Finite Group Databasebeta

← #28605914

Subgroups — #28605914

Order 15104.

1010 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837403C211yesmaximal, characteristic
2#21426971C211yesmaximal, characteristic, complemented
3#21424789C211yesmaximal, characteristic, complemented
4#21424775C211yesmaximal, characteristic, complemented
5#21424734C211yesmaximal, characteristic, complemented
6#21424727C211yesmaximal, characteristic, complemented
7#21424357C211yesmaximal, characteristic, complemented
8#21424343C211yesmaximal, characteristic, complemented
9#21424180C211yesmaximal, characteristic, complemented
10#21424127C211yesmaximal, characteristic, complemented
11#21424036C211yesmaximal, characteristic
12#21423921C211yesmaximal, characteristic, complemented
13C4×#14273648C211yesmaximal, characteristic, complemented
14#21423880C211yesmaximal, characteristic, complemented
15C59×#2339C211yesmaximal, characteristic
16C22×#11745664C2211yescharacteristic
17C22×C4⋊Dic59C2211yescharacteristic
18C2×#14273660C2211yescharacteristic
19C2×#14273658C2211yescharacteristic
20#16837403C418yescomplemented
21C2×#14273651C2211yescharacteristic
22C2×#14273651C2211yescharacteristic
23C2×#14273651C2211yescharacteristic
24C2×#14273651C2211yescharacteristic
25C2×#14273648C2211yescharacteristic
26C2×#14273648C2211yescharacteristic
27C2×#14273648C2211yescharacteristic
28C2×#14273648C2211yescharacteristic
29C2×C22⋊(C59⋊C8)C2211yescharacteristic
30C2×#14273638C2211yescharacteristic
31C2×C4×C59⋊C8C2211yescharacteristic
32#16837300C2211yescharacteristic
33#16837300C2211yescharacteristic
34#16837285—21no—
35#16837285—21no—
36#16837262C2211yescharacteristic
37#16837260—21no—
38C4×C4⋊Dic59C2211yescharacteristic
39C4×C4⋊Dic59C2211yescharacteristic
40C22⋊C4×Dic59—21no—
41#16837164C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837157C2211yescharacteristic
48#16837157C2211yescharacteristic
49C22×#41×C59C2211yescharacteristic
50C2×C4×D4×C59C2211yescharacteristic
51C2×C4×D4×C59C2211yescharacteristic
52C59×#391C2211yescharacteristic
53C59×#391C2211yescharacteristic
54C59×#386—21no—
55C59×#386—21no—
56C59×#381—21no—
57C59×#380C2211yescharacteristic
58C4×C22⋊C4×C59C2211yescharacteristic
59C2×#95×C59—21no—
60C23×Dic59—21no—
61C2×#11745664—41no—
62C2×#11745664—41no—
63C2×#11745664C2×C414yescomplemented
64C22×C59⋊C8C2311yescharacteristic
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68C2×C4⋊Dic59—21no—
69C2×C4⋊Dic59—22no—
70C2×C4⋊Dic59C2×C414yescomplemented
71C2×C4⋊Dic59C2311yescharacteristic
72C2×C4⋊Dic59C2311yescharacteristic
73C2×C4⋊Dic59C2311yescharacteristic
74C2×C4⋊Dic59C2311yescharacteristic
75C2×Dic59⋊C4—21no—
76C2×Dic59⋊C4—21no—
77C2×C22⋊Dic59—21no—
78C2×C4×Dic59—21no—
79C2×C4×Dic59—21no—
80#14273660—41no—
81#14273658—41no—
82#14273651—41no—
83#14273651—41no—
84#14273651C2×C414yescomplemented
85#14273651C2×C414yescomplemented
86#14273648—22no—
87#14273648—22no—
88#14273648C2×C414yes—
89#14273648C2×C414yes—
90C22⋊(C59⋊C8)—22no—
91#14273638—41no—
92C4×C59⋊C8—41no—
93C59⋊#95—21no—
94C59⋊#95—21no—
95C59⋊#95—21no—
96C59⋊#95—21no—
97C59⋊#95—21no—
98C2×#41×C59—22no—
99C2×#41×C59—22no—
100C2×#41×C59—22no—
101C2×#41×C59—41no—
102C2×#41×C59—41no—
103C2×#41×C59C2×C414yes—
104C22×Q8×C59C2311yescharacteristic
105C22×D4×C59—21no—
106C22×D4×C59C2311yescharacteristic
107C23×C4×C59—21no—
108C23×C4×C59—21no—
109C23×C4×C59—21no—
110C23×C4×C59C2311yescharacteristic
111C4×D4×C59—22no—
112C4×D4×C59—22no—
113C4×D4×C59—41no—
114C4×D4×C59—41no—
115C2×C4⋊C4×C59C2311yescharacteristic
116C2×C4⋊C4×C59C2311yescharacteristic
117C2×C22⋊C4×C59—21no—
118C2×C22⋊C4×C59—21no—
119C2×C22⋊C4×C59—21no—
120C2×C22⋊C4×C59D411yescharacteristic
121C2×C22⋊C4×C59D411yescharacteristic
122C2×C42×C59C2311yescharacteristic
123C2×C42×C59C2311yescharacteristic
124#95×C59—21no—
125#95×C59—21no—
126#95×C59—21no—
127#95×C59—21no—
128#95×C59—21no—
129#95×C59D411yescharacteristic
130#95×C59D411yescharacteristic
131C24×C59—21no—
132C24×C59C2×D411yescharacteristic
133#41×C59—28no—
134#41×C59—44no—
135#41×C59—44no—
136#41×C59—44no—
137C2×Q8×C59—21no—
138C2×Q8×C59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59C22×C412yes—
143C2×D4×C59—24no—
144C2×D4×C59—21no—
145C2×D4×C59—21no—
146C2×D4×C59—21no—
147C2×D4×C59—42no—
148C2×D4×C59—42no—
149C2×D4×C59C22×C412yes—
150C2×D4×C59#4112yes—
151C2×D4×C59#4112yes—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—21no—
156C22×C4×C59—21no—
157C22×C4×C59—24no—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—42no—
161C22×C4×C59—42no—
162C22×C4×C59—42no—
163C22×C4×C59—42no—
164C22×C4×C59—42no—
165C22×C4×C59—42no—
166C22×C4×C59—81no—
167C22×C4×C59—81no—
168C22×C4×C59C22×C412yes—
169C22×C4×C59C2×D411yescharacteristic
170C22×C4×C59C2×D411yescharacteristic
171C22×C4×C59C2×D411yescharacteristic
172C22×C4×C59C2×D411yescharacteristic
173C22×C4×C59C2×D411yescharacteristic
174C22×C4×C59#4112yes—
175C22×C4×C59C2411yescharacteristic
176C22×Dic59—21no—
177C22×Dic59—21no—
178C22×Dic59—24no—
179C22×Dic59—21no—
180C22×Dic59—21no—
181C22×Dic59—81no—
182C22×Dic59—81no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C22⋊C4×C59—22no—
188C22⋊C4×C59—41no—
189C22⋊C4×C59—42no—
190C22⋊C4×C59—42no—
191C22⋊C4×C59—81no—
192C42×C59—21no—
193C42×C59—21no—
194C42×C59—21no—
195C42×C59—21no—
196C22⋊Dic59—42no—
197C4⋊Dic59—24no—
198C4⋊Dic59—21no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59C22×C412yes—
205C4⋊Dic59C22×C412yes—
206Dic59⋊C4—81no—
207Dic59⋊C4—81no—
208C4×Dic59—81no—
209C4×Dic59—81no—
210#11745664—44no—
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⋊C8—21no—
221C2×C59⋊C8C22×C412yes—
222C2×C59⋊C8C22×C412yes—
223C23×C59—22no—
224C23×C59—22no—
225C23×C59—22no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59—41no—
235C23×C59—41no—
236C23×C59C4×D412yes—
237C23×C59C22×D411yescharacteristic
238Q8×C59—22no—
239Q8×C59—22no—
240Q8×C59—41no—
241Q8×C59—41no—
242D4×C59—22no—
243D4×C59—22no—
244D4×C59—22no—
245D4×C59—48no—
246D4×C59#11714yes—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
255C2×C4×C59—22no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—48no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—41no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59—41no—
272C2×C4×C59—41no—
273C2×C4×C59—41no—
274C2×C4×C59—84no—
275C2×C4×C59—84no—
276C2×C4×C59C4×D412yes—
277C2×C4×C59#13712yes—
278C2×C4×C59C23×C411yescharacteristic
279C2×C4×C59C2×#4111yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59C2×#4111yescharacteristic
282C2×C4×C59H(5,𝔽2)11yescharacteristic
283C2×C4×C59H(5,𝔽2)11yescharacteristic
284C2×Dic59—22no—
285C2×Dic59—22no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—84no—
297C59⋊C8—22no—
298C59⋊C8—22no—
299C59⋊C8—41no—
300C59⋊C8—41no—
301#22578—591nomaximal, Sylow
302C22×C59—22no—
303C22×C59—24no—
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—41no—
307C22×C59—42no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—41no—
311C22×C59—42no—
312C22×C59—42no—
313C22×C59—41no—
314C22×C59—42no—
315C22×C59—41no—
316C22×C59C2×C4×D411yescharacteristic
317C22×C59#54611yescharacteristic
318C22×C59#54611yescharacteristic
319C22×C59C2×#13711yescharacteristic
320C22×C59#57511yescharacteristic
321C22×C59#57611yescharacteristic
322C22×C59#57711yescharacteristic
323C4×C59—22no—
324C4×C59—22no—
325C4×C59—41no—
326C4×C59—42no—
327C4×C59—41no—
328C4×C59—41no—
329C4×C59—81no—
330C4×C59—81no—
331C4×C59C2×#11711yescharacteristic
332C4×C59#51811yescharacteristic
333C4×C59#55111yescharacteristic
334C4×C59#55111yescharacteristic
335Dic59—42no—
336Dic59—42no—
337Dic59—81no—
338Dic59—81no—
339C2×#417—591no—
340#2345—591no—
341#2339D5911yescharacteristic
342#1935—591no—
343#1933—591no—
344#1928—591no—
345#1927—591no—
346#1864—591no—
347#1862—591no—
348#1823—591no—
349#1809—591no—
350#1788—591no—
351#1762—591no—
352C4×#102—591no—
353#1753—591no—
354C2×C59—42no—
355C2×C59—44no—
356C2×C59#234211yescharacteristic
357C2×C59C4×#13711yescharacteristic
358C2×C59#294611yescharacteristic
359C2×C59#330711yescharacteristic
360C2×C59#331411yescharacteristic
361C2×C59#332211yescharacteristic
362C2×C59#333111yescharacteristic
363C22×#41C2×D5911yescharacteristic
364C22×M16—591no—
365C2×C4×D4C2×D5911yescharacteristic
366C2×C4×D4C2×D5911yescharacteristic
367C22×C4⋊C4—591no—
368C2×#107—591no—
369C2×#106—591no—
370#417—598no—
371C2×#103—591no—
372C2×#103—591no—
373C2×#103—591no—
374C2×#103—591no—
375C2×#102—591no—
376C2×#102—591no—
377C2×#102—591no—
378C2×#102—591no—
379C2×C22⋊C8—591no—
380C2×#97—591no—
381C2×C4×C8—591no—
382#391C2×D5911yescharacteristic
383#391C2×D5911yescharacteristic
384#389—591no—
385#389—591no—
386#387—1181no—
387#387—1181no—
388#386—21no—
389#386—21no—
390#381—21no—
391#380—591no—
392#380—1181no—
393#380C2×D5911yescharacteristic
394C4×C4⋊C4—591no—
395C4×C4⋊C4—591no—
396C4×C22⋊C4—1181no—
397C4×C22⋊C4C2×D5911yescharacteristic
398C2×#95—21no—
399#340—591no—
400#340—591no—
401#340—591no—
402#340—591no—
403#340—591no—
404#340—591no—
405#336—591no—
406#336—591no—
407C59#2257811yescharacteristic, complemented, Sylow
408C2×#41—22no—
409C2×#41—22no—
410C2×#41—22no—
411C2×#41—41no—
412C2×#41—41no—
413C2×#41C4×D5914yes—
414C22×Q8C22×D5911yescharacteristic
415C22×D4—21no—
416C22×D4C22×D5911yescharacteristic
417C23×C4—21no—
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—1181no—
421C23×C4C22×D5911yescharacteristic
422C2×M16—594no—
423C2×M16—2361no—
424C2×M16—2361no—
425C22×C8—591no—
426C22×C8—591no—
427C22×C8—591no—
428C22×C8—591no—
429C4×D4—22no—
430C4×D4—22no—
431C4×D4—41no—
432C4×D4—41no—
433C2×C4⋊C4—594no—
434C2×C4⋊C4—591no—
435C2×C4⋊C4—591no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—1182no—
439C2×C4⋊C4—1181no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4—1181no—
442C2×C4⋊C4C22×D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—1181no—
448C2×C22⋊C4C22⋊D5911yescharacteristic
449C2×C22⋊C4C22⋊D5911yescharacteristic
450C2×C42—1181no—
451C2×C42—1181no—
452C2×C42C22×D5911yescharacteristic
453C2×C42C22×D5911yescharacteristic
454#107—2361no—
455#106—2361no—
456#103—594no—
457#103—594no—
458#103—2361no—
459#103—2361no—
460#102—594no—
461#102—594no—
462#102—1182no—
463#102—1182no—
464C22⋊C8—1182no—
465#97—2361no—
466C4×C8—2361no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—1181no—
473#95—1181no—
474#95—1181no—
475#95—1181no—
476#95—1181no—
477#95C22⋊D5911yescharacteristic
478#95C22⋊D5911yescharacteristic
479C24—21no—
480C24C2×C22⋊D5911yescharacteristic
481#41—28no—
482#41—44no—
483#41—44no—
484#41—44no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8C2×C4×D5912yes—
491C2×D4—24no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4C2×C4×D5912yes—
498C2×D4#1174568712yes—
499C2×D4#1174568712yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—24no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—81no—
515C22×C4—81no—
516C22×C4—1184no—
517C22×C4—1181no—
518C22×C4—1181no—
519C22×C4—1181no—
520C22×C4—1181no—
521C22×C4—4721no—
522C22×C4—4721no—
523C22×C4C2×C4×D5912yes—
524C22×C4#1174568512yes—
525C22×C4C2×C22⋊D5911yescharacteristic
526C22×C4C2×C22⋊D5911yescharacteristic
527C22×C4C2×C22⋊D5911yescharacteristic
528C22×C4C2×C22⋊D5911yescharacteristic
529C22×C4C2×C22⋊D5911yescharacteristic
530C22×C4C23×D5911yescharacteristic
531M16—2364no—
532C2×C8—592no—
533C2×C8—592no—
534C2×C8—1181no—
535C2×C8—1181no—
536C2×C8—1181no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8—1181no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—592no—
549C4⋊C4—592no—
550C4⋊C4—1184no—
551C4⋊C4—1181no—
552C4⋊C4—1181no—
553C4⋊C4—1181no—
554C4⋊C4—1181no—
555C4⋊C4—1181no—
556C4⋊C4—1181no—
557C4⋊C4—4721no—
558C4⋊C4—4721no—
559C22⋊C4—22no—
560C22⋊C4—41no—
561C22⋊C4—42no—
562C22⋊C4—42no—
563C22⋊C4—81no—
564C22⋊C4—2362no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—21no—
569C42—4721no—
570C42—4721no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—22no—
576C23—22no—
577C23—21no—
578C23—21no—
579C23—22no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23C4×C22⋊D5912yes—
585C23C22×C22⋊D5911yescharacteristic
586Q8—22no—
587Q8—22no—
588Q8—41no—
589Q8—41no—
590D4—22no—
591D4—22no—
592D4—22no—
593D4—48no—
594D4#1427368314yes—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—48no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—84no—
623C2×C4—84no—
624C2×C4—1182no—
625C2×C4—1182no—
626C2×C4—4724no—
627C2×C4—2361no—
628C2×C4—2361no—
629C2×C4—2361no—
630C2×C4—2361no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4C4×C22⋊D5912yes—
638C2×C4#1427375712yes—
639C2×C4C22×C4×D5911yescharacteristic
640C2×C4C2×#1174568711yescharacteristic
641C2×C4C2×#1174568711yescharacteristic
642C2×C4C2×#1174568511yescharacteristic
643C2×C4#1427377211yescharacteristic
644C2×C4#1427377211yescharacteristic
645C8—1182no—
646C8—1182no—
647C8—2361no—
648C8—2361no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—24no—
653C22—42no—
654C22—41no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—41no—
659C22—41no—
660C22—42no—
661C22—41no—
662C22—42no—
663C22C2×C4×C22⋊D5911yescharacteristic
664C22#1683804611yescharacteristic
665C22#1683804611yescharacteristic
666C22C2×#1427375711yescharacteristic
667C22#1683820011yescharacteristic
668C22#1683820511yescharacteristic
669C22#1683821011yescharacteristic
670C4—22no—
671C4—22no—
672C4—41no—
673C4—41no—
674C4—41no—
675C4—42no—
676C4—81no—
677C4—81no—
678C4—4721no—
679C4—4721no—
680C4—2362no—
681C4—2362no—
682C4C2×#1427368311yescharacteristic
683C4#1683787511yescharacteristic
684C4#1683807811yescharacteristic
685C4#1683807811yescharacteristic
686C2—42no—
687C2—44no—
688C2#2142694111yescharacteristic
689C2C4×#1427375711yescharacteristic
690C2#2143292411yescharacteristic
691C2#2143607211yescharacteristic
692C2#2143617711yescharacteristic
693C2#2143629711yescharacteristic
694C2#2143641211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2339C2
socleC23×C59C22×D4
prime radicalC22×#41×C59C22
cosocleC22×C4×C59C24
hypercenter#2339D59
hypocenterC59#22578
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #21426971C2semidirect
3. #21424789C2semidirect
4. #21424775C2semidirect
5. #21424734C2semidirect
6. #21424727C2semidirect
7. #21424357C2semidirect
8. #21424343C2semidirect
9. #21424180C2semidirect
10. #21424127C2semidirect
12. #21423921C2semidirect
13. C4×#14273648C2semidirect
14. #21423880C2semidirect
20. #16837403C4semidirect
63. C2×#11745664C2×C4semidirect
70. C2×C4⋊Dic59C2×C4semidirect
84. #14273651C2×C4semidirect
85. #14273651C2×C4semidirect
407. C59#22578semidirect

Maximal subgroups

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

subgroupindex
C2×#168374032
#214269712
#214247892
#214247752
#214247342
#214247272
#214243572
#214243432
#214241802
#214241272
#214240362
#214239212
C4×#142736482
#214238802
C59×#23392
#2257859