Finite Group Databasebeta

← C4×#17986323 #32004605

Subgroups — C4×#17986323 #32004605

Order 18176.

972 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
1C2×#17986323C211yesmaximal, characteristic
2C4×#14556102C211yesmaximal, characteristic
3#22588967C211yesmaximal, characteristic, complemented
4#22588960C211yesmaximal, characteristic, complemented
5#22588932C211yesmaximal, characteristic, complemented
6#22588925C211yesmaximal, characteristic, complemented
7#22588662C211yesmaximal, characteristic
8#22588539C211yesmaximal, characteristic, complemented
9#22588435C211yesmaximal, characteristic, complemented
10C4×#14556061C211yesmaximal, characteristic, complemented
11C4×#14556059C211yesmaximal, characteristic, complemented
12C4×#14556048C211yesmaximal, characteristic, complemented
13C4×#14556048C211yesmaximal, characteristic, complemented
14C4×C22⋊(C71⋊C8)C211yesmaximal, characteristic, complemented
15C4×#117×C71C211yesmaximal, characteristic, complemented
16C2×#14556102C2211yescharacteristic
17C2×C4×D284C2211yescharacteristic
18C2×C4×C22⋊D71—21no—
19#17986323C418yesdirect product factor
20C2×#14556061C2211yescharacteristic
21C2×#14556061C2211yescharacteristic
22C2×#14556059C2211yescharacteristic
23C2×#14556059C2211yescharacteristic
24C2×#14556048C2211yescharacteristic
25C2×#14556048C2211yescharacteristic
26C2×#14556048C2211yescharacteristic
27C2×#14556048C2211yescharacteristic
28C2×C22⋊(C71⋊C8)C2211yescharacteristic
29C2×C22⋊(C71⋊C8)C2211yescharacteristic
30C2×C4×C71⋊C8C2211yescharacteristic
31C2×C4×C71⋊C8C2211yescharacteristic
32#17985901C2211yescharacteristic
33#17985897C2211yescharacteristic
34#17985890—21no—
35#17985878—21no—
36#17985859C2211yescharacteristic
37C4×C4⋊Dic71C2211yescharacteristic
38C4×(C2×D71)⋊C4—21no—
39#17985761C2211yescharacteristic
40#17985761C2211yescharacteristic
41#17985761C2211yescharacteristic
42#17985761C2211yescharacteristic
43#17985761C2211yescharacteristic
44#17985761C2211yescharacteristic
45#17985761C2211yescharacteristic
46#17985761C2211yescharacteristic
47#17985754C2211yescharacteristic
48#17985754C2211yescharacteristic
49C2×#117×C71C2211yescharacteristic
50C2×#117×C71C2211yescharacteristic
51C22×C42×C71C2211yescharacteristic
52C4×C4⋊C4×C71C2211yescharacteristic
53C4×C4⋊C4×C71C2211yescharacteristic
54C4×C4⋊C4×C71C2211yescharacteristic
55C4×C4⋊C4×C71C2211yescharacteristic
56C4×C22⋊C4×C71—21no—
57C4×C22⋊C4×C71—21no—
58#376×C71—21no—
59C43×C71—21no—
60C22×D284C2311yescharacteristic
61C22×C22⋊D71—21no—
62C22×C4×D71—21no—
63C22×C71⋊C8C2311yescharacteristic
64C22×C71⋊C8C2311yescharacteristic
65C22×C71⋊C8C2311yescharacteristic
66C22×C71⋊C8C2311yescharacteristic
67#14556102—22no—
68#14556102C2×C414yes—
69C4×D284—22no—
70C4×D284—22no—
71C4×C22⋊D71—44no—
72C2×C4⋊Dic71C2311yescharacteristic
73C2×C4⋊Dic71C2311yescharacteristic
74C2×C4⋊Dic71C2311yescharacteristic
75C2×Dic71⋊C4—21no—
76C2×C22⋊Dic71—21no—
77C2×(C2×D71)⋊C4—21no—
78C2×(C2×D71)⋊C4—21no—
79C2×(C2×D71)⋊C4—21no—
80C2×(C2×D71)⋊C4—21no—
81C2×C4×Dic71—21no—
82#14556061—22no—
83#14556061C2×C414yescomplemented
84#14556059—22no—
85#14556059C2×C414yescomplemented
86#14556048—22no—
87#14556048—22no—
88#14556048C2×C414yescomplemented
89#14556048C2×C414yescomplemented
90C22⋊(C71⋊C8)—22no—
91C22⋊(C71⋊C8)C2×C414yescomplemented
92C4×C71⋊C8—22no—
93C4×C71⋊C8—22no—
94C71⋊#95—21no—
95C71⋊#95—21no—
96C71⋊#95—21no—
97C23×C4×C71D411yescharacteristic
98C23×C4×C71D411yescharacteristic
99C23×C4×C71C2311yescharacteristic
100#117×C71—22no—
101#117×C71—22no—
102#117×C71—22no—
103#117×C71C2×C414yescomplemented
104C2×C4⋊C4×C71C2311yescharacteristic
105C2×C4⋊C4×C71C2311yescharacteristic
106C2×C4⋊C4×C71C2311yescharacteristic
107C2×C4⋊C4×C71C2311yescharacteristic
108C2×C22⋊C4×C71—21no—
109C2×C22⋊C4×C71—21no—
110C2×C42×C71—21no—
111C2×C42×C71—21no—
112C2×C42×C71—22no—
113C2×C42×C71—22no—
114C2×C42×C71—21no—
115C2×C42×C71—21no—
116C2×C42×C71—21no—
117C2×C42×C71—21no—
118C2×C42×C71D411yescharacteristic
119C2×C42×C71D411yescharacteristic
120C2×C42×C71C2311yescharacteristic
121C2×C42×C71C2311yescharacteristic
122#95×C71—21no—
123#95×C71—21no—
124#95×C71—21no—
125#95×C71—21no—
126C23×D71—21no—
127C2×D284—21no—
128C2×D284—21no—
129C2×D284—21no—
130C2×D284—21no—
131C2×D284—21no—
132C2×D284C22×C412yes—
133C2×C22⋊D71—24no—
134C2×C22⋊D71—42no—
135C2×C22⋊D71—42no—
136C22×Dic71—21no—
137C22×Dic71—21no—
138C22×Dic71—21no—
139C2×C4×D71—42no—
140C2×C4×D71—42no—
141C2×C4×D71—42no—
142C2×C71⋊C8—21no—
143C2×C71⋊C8—21no—
144C2×C71⋊C8—21no—
145C2×C71⋊C8—21no—
146C2×C71⋊C8—21no—
147C2×C71⋊C8—21no—
148C2×C71⋊C8—21no—
149C2×C71⋊C8—21no—
150C2×C71⋊C8—21no—
151C2×C71⋊C8—21no—
152C2×C71⋊C8C22×C412yes—
153C2×C71⋊C8C22×C412yes—
154C4⋊Dic71—21no—
155C4⋊Dic71—21no—
156C4⋊Dic71—21no—
157C4⋊Dic71—21no—
158C4⋊Dic71—21no—
159C4⋊Dic71C22×C412yes—
160Dic71⋊C4—42no—
161C22⋊Dic71—42no—
162(C2×D71)⋊C4—24no—
163(C2×D71)⋊C4—42no—
164(C2×D71)⋊C4—42no—
165(C2×D71)⋊C4—42no—
166C4×Dic71—42no—
167C24×C71C2×D411yescharacteristic
168C22×C4×C71—21no—
169C22×C4×C71—21no—
170C22×C4×C71—21no—
171C22×C4×C71—21no—
172C22×C4×C71—21no—
173C22×C4×C71—21no—
174C22×C4×C71—21no—
175C22×C4×C71—21no—
176C22×C4×C71—22no—
177C22×C4×C71—22no—
178C22×C4×C71—22no—
179C22×C4×C71—22no—
180C22×C4×C71—22no—
181C22×C4×C71—41no—
182C22×C4×C71C22×C412yes—
183C22×C4×C71C2×D411yescharacteristic
184C22×C4×C71C2×D411yescharacteristic
185C22×C4×C71C2×D411yescharacteristic
186C22×C4×C71C2×D411yescharacteristic
187C22×C4×C71C2×D411yescharacteristic
188C22×C4×C71#4112yes—
189C22×C4×C71C2411yescharacteristic
190C4⋊C4×C71—21no—
191C4⋊C4×C71—21no—
192C4⋊C4×C71—21no—
193C4⋊C4×C71—21no—
194C4⋊C4×C71C22×C412yes—
195C4⋊C4×C71C22×C412yes—
196C4⋊C4×C71#4112yes—
197C4⋊C4×C71#4112yes—
198C22⋊C4×C71—24no—
199C22⋊C4×C71—24no—
200C42×C71—24no—
201C42×C71—24no—
202C42×C71—22no—
203C42×C71—22no—
204C42×C71—21no—
205C42×C71—21no—
206C42×C71—42no—
207C42×C71—42no—
208C42×C71—42no—
209C42×C71—42no—
210C42×C71#4112yes—
211C42×C71#4112yes—
212C23×C71—21no—
213C23×C71—21no—
214C23×C71—21no—
215C23×C71—21no—
216C23×C71—21no—
217C23×C71—21no—
218C23×C71C4×D412yes—
219C23×C71C22×D411yescharacteristic
220C22×D71—22no—
221C22×D71—41no—
222C22×D71—41no—
223C22×D71—41no—
224C22×D71—41no—
225C22×D71—41no—
226C22×D71—41no—
227C2×C4×C71—21no—
228C2×C4×C71—21no—
229C2×C4×C71—21no—
230C2×C4×C71—21no—
231C2×C4×C71—21no—
232C2×C4×C71—21no—
233C2×C4×C71—22no—
234C2×C4×C71—22no—
235C2×C4×C71—22no—
236C2×C4×C71—22no—
237C2×C4×C71—22no—
238C2×C4×C71—22no—
239C2×C4×C71—21no—
240C2×C4×C71—22no—
241C2×C4×C71—22no—
242C2×C4×C71—21no—
243C2×C4×C71—21no—
244C2×C4×C71—44no—
245C2×C4×C71—41no—
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—44no—
254C2×C4×C71C4×D412yes—
255C2×C4×C71#12312yes—
256C2×C4×C71#12312yes—
257C2×C4×C71#13512yes—
258C2×C4×C71#13512yes—
259C2×C4×C71AGL(1,ℤ/8)12yes—
260C2×C4×C71C23×C411yescharacteristic
261C2×C4×C71C2×#4111yescharacteristic
262C2×C4×C71C2×#4111yescharacteristic
263C2×C4×C71C2×#4111yescharacteristic
264C2×C4×C71C2×#4111yescharacteristic
265C2×C4×C71C2×#4111yescharacteristic
266C22⋊D71—48no—
267C2×Dic71—22no—
268C2×Dic71—41no—
269C2×Dic71—41no—
270C2×Dic71—41no—
271C2×Dic71—41no—
272C2×Dic71—41no—
273C2×Dic71—41no—
274C2×Dic71—41no—
275C2×Dic71—41no—
276D284—22no—
277D284—22no—
278D284—41no—
279D284—41no—
280C4×D71—84no—
281C71⋊C8—22no—
282C71⋊C8—22no—
283C71⋊C8—41no—
284C71⋊C8—41no—
285C22×C71—22no—
286C22×C71—22no—
287C22×C71—22no—
288C22×C71—41no—
289C22×C71—41no—
290C22×C71—41no—
291C22×C71—41no—
292C22×C71C2×C4×D411yescharacteristic
293C22×C71C2×#12311yescharacteristic
294C22×C71#52511yescharacteristic
295C22×C71C2×#13511yescharacteristic
296C22×C71C2×#13511yescharacteristic
297C22×C71C2×AGL(1,ℤ/8)11yescharacteristic
298C22×C71#57511yescharacteristic
299C2×D71—42no—
300C2×D71—42no—
301C2×D71—42no—
302C2×D71—81no—
303C2×D71—81no—
304C2×D71—81no—
305C2×D71—81no—
306C4×C71—22no—
307C4×C71—22no—
308C4×C71—22no—
309C4×C71—41no—
310C4×C71—42no—
311C4×C71—42no—
312C4×C71—42no—
313C4×C71—42no—
314C4×C71#48214yescomplemented
315C4×C71C4×#4111yescharacteristic
316C4×C71C4×#4111yescharacteristic
317C4×C71#52911yescharacteristic
318C4×C71#52911yescharacteristic
319Dic71—42no—
320Dic71—81no—
321Dic71—81no—
322C4×#482—711nomaximal, Sylow
323C2×C71—42no—
324C2×C71C4×#12311yescharacteristic
325C2×C71C4×#13511yescharacteristic
326C2×C71C4×AGL(1,ℤ/8)11yescharacteristic
327C2×C71C2×#48211yescharacteristic
328C2×C71#309111yescharacteristic
329C2×C71#310211yescharacteristic
330C2×C71#310611yescharacteristic
331D71—82no—
332C2×#482—711no—
333C4×#121—711no—
334C4×#117D7111yescharacteristic, complemented
335#1926—711no—
336#1925—711no—
337#1921—711no—
338#1920—711no—
339#1875—711no—
340#1854—711no—
341#1825—711no—
342C4×#107—711no—
343C4×#106—711no—
344C4×#102—711no—
345C4×#102—711no—
346C4×C22⋊C8—711no—
347C71C4×#48211yescharacteristic, complemented, Sylow
348C2×#121—711no—
349C2×C4×D4—711no—
350C2×C4×D4—1421no—
351C2×#117C2×D7111yescharacteristic
352C2×#117C2×D7111yescharacteristic
353C22×C42C2×D7111yescharacteristic
354#482—718no—
355C2×#107—711no—
356C2×#107—711no—
357C2×#106—711no—
358C2×#106—711no—
359C2×#102—711no—
360C2×#102—711no—
361C2×#102—711no—
362C2×#102—711no—
363C2×C22⋊C8—711no—
364C2×C22⋊C8—711no—
365C2×C4×C8—711no—
366C2×C4×C8—711no—
367#390—711no—
368#389—711no—
369#388—1421no—
370#386—1421no—
371#380—711no—
372C4×C4⋊C4—711no—
373C4×C4⋊C4C2×D7111yescharacteristic
374C4×C4⋊C4C2×D7111yescharacteristic
375C4×C4⋊C4C2×D7111yescharacteristic
376C4×C4⋊C4C2×D7111yescharacteristic
377C4×C22⋊C4—21no—
378C4×C22⋊C4—21no—
379C4×C22⋊C4—1421no—
380#376—21no—
381C43—21no—
382#340—711no—
383#340—711no—
384#340—711no—
385#340—711no—
386#340—711no—
387#340—711no—
388#340—711no—
389#340—711no—
390#336—711no—
391#336—711no—
392C22×D4—711no—
393C22×D4—1421no—
394C23×C4—1421no—
395C23×C4C22⋊D7111yescharacteristic
396C23×C4C22⋊D7111yescharacteristic
397C23×C4C22×D7111yescharacteristic
398C22×C8—711no—
399C22×C8—711no—
400C22×C8—711no—
401C22×C8—711no—
402#121—714no—
403#121—1422no—
404C4×D4—2844no—
405C4×D4—1422no—
406C4×D4—1422no—
407#117—22no—
408#117—22no—
409#117—22no—
410#117C4×D7114yescomplemented
411C2×C4⋊C4—711no—
412C2×C4⋊C4—711no—
413C2×C4⋊C4—711no—
414C2×C4⋊C4—1421no—
415C2×C4⋊C4C22×D7111yescharacteristic
416C2×C4⋊C4C22×D7111yescharacteristic
417C2×C4⋊C4C22×D7111yescharacteristic
418C2×C4⋊C4C22×D7111yescharacteristic
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—1421no—
422C2×C22⋊C4—1421no—
423C2×C22⋊C4—1421no—
424C2×C22⋊C4—1421no—
425C2×C22⋊C4—1421no—
426C2×C42—21no—
427C2×C42—21no—
428C2×C42—22no—
429C2×C42—22no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42—21no—
433C2×C42—21no—
434C2×C42—1421no—
435C2×C42C22⋊D7111yescharacteristic
436C2×C42C22⋊D7111yescharacteristic
437C2×C42C22×D7111yescharacteristic
438C2×C42C22×D7111yescharacteristic
439#107—714no—
440#107—1422no—
441#106—714no—
442#106—1422no—
443#102—714no—
444#102—714no—
445#102—1422no—
446#102—1422no—
447C22⋊C8—714no—
448C22⋊C8—1422no—
449C4×C8—1422no—
450C4×C8—1422no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—1421no—
456#95—1421no—
457#95—1421no—
458C24—1421no—
459C24C2×C22⋊D7111yescharacteristic
460C2×D4—2842no—
461C2×D4—2842no—
462C2×D4—712no—
463C2×D4—1424no—
464C2×D4—1421no—
465C2×D4—1421no—
466C2×D4—1421no—
467C2×D4—1421no—
468C2×D4—1421no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—41no—
483C22×C4—2842no—
484C22×C4—2842no—
485C22×C4—2842no—
486C22×C4—1421no—
487C22×C4—1421no—
488C22×C4—1421no—
489C22×C4C2×C4×D7112yes—
490C22×C4C2×C22⋊D7111yescharacteristic
491C22×C4C2×C22⋊D7111yescharacteristic
492C22×C4C2×C22⋊D7111yescharacteristic
493C22×C4C2×C22⋊D7111yescharacteristic
494C22×C4C2×C22⋊D7111yescharacteristic
495C22×C4#1176586512yes—
496C22×C4C23×D7111yescharacteristic
497C2×C8—712no—
498C2×C8—712no—
499C2×C8—1421no—
500C2×C8—1421no—
501C2×C8—1421no—
502C2×C8—1421no—
503C2×C8—1421no—
504C2×C8—1421no—
505C2×C8—1421no—
506C2×C8—1421no—
507C2×C8—1421no—
508C2×C8—1421no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—2842no—
514C4⋊C4—712no—
515C4⋊C4—1421no—
516C4⋊C4—1421no—
517C4⋊C4—1421no—
518C4⋊C4—1421no—
519C4⋊C4—1421no—
520C4⋊C4C2×C4×D7112yes—
521C4⋊C4C2×C4×D7112yes—
522C4⋊C4#1176586512yes—
523C4⋊C4#1176586512yes—
524C22⋊C4—24no—
525C22⋊C4—24no—
526C22⋊C4—2842no—
527C22⋊C4—2842no—
528C22⋊C4—2842no—
529C22⋊C4—2842no—
530C22⋊C4—1424no—
531C42—24no—
532C42—21no—
533C42—21no—
534C42—24no—
535C42—22no—
536C42—22no—
537C42—42no—
538C42—42no—
539C42—42no—
540C42—42no—
541C42—2842no—
542C42#1176586512yes—
543C42#1176586512yes—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—2841no—
551C23—2841no—
552C23—2841no—
553C23—2841no—
554C23—2841no—
555C23—2841no—
556C23—1422no—
557C23C4×C22⋊D7112yes—
558C23C22×C22⋊D7111yescharacteristic
559D4—2848no—
560D4—2841no—
561D4—2841no—
562D4—1422no—
563D4—1422no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—44no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—44no—
591C2×C4—2841no—
592C2×C4—2841no—
593C2×C4—2841no—
594C2×C4—2841no—
595C2×C4—2841no—
596C2×C4—2841no—
597C2×C4—2841no—
598C2×C4—2841no—
599C2×C4—5684no—
600C2×C4—1422no—
601C2×C4C4×C22⋊D7112yes—
602C2×C4#1455611112yes—
603C2×C4#1455611112yes—
604C2×C4#1455614812yes—
605C2×C4#1455614812yes—
606C2×C4#1455615312yes—
607C2×C4C22×C4×D7111yescharacteristic
608C2×C4C2×#1176586511yescharacteristic
609C2×C4C2×#1176586511yescharacteristic
610C2×C4C2×#1176586511yescharacteristic
611C2×C4C2×#1176586511yescharacteristic
612C2×C4C2×#1176586511yescharacteristic
613C8—2841no—
614C8—2841no—
615C8—1422no—
616C8—1422no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—2842no—
625C22—2842no—
626C22—2842no—
627C22—5681no—
628C22—5681no—
629C22—5681no—
630C22—5681no—
631C22C2×C4×C22⋊D7111yescharacteristic
632C22C2×#1455611111yescharacteristic
633C22#1798651011yescharacteristic
634C22C2×#1455614811yescharacteristic
635C22C2×#1455614811yescharacteristic
636C22C2×#1455615311yescharacteristic
637C22#1798679711yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—42no—
642C4—42no—
643C4—41no—
644C4—42no—
645C4—42no—
646C4—2842no—
647C4—5681no—
648C4—5681no—
649C4#1798632314yesdirect product factor
650C4C4×#1176586511yescharacteristic
651C4C4×#1176586511yescharacteristic
652C4#1798653311yescharacteristic
653C4#1798653311yescharacteristic
654C2—42no—
655C2—5682no—
656C2C4×#1455611111yescharacteristic
657C2C4×#1455614811yescharacteristic
658C2C4×#1455615311yescharacteristic
659C2C2×#1798632311yescharacteristic
660C2#2259825311yescharacteristic
661C2#2259835811yescharacteristic
662C2#2259840011yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC4×#117×C71C2
socleC23×C71C22×D4
prime radicalC2×#14556102C22
cosocleC22×C4×C71C24
hypercenterC4×#117D71
hypocenterC71C4×#482
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C4×#117

Complements

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

NH ≅ G/Ntype
3. #22588967C2semidirect
4. #22588960C2semidirect
5. #22588932C2semidirect
6. #22588925C2semidirect
8. #22588539C2semidirect
9. #22588435C2semidirect
10. C4×#14556061C2semidirect
11. C4×#14556059C2semidirect
12. C4×#14556048C2semidirect
13. C4×#14556048C2semidirect
14. C4×C22⋊(C71⋊C8)C2semidirect
15. C4×#117×C71C2semidirect
19. #17986323C4direct (N × H)
83. #14556061C2×C4semidirect
85. #14556059C2×C4semidirect
88. #14556048C2×C4semidirect
89. #14556048C2×C4semidirect
91. C22⋊(C71⋊C8)C2×C4semidirect
103. #117×C71C2×C4semidirect
314. C4×C71#482semidirect
334. C4×#117D71semidirect
347. C71C4×#482semidirect
410. #117C4×D71semidirect
649. C4#17986323direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179863232
C4×#145561022
#225889672
#225889602
#225889322
#225889252
#225886622
#225885392
#225884352
C4×#145560612
C4×#145560592
C4×#145560482
C4×C22⋊(C71⋊C8)2
C4×#117×C712
C4×#48271