Finite Group Databasebeta

← #28651640

Subgroups — #28651640

Order 15104.

968 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837682C211yesmaximal, characteristic, complemented
2C2×C4×#11745669C211yesmaximal, characteristic
3#21427946C211yesmaximal, characteristic, complemented
4#21425625C211yesmaximal, characteristic, complemented
5#21425568C211yesmaximal, characteristic, complemented
6#21425481C211yesmaximal, characteristic, complemented
7#21425424C211yesmaximal, characteristic, complemented
8#21424826C211yesmaximal, characteristic, complemented
9#21424655C211yesmaximal, characteristic, complemented
10#21424444C211yesmaximal, characteristic
11#21424444C211yesmaximal, characteristic
12#21424343C211yesmaximal, characteristic, complemented
13#21424343C211yesmaximal, characteristic, complemented
14#21424342C211yesmaximal, characteristic, complemented
15D4×C4⋊C4×C59C211yesmaximal, characteristic, complemented
16C22×#11745669C2211yescharacteristic
17C2×#14273727C2211yescharacteristic
18C2×#14273705—21no—
19C2×C4×D236C2211yescharacteristic
20#16837682—24no—
21C4×#11745669—24no—
22C2×#14273660C2211yescharacteristic
23C2×#14273660C2211yescharacteristic
24C2×#14273660C2211yescharacteristic
25C2×#14273660C2211yescharacteristic
26C2×#14273660C2211yescharacteristic
27C2×C4⋊(C59⋊C8)C2211yescharacteristic
28C2×#14273648C2211yescharacteristic
29C2×#14273648C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×#14273647C2211yescharacteristic
32C2×#14273647C2211yescharacteristic
33C2×#14273647C2211yescharacteristic
34C2×C4×C59⋊C8C2211yescharacteristic
35#16837324—21no—
36#16837315—21no—
37#16837304C2211yescharacteristic
38#16837304C2211yescharacteristic
39#16837300C2211yescharacteristic
40#16837300C2211yescharacteristic
41#16837276—21no—
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837157C2211yescharacteristic
47#16837157C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837157C2211yescharacteristic
50C2×C4×D4×C59C2211yescharacteristic
51C2×C4×D4×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C22×C4⋊C4×C59—21no—
54C59×#389C2211yescharacteristic
55C59×#389C2211yescharacteristic
56C59×#385—21no—
57C59×#385—21no—
58C59×#384C2211yescharacteristic
59C59×#380—21no—
60C4×C4⋊C4×C59C2211yescharacteristic
61C22×Dic118—21no—
62C22×D236C2311yescharacteristic
63C22×C4×D59—21no—
64C2×#11745669—22no—
65C2×#11745669—22no—
66C2×#11745669Q814yescomplemented
67C22×C59⋊C8C2311yescharacteristic
68C22×C59⋊C8C2311yescharacteristic
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71#14273727—22no—
72#14273727—41no—
73#14273705—44no—
74C4×D236—22no—
75C4×D236—41no—
76C2×C4⋊Dic59—21no—
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×Dic59⋊C4—21no—
81C2×Dic59⋊C4—21no—
82C2×(C2×D59)⋊C4—21no—
83C2×(C2×D59)⋊C4—21no—
84C2×(C2×D59)⋊C4—21no—
85C2×(C2×D59)⋊C4—21no—
86C2×(C2×D59)⋊C4—21no—
87#14273660—22no—
88#14273660—22no—
89#14273660—22no—
90#14273660—22no—
91#14273660—41no—
92C4⋊(C59⋊C8)—22no—
93#14273648—22no—
94#14273648—22no—
95#14273648D414yes—
96#14273647—22no—
97#14273647—22no—
98#14273647—41no—
99C4×C59⋊C8—22no—
100C59⋊#95—21no—
101C59⋊#95—21no—
102C22×D4×C59C2311yescharacteristic
103C23×C4×C59—21no—
104C23×C4×C59—21no—
105C23×C4×C59—21no—
106C4×D4×C59—22no—
107C4×D4×C59—22no—
108C4×D4×C59—22no—
109C4×D4×C59—22no—
110C4×D4×C59—41no—
111C4×D4×C59—41no—
112C2×C4⋊C4×C59—21no—
113C2×C4⋊C4×C59—21no—
114C2×C4⋊C4×C59—21no—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59—44no—
117C2×C4⋊C4×C59D411yescharacteristic
118C2×C4⋊C4×C59D411yescharacteristic
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C4⋊C4×C59C2311yescharacteristic
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59—21no—
125C2×C42×C59C2311yescharacteristic
126C2×C42×C59C2311yescharacteristic
127C2×C42×C59C2311yescharacteristic
128#95×C59—21no—
129#95×C59—21no—
130#95×C59D411yescharacteristic
131#95×C59D411yescharacteristic
132C24×C59—21no—
133C23×D59—21no—
134C2×D4×C59—21no—
135C2×D4×C59—21no—
136C2×D4×C59—21no—
137C2×D4×C59C2×D412yes—
138C2×D4×C59C2×Q812yes—
139C2×D4×C59#4112yes—
140C22×C4×C59—24no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—42no—
145C22×C4×C59—42no—
146C22×C4×C59—42no—
147C22×C4×C59—42no—
148C22×C4×C59—42no—
149C22×C4×C59—42no—
150C22×C4×C59—81no—
151C22×C4×C59—81no—
152C22×C4×C59C2×D411yescharacteristic
153C22×C4×C59C2×D411yescharacteristic
154C22×C4×C59C2×D411yescharacteristic
155C22×C4×C59C2×D411yescharacteristic
156C22×C4×C59C2×D411yescharacteristic
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2411yescharacteristic
159C22×Dic59—21no—
160C22×Dic59—21no—
161C22×Dic59—21no—
162C2×D236—21no—
163C2×D236—21no—
164C2×D236—21no—
165C2×D236—21no—
166C2×D236—21no—
167C2×D236C2×Q812yes—
168C2×C4×D59—42no—
169C2×C4×D59—42no—
170C2×C4×D59—81no—
171C2×Dic118—42no—
172C2×Dic118—42no—
173C2×Dic118—81no—
174C4⋊C4×C59—21no—
175C4⋊C4×C59—21no—
176C4⋊C4×C59—21no—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—41no—
180C4⋊C4×C59—42no—
181C4⋊C4×C59—42no—
182C4⋊C4×C59—42no—
183C4⋊C4×C59—81no—
184C4⋊C4×C59D814yescomplemented
185C4⋊C4×C59#4112yes—
186C22⋊C4×C59—24no—
187C22⋊C4×C59—42no—
188C22⋊C4×C59—42no—
189C42×C59—21no—
190C42×C59—21no—
191C42×C59—21no—
192C42×C59—21no—
193C42×C59—21no—
194C42×C59—21no—
195#11745669—28no—
196(C2×D59)⋊C4—42no—
197(C2×D59)⋊C4—42no—
198(C2×D59)⋊C4—42no—
199(C2×D59)⋊C4—42no—
200(C2×D59)⋊C4—81no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—42no—
207C4⋊Dic59C2×D412yes—
208Dic59⋊C4—42no—
209Dic59⋊C4—42no—
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—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8C2×D412yes—
221C2×C59⋊C8C2×Q812yes—
222C23×C59—22no—
223C23×C59—22no—
224C23×C59—22no—
225C23×C59—41no—
226C23×C59—41no—
227C23×C59—41no—
228C23×C59—41no—
229C23×C59C22×D411yescharacteristic
230C22×D59—22no—
231C22×D59—41no—
232C22×D59—41no—
233C22×D59—41no—
234C22×D59—41no—
235C22×D59—41no—
236C22×D59—41no—
237D4×C59—22no—
238D4×C59—22no—
239D4×C59—22no—
240D4×C59C22⋊Q814yescomplemented
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
244C2×C4×C59—21no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—22no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—48no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—84no—
267C2×C4×C59—84no—
268C2×C4×C59C2×D812yes—
269C2×C4×C59C2×D812yes—
270C2×C4×C59C2×D812yes—
271C2×C4×C59C22×D411yescharacteristic
272C2×C4×C59C22×Q811yescharacteristic
273C2×C4×C59C2×#4111yescharacteristic
274C2×C4×C59C2×#4111yescharacteristic
275C2×C4×C59H(5,𝔽2)11yescharacteristic
276C2×C4×C592−1+411yescharacteristic
277C2×Dic59—22no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286D236—22no—
287D236—22no—
288D236—41no—
289D236—41no—
290C4×D59—84no—
291Dic118—84no—
292C59⋊C8—22no—
293C59⋊C8—22no—
294C59⋊C8—41no—
295C59⋊C8—41no—
296#26368—591nomaximal, Sylow
297C22×C59—24no—
298C22×C59—42no—
299C22×C59—42no—
300C22×C59—42no—
301C22×C59—42no—
302C22×C59—42no—
303C22×C59—42no—
304C22×C59#52511yescharacteristic
305C22×C59D4211yescharacteristic
306C22×C59D4×Q811yescharacteristic
307C22×C59C22×D811yescharacteristic
308C22×C59#57511yescharacteristic
309C22×C59#57611yescharacteristic
310C22×C59#57811yescharacteristic
311C2×D59—42no—
312C2×D59—42no—
313C2×D59—42no—
314C2×D59—81no—
315C2×D59—81no—
316C2×D59—81no—
317C2×D59—81no—
318C4×C59—22no—
319C4×C59—22no—
320C4×C59—22no—
321C4×C59—42no—
322C4×C59—41no—
323C4×C59—41no—
324C4×C59—41no—
325C4×C59—81no—
326C4×C59—81no—
327C4×C59C2×C22⋊Q811yescharacteristic
328C4×C59#53911yescharacteristic
329C4×C59#54711yescharacteristic
330C4×C59#55411yescharacteristic
331Dic59—42no—
332Dic59—81no—
333Dic59—81no—
334C2×#474—591no—
335C2×C4×D8—591no—
336#2452—591no—
337D4×C4⋊C4D5911yescharacteristic, complemented
338#2093—591no—
339#2083—591no—
340#2067—591no—
341#2057—591no—
342#1942—591no—
343#1916—591no—
344#1879—591no—
345#1879—591no—
346#1862—591no—
347#1862—591no—
348#1862—591no—
349C2×C59—44no—
350C2×C59#244911yescharacteristic
351C2×C59#310011yescharacteristic
352C2×C59#312411yescharacteristic
353C2×C59#326911yescharacteristic
354C2×C59D4×D811yescharacteristic
355C2×C59Q8×D811yescharacteristic
356C2×C59#338911yescharacteristic
357D59—82no—
358C22×D8—591no—
359C2×C4⋊Q8—591no—
360C2×C22⋊Q8—1181no—
361C2×C4×D4—591no—
362C2×C4×D4C2×D5911yescharacteristic
363C2×C4×D4C2×D5911yescharacteristic
364C2×C4×D4C2×D5911yescharacteristic
365C22×C4⋊C4—21no—
366#474—1184no—
367C4×D8—1184no—
368C2×#107—591no—
369C2×#107—591no—
370C2×#107—591no—
371C2×#107—591no—
372C2×#107—591no—
373C2×C4⋊C8—591no—
374C2×#102—591no—
375C2×#102—591no—
376C2×#102—591no—
377C2×#102—591no—
378C2×#102—591no—
379C2×#102—591no—
380C2×C4×C8—591no—
381#396—1181no—
382#393—1181no—
383#390—591no—
384#390—591no—
385#389—591no—
386#389—591no—
387#389C2×D5911yescharacteristic
388#389C2×D5911yescharacteristic
389#385—21no—
390#385—21no—
391#385—1181no—
392#384C2×D5911yescharacteristic
393#380—21no—
394C4×C4⋊C4C2×D5911yescharacteristic
395#340—591no—
396#340—591no—
397#340—591no—
398#340—591no—
399#336—591no—
400#336—591no—
401#336—591no—
402#336—591no—
403C59#2636811yescharacteristic, complemented, Sylow
404C22×Q8—1181no—
405C22×D4—591no—
406C22×D4C22×D5911yescharacteristic
407C23×C4—21no—
408C23×C4—21no—
409C23×C4—21no—
410C23×C4—1181no—
411C2×D8—594no—
412C2×D8—1182no—
413C2×D8—1182no—
414C22×C8—591no—
415C22×C8—591no—
416C22×C8—591no—
417C22×C8—591no—
418C4⋊Q8—1182no—
419C4⋊Q8—2361no—
420C22⋊Q8—2364no—
421C4×D4—22no—
422C4×D4—22no—
423C4×D4—22no—
424C4×D4—22no—
425C4×D4—41no—
426C4×D4—41no—
427C4×D4—1182no—
428C4×D4—2361no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—44no—
434C2×C4⋊C4—591no—
435C2×C4⋊C4—591no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—1181no—
438C2×C4⋊C4—1181no—
439C2×C4⋊C4—1181no—
440C2×C4⋊C4C22⋊D5911yescharacteristic
441C2×C4⋊C4C22⋊D5911yescharacteristic
442C2×C4⋊C4C22×D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—1181no—
449C2×C22⋊C4—1181no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C42C22×D5911yescharacteristic
454C2×C42C22×D5911yescharacteristic
455C2×C42C22×D5911yescharacteristic
456#107—1182no—
457#107—1182no—
458#107—1182no—
459#107—1182no—
460#107—2361no—
461C4⋊C8—1182no—
462#102—594no—
463#102—1182no—
464#102—1182no—
465#102—1182no—
466#102—1182no—
467#102—2361no—
468C4×C8—1182no—
469#95—21no—
470#95—21no—
471#95—1181no—
472#95—1181no—
473#95C22⋊D5911yescharacteristic
474#95C22⋊D5911yescharacteristic
475C24—21no—
476C24—1181no—
477C2×Q8—4721no—
478C2×Q8—2362no—
479C2×Q8—2362no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—592no—
484C2×D4—1181no—
485C2×D4—1181no—
486C2×D4—1181no—
487C2×D4—1181no—
488C2×D4—1181no—
489C2×D4#1174568512yes—
490C2×D4D4×D5912yes—
491C2×D4Q8×D5912yes—
492C22×C4—24no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—81no—
503C22×C4—81no—
504C22×C4—1181no—
505C22×C4—1181no—
506C22×C4—1181no—
507C22×C4—4721no—
508C22×C4—2362no—
509C22×C4—2362no—
510C22×C4C2×C22⋊D5911yescharacteristic
511C22×C4C2×C22⋊D5911yescharacteristic
512C22×C4C2×C22⋊D5911yescharacteristic
513C22×C4C2×C22⋊D5911yescharacteristic
514C22×C4C2×C22⋊D5911yescharacteristic
515C22×C4C2×C22⋊D5911yescharacteristic
516C22×C4C23×D5911yescharacteristic
517D8—1188no—
518C2×C8—592no—
519C2×C8—592no—
520C2×C8—1181no—
521C2×C8—1181no—
522C2×C8—1181no—
523C2×C8—1181no—
524C2×C8—1181no—
525C2×C8—1181no—
526C2×C8—1181no—
527C2×C8—1181no—
528C2×C8—1181no—
529C2×C8—1181no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—41no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—81no—
540C4⋊C4—592no—
541C4⋊C4—1181no—
542C4⋊C4—1181no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—1181no—
546C4⋊C4—2362no—
547C4⋊C4—2362no—
548C4⋊C4—2362no—
549C4⋊C4#1174566914yescomplemented
550C4⋊C4#1174568512yes—
551C22⋊C4—24no—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—4721no—
555C22⋊C4—2362no—
556C22⋊C4—2362no—
557C22⋊C4—2362no—
558C22⋊C4—2362no—
559C42—21no—
560C42—21no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—1182no—
573C23—2361no—
574C23—2361no—
575C23—2361no—
576C23—2361no—
577C23—2361no—
578C23—2361no—
579C23C22×C22⋊D5911yescharacteristic
580Q8—4724no—
581D4—22no—
582D4—22no—
583D4—22no—
584D4—1182no—
585D4—1182no—
586D4—2361no—
587D4—2361no—
588D4#1427370514yescomplemented
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—48no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—84no—
615C2×C4—84no—
616C2×C4—1182no—
617C2×C4—4724no—
618C2×C4—2361no—
619C2×C4—2361no—
620C2×C4—2361no—
621C2×C4—2361no—
622C2×C4—2361no—
623C2×C4—2361no—
624C2×C4—2361no—
625C2×C4—2361no—
626C2×C4C2×#1174566912yes—
627C2×C4C2×#1174566912yes—
628C2×C4C2×#1174566912yes—
629C2×C4C2×D4×D5911yescharacteristic
630C2×C4C2×Q8×D5911yescharacteristic
631C2×C4C2×#1174568511yescharacteristic
632C2×C4C2×#1174568511yescharacteristic
633C2×C4#1427377211yescharacteristic
634C2×C4#1427377511yescharacteristic
635C8—1182no—
636C8—1182no—
637C8—2361no—
638C8—2361no—
639C22—24no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—4721no—
647C22—4721no—
648C22—4721no—
649C22—4721no—
650C22—2362no—
651C22—2362no—
652C22—2362no—
653C22#1683791311yescharacteristic
654C22D4×C22⋊D5911yescharacteristic
655C22Q8×C22⋊D5911yescharacteristic
656C22C22×#1174566911yescharacteristic
657C22#1683820011yescharacteristic
658C22#1683820511yescharacteristic
659C22#1683821711yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—42no—
664C4—41no—
665C4—41no—
666C4—41no—
667C4—81no—
668C4—81no—
669C4—4721no—
670C4—4721no—
671C4—2362no—
672C4C2×#1427370511yescharacteristic
673C4#1683799911yescharacteristic
674C4#1683805311yescharacteristic
675C4#1683810711yescharacteristic
676C2—44no—
677C2—4722no—
678C2#2142790511yescharacteristic
679C2#2143409611yescharacteristic
680C2#2143435811yescharacteristic
681C2#2143564711yescharacteristic
682C2D4×#1174566911yescharacteristic
683C2Q8×#1174566911yescharacteristic
684C2#2143705011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingD4×C4⋊C4×C59C2
socleC23×C59C22×D4
prime radicalC22×#11745669C22
hypercenterD4×C4⋊C4D59
hypocenterC59#26368
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#16837682C2semidirect
3. #21427946C2semidirect
4. #21425625C2semidirect
5. #21425568C2semidirect
6. #21425481C2semidirect
7. #21425424C2semidirect
8. #21424826C2semidirect
9. #21424655C2semidirect
12. #21424343C2semidirect
13. #21424343C2semidirect
14. #21424342C2semidirect
15. D4×C4⋊C4×C59C2semidirect
66. C2×#11745669Q8semidirect
184. C4⋊C4×C59D8semidirect
240. D4×C59C22⋊Q8semidirect
337. D4×C4⋊C4D59semidirect
403. C59#26368semidirect
549. C4⋊C4#11745669semidirect
588. D4#14273705semidirect

Maximal subgroups

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

subgroupindex
C2×#168376822
C2×C4×#117456692
#214279462
#214256252
#214255682
#214254812
#214254242
#214248262
#214246552
#214244442
#214243432
#214243422
D4×C4⋊C4×C592
#2636859