Finite Group Databasebeta

← #25113076

Subgroups — #25113076

Order 11008.

1262 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148159C211yesmaximal, characteristic
2#19143330C211yesmaximal, characteristic, complemented
3C4×#13063287C211yesmaximal, characteristic, complemented
4#19135571C211yesmaximal, characteristic, complemented
5#19135538C211yesmaximal, characteristic, complemented
6#19135035C212yesmaximal, complemented
7#19134894C212yesmaximal, complemented
8#19134693C212yesmaximal, complemented
9C4×#13063252C211yesmaximal, characteristic, complemented
10#339×D43C212yesmaximal, complemented
11C43×#1806C211yesmaximal, characteristic, complemented
12C2×M16×D43C2212yes—
13#14583622C411yescharacteristic, complemented
14#14583614C411yescharacteristic, complemented
15#14583609C411yescharacteristic, complemented
16#14583599C412yescomplemented
17#14583590C412yescomplemented
18#14583589—21no—
19#14583578—22no—
20#14583554C411yescharacteristic, complemented
21#14583545—21no—
22#14583456C2211yescharacteristic
23#14583433—21no—
24#14583427—22no—
25#14583406C2212yes—
26C4×#10621898—21no—
27C2×C4×D172C2211yescharacteristic
28C2×#13063287—21no—
29#117×D43C2212yes—
30C2×C42×D43C2212yes—
31#14582976—21no—
32#14582969—22no—
33#14582964—21no—
34C2×#13063252C2211yescharacteristic
35C2×#13063252C2211yescharacteristic
36#14582862C2212yes—
37C4×#10621877C2211yescharacteristic
38C4⋊C4×Dic43—21no—
39C4×(C2×D43)⋊C4C2212yes—
40#14582746—22no—
41C42×Dic43C2211yescharacteristic
42#14582660C2212yes—
43#14582660C2212yes—
44#14582659C2212yes—
45#14582659C2212yes—
46#14582658C2211yescharacteristic
47#14582658C2211yescharacteristic
48C4×#41×C43C2211yescharacteristic
49C43×#423C2211yescharacteristic
50C2×#104×C43C2212yes—
51C4×C4⋊C4×C43C2211yescharacteristic
52C43×#339C2212yes—
53C2×#10621898—21no—
54C22×D172D411yescharacteristic
55C22×C4×D43—22no—
56C22×C4×D43C2312yes—
57C2×#10621877C2311yescharacteristic
58C2×#10621877C2311yescharacteristic
59C2×#10621872—22no—
60M16×D43—24no—
61M16×D43—42no—
62C2×C8×D43—22no—
63#13063325C2×C411yescharacteristic, complemented
64#13063325C2×C411yescharacteristic, complemented
65#13063320—22no—
66#13063319—22no—
67#13063318—22no—
68#13063317—21no—
69#13063317C2×C412yescomplemented
70#13063315—22no—
71#13063313—21no—
72#13063311—22no—
73#13063310—22no—
74#13063308—22no—
75#13063307—22no—
76#13063306—22no—
77#13063304—21no—
78#13063304—21no—
79#13063304—21no—
80#13063303—22no—
81#13063301C2×C412yescomplemented
82#13063301C2×C412yescomplemented
83#13063299—21no—
84#13063298—22no—
85#13063296C2×C412yescomplemented
86#13063296C2×C412yescomplemented
87#13063293—22no—
88C4×Dic86—21no—
89C4×Dic86—21no—
90C4×Dic86—21no—
91C4×D172—21no—
92C4×D172C2×C411yescharacteristic
93C4×D172C2×C412yes—
94C4×D172C2×C411yescharacteristic
95C4×D172D411yescharacteristic
96C4×D172D412yes—
97C4×D172D411yescharacteristic
98#13063287—28no—
99C4×C22⋊D43—22no—
100C4×C22⋊D43—22no—
101C4×C22⋊D43—22no—
102#13063284—21no—
103#13063284C2312yes—
104#13063283C2×C412yescomplemented
105#13063283C2×C412yescomplemented
106#13063282—22no—
107#13063282—22no—
108#13063281—22no—
109C2×C4⋊Dic43D411yescharacteristic
110C4⋊C4×D43C2×C412yescomplemented
111C4⋊C4×D43C2×C412yescomplemented
112C2×(C2×D43)⋊C4—22no—
113C2×(C2×D43)⋊C4D412yes—
114C22⋊C4×D43—22no—
115C2×C4×Dic43—21no—
116C2×C4×Dic43—21no—
117C2×C4×Dic43—22no—
118C2×C4×Dic43C2311yescharacteristic
119C2×C4×Dic43C2311yescharacteristic
120C42×D43—22no—
121C42×D43—24no—
122C42×D43—42no—
123#13063252—22no—
124#13063252—22no—
125(C2×D43)⋊C8—22no—
126(C2×D43)⋊C8—22no—
127#13063236—21no—
128C4×C43⋊C8—21no—
129C43⋊#95—22no—
130C2×#41×C43C2311yescharacteristic
131C2×M16×C43C2312yes—
132C4×Q8×C43C2×C411yescharacteristic, complemented
133C4×Q8×C43C2×C411yescharacteristic, complemented
134C4×D4×C43—21no—
135C4×D4×C43—21no—
136C4×D4×C43C2×C411yescharacteristic, complemented
137C4×D4×C43C2×C411yescharacteristic, complemented
138#117×C43—21no—
139#117×C43C2311yescharacteristic
140C2×C4⋊C4×C43—21no—
141C2×C42×C43—21no—
142C2×C42×C43C2312yes—
143C2×C42×C43C2311yescharacteristic
144C4⋊C8×C43—21no—
145C4⋊C8×C43—21no—
146#104×C43—42no—
147#95×C43—21no—
148C23×D43C2×D412yes—
149#41×C43—21no—
150#41×C43—21no—
151#41×C43—21no—
152#41×C43—21no—
153C2×Q8×C43C22×C411yescharacteristic
154C2×D4×C43—21no—
155C2×D4×C43C22×C411yescharacteristic
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—22no—
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2411yescharacteristic
163C2×C22⋊D43—22no—
164C2×C22⋊D43—22no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43C2×D412yes—
168#10621898—44no—
169C2×D172—24no—
170C2×D172C22⋊C412yes—
171C2×D172C22⋊C411yescharacteristic
172C2×D172C22⋊C411yescharacteristic
173C2×C4×D43—22no—
174C2×C4×D43—22no—
175C2×C4×D43—22no—
176C2×C4×D43—22no—
177C2×C4×D43—28no—
178C2×C4×D43—22no—
179C2×C4×D43—22no—
180C2×C4×D43—44no—
181C2×C4×D43—44no—
182C2×C4×D43C22×C412yes—
183C2×C4×D43C22×C412yes—
184C2×C4×D43C2×D412yes—
185C2×C4×D43C2×D412yes—
186C2×Dic86—21no—
187C2×Dic86—21no—
188M16×C43—22no—
189M16×C43—22no—
190C2×C8×C43—22no—
191C4⋊C4×C43—24no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43C22×C411yescharacteristic
195C4⋊C4×C43C22×C411yescharacteristic
196C22⋊C4×C43—21no—
197C22⋊C4×C43—21no—
198C22⋊C4×C43—21no—
199C42×C43—21no—
200C42×C43—21no—
201C42×C43—21no—
202C42×C43—22no—
203C42×C43—22no—
204C42×C43C22×C411yescharacteristic
205C42×C43C22×C411yescharacteristic
206C42×C43C2×D411yescharacteristic
207C42×C43C2×D411yescharacteristic
208C22⋊Dic43—22no—
209C22⋊Dic43—22no—
210C22⋊Dic43—22no—
211(C2×D43)⋊C4—28no—
212(C2×D43)⋊C4—22no—
213(C2×D43)⋊C4—22no—
214(C2×D43)⋊C4—22no—
215(C2×D43)⋊C4—22no—
216(C2×D43)⋊C4C22⋊C412yes—
217(C2×D43)⋊C4C22⋊C412yes—
218(C2×D43)⋊C4C22⋊C412yes—
219(C2×D43)⋊C4C22⋊C412yes—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43C22⋊C411yescharacteristic
223C4⋊Dic43C22⋊C411yescharacteristic
224C4⋊Dic43C22⋊C412yes—
225C4⋊Dic43C22×C412yes—
226C4⋊Dic43C22×C412yes—
227Dic43⋊C4—22no—
228Dic43⋊C4—22no—
229Dic43⋊C4—22no—
230Dic43⋊C4—22no—
231Dic43⋊C4—22no—
232Dic43⋊C4—22no—
233C4×Dic43—24no—
234C4×Dic43—22no—
235C4×Dic43—21no—
236C4×Dic43—22no—
237C4×Dic43—22no—
238C4×Dic43—21no—
239C4×Dic43—21no—
240C4×Dic43—44no—
241C4×Dic43—42no—
242C4×Dic43#4112yescomplemented
243#10621877—21no—
244#10621877—21no—
245#10621877—21no—
246#10621877#4112yescomplemented
247C2×C43⋊C8—21no—
248C2×C43⋊C8—21no—
249#10621872—44no—
250C8×D43—44no—
251C23×C43—21no—
252C23×C43C22×D411yescharacteristic
253C22×D43—22no—
254C22×D43—22no—
255C22×D43—24no—
256C22×D43—42no—
257C22×D43C2×C22⋊C412yes—
258C22×D43C2×C22⋊C412yes—
259Q8×C43—21no—
260Q8×C43—21no—
261D4×C43—21no—
262D4×C43—21no—
263D4×C43—41no—
264D4×C43—41no—
265C2×C4×C43—22no—
266C2×C4×C43—24no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—41no—
271C2×C4×C43—42no—
272C2×C4×C43—42no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—42no—
276C2×C4×C43—81no—
277C2×C4×C43C2×C22⋊C411yescharacteristic
278C2×C4×C43C2×C22⋊C411yescharacteristic
279C2×C4×C43C2×C22⋊C411yescharacteristic
280C2×C4×C43C2×C22⋊C411yescharacteristic
281C2×C4×C43C23×C411yescharacteristic
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43H(5,𝔽2)11yescharacteristic
286C2×C4×C432−1+411yescharacteristic
287C22⋊D43—44no—
288C22⋊D43—82no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43C2×C22⋊C412yes—
300C2×Dic43C2×C22⋊C412yes—
301D172—24no—
302D172—22no—
303D172#10414yescomplemented
304C4×D43—22no—
305C4×D43—22no—
306C4×D43—22no—
307C4×D43—22no—
308C4×D43—22no—
309C4×D43—22no—
310C4×D43—22no—
311C4×D43—22no—
312C4×D43—416no—
313C4×D43—44no—
314C4×D43—82no—
315Dic86—42no—
316Dic86—81no—
317C8×C43—42no—
318C43⋊C8—22no—
319C43⋊C8—41no—
320#22505—431nomaximal, Sylow
321C22×C43—21no—
322C22×C43—21no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43—41no—
326C22×C43C22×C22⋊C411yescharacteristic
327C22×C43#54611yescharacteristic
328C22×C43#54711yescharacteristic
329C2×D43—22no—
330C2×D43—22no—
331C2×D43—22no—
332C2×D43—22no—
333C2×D43—22no—
334C2×D43—44no—
335C2×D43—44no—
336C2×D43C2×#10414yes—
337C4×C43—21no—
338C4×C43—21no—
339C4×C43—21no—
340C4×C43—44no—
341C4×C43—41no—
342C4×C43—41no—
343C4×C43—41no—
344C4×C43C2×#10412yes—
345C4×C43C4×#4111yescharacteristic
346C4×C43#52011yescharacteristic
347C4×C43#54611yescharacteristic
348C4×C43#54711yescharacteristic
349Dic43—24no—
350Dic43—22no—
351Dic43—22no—
352Dic43—42no—
353Dic43—42no—
354Dic43—42no—
355#3475—431no—
356D4×M16—431no—
357C42×D4—431no—
358#1994—431no—
359#1986—431no—
360#1896—432no—
361#1871—432no—
362#1826—432no—
363#1806D4311yescharacteristic, complemented
364C4×#104—431no—
365C2×#339—432no—
366C2×C43—21no—
367C2×C43—21no—
368C2×C43—81no—
369C2×C43#233911yescharacteristic
370C2×C43C22×#10411yescharacteristic
371C2×C43#290111yescharacteristic
372D43—24no—
373D43—42no—
374C22×M16—432no—
375#556—431no—
376#555—431no—
377#554—431no—
378#553—432no—
379#552—432no—
380#552—861no—
381#551—862no—
382#547—431no—
383#546—861no—
384#533—431no—
385#529—861no—
386#529—862no—
387#525—432no—
388C4×#41—861no—
389C4×#41C2×D4311yescharacteristic
390C2×C4×D4—431no—
391C2×C4×D4—861no—
392C2×#117—432no—
393C22×C42—432no—
394#436—861no—
395#435—862no—
396C8×D4—861no—
397#423C2×D4311yescharacteristic
398C2×#104—431no—
399C2×#104—431no—
400C2×#104C2×D4312yes—
401#407—432no—
402C4×M16—431no—
403C4×C4⋊C4—861no—
404C4×C4⋊C4C2×D4311yescharacteristic
405C4×C22⋊C4—432no—
406C4×C22⋊C4—862no—
407C43—431no—
408#339—432no—
409#339—432no—
410#339—431no—
411#339—431no—
412#339—432no—
413#339—432no—
414#339C2×D4312yes—
415C43#2250511yescharacteristic, complemented, Sylow
416C2×#41—861no—
417C2×#41C22×D4311yescharacteristic
418C22×D4—431no—
419C23×C4—432no—
420C23×C4—862no—
421C2×M16—431no—
422C2×M16—431no—
423C2×M16—862no—
424C2×M16—864no—
425C2×M16—1722no—
426C2×M16C22×D4312yes—
427C22×C8—862no—
428C4⋊Q8—431no—
429C4⋊Q8—431no—
430#126—862no—
431#126—862no—
432#126—862no—
433#125—432no—
434#125—861no—
435#125—862no—
436#124—861no—
437#124—862no—
438#123—862no—
439#123—862no—
440#123—862no—
441#123—862no—
442C22⋊Q8—432no—
443C22⋊Q8—432no—
444C22⋊Q8—862no—
445C22⋊Q8—861no—
446C22⋊Q8—861no—
447C22⋊Q8—861no—
448#121—432no—
449#121—432no—
450#121—862no—
451#121—861no—
452#120—862no—
453C4×Q8—861no—
454C4×Q8—861no—
455C4×Q8—861no—
456C4×Q8C4×D4311yescharacteristic, complemented
457C4×Q8C4×D4311yescharacteristic, complemented
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—431no—
461C4×D4—432no—
462C4×D4—431no—
463C4×D4—431no—
464C4×D4—432no—
465C4×D4—431no—
466C4×D4—861no—
467C4×D4—862no—
468C4×D4—868no—
469C4×D4—862no—
470C4×D4—862no—
471C4×D4C4×D4311yescharacteristic, complemented
472C4×D4C4×D4311yescharacteristic, complemented
473#117—21no—
474#117—432no—
475#117—432no—
476#117—432no—
477#117—862no—
478#117—862no—
479#117—862no—
480#117—861no—
481#117C22×D4311yescharacteristic
482C2×C4⋊C4—21no—
483C2×C4⋊C4—431no—
484C2×C4⋊C4—432no—
485C2×C4⋊C4—432no—
486C2×C22⋊C4—432no—
487C2×C22⋊C4—862no—
488C2×C22⋊C4—862no—
489C2×C42—21no—
490C2×C42—431no—
491C2×C42—431no—
492C2×C42—864no—
493C2×C42—862no—
494C2×C42—861no—
495C2×C42—862no—
496C2×C42—861no—
497C2×C42—1722no—
498C2×C42C22×D4312yes—
499C2×C42C22×D4311yescharacteristic
500C4⋊C8—21no—
501C4⋊C8—21no—
502#104—42no—
503#104—862no—
504#104—862no—
505C22⋊C8—862no—
506C22⋊C8—862no—
507#97—861no—
508C4×C8—861no—
509#95—21no—
510#95—862no—
511C24—432no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—1724no—
517C2×Q8—861no—
518C2×Q8—861no—
519C2×Q8C2×C4×D4311yescharacteristic
520C2×D4—21no—
521C2×D4—431no—
522C2×D4—432no—
523C2×D4—431no—
524C2×D4—864no—
525C2×D4—862no—
526C2×D4—862no—
527C2×D4C2×C4×D4311yescharacteristic
528C22×C4—22no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—432no—
533C22×C4—432no—
534C22×C4—432no—
535C22×C4—432no—
536C22×C4—432no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—868no—
540C22×C4—861no—
541C22×C4—862no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—862no—
545C22×C4—861no—
546C22×C4—1724no—
547C22×C4—1724no—
548C22×C4D4×D4311yescharacteristic
549C22×C4D4×D4311yescharacteristic
550C22×C4C23×D4311yescharacteristic
551M16—22no—
552M16—22no—
553M16—432no—
554M16—861no—
555M16—861no—
556M16—861no—
557M16—1724no—
558C2×C8—22no—
559C2×C8—861no—
560C2×C8—861no—
561C2×C8—1724no—
562C4⋊C4—24no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—431no—
566C4⋊C4—431no—
567C4⋊C4—432no—
568C4⋊C4—432no—
569C4⋊C4—432no—
570C4⋊C4—862no—
571C4⋊C4—862no—
572C4⋊C4—862no—
573C4⋊C4—862no—
574C4⋊C4—861no—
575C4⋊C4—862no—
576C4⋊C4—862no—
577C4⋊C4—861no—
578C4⋊C4C2×C4×D4311yescharacteristic
579C4⋊C4C2×C4×D4311yescharacteristic
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—432no—
584C22⋊C4—432no—
585C22⋊C4—432no—
586C22⋊C4—432no—
587C22⋊C4—862no—
588C22⋊C4—862no—
589C22⋊C4—862no—
590C22⋊C4—862no—
591C22⋊C4—868no—
592C22⋊C4—862no—
593C22⋊C4—862no—
594C22⋊C4—862no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—22no—
599C42—22no—
600C42—432no—
601C42—862no—
602C42—862no—
603C42—864no—
604C42—862no—
605C42—861no—
606C42—861no—
607C42—861no—
608C42—1724no—
609C42—1722no—
610C42C2×C4×D4311yescharacteristic
611C42C2×C4×D4311yescharacteristic
612C42D4×D4311yescharacteristic
613C42D4×D4311yescharacteristic
614C23—21no—
615C23—432no—
616C23—432no—
617C23—864no—
618C23—862no—
619C23—862no—
620C23—1722no—
621C23C2×D4×D4311yescharacteristic
622Q8—21no—
623Q8—21no—
624Q8—3441no—
625Q8—1722no—
626D4—21no—
627D4—21no—
628D4—41no—
629D4—41no—
630D4—434no—
631D4—864no—
632D4—862no—
633D4—3442no—
634D4—1724no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—41no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—81no—
647C2×C4—432no—
648C2×C4—432no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—862no—
652C2×C4—862no—
653C2×C4—862no—
654C2×C4—862no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—862no—
659C2×C4—862no—
660C2×C4—862no—
661C2×C4—862no—
662C2×C4—862no—
663C2×C4—862no—
664C2×C4—862no—
665C2×C4—3442no—
666C2×C4—17216no—
667C2×C4—1724no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4C22⋊C4×D4311yescharacteristic
671C2×C4C22⋊C4×D4311yescharacteristic
672C2×C4C22⋊C4×D4311yescharacteristic
673C2×C4C22⋊C4×D4311yescharacteristic
674C2×C4C22×C4×D4311yescharacteristic
675C2×C4C2×D4×D4311yescharacteristic
676C2×C4#41×D4311yescharacteristic
677C2×C4#41×D4311yescharacteristic
678C2×C4#1306337011yescharacteristic
679C2×C4#1306337311yescharacteristic
680C8—42no—
681C8—862no—
682C8—1721no—
683C22—21no—
684C22—21no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—434no—
689C22—862no—
690C22—862no—
691C22—862no—
692C22—862no—
693C22—862no—
694C22—1724no—
695C22—1724no—
696C22C2×C22⋊C4×D4311yescharacteristic
697C22#1458354611yescharacteristic
698C22#1458355111yescharacteristic
699C4—21no—
700C4—21no—
701C4—21no—
702C4—44no—
703C4—41no—
704C4—41no—
705C4—41no—
706C4—864no—
707C4—862no—
708C4—862no—
709C4—1722no—
710C4—1722no—
711C4—1722no—
712C4#104×D4312yes—
713C4#1458336711yescharacteristic
714C4#1458338011yescharacteristic
715C4#1458354611yescharacteristic
716C4#1458355111yescharacteristic
717C2—21no—
718C2—21no—
719C2—81no—
720C2—864no—
721C2—1722no—
722C2#1913742311yescharacteristic
723C2C2×#104×D4311yescharacteristic
724C2#1914314111yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1806C2
socleC22×C43C22×C22⋊C4
prime radical#19148159C2
cosocleC22×C4×C43C24
hypercenter#1806D43
hypocenterC43#22505
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1806

Complements

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

NH ≅ G/Ntype
2. #19143330C2semidirect
3. C4×#13063287C2semidirect
4. #19135571C2semidirect
5. #19135538C2semidirect
6. #19135035C2semidirect
7. #19134894C2semidirect
8. #19134693C2semidirect
9. C4×#13063252C2semidirect
10. #339×D43C2semidirect
11. C43×#1806C2semidirect
13. #14583622C4semidirect
14. #14583614C4semidirect
15. #14583609C4semidirect
16. #14583599C4semidirect
17. #14583590C4semidirect
20. #14583554C4semidirect
63. #13063325C2×C4semidirect
64. #13063325C2×C4semidirect
69. #13063317C2×C4semidirect
81. #13063301C2×C4semidirect
82. #13063301C2×C4semidirect
85. #13063296C2×C4semidirect
86. #13063296C2×C4semidirect
104. #13063283C2×C4semidirect
105. #13063283C2×C4semidirect
110. C4⋊C4×D43C2×C4semidirect
111. C4⋊C4×D43C2×C4semidirect
132. C4×Q8×C43C2×C4semidirect
133. C4×Q8×C43C2×C4semidirect
136. C4×D4×C43C2×C4semidirect
137. C4×D4×C43C2×C4semidirect
242. C4×Dic43#41semidirect
246. #10621877#41semidirect
303. D172#104semidirect
363. #1806D43semidirect
415. C43#22505semidirect
456. C4×Q8C4×D43semidirect
457. C4×Q8C4×D43semidirect
471. C4×D4C4×D43semidirect
472. C4×D4C4×D43semidirect

Maximal subgroups

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

subgroupindex
#191481592
#191433302
C4×#130632872
#191355712
#191355382
#191350352
#191348942
#191346932
C4×#130632522
#339×D432
C43×#18062
#2250543