Finite Group Databasebeta

← #25116889

Subgroups — #25116889

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×#14583063C211yesmaximal, characteristic
2C2×#14583001C211yesmaximal, characteristic, complemented
3C2×#14582896C211yesmaximal, characteristic
4#19137620C211yesmaximal, characteristic, complemented
5#19137426C211yesmaximal, characteristic
6#19135466C211yesmaximal, characteristic, complemented
7#19135285C211yesmaximal, characteristic, complemented
8#19135237C211yesmaximal, characteristic, complemented
9#19135018C211yesmaximal, characteristic, complemented
10#19134935C211yesmaximal, characteristic, complemented
11#19134928C211yesmaximal, characteristic, complemented
12#19134859C211yesmaximal, characteristic, complemented
13#19134796C211yesmaximal, characteristic, complemented
14#19134421C211yesmaximal, characteristic, complemented
15C43×#1752C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17C22×Dic172C2211yescharacteristic
18C22×#10621873C2211yescharacteristic
19C2×#13063304C2211yescharacteristic
20C2×C4×Dic86C2211yescharacteristic
21C2×C4×D172C2211yescharacteristic
22C2×C4×D172C2211yescharacteristic
23C2×#13063284C2211yescharacteristic
24#14583063C418yescomplemented
25#14583001—24no—
26C2×#13063259C2211yescharacteristic
27C2×#13063257C2211yescharacteristic
28#14582896—24no—
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063250C2211yescharacteristic
32C2×#13063250C2211yescharacteristic
33C2×#13063250C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063247C2211yescharacteristic
36C2×#13063247C2211yescharacteristic
37#14582805C2211yescharacteristic
38#14582805C2211yescharacteristic
39#14582805C2211yescharacteristic
40#14582797C2211yescharacteristic
41#14582793—21no—
42#14582787—21no—
43#14582781—21no—
44#14582775—21no—
45#14582775—21no—
46#14582761—21no—
47#14582759C2211yescharacteristic
48C4×C4⋊Dic43C2211yescharacteristic
49#14582750—21no—
50#95×D43—21no—
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582662C2211yescharacteristic
54#14582662C2211yescharacteristic
55C23×C8×C43C2211yescharacteristic
56C2×C22⋊C8×C43C2211yescharacteristic
57C2×#97×C43C2211yescharacteristic
58C2×#97×C43C2211yescharacteristic
59C4×C22⋊C4×C43C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C43×#336C2211yescharacteristic
62C2×#10621898—22no—
63C2×#10621898—22no—
64C2×#10621898—22no—
65C2×#10621898—41no—
66C2×#10621898—41no—
67C2×#10621898C2×C414yes—
68C22×Dic86C2311yescharacteristic
69C22×Dic86C2311yescharacteristic
70C22×D172C2311yescharacteristic
71C22×C22⋊D43—21no—
72C22×C4×D43—21no—
73C22×C4×D43—21no—
74C22×C4×D43—21no—
75C2×Dic172—41no—
76C2×Dic172—41no—
77C2×Dic172C2×C414yescomplemented
78C2×#10621873—22no—
79C2×#10621873—22no—
80C2×#10621873C2×C414yes—
81#13063304—22no—
82#13063304C2×C414yescomplemented
83C4×Dic86—22no—
84C4×Dic86—41no—
85C4×D172—22no—
86C4×D172—22no—
87C4×D172—41no—
88C4×D172—41no—
89#13063284—22no—
90#13063284—41no—
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×C4⋊Dic43C2311yescharacteristic
95C2×C4⋊Dic43C2311yescharacteristic
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4—21no—
99C2×C22⋊Dic43—21no—
100C2×C22⋊Dic43—21no—
101C2×C22⋊Dic43—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×C4×Dic43—21no—
105C2×C4×Dic43—21no—
106C2×C4×Dic43—21no—
107#13063259—22no—
108#13063257—41no—
109#13063250—22no—
110#13063250—22no—
111#13063250—22no—
112#13063250—41no—
113#13063250C2×C414yescomplemented
114#13063247—22no—
115#13063247C2×C414yes—
116#13063247D414yes—
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⋊#95—21no—
126C23×C4×C43C2311yescharacteristic
127C22×C8×C43—22no—
128C22×C8×C43—22no—
129C22×C8×C43—41no—
130C22×C8×C43C2311yescharacteristic
131C22×C8×C43C2311yescharacteristic
132C22×C8×C43C2311yescharacteristic
133C22×C8×C43C2311yescharacteristic
134C2×C22⋊C4×C43D411yescharacteristic
135C2×C22⋊C4×C43D411yescharacteristic
136C2×C42×C43C2311yescharacteristic
137C2×C42×C43C2311yescharacteristic
138C22⋊C8×C43C2×C414yescomplemented
139#97×C43—22no—
140#97×C43—41no—
141#95×C43D411yescharacteristic
142#95×C43D411yescharacteristic
143C24×C43C2×D411yescharacteristic
144C23×D43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43C22×C412yes—
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43#4112yes—
156C22×C4×C43C2411yescharacteristic
157C2×C22⋊D43—24no—
158C2×C22⋊D43—42no—
159C2×C22⋊D43—42no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167#10621898—28no—
168#10621898—44no—
169#10621898—44no—
170#10621898—44no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172C22×C412yes—
175C2×D172C2×D412yes—
176C2×D172#4112yes—
177C2×C4×D43—24no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×C4×D43—42no—
181C2×C4×D43—42no—
182C2×C4×D43—42no—
183C2×C4×D43—42no—
184C2×C4×D43—81no—
185C2×C4×D43—81no—
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×C43—21no—
203C2×C8×C43—21no—
204C2×C8×C43—21no—
205C2×C8×C43—21no—
206C2×C8×C43—21no—
207C2×C8×C43—44no—
208C2×C8×C43C22×C412yes—
209C2×C8×C43C22×C412yes—
210C2×C8×C43C2×D412yes—
211C22⋊C4×C43—41no—
212C22⋊C4×C43—41no—
213C42×C43—21no—
214C42×C43—21no—
215C42×C43—21no—
216C42×C43—21no—
217C22⋊Dic43—24no—
218C22⋊Dic43—42no—
219C22⋊Dic43—81no—
220(C2×D43)⋊C4—42no—
221(C2×D43)⋊C4—42no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—21no—
226C4⋊Dic43—21no—
227C4⋊Dic43—21no—
228C4⋊Dic43—21no—
229C4⋊Dic43—21no—
230C4⋊Dic43C22×C412yes—
231C4⋊Dic43C2×D412yes—
232Dic43⋊C4—24no—
233Dic43⋊C4—42no—
234Dic43⋊C4—42no—
235C4×Dic43—42no—
236C4×Dic43—42no—
237C4×Dic43—42no—
238Dic172—44no—
239#10621873—28no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43—21no—
244C23×C43—21no—
245C23×C43—21no—
246C23×C43C4×D412yes—
247C23×C43C22×D411yescharacteristic
248C22×D43—22no—
249C22×D43—22no—
250C22×D43—22no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
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—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—21no—
273C2×C4×C43C4×D412yes—
274C2×C4×C43C23×C411yescharacteristic
275C2×C4×C43C22×D411yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43H(5,𝔽2)11yescharacteristic
279C2×C4×C43H(5,𝔽2)11yescharacteristic
280C22⋊D43—48no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—41no—
286C2×Dic43—41no—
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—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302D172—22no—
303D172—22no—
304D172—22no—
305D172C4×D414yes—
306C4×D43—48no—
307C4×D43—84no—
308C4×D43—84no—
309Dic86—22no—
310Dic86—22no—
311Dic86—22no—
312Dic86—22no—
313Dic86—41no—
314Dic86—41no—
315Dic86—41no—
316Dic86—41no—
317C8×C43—22no—
318C8×C43—22no—
319C8×C43—22no—
320C8×C43—41no—
321#22856—431nomaximal, Sylow
322C22×C43—22no—
323C22×C43—22no—
324C22×C43—22no—
325C22×C43—41no—
326C22×C43—41no—
327C22×C43—41no—
328C22×C43—41no—
329C22×C43C2×C4×D411yescharacteristic
330C22×C43D4211yescharacteristic
331C22×C43#54611yescharacteristic
332C22×C43#57511yescharacteristic
333C22×C43#57511yescharacteristic
334C22×C43#57711yescharacteristic
335C22×C43#57811yescharacteristic
336C2×D43—24no—
337C2×D43—42no—
338C2×D43—42no—
339C2×D43—42no—
340C2×D43—42no—
341C2×D43—42no—
342C2×D43—42no—
343C4×C43—22no—
344C4×C43—41no—
345C4×C43—41no—
346C4×C43—41no—
347C4×C43—41no—
348C4×C43C2×C4×D411yescharacteristic
349C4×C43#51811yescharacteristic
350C4×C43#54611yescharacteristic
351C4×C43#55111yescharacteristic
352Dic43—42no—
353Dic43—42no—
354Dic43—42no—
355Dic43—42no—
356Dic43—81no—
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#1762—431no—
373#1752D4311yescharacteristic, complemented
374C2×C43—42no—
375C2×C43#235811yescharacteristic
376C2×C43#294311yescharacteristic
377C2×C43#294711yescharacteristic
378C2×C43#326711yescharacteristic
379C2×C43#326911yescharacteristic
380C2×C43#331111yescharacteristic
381C2×C43#331511yescharacteristic
382D43—44no—
383C22×#41—431no—
384C22×Q16—431no—
385C22×SD16—431no—
386C23×C8C2×D4311yescharacteristic
387C2×C22⋊Q8—431no—
388C2×C4×Q8—431no—
389C2×C4×D4—431no—
390C2×C4×D4—431no—
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×#102—431no—
404C2×#102—431no—
405C2×C22⋊C8C2×D4311yescharacteristic
406C2×#97C2×D4311yescharacteristic
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—431no—
420C4×C4⋊C4—861no—
421C4×C22⋊C4C2×D4311yescharacteristic
422C2×#95—861no—
423#340—431no—
424#340—431no—
425#340—431no—
426#340—431no—
427#336C2×D4311yescharacteristic
428#336C2×D4311yescharacteristic
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—431no—
439C22×D4—861no—
440C23×C4—861no—
441C23×C4—861no—
442C23×C4—861no—
443C23×C4C22×D4311yescharacteristic
444C2×Q16—434no—
445C2×Q16—1721no—
446C2×Q16—1721no—
447C2×SD16—434no—
448C2×SD16—862no—
449C2×SD16—862no—
450C22×C8—22no—
451C22×C8—22no—
452C22×C8—41no—
453C22×C8C22×D4311yescharacteristic
454C22×C8C22×D4311yescharacteristic
455C22×C8C22×D4311yescharacteristic
456C22×C8C22×D4311yescharacteristic
457C22⋊Q8—434no—
458C22⋊Q8—862no—
459C4×Q8—862no—
460C4×Q8—1721no—
461C4×D4—862no—
462C4×D4—862no—
463C4×D4—1721no—
464C4×D4—1721no—
465#117—862no—
466#117—1721no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4D17211yescharacteristic
481C2×C22⋊C4D17211yescharacteristic
482C2×C42—861no—
483C2×C42—861no—
484C2×C42—861no—
485C2×C42C22×D4311yescharacteristic
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—434no—
495#102—434no—
496#102—862no—
497C22⋊C8C4×D4314yescomplemented
498#97—22no—
499#97—41no—
500#95—861no—
501#95—861no—
502#95—861no—
503#95—861no—
504#95—861no—
505#95—861no—
506#95—861no—
507#95—861no—
508#95—861no—
509#95D17211yescharacteristic
510#95D17211yescharacteristic
511C24—861no—
512C24C2×D17211yescharacteristic
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—432no—
530C2×D4—432no—
531C2×D4—432no—
532C2×D4—864no—
533C2×D4—861no—
534C2×D4—861no—
535C2×D4—861no—
536C2×D4—1722no—
537C2×D4—1722no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—861no—
545C22×C4—861no—
546C22×C4—864no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—3441no—
551C22×C4—3441no—
552C22×C4—1722no—
553C22×C4—1722no—
554C22×C4—1722no—
555C22×C4—1722no—
556C22×C4—1722no—
557C22×C4—1722no—
558C22×C4C2×C4×D4312yes—
559C22×C4C2×D17211yescharacteristic
560C22×C4C2×D17211yescharacteristic
561C22×C4C2×D17211yescharacteristic
562C22×C4C2×D17211yescharacteristic
563C22×C4C2×D17211yescharacteristic
564C22×C4#1062189812yes—
565C22×C4C23×D4311yescharacteristic
566Q16—1724no—
567SD16—868no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—44no—
578C2×C8C2×C4×D4312yes—
579C2×C8C2×C4×D4312yes—
580C2×C8D4×D4312yes—
581C4⋊C4—432no—
582C4⋊C4—432no—
583C4⋊C4—864no—
584C4⋊C4—861no—
585C4⋊C4—861no—
586C4⋊C4—861no—
587C4⋊C4—861no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—861no—
591C4⋊C4—861no—
592C4⋊C4—1722no—
593C4⋊C4—1722no—
594C22⋊C4—41no—
595C22⋊C4—41no—
596C22⋊C4—864no—
597C22⋊C4—3441no—
598C22⋊C4—1722no—
599C22⋊C4—1722no—
600C22⋊C4—1722no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—1722no—
606C42—1722no—
607C42—1722no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—862no—
615C23—862no—
616C23—862no—
617C23—1721no—
618C23—1721no—
619C23—1721no—
620C23—1721no—
621C23C4×D17212yes—
622C23C22×D17211yescharacteristic
623Q8—862no—
624Q8—862no—
625Q8—862no—
626Q8—862no—
627Q8—1721no—
628Q8—1721no—
629Q8—1721no—
630Q8—1721no—
631D4—434no—
632D4—862no—
633D4—862no—
634D4—862no—
635D4—1728no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—862no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—3444no—
659C2×C4—3444no—
660C2×C4—1728no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
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×C4C4×D17212yes—
679C2×C4C22×C4×D4311yescharacteristic
680C2×C4C2×D4×D4311yescharacteristic
681C2×C4#41×D4311yescharacteristic
682C2×C4C2×#1062189811yescharacteristic
683C2×C4#1306337011yescharacteristic
684C2×C4#1306337111yescharacteristic
685C8—22no—
686C8—22no—
687C8—22no—
688C8—41no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—864no—
697C22—1722no—
698C22—1722no—
699C22—1722no—
700C22—1722no—
701C22—1722no—
702C22—1722no—
703C22C2×C4×D17211yescharacteristic
704C22D4×D17211yescharacteristic
705C22#1458354411yescharacteristic
706C22#1458369911yescharacteristic
707C22#1458369911yescharacteristic
708C22#1458371111yescharacteristic
709C22#1458371611yescharacteristic
710C4—22no—
711C4—41no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4—3441no—
716C4—3441no—
717C4—3441no—
718C4—1722no—
719C4—1722no—
720C4—1722no—
721C4—1722no—
722C4C4×D4×D4311yescharacteristic
723C4#1458337111yescharacteristic
724C4#1458353911yescharacteristic
725C4#1458357311yescharacteristic
726C2—42no—
727C2—1724no—
728C2#1913757711yescharacteristic
729C2#1914339711yescharacteristic
730C2#1914344011yescharacteristic
731C2#1914612511yescharacteristic
732C2#1914615511yescharacteristic
733C2#1914663311yescharacteristic
734C2#1914669311yescharacteristic
subgroupG/H
centerC23C22×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1752C2
socleC23×C43C22×D4
prime radicalC22×#10621898C22
cosocleC22×C4×C43C24
hypercenter#1752D43
hypocenterC43#22856
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #1752

Complements

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

NH ≅ G/Ntype
2. C2×#14583001C2semidirect
4. #19137620C2semidirect
6. #19135466C2semidirect
7. #19135285C2semidirect
8. #19135237C2semidirect
9. #19135018C2semidirect
10. #19134935C2semidirect
11. #19134928C2semidirect
12. #19134859C2semidirect
13. #19134796C2semidirect
14. #19134421C2semidirect
15. C43×#1752C2semidirect
24. #14583063C4semidirect
77. C2×Dic172C2×C4semidirect
82. #13063304C2×C4semidirect
113. #13063250C2×C4semidirect
138. C22⋊C8×C43C2×C4semidirect
373. #1752D43semidirect
429. C43#22856semidirect
497. C22⋊C8C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830632
C2×#145830012
C2×#145828962
#191376202
#191374262
#191354662
#191352852
#191352372
#191350182
#191349352
#191349282
#191348592
#191347962
#191344212
C43×#17522
#2285643