2311yescharacteristic
123C2×C22⋊C4×C43—21no—
124C2×C22⋊C4×C43—21no—
125#102×C43—22no—
126#102×C43—22no—
127C22⋊C8×C43—41no—
128C24×C43—21no—
129C24×C43—21no—
130C24×C43C2×D411yescharacteristic
131C2×D4×C43—24no—
132C2×D4×C43—24no—
133C2×D4×C43—21no—
134C2×D4×C43—21no—
135C2×D4×C43—21no—
136C2×D4×C43—21no—
137C2×D4×C43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—42no—
144C2×D4×C43—42no—
145C2×D4×C43—42no—
146C2×D4×C43—42no—
147C2×D4×C43#4112yes—
148C2×D4×C43#4112yes—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2411yescharacteristic
159C22×Dic43—22no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—41no—
167C22×Dic43—41no—
168C22×Dic43—41no—
169C22×Dic43—42no—
170C22×Dic43—42no—
171C22×Dic43—42no—
172C22×Dic43—42no—
173C22×Dic43—42no—
174C22×Dic43—42no—
175C22×Dic43C2×D411yescharacteristic
176C22×Dic43C2×D411yescharacteristic
177C22×Dic43C2×D411yescharacteristic
178C22×Dic43C2×D411yescharacteristic
179D8×C43—44no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43—21no—
188C4⋊C4×C43#4112yes—
189C4⋊C4×C43#4112yes—
190C22⋊C4×C43—24no—
191C22⋊C4×C43—24no—
192C22⋊Dic43—42no—
193C22⋊Dic43—42no—
194C22⋊Dic43—42no—
195C22⋊Dic43—42no—
196C22⋊Dic43—42no—
197C22⋊Dic43—42no—
198C22⋊Dic43—42no—
199C22⋊Dic43—42no—
200C4⋊Dic43—21no—
201C4⋊Dic43—21no—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—42no—
209C4⋊Dic43—42no—
210C4×Dic43—21no—
211C4×Dic43—21no—
212C4×Dic43—21no—
213C4×Dic43—21no—
214C4×Dic43—41no—
215C4×Dic43—41no—
216C4×Dic43—42no—
217C4×Dic43—42no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—21no—
230C23×C43—22no—
231C23×C43—22no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43AGL(1,ℤ/8)12yes—
245C23×C43C22×D411yescharacteristic
246D4×C43—22no—
247D4×C43—22no—
248D4×C43—22no—
249D4×C43—22no—
250D4×C43—48no—
251D4×C43—48no—
252D4×C43—41no—
253D4×C43—41no—
254D4×C43—41no—
255D4×C43—41no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—21no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43C2×#4111yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C43H(5,𝔽2)11yescharacteristic
274C2×C4×C43H(5,𝔽2)11yescharacteristic
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—44no—
286C2×Dic43—44no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—84no—
300C2×Dic43—84no—
301C2×Dic43#13512yes—
302C2×Dic43AGL(1,ℤ/8)12yes—
303C8×C43—41no—
304C8×C43—41no—
305C43⋊C8—41no—
306C43⋊C8—41no—
307#29412—431nomaximal, Sylow
308C22×C43—22no—
309C22×C43—22no—
310C22×C43—22no—
311C22×C43—41no—
312C22×C43—41no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—42no—
321C22×C43—81no—
322C22×C43—81no—
323C22×C43—81no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43—81no—
329C22×C43#52511yescharacteristic
330C22×C43#52511yescharacteristic
331C22×C43#53411yescharacteristic
332C22×C43C2×#13511yescharacteristic
333C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
334C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
335C22×C43#57511yescharacteristic
336C4×C43—42no—
337C4×C43—41no—
338C4×C43—42no—
339C4×C43#55111yescharacteristic
340C4×C43#55311yescharacteristic
341C4×C43#55311yescharacteristic
342C4×C43#55911yescharacteristic
343Dic43—22no—
344Dic43—22no—
345Dic43—41no—
346Dic43—41no—
347Dic43—81no—
348Dic43—81no—
349Dic43—81no—
350Dic43—81no—
351C4×#121—431no—
352C4×#121—431no—
353#2077—431no—
354#2034—431no—
355#2033—431no—
356#1999D4311yescharacteristic
357#1926—431no—
358#1925—431no—
359#1921—431no—
360#1920—431no—
361#1879—431no—
362#1879—431no—
363#1864—431no—
364#1864—431no—
365#1817—431no—
366C2×C43—42no—
367C2×C43—82no—
368C2×C43—82no—
369C2×C43#260011yescharacteristic
370C2×C43#310211yescharacteristic
371C2×C43#310611yescharacteristic
372C2×C43#310911yescharacteristic
373C2×C43#311411yescharacteristic
374C2×C43#318811yescharacteristic
375C2×C43#319411yescharacteristic
376C22×D8C2×D4311yescharacteristic
377C2×#121C2×D4311yescharacteristic
378C2×#121C2×D4311yescharacteristic
379C2×C4×D4—431no—
380C2×C4×D4—431no—
381C2×C4×D4—861no—
382C2×C4×D4—861no—
383C22×C42—431no—
384C2×#107—431no—
385C2×#106—431no—
386C2×#106—431no—
387C2×#102—431no—
388C2×#102—431no—
389C2×#102—431no—
390C2×#102—431no—
391C2×#102C2×D4311yescharacteristic
392C2×#102C2×D4311yescharacteristic
393C2×C22⋊C8—431no—
394C2×C22⋊C8C2×D4311yescharacteristic
395#390—431no—
396#390—431no—
397#389—431no—
398#389—431no—
399#388—861no—
400#388—861no—
401#386—861no—
402#386—861no—
403#380—431no—
404#380—431no—
405C4×C4⋊C4—431no—
406C4×C4⋊C4—431no—
407C4×C22⋊C4—861no—
408C4×C22⋊C4—861no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340C2×D4311yescharacteristic
415#336—431no—
416#336—431no—
417#336—431no—
418#336—431no—
419C43#2941211yescharacteristic, complemented, Sylow
420C22×D4—21no—
421C22×D4—21no—
422C22×D4C22×D4311yescharacteristic
423C22×D4C22×D4311yescharacteristic
424C23×C4—431no—
425C23×C4—431no—
426C23×C4—861no—
427C23×C4—861no—
428C23×C4C22×D4311yescharacteristic
429C2×D8—22no—
430C2×D8—22no—
431C2×D8—41no—
432C22×C8—431no—
433C22×C8—431no—
434C22×C8C22×D4311yescharacteristic
435C22×C8C22×D4311yescharacteristic
436#121—22no—
437#121—22no—
438#121—22no—
439#121—22no—
440C4×D4—1721no—
441C4×D4—1721no—
442C4×D4—1721no—
443C4×D4—1721no—
444C4×D4—1724no—
445C4×D4—1724no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—861no—
451C2×C4⋊C4—861no—
452C2×C4⋊C4C22×D4311yescharacteristic
453C2×C4⋊C4C22×D4311yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C22⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42—431no—
467C2×C42—431no—
468C2×C42—861no—
469C2×C42—861no—
470C2×C42—1721no—
471C2×C42—1721no—
472#107—862no—
473#106—862no—
474#106—1721no—
475#102—22no—
476#102—22no—
477#102—862no—
478#102—862no—
479#102—1721no—
480#102—1721no—
481C22⋊C8—41no—
482C22⋊C8—1721no—
483#95—861no—
484#95—861no—
485#95—861no—
486#95—861no—
487#95—861no—
488#95—861no—
489C24—21no—
490C24—21no—
491C24D4×D4311yescharacteristic
492C2×D4—24no—
493C2×D4—24no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4#1062190012yes—
509C2×D4#1062190012yes—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—431no—
519C22×C4—431no—
520C22×C4—431no—
521C22×C4—431no—
522C22×C4—862no—
523C22×C4—862no—
524C22×C4—862no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—1722no—
530C22×C4—1722no—
531C22×C4—1721no—
532C22×C4—1721no—
533C22×C4—1721no—
534C22×C4—1722no—
535C22×C4—1722no—
536C22×C4—1722no—
537C22×C4—1722no—
538C22×C4D4×D4311yescharacteristic
539C22×C4C23×D4311yescharacteristic
540D8—44no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—861no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4—861no—
562C4⋊C4—861no—
563C4⋊C4—1722no—
564C4⋊C4—1722no—
565C4⋊C4#1062190012yes—
566C4⋊C4#1062190012yes—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—1722no—
570C22⋊C4—1722no—
571C22⋊C4—1722no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C22⋊C4—1722no—
575C22⋊C4—1722no—
576C22⋊C4—1722no—
577C42—861no—
578C42—861no—
579C42—861no—
580C42—861no—
581C42—1721no—
582C42—1721no—
583C42—1722no—
584C42—1722no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—22no—
592C23—22no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23#1306334912yes—
606C23C2×D4×D4311yescharacteristic
607D4—22no—
608D4—22no—
609D4—22no—
610D4—22no—
611D4—48no—
612D4—48no—
613D4—41no—
614D4—41no—
615D4—41no—
616D4—41no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—432no—
631C2×C4—432no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—861no—
642C2×C4—3444no—
643C2×C4—3444no—
644C2×C4—1724no—
645C2×C4—1724no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
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×C4C2×#1062190011yescharacteristic
659C2×C4C2×#1062190011yescharacteristic
660C2×C4C2×#1062190011yescharacteristic
661C2×C4C2×#1062190011yescharacteristic
662C2×C4#1306337011yescharacteristic
663C2×C4#1306337111yescharacteristic
664C8—41no—
665C8—41no—
666C8—1721no—
667C8—1721no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22#1458340511yescharacteristic
690C22#1458340511yescharacteristic
691C22#1458345711yescharacteristic
692C22#135×D4311yescharacteristic
693C22AGL(1,ℤ/8)×D4311yescharacteristic
694C22C2×#1306334911yescharacteristic
695C22#1458369511yescharacteristic
696C4—42no—
697C4—41no—
698C4—42no—
699C4—862no—
700C4—862no—
701C4—3441no—
702C4—3441no—
703C4—3441no—
704C4—3441no—
705C4—1721no—
706C4—1721no—
707C4#1458358011yescharacteristic
708C4#1458360111yescharacteristic
709C4#1458360111yescharacteristic
710C4#1458363511yescharacteristic
711C2—42no—
712C2—82no—
713C2—82no—
714C2#1914017611yescharacteristic
715C2#1914460611yescharacteristic
716C2#1914464811yescharacteristic
717C2#1914468111yescharacteristic
718C2#1914472811yescharacteristic
719C2#1914535511yescharacteristic
720C2#1914540411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
Fitting, prime radicalC43×#1999C2
socleC23×C43C22×D4
hypercenter#1999D43
hypocenterC43#29412
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1999

Complements

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

NH ≅ G/Ntype
1. #121×Dic43C2semidirect
2. #121×Dic43C2semidirect
3. #19136028C2semidirect
4. #19135781C2semidirect
5. #19135774C2semidirect
6. #19135225C2semidirect
7. #19135218C2semidirect
8. #19135190C2semidirect
9. #19135183C2semidirect
10. #19134945C2semidirect
11. #19134945C2semidirect
12. #19134858C2semidirect
13. #19134858C2semidirect
14. #19134661C2semidirect
419. C43#29412semidirect

Maximal subgroups

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

subgroupindex
#121×Dic432
#191360282
#191357812
#191357742
#191352252
#191352182
#191351902
#191351832
#191349452
#191348582
#191346612
C43×#19992
#2941243