Finite Group Databasebeta

← #25101751

Subgroups — #25101751

Order 11008.

1086 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583510C211yesmaximal, characteristic
2C2×#14582959C211yesmaximal, characteristic
3#19136949C211yesmaximal, characteristic
4#19135552C211yesmaximal, characteristic, complemented
5#19135550C211yesmaximal, characteristic, complemented
6#19135519C211yesmaximal, characteristic, complemented
7#19134904C211yesmaximal, characteristic
8#19134904C211yesmaximal, characteristic
9#19134899C211yesmaximal, characteristic
10#19134899C211yesmaximal, characteristic
11#19134427C211yesmaximal, characteristic, complemented
12#19134427C211yesmaximal, characteristic, complemented
13#103×Dic43C211yesmaximal, characteristic, complemented
14#103×Dic43C211yesmaximal, characteristic, complemented
15C43×#1981C211yesmaximal, characteristic, complemented
16#14583510—24no—
17#14583510C418yescomplemented
18C2×#13063320—21no—
19C2×#13063320—21no—
20C2×#13063317C2211yescharacteristic
21C2×#13063315—21no—
22C2×#13063315—21no—
23C2×#13063301C2211yescharacteristic
24C2×#13063301C2211yescharacteristic
25C2×Q8×Dic43C2211yescharacteristic
26C2×Q8×Dic43C2211yescharacteristic
27C2×#13063283C2211yescharacteristic
28C2×#13063282C2211yescharacteristic
29C2×C4⋊C4×D43C2211yescharacteristic
30#14582959—24no—
31C2×C4⋊(C43⋊C8)C2211yescharacteristic
32C2×#13063249C2211yescharacteristic
33C2×#13063249C2211yescharacteristic
34C2×#13063249C2211yescharacteristic
35C2×#13063249C2211yescharacteristic
36C2×(C2×D43)⋊C8C2211yescharacteristic
37C2×(C2×D43)⋊C8C2211yescharacteristic
38C2×#13063235C2211yescharacteristic
39C2×C8×Dic43C2211yescharacteristic
40C4⋊C4×Dic43C2211yescharacteristic
41C4⋊C4×Dic43C2211yescharacteristic
42C4×Dic43⋊C4—21no—
43C4×C4⋊Dic43C2211yescharacteristic
44#14582750—21no—
45C4×(C2×D43)⋊C4—21no—
46#14582746—21no—
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×C4⋊Q8×C43C2211yescharacteristic
56C2×C4⋊C8×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#103×C43C2211yescharacteristic
61C4×C4⋊C4×C43C2211yescharacteristic
62C22×C4×D43—21no—
63C22×C4×D43C2311yescharacteristic
64C22×C43⋊C8C2311yescharacteristic
65C22×C43⋊C8C2311yescharacteristic
66#13063320—28no—
67#13063320—28no—
68#13063317—22no—
69#13063317C2×C414yescomplemented
70#13063315—28no—
71#13063315—28no—
72#13063301—22no—
73#13063301—22no—
74#13063301C2×C414yes—
75#13063301C2×C414yes—
76Q8×Dic43—22no—
77Q8×Dic43—22no—
78Q8×Dic43C2×C414yescomplemented
79Q8×Dic43C2×C414yescomplemented
80#13063283—22no—
81#13063283—22no—
82#13063282C2×C414yes—
83#13063282D414yes—
84C2×C4⋊Dic43—21no—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4D411yescharacteristic
96C2×Dic43⋊C4D411yescharacteristic
97C4⋊C4×D43—22no—
98C4⋊C4×D43—22no—
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×Dic43—21no—
107C2×C4×Dic43—21no—
108C2×C4×Dic43—21no—
109C2×C4×Dic43—21no—
110C2×C4×Dic43C2311yescharacteristic
111C4⋊(C43⋊C8)—22no—
112#13063249—22no—
113#13063249—22no—
114#13063249—22no—
115#13063249—22no—
116(C2×D43)⋊C8—22no—
117(C2×D43)⋊C8—22no—
118#13063235—22no—
119C8×Dic43—22no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C22×Q8×C43C2311yescharacteristic
124C22×Q8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C4⋊Q8×C43—22no—
128C4⋊Q8×C43C2×C414yescomplemented
129C2×C4⋊C4×C43—21no—
130C2×C4⋊C4×C43—21no—
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C42×C43—21no—
134C2×C42×C43C2311yescharacteristic
135C4⋊C8×C43—22no—
136#103×C43—22no—
137#103×C43—22no—
138#103×C43—22no—
139#103×C43—22no—
140#95×C43—21no—
141C23×D43C2×D411yescharacteristic
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43C22×C412yes—
153C2×Q8×C43C22×C412yes—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2411yescharacteristic
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43C2×D411yescharacteristic
166C22×Dic43C2×D411yescharacteristic
167C22×Dic43C2×D411yescharacteristic
168C2×C4×D43—21no—
169C2×C4×D43—21no—
170C2×C4×D43—21no—
171C2×C4×D43—21no—
172C2×C4×D43—24no—
173C2×C4×D43—81no—
174C2×C4×D43—81no—
175C2×C4×D43C22×C412yes—
176C2×C4×D43C2×D412yes—
177C2×C8×C43—21no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C4⋊C4×C43—24no—
184C4⋊C4×C43—24no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43#4112yes—
188C4⋊C4×C43#4112yes—
189C42×C43—81no—
190C42×C43C22×C412yes—
191C42×C43C2×D412yes—
192(C2×D43)⋊C4—24no—
193(C2×D43)⋊C4—24no—
194(C2×D43)⋊C4—24no—
195(C2×D43)⋊C4C22⋊C414yes—
196(C2×D43)⋊C4C22⋊C414yes—
197C4⋊Dic43—21no—
198C4⋊Dic43—21no—
199C4⋊Dic43—21no—
200C4⋊Dic43—21no—
201C4⋊Dic43—24no—
202C4⋊Dic43—24no—
203C4⋊Dic43C22×C412yes—
204C4⋊Dic43C22×C412yes—
205C4⋊Dic43#4112yes—
206C4⋊Dic43#4112yes—
207Dic43⋊C4—24no—
208Dic43⋊C4—24no—
209Dic43⋊C4—24no—
210Dic43⋊C4—24no—
211Dic43⋊C4—24no—
212Dic43⋊C4C22⋊C414yes—
213Dic43⋊C4C22⋊C414yes—
214C4×Dic43—24no—
215C4×Dic43—24no—
216C4×Dic43—24no—
217C4×Dic43—81no—
218C4×Dic43—81no—
219C4×Dic43—81no—
220C4×Dic43C22×C412yes—
221C4×Dic43C2×D412yes—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C23×C43C22×D411yescharacteristic
229C22×D43—21no—
230C22×D43—21no—
231C22×D43—21no—
232C22×D43—21no—
233C22×D43—21no—
234C22×D43—21no—
235C22×D43C2×C22⋊C412yes—
236Q8×C43—22no—
237Q8×C43—22no—
238Q8×C43—22no—
239Q8×C43—22no—
240Q8×C43—41no—
241Q8×C43—41no—
242Q8×C43—41no—
243Q8×C43—41no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43C2×C22⋊C412yes—
261C2×C4×C43C2×C22⋊C412yes—
262C2×C4×C43C23×C411yescharacteristic
263C2×C4×C43C22×D411yescharacteristic
264C2×C4×C43C2×#4111yescharacteristic
265C2×C4×C43C2×#4111yescharacteristic
266C2×C4×C43C2×#4111yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×Dic43—21no—
269C2×Dic43—21no—
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—22no—
277C2×Dic43—22no—
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×Dic43C2×C22⋊C412yes—
287C2×Dic43C2×C22⋊C412yes—
288C2×Dic43C2×C22⋊C412yes—
289C4×D43—22no—
290C4×D43—22no—
291C4×D43—22no—
292C4×D43—22no—
293C4×D43—84no—
294C8×C43—41no—
295C8×C43—41no—
296C43⋊C8—41no—
297C43⋊C8—41no—
298#21398—431nomaximal, Sylow
299C22×C43C22×C22⋊C411yescharacteristic
300C22×C43#52511yescharacteristic
301C22×C43#52511yescharacteristic
302C22×C43#57711yescharacteristic
303C22×C43#57711yescharacteristic
304C22×C43#57811yescharacteristic
305C22×C43#57811yescharacteristic
306C2×D43—22no—
307C2×D43—22no—
308C2×D43—22no—
309C2×D43—41no—
310C2×D43—41no—
311C2×D43—41no—
312C2×D43—41no—
313C4×C43—22no—
314C4×C43—22no—
315C4×C43—42no—
316C4×C43—42no—
317C4×C43—42no—
318C4×C43—42no—
319C4×C43C4×#4111yescharacteristic
320C4×C43C4×#4111yescharacteristic
321C4×C43#53211yescharacteristic
322C4×C43#53211yescharacteristic
323Dic43—22no—
324Dic43—22no—
325Dic43—22no—
326Dic43—42no—
327Dic43—42no—
328Dic43—42no—
329Dic43—42no—
330C2×#541—431no—
331C2×#433—431no—
332#2274—431no—
333#1989—431no—
334#1989—431no—
335#1981—431no—
336#1981D4311yescharacteristic, complemented
337#1873—431no—
338#1873—431no—
339#1872—431no—
340#1872—431no—
341#1763—431no—
342#1763—431no—
343C4×#103—431no—
344C4×#103—431no—
345C2×C43#229711yescharacteristic
346C2×C43#289811yescharacteristic
347C2×C43#289811yescharacteristic
348C2×C43#312011yescharacteristic
349C2×C43#312011yescharacteristic
350C2×C43#312311yescharacteristic
351C2×C43#312711yescharacteristic
352D43—42no—
353#541—438no—
354#541—864no—
355C2×C4⋊Q8C2×D4311yescharacteristic
356C2×#126—861no—
357C2×#126—861no—
358C2×#125—431no—
359C2×#125—861no—
360C2×#125—861no—
361C2×C22⋊Q8—431no—
362C2×C22⋊Q8—431no—
363C2×C4×Q8—431no—
364C2×C4×Q8—431no—
365C2×#117—431no—
366C2×#117—431no—
367C22×C4⋊C4—431no—
368#433—864no—
369C2×C4⋊C8—431no—
370C2×C4⋊C8C2×D4311yescharacteristic
371C2×#103—431no—
372C2×#103—431no—
373C2×#103—431no—
374C2×#103—431no—
375C2×#103C2×D4311yescharacteristic
376C2×#103C2×D4311yescharacteristic
377C2×#103C2×D4311yescharacteristic
378C2×#103C2×D4311yescharacteristic
379C2×C22⋊C8—431no—
380C2×C22⋊C8—431no—
381C2×#97—431no—
382C2×C4×C8—431no—
383C4×C4⋊C4—431no—
384C4×C4⋊C4—431no—
385C4×C4⋊C4—431no—
386C4×C4⋊C4—861no—
387C4×C4⋊C4—861no—
388C4×C4⋊C4C2×D4311yescharacteristic
389C4×C22⋊C4—861no—
390C4×C22⋊C4—861no—
391#340—431no—
392#340—431no—
393#340—431no—
394#340—431no—
395#340—431no—
396#340—431no—
397#340—431no—
398#340—431no—
399C43#2139811yescharacteristic, complemented, Sylow
400C22×Q8C22×D4311yescharacteristic
401C22×Q8C22×D4311yescharacteristic
402C23×C4—431no—
403C23×C4—861no—
404C22×C8—431no—
405C22×C8—431no—
406C22×C8C22×D4311yescharacteristic
407C22×C8C22×D4311yescharacteristic
408C4⋊Q8—22no—
409C4⋊Q8C4×D4314yescomplemented
410#126—868no—
411#126—868no—
412#125—434no—
413#125—868no—
414#125—868no—
415#125—862no—
416C22⋊Q8—434no—
417C22⋊Q8—434no—
418C22⋊Q8—862no—
419C22⋊Q8—862no—
420C4×Q8—434no—
421C4×Q8—434no—
422C4×Q8—862no—
423C4×Q8—862no—
424#117—434no—
425#117—434no—
426#117—862no—
427#117—862no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—431no—
431C2×C4⋊C4—431no—
432C2×C4⋊C4—431no—
433C2×C4⋊C4—431no—
434C2×C4⋊C4—431no—
435C2×C4⋊C4—431no—
436C2×C4⋊C4—862no—
437C2×C4⋊C4—861no—
438C2×C4⋊C4—861no—
439C2×C4⋊C4—861no—
440C2×C4⋊C4—861no—
441C2×C4⋊C4—861no—
442C2×C4⋊C4—861no—
443C2×C4⋊C4—861no—
444C2×C4⋊C4—862no—
445C2×C4⋊C4C22×D4311yescharacteristic
446C2×C4⋊C4C22×D4311yescharacteristic
447C2×C22⋊C4—431no—
448C2×C22⋊C4—431no—
449C2×C22⋊C4—861no—
450C2×C22⋊C4—861no—
451C2×C22⋊C4—861no—
452C2×C42—21no—
453C2×C42—431no—
454C2×C42—861no—
455C2×C42—861no—
456C2×C42—861no—
457C2×C42—861no—
458C2×C42—861no—
459C2×C42—861no—
460C2×C42C22×D4311yescharacteristic
461C4⋊C8—22no—
462C4⋊C8—862no—
463#103—22no—
464#103—22no—
465#103—22no—
466#103—22no—
467#103—862no—
468#103—862no—
469#103—862no—
470#103—862no—
471C22⋊C8—862no—
472C22⋊C8—862no—
473#97—862no—
474C4×C8—862no—
475#95—21no—
476#95—861no—
477#95—861no—
478#95—861no—
479C24—431no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8C2×C4×D4312yes—
491C2×Q8C2×C4×D4312yes—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—431no—
497C22×C4—431no—
498C22×C4—431no—
499C22×C4—432no—
500C22×C4—432no—
501C22×C4—864no—
502C22×C4—861no—
503C22×C4—861no—
504C22×C4—861no—
505C22×C4—861no—
506C22×C4—861no—
507C22×C4—861no—
508C22×C4—861no—
509C22×C4—861no—
510C22×C4—3441no—
511C22×C4—3441no—
512C22×C4D4×D4311yescharacteristic
513C22×C4D4×D4311yescharacteristic
514C22×C4C23×D4311yescharacteristic
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—861no—
522C2×C8—861no—
523C2×C8—861no—
524C2×C8—861no—
525C2×C8—861no—
526C2×C8—861no—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—434no—
532C4⋊C4—434no—
533C4⋊C4—432no—
534C4⋊C4—432no—
535C4⋊C4—432no—
536C4⋊C4—432no—
537C4⋊C4—864no—
538C4⋊C4—864no—
539C4⋊C4—864no—
540C4⋊C4—864no—
541C4⋊C4—864no—
542C4⋊C4—864no—
543C4⋊C4—864no—
544C4⋊C4—861no—
545C4⋊C4—861no—
546C4⋊C4—861no—
547C4⋊C4—861no—
548C4⋊C4#1062190012yes—
549C4⋊C4#1062190012yes—
550C22⋊C4—434no—
551C22⋊C4—434no—
552C22⋊C4—864no—
553C22⋊C4—864no—
554C22⋊C4—864no—
555C42—81no—
556C42—432no—
557C42—432no—
558C42—864no—
559C42—864no—
560C42—864no—
561C42—3441no—
562C42—3441no—
563C42—3441no—
564C42C2×C4×D4312yes—
565C42D4×D4312yes—
566C23—432no—
567C23—861no—
568C23—861no—
569C23—861no—
570C23—861no—
571C23—861no—
572C23—861no—
573C23C2×D4×D4311yescharacteristic
574Q8—22no—
575Q8—22no—
576Q8—22no—
577Q8—22no—
578Q8—41no—
579Q8—41no—
580Q8—41no—
581Q8—41no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—432no—
599C2×C4—432no—
600C2×C4—432no—
601C2×C4—861no—
602C2×C4—861no—
603C2×C4—861no—
604C2×C4—861no—
605C2×C4—861no—
606C2×C4—861no—
607C2×C4—862no—
608C2×C4—862no—
609C2×C4—862no—
610C2×C4—862no—
611C2×C4—862no—
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×C4C22⋊C4×D4312yes—
625C2×C4C22⋊C4×D4312yes—
626C2×C4C22×C4×D4311yescharacteristic
627C2×C4C2×D4×D4311yescharacteristic
628C2×C4#41×D4311yescharacteristic
629C2×C4#41×D4311yescharacteristic
630C2×C4C2×#1062190011yescharacteristic
631C2×C4C2×#1062190011yescharacteristic
632C8—41no—
633C8—41no—
634C8—1721no—
635C8—1721no—
636C22—862no—
637C22—862no—
638C22—862no—
639C22—1721no—
640C22—1721no—
641C22—1721no—
642C22—1721no—
643C22C2×C22⋊C4×D4311yescharacteristic
644C22#1458340911yescharacteristic
645C22#1458340911yescharacteristic
646C22#1458370511yescharacteristic
647C22#1458370811yescharacteristic
648C22#1458371211yescharacteristic
649C22#1458371511yescharacteristic
650C4—22no—
651C4—22no—
652C4—42no—
653C4—42no—
654C4—42no—
655C4—42no—
656C4—862no—
657C4—862no—
658C4—862no—
659C4—1722no—
660C4—1722no—
661C4—1722no—
662C4—1722no—
663C4C4×#1062190011yescharacteristic
664C4C4×#1062190011yescharacteristic
665C4#1458344711yescharacteristic
666C4#1458344811yescharacteristic
667C2—1722no—
668C2#1913708211yescharacteristic
669C2#1914312311yescharacteristic
670C2#1914312711yescharacteristic
671C2#1914480611yescharacteristic
672C2#1914480811yescharacteristic
673C2#1914484511yescharacteristic
674C2#1914489311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1981C2
socleC23×C43C22×D4
prime radicalC23×D43C2×D4
cosocleC22×C4×C43C24
hypercenter#1981D43
hypocenterC43#21398
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1981

Complements

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

NH ≅ G/Ntype
4. #19135552C2semidirect
5. #19135550C2semidirect
6. #19135519C2semidirect
11. #19134427C2semidirect
12. #19134427C2semidirect
13. #103×Dic43C2semidirect
14. #103×Dic43C2semidirect
15. C43×#1981C2semidirect
17. #14583510C4semidirect
69. #13063317C2×C4semidirect
78. Q8×Dic43C2×C4semidirect
79. Q8×Dic43C2×C4semidirect
128. C4⋊Q8×C43C2×C4semidirect
336. #1981D43semidirect
399. C43#21398semidirect
409. C4⋊Q8C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145835102
C2×#145829592
#191369492
#191355522
#191355502
#191355192
#191349042
#191348992
#191344272
#103×Dic432
C43×#19812
#2139843