Finite Group Databasebeta

← #25132677

Subgroups — #25132677

Order 11008.

1150 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583452C211yesmaximal, characteristic, complemented
2C2×#14583188C211yesmaximal, characteristic, complemented
3C2×#14583178C211yesmaximal, characteristic, complemented
4#19137101C211yesmaximal, characteristic
5#19135935C211yesmaximal, characteristic, complemented
6#19135931C211yesmaximal, characteristic, complemented
7#19135740C211yesmaximal, characteristic, complemented
8#19135740C211yesmaximal, characteristic, complemented
9#19135545C211yesmaximal, characteristic, complemented
10#19135541C211yesmaximal, characteristic, complemented
11#19134917C211yesmaximal, characteristic
12#19134915C211yesmaximal, characteristic
13#19134792C211yesmaximal, characteristic, complemented
14#19134573C211yesmaximal, characteristic, complemented
15C43×#1854C211yesmaximal, characteristic, complemented
16#14583452—24no—
17#14583452—24no—
18C2×#13063324C2211yescharacteristic
19C2×#13063324C2211yescharacteristic
20C2×#13063316C2211yescharacteristic
21C2×#13063316C2211yescharacteristic
22C2×#13063302—21no—
23C2×#13063302—21no—
24C2×#13063299C2211yescharacteristic
25C2×C4×Dic86—21no—
26C2×C4×Dic86—21no—
27C2×#13063287C2211yescharacteristic
28C2×(C22⋊D43)⋊C4—21no—
29C2×#13063284C2211yescharacteristic
30C22×C4×Dic43C2211yescharacteristic
31#14583188—24no—
32#14583178—24no—
33C2×#13063258C2211yescharacteristic
34C2×#13063256C2211yescharacteristic
35C2×Dic43⋊C8C2211yescharacteristic
36C2×Dic43⋊C8C2211yescharacteristic
37C2×#13063247C2211yescharacteristic
38C2×#13063247C2211yescharacteristic
39C2×#13063245C2211yescharacteristic
40C2×#13063245C2211yescharacteristic
41C2×C22⋊(C43⋊C8)C2211yescharacteristic
42#14582800C2211yescharacteristic
43#14582795C2211yescharacteristic
44#14582788—21no—
45#14582776—21no—
46C4⋊C4×Dic43C2211yescharacteristic
47#14582746—21no—
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C2×#117×C43C2211yescharacteristic
57C2×#107×C43C2211yescharacteristic
58C2×#106×C43C2211yescharacteristic
59C2×C22⋊C8×C43C2211yescharacteristic
60C43×#380C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C43×#340C2211yescharacteristic
63C22×Dic86—21no—
64C22×Dic86—21no—
65C22×D172C2311yescharacteristic
66C22×C22⋊D43—21no—
67C23×Dic43D411yescharacteristic
68C23×Dic43D411yescharacteristic
69C22×C4×D43—21no—
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72#13063324—22no—
73#13063324—22no—
74#13063324D414yescomplemented
75#13063324D414yescomplemented
76#13063316—22no—
77#13063316—22no—
78#13063316—22no—
79#13063316—22no—
80#13063302—28no—
81#13063302—28no—
82#13063299—22no—
83#13063299Q814yescomplemented
84C4×Dic86—28no—
85C4×Dic86—28no—
86#13063287—22no—
87#13063287—22no—
88(C22⋊D43)⋊C4—44no—
89#13063284—22no—
90#13063284—22no—
91C2×C4⋊Dic43—21no—
92C2×C4⋊Dic43—21no—
93C2×C4⋊Dic43C2311yescharacteristic
94C2×C4⋊Dic43C2311yescharacteristic
95C2×C4⋊Dic43C2311yescharacteristic
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4—21no—
99C2×Dic43⋊C4—21no—
100C2×Dic43⋊C4—21no—
101C2×C22⋊Dic43—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×(C2×D43)⋊C4—21no—
105C2×(C2×D43)⋊C4—21no—
106C2×C4×Dic43—21no—
107C2×C4×Dic43—22no—
108C2×C4×Dic43—22no—
109C2×C4×Dic43—21no—
110C2×C4×Dic43D411yescharacteristic
111C2×C4×Dic43D411yescharacteristic
112C2×C4×Dic43C2311yescharacteristic
113C2×C4×Dic43C2311yescharacteristic
114#13063258—22no—
115#13063256—22no—
116Dic43⋊C8—22no—
117Dic43⋊C8—22no—
118#13063247—22no—
119#13063247—22no—
120#13063245—22no—
121#13063245—22no—
122C22⋊(C43⋊C8)—22no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C23×C4×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128#117×C43—22no—
129#117×C43—22no—
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C22⋊C4×C43—21no—
135C2×C22⋊C4×C43—21no—
136C2×C42×C43—21no—
137#107×C43—22no—
138#106×C43—22no—
139C22⋊C8×C43—22no—
140#95×C43—21no—
141C24×C43C2×D411yescharacteristic
142C23×D43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×Q812yes—
153C22×C4×C43#4112yes—
154C22×C4×C43C2411yescharacteristic
155C2×C22⋊D43—24no—
156C2×C22⋊D43—42no—
157C2×C22⋊D43—42no—
158C22×Dic43—22no—
159C22×Dic43—22no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—41no—
166C22×Dic43—41no—
167C22×Dic43C2×D411yescharacteristic
168C22×Dic43C2×D411yescharacteristic
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C2×D172—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172C2×Q812yes—
177C2×C4×D43—42no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×Dic86—24no—
181C2×Dic86—24no—
182C2×Dic86—42no—
183C2×Dic86—42no—
184C2×Dic86—42no—
185C2×Dic86—42no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43C2×D412yes—
199C4⋊C4×C43C2×D412yes—
200C22⋊C4×C43—24no—
201C22⋊C4×C43—42no—
202C42×C43—24no—
203C22⋊Dic43—24no—
204(C2×D43)⋊C4—24no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—42no—
207(C2×D43)⋊C4—42no—
208C4⋊Dic43—24no—
209C4⋊Dic43—24no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43C2×D412yes—
214C4⋊Dic43C2×D412yes—
215C4⋊Dic43C2×Q812yes—
216Dic43⋊C4—24no—
217Dic43⋊C4—24no—
218Dic43⋊C4—24no—
219Dic43⋊C4—24no—
220Dic43⋊C4—42no—
221C4×Dic43—24no—
222C4×Dic43—21no—
223C4×Dic43—21no—
224C4×Dic43—22no—
225C4×Dic43—22no—
226C4×Dic43—42no—
227C4×Dic43C2×D412yes—
228C4×Dic43C2×D412yes—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43C22⋊Q812yes—
242C23×C43C22×D411yescharacteristic
243C22×D43—22no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
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×C43C22⋊Q812yes—
269C2×C4×C43C22×D411yescharacteristic
270C2×C4×C43C22×D411yescharacteristic
271C2×C4×C43C22×Q811yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C432−1+411yescharacteristic
274C2×C4×C432−1+411yescharacteristic
275C22⋊D43—48no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—44no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—44no—
295C2×Dic43#12012yes—
296C2×Dic43#12012yes—
297C2×Dic43#13512yes—
298C2×Dic43AGL(1,ℤ/8)12yes—
299D172—22no—
300D172—22no—
301D172—41no—
302D172—41no—
303C4×D43—84no—
304Dic86—48no—
305Dic86—48no—
306C8×C43—41no—
307C8×C43—41no—
308C43⋊C8—41no—
309C43⋊C8—41no—
310#24300—431nomaximal, Sylow
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—22no—
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43C2×#12011yescharacteristic
319C22×C43C2×C22⋊Q811yescharacteristic
320C22×C43#53611yescharacteristic
321C22×C43C2×#13511yescharacteristic
322C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
323C22×C43#57511yescharacteristic
324C22×C43#57511yescharacteristic
325C2×D43—42no—
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—81no—
329C2×D43—81no—
330C2×D43—81no—
331C2×D43—81no—
332C4×C43—22no—
333C4×C43—42no—
334C4×C43—42no—
335C4×C43—81no—
336C4×C43—81no—
337C4×C43#54811yescharacteristic
338C4×C43#54811yescharacteristic
339C4×C43D4×Q811yescharacteristic
340C4×C43D4×Q811yescharacteristic
341Dic43—22no—
342Dic43—42no—
343Dic43—42no—
344Dic43—41no—
345Dic43—42no—
346Dic43—41no—
347Dic43#44914yes—
348C2×#533—431no—
349C2×#476—431no—
350C2×#474—431no—
351C4×#121—431no—
352#2059—431no—
353#2059—431no—
354#2025—431no—
355#2025—431no—
356#1988—431no—
357#1987—431no—
358#1875—431no—
359#1875—431no—
360#1854—431no—
361#1854D4311yescharacteristic, complemented
362#1797—431no—
363C2×C43—42no—
364C2×C43#240911yescharacteristic
365C2×C43C2×#44911yescharacteristic
366C2×C43#300511yescharacteristic
367C2×C43#307611yescharacteristic
368C2×C43#307711yescharacteristic
369C2×C43#323311yescharacteristic
370C2×C43#323511yescharacteristic
371D43—82no—
372#533—864no—
373#533—864no—
374C2×C4⋊Q8—431no—
375C2×C4⋊Q8—431no—
376C2×#125—431no—
377C2×#125—431no—
378C2×C22⋊Q8—861no—
379C2×C22⋊Q8—861no—
380C2×#121—431no—
381C2×C4×Q8—861no—
382C2×C4×Q8—861no—
383C2×C4×D4—431no—
384C2×C4×D4—861no—
385C2×#117—431no—
386C2×#117C2×D4311yescharacteristic
387C22×C42—431no—
388#476—864no—
389#474—864no—
390C2×#107—431no—
391C2×#107C2×D4311yescharacteristic
392C2×#106—431no—
393C2×#106C2×D4311yescharacteristic
394C2×C4⋊C8—431no—
395C2×C4⋊C8—431no—
396C2×#102—431no—
397C2×#102—431no—
398C2×#102—431no—
399C2×#102—431no—
400C2×C22⋊C8—431no—
401C2×C22⋊C8C2×D4311yescharacteristic
402#390—431no—
403#389—431no—
404#388—861no—
405#386—861no—
406#380C2×D4311yescharacteristic
407C4×C4⋊C4—431no—
408C4×C22⋊C4—861no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340C2×D4311yescharacteristic
416#340C2×D4311yescharacteristic
417#336—431no—
418#336—431no—
419C43#2430011yescharacteristic, complemented, Sylow
420C22×Q8—861no—
421C22×Q8—861no—
422C22×D4—431no—
423C22×D4—861no—
424C23×C4—431no—
425C23×C4—431no—
426C23×C4—861no—
427C23×C4C22×D4311yescharacteristic
428C22×C8—431no—
429C22×C8—431no—
430C22×C8C22×D4311yescharacteristic
431C22×C8C22×D4311yescharacteristic
432C4⋊Q8—434no—
433C4⋊Q8—434no—
434C4⋊Q8—862no—
435C4⋊Q8—862no—
436#125—862no—
437#125—862no—
438#125—862no—
439#125—862no—
440C22⋊Q8—868no—
441C22⋊Q8—868no—
442#121—434no—
443#121—862no—
444C4×Q8—868no—
445C4×Q8—868no—
446C4×D4—862no—
447C4×D4—862no—
448C4×D4—1724no—
449#117—22no—
450#117—22no—
451#117—862no—
452#117—862no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4C22×D4311yescharacteristic
464C2×C4⋊C4C22×D4311yescharacteristic
465C2×C4⋊C4C22×D4311yescharacteristic
466C2×C4⋊C4C22×D4311yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C42—21no—
475C2×C42—431no—
476C2×C42—431no—
477C2×C42—431no—
478C2×C42—431no—
479C2×C42—862no—
480C2×C42—862no—
481C2×C42—861no—
482C2×C42—861no—
483#107—22no—
484#107—862no—
485#106—22no—
486#106—862no—
487C4⋊C8—862no—
488C4⋊C8—862no—
489#102—862no—
490#102—862no—
491#102—862no—
492#102—862no—
493C22⋊C8—22no—
494C22⋊C8—862no—
495#95—21no—
496#95—861no—
497#95—861no—
498C24—861no—
499C24D4×D4311yescharacteristic
500C2×Q8—864no—
501C2×Q8—864no—
502C2×Q8—1722no—
503C2×Q8—1722no—
504C2×Q8—1722no—
505C2×Q8—1722no—
506C2×D4—432no—
507C2×D4—864no—
508C2×D4—861no—
509C2×D4—861no—
510C2×D4—861no—
511C2×D4—861no—
512C2×D4—861no—
513C2×D4—1722no—
514C2×D4—1722no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—431no—
524C22×C4—431no—
525C22×C4—431no—
526C22×C4—431no—
527C22×C4—862no—
528C22×C4—862no—
529C22×C4—862no—
530C22×C4—862no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—1722no—
535C22×C4—1722no—
536C22×C4—1722no—
537C22×C4—1721no—
538C22×C4—1721no—
539C22×C4#1062189812yes—
540C22×C4D4×D4311yescharacteristic
541C22×C4Q8×D4312yes—
542C22×C4C23×D4311yescharacteristic
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—861no—
554C2×C8—861no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—432no—
562C4⋊C4—432no—
563C4⋊C4—432no—
564C4⋊C4—864no—
565C4⋊C4—864no—
566C4⋊C4—864no—
567C4⋊C4—864no—
568C4⋊C4—864no—
569C4⋊C4—864no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—1722no—
574C4⋊C4D4×D4312yes—
575C4⋊C4D4×D4312yes—
576C22⋊C4—24no—
577C22⋊C4—42no—
578C22⋊C4—864no—
579C22⋊C4—864no—
580C22⋊C4—1722no—
581C22⋊C4—1722no—
582C22⋊C4—1722no—
583C42—24no—
584C42—432no—
585C42—432no—
586C42—862no—
587C42—862no—
588C42—864no—
589C42—861no—
590C42—861no—
591C42—1722no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—862no—
599C23—1721no—
600C23—1721no—
601C23—1721no—
602C23—1721no—
603C23—1721no—
604C23—1721no—
605C23#1306330312yes—
606C23C2×D4×D4311yescharacteristic
607Q8—1728no—
608Q8—1728no—
609D4—862no—
610D4—862no—
611D4—1728no—
612D4—1721no—
613D4—1721no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
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—41no—
631C2×C4—41no—
632C2×C4—432no—
633C2×C4—432no—
634C2×C4—432no—
635C2×C4—432no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—862no—
641C2×C4—862no—
642C2×C4—862no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—3444no—
648C2×C4—1724no—
649C2×C4—1724no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4#1306330312yes—
657C2×C4C2×D4×D4311yescharacteristic
658C2×C4C2×D4×D4311yescharacteristic
659C2×C4C2×Q8×D4311yescharacteristic
660C2×C4C2×#1062189811yescharacteristic
661C2×C4#1306337211yescharacteristic
662C2×C4#1306337211yescharacteristic
663C8—41no—
664C8—41no—
665C8—1721no—
666C8—1721no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—3441no—
675C22—3441no—
676C22—3441no—
677C22—3441no—
678C22—1722no—
679C22—1722no—
680C22—1722no—
681C22#120×D4311yescharacteristic
682C22C2×#1306330311yescharacteristic
683C22#1458347111yescharacteristic
684C22#135×D4311yescharacteristic
685C22AGL(1,ℤ/8)×D4311yescharacteristic
686C22#1458369611yescharacteristic
687C22#1458369811yescharacteristic
688C4—22no—
689C4—42no—
690C4—42no—
691C4—81no—
692C4—81no—
693C4—434no—
694C4—862no—
695C4—1721no—
696C4—1722no—
697C4—1721no—
698C4—1722no—
699C4—1722no—
700C4#1458355811yescharacteristic
701C4#1458355811yescharacteristic
702C4#1458356211yescharacteristic
703C4#1458356211yescharacteristic
704C2—42no—
705C2—3442no—
706C2#1913795911yescharacteristic
707C2#449×D4311yescharacteristic
708C2#1914383811yescharacteristic
709C2#1914438111yescharacteristic
710C2#1914439111yescharacteristic
711C2#1914577711yescharacteristic
712C2#1914579011yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1854C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
hypercenter#1854D43
hypocenterC43#24300
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1854

Complements

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

NH ≅ G/Ntype
1. C2×#14583452C2semidirect
2. C2×#14583188C2semidirect
3. C2×#14583178C2semidirect
5. #19135935C2semidirect
6. #19135931C2semidirect
7. #19135740C2semidirect
8. #19135740C2semidirect
9. #19135545C2semidirect
10. #19135541C2semidirect
13. #19134792C2semidirect
14. #19134573C2semidirect
15. C43×#1854C2semidirect
74. #13063324D4semidirect
75. #13063324D4semidirect
83. #13063299Q8semidirect
361. #1854D43semidirect
419. C43#24300semidirect

Maximal subgroups

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

subgroupindex
C2×#145834522
C2×#145831882
C2×#145831782
#191371012
#191359352
#191359312
#191357402
#191355452
#191355412
#191349172
#191349152
#191347922
#191345732
C43×#18542
#2430043