Finite Group Databasebeta

← C4×#17986132 #32003019

Subgroups — C4×#17986132 #32003019

Order 18176.

1964 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D284C211yesmaximal, characteristic, complemented
2C2×#17986132C211yesmaximal, characteristic
3C2×C4×#11765850C212yesmaximal, complemented
4#22588691C212yesmaximal, complemented
5#22588658C211yesmaximal, characteristic, complemented
6#22588586C212yesmaximal, complemented
7#22588527C211yesmaximal, characteristic, complemented
8#22588270C211yesmaximal, characteristic, complemented
9C4×#14556048C212yesmaximal, complemented
10C4×C22⋊(C71⋊C8)C211yesmaximal, characteristic, complemented
11C4×#121×C71C211yesmaximal, characteristic, complemented
12C23×D284C2211yescharacteristic
13C23×C4×D71—21no—
14C22×#11765850C2212yes—
15C2×C4×D284—28no—
16C2×C4×D284—21no—
17C2×C4×D284—21no—
18C2×C4×D284C2212yes—
19C2×C4×D284C2212yes—
20C22×C4⋊Dic71C2211yescharacteristic
21C22×(C2×D71)⋊C4—21no—
22#17986132C418yesdirect product factor
23C4×#11765850—28no—
24C2×#14556061C2212yescomplemented
25C2×#14556049C2212yescomplemented
26C2×#14556048C2212yes—
27C2×#14556048C2212yes—
28C2×#14556048C2212yes—
29C2×C22⋊(C71⋊C8)C2211yescharacteristic
30C2×C22⋊(C71⋊C8)C2211yescharacteristic
31C2×C4×C71⋊C8C2212yescomplemented
32#17985761C2212yescomplemented
33#17985761C2212yescomplemented
34#17985754C2212yescomplemented
35C2×#121×C71C2211yescharacteristic
36C2×C4×D4×C71—21no—
37C2×C4×D4×C71C2211yescharacteristic, complemented
38C22×C42×C71C2211yescharacteristic
39#390×C71C2211yescharacteristic, complemented
40#389×C71C2211yescharacteristic, complemented
41#388×C71—21no—
42#386×C71—21no—
43#380×C71C2211yescharacteristic
44C4×C4⋊C4×C71C2211yescharacteristic, complemented
45C4×C22⋊C4×C71—21no—
46C24×D71—21no—
47C22×D284—24no—
48C22×D284—24no—
49C22×D284—21no—
50C22×D284—22no—
51C22×D284C2×C414yescomplemented
52C22×D284C2312yes—
53C23×Dic71—21no—
54C22×C4×D71—28no—
55C22×C4×D71—22no—
56C22×C4×D71—22no—
57C22×C4×D71—44no—
58C22×C4×D71—44no—
59C2×#11765850—24no—
60C2×#11765850—24no—
61C2×#11765850C2×C418yescomplemented
62C22×C71⋊C8C2312yes—
63C22×C71⋊C8C2312yes—
64C4×D284—28no—
65C4×D284—28no—
66C4×D284—24no—
67C4×D284—24no—
68C4×D284—24no—
69C4×D284D418yescomplemented
70C2×C4⋊Dic71—24no—
71C2×C4⋊Dic71—21no—
72C2×C4⋊Dic71C2312yes—
73C2×(C2×D71)⋊C4—28no—
74C2×(C2×D71)⋊C4—22no—
75C2×(C2×D71)⋊C4—22no—
76#14556061—24no—
77#14556049—24no—
78#14556048—24no—
79#14556048—24no—
80#14556048C2×C418yescomplemented
81C22⋊(C71⋊C8)—22no—
82C22⋊(C71⋊C8)C2×C414yescomplemented
83C4×C71⋊C8—24no—
84C22×D4×C71—21no—
85C22×D4×C71C2311yescharacteristic
86C23×C4×C71—21no—
87C23×C4×C71D411yescharacteristic
88C23×C4×C71D411yescharacteristic
89C23×C4×C71C2311yescharacteristic
90#121×C71—22no—
91#121×C71C2×C414yescomplemented
92C4×D4×C71—24no—
93C4×D4×C71—44no—
94C2×C4⋊C4×C71—21no—
95C2×C4⋊C4×C71C2311yescharacteristic
96C2×C4⋊C4×C71C2311yescharacteristic
97C2×C4⋊C4×C71C2311yescharacteristic
98C2×C22⋊C4×C71—21no—
99C2×C22⋊C4×C71—21no—
100C2×C22⋊C4×C71—21no—
101C2×C22⋊C4×C71—21no—
102C2×C22⋊C4×C71—21no—
103C2×C42×C71—24no—
104C2×C42×C71—21no—
105C2×C42×C71D411yescharacteristic
106C2×C42×C71D411yescharacteristic
107C2×C42×C71C2311yescharacteristic
108C2×C42×C71C2311yescharacteristic
109#95×C71—21no—
110#95×C71—21no—
111#95×C71—21no—
112C23×D71—24no—
113C23×D71—24no—
114C23×D71—24no—
115C23×D71—22no—
116C23×D71—42no—
117C23×D71—42no—
118C23×D71—42no—
119C23×D71—42no—
120C2×D284—24no—
121C2×D284—216no—
122C2×D284—24no—
123C2×D284—24no—
124C2×D284—22no—
125C2×D284—22no—
126C2×D284—22no—
127C2×D284—216no—
128C2×D284C22×C414yes—
129C2×D284C2×D414yes—
130C2×D284#4114yes—
131C22×Dic71—24no—
132C22×Dic71—22no—
133C22×Dic71—42no—
134C22×Dic71—42no—
135C2×C4×D71—28no—
136C2×C4×D71—28no—
137C2×C4×D71—44no—
138C2×C4×D71—432no—
139C2×C4×D71—44no—
140C2×C4×D71—44no—
141C2×C4×D71—44no—
142#11765850—216no—
143C2×C71⋊C8—22no—
144C2×C71⋊C8—22no—
145C2×C71⋊C8—22no—
146C2×C71⋊C8—22no—
147C2×C71⋊C8—22no—
148C2×C71⋊C8C22×C414yescomplemented
149C4⋊Dic71—24no—
150C4⋊Dic71—22no—
151C4⋊Dic71C2×D414yes—
152(C2×D71)⋊C4—28no—
153(C2×D71)⋊C4—28no—
154C24×C71—21no—
155C24×C71C2×D411yescharacteristic
156C2×D4×C71—24no—
157C2×D4×C71—22no—
158C2×D4×C71—22no—
159C2×D4×C71—21no—
160C2×D4×C71—42no—
161C2×D4×C71—42no—
162C2×D4×C71C22×C412yescomplemented
163C22×C4×C71—22no—
164C22×C4×C71—22no—
165C22×C4×C71—22no—
166C22×C4×C71—22no—
167C22×C4×C71—22no—
168C22×C4×C71—21no—
169C22×C4×C71—22no—
170C22×C4×C71—21no—
171C22×C4×C71—21no—
172C22×C4×C71—41no—
173C22×C4×C71—42no—
174C22×C4×C71—42no—
175C22×C4×C71—42no—
176C22×C4×C71D814yescomplemented
177C22×C4×C71C22×C412yes—
178C22×C4×C71C2×D411yescharacteristic
179C22×C4×C71C2×D411yescharacteristic
180C22×C4×C71C2×D411yescharacteristic
181C22×C4×C71C2×D411yescharacteristic
182C22×C4×C71C2×D411yescharacteristic
183C22×C4×C71#4112yes—
184C22×C4×C71C2411yescharacteristic
185C4⋊C4×C71—21no—
186C4⋊C4×C71—22no—
187C4⋊C4×C71—22no—
188C4⋊C4×C71—42no—
189C4⋊C4×C71C22×C412yescomplemented
190C22⋊C4×C71—24no—
191C22⋊C4×C71—42no—
192C22⋊C4×C71—42no—
193C22⋊C4×C71—42no—
194C22⋊C4×C71—42no—
195C42×C71—22no—
196C42×C71—22no—
197C42×C71—22no—
198C42×C71—42no—
199C42×C71C2×D414yes—
200C23×C71—21no—
201C23×C71—21no—
202C23×C71—21no—
203C23×C71—21no—
204C23×C71—22no—
205C23×C71—41no—
206C23×C71—41no—
207C23×C71—41no—
208C23×C71—41no—
209C23×C71—41no—
210C23×C71—41no—
211C23×C71C4×D412yes—
212C23×C71C2×D812yes—
213C23×C71#13512yes—
214C23×C71C22×D411yescharacteristic
215C22×D71—216no—
216C22×D71—24no—
217C22×D71—24no—
218C22×D71—24no—
219C22×D71—48no—
220C22×D71—48no—
221C22×D71—48no—
222C22×D71—48no—
223C22×D71—48no—
224C22×D71—42no—
225C22×D71—42no—
226C22×D71—42no—
227C22×D71—42no—
228C22×D71—48no—
229D4×C71—24no—
230D4×C71—48no—
231D4×C71—42no—
232C2×C4×C71—21no—
233C2×C4×C71—21no—
234C2×C4×C71—21no—
235C2×C4×C71—21no—
236C2×C4×C71—21no—
237C2×C4×C71—21no—
238C2×C4×C71—24no—
239C2×C4×C71—24no—
240C2×C4×C71—28no—
241C2×C4×C71—22no—
242C2×C4×C71—21no—
243C2×C4×C71—21no—
244C2×C4×C71—21no—
245C2×C4×C71—44no—
246C2×C4×C71—41no—
247C2×C4×C71—41no—
248C2×C4×C71—41no—
249C2×C4×C71—41no—
250C2×C4×C71—41no—
251C2×C4×C71—41no—
252C2×C4×C71—41no—
253C2×C4×C71—41no—
254C2×C4×C71—84no—
255C2×C4×C71C4×D412yes—
256C2×C4×C71#12012yes—
257C2×C4×C71#12012yes—
258C2×C4×C71C2×D812yes—
259C2×C4×C71C2×D812yes—
260C2×C4×C71AGL(1,ℤ/8)12yes—
261C2×C4×C71C23×C411yescharacteristic
262C2×C4×C71C22×D412yes—
263C2×C4×C71C2×#4112yes—
264C2×C4×C71C2×#4111yescharacteristic
265C2×Dic71—24no—
266C2×Dic71—48no—
267C2×Dic71—42no—
268C2×Dic71—42no—
269D284—216no—
270D284—24no—
271D284—24no—
272D284—24no—
273D284C4×D418yescomplemented
274C4×D71—416no—
275C4×D71—416no—
276C71⋊C8—24no—
277C71⋊C8—42no—
278C22×C71—22no—
279C22×C71—22no—
280C22×C71—22no—
281C22×C71—22no—
282C22×C71—22no—
283C22×C71—22no—
284C22×C71—42no—
285C22×C71—42no—
286C22×C71—42no—
287C22×C71—81no—
288C22×C71—81no—
289C22×C71—81no—
290C22×C71—81no—
291C22×C71C4×D814yescomplemented
292C22×C71C2×C4×D411yescharacteristic
293C22×C71C2×#12011yescharacteristic
294C22×C71#52511yescharacteristic
295C22×C71C22×D811yescharacteristic
296C22×C71C2×#13511yescharacteristic
297C22×C71C2×AGL(1,ℤ/8)11yescharacteristic
298C22×C71#57511yescharacteristic
299C2×D71—28no—
300C2×D71—432no—
301C2×D71—44no—
302C2×D71—44no—
303C2×D71—44no—
304C2×D71—44no—
305C2×D71—44no—
306C2×D71—44no—
307C4×C71—22no—
308C4×C71—22no—
309C4×C71—22no—
310C4×C71—42no—
311C4×C71—41no—
312C4×C71—81no—
313C4×C71—81no—
314C4×C71#44714yescomplemented
315C4×C71C2×C4×D412yes—
316C4×C71#52512yes—
317Dic71—44no—
318C4×#447—711nomaximal, Sylow
319C2×C71—24no—
320C2×C71—82no—
321C2×C71C4×#12011yescharacteristic
322C2×C71C2×C4×D811yescharacteristic
323C2×C71C4×AGL(1,ℤ/8)11yescharacteristic
324C2×C71C2×#44711yescharacteristic
325C2×C71#300211yescharacteristic
326C2×C71#310011yescharacteristic
327C2×C71#310511yescharacteristic
328D71—48no—
329C22×C4×D4—711no—
330C2×#447—711no—
331C2×C4×D8—712no—
332C4×#121D7111yescharacteristic, complemented
333#1879—712no—
334#1874—711no—
335#1862—712no—
336#1852—711no—
337#1786—711no—
338C4×#102—712no—
339C4×C22⋊C8—711no—
340C71C4×#44711yescharacteristic, complemented, Sylow
341C23×D4—711no—
342C24×C4—1421no—
343C22×D8—712no—
344C2×#121C2×D7111yescharacteristic
345C2×C4×D4—21no—
346C2×C4×D4—712no—
347C2×C4×D4—712no—
348C2×C4×D4—1428no—
349C2×C4×D4—1421no—
350C2×C4×D4—1421no—
351C2×C4×D4C2×D7111yescharacteristic, complemented
352C22×C4⋊C4—711no—
353C22×C22⋊C4—1421no—
354C22×C42C2×D7111yescharacteristic
355#447—718no—
356C4×D8—1428no—
357C2×#107—712no—
358C2×#102—712no—
359C2×#102—712no—
360C2×#102—712no—
361C2×#102—712no—
362C2×C22⋊C8—711no—
363C2×C22⋊C8—711no—
364C2×C4×C8—712no—
365#390C2×D7111yescharacteristic, complemented
366#389C2×D7111yescharacteristic, complemented
367#388—21no—
368#386—21no—
369#380C2×D7111yescharacteristic
370C4×C4⋊C4C2×D7111yescharacteristic, complemented
371C4×C22⋊C4—21no—
372#340—712no—
373#340—712no—
374#336—712no—
375C25—1421no—
376C22×D4—21no—
377C22×D4—714no—
378C22×D4—712no—
379C22×D4—1424no—
380C22×D4—1424no—
381C22×D4—1421no—
382C22×D4—1422no—
383C22×D4C22×D7111yescharacteristic
384C23×C4—21no—
385C23×C4—2844no—
386C23×C4—2844no—
387C23×C4—1428no—
388C23×C4—1421no—
389C23×C4—1422no—
390C23×C4—1422no—
391C23×C4C22⋊D7111yescharacteristic
392C23×C4C22⋊D7111yescharacteristic
393C23×C4C22×D7111yescharacteristic
394C2×D8—718no—
395C2×D8—1424no—
396C2×D8—1424no—
397C22×C8—712no—
398C22×C8—712no—
399#121—22no—
400#121C4×D7114yescomplemented
401C4×D4—24no—
402C4×D4—44no—
403C4×D4—718no—
404C4×D4—1424no—
405C4×D4—1424no—
406C4×D4—1428no—
407C4×D4—1428no—
408C4×D4—1424no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—712no—
411C2×C4⋊C4—1424no—
412C2×C4⋊C4—1421no—
413C2×C4⋊C4C22×D7111yescharacteristic
414C2×C4⋊C4C22×D7111yescharacteristic
415C2×C4⋊C4C22×D7111yescharacteristic
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—1428no—
422C2×C22⋊C4—1422no—
423C2×C22⋊C4—1422no—
424C2×C42—24no—
425C2×C42—21no—
426C2×C42C22⋊D7111yescharacteristic
427C2×C42C22⋊D7111yescharacteristic
428C2×C42C22×D7111yescharacteristic
429C2×C42C22×D7111yescharacteristic
430#107—1424no—
431#102—718no—
432#102—1424no—
433#102—1424no—
434#102—1424no—
435C22⋊C8—714no—
436C22⋊C8—1422no—
437C4×C8—1424no—
438#95—21no—
439#95—21no—
440#95—21no—
441C24—21no—
442C24—2842no—
443C24—2842no—
444C24—2842no—
445C24—2842no—
446C24—1424no—
447C24—1424no—
448C24—1422no—
449C24—1424no—
450C24C2×C22⋊D7111yescharacteristic
451C2×D4—24no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—21no—
455C2×D4—42no—
456C2×D4—42no—
457C2×D4—714no—
458C2×D4—714no—
459C2×D4—714no—
460C2×D4—14216no—
461C2×D4—1424no—
462C2×D4—1424no—
463C2×D4—14216no—
464C2×D4—1422no—
465C2×D4—1422no—
466C2×D4—1422no—
467C2×D4—1424no—
468C2×D4C2×C4×D7112yescomplemented
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—41no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—2844no—
483C22×C4—28432no—
484C22×C4—2842no—
485C22×C4—2842no—
486C22×C4—2844no—
487C22×C4—2844no—
488C22×C4—2844no—
489C22×C4—1428no—
490C22×C4—1424no—
491C22×C4—1422no—
492C22×C4—1428no—
493C22×C4#1176585014yescomplemented
494C22×C4C2×C4×D7112yes—
495C22×C4C2×C22⋊D7111yescharacteristic
496C22×C4C2×C22⋊D7111yescharacteristic
497C22×C4C2×C22⋊D7111yescharacteristic
498C22×C4C2×C22⋊D7111yescharacteristic
499C22×C4C2×C22⋊D7111yescharacteristic
500C22×C4#1176586512yes—
501C22×C4C23×D7111yescharacteristic
502D8—14216no—
503C2×C8—714no—
504C2×C8—1422no—
505C2×C8—1422no—
506C2×C8—1422no—
507C2×C8—1422no—
508C2×C8—1422no—
509C4⋊C4—21no—
510C4⋊C4—22no—
511C4⋊C4—22no—
512C4⋊C4—42no—
513C4⋊C4—714no—
514C4⋊C4—1424no—
515C4⋊C4—1422no—
516C4⋊C4C2×C4×D7112yescomplemented
517C22⋊C4—24no—
518C22⋊C4—42no—
519C22⋊C4—42no—
520C22⋊C4—42no—
521C22⋊C4—42no—
522C22⋊C4—1428no—
523C22⋊C4—1428no—
524C42—22no—
525C42—22no—
526C42—22no—
527C42—42no—
528C42D4×D7114yes—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—22no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—2848no—
541C23—2848no—
542C23—2848no—
543C23—2848no—
544C23—2848no—
545C23—2848no—
546C23—2842no—
547C23—2842no—
548C23—2842no—
549C23—2842no—
550C23—14216no—
551C23—1424no—
552C23—1424no—
553C23—1424no—
554C23C4×C22⋊D7112yes—
555C23C2×#1176585012yes—
556C23#1455614812yes—
557C23C22×C22⋊D7111yescharacteristic
558D4—24no—
559D4—48no—
560D4—42no—
561D4—718no—
562D4—14216no—
563D4—1424no—
564D4—1424no—
565D4—1424no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—28no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—44no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—84no—
589C2×C4—28416no—
590C2×C4—2848no—
591C2×C4—2842no—
592C2×C4—2842no—
593C2×C4—28416no—
594C2×C4—1424no—
595C2×C4C4×C22⋊D7112yes—
596C2×C4#1455609612yes—
597C2×C4#1455609612yes—
598C2×C4C2×#1176585012yes—
599C2×C4C2×#1176585012yes—
600C2×C4#1455615312yes—
601C2×C4C22×C4×D7111yescharacteristic
602C2×C4C2×D4×D7112yes—
603C2×C4#41×D7112yes—
604C2×C4C2×#1176586511yescharacteristic
605C8—2842no—
606C8—1424no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—42no—
614C22—42no—
615C22—42no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—28432no—
621C22—2844no—
622C22—2844no—
623C22—2844no—
624C22—2844no—
625C22—2844no—
626C22—2844no—
627C22—1428no—
628C22C4×#1176585014yescomplemented
629C22C2×C4×C22⋊D7111yescharacteristic
630C22C2×#1455609611yescharacteristic
631C22#1798650611yescharacteristic
632C22C22×#1176585011yescharacteristic
633C22C2×#1455614811yescharacteristic
634C22C2×#1455615311yescharacteristic
635C22#1798679711yescharacteristic
636C4—22no—
637C4—22no—
638C4—22no—
639C4—41no—
640C4—42no—
641C4—81no—
642C4—81no—
643C4—2844no—
644C4#1798613214yesdirect product factor
645C4C4×D4×D7112yes—
646C4#1798650812yes—
647C2—24no—
648C2—82no—
649C2—2848no—
650C2C4×#1455609611yescharacteristic
651C2C2×C4×#1176585011yescharacteristic
652C2C4×#1455615311yescharacteristic
653C2C2×#1798613211yescharacteristic
654C2#2259755611yescharacteristic
655C2#2259833611yescharacteristic
656C2#2259838311yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC4×#121×C71C2
socleC23×C71C22×D4
prime radicalC2×#17986132C2
cosocleC22×C4×C71C24
hypercenterC4×#121D71
hypocenterC71C4×#447
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C22×C4×D284C2semidirect
3. C2×C4×#11765850C2semidirect
4. #22588691C2semidirect
5. #22588658C2semidirect
6. #22588586C2semidirect
7. #22588527C2semidirect
8. #22588270C2semidirect
9. C4×#14556048C2semidirect
10. C4×C22⋊(C71⋊C8)C2semidirect
11. C4×#121×C71C2semidirect
22. #17986132C4direct (N × H)
24. C2×#14556061C22semidirect
25. C2×#14556049C22semidirect
31. C2×C4×C71⋊C8C22semidirect
32. #17985761C22semidirect
33. #17985761C22semidirect
34. #17985754C22semidirect
37. C2×C4×D4×C71C22semidirect
39. #390×C71C22semidirect
40. #389×C71C22semidirect
44. C4×C4⋊C4×C71C22semidirect
51. C22×D284C2×C4semidirect
61. C2×#11765850C2×C4semidirect
69. C4×D284D4semidirect
80. #14556048C2×C4semidirect
82. C22⋊(C71⋊C8)C2×C4semidirect
91. #121×C71C2×C4semidirect
148. C2×C71⋊C8C22×C4semidirect
162. C2×D4×C71C22×C4semidirect
176. C22×C4×C71D8semidirect
189. C4⋊C4×C71C22×C4semidirect
273. D284C4×D4semidirect
291. C22×C71C4×D8semidirect
314. C4×C71#447semidirect
332. C4×#121D71semidirect
340. C71C4×#447semidirect
351. C2×C4×D4C2×D71semidirect
365. #390C2×D71semidirect
366. #389C2×D71semidirect
370. C4×C4⋊C4C2×D71semidirect
400. #121C4×D71semidirect
468. C2×D4C2×C4×D71semidirect
493. C22×C4#11765850semidirect
516. C4⋊C4C2×C4×D71semidirect
628. C22C4×#11765850semidirect
644. C4#17986132direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×D2842
C2×#179861322
C2×C4×#117658502
#225886912
#225886582
#225885862
#225885272
#225882702
C4×#145560482
C4×C22⋊(C71⋊C8)2
C4×#121×C712
C4×#44771