Finite Group Databasebeta

← #25119188

Subgroups — #25119188

Order 11008.

1066 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583129C211yesmaximal, characteristic
2C2×#14582986C211yesmaximal, characteristic, complemented
3C2×#106×D43C211yesmaximal, characteristic, complemented
4#19137613C211yesmaximal, characteristic
5#19137602C211yesmaximal, characteristic, complemented
6#19135449C211yesmaximal, characteristic, complemented
7#19135324C211yesmaximal, characteristic, complemented
8#19135229C211yesmaximal, characteristic, complemented
9#19135222C211yesmaximal, characteristic, complemented
10#19134911C211yesmaximal, characteristic
11#19134901C211yesmaximal, characteristic, complemented
12#19134864C211yesmaximal, characteristic, complemented
13#19134857C211yesmaximal, characteristic, complemented
14C8×(C2×D43)⋊C4C211yesmaximal, characteristic, complemented
15C4×#106×C43C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C22×C8×D43C2211yescharacteristic
18C2×#13063305C2211yescharacteristic
19C2×#13063300C2211yescharacteristic
20C2×#13063290C2211yescharacteristic
21C2×C4×D172—21no—
22C2×#13063287C2211yescharacteristic
23C2×C4⋊C4×D43C2211yescharacteristic
24C2×C4⋊C4×D43C2211yescharacteristic
25#14583129C418yescomplemented
26#14582986—24no—
27C2×#13063257C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×#13063256C2211yescharacteristic
30#106×D43—24no—
31C2×#13063250C2211yescharacteristic
32C2×#13063248C2211yescharacteristic
33C2×#13063248C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063245C2211yescharacteristic
36C2×#13063245C2211yescharacteristic
37C2×(C2×D43)⋊C8C2211yescharacteristic
38C2×C8×Dic43C2211yescharacteristic
39#14582805C2211yescharacteristic
40#14582801C2211yescharacteristic
41#14582798C2211yescharacteristic
42#14582798C2211yescharacteristic
43#14582797—21no—
44#14582790—21no—
45#14582784—21no—
46#14582777—21no—
47#14582773—21no—
48#14582773—21no—
49C4×(C2×D43)⋊C4—21no—
50C4×(C2×D43)⋊C4C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×#106×C43C2211yescharacteristic
56C2×#106×C43C2211yescharacteristic
57C2×C4×C8×C43C2211yescharacteristic
58C4×C4⋊C4×C43C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×D172—21no—
64C22×D172C2311yescharacteristic
65C22×C4×D43—21no—
66C22×C4×D43—21no—
67C22×C4×D43—21no—
68C22×C4×D43C2311yescharacteristic
69C2×#10621873—22no—
70C2×#10621873—22no—
71C2×#10621873C2×C414yescomplemented
72C22×C43⋊C8C2311yescharacteristic
73C22×C43⋊C8C2311yescharacteristic
74C2×C8×D43—22no—
75C2×C8×D43—22no—
76C2×C8×D43C2×C414yescomplemented
77#13063305—22no—
78#13063305C2×C414yescomplemented
79#13063300—22no—
80#13063300C2×C414yes—
81#13063290—22no—
82#13063290—41no—
83C4×D172—44no—
84#13063287—22no—
85#13063287—41no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43—21no—
88C2×C4⋊Dic43—21no—
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C4⋊C4×D43—22no—
95C4⋊C4×D43—22no—
96C4⋊C4×D43—41no—
97C4⋊C4×D43—41no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4D411yescharacteristic
104C2×(C2×D43)⋊C4D411yescharacteristic
105C2×C4×Dic43—21no—
106C2×C4×Dic43C2311yescharacteristic
107#13063257—22no—
108#13063256—22no—
109#13063256—22no—
110#13063250—41no—
111#13063248—22no—
112#13063248C2×C414yescomplemented
113#13063247—41no—
114#13063245—22no—
115#13063245C2×C414yescomplemented
116(C2×D43)⋊C8—22no—
117C8×Dic43—22no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95D411yescharacteristic
123C43⋊#95D411yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C42×C43—21no—
131C2×C42×C43—21no—
132C2×C42×C43C2311yescharacteristic
133#106×C43C2×C414yescomplemented
134#106×C43D414yescomplemented
135C4×C8×C43—22no—
136#95×C43—21no—
137#95×C43—21no—
138C23×D43—21no—
139C23×D43C2×D411yescharacteristic
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43C2×D411yescharacteristic
145C22×C4×C43C2×D411yescharacteristic
146C22×C4×C43C2411yescharacteristic
147C22×Dic43—21no—
148C22×Dic43—21no—
149C22×Dic43—21no—
150C22×Dic43C2×D411yescharacteristic
151C22×Dic43C2×D411yescharacteristic
152C22×Dic43C2×D411yescharacteristic
153C2×D172—21no—
154C2×D172—24no—
155C2×D172—21no—
156C2×D172—21no—
157C2×D172—21no—
158C2×D172—21no—
159C2×D172—42no—
160C2×D172—42no—
161C2×D172C22×C412yes—
162C2×C4×D43—21no—
163C2×C4×D43—21no—
164C2×C4×D43—21no—
165C2×C4×D43—21no—
166C2×C4×D43—42no—
167C2×C4×D43—42no—
168C2×C4×D43—42no—
169C2×C4×D43—42no—
170C2×C4×D43—42no—
171C2×C4×D43—42no—
172C2×C4×D43—81no—
173C2×C4×D43—81no—
174C2×C4×D43—81no—
175C2×C4×D43C22×C412yes—
176C2×C4×D43#4112yes—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86C22×C412yes—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43C22×C412yes—
187C2×C8×C43C2×D412yes—
188C2×C8×C43#4112yes—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43C22×C412yes—
194C4⋊C4×C43C22×C412yes—
195C4⋊C4×C43C2×D412yes—
196C4⋊C4×C43C2×D412yes—
197C42×C43—21no—
198C42×C43—21no—
199C42×C43—42no—
200C42×C43—81no—
201(C2×D43)⋊C4—24no—
202(C2×D43)⋊C4—24no—
203(C2×D43)⋊C4—22no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—81no—
207(C2×D43)⋊C4SD1614yescomplemented
208C4⋊Dic43—24no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—42no—
214C4⋊Dic43—81no—
215Dic43⋊C4—42no—
216Dic43⋊C4—42no—
217Dic43⋊C4—42no—
218C4×Dic43—21no—
219C4×Dic43—21no—
220C4×Dic43—42no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8C22×C412yes—
227#10621873—28no—
228C8×D43—28no—
229C23×C43C22×D411yescharacteristic
230C22×D43—21no—
231C22×D43—21no—
232C22×D43—21no—
233C22×D43—21no—
234C22×D43—22no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43C4×D412yes—
242C22×D43C2×SD1612yes—
243C22×D43#13512yes—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43C2×SD1612yes—
262C2×C4×C43C23×C411yescharacteristic
263C2×C4×C43C22×D411yescharacteristic
264C2×C4×C43C2×#4111yescharacteristic
265C2×C4×C43C2×#4111yescharacteristic
266C2×C4×C43H(5,𝔽2)11yescharacteristic
267C2×C4×C432−1+411yescharacteristic
268C2×Dic43—21no—
269C2×Dic43—21no—
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—22no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43C4×D412yes—
285C2×Dic43C2×SD1612yes—
286D172—22no—
287D172—22no—
288D172—48no—
289D172—41no—
290D172—41no—
291C4×D43—22no—
292C4×D43—22no—
293C4×D43—22no—
294C4×D43—22no—
295C4×D43—84no—
296C4×D43—84no—
297C4×D43—84no—
298Dic86—22no—
299Dic86—22no—
300Dic86—41no—
301Dic86—41no—
302C8×C43—41no—
303C8×C43C4×D414yescomplemented
304C43⋊C8—22no—
305C43⋊C8—41no—
306#23022—431nomaximal, Sylow
307C22×C43C2×C4×D411yescharacteristic
308C22×C43D4211yescharacteristic
309C22×C43#54711yescharacteristic
310C22×C43C22×SD1611yescharacteristic
311C22×C43C2×#13511yescharacteristic
312C22×C43#57711yescharacteristic
313C22×C43#57711yescharacteristic
314C2×D43—22no—
315C2×D43—22no—
316C2×D43—22no—
317C2×D43—22no—
318C2×D43—22no—
319C2×D43—22no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—42no—
323C2×D43—81no—
324C2×D43—81no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43C4×SD1614yescomplemented
328C4×C43—22no—
329C4×C43—41no—
330C4×C43—42no—
331C4×C43—42no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43C2×C4×D411yescharacteristic
335C4×C43#52011yescharacteristic
336C4×C43#54811yescharacteristic
337C4×C43#55311yescharacteristic
338Dic43—22no—
339Dic43—22no—
340Dic43—42no—
341Dic43—41no—
342Dic43—81no—
343Dic43—81no—
344C2×#465—431no—
345C2×C4×SD16—431no—
346C22×#106—431no—
347#2361—431no—
348#2360—431no—
349#1968—431no—
350#1941—431no—
351#1927—431no—
352#1926—431no—
353#1874—431no—
354#1872—431no—
355#1865—431no—
356#1864—431no—
357C4×#106D4311yescharacteristic, complemented
358C8×C22⋊C4—431no—
359C2×C43#236111yescharacteristic
360C2×C43C2×C4×SD1611yescharacteristic
361C2×C43#295211yescharacteristic
362C2×C43D4×SD1611yescharacteristic
363C2×C43#328211yescharacteristic
364C2×C43#333511yescharacteristic
365C2×C43#333711yescharacteristic
366D43—24no—
367D43—82no—
368C22×SD16—431no—
369C23×C8—431no—
370C2×C22⋊Q8—431no—
371C2×#121—431no—
372C2×C4×Q8—431no—
373C2×C4×D4—431no—
374C2×C4×D4—861no—
375C22×C4⋊C4—431no—
376C22×C4⋊C4—431no—
377#465—438no—
378C4×SD16—864no—
379C2×#106—431no—
380C2×#106—431no—
381C2×#106—431no—
382C2×#106—864no—
383C2×#106C2×D4311yescharacteristic
384C2×#106C2×D4311yescharacteristic
385C2×#103—431no—
386C2×#103—431no—
387C2×#103—431no—
388C2×#102—431no—
389C2×#102—431no—
390C2×#102—431no—
391C2×C22⋊C8—431no—
392C2×C4×C8—431no—
393C2×C4×C8C2×D4311yescharacteristic
394#391—431no—
395#390—431no—
396#389—431no—
397#389—431no—
398#389—861no—
399#388—861no—
400#387—861no—
401#386—861no—
402#385—861no—
403#385—861no—
404C4×C4⋊C4C2×D4311yescharacteristic
405C4×C4⋊C4C2×D4311yescharacteristic
406C4×C22⋊C4—431no—
407C4×C22⋊C4—861no—
408#340—431no—
409#340—431no—
410#340C2×D4311yescharacteristic
411#340C2×D4311yescharacteristic
412#336—431no—
413#336—431no—
414C43#2302211yescharacteristic, complemented, Sylow
415C22×Q8—431no—
416C22×D4—431no—
417C22×D4—861no—
418C23×C4—431no—
419C23×C4—861no—
420C23×C4—861no—
421C23×C4—861no—
422C2×SD16—434no—
423C2×SD16—862no—
424C2×SD16—862no—
425C22×C8—431no—
426C22×C8—434no—
427C22×C8—431no—
428C22×C8—862no—
429C22×C8—862no—
430C22×C8C22×D4311yescharacteristic
431C22×C8C22×D4311yescharacteristic
432C22⋊Q8—434no—
433C22⋊Q8—862no—
434#121—434no—
435#121—862no—
436C4×Q8—862no—
437C4×Q8—1721no—
438C4×D4—862no—
439C4×D4—1724no—
440C4×D4—1721no—
441C2×C4⋊C4—431no—
442C2×C4⋊C4—431no—
443C2×C4⋊C4—861no—
444C2×C4⋊C4—862no—
445C2×C4⋊C4—862no—
446C2×C4⋊C4—861no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4—861no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4—861no—
451C2×C4⋊C4—1721no—
452C2×C4⋊C4—1721no—
453C2×C4⋊C4C22×D4311yescharacteristic
454C2×C4⋊C4C22×D4311yescharacteristic
455C2×C4⋊C4C22×D4311yescharacteristic
456C2×C4⋊C4C22×D4311yescharacteristic
457C2×C22⋊C4—431no—
458C2×C22⋊C4—431no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C42—21no—
465C2×C42—21no—
466C2×C42—431no—
467C2×C42—861no—
468C2×C42C22×D4311yescharacteristic
469#106—862no—
470#106—862no—
471#106—862no—
472#106C4×D4314yescomplemented
473#106D17214yescomplemented
474#103—434no—
475#103—862no—
476#103—1721no—
477#102—434no—
478#102—862no—
479#102—1721no—
480C22⋊C8—862no—
481C4×C8—22no—
482C4×C8—862no—
483#95—21no—
484#95—21no—
485#95—431no—
486#95—431no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491C24—431no—
492C24—861no—
493C2×Q8—432no—
494C2×Q8—861no—
495C2×Q8—861no—
496C2×Q8—861no—
497C2×Q8—861no—
498C2×Q8—861no—
499C2×D4—432no—
500C2×D4—864no—
501C2×D4—861no—
502C2×D4—861no—
503C2×D4—861no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—1722no—
507C2×D4—1722no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—431no—
513C22×C4—431no—
514C22×C4—432no—
515C22×C4—432no—
516C22×C4—431no—
517C22×C4—861no—
518C22×C4—861no—
519C22×C4—861no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—3441no—
525C22×C4—3441no—
526C22×C4—3441no—
527C22×C4—1722no—
528C22×C4—1722no—
529C22×C4—1722no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4D4×D4311yescharacteristic
534C22×C4D4×D4311yescharacteristic
535C22×C4C23×D4311yescharacteristic
536SD16—868no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—432no—
541C2×C8—861no—
542C2×C8—861no—
543C2×C8—868no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8—861no—
547C2×C8C2×C4×D4312yes—
548C2×C8C2×D17212yes—
549C2×C8#1062189812yes—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—864no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—3441no—
560C4⋊C4—1722no—
561C4⋊C4—1722no—
562C4⋊C4—1722no—
563C4⋊C4—1722no—
564C4⋊C4C2×C4×D4312yes—
565C4⋊C4C2×C4×D4312yes—
566C4⋊C4C2×D17212yes—
567C4⋊C4C2×D17212yes—
568C22⋊C4—434no—
569C22⋊C4—864no—
570C22⋊C4—862no—
571C22⋊C4—864no—
572C22⋊C4—3441no—
573C22⋊C4—1722no—
574C22⋊C4—1722no—
575C42—21no—
576C42—21no—
577C42—42no—
578C42—81no—
579C42—861no—
580C42—861no—
581C42—1722no—
582C23—432no—
583C23—432no—
584C23—432no—
585C23—861no—
586C23—861no—
587C23—861no—
588C23—861no—
589C23—862no—
590C23—1721no—
591C23—1721no—
592C23—1721no—
593C23—1721no—
594C23—1721no—
595C23—1721no—
596C23C2×D4×D4311yescharacteristic
597Q8—862no—
598Q8—862no—
599Q8—1721no—
600Q8—1721no—
601D4—862no—
602D4—862no—
603D4—1728no—
604D4—1721no—
605D4—1721no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—432no—
624C2×C4—432no—
625C2×C4—861no—
626C2×C4—861no—
627C2×C4—861no—
628C2×C4—861no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—3444no—
638C2×C4—3444no—
639C2×C4—3444no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4SD16×D4312yes—
649C2×C4C22×C4×D4311yescharacteristic
650C2×C4C22×D17211yescharacteristic
651C2×C4#41×D4311yescharacteristic
652C2×C4C2×#1062189811yescharacteristic
653C2×C4#1306337111yescharacteristic
654C2×C4#1306337311yescharacteristic
655C8—41no—
656C8—862no—
657C8—1721no—
658C8C4×D17214yescomplemented
659C22—434no—
660C22—862no—
661C22—862no—
662C22—862no—
663C22—862no—
664C22—862no—
665C22—862no—
666C22—3441no—
667C22—3441no—
668C22—3441no—
669C22—3441no—
670C22—1722no—
671C22—1722no—
672C22—1722no—
673C22C4×D4×D4311yescharacteristic
674C22D4×D17211yescharacteristic
675C22#1458355011yescharacteristic
676C22C2×SD16×D4311yescharacteristic
677C22#135×D4311yescharacteristic
678C22#1458370511yescharacteristic
679C22#1458370611yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—41no—
686C4—862no—
687C4—862no—
688C4—3441no—
689C4—3441no—
690C4—1721no—
691C4—1722no—
692C4C2×C4×D17211yescharacteristic
693C4#1458338111yescharacteristic
694C4#1458356111yescharacteristic
695C4#1458359311yescharacteristic
696C2—864no—
697C2—3442no—
698C2#1913761311yescharacteristic
699C2C4×SD16×D4311yescharacteristic
700C2#1914347311yescharacteristic
701C2SD16×D17211yescharacteristic
702C2#1914630411yescharacteristic
703C2#1914694811yescharacteristic
704C2#1914697511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#106×C43C2
socleC23×C43C22×D4
prime radicalC2×#13063300C22
cosocleC22×C4×C43C24
hypercenterC4×#106D43
hypocenterC43#23022
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C4×#106

Complements

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

NH ≅ G/Ntype
2. C2×#14582986C2semidirect
3. C2×#106×D43C2semidirect
5. #19137602C2semidirect
6. #19135449C2semidirect
7. #19135324C2semidirect
8. #19135229C2semidirect
9. #19135222C2semidirect
11. #19134901C2semidirect
12. #19134864C2semidirect
13. #19134857C2semidirect
14. C8×(C2×D43)⋊C4C2semidirect
15. C4×#106×C43C2semidirect
25. #14583129C4semidirect
71. C2×#10621873C2×C4semidirect
76. C2×C8×D43C2×C4semidirect
78. #13063305C2×C4semidirect
112. #13063248C2×C4semidirect
115. #13063245C2×C4semidirect
133. #106×C43C2×C4semidirect
134. #106×C43D4semidirect
207. (C2×D43)⋊C4SD16semidirect
303. C8×C43C4×D4semidirect
327. C2×D43C4×SD16semidirect
357. C4×#106D43semidirect
414. C43#23022semidirect
472. #106C4×D43semidirect
473. #106D172semidirect
658. C8C4×D172semidirect

Maximal subgroups

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

subgroupindex
C2×#145831292
C2×#145829862
C2×#106×D432
#191376132
#191376022
#191354492
#191353242
#191352292
#191352222
#191349112
#191349012
#191348642
#191348572
C8×(C2×D43)⋊C42
C4×#106×C432
#2302243