Finite Group Databasebeta

← C2×#19138040 #25264549

Subgroups — C2×#19138040 #25264549

Order 11008.

3830 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063305C211yesmaximal, characteristic, complemented
2C22×#13063304C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D43C211yesmaximal, characteristic
4#19138040C2116yesmaximal, direct product factor
5C2×#14582829C212yesmaximal, complemented
6C2×#14582821C212yesmaximal, complemented
7C2×#14582804C211yesmaximal, characteristic, complemented
8C2×#14582798C211yesmaximal, characteristic, complemented
9C2×#14582778C212yesmaximal
10C2×#14582759C212yesmaximal, complemented
11C2×#14582756C211yesmaximal, characteristic, complemented
12C23×C4⋊C4×C43C211yesmaximal, characteristic, complemented
13C23×Dic86C2211yescharacteristic
14C23×C22⋊D43C2211yescharacteristic
15C23×C4×D43C2211yescharacteristic
16C2×#13063305—28no—
17C2×#13063305C2218yescomplemented
18C2×#13063304—28no—
19C2×#13063304C2218yescomplemented
20C2×C4×C22⋊D43—28no—
21C2×C4×C22⋊D43C2218yes—
22C22×C4⋊Dic43C2211yescharacteristic
23C22×C4⋊Dic43C2212yes—
24C22×C4⋊Dic43C2212yes—
25C22×Dic43⋊C4C2212yes—
26C22×Dic43⋊C4C2211yescharacteristic
27C22×C22⋊Dic43C2212yes—
28C22×C22⋊Dic43C2211yescharacteristic
29C22×(C2×D43)⋊C4C2211yescharacteristic
30C22×(C2×D43)⋊C4C2212yes—
31C22×(C2×D43)⋊C4C2212yes—
32C22×C4×Dic43C2211yescharacteristic
33#14582829C22116yescomplemented
34#14582821C22116yescomplemented
35#14582804C2218yescomplemented
36#14582798C2218yescomplemented
37#14582778C22116yes—
38#14582759C22116yescomplemented
39#14582756C2218yescomplemented
40C2×C43⋊#95C2212yes—
41C2×C43⋊#95C2212yes—
42C2×C43⋊#95C2212yes—
43C2×C43⋊#95C2212yes—
44C24×C4×C43C2212yes—
45C24×C4×C43C2211yescharacteristic
46C22×C4⋊C4×C43—28no—
47C22×C4⋊C4×C43C2212yes—
48C22×C4⋊C4×C43C2211yescharacteristic
49C22×C4⋊C4×C43C2211yescharacteristic
50C22×C4⋊C4×C43C2218yescomplemented
51C24×D43C2311yescharacteristic
52C22×Dic86—24no—
53C22×Dic86—24no—
54C22×Dic86—24no—
55C22×Dic86C2314yes—
56C22×C22⋊D43—24no—
57C22×C22⋊D43—24no—
58C22×C22⋊D43Q818yescomplemented
59C22×C22⋊D43C2314yes—
60C23×Dic43C2311yescharacteristic
61C23×Dic43C2312yes—
62C23×Dic43C2312yes—
63C23×Dic43C2311yescharacteristic
64C23×Dic43C2311yescharacteristic
65C22×C4×D43—24no—
66C22×C4×D43—24no—
67C22×C4×D43—24no—
68C22×C4×D43C2314yes—
69#13063305—232no—
70#13063304—232no—
71C4×C22⋊D43—232no—
72C2×C4⋊Dic43—24no—
73C2×C4⋊Dic43—28no—
74C2×C4⋊Dic43—44no—
75C2×C4⋊Dic43C2314yes—
76C2×C4⋊Dic43C2318yes—
77C2×C4⋊Dic43C2318yes—
78C2×Dic43⋊C4—24no—
79C2×Dic43⋊C4—28no—
80C2×Dic43⋊C4C2318yes—
81C2×Dic43⋊C4C2314yes—
82C2×C22⋊Dic43—24no—
83C2×C22⋊Dic43—28no—
84C2×C22⋊Dic43C2314yes—
85C2×C22⋊Dic43C2318yes—
86C2×(C2×D43)⋊C4—24no—
87C2×(C2×D43)⋊C4—28no—
88C2×(C2×D43)⋊C4—44no—
89C2×(C2×D43)⋊C4C2314yes—
90C2×(C2×D43)⋊C4C2318yes—
91C2×(C2×D43)⋊C4C2318yes—
92C2×C4×Dic43—24no—
93C2×C4×Dic43C2314yes—
94C43⋊#95C2318yes—
95C43⋊#95C2318yes—
96C43⋊#95C2318yes—
97C43⋊#95C2318yes—
98C25×C43C2311yescharacteristic
99C23×C4×C43—24no—
100C23×C4×C43—24no—
101C23×C4×C43—28no—
102C23×C4×C43—28no—
103C23×C4×C43—44no—
104C23×C4×C43D418yes—
105C23×C4×C43C2312yes—
106C23×C4×C43C2318yes—
107C23×C4×C43C2311yescharacteristic
108C23×C4×C43C2312yes—
109C23×C4×C43C2314yes—
110C23×C4×C43C2311yescharacteristic
111C2×C4⋊C4×C43—28no—
112C2×C4⋊C4×C43—24no—
113C2×C4⋊C4×C43—232no—
114C2×C4⋊C4×C43D418yescomplemented
115C2×C4⋊C4×C43C2314yes—
116C2×C4⋊C4×C43C2318yes—
117C2×C4⋊C4×C43C2314yes—
118C24×C43—22no—
119C24×C43—22no—
120C24×C43—22no—
121C24×C43—22no—
122C24×C43C2×D414yes—
123C24×C43C2×Q814yes—
124C24×C43#4114yes—
125C24×C43C2412yes—
126C24×C43C2411yescharacteristic
127C23×D43—22no—
128C23×D43—22no—
129C23×D43—22no—
130C23×D43—22no—
131C23×D43—22no—
132C23×D43—22no—
133C23×D43C2×Q814yes—
134C23×D43C2412yes—
135C22×C4×C43—232no—
136C22×C4×C43—28no—
137C22×C4×C43—28no—
138C22×C4×C43—216no—
139C22×C4×C43—22no—
140C22×C4×C43—24no—
141C22×C4×C43—24no—
142C22×C4×C43—22no—
143C22×C4×C43—216no—
144C22×C4×C43—24no—
145C22×C4×C43—24no—
146C22×C4×C43—24no—
147C22×C4×C43—48no—
148C22×C4×C43—432no—
149C22×C4×C43C2×D414yes—
150C22×C4×C43C2×D4116yes—
151C22×C4×C43C2×D414yes—
152C22×C4×C43C2×D418yes—
153C22×C4×C43C2×D414yes—
154C22×C4×C43#4114yes—
155C22×C4×C43C2414yes—
156C22×C4×C43C2414yes—
157C22×C4×C43C2412yes—
158C22×C4×C43C2412yes—
159C2×C22⋊D43—232no—
160C2×C22⋊D43—28no—
161C2×C22⋊D43—28no—
162C2×C22⋊D43C2×Q8116yescomplemented
163C22×Dic43—22no—
164C22×Dic43—22no—
165C22×Dic43—24no—
166C22×Dic43—24no—
167C22×Dic43—22no—
168C22×Dic43—24no—
169C22×Dic43—22no—
170C22×Dic43—22no—
171C22×Dic43—22no—
172C22×Dic43—24no—
173C22×Dic43—24no—
174C22×Dic43—22no—
175C22×Dic43—22no—
176C22×Dic43—24no—
177C22×Dic43C2×Q814yes—
178C22×Dic43C2412yes—
179C22×Dic43C2414yes—
180C22×Dic43C2414yes—
181C22×Dic43C2412yes—
182C22×Dic43C2412yes—
183C2×C4×D43—28no—
184C2×C4×D43—28no—
185C2×C4×D43—28no—
186C2×C4×D43—416no—
187C2×Dic86—28no—
188C2×Dic86—28no—
189C2×Dic86—28no—
190C2×Dic86—416no—
191C4⋊C4×C43—216no—
192C4⋊C4×C43—28no—
193C4⋊C4×C43C2×D4116yescomplemented
194C22⋊Dic43—28no—
195C22⋊Dic43—216no—
196(C2×D43)⋊C4—28no—
197(C2×D43)⋊C4—216no—
198(C2×D43)⋊C4—48no—
199C4⋊Dic43—28no—
200C4⋊Dic43—216no—
201C4⋊Dic43—48no—
202Dic43⋊C4—28no—
203Dic43⋊C4—216no—
204C4×Dic43—28no—
205C23×C43—28no—
206C23×C43—28no—
207C23×C43—28no—
208C23×C43—28no—
209C23×C43—28no—
210C23×C43—28no—
211C23×C43—22no—
212C23×C43—22no—
213C23×C43—22no—
214C23×C43—22no—
215C23×C43C22⋊Q8116yescomplemented
216C23×C43C22×D412yes—
217C23×C43C22×D414yes—
218C23×C43C22×D412yes—
219C23×C43C22×Q814yes—
220C23×C43C22×Q812yes—
221C23×C43C2×#4114yes—
222C23×C43C2×#4112yes—
223C23×C43C2×#4112yes—
224C23×C43H(5,𝔽2)12yes—
225C23×C432−1+412yes—
226C23×C43C2511yescharacteristic
227C22×D43—28no—
228C22×D43—28no—
229C22×D43—28no—
230C22×D43—22no—
231C22×D43—22no—
232C22×D43—22no—
233C22×D43—22no—
234C22×D43—22no—
235C22×D43—22no—
236C22×D43—44no—
237C22×D43—44no—
238C22×D43—44no—
239C22×D43—44no—
240C22×D43C22×Q814yes—
241C2×C4×C43—28no—
242C2×C4×C43—216no—
243C2×C4×C43—22no—
244C2×C4×C43—24no—
245C2×C4×C43—22no—
246C2×C4×C43—24no—
247C2×C4×C43—232no—
248C2×C4×C43—24no—
249C2×C4×C43—24no—
250C2×C4×C43—24no—
251C2×C4×C43—432no—
252C2×C4×C43—48no—
253C2×C4×C43#121116yes—
254C2×C4×C43C22×D418yes—
255C2×C4×C43C22×D414yes—
256C2×C4×C43C22×D414yes—
257C2×C4×C43C22×D414yes—
258C2×C4×C43C2×#4114yes—
259C22⋊D43—232no—
260C2×Dic43—28no—
261C2×Dic43—22no—
262C2×Dic43—22no—
263C2×Dic43—22no—
264C2×Dic43—24no—
265C2×Dic43—24no—
266C2×Dic43—22no—
267C2×Dic43—22no—
268C2×Dic43—24no—
269C2×Dic43—24no—
270C2×Dic43—22no—
271C2×Dic43—22no—
272C2×Dic43—24no—
273C2×Dic43—22no—
274C2×Dic43—24no—
275C2×Dic43—48no—
276C2×Dic43—44no—
277C2×Dic43—44no—
278C2×Dic43—48no—
279C2×Dic43C22×Q814yes—
280C4×D43—416no—
281Dic86—416no—
282C2×#2417—431nomaximal, Sylow
283C22×C43—24no—
284C22×C43—232no—
285C22×C43—24no—
286C22×C43—24no—
287C22×C43—24no—
288C22×C43—24no—
289C22×C43—24no—
290C22×C43C2×#12114yes—
291C22×C43C2×C22⋊Q814yes—
292C22×C43C2×C22⋊Q818yescomplemented
293C22×C43#53714yes—
294C22×C43#54614yes—
295C22×C43D4×Q814yes—
296C22×C43#55214yes—
297C22×C43#55414yes—
298C22×C43C23×D411yescharacteristic
299C22×C43C23×D411yescharacteristic
300C22×C43C23×Q811yescharacteristic
301C22×C43C22×#4111yescharacteristic
302C22×C43C22×#4111yescharacteristic
303C22×C43C2×H(5,𝔽2)11yescharacteristic
304C22×C43C2×2−1+411yescharacteristic
305C2×D43—24no—
306C2×D43—24no—
307C2×D43—24no—
308C2×D43—42no—
309C2×D43—416no—
310C2×D43—42no—
311C2×D43—42no—
312C2×D43—42no—
313C4×C43—24no—
314C4×C43—28no—
315C4×C43—44no—
316C4×C43C2×#12118yes—
317Dic43—24no—
318Dic43—44no—
319Dic43—42no—
320Dic43—42no—
321Dic43—44no—
322C22×C22⋊Q8—431no—
323C22×C22⋊Q8—431no—
324C22×C4×D4—431no—
325C23×C4⋊C4D4311yescharacteristic, complemented
326#2417—4316no—
327C2×#398—432no—
328C2×#396—432no—
329C2×#391—431no—
330C2×#389—431no—
331C2×#386—432no—
332C2×#380—432no—
333C2×#380—431no—
334C2×C43—28no—
335C2×C43#241718yescomplemented
336C2×C43C22×#12111yescharacteristic
337C2×C43C22×C22⋊Q811yescharacteristic
338C2×C43C2×#53711yescharacteristic
339C2×C43C2×#54611yescharacteristic
340C2×C43C2×D4×Q811yescharacteristic
341C2×C43C2×#55211yescharacteristic
342C2×C43C2×#55411yescharacteristic
343D43—44no—
344C23×Q8—431no—
345C23×D4—431no—
346C24×C4—431no—
347C24×C4C2×D4312yes—
348C24×C4C2×D4311yescharacteristic
349C2×C22⋊Q8—438no—
350C2×C22⋊Q8—438no—
351C2×C22⋊Q8—868no—
352C2×C22⋊Q8—868no—
353C2×C4×D4—438no—
354C2×C4×D4—868no—
355C22×C4⋊C4—28no—
356C22×C4⋊C4—432no—
357C22×C4⋊C4—431no—
358C22×C4⋊C4—432no—
359C22×C4⋊C4—431no—
360C22×C4⋊C4—432no—
361C22×C4⋊C4C2×D4312yes—
362C22×C4⋊C4C2×D4311yescharacteristic
363C22×C4⋊C4C2×D4311yescharacteristic
364C22×C4⋊C4C2×D4318yescomplemented
365C22×C22⋊C4—431no—
366C22×C22⋊C4—432no—
367C22×C22⋊C4—431no—
368C22×C22⋊C4—432no—
369C22×C22⋊C4—432no—
370C22×C42—431no—
371#398—4316no—
372#396—4316no—
373#391—438no—
374#389—438no—
375#386—4316no—
376#380—4316no—
377#380—438no—
378C2×#95—432no—
379C2×#95—432no—
380C2×#95—432no—
381C2×#95—432no—
382C43C2×#241711yescharacteristic, complemented, Sylow
383C25—431no—
384C25C22×D4311yescharacteristic
385C22×Q8—434no—
386C22×Q8—864no—
387C22×Q8—864no—
388C22×Q8—864no—
389C22×D4—438no—
390C22×D4—434no—
391C22×D4—864no—
392C22×D4—864no—
393C23×C4—24no—
394C23×C4—24no—
395C23×C4—28no—
396C23×C4—28no—
397C23×C4—44no—
398C23×C4—431no—
399C23×C4—432no—
400C23×C4—432no—
401C23×C4—431no—
402C23×C4—431no—
403C23×C4—434no—
404C23×C4—864no—
405C23×C4—864no—
406C23×C4—864no—
407C23×C4D17218yes—
408C23×C4C22×D4312yes—
409C23×C4C22×D4318yes—
410C23×C4C22×D4314yes—
411C23×C4C22×D4311yescharacteristic
412C23×C4C22×D4312yes—
413C23×C4C22×D4311yescharacteristic
414C22⋊Q8—8632no—
415C22⋊Q8—8632no—
416C4×D4—8632no—
417C2×C4⋊C4—28no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—232no—
420C2×C4⋊C4—434no—
421C2×C4⋊C4—438no—
422C2×C4⋊C4—434no—
423C2×C4⋊C4—438no—
424C2×C4⋊C4—438no—
425C2×C4⋊C4—864no—
426C2×C4⋊C4—868no—
427C2×C4⋊C4—864no—
428C2×C4⋊C4—868no—
429C2×C4⋊C4—1724no—
430C2×C4⋊C4C22⋊D4318yescomplemented
431C2×C4⋊C4C22×D4314yes—
432C2×C4⋊C4C22×D4318yes—
433C2×C4⋊C4C22×D4314yes—
434C2×C22⋊C4—434no—
435C2×C22⋊C4—438no—
436C2×C22⋊C4—434no—
437C2×C22⋊C4—438no—
438C2×C22⋊C4—438no—
439C2×C22⋊C4—864no—
440C2×C22⋊C4—868no—
441C2×C22⋊C4—864no—
442C2×C22⋊C4—868no—
443C2×C22⋊C4—1724no—
444C2×C42—434no—
445C2×C42—864no—
446#95—438no—
447#95—438no—
448#95—438no—
449#95—438no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—434no—
455C24—432no—
456C24—862no—
457C24—862no—
458C24—862no—
459C24—862no—
460C24—862no—
461C24—862no—
462C24C2×D17214yes—
463C24#1062190014yes—
464C24Q8×D4314yes—
465C24C23×D4312yes—
466C24C23×D4311yescharacteristic
467C2×Q8—868no—
468C2×Q8—868no—
469C2×Q8—868no—
470C2×Q8—17216no—
471C2×D4—4316no—
472C2×D4—8632no—
473C2×D4—868no—
474C2×D4—868no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—232no—
480C22×C4—28no—
481C22×C4—28no—
482C22×C4—24no—
483C22×C4—216no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—216no—
487C22×C4—48no—
488C22×C4—432no—
489C22×C4—434no—
490C22×C4—432no—
491C22×C4—432no—
492C22×C4—434no—
493C22×C4—434no—
494C22×C4—432no—
495C22×C4—862no—
496C22×C4—862no—
497C22×C4—864no—
498C22×C4—862no—
499C22×C4—862no—
500C22×C4—864no—
501C22×C4—862no—
502C22×C4—864no—
503C22×C4—862no—
504C22×C4—864no—
505C22×C4—864no—
506C22×C4—862no—
507C22×C4—864no—
508C22×C4—862no—
509C22×C4—868no—
510C22×C4—868no—
511C22×C4—868no—
512C22×C4—17216no—
513C22×C4C2×D17214yes—
514C22×C4C2×D172116yes—
515C22×C4C2×D17214yes—
516C22×C4#1062189814yes—
517C22×C4C2×C22⋊D4318yes—
518C22×C4C2×C22⋊D4314yes—
519C22×C4C23×D4314yes—
520C22×C4C23×D4314yes—
521C22×C4C23×D4312yes—
522C22×C4C23×D4312yes—
523C4⋊C4—216no—
524C4⋊C4—28no—
525C4⋊C4—8616no—
526C4⋊C4—868no—
527C4⋊C4—8616no—
528C4⋊C4—868no—
529C4⋊C4—1728no—
530C4⋊C4C2×C22⋊D43116yescomplemented
531C22⋊C4—868no—
532C22⋊C4—8616no—
533C22⋊C4—8616no—
534C22⋊C4—868no—
535C22⋊C4—1728no—
536C42—868no—
537C23—28no—
538C23—28no—
539C23—28no—
540C23—28no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—28no—
546C23—28no—
547C23—434no—
548C23—868no—
549C23—868no—
550C23—868no—
551C23—862no—
552C23—862no—
553C23—862no—
554C23—862no—
555C23—862no—
556C23—862no—
557C23—1724no—
558C23—1724no—
559C23—1724no—
560C23—1724no—
561C23#13063305116yescomplemented
562C23C22×C22⋊D4312yes—
563C23C22×D17214yes—
564C23C22×D17212yes—
565C23C2×Q8×D4314yes—
566C23C2×Q8×D4312yes—
567C23C2×#1062190014yes—
568C23C2×#1062190012yes—
569C23C2×#1062189812yes—
570C23#1306337012yes—
571C23#1306337312yes—
572C23C24×D4311yescharacteristic
573Q8—17216no—
574D4—8632no—
575C2×C4—28no—
576C2×C4—22no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—216no—
581C2×C4—232no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—432no—
586C2×C4—48no—
587C2×C4—434no—
588C2×C4—868no—
589C2×C4—862no—
590C2×C4—862no—
591C2×C4—864no—
592C2×C4—862no—
593C2×C4—862no—
594C2×C4—864no—
595C2×C4—862no—
596C2×C4—864no—
597C2×C4—862no—
598C2×C4—864no—
599C2×C4—864no—
600C2×C4—862no—
601C2×C4—862no—
602C2×C4—864no—
603C2×C4—1724no—
604C2×C4—1728no—
605C2×C4—1724no—
606C2×C4—1728no—
607C2×C4—17216no—
608C2×C4#13063299116yes—
609C2×C4C22×C22⋊D4318yes—
610C2×C4C22×C22⋊D4314yes—
611C2×C4C22×D17214yes—
612C2×C4C22×D17214yes—
613C2×C4C2×#1062189814yes—
614C22—24no—
615C22—24no—
616C22—24no—
617C22—24no—
618C22—24no—
619C22—24no—
620C22—232no—
621C22—864no—
622C22—864no—
623C22—864no—
624C22—1722no—
625C22—1722no—
626C22—1722no—
627C22—1722no—
628C22—17216no—
629C22C2×#1306329914yes—
630C22C2×#1306330514yes—
631C22C2×#1306330518yescomplemented
632C22#1458348014yes—
633C22#1458354314yes—
634C22Q8×C22⋊D4314yes—
635C22#1458358414yes—
636C22#1458360414yes—
637C22C23×C22⋊D4311yescharacteristic
638C22C23×D17211yescharacteristic
639C22C22×Q8×D4311yescharacteristic
640C22C22×#1062190011yescharacteristic
641C22C22×#1062189811yescharacteristic
642C22C2×#1306337011yescharacteristic
643C22C2×#1306337311yescharacteristic
644C4—28no—
645C4—24no—
646C4—44no—
647C4—864no—
648C4—1722no—
649C4—1724no—
650C4—1722no—
651C4—1724no—
652C4C2×#1306329918yes—
653C2—28no—
654C2—1724no—
655C2#1913804018yesdirect product factor
656C2C22×#1306329911yescharacteristic
657C2C22×#1306330511yescharacteristic
658C2C2×#1458348011yescharacteristic
659C2C2×#1458354311yescharacteristic
660C2C2×Q8×C22⋊D4311yescharacteristic
661C2C2×#1458358411yescharacteristic
662C2C2×#1458360411yescharacteristic
subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC23×C4⋊C4×C43C2
socleC24×C43C24
prime radicalC23×C22⋊D43C22
hypercenterC23×C4⋊C4D43
hypocenterC43C2×#2417
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#13063305C2semidirect
2. C22×#13063304C2semidirect
4. #19138040C2direct (N × H)
5. C2×#14582829C2semidirect
6. C2×#14582821C2semidirect
7. C2×#14582804C2semidirect
8. C2×#14582798C2semidirect
10. C2×#14582759C2semidirect
11. C2×#14582756C2semidirect
12. C23×C4⋊C4×C43C2semidirect
17. C2×#13063305C22semidirect
19. C2×#13063304C22semidirect
33. #14582829C22semidirect
34. #14582821C22semidirect
35. #14582804C22semidirect
36. #14582798C22semidirect
38. #14582759C22semidirect
39. #14582756C22semidirect
50. C22×C4⋊C4×C43C22semidirect
58. C22×C22⋊D43Q8semidirect
114. C2×C4⋊C4×C43D4semidirect
162. C2×C22⋊D43C2×Q8semidirect
193. C4⋊C4×C43C2×D4semidirect
215. C23×C43C22⋊Q8semidirect
292. C22×C43C2×C22⋊Q8semidirect
325. C23×C4⋊C4D43semidirect
335. C2×C43#2417semidirect
364. C22×C4⋊C4C2×D43semidirect
382. C43C2×#2417semidirect
430. C2×C4⋊C4C22⋊D43semidirect
530. C4⋊C4C2×C22⋊D43semidirect
561. C23#13063305semidirect
631. C22C2×#13063305semidirect
655. C2#19138040direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130633052
C22×#130633042
C22×C4×C22⋊D432
#191380402
C2×#145828292
C2×#145828212
C2×#145828042
C2×#145827982
C2×#145827782
C2×#145827592
C2×#145827562
C23×C4⋊C4×C432
C2×#241743