Finite Group Databasebeta

← #25116886

Subgroups — #25116886

Order 11008.

1118 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583062C211yesmaximal, characteristic
2C2×#14582996C211yesmaximal, characteristic, complemented
3C2×#14582892C211yesmaximal, characteristic
4#19137624C211yesmaximal, characteristic, complemented
5#19137420C211yesmaximal, characteristic
6#19135466C211yesmaximal, characteristic, complemented
7#19135286C211yesmaximal, characteristic, complemented
8#19135236C211yesmaximal, characteristic, complemented
9#19135017C211yesmaximal, characteristic, complemented
10#19134937C211yesmaximal, characteristic, complemented
11#19134929C211yesmaximal, characteristic, complemented
12#19134858C211yesmaximal, characteristic, complemented
13#19134795C211yesmaximal, characteristic, complemented
14#19134372C211yesmaximal, characteristic, complemented
15C43×#1762C211yesmaximal, characteristic, complemented
16C22×#10621900C2211yescharacteristic
17C22×Dic172C2211yescharacteristic
18C22×#10621883C2211yescharacteristic
19C22×C8×D43C2211yescharacteristic
20C2×#13063305C2211yescharacteristic
21C2×#13063290C2211yescharacteristic
22C2×D4×Dic43C2211yescharacteristic
23C2×#13063283C2211yescharacteristic
24#14583062C418yescomplemented
25#14582996—24no—
26C2×#13063258C2211yescharacteristic
27C2×#13063257C2211yescharacteristic
28#14582892—24no—
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063248C2211yescharacteristic
32C2×#13063248C2211yescharacteristic
33C2×#13063248C2211yescharacteristic
34C2×#13063246C2211yescharacteristic
35C2×(C2×D43)⋊C8C2211yescharacteristic
36C2×#13063235C2211yescharacteristic
37#14582805C2211yescharacteristic
38#14582805C2211yescharacteristic
39#14582804C2211yescharacteristic
40#14582798C2211yescharacteristic
41#14582791—21no—
42#14582790—21no—
43#14582784—21no—
44#14582778—21no—
45#14582776—21no—
46#14582760—21no—
47#14582756C2211yescharacteristic
48C4×C4⋊Dic43—21no—
49C4×(C2×D43)⋊C4C2211yescharacteristic
50C2×C43⋊#95—21no—
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#97×C43C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C2×#10621900—22no—
63C2×#10621900—22no—
64C2×#10621900—22no—
65C2×#10621900—41no—
66C2×#10621900—41no—
67C2×#10621900C2×C414yes—
68C22×Dic86C2311yescharacteristic
69C22×Dic86C2311yescharacteristic
70C22×C22⋊D43—21no—
71C23×Dic43—21no—
72C23×Dic43—21no—
73C22×C4×D43C2311yescharacteristic
74C2×Dic172—41no—
75C2×Dic172—41no—
76C2×Dic172C2×C414yescomplemented
77C2×#10621883—22no—
78C2×#10621883—22no—
79C2×#10621883C2×C414yes—
80C22×C43⋊C8C2311yescharacteristic
81C22×C43⋊C8C2311yescharacteristic
82C2×C8×D43—22no—
83C2×C8×D43—22no—
84C2×C8×D43—41no—
85#13063305—22no—
86#13063305C2×C414yescomplemented
87#13063290—22no—
88#13063290—41no—
89D4×Dic43—22no—
90D4×Dic43—41no—
91#13063283—22no—
92#13063283—41no—
93C2×C4⋊Dic43—21no—
94C2×C4⋊Dic43—21no—
95C2×C4⋊Dic43C2311yescharacteristic
96C2×C4⋊Dic43C2311yescharacteristic
97C2×Dic43⋊C4—21no—
98C2×C22⋊Dic43—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4D411yescharacteristic
103C2×(C2×D43)⋊C4D411yescharacteristic
104C2×C4×Dic43—21no—
105C2×C4×Dic43—21no—
106C2×C4×Dic43C2311yescharacteristic
107#13063258—22no—
108#13063257—41no—
109#13063250—22no—
110#13063250—22no—
111#13063248—22no—
112#13063248—41no—
113#13063248C2×C414yescomplemented
114#13063246—22no—
115(C2×D43)⋊C8C2×C414yescomplemented
116#13063235—22no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95D411yescharacteristic
126C43⋊#95D411yescharacteristic
127C22×D4×C43C2311yescharacteristic
128C23×C4×C43—21no—
129C22×C8×C43C2311yescharacteristic
130C22×C8×C43C2311yescharacteristic
131C4×D4×C43—22no—
132C4×D4×C43—41no—
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C22⋊C4×C43—21no—
137C2×C42×C43—21no—
138C2×C42×C43C2311yescharacteristic
139#102×C43C2×C414yes—
140#102×C43D414yes—
141#97×C43—41no—
142#95×C43—21no—
143C24×C43—21no—
144C23×D43C2×D411yescharacteristic
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43C22×C412yes—
149C2×D4×C43C2×D412yes—
150C2×D4×C43#4112yes—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—42no—
155C22×C4×C43—42no—
156C22×C4×C43—81no—
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2411yescharacteristic
160C2×C22⋊D43—24no—
161C2×C22⋊D43—42no—
162C2×C22⋊D43—42no—
163C22×Dic43—24no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—42no—
169C22×Dic43—42no—
170C22×Dic43—42no—
171C22×Dic43—42no—
172C22×Dic43—81no—
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C22×Dic43C2×D411yescharacteristic
176#10621900—28no—
177#10621900—44no—
178#10621900—44no—
179#10621900—44no—
180C2×C4×D43—21no—
181C2×C4×D43—21no—
182C2×C4×D43—21no—
183C2×C4×D43—21no—
184C2×C4×D43C22×C412yes—
185C2×C4×D43#4112yes—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86—21no—
193C2×Dic86—21no—
194C2×Dic86—21no—
195C2×Dic86—21no—
196C2×Dic86C22×C412yes—
197C2×Dic86C22×C412yes—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43C22×C412yes—
203C2×C8×C43C2×D412yes—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43C22×C412yes—
209C4⋊C4×C43C2×D412yes—
210C22⋊C4×C43—42no—
211C42×C43—21no—
212C42×C43—21no—
213C42×C43—42no—
214C22⋊Dic43—42no—
215#10621883—28no—
216(C2×D43)⋊C4—24no—
217(C2×D43)⋊C4—41no—
218(C2×D43)⋊C4—41no—
219(C2×D43)⋊C4—42no—
220(C2×D43)⋊C4—81no—
221C4⋊Dic43—24no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—21no—
226C4⋊Dic43—42no—
227Dic43⋊C4—42no—
228C4×Dic43—21no—
229C4×Dic43—21no—
230C4×Dic43—42no—
231C4×Dic43—42no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8C22×C412yes—
238Dic172—44no—
239C8×D43—44no—
240C23×C43—22no—
241C23×C43—22no—
242C23×C43—22no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43C22×D411yescharacteristic
248C22×D43—21no—
249C22×D43—21no—
250C22×D43—21no—
251C22×D43—21no—
252C22×D43—21no—
253C22×D43—21no—
254C22×D43C4×D412yes—
255D4×C43—22no—
256D4×C43—22no—
257D4×C43—22no—
258D4×C43C4×D414yes—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—84no—
275C2×C4×C43C23×C411yescharacteristic
276C2×C4×C43C22×D411yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43H(5,𝔽2)11yescharacteristic
280C2×C4×C43H(5,𝔽2)11yescharacteristic
281C22⋊D43—48no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—48no—
293C2×Dic43—41no—
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—84no—
304C2×Dic43C4×D412yes—
305C4×D43—22no—
306C4×D43—22no—
307C4×D43—22no—
308C4×D43—22no—
309Dic86—22no—
310Dic86—22no—
311Dic86—22no—
312Dic86—22no—
313Dic86—41no—
314Dic86—41no—
315Dic86—41no—
316Dic86—41no—
317C8×C43—22no—
318C8×C43—22no—
319C43⋊C8—22no—
320C43⋊C8—41no—
321#22856—431nomaximal, Sylow
322C22×C43—24no—
323C22×C43—42no—
324C22×C43—42no—
325C22×C43—42no—
326C22×C43—42no—
327C22×C43—42no—
328C22×C43—42no—
329C22×C43C2×C4×D411yescharacteristic
330C22×C43D4211yescharacteristic
331C22×C43#54611yescharacteristic
332C22×C43#57511yescharacteristic
333C22×C43#57511yescharacteristic
334C22×C43#57711yescharacteristic
335C22×C43#57811yescharacteristic
336C2×D43—22no—
337C2×D43—22no—
338C2×D43—22no—
339C2×D43—41no—
340C2×D43—41no—
341C2×D43—41no—
342C2×D43—41no—
343C4×C43—42no—
344C4×C43—42no—
345C4×C43—41no—
346C4×C43—41no—
347C4×C43—81no—
348C4×C43C2×C4×D411yescharacteristic
349C4×C43#51811yescharacteristic
350C4×C43#54611yescharacteristic
351C4×C43#55111yescharacteristic
352Dic43—22no—
353Dic43—42no—
354Dic43—42no—
355Dic43—41no—
356Dic43—41no—
357Dic43—81no—
358Dic43—81no—
359C2×#452—431no—
360C2×#440—431no—
361C2×#416—431no—
362#2362—431no—
363#2339—431no—
364#1971—431no—
365#1935—431no—
366#1928—431no—
367#1892—431no—
368#1878—431no—
369#1877—431no—
370#1864—431no—
371#1854—431no—
372#1762D4311yescharacteristic, complemented
373#1752—431no—
374C2×C43—44no—
375C2×C43#235811yescharacteristic
376C2×C43#294311yescharacteristic
377C2×C43#294711yescharacteristic
378C2×C43#326711yescharacteristic
379C2×C43#326911yescharacteristic
380C2×C43#331111yescharacteristic
381C2×C43#331511yescharacteristic
382D43—42no—
383C22×#41—431no—
384C22×Q16—431no—
385C22×SD16—431no—
386C23×C8—431no—
387C2×C22⋊Q8—431no—
388C2×C4×Q8—431no—
389C2×C4×D4—431no—
390C2×C4×D4C2×D4311yescharacteristic
391C2×#117—431no—
392#452—438no—
393#440—864no—
394C2×#107—431no—
395C2×#106—431no—
396#416—864no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#102—431no—
403C2×#102C2×D4311yescharacteristic
404C2×#102C2×D4311yescharacteristic
405C2×C22⋊C8—431no—
406C2×#97—431no—
407C2×#97C2×D4311yescharacteristic
408#391—431no—
409#391—431no—
410#391—431no—
411#389—431no—
412#388—861no—
413#388—861no—
414#387—861no—
415#386—861no—
416#386—861no—
417#381—861no—
418#380—431no—
419C4×C4⋊C4—861no—
420C4×C4⋊C4C2×D4311yescharacteristic
421C4×C22⋊C4—431no—
422C2×#95—861no—
423#340—431no—
424#340—431no—
425#340C2×D4311yescharacteristic
426#340C2×D4311yescharacteristic
427#336—431no—
428#336—431no—
429C43#2285611yescharacteristic, complemented, Sylow
430C2×#41—434no—
431C2×#41—862no—
432C2×#41—862no—
433C2×#41—862no—
434C2×#41—1721no—
435C2×#41—1721no—
436C22×Q8—431no—
437C22×Q8—431no—
438C22×D4—861no—
439C22×D4C22×D4311yescharacteristic
440C23×C4—21no—
441C23×C4—431no—
442C23×C4—861no—
443C23×C4—861no—
444C2×Q16—434no—
445C2×Q16—1721no—
446C2×Q16—1721no—
447C2×SD16—434no—
448C2×SD16—862no—
449C2×SD16—862no—
450C22×C8—431no—
451C22×C8—431no—
452C22×C8—862no—
453C22×C8—862no—
454C22×C8—1721no—
455C22×C8C22×D4311yescharacteristic
456C22×C8C22×D4311yescharacteristic
457C22⋊Q8—434no—
458C22⋊Q8—862no—
459C4×Q8—862no—
460C4×Q8—1721no—
461C4×D4—22no—
462C4×D4—41no—
463C4×D4—862no—
464C4×D4—1721no—
465#117—862no—
466#117—1721no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4C22×D4311yescharacteristic
473C2×C4⋊C4C22×D4311yescharacteristic
474C2×C4⋊C4C22×D4311yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—431no—
477C2×C22⋊C4—431no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C42—21no—
483C2×C42—431no—
484C2×C42—861no—
485C2×C42—861no—
486C2×C42C22×D4311yescharacteristic
487#107—862no—
488#106—1721no—
489#103—434no—
490#103—862no—
491#103—862no—
492#103—862no—
493#103—1721no—
494#102—862no—
495#102C4×D4314yes—
496#102D17214yes—
497C22⋊C8—434no—
498#97—41no—
499#97—862no—
500#95—21no—
501#95—431no—
502#95—431no—
503#95—861no—
504#95—861no—
505#95—861no—
506#95—861no—
507#95—861no—
508#95—861no—
509#95—861no—
510#95—861no—
511C24—21no—
512C24—431no—
513#41—868no—
514#41—1724no—
515#41—1724no—
516#41—1724no—
517C2×Q8—432no—
518C2×Q8—432no—
519C2×Q8—861no—
520C2×Q8—861no—
521C2×Q8—861no—
522C2×Q8—861no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8—861no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—864no—
533C2×D4—1722no—
534C2×D4—1722no—
535C2×D4C2×C4×D4312yes—
536C2×D4C2×D17212yes—
537C2×D4#1062189812yes—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—81no—
544C22×C4—431no—
545C22×C4—432no—
546C22×C4—432no—
547C22×C4—431no—
548C22×C4—431no—
549C22×C4—864no—
550C22×C4—861no—
551C22×C4—861no—
552C22×C4—861no—
553C22×C4—861no—
554C22×C4—861no—
555C22×C4—861no—
556C22×C4—861no—
557C22×C4—861no—
558C22×C4—3441no—
559C22×C4—1722no—
560C22×C4—1722no—
561C22×C4—1722no—
562C22×C4—1722no—
563C22×C4D4×D4311yescharacteristic
564C22×C4D4×D4311yescharacteristic
565C22×C4C23×D4311yescharacteristic
566Q16—1724no—
567SD16—868no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—432no—
573C2×C8—861no—
574C2×C8—861no—
575C2×C8—861no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8—1724no—
579C2×C8C2×C4×D4312yes—
580C2×C8C2×D17212yes—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—864no—
586C4⋊C4—861no—
587C4⋊C4—861no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—1722no—
591C4⋊C4—1722no—
592C4⋊C4C2×C4×D4312yes—
593C4⋊C4C2×D17212yes—
594C22⋊C4—42no—
595C22⋊C4—864no—
596C22⋊C4—3441no—
597C22⋊C4—1721no—
598C22⋊C4—1721no—
599C22⋊C4—1722no—
600C22⋊C4—1722no—
601C42—21no—
602C42—21no—
603C42—42no—
604C42—861no—
605C42—861no—
606C42—1722no—
607C42—1722no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—432no—
616C23—861no—
617C23—861no—
618C23—861no—
619C23—861no—
620C23—861no—
621C23—861no—
622C23C2×D4×D4311yescharacteristic
623Q8—862no—
624Q8—862no—
625Q8—862no—
626Q8—862no—
627Q8—1721no—
628Q8—1721no—
629Q8—1721no—
630Q8—1721no—
631D4—22no—
632D4—22no—
633D4—22no—
634D4—1728no—
635D4C4×D17214yes—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—84no—
652C2×C4—432no—
653C2×C4—861no—
654C2×C4—861no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—862no—
659C2×C4—862no—
660C2×C4—862no—
661C2×C4—861no—
662C2×C4—861no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—3444no—
668C2×C4—1728no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4—1721no—
675C2×C4—1721no—
676C2×C4—1721no—
677C2×C4—1721no—
678C2×C4—1721no—
679C2×C4C22×C4×D4311yescharacteristic
680C2×C4C22×D17211yescharacteristic
681C2×C4#41×D4311yescharacteristic
682C2×C4C2×#1062189811yescharacteristic
683C2×C4#1306337011yescharacteristic
684C2×C4#1306337111yescharacteristic
685C8—22no—
686C8—22no—
687C8—862no—
688C8—1721no—
689C22—24no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—862no—
697C22—862no—
698C22—862no—
699C22—1721no—
700C22—1721no—
701C22—1721no—
702C22—1721no—
703C22C4×D4×D4311yescharacteristic
704C22D4×D17211yescharacteristic
705C22#1458353911yescharacteristic
706C22#1458369511yescharacteristic
707C22#1458369511yescharacteristic
708C22#1458370911yescharacteristic
709C22#1458371511yescharacteristic
710C4—41no—
711C4—42no—
712C4—41no—
713C4—42no—
714C4—81no—
715C4—862no—
716C4—3441no—
717C4—3441no—
718C4—1722no—
719C4—1722no—
720C4—1721no—
721C4—1721no—
722C4C2×C4×D17211yescharacteristic
723C4#1458337111yescharacteristic
724C4#1458354411yescharacteristic
725C4#1458357311yescharacteristic
726C2—44no—
727C2—1722no—
728C2#1913757711yescharacteristic
729C2#1914339211yescharacteristic
730C2#1914343511yescharacteristic
731C2#1914612211yescharacteristic
732C2#1914615211yescharacteristic
733C2#1914663211yescharacteristic
734C2#1914669211yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1762C2
socleC23×C43C22×D4
prime radicalC22×#10621900C22
cosocleC22×C4×C43C24
hypercenter#1762D43
hypocenterC43#22856
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1762

Complements

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

NH ≅ G/Ntype
2. C2×#14582996C2semidirect
4. #19137624C2semidirect
6. #19135466C2semidirect
7. #19135286C2semidirect
8. #19135236C2semidirect
9. #19135017C2semidirect
10. #19134937C2semidirect
11. #19134929C2semidirect
12. #19134858C2semidirect
13. #19134795C2semidirect
14. #19134372C2semidirect
15. C43×#1762C2semidirect
24. #14583062C4semidirect
76. C2×Dic172C2×C4semidirect
86. #13063305C2×C4semidirect
113. #13063248C2×C4semidirect
115. (C2×D43)⋊C8C2×C4semidirect
372. #1762D43semidirect
429. C43#22856semidirect

Maximal subgroups

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

subgroupindex
C2×#145830622
C2×#145829962
C2×#145828922
#191376242
#191374202
#191354662
#191352862
#191352362
#191350172
#191349372
#191349292
#191348582
#191347952
#191343722
C43×#17622
#2285643