Finite Group Databasebeta

← #25113897

Subgroups — #25113897

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×#14582900C211yesmaximal, characteristic
2#19137462C211yesmaximal, characteristic, complemented
3#19135295C211yesmaximal, characteristic, complemented
4#19135281C211yesmaximal, characteristic, complemented
5#19135219C211yesmaximal, characteristic, complemented
6#19135212C211yesmaximal, characteristic, complemented
7#19134863C211yesmaximal, characteristic, complemented
8#19134849C211yesmaximal, characteristic, complemented
9#19134683C211yesmaximal, characteristic, complemented
10#19134626C211yesmaximal, characteristic, complemented
11#19134535C211yesmaximal, characteristic
12#19134425C211yesmaximal, characteristic, complemented
13C4×#13063249C211yesmaximal, characteristic, complemented
14#19134379C211yesmaximal, characteristic, complemented
15C43×#2341C211yesmaximal, characteristic
16C22×#10621877C2211yescharacteristic
17C2×#13063281—21no—
18C22×C4⋊Dic43C2211yescharacteristic
19C2×#13063258C2211yescharacteristic
20C2×#13063256C2211yescharacteristic
21#14582900C418yescomplemented
22C2×#13063249C2211yescharacteristic
23C2×#13063249C2211yescharacteristic
24C2×#13063249C2211yescharacteristic
25C2×#13063249C2211yescharacteristic
26C2×#13063246C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×C22⋊(C43⋊C8)C2211yescharacteristic
31C2×#13063236C2211yescharacteristic
32C2×C4×C43⋊C8C2211yescharacteristic
33#14582797C2211yescharacteristic
34#14582797C2211yescharacteristic
35#14582784—21no—
36#14582784—21no—
37#14582760—21no—
38#14582759C2211yescharacteristic
39C4×C4⋊Dic43C2211yescharacteristic
40C4×C4⋊Dic43C2211yescharacteristic
41#14582661C2211yescharacteristic
42#14582661C2211yescharacteristic
43#14582661C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582654C2211yescharacteristic
48#14582654C2211yescharacteristic
49C22×#41×C43C2211yescharacteristic
50C2×C4×Q8×C43C2211yescharacteristic
51C2×C4×Q8×C43C2211yescharacteristic
52C43×#390—21no—
53C43×#390—21no—
54C43×#390C2211yescharacteristic
55C43×#390C2211yescharacteristic
56C43×#380—21no—
57C43×#380C2211yescharacteristic
58C4×C22⋊C4×C43—21no—
59C4×C22⋊C4×C43C2211yescharacteristic
60C23×Dic43—21no—
61C2×#10621877—41no—
62C2×#10621877—41no—
63C2×#10621877C2×C414yes—
64C22×C43⋊C8C2311yescharacteristic
65C22×C43⋊C8C2311yescharacteristic
66C22×C43⋊C8C2311yescharacteristic
67C22×C43⋊C8C2311yescharacteristic
68#13063281—44no—
69C2×C4⋊Dic43—21no—
70C2×C4⋊Dic43—22no—
71C2×C4⋊Dic43C2×C414yes—
72C2×C4⋊Dic43C2311yescharacteristic
73C2×C4⋊Dic43C2311yescharacteristic
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C4⋊Dic43C2311yescharacteristic
76C2×Dic43⋊C4—21no—
77C2×Dic43⋊C4—21no—
78C2×C22⋊Dic43—21no—
79C2×C4×Dic43—21no—
80C2×C4×Dic43—21no—
81#13063258—41no—
82#13063256—41no—
83#13063249—22no—
84#13063249—22no—
85#13063249C2×C414yes—
86#13063249C2×C414yes—
87#13063246—41no—
88#13063246—41no—
89#13063246C2×C414yes—
90#13063246C2×C414yes—
91C22⋊(C43⋊C8)—22no—
92#13063236—41no—
93C4×C43⋊C8—41no—
94C43⋊#95—21no—
95C43⋊#95—21no—
96C43⋊#95—21no—
97C43⋊#95—21no—
98C43⋊#95—21no—
99C2×#41×C43—22no—
100C2×#41×C43—22no—
101C2×#41×C43—22no—
102C2×#41×C43—41no—
103C2×#41×C43—41no—
104C2×#41×C43C2×C414yes—
105C22×Q8×C43C2311yescharacteristic
106C22×D4×C43—21no—
107C22×D4×C43C2311yescharacteristic
108C23×C4×C43—21no—
109C23×C4×C43C2311yescharacteristic
110C4×Q8×C43—22no—
111C4×Q8×C43—22no—
112C4×Q8×C43—41no—
113C4×Q8×C43—41no—
114C2×C4⋊C4×C43—21no—
115C2×C4⋊C4×C43—21no—
116C2×C4⋊C4×C43C2311yescharacteristic
117C2×C4⋊C4×C43C2311yescharacteristic
118C2×C22⋊C4×C43—21no—
119C2×C22⋊C4×C43—21no—
120C2×C22⋊C4×C43—21no—
121C2×C22⋊C4×C43—21no—
122C2×C22⋊C4×C43—21no—
123C2×C22⋊C4×C43D411yescharacteristic
124C2×C22⋊C4×C43D411yescharacteristic
125C2×C42×C43—21no—
126C2×C42×C43—21no—
127C2×C42×C43C2311yescharacteristic
128C2×C42×C43C2311yescharacteristic
129#95×C43—21no—
130#95×C43D411yescharacteristic
131#95×C43D411yescharacteristic
132C24×C43—21no—
133C24×C43C2×D411yescharacteristic
134#41×C43—28no—
135#41×C43—44no—
136#41×C43—44no—
137#41×C43—44no—
138C2×Q8×C43—21no—
139C2×Q8×C43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43C22×C412yes—
142C2×Q8×C43#4112yes—
143C2×Q8×C43#4112yes—
144C2×D4×C43—21no—
145C2×D4×C43—24no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43—42no—
151C2×D4×C43—42no—
152C2×D4×C43C22×C412yes—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—24no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43—42no—
162C22×C4×C43—42no—
163C22×C4×C43C22×C412yes—
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2×D411yescharacteristic
166C22×C4×C43C2×D411yescharacteristic
167C22×C4×C43C2×D411yescharacteristic
168C22×C4×C43C2×D411yescharacteristic
169C22×C4×C43#4112yes—
170C22×C4×C43C2411yescharacteristic
171C22×Dic43—24no—
172C22×Dic43—21no—
173C22×Dic43—21no—
174C22×Dic43—21no—
175C22×Dic43—21no—
176C22×Dic43—42no—
177C22×Dic43—42no—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—21no—
182C4⋊C4×C43—42no—
183C4⋊C4×C43—42no—
184C22⋊C4×C43—22no—
185C22⋊C4×C43—41no—
186C22⋊C4×C43—42no—
187C22⋊C4×C43—42no—
188C22⋊C4×C43—81no—
189C22⋊C4×C43—81no—
190C22⋊C4×C43—81no—
191C42×C43—21no—
192C42×C43—21no—
193C42×C43—21no—
194C42×C43—21no—
195C42×C43—42no—
196C42×C43—42no—
197C22⋊Dic43—42no—
198C4⋊Dic43—24no—
199C4⋊Dic43—21no—
200C4⋊Dic43—21no—
201C4⋊Dic43—21no—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43C22×C412yes—
206C4⋊Dic43C22×C412yes—
207Dic43⋊C4—42no—
208Dic43⋊C4—42no—
209C4×Dic43—42no—
210C4×Dic43—42no—
211#10621877—44no—
212C2×C43⋊C8—21no—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8C22×C412yes—
223C2×C43⋊C8C22×C412yes—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—21no—
230C23×C43—22no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43C4×D412yes—
238C23×C43C22×D411yescharacteristic
239Q8×C43—22no—
240Q8×C43—22no—
241Q8×C43—22no—
242Q8×C43#11714yescomplemented
243D4×C43—22no—
244D4×C43—22no—
245D4×C43—48no—
246D4×C43—41no—
247D4×C43—41no—
248C2×C4×C43—22no—
249C2×C4×C43—21no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
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—48no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43C4×D412yes—
276C2×C4×C43AGL(1,ℤ/8)12yes—
277C2×C4×C43C23×C411yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43H(5,𝔽2)11yescharacteristic
282C2×C4×C43H(5,𝔽2)11yescharacteristic
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—48no—
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—
296C43⋊C8—22no—
297C43⋊C8—22no—
298C43⋊C8—41no—
299C43⋊C8—41no—
300#22583—431nomaximal, Sylow
301C22×C43—22no—
302C22×C43—22no—
303C22×C43—22no—
304C22×C43—41no—
305C22×C43—41no—
306C22×C43—41no—
307C22×C43—41no—
308C22×C43—42no—
309C22×C43—42no—
310C22×C43—42no—
311C22×C43—81no—
312C22×C43—81no—
313C22×C43—81no—
314C22×C43—81no—
315C22×C43C2×C4×D411yescharacteristic
316C22×C43#54611yescharacteristic
317C22×C43#54611yescharacteristic
318C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
319C22×C43#57511yescharacteristic
320C22×C43#57711yescharacteristic
321C22×C43#57811yescharacteristic
322C4×C43—22no—
323C4×C43—24no—
324C4×C43—22no—
325C4×C43—41no—
326C4×C43—41no—
327C4×C43—41no—
328C4×C43—81no—
329C4×C43—81no—
330C4×C43C2×#11711yescharacteristic
331C4×C43#51811yescharacteristic
332C4×C43#55111yescharacteristic
333C4×C43#55111yescharacteristic
334Dic43—42no—
335Dic43—42no—
336Dic43—81no—
337Dic43—81no—
338C2×#417—431no—
339#2344—431no—
340#2341D4311yescharacteristic
341#1936—431no—
342#1934—431no—
343#1926—431no—
344#1925—431no—
345#1865—431no—
346#1863—431no—
347#1824—431no—
348#1809—431no—
349#1788—431no—
350#1763—431no—
351C4×#103—431no—
352#1753—431no—
353C2×C43—42no—
354C2×C43—82no—
355C2×C43#234211yescharacteristic
356C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
357C2×C43#294711yescharacteristic
358C2×C43#330811yescharacteristic
359C2×C43#331711yescharacteristic
360C2×C43#332711yescharacteristic
361C2×C43#333211yescharacteristic
362C22×#41C2×D4311yescharacteristic
363C22×M16—431no—
364C2×C4×Q8C2×D4311yescharacteristic
365C2×C4×Q8C2×D4311yescharacteristic
366C2×#117—861no—
367C22×C4⋊C4—431no—
368C2×#107—431no—
369C2×#106—431no—
370#417—438no—
371C2×#103—431no—
372C2×#103—431no—
373C2×#103—431no—
374C2×#103—431no—
375C2×#102—431no—
376C2×#102—431no—
377C2×#102—431no—
378C2×#102—431no—
379C2×C22⋊C8—431no—
380C2×#97—431no—
381C2×C4×C8—431no—
382#390—21no—
383#390—21no—
384#390C2×D4311yescharacteristic
385#390C2×D4311yescharacteristic
386#389—431no—
387#389—431no—
388#387—861no—
389#387—861no—
390#381—861no—
391#380—21no—
392#380—431no—
393#380C2×D4311yescharacteristic
394C4×C4⋊C4—431no—
395C4×C4⋊C4—431no—
396C4×C22⋊C4—21no—
397C4×C22⋊C4C2×D4311yescharacteristic
398#340—431no—
399#340—431no—
400#340—431no—
401#340—431no—
402#340—431no—
403#340—431no—
404#336—431no—
405#336—431no—
406C43#2258311yescharacteristic, complemented, Sylow
407C2×#41—22no—
408C2×#41—22no—
409C2×#41—22no—
410C2×#41—41no—
411C2×#41—41no—
412C2×#41C4×D4314yes—
413C22×Q8C22×D4311yescharacteristic
414C22×D4—21no—
415C22×D4C22×D4311yescharacteristic
416C23×C4—21no—
417C23×C4—861no—
418C23×C4C22×D4311yescharacteristic
419C2×M16—434no—
420C2×M16—1721no—
421C2×M16—1721no—
422C22×C8—431no—
423C22×C8—431no—
424C22×C8—431no—
425C22×C8—431no—
426C4×Q8—22no—
427C4×Q8—22no—
428C4×Q8—41no—
429C4×Q8—41no—
430#117—1724no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—434no—
434C2×C4⋊C4—431no—
435C2×C4⋊C4—431no—
436C2×C4⋊C4—431no—
437C2×C4⋊C4—431no—
438C2×C4⋊C4—862no—
439C2×C4⋊C4—861no—
440C2×C4⋊C4—861no—
441C2×C4⋊C4—861no—
442C2×C4⋊C4C22×D4311yescharacteristic
443C2×C4⋊C4C22×D4311yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—861no—
450C2×C22⋊C4C22⋊D4311yescharacteristic
451C2×C22⋊C4C22⋊D4311yescharacteristic
452C2×C42—21no—
453C2×C42—21no—
454C2×C42—861no—
455C2×C42—861no—
456C2×C42C22×D4311yescharacteristic
457C2×C42C22×D4311yescharacteristic
458#107—1721no—
459#106—1721no—
460#103—434no—
461#103—434no—
462#103—862no—
463#103—862no—
464#102—434no—
465#102—434no—
466#102—1721no—
467#102—1721no—
468C22⋊C8—862no—
469#97—1721no—
470C4×C8—1721no—
471#95—21no—
472#95—861no—
473#95—861no—
474#95—861no—
475#95—861no—
476#95—861no—
477#95C22⋊D4311yescharacteristic
478#95C22⋊D4311yescharacteristic
479C24—21no—
480C24C2×C22⋊D4311yescharacteristic
481#41—28no—
482#41—44no—
483#41—44no—
484#41—44no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8C2×C4×D4312yes—
489C2×Q8#1062190012yes—
490C2×Q8#1062190012yes—
491C2×D4—24no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4C2×C4×D4312yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—24no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—864no—
511C22×C4—861no—
512C22×C4—861no—
513C22×C4—861no—
514C22×C4—861no—
515C22×C4—1722no—
516C22×C4—1722no—
517C22×C4C2×C4×D4312yes—
518C22×C4#1062189812yes—
519C22×C4C2×C22⋊D4311yescharacteristic
520C22×C4C2×C22⋊D4311yescharacteristic
521C22×C4C2×C22⋊D4311yescharacteristic
522C22×C4C2×C22⋊D4311yescharacteristic
523C22×C4C2×C22⋊D4311yescharacteristic
524C22×C4C23×D4311yescharacteristic
525M16—1724no—
526C2×C8—432no—
527C2×C8—432no—
528C2×C8—861no—
529C2×C8—861no—
530C2×C8—861no—
531C2×C8—861no—
532C2×C8—861no—
533C2×C8—861no—
534C2×C8—861no—
535C2×C8—861no—
536C2×C8—861no—
537C2×C8—861no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—432no—
545C4⋊C4—432no—
546C4⋊C4—864no—
547C4⋊C4—861no—
548C4⋊C4—861no—
549C4⋊C4—861no—
550C4⋊C4—861no—
551C4⋊C4—861no—
552C4⋊C4—861no—
553C4⋊C4—1722no—
554C4⋊C4—1722no—
555C22⋊C4—22no—
556C22⋊C4—41no—
557C22⋊C4—42no—
558C22⋊C4—42no—
559C22⋊C4—81no—
560C22⋊C4—81no—
561C22⋊C4—81no—
562C22⋊C4—1722no—
563C42—21no—
564C42—21no—
565C42—21no—
566C42—21no—
567C42—42no—
568C42—42no—
569C42—1722no—
570C42—1722no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23C4×C22⋊D4312yes—
585C23C22×C22⋊D4311yescharacteristic
586Q8—22no—
587Q8—22no—
588Q8—22no—
589Q8#1306328114yescomplemented
590D4—22no—
591D4—22no—
592D4—48no—
593D4—41no—
594D4—41no—
595C2×C4—22no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—22no—
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—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—48no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—862no—
623C2×C4—862no—
624C2×C4—1721no—
625C2×C4—1721no—
626C2×C4—1721no—
627C2×C4—1721no—
628C2×C4—1721no—
629C2×C4—1721no—
630C2×C4—1728no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4C4×C22⋊D4312yes—
636C2×C4#1306335012yes—
637C2×C4C22×C4×D4311yescharacteristic
638C2×C4C2×#1062190011yescharacteristic
639C2×C4C2×#1062190011yescharacteristic
640C2×C4C2×#1062189811yescharacteristic
641C2×C4#1306337011yescharacteristic
642C2×C4#1306337011yescharacteristic
643C8—862no—
644C8—862no—
645C8—1721no—
646C8—1721no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22C2×C4×C22⋊D4311yescharacteristic
662C22#1458354311yescharacteristic
663C22#1458354311yescharacteristic
664C22C2×#1306335011yescharacteristic
665C22#1458369711yescharacteristic
666C22#1458371011yescharacteristic
667C22#1458371411yescharacteristic
668C4—22no—
669C4—22no—
670C4—24no—
671C4—41no—
672C4—41no—
673C4—41no—
674C4—81no—
675C4—81no—
676C4—3441no—
677C4—3441no—
678C4—1722no—
679C4—1722no—
680C4C2×#1306328111yescharacteristic
681C4#1458337211yescharacteristic
682C4#1458357511yescharacteristic
683C4#1458357511yescharacteristic
684C2—42no—
685C2—82no—
686C2#1913744011yescharacteristic
687C2C4×#1306335011yescharacteristic
688C2#1914343411yescharacteristic
689C2#1914658611yescharacteristic
690C2#1914672111yescharacteristic
691C2#1914686311yescharacteristic
692C2#1914692211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2341C2
socleC23×C43C22×D4
prime radicalC22×#41×C43C22
cosocleC22×C4×C43C24
hypercenter#2341D43
hypocenterC43#22583
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2341

Complements

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

NH ≅ G/Ntype
2. #19137462C2semidirect
3. #19135295C2semidirect
4. #19135281C2semidirect
5. #19135219C2semidirect
6. #19135212C2semidirect
7. #19134863C2semidirect
8. #19134849C2semidirect
9. #19134683C2semidirect
10. #19134626C2semidirect
12. #19134425C2semidirect
13. C4×#13063249C2semidirect
14. #19134379C2semidirect
21. #14582900C4semidirect
242. Q8×C43#117semidirect
406. C43#22583semidirect
589. Q8#13063281semidirect

Maximal subgroups

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

subgroupindex
C2×#145829002
#191374622
#191352952
#191352812
#191352192
#191352122
#191348632
#191348492
#191346832
#191346262
#191345352
#191344252
C4×#130632492
#191343792
C43×#23412
#2258343