Finite Group Databasebeta

← #25100293

Subgroups — #25100293

Order 11008.

1526 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583474C211yesmaximal, characteristic
2C2×#14582899C211yesmaximal, characteristic
3C2×#14582906C211yesmaximal, characteristic, complemented
4C2×#14582894C211yesmaximal, characteristic
5C2×#103×D43C211yesmaximal, characteristic, complemented
6C2×#14582853C211yesmaximal, characteristic, complemented
7#19137216C211yesmaximal, characteristic, complemented
8#19135416C211yesmaximal, characteristic, complemented
9#19135413C211yesmaximal, characteristic, complemented
10#19135409C211yesmaximal, characteristic, complemented
11#19135408C211yesmaximal, characteristic, complemented
12#19135406C211yesmaximal, characteristic, complemented
13#19135403C211yesmaximal, characteristic, complemented
14#19135395C211yesmaximal, characteristic, complemented
15C43×#1956C211yesmaximal, characteristic, complemented
16C22×#10621902C2211yescharacteristic
17C22×Q8×D43C2211yescharacteristic
18C22×#10621872C2211yescharacteristic
19C22×C8×D43C2211yescharacteristic
20#14583474—24no—
21#14583474C418yescomplemented
22C2×#13063323C2211yescharacteristic
23C2×#13063314C2211yescharacteristic
24C2×#13063313C2211yescharacteristic
25C2×#13063310—22no—
26C2×#13063303—22no—
27C2×#13063283C2211yescharacteristic
28C2×#13063282C2211yescharacteristic
29C2×C4⋊C4×D43C2211yescharacteristic
30#14582906—24no—
31#14582899—24no—
32#14582894—24no—
33C2×#13063250C2211yescharacteristic
34C2×#13063250C2211yescharacteristic
35C2×#13063249C2211yescharacteristic
36C2×#13063249C2211yescharacteristic
37C2×#13063249C2211yescharacteristic
38C2×#13063249C2211yescharacteristic
39C2×#13063248C2211yescharacteristic
40C2×#13063248C2211yescharacteristic
41#103×D43—24no—
42C2×#13063247C2211yescharacteristic
43C2×#13063247C2211yescharacteristic
44C2×#13063245C2211yescharacteristic
45C2×#13063245C2211yescharacteristic
46#14582853—24no—
47C2×#13063236C2211yescharacteristic
48C2×#13063235C2211yescharacteristic
49C2×C8×Dic43C2211yescharacteristic
50#14582794—22no—
51#14582770—22no—
52#14582768C2211yescharacteristic
53#14582765C2211yescharacteristic
54#14582764C2211yescharacteristic
55C2×C4⋊Q8×C43C2211yescharacteristic
56C2×#103×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×C4×C8×C43C2211yescharacteristic
61C43×#384C2211yescharacteristic
62C2×#10621902—22no—
63C2×#10621902—22no—
64C2×#10621902—22no—
65C2×#10621902—22no—
66C2×#10621902—22no—
67C2×#10621902C2×C414yes—
68C22×Dic86—21no—
69C22×Dic86C2311yescharacteristic
70C2×Q8×D43—22no—
71C2×Q8×D43—22no—
72C2×Q8×D43—22no—
73C2×Q8×D43—22no—
74C2×Q8×D43—22no—
75C2×Q8×D43C2×C414yes—
76C22×D172—21no—
77C22×D172C2311yescharacteristic
78C22×C4×D43—21no—
79C22×C4×D43—21no—
80C22×C4×D43—21no—
81C22×C4×D43C2311yescharacteristic
82C2×#10621872—22no—
83C2×#10621872—22no—
84C2×#10621872D414yes—
85C22×C43⋊C8C2311yescharacteristic
86C22×C43⋊C8C2311yescharacteristic
87C2×C8×D43—22no—
88C2×C8×D43—22no—
89C2×C8×D43D414yes—
90#13063323—22no—
91#13063323C2×C414yescomplemented
92#13063314—22no—
93#13063314C2×C414yescomplemented
94#13063313—22no—
95#13063313C2×C414yescomplemented
96#13063310—216no—
97#13063303—216no—
98#13063283—22no—
99#13063283—22no—
100#13063282C2×C414yes—
101#13063282D414yes—
102C2×C4⋊Dic43C2311yescharacteristic
103C2×C4⋊Dic43C2311yescharacteristic
104C2×Dic43⋊C4—22no—
105C2×Dic43⋊C4—21no—
106C2×Dic43⋊C4—22no—
107C2×Dic43⋊C4D412yes—
108C4⋊C4×D43—22no—
109C4⋊C4×D43—22no—
110C2×(C2×D43)⋊C4—22no—
111C2×(C2×D43)⋊C4—22no—
112C2×(C2×D43)⋊C4—21no—
113C2×(C2×D43)⋊C4D412yes—
114C2×C4×Dic43—21no—
115C2×C4×Dic43C2311yescharacteristic
116#13063250—22no—
117#13063250—22no—
118#13063249—22no—
119#13063249—22no—
120#13063249—22no—
121#13063249—22no—
122#13063248—22no—
123#13063248—22no—
124#13063247—22no—
125#13063247—22no—
126#13063245—22no—
127#13063245—22no—
128#13063236—22no—
129#13063235—22no—
130C8×Dic43—22no—
131C43⋊#95—22no—
132C43⋊#95—22no—
133C22×Q8×C43C2311yescharacteristic
134C22×Q8×C43C2311yescharacteristic
135C22×C8×C43C2311yescharacteristic
136C22×C8×C43C2311yescharacteristic
137C4⋊Q8×C43—22no—
138C4⋊Q8×C43C2×C414yescomplemented
139C2×C4⋊C4×C43—22no—
140C2×C4⋊C4×C43—22no—
141C2×C4⋊C4×C43C2311yescharacteristic
142C2×C4⋊C4×C43C2311yescharacteristic
143C2×C42×C43C2311yescharacteristic
144#103×C43—22no—
145#103×C43—22no—
146#103×C43—22no—
147#103×C43—22no—
148C4×C8×C43—22no—
149C23×D43—21no—
150C23×D43C2×D411yescharacteristic
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43—21no—
156C2×Q8×C43—21no—
157C2×Q8×C43—21no—
158C2×Q8×C43—21no—
159C2×Q8×C43—21no—
160C2×Q8×C43—21no—
161C2×Q8×C43C22×C412yes—
162C2×Q8×C43C22×C412yes—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43C2×D412yes—
168C22×C4×C43C2411yescharacteristic
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43C2×D412yes—
173C22×Dic43C2×D411yescharacteristic
174#10621902—28no—
175#10621902—28no—
176#10621902—44no—
177#10621902—44no—
178Q8×D43—28no—
179Q8×D43—28no—
180Q8×D43—44no—
181Q8×D43—44no—
182C2×D172—21no—
183C2×D172—24no—
184C2×D172—21no—
185C2×D172—21no—
186C2×D172—21no—
187C2×D172—21no—
188C2×D172—42no—
189C2×D172—42no—
190C2×D172C22×C412yes—
191C2×C4×D43—24no—
192C2×C4×D43—24no—
193C2×C4×D43—42no—
194C2×C4×D43—42no—
195C2×C4×D43—42no—
196C2×C4×D43—42no—
197C2×C4×D43—42no—
198C2×C4×D43—82no—
199C2×C4×D43C22×C412yes—
200C2×C4×D43C2×D412yes—
201C2×C4×D43C2×D412yes—
202C2×C4×D43C2×D412yes—
203C2×C4×D43#4112yes—
204C2×C4×D43#4112yes—
205C2×Dic86—21no—
206C2×Dic86—21no—
207C2×Dic86—21no—
208C2×Dic86—21no—
209C2×Dic86—21no—
210C2×Dic86—24no—
211C2×Dic86—42no—
212C2×Dic86—42no—
213C2×Dic86C22×C412yes—
214C2×C8×C43—21no—
215C2×C8×C43—21no—
216C2×C8×C43—21no—
217C2×C8×C43—21no—
218C2×C8×C43C2×D412yes—
219C2×C8×C43C2×D412yes—
220C4⋊C4×C43—28no—
221C4⋊C4×C43—21no—
222C4⋊C4×C43—21no—
223C4⋊C4×C43—21no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—82no—
226C42×C43C22×C412yes—
227C42×C43C2×D412yes—
228(C2×D43)⋊C4—28no—
229(C2×D43)⋊C4—28no—
230(C2×D43)⋊C4—42no—
231(C2×D43)⋊C4C22⋊C418yes—
232C4⋊Dic43—21no—
233C4⋊Dic43—21no—
234C4⋊Dic43—21no—
235C4⋊Dic43—21no—
236Dic43⋊C4—28no—
237Dic43⋊C4—42no—
238Dic43⋊C4—82no—
239Dic43⋊C4C22⋊C418yes—
240C4×Dic43—42no—
241C4×Dic43C22×C412yes—
242C4×Dic43C2×D412yes—
243C2×C43⋊C8—21no—
244C2×C43⋊C8—21no—
245C2×C43⋊C8—21no—
246C2×C43⋊C8—21no—
247C2×C43⋊C8C2×D412yes—
248C2×C43⋊C8C2×D412yes—
249#10621872—28no—
250C8×D43—28no—
251C23×C43C22×D411yescharacteristic
252C22×D43—22no—
253C22×D43—22no—
254C22×D43—22no—
255C22×D43—41no—
256C22×D43—41no—
257C22×D43—42no—
258C22×D43—42no—
259C22×D43C2×C22⋊C412yes—
260C22×D43#12412yes—
261C22×D43#12712yes—
262Q8×C43—22no—
263Q8×C43—22no—
264Q8×C43—22no—
265Q8×C43—22no—
266Q8×C43—41no—
267Q8×C43—41no—
268Q8×C43—41no—
269Q8×C43—41no—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—22no—
273C2×C4×C43—22no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—42no—
281C2×C4×C43—42no—
282C2×C4×C43C2×C22⋊C414yes—
283C2×C4×C43C23×C411yescharacteristic
284C2×C4×C43C22×D411yescharacteristic
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C2×#4111yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—42no—
297C2×Dic43—42no—
298C2×Dic43C2×C22⋊C414yes—
299C2×Dic43C2×C22⋊C412yes—
300C2×Dic43#12412yes—
301C2×Dic43#12712yes—
302D172—22no—
303D172—22no—
304D172—48no—
305D172—41no—
306D172—41no—
307C4×D43—48no—
308C4×D43—48no—
309C4×D43—84no—
310C4×D43C4×D414yes—
311C4×D43C4×D414yes—
312C4×D43#12114yes—
313C4×D43#12114yes—
314Dic86—22no—
315Dic86—22no—
316Dic86—41no—
317Dic86—41no—
318Dic86—48no—
319C8×C43—22no—
320C8×C43—22no—
321C43⋊C8—22no—
322C43⋊C8—22no—
323#21205—431nomaximal, Sylow
324C22×C43C22×C22⋊C411yescharacteristic
325C22×C43C2×#12411yescharacteristic
326C22×C43C2×#12711yescharacteristic
327C22×C43#57712yes—
328C22×C43#57812yes—
329C2×D43—24no—
330C2×D43—24no—
331C2×D43—22no—
332C2×D43—22no—
333C2×D43—44no—
334C2×D43—42no—
335C2×D43—82no—
336C2×D43—81no—
337C2×D43—81no—
338C2×D43#39014yes—
339C4×C43—24no—
340C4×C43—42no—
341C4×C43—42no—
342C4×C43—81no—
343C4×C43—81no—
344C4×C43C2×C4×D411yescharacteristic
345C4×C43C2×C4×D411yescharacteristic
346C4×C43C2×#12111yescharacteristic
347C4×C43C2×#12111yescharacteristic
348Dic43—24no—
349Dic43—42no—
350Dic43—81no—
351Dic43—81no—
352Dic43#39014yes—
353C2×#536—431no—
354C2×#417—431no—
355C2×#419—431no—
356C2×#416—431no—
357C22×#103—431no—
358C2×#405—431no—
359#2317—431no—
360#1960—431no—
361#1960—431no—
362#1959—431no—
363#1959—431no—
364#1958—431no—
365#1958—431no—
366#1956—431no—
367#1956D4311yescharacteristic, complemented
368C2×C43C2×#39011yescharacteristic
369C2×C43#289812yes—
370C2×C43#313712yes—
371C2×C43#315411yescharacteristic
372C2×C43#315611yescharacteristic
373D43—24no—
374D43—82no—
375C22×#41—431no—
376C23×Q8—431no—
377C22×M16—431no—
378C23×C8—431no—
379#536—438no—
380#536—864no—
381C2×C4⋊Q8—431no—
382C2×C4⋊Q8C2×D4311yescharacteristic
383C2×#124—431no—
384C2×#124—431no—
385C2×#123—862no—
386C2×C22⋊Q8—862no—
387C2×#117—431no—
388C2×#117—431no—
389C22×C4⋊C4—431no—
390#419—864no—
391#417—864no—
392#416—864no—
393C2×#103—431no—
394C2×#103—431no—
395C2×#103—431no—
396C2×#103—431no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—864no—
402C2×#103C2×D4311yescharacteristic
403C2×#103C2×D4311yescharacteristic
404C2×#103C2×D4311yescharacteristic
405C2×#103C2×D4311yescharacteristic
406C2×#102—431no—
407C2×#102—431no—
408C2×#102—431no—
409C2×#102—431no—
410#405—864no—
411C2×#97—431no—
412C2×#97—431no—
413C2×C4×C8—431no—
414C2×C4×C8C2×D4311yescharacteristic
415#389—862no—
416#385—862no—
417#384—431no—
418#384C2×D4311yescharacteristic
419#382—431no—
420#382—431no—
421C43#2120511yescharacteristic, complemented, Sylow
422C2×#41—434no—
423C2×#41—862no—
424C2×#41—862no—
425C2×#41—862no—
426C2×#41—862no—
427C2×#41—862no—
428C22×Q8—434no—
429C22×Q8—431no—
430C22×Q8—861no—
431C22×Q8—862no—
432C22×Q8—862no—
433C22×Q8—862no—
434C22×Q8—862no—
435C22×Q8—862no—
436C22×Q8C22×D4311yescharacteristic
437C22×Q8C22×D4311yescharacteristic
438C22×D4—431no—
439C22×D4—861no—
440C23×C4—431no—
441C23×C4—861no—
442C23×C4—861no—
443C23×C4—861no—
444C2×M16—434no—
445C2×M16—862no—
446C2×M16—862no—
447C22×C8—431no—
448C22×C8—431no—
449C22×C8—434no—
450C22×C8—862no—
451C22×C8—862no—
452C22×C8C22×D4311yescharacteristic
453C22×C8C22×D4311yescharacteristic
454C4⋊Q8—22no—
455C4⋊Q8—434no—
456C4⋊Q8—862no—
457C4⋊Q8C4×D4314yescomplemented
458#124—434no—
459#124—434no—
460#124—862no—
461#124—862no—
462#123—8616no—
463C22⋊Q8—8616no—
464#117—434no—
465#117—434no—
466#117—862no—
467#117—862no—
468C2×C4⋊C4—22no—
469C2×C4⋊C4—22no—
470C2×C4⋊C4—432no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—862no—
474C2×C4⋊C4—862no—
475C2×C4⋊C4—862no—
476C2×C4⋊C4—862no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4C22×D4311yescharacteristic
479C2×C4⋊C4C22×D4311yescharacteristic
480C2×C22⋊C4—432no—
481C2×C22⋊C4—862no—
482C2×C22⋊C4—862no—
483C2×C22⋊C4—861no—
484C2×C42—431no—
485C2×C42—861no—
486C2×C42C22×D4311yescharacteristic
487#103—22no—
488#103—22no—
489#103—22no—
490#103—22no—
491#103—862no—
492#103—862no—
493#103—862no—
494#103—862no—
495#103—862no—
496#103—862no—
497#103—862no—
498#103—862no—
499#102—862no—
500#102—862no—
501#102—862no—
502#102—862no—
503#97—862no—
504#97—862no—
505C4×C8—22no—
506C4×C8—862no—
507#95—862no—
508#95—862no—
509C24—431no—
510C24—861no—
511#41—868no—
512#41—868no—
513#41—1724no—
514#41—1724no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—432no—
526C2×Q8—864no—
527C2×Q8—868no—
528C2×Q8—868no—
529C2×Q8—861no—
530C2×Q8—861no—
531C2×Q8—861no—
532C2×Q8—861no—
533C2×Q8—861no—
534C2×Q8—1722no—
535C2×Q8—1722no—
536C2×Q8—1724no—
537C2×Q8—1724no—
538C2×Q8C2×C4×D4312yes—
539C2×Q8C2×C4×D4312yes—
540C2×D4—432no—
541C2×D4—864no—
542C2×D4—861no—
543C2×D4—861no—
544C2×D4—861no—
545C2×D4—861no—
546C2×D4—861no—
547C2×D4—1722no—
548C2×D4—1722no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—431no—
554C22×C4—432no—
555C22×C4—432no—
556C22×C4—432no—
557C22×C4—432no—
558C22×C4—432no—
559C22×C4—432no—
560C22×C4—432no—
561C22×C4—864no—
562C22×C4—864no—
563C22×C4—861no—
564C22×C4—861no—
565C22×C4—861no—
566C22×C4—3442no—
567C22×C4—1722no—
568C22×C4—1722no—
569C22×C4—1722no—
570C22×C4—1722no—
571C22×C4—1722no—
572C22×C4D4×D4312yes—
573C22×C4C23×D4311yescharacteristic
574M16—868no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—432no—
580C2×C8—432no—
581C2×C8—868no—
582C2×C8—861no—
583C2×C8—861no—
584C2×C8—861no—
585C2×C8—861no—
586C2×C8D4×D4312yes—
587C2×C8D4×D4312yes—
588C4⋊C4—28no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—82no—
594C4⋊C4—438no—
595C4⋊C4—868no—
596C4⋊C4—861no—
597C4⋊C4—861no—
598C4⋊C4—861no—
599C4⋊C4—861no—
600C4⋊C4—3442no—
601C4⋊C4—1722no—
602C22⋊C4—438no—
603C22⋊C4—868no—
604C22⋊C4—868no—
605C22⋊C4—1722no—
606C42—432no—
607C42—432no—
608C42—1722no—
609C42C2×C4×D4312yes—
610C42D4×D4312yes—
611C23—432no—
612C23—432no—
613C23—432no—
614C23—862no—
615C23—862no—
616C23—862no—
617C23—1721no—
618C23—1721no—
619C23—1722no—
620C23—1722no—
621C23C2×D4×D4311yescharacteristic
622Q8—22no—
623Q8—22no—
624Q8—22no—
625Q8—22no—
626Q8—41no—
627Q8—41no—
628Q8—41no—
629Q8—41no—
630Q8—862no—
631Q8—862no—
632Q8—1728no—
633Q8—1721no—
634Q8—1721no—
635D4—862no—
636D4—862no—
637D4—1728no—
638D4—1721no—
639D4—1721no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—432no—
653C2×C4—432no—
654C2×C4—432no—
655C2×C4—434no—
656C2×C4—434no—
657C2×C4—434no—
658C2×C4—434no—
659C2×C4—434no—
660C2×C4—862no—
661C2×C4—862no—
662C2×C4—862no—
663C2×C4—3444no—
664C2×C4—1728no—
665C2×C4—1728no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1722no—
669C2×C4—1722no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4C22⋊C4×D4314yes—
673C2×C4C22×C4×D4311yescharacteristic
674C2×C4C2×D4×D4311yescharacteristic
675C2×C4C2×D4×D4311yescharacteristic
676C2×C4C2×D4×D4311yescharacteristic
677C2×C4#41×D4311yescharacteristic
678C2×C4#41×D4311yescharacteristic
679C8—22no—
680C8—22no—
681C8—862no—
682C8—862no—
683C22—434no—
684C22—862no—
685C22—862no—
686C22—864no—
687C22—864no—
688C22—3441no—
689C22—3441no—
690C22—3442no—
691C22—1722no—
692C22—1724no—
693C22C2×C22⋊C4×D4311yescharacteristic
694C22#124×D4311yescharacteristic
695C22#127×D4311yescharacteristic
696C22#1458370512yes—
697C22#1458371212yes—
698C4—24no—
699C4—42no—
700C4—42no—
701C4—81no—
702C4—81no—
703C4—434no—
704C4—864no—
705C4—3441no—
706C4—3441no—
707C4—1722no—
708C4C4×D4×D4311yescharacteristic
709C4C4×D4×D4311yescharacteristic
710C4#121×D4311yescharacteristic
711C4#121×D4311yescharacteristic
712C2—864no—
713C2—3442no—
714C2#390×D4311yescharacteristic
715C2#1914312312yes—
716C2#1914495512yes—
717C2#1914506411yescharacteristic
718C2#1914508311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1956C2
socleC23×C43C22×D4
prime radicalC22×#10621902C22
cosocleC22×C4×C43C24
hypercenter#1956D43
hypocenterC43#21205
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1956

Complements

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

NH ≅ G/Ntype
3. C2×#14582906C2semidirect
5. C2×#103×D43C2semidirect
6. C2×#14582853C2semidirect
7. #19137216C2semidirect
8. #19135416C2semidirect
9. #19135413C2semidirect
10. #19135409C2semidirect
11. #19135408C2semidirect
12. #19135406C2semidirect
13. #19135403C2semidirect
14. #19135395C2semidirect
15. C43×#1956C2semidirect
21. #14583474C4semidirect
91. #13063323C2×C4semidirect
93. #13063314C2×C4semidirect
95. #13063313C2×C4semidirect
138. C4⋊Q8×C43C2×C4semidirect
367. #1956D43semidirect
421. C43#21205semidirect
457. C4⋊Q8C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145834742
C2×#145828992
C2×#145829062
C2×#145828942
C2×#103×D432
C2×#145828532
#191372162
#191354162
#191354132
#191354092
#191354082
#191354062
#191354032
#191353952
C43×#19562
#2120543