Finite Group Databasebeta

← C4×#16837641 #28595192

Subgroups — C4×#16837641 #28595192

Order 15104.

1054 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837641C211yesmaximal, characteristic
2C2×C4×#11745672C211yesmaximal, characteristic, complemented
3C22×C4×C59⋊C8C211yesmaximal, characteristic
4C4×#14273706C211yesmaximal, characteristic
5#21424956C211yesmaximal, characteristic, complemented
6#21424826C211yesmaximal, characteristic, complemented
7#21424775C211yesmaximal, characteristic, complemented
8#21424771C211yesmaximal, characteristic, complemented
9#21424520C211yesmaximal, characteristic
10#21424517C211yesmaximal, characteristic
11#21424123C211yesmaximal, characteristic
12C4×#14273660C211yesmaximal, characteristic, complemented
13C4×#14273650C211yesmaximal, characteristic, complemented
14C4×#14273651C211yesmaximal, characteristic, complemented
15C4×C22⋊Q8×C59C211yesmaximal, characteristic
16C22×#11745672C2211yescharacteristic
17C23×C59⋊C8C2211yescharacteristic
18C23×C59⋊C8C2211yescharacteristic
19C2×#14273706C2211yescharacteristic
20C2×C4×Dic118C2211yescharacteristic
21#16837641C418yesdirect product factor
22C4×#11745672—24no—
23C2×#14273660C2211yescharacteristic
24C2×#14273660C2211yescharacteristic
25C2×#14273660C2211yescharacteristic
26C2×#14273651C2211yescharacteristic
27C2×#14273651C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273650C2211yescharacteristic
30C2×#14273650C2211yescharacteristic
31C2×#14273650C2211yescharacteristic
32C2×C4×C59⋊C8—24no—
33C2×C4×C59⋊C8C2211yescharacteristic
34C2×C4×C59⋊C8C2211yescharacteristic
35C2×C4×C59⋊C8C2211yescharacteristic
36C2×C4×C59⋊C8C2211yescharacteristic
37#16837308C2211yescharacteristic
38#16837300C2211yescharacteristic
39#16837286—21no—
40#16837275—21no—
41#16837262C2211yescharacteristic
42C4×Dic59⋊C4—21no—
43C4×C4⋊Dic59C2211yescharacteristic
44C4×C22⋊Dic59—21no—
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51C2×C22⋊Q8×C59C2211yescharacteristic
52C2×C4×Q8×C59C2211yescharacteristic
53C22×C42×C59C2211yescharacteristic
54C59×#391C2211yescharacteristic
55C59×#389C2211yescharacteristic
56C59×#387—21no—
57C59×#385—21no—
58C59×#380C2211yescharacteristic
59C4×C4⋊C4×C59—21no—
60C4×C4⋊C4×C59C2211yescharacteristic
61C4×C22⋊C4×C59—21no—
62C22×Dic118C2311yescharacteristic
63C2×#11745672—22no—
64C2×#11745672—22no—
65C2×#11745672C2×C414yescomplemented
66C22×C59⋊C8—22no—
67C22×C59⋊C8—22no—
68C22×C59⋊C8—22no—
69C22×C59⋊C8—22no—
70C22×C59⋊C8—22no—
71C22×C59⋊C8C2×C414yes—
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75C22×C59⋊C8C2311yescharacteristic
76#14273706—22no—
77#14273706C2×C414yes—
78C4×Dic118—22no—
79C4×Dic118—22no—
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C2×Dic59⋊C4—21no—
86C2×C22⋊Dic59—21no—
87C2×C22⋊Dic59—21no—
88C2×C4×Dic59—21no—
89C2×C4×Dic59—21no—
90#14273660—22no—
91#14273660—22no—
92#14273660C2×C414yescomplemented
93#14273651—22no—
94#14273651—22no—
95#14273651C2×C414yescomplemented
96#14273650—22no—
97#14273650—22no—
98#14273650C2×C414yescomplemented
99C4×C59⋊C8—22no—
100C4×C59⋊C8—22no—
101C4×C59⋊C8—22no—
102C4×C59⋊C8D414yes—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C22×Q8×C59C2311yescharacteristic
109C23×C4×C59D411yescharacteristic
110C23×C4×C59D411yescharacteristic
111C23×C4×C59C2311yescharacteristic
112C22⋊Q8×C59—22no—
113C22⋊Q8×C59C2×C414yes—
114C4×Q8×C59—22no—
115C4×Q8×C59—22no—
116C2×C4⋊C4×C59—21no—
117C2×C4⋊C4×C59—21no—
118C2×C4⋊C4×C59—21no—
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C4⋊C4×C59C2311yescharacteristic
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C42×C59—22no—
125C2×C42×C59—22no—
126C2×C42×C59—21no—
127C2×C42×C59—21no—
128C2×C42×C59D411yescharacteristic
129C2×C42×C59D411yescharacteristic
130C2×C42×C59C2311yescharacteristic
131C2×C42×C59C2311yescharacteristic
132#95×C59—21no—
133#95×C59—21no—
134#95×C59—21no—
135#95×C59—21no—
136#95×C59—21no—
137C24×C59C2×D411yescharacteristic
138C2×Q8×C59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59C22×C412yes—
144C22×C4×C59—22no—
145C22×C4×C59—22no—
146C22×C4×C59—22no—
147C22×C4×C59—22no—
148C22×C4×C59—22no—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—21no—
156C22×C4×C59—21no—
157C22×C4×C59Q1614yescomplemented
158C22×C4×C59C22×C412yes—
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59#4112yes—
165C22×C4×C59C2411yescharacteristic
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59—21no—
170C2×Dic118—21no—
171C2×Dic118—21no—
172C2×Dic118—21no—
173C2×Dic118—21no—
174C2×Dic118—21no—
175C2×Dic118C22×C412yes—
176C4⋊C4×C59—24no—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—42no—
183C4⋊C4×C59—42no—
184C4⋊C4×C59C22×C412yes—
185C22⋊C4×C59—24no—
186C22⋊C4×C59—42no—
187C42×C59—22no—
188C42×C59—22no—
189C42×C59—21no—
190C42×C59—21no—
191C42×C59—42no—
192C42×C59—42no—
193C42×C59C2×D412yes—
194C42×C59#4112yes—
195C22⋊Dic59—24no—
196C22⋊Dic59—42no—
197#11745672—28no—
198C4⋊Dic59—21no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59C22×C412yes—
204Dic59⋊C4—24no—
205Dic59⋊C4—42no—
206Dic59⋊C4—42no—
207C4×Dic59—42no—
208C4×Dic59—42no—
209C2×C59⋊C8—28no—
210C2×C59⋊C8—21no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—28no—
217C2×C59⋊C8C22×C412yes—
218C2×C59⋊C8C22×C412yes—
219C2×C59⋊C8C2×D412yes—
220C2×C59⋊C8C2×D412yes—
221C2×C59⋊C8#4112yes—
222C2×C59⋊C8#4112yes—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59C4×D412yes—
228C23×C59C2×Q1612yes—
229C23×C59#13512yes—
230C23×C59C22×D411yescharacteristic
231Q8×C59—22no—
232Q8×C59—22no—
233Q8×C59—41no—
234Q8×C59—41no—
235C2×C4×C59—28no—
236C2×C4×C59—21no—
237C2×C4×C59—21no—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—28no—
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—41no—
252C2×C4×C59—41no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59C4×D412yes—
262C2×C4×C59#12112yes—
263C2×C4×C59#12112yes—
264C2×C4×C59C2×Q1612yes—
265C2×C4×C59C2×Q1612yes—
266C2×C4×C59#13512yes—
267C2×C4×C59#13512yes—
268C2×C4×C59C23×C411yescharacteristic
269C2×C4×C59C22×D411yescharacteristic
270C2×C4×C59C2×#4111yescharacteristic
271C2×C4×C59C2×#4111yescharacteristic
272C2×C4×C59C2×#4111yescharacteristic
273C2×C4×C59C2×#4111yescharacteristic
274C2×Dic59—22no—
275C2×Dic59—22no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286Dic118—22no—
287Dic118—22no—
288Dic118—41no—
289Dic118—41no—
290C59⋊C8—22no—
291C59⋊C8—22no—
292C59⋊C8—22no—
293C59⋊C8C4×D414yes—
294C4×#467—591nomaximal, Sylow
295C22×C59—22no—
296C22×C59—22no—
297C22×C59—22no—
298C22×C59—22no—
299C22×C59—22no—
300C22×C59—22no—
301C22×C59C4×Q1614yescomplemented
302C22×C59C2×C4×D411yescharacteristic
303C22×C59C2×#12111yescharacteristic
304C22×C59#53211yescharacteristic
305C22×C59C22×Q1611yescharacteristic
306C22×C59C2×#13511yescharacteristic
307C22×C59C2×#13511yescharacteristic
308C22×C59C2×#13511yescharacteristic
309C4×C59—22no—
310C4×C59—22no—
311C4×C59—22no—
312C4×C59—22no—
313C4×C59—42no—
314C4×C59—42no—
315C4×C59—81no—
316C4×C59—81no—
317C4×C59#46714yescomplemented
318C4×C59C2×C4×D411yescharacteristic
319C4×C59C4×#4111yescharacteristic
320C4×C59#52511yescharacteristic
321C4×C59#52911yescharacteristic
322Dic59—42no—
323Dic59—42no—
324Dic59—81no—
325Dic59—81no—
326C2×#467—591no—
327C2×C4×Q16—591no—
328C22×C4×C8—591no—
329C4×C22⋊Q8—591no—
330C4×C22⋊Q8D5911yescharacteristic
331#1969—591no—
332#1942—591no—
333#1933—591no—
334#1933—591no—
335#1892—591no—
336#1892—591no—
337#1808—591no—
338C4×#107—591no—
339C4×#103—591no—
340C4×#103—591no—
341C2×C59—24no—
342C2×C59C4×#12111yescharacteristic
343C2×C59C2×C4×Q1611yescharacteristic
344C2×C59C4×#13511yescharacteristic
345C2×C59C2×#46711yescharacteristic
346C2×C59#305011yescharacteristic
347C2×C59#316811yescharacteristic
348C2×C59#317011yescharacteristic
349C22×Q16—591no—
350C23×C8—591no—
351C23×C8—591no—
352C2×C22⋊Q8—591no—
353C2×C22⋊Q8C2×D5911yescharacteristic
354C2×C4×Q8—591no—
355C2×C4×Q8C2×D5911yescharacteristic
356C22×C42C2×D5911yescharacteristic
357#467—598no—
358C4×Q16—1184no—
359C2×#107—591no—
360C2×#107—591no—
361C2×#107—591no—
362C2×#103—591no—
363C2×#103—591no—
364C2×#103—591no—
365C2×#103—591no—
366C2×#103—591no—
367C2×#103—591no—
368C2×C4×C8—591no—
369C2×C4×C8—591no—
370C2×C4×C8—591no—
371C2×C4×C8—591no—
372C2×C4×C8—1184no—
373#391—591no—
374#391C2×D5911yescharacteristic
375#389—591no—
376#389C2×D5911yescharacteristic
377#387—21no—
378#387—1181no—
379#385—21no—
380#385—1181no—
381#380—591no—
382#380C2×D5911yescharacteristic
383C4×C4⋊C4—21no—
384C4×C4⋊C4—591no—
385C4×C4⋊C4—1181no—
386C4×C4⋊C4C2×D5911yescharacteristic
387C4×C22⋊C4—21no—
388C4×C22⋊C4—1181no—
389#340—591no—
390#340—591no—
391#340—591no—
392#340—591no—
393#340—591no—
394#340—591no—
395C59C4×#46711yescharacteristic, complemented, Sylow
396C22×Q8—591no—
397C22×Q8C22×D5911yescharacteristic
398C23×C4C22⋊D5911yescharacteristic
399C23×C4C22⋊D5911yescharacteristic
400C23×C4C22×D5911yescharacteristic
401C2×Q16—594no—
402C2×Q16—1182no—
403C2×Q16—1182no—
404C22×C8—591no—
405C22×C8—594no—
406C22×C8—591no—
407C22×C8—591no—
408C22×C8—591no—
409C22×C8—1182no—
410C22×C8—1182no—
411C22×C8—1182no—
412C22×C8—1182no—
413C22×C8—1182no—
414C22⋊Q8—22no—
415C22⋊Q8—594no—
416C22⋊Q8—1182no—
417C22⋊Q8C4×D5914yes—
418C4×Q8—22no—
419C4×Q8—22no—
420C4×Q8—1182no—
421C4×Q8—1182no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—591no—
426C2×C4⋊C4—591no—
427C2×C4⋊C4—591no—
428C2×C4⋊C4—1181no—
429C2×C4⋊C4—1181no—
430C2×C4⋊C4—1181no—
431C2×C4⋊C4C22×D5911yescharacteristic
432C2×C4⋊C4C22×D5911yescharacteristic
433C2×C4⋊C4C22×D5911yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—1181no—
437C2×C22⋊C4—1181no—
438C2×C42—22no—
439C2×C42—22no—
440C2×C42—21no—
441C2×C42—21no—
442C2×C42—1181no—
443C2×C42—1181no—
444C2×C42C22⋊D5911yescharacteristic
445C2×C42C22⋊D5911yescharacteristic
446C2×C42C22×D5911yescharacteristic
447C2×C42C22×D5911yescharacteristic
448#107—594no—
449#107—1182no—
450#107—1182no—
451#103—594no—
452#103—594no—
453#103—1182no—
454#103—1182no—
455#103—1182no—
456#103—1182no—
457C4×C8—594no—
458C4×C8—1182no—
459C4×C8—1182no—
460C4×C8—1182no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—1181no—
467#95—1181no—
468#95—1181no—
469#95—1181no—
470#95—1181no—
471C24C2×C22⋊D5911yescharacteristic
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—592no—
478C2×Q8—1181no—
479C2×Q8—1181no—
480C2×Q8—1181no—
481C2×Q8—1181no—
482C2×Q8—1181no—
483C2×Q8C2×C4×D5912yes—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—1181no—
498C22×C4—1181no—
499C22×C4—1181no—
500C22×C4—1181no—
501C22×C4#1174567214yescomplemented
502C22×C4C2×C4×D5912yes—
503C22×C4#1174568512yes—
504C22×C4C2×C22⋊D5911yescharacteristic
505C22×C4C2×C22⋊D5911yescharacteristic
506C22×C4C2×C22⋊D5911yescharacteristic
507C22×C4C2×C22⋊D5911yescharacteristic
508C22×C4C2×C22⋊D5911yescharacteristic
509C22×C4C23×D5911yescharacteristic
510Q16—1188no—
511C2×C8—592no—
512C2×C8—592no—
513C2×C8—592no—
514C2×C8—592no—
515C2×C8—592no—
516C2×C8—592no—
517C2×C8—1188no—
518C2×C8—1188no—
519C2×C8—1181no—
520C2×C8—1181no—
521C2×C8—1181no—
522C2×C8—1181no—
523C2×C8—1181no—
524C2×C8—1181no—
525C4⋊C4—24no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—592no—
534C4⋊C4—1184no—
535C4⋊C4—1181no—
536C4⋊C4—1181no—
537C4⋊C4—1181no—
538C4⋊C4—1181no—
539C4⋊C4—1181no—
540C4⋊C4—2362no—
541C4⋊C4—2362no—
542C4⋊C4C2×C4×D5912yes—
543C22⋊C4—24no—
544C22⋊C4—42no—
545C22⋊C4—1184no—
546C22⋊C4—2362no—
547C42—22no—
548C42—22no—
549C42—21no—
550C42—21no—
551C42—42no—
552C42—42no—
553C42—2362no—
554C42—2362no—
555C42D4×D5912yes—
556C42#1174568712yes—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23C4×C22⋊D5912yes—
562C23C2×#1174567212yes—
563C23#1427374712yes—
564C23C22×C22⋊D5911yescharacteristic
565Q8—22no—
566Q8—22no—
567Q8—41no—
568Q8—41no—
569Q8—1182no—
570Q8—1182no—
571Q8—2361no—
572Q8—2361no—
573C2×C4—28no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—28no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—41no—
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—41no—
599C2×C4—1182no—
600C2×C4—1182no—
601C2×C4—2361no—
602C2×C4—2361no—
603C2×C4—2361no—
604C2×C4—2361no—
605C2×C4—2361no—
606C2×C4—2361no—
607C2×C4—2361no—
608C2×C4—2361no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4C4×C22⋊D5912yes—
612C2×C4#1427369912yes—
613C2×C4#1427369912yes—
614C2×C4C2×#1174567212yes—
615C2×C4C2×#1174567212yes—
616C2×C4#1427374712yes—
617C2×C4#1427374712yes—
618C2×C4C22×C4×D5911yescharacteristic
619C2×C4C2×D4×D5911yescharacteristic
620C2×C4#41×D5911yescharacteristic
621C2×C4#41×D5911yescharacteristic
622C2×C4C2×#1174568711yescharacteristic
623C2×C4C2×#1174568511yescharacteristic
624C8—594no—
625C8—1182no—
626C8—1182no—
627C8—1182no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22C4×#1174567214yescomplemented
635C22C2×C4×C22⋊D5911yescharacteristic
636C22C2×#1427369911yescharacteristic
637C22#1683794811yescharacteristic
638C22C22×#1174567211yescharacteristic
639C22C2×#1427374711yescharacteristic
640C22C2×#1427374711yescharacteristic
641C22C2×#1427374711yescharacteristic
642C4—22no—
643C4—22no—
644C4—22no—
645C4—22no—
646C4—42no—
647C4—42no—
648C4—81no—
649C4—81no—
650C4—4721no—
651C4—4721no—
652C4—2362no—
653C4—2362no—
654C4#1683764114yesdirect product factor
655C4C4×D4×D5911yescharacteristic
656C4C4×#1174568711yescharacteristic
657C4#1683791111yescharacteristic
658C4#1683793211yescharacteristic
659C2—24no—
660C2C4×#1427369911yescharacteristic
661C2C2×C4×#1174567211yescharacteristic
662C2C4×#1427374711yescharacteristic
663C2C2×#1683764111yescharacteristic
664C2#2143367411yescharacteristic
665C2#2143466011yescharacteristic
666C2#2143467811yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC4×C22⋊Q8×C59C2
socleC23×C59C22×D4
prime radicalC24×C59C2×D4
cosocleC22×C4×C59C24
hypercenterC4×C22⋊Q8D59
hypocenterC59C4×#467
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11745672C2semidirect
5. #21424956C2semidirect
6. #21424826C2semidirect
7. #21424775C2semidirect
8. #21424771C2semidirect
12. C4×#14273660C2semidirect
13. C4×#14273650C2semidirect
14. C4×#14273651C2semidirect
21. #16837641C4direct (N × H)
65. C2×#11745672C2×C4semidirect
92. #14273660C2×C4semidirect
95. #14273651C2×C4semidirect
98. #14273650C2×C4semidirect
157. C22×C4×C59Q16semidirect
301. C22×C59C4×Q16semidirect
317. C4×C59#467semidirect
395. C59C4×#467semidirect
501. C22×C4#11745672semidirect
634. C22C4×#11745672semidirect
654. C4#16837641direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168376412
C2×C4×#117456722
C22×C4×C59⋊C82
C4×#142737062
#214249562
#214248262
#214247752
#214247712
#214245202
#214245172
#214241232
C4×#142736602
C4×#142736502
C4×#142736512
C4×C22⋊Q8×C592
C4×#46759