Finite Group Databasebeta

← #25103115

Subgroups — #25103115

Order 11008.

1010 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583128C211yesmaximal, characteristic
2C2×C4×#10621873C211yesmaximal, characteristic, complemented
3#19137288C211yesmaximal, characteristic
4#19137277C211yesmaximal, characteristic, complemented
5#19135449C211yesmaximal, characteristic, complemented
6#19135323C211yesmaximal, characteristic, complemented
7#19135292C211yesmaximal, characteristic, complemented
8#19135285C211yesmaximal, characteristic, complemented
9#19135033C211yesmaximal, characteristic
10#19135028C211yesmaximal, characteristic, complemented
11#19134620C211yesmaximal, characteristic, complemented
12C4×#13063257C211yesmaximal, characteristic, complemented
13#19134426C211yesmaximal, characteristic, complemented
14#19134421C211yesmaximal, characteristic, complemented
15C2×C43×#405C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C2×#13063304C2211yescharacteristic
18C2×#13063299C2211yescharacteristic
19C2×C4×Dic86C2211yescharacteristic
20C2×C4×D172C2211yescharacteristic
21#14583128C418yescomplemented
22C4×#10621873—24no—
23C2×#13063257C2211yescharacteristic
24C2×#13063257C2211yescharacteristic
25C2×#13063257C2211yescharacteristic
26C2×#13063250C2211yescharacteristic
27C2×#13063250C2211yescharacteristic
28C2×#13063250C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32#14582805C2211yescharacteristic
33#14582801C2211yescharacteristic
34#14582799—21no—
35#14582797C2211yescharacteristic
36#14582797C2211yescharacteristic
37#14582794—21no—
38#14582793—21no—
39#14582789—21no—
40#14582787—21no—
41#14582780—21no—
42#14582775—21no—
43#14582770—21no—
44#14582759C2211yescharacteristic
45#14582759C2211yescharacteristic
46C4×C4⋊Dic43C2211yescharacteristic
47C4×C4⋊Dic43C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582662C2211yescharacteristic
54C22×M16×C43C2211yescharacteristic
55C23×C8×C43C2211yescharacteristic
56C2×#117×C43C2211yescharacteristic
57C43×#405—24no—
58C2×#97×C43C2211yescharacteristic
59C2×#97×C43C2211yescharacteristic
60C2×C4×C8×C43C2211yescharacteristic
61C2×C4×C8×C43C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×D172C2311yescharacteristic
64C22×C22⋊D43—21no—
65C22×C4×D43—21no—
66C2×#10621873—22no—
67C2×#10621873—22no—
68C2×#10621873C2×C414yes—
69#13063304—22no—
70#13063304C2×C414yescomplemented
71#13063299—22no—
72#13063299C2×C414yes—
73C4×Dic86—22no—
74C4×Dic86—22no—
75C4×D172—22no—
76C4×D172—22no—
77C2×C4⋊Dic43C2311yescharacteristic
78C2×C4⋊Dic43C2311yescharacteristic
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×Dic43⋊C4—21no—
84C2×Dic43⋊C4—21no—
85C2×Dic43⋊C4—21no—
86C2×Dic43⋊C4—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×(C2×D43)⋊C4—21no—
91C2×(C2×D43)⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×C4×Dic43—21no—
95C2×C4×Dic43—21no—
96C2×C4×Dic43—21no—
97#13063257—22no—
98#13063257—22no—
99#13063257C2×C414yescomplemented
100#13063250—22no—
101#13063250—22no—
102#13063250C2×C414yescomplemented
103#13063247—22no—
104#13063247—22no—
105#13063247C2×C414yes—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C23×C4×C43C2311yescharacteristic
115C2×M16×C43—22no—
116C2×M16×C43—22no—
117C2×M16×C43—22no—
118C22×C8×C43—22no—
119C22×C8×C43—22no—
120C22×C8×C43C2×C414yescomplemented
121C22×C8×C43C2311yescharacteristic
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125#117×C43—22no—
126#117×C43—22no—
127C2×C4⋊C4×C43D411yescharacteristic
128C2×C4⋊C4×C43D411yescharacteristic
129C2×C22⋊C4×C43D411yescharacteristic
130C2×C22⋊C4×C43D411yescharacteristic
131C2×C42×C43C2311yescharacteristic
132C2×C42×C43C2311yescharacteristic
133#97×C43—22no—
134#97×C43—22no—
135C4×C8×C43—22no—
136C4×C8×C43D414yescomplemented
137C24×C43C2×D411yescharacteristic
138C23×D43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43C22×C412yes—
144C22×C4×C43C2×D411yescharacteristic
145C22×C4×C43C2×D411yescharacteristic
146C22×C4×C43C2×D411yescharacteristic
147C22×C4×C43C2×D411yescharacteristic
148C22×C4×C43C2×D411yescharacteristic
149C22×C4×C43#4112yes—
150C22×C4×C43C2411yescharacteristic
151C2×C22⋊D43—24no—
152C2×C22⋊D43—81no—
153C2×C22⋊D43—81no—
154C22×Dic43—21no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C2×D172—21no—
162C2×D172—21no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—21no—
166C2×D172C22×C412yes—
167C2×C4×D43—42no—
168C2×C4×D43—81no—
169C2×C4×D43—81no—
170C2×Dic86—21no—
171C2×Dic86—21no—
172C2×Dic86—21no—
173C2×Dic86—21no—
174C2×Dic86—21no—
175C2×Dic86C22×C412yes—
176M16×C43—28no—
177C2×C8×C43—21no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43—28no—
184C2×C8×C43C22×C412yes—
185C2×C8×C43C22×C412yes—
186C2×C8×C43C2×D412yes—
187C2×C8×C43C2×D412yes—
188C2×C8×C43#4112yes—
189C2×C8×C43#4112yes—
190C4⋊C4×C43—22no—
191C4⋊C4×C43—22no—
192C22⋊C4×C43—22no—
193C22⋊C4×C43—22no—
194C42×C43—21no—
195C42×C43—21no—
196C42×C43C2×D412yes—
197C42×C43#4112yes—
198C22⋊Dic43—24no—
199C22⋊Dic43—81no—
200C22⋊Dic43—81no—
201(C2×D43)⋊C4—24no—
202(C2×D43)⋊C4—42no—
203(C2×D43)⋊C4—81no—
204(C2×D43)⋊C4—81no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43C22×C412yes—
216C4⋊Dic43C22×C412yes—
217Dic43⋊C4—24no—
218Dic43⋊C4—42no—
219Dic43⋊C4—81no—
220Dic43⋊C4—81no—
221C4×Dic43—42no—
222C4×Dic43—81no—
223C4×Dic43—81no—
224#10621873—28no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—21no—
230C23×C43—21no—
231C23×C43C4×D412yes—
232C23×C43C22×D411yescharacteristic
233C22×D43—22no—
234C22×D43—41no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
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—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43C4×D412yes—
257C2×C4×C43#12112yes—
258C2×C4×C43#12112yes—
259C2×C4×C43C23×C411yescharacteristic
260C2×C4×C43C22×D411yescharacteristic
261C2×C4×C43C2×#4111yescharacteristic
262C2×C4×C43C2×#4111yescharacteristic
263C2×C4×C43C2×#4111yescharacteristic
264C2×C4×C43C2×#4111yescharacteristic
265C22⋊D43—84no—
266C2×Dic43—22no—
267C2×Dic43—22no—
268C2×Dic43—22no—
269C2×Dic43—41no—
270C2×Dic43—41no—
271C2×Dic43—41no—
272C2×Dic43—41no—
273C2×Dic43—41no—
274C2×Dic43—41no—
275C2×Dic43—41no—
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×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287D172—22no—
288D172—22no—
289D172—41no—
290D172—41no—
291C4×D43—84no—
292Dic86—22no—
293Dic86—22no—
294Dic86—41no—
295Dic86—41no—
296C8×C43—22no—
297C8×C43—22no—
298C8×C43—22no—
299C8×C43C4×D414yes—
300#21523—431nomaximal, Sylow
301C22×C43—22no—
302C22×C43—22no—
303C22×C43—22no—
304C22×C43—41no—
305C22×C43—41no—
306C22×C43—41no—
307C22×C43—41no—
308C22×C43C2×C4×D411yescharacteristic
309C22×C43C2×#12111yescharacteristic
310C22×C43#53211yescharacteristic
311C22×C43#57711yescharacteristic
312C22×C43#57711yescharacteristic
313C22×C43#57711yescharacteristic
314C22×C43#57711yescharacteristic
315C2×D43—42no—
316C2×D43—42no—
317C2×D43—42no—
318C2×D43—81no—
319C2×D43—81no—
320C2×D43—81no—
321C2×D43—81no—
322C4×C43—22no—
323C4×C43—22no—
324C4×C43—22no—
325C4×C43—41no—
326C4×C43—41no—
327C4×C43C2×C4×D411yescharacteristic
328C4×C43C4×#4111yescharacteristic
329C4×C43#52511yescharacteristic
330C4×C43#52911yescharacteristic
331Dic43—42no—
332Dic43—42no—
333Dic43—42no—
334Dic43—81no—
335Dic43—81no—
336Dic43—81no—
337Dic43—81no—
338C2×#465—431no—
339C2×C4×SD16—431no—
340C2×#405D4311yescharacteristic, complemented
341#2324—431no—
342#2323—431no—
343#1968—431no—
344#1941—431no—
345#1936—431no—
346#1935—431no—
347#1895—431no—
348#1894—431no—
349#1807—431no—
350C4×#106—431no—
351#1763—431no—
352#1762—431no—
353C2×C43—42no—
354C2×C43C4×#12111yescharacteristic
355C2×C43#294911yescharacteristic
356C2×C43#295211yescharacteristic
357C2×C43#305711yescharacteristic
358C2×C43#306011yescharacteristic
359C2×C43#317311yescharacteristic
360C2×C43#317411yescharacteristic
361D43—82no—
362C22×SD16—431no—
363C22×M16C2×D4311yescharacteristic
364C23×C8C2×D4311yescharacteristic
365C2×C22⋊Q8—431no—
366C2×#121—431no—
367C2×C4×Q8—431no—
368C2×C4×D4—431no—
369C2×#117C2×D4311yescharacteristic
370#465—438no—
371C4×SD16—864no—
372C2×#106—431no—
373C2×#106—431no—
374C2×#106—431no—
375C2×#103—431no—
376C2×#103—431no—
377C2×#103—431no—
378C2×#102—431no—
379C2×#102—431no—
380C2×#102—431no—
381#405—24no—
382C2×#97C2×D4311yescharacteristic
383C2×#97C2×D4311yescharacteristic
384C2×C4×C8C2×D4311yescharacteristic
385C2×C4×C8C2×D4311yescharacteristic
386#391—431no—
387#390—431no—
388#390—861no—
389#389—431no—
390#389—431no—
391#389—861no—
392#388—861no—
393#388—861no—
394#388—861no—
395#387—861no—
396#386—861no—
397#385—861no—
398#380—431no—
399#380—431no—
400C4×C4⋊C4—431no—
401C4×C4⋊C4—431no—
402#340—431no—
403#340—431no—
404#340—431no—
405#340—431no—
406#340—431no—
407#340—431no—
408C43#2152311yescharacteristic, complemented, Sylow
409C22×Q8—431no—
410C22×D4—431no—
411C22×D4—861no—
412C23×C4—861no—
413C23×C4C22×D4311yescharacteristic
414C2×SD16—434no—
415C2×SD16—862no—
416C2×SD16—862no—
417C2×M16—22no—
418C2×M16—22no—
419C2×M16—22no—
420C22×C8—22no—
421C22×C8—22no—
422C22×C8C4×D4314yescomplemented
423C22×C8C22×D4311yescharacteristic
424C22×C8C22×D4311yescharacteristic
425C22×C8C22×D4311yescharacteristic
426C22×C8C22×D4311yescharacteristic
427C22⋊Q8—434no—
428C22⋊Q8—862no—
429#121—434no—
430#121—862no—
431C4×Q8—862no—
432C4×Q8—862no—
433C4×D4—862no—
434C4×D4—862no—
435#117—22no—
436#117—22no—
437C2×C4⋊C4—431no—
438C2×C4⋊C4—431no—
439C2×C4⋊C4—431no—
440C2×C4⋊C4—431no—
441C2×C4⋊C4—431no—
442C2×C4⋊C4—431no—
443C2×C4⋊C4—861no—
444C2×C4⋊C4—861no—
445C2×C4⋊C4—861no—
446C2×C4⋊C4—861no—
447C2×C4⋊C4D17211yescharacteristic
448C2×C4⋊C4D17211yescharacteristic
449C2×C22⋊C4—861no—
450C2×C22⋊C4—861no—
451C2×C22⋊C4—861no—
452C2×C22⋊C4—861no—
453C2×C22⋊C4—861no—
454C2×C22⋊C4—861no—
455C2×C22⋊C4—861no—
456C2×C22⋊C4D17211yescharacteristic
457C2×C22⋊C4D17211yescharacteristic
458C2×C42—861no—
459C2×C42—861no—
460C2×C42—861no—
461C2×C42C22×D4311yescharacteristic
462C2×C42C22×D4311yescharacteristic
463#106—434no—
464#106—862no—
465#106—862no—
466#103—434no—
467#103—862no—
468#103—862no—
469#102—434no—
470#102—862no—
471#102—862no—
472#97—22no—
473#97—22no—
474C4×C8—22no—
475C4×C8C22⋊D4314yescomplemented
476#95—861no—
477#95—861no—
478#95—861no—
479#95—861no—
480#95—861no—
481#95—861no—
482#95—861no—
483#95—861no—
484C24—861no—
485C24C2×D17211yescharacteristic
486C2×Q8—432no—
487C2×Q8—861no—
488C2×Q8—861no—
489C2×Q8—861no—
490C2×Q8—861no—
491C2×Q8—861no—
492C2×D4—432no—
493C2×D4—864no—
494C2×D4—861no—
495C2×D4—861no—
496C2×D4—861no—
497C2×D4—861no—
498C2×D4—861no—
499C2×D4—3441no—
500C2×D4—3441no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—861no—
506C22×C4—861no—
507C22×C4—861no—
508C22×C4—861no—
509C22×C4—861no—
510C22×C4—861no—
511C22×C4—861no—
512C22×C4—3441no—
513C22×C4—3441no—
514C22×C4—1722no—
515C22×C4C2×C4×D4312yes—
516C22×C4C2×D17211yescharacteristic
517C22×C4C2×D17211yescharacteristic
518C22×C4C2×D17211yescharacteristic
519C22×C4C2×D17211yescharacteristic
520C22×C4C2×D17211yescharacteristic
521C22×C4#1062189812yes—
522C22×C4C23×D4311yescharacteristic
523SD16—868no—
524M16—28no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—28no—
532C2×C8C2×C4×D4312yes—
533C2×C8C2×C4×D4312yes—
534C2×C8#1062189812yes—
535C2×C8#1062189812yes—
536C2×C8C2×C22⋊D4312yes—
537C2×C8C2×C22⋊D4312yes—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—432no—
541C4⋊C4—432no—
542C4⋊C4—864no—
543C4⋊C4—861no—
544C4⋊C4—861no—
545C4⋊C4—861no—
546C4⋊C4—861no—
547C4⋊C4—861no—
548C4⋊C4—861no—
549C4⋊C4—861no—
550C4⋊C4—861no—
551C4⋊C4—861no—
552C4⋊C4—861no—
553C4⋊C4—3441no—
554C4⋊C4—3441no—
555C4⋊C4—1722no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—864no—
559C22⋊C4—864no—
560C22⋊C4—3441no—
561C22⋊C4—3441no—
562C22⋊C4—3441no—
563C22⋊C4—3441no—
564C22⋊C4—1722no—
565C42—21no—
566C42—21no—
567C42—3441no—
568C42—3441no—
569C42—1722no—
570C42#1062189812yes—
571C42C2×C22⋊D4312yes—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—862no—
579C23—1721no—
580C23—1721no—
581C23—1721no—
582C23—1721no—
583C23—1721no—
584C23—1721no—
585C23C4×D17212yes—
586C23C22×D17211yescharacteristic
587Q8—862no—
588Q8—862no—
589Q8—1721no—
590Q8—1721no—
591D4—862no—
592D4—862no—
593D4—3444no—
594D4—1721no—
595D4—1721no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—862no—
613C2×C4—862no—
614C2×C4—862no—
615C2×C4—3444no—
616C2×C4—1721no—
617C2×C4—1721no—
618C2×C4—1721no—
619C2×C4—1721no—
620C2×C4—1721no—
621C2×C4—1721no—
622C2×C4—1721no—
623C2×C4—1721no—
624C2×C4—1721no—
625C2×C4—1721no—
626C2×C4—1721no—
627C2×C4—1721no—
628C2×C4—1721no—
629C2×C4—1721no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4C4×D17212yes—
635C2×C4#1306329912yes—
636C2×C4#1306329912yes—
637C2×C4C22×C4×D4311yescharacteristic
638C2×C4C22×C22⋊D4311yescharacteristic
639C2×C4C2×#1062189811yescharacteristic
640C2×C4C2×#1062189811yescharacteristic
641C2×C4C2×#1062189811yescharacteristic
642C2×C4C2×#1062189811yescharacteristic
643C8—22no—
644C8—22no—
645C8—22no—
646C8C4×C22⋊D4314yes—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—3441no—
655C22—3441no—
656C22—3441no—
657C22—3441no—
658C22—1722no—
659C22—1722no—
660C22—1722no—
661C22C2×C4×D17211yescharacteristic
662C22C2×#1306329911yescharacteristic
663C22#1458344911yescharacteristic
664C22#1458371111yescharacteristic
665C22#1458371111yescharacteristic
666C22#1458371111yescharacteristic
667C22#1458371111yescharacteristic
668C4—22no—
669C4—22no—
670C4—22no—
671C4—41no—
672C4—41no—
673C4—3441no—
674C4—3441no—
675C4—3441no—
676C4—3441no—
677C4—1722no—
678C4—1722no—
679C4—1722no—
680C4C2×C4×C22⋊D4311yescharacteristic
681C4C4×#1062189811yescharacteristic
682C4#1458341011yescharacteristic
683C4#1458343311yescharacteristic
684C2—42no—
685C2—3442no—
686C2C4×#1306329911yescharacteristic
687C2#1914345611yescharacteristic
688C2#1914348011yescharacteristic
689C2#1914423411yescharacteristic
690C2#1914425711yescharacteristic
691C2#1914521211yescharacteristic
692C2#1914522311yescharacteristic
subgroupG/H
centerC23C22×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#405C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
cosocleC22×C4×C43C24
hypercenterC2×#405D43
hypocenterC43#21523
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#405

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621873C2semidirect
4. #19137277C2semidirect
5. #19135449C2semidirect
6. #19135323C2semidirect
7. #19135292C2semidirect
8. #19135285C2semidirect
10. #19135028C2semidirect
11. #19134620C2semidirect
12. C4×#13063257C2semidirect
13. #19134426C2semidirect
14. #19134421C2semidirect
15. C2×C43×#405C2semidirect
21. #14583128C4semidirect
70. #13063304C2×C4semidirect
99. #13063257C2×C4semidirect
102. #13063250C2×C4semidirect
120. C22×C8×C43C2×C4semidirect
136. C4×C8×C43D4semidirect
340. C2×#405D43semidirect
408. C43#21523semidirect
422. C22×C8C4×D43semidirect
475. C4×C8C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145831282
C2×C4×#106218732
#191372882
#191372772
#191354492
#191353232
#191352922
#191352852
#191350332
#191350282
#191346202
C4×#130632572
#191344262
#191344212
C2×C43×#4052
#2152343