Finite Group Databasebeta

← #28648632

Subgroups — #28648632

Order 15104.

896 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837723C211yesmaximal, characteristic, complemented
2C2×#16837445C211yesmaximal, characteristic, complemented
3#21427025C211yesmaximal, characteristic, complemented
4#21425617C211yesmaximal, characteristic, complemented
5#21425577C211yesmaximal, characteristic, complemented
6#21425532C211yesmaximal, characteristic, complemented
7#21425275C211yesmaximal, characteristic, complemented
8#21424720C211yesmaximal, characteristic, complemented
9#21424664C211yesmaximal, characteristic, complemented
10#21424535C211yesmaximal, characteristic, complemented
11#21424414C211yesmaximal, characteristic, complemented
12#21424394C211yesmaximal, characteristic, complemented
13#21424295C211yesmaximal, characteristic, complemented
14#21424293C211yesmaximal, characteristic, complemented
15C59×#2414C211yesmaximal, characteristic
16C22×#11745664C2211yescharacteristic
17C2×#14273686C2211yescharacteristic
18C22×C4⋊Dic59C2211yescharacteristic
19#16837723—24no—
20#16837445—24no—
21C2×#14273660C2211yescharacteristic
22C2×#14273660C2211yescharacteristic
23C2×#14273660C2211yescharacteristic
24C2×#14273658C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×#14273658C2211yescharacteristic
27C2×#14273648C2211yescharacteristic
28C2×#14273648C2211yescharacteristic
29C2×#14273648C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×C22⋊(C59⋊C8)C2211yescharacteristic
32C2×C22⋊(C59⋊C8)C2211yescharacteristic
33C2×C22⋊(C59⋊C8)C2211yescharacteristic
34#16837295—21no—
35#16837288—21no—
36#16837282—21no—
37#16837268C2211yescharacteristic
38#16837262C2211yescharacteristic
39#16837262C2211yescharacteristic
40C4×C4⋊Dic59C2211yescharacteristic
41C22⋊C4×Dic59—21no—
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837157C2211yescharacteristic
50C2×#121×C59C2211yescharacteristic
51C2×#121×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C2×#117×C59C2211yescharacteristic
54C59×#394—21no—
55C59×#392—21no—
56C59×#390—21no—
57C59×#390C2211yescharacteristic
58C59×#389C2211yescharacteristic
59C59×#388—21no—
60C59×#380C2211yescharacteristic
61C23×Dic59—21no—
62C2×#11745664—22no—
63C2×#11745664—22no—
64C2×#11745664—22no—
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68C22×C59⋊C8C2311yescharacteristic
69#14273686—22no—
70#14273686—41no—
71C2×C4⋊Dic59—22no—
72C2×C4⋊Dic59—21no—
73C2×C4⋊Dic59—41no—
74C2×C4⋊Dic59C2311yescharacteristic
75C2×C4⋊Dic59C2311yescharacteristic
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C22⋊Dic59—21no—
79C2×C22⋊Dic59—21no—
80C2×C22⋊Dic59—21no—
81C2×C4×Dic59—21no—
82C2×C4×Dic59—21no—
83#14273660—22no—
84#14273660—41no—
85#14273660D414yescomplemented
86#14273658—22no—
87#14273658—22no—
88#14273658—22no—
89#14273648—22no—
90#14273648—22no—
91#14273648—22no—
92#14273648—41no—
93C22⋊(C59⋊C8)—22no—
94C22⋊(C59⋊C8)—22no—
95C22⋊(C59⋊C8)—22no—
96C59⋊#95—21no—
97C59⋊#95—21no—
98C59⋊#95—21no—
99C59⋊#95—21no—
100C59⋊#95—21no—
101C22×D4×C59—21no—
102C22×D4×C59—21no—
103C22×D4×C59D411yescharacteristic
104C22×D4×C59C2311yescharacteristic
105C23×C4×C59C2311yescharacteristic
106C23×C4×C59C2311yescharacteristic
107#121×C59—22no—
108#121×C59—22no—
109#121×C59—22no—
110#121×C59—41no—
111C4×D4×C59—22no—
112C4×D4×C59—22no—
113#117×C59—22no—
114#117×C59—41no—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59D411yescharacteristic
117C2×C4⋊C4×C59C2311yescharacteristic
118C2×C4⋊C4×C59C2311yescharacteristic
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C22⋊C4×C59—21no—
121C2×C22⋊C4×C59—21no—
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59D411yescharacteristic
127C2×C22⋊C4×C59D411yescharacteristic
128C2×C42×C59—21no—
129C2×C42×C59C2311yescharacteristic
130#95×C59—21no—
131#95×C59—21no—
132C24×C59—21no—
133C24×C59C2×D411yescharacteristic
134C24×C59C2×D411yescharacteristic
135C2×D4×C59—22no—
136C2×D4×C59—21no—
137C2×D4×C59—21no—
138C2×D4×C59—21no—
139C2×D4×C59—21no—
140C2×D4×C59—21no—
141C2×D4×C59—21no—
142C2×D4×C59—41no—
143C2×D4×C59—41no—
144C2×D4×C59—42no—
145C2×D4×C59—42no—
146C2×D4×C59—42no—
147C2×D4×C59—81no—
148C2×D4×C59—81no—
149C2×D4×C59—81no—
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×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
162C22×C4×C59—21no—
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59C2×D411yescharacteristic
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59#4112yes—
168C22×C4×C59#4112yes—
169C22×C4×C59C2411yescharacteristic
170C22×Dic59—21no—
171C22×Dic59—21no—
172C22×Dic59—21no—
173C22×Dic59—21no—
174C22×Dic59—42no—
175C22×Dic59—42no—
176C22×Dic59—81no—
177C4⋊C4×C59—22no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—81no—
184C4⋊C4×C59C2×D412yes—
185C22⋊C4×C59—22no—
186C22⋊C4×C59—22no—
187C22⋊C4×C59—42no—
188C22⋊C4×C59—42no—
189C22⋊C4×C59—42no—
190C22⋊C4×C59—42no—
191C22⋊C4×C59—81no—
192C22⋊C4×C59—81no—
193C42×C59—21no—
194C42×C59—21no—
195C42×C59—42no—
196C22⋊Dic59—42no—
197C22⋊Dic59—42no—
198C22⋊Dic59—81no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—42no—
207C4⋊Dic59C2×D412yes—
208C4×Dic59—42no—
209C4×Dic59—81no—
210#11745664—28no—
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⋊C8C2×D412yes—
222C2×C59⋊C8#4112yes—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59—21no—
233C23×C59—21no—
234C23×C59—21no—
235C23×C59—21no—
236C23×C59—41no—
237C23×C59—41no—
238C23×C59—41no—
239C23×C59—41no—
240C23×C59—41no—
241C23×C59—41no—
242C23×C59—41no—
243C23×C59#12312yes—
244C23×C59C22×D411yescharacteristic
245D4×C59—44no—
246D4×C59—41no—
247D4×C59—41no—
248D4×C59—41no—
249D4×C59—41no—
250D4×C59—84no—
251D4×C59—84no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—22no—
255C2×C4×C59—22no—
256C2×C4×C59—22no—
257C2×C4×C59—22no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—22no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
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—41no—
275C2×C4×C59—41no—
276C2×C4×C59—41no—
277C2×C4×C59—41no—
278C2×C4×C59—41no—
279C2×C4×C59—41no—
280C2×C4×C59#12312yes—
281C2×C4×C59C22×D411yescharacteristic
282C2×C4×C59C2×#4111yescharacteristic
283C2×C4×C59C2×#4111yescharacteristic
284C2×C4×C59C2×#4111yescharacteristic
285C2×C4×C59H(5,𝔽2)11yescharacteristic
286C2×C4×C592−1+411yescharacteristic
287C2×Dic59—22no—
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—41no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299C2×Dic59—84no—
300C59⋊C8—22no—
301C59⋊C8—22no—
302C59⋊C8—41no—
303C59⋊C8—41no—
304#26156—591nomaximal, Sylow
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—22no—
308C22×C59—41no—
309C22×C59—41no—
310C22×C59—41no—
311C22×C59—41no—
312C22×C59—41no—
313C22×C59—41no—
314C22×C59—41no—
315C22×C59—41no—
316C22×C59—41no—
317C22×C59—41no—
318C22×C59—41no—
319C22×C59—81no—
320C22×C59—81no—
321C22×C59—81no—
322C22×C59—81no—
323C22×C59—81no—
324C22×C59—81no—
325C22×C59—81no—
326C22×C59C2×#12311yescharacteristic
327C22×C59D4211yescharacteristic
328C22×C59#54711yescharacteristic
329C22×C59#57511yescharacteristic
330C22×C59#57511yescharacteristic
331C22×C59#57611yescharacteristic
332C22×C59#57711yescharacteristic
333C4×C59—22no—
334C4×C59—41no—
335C4×C59—41no—
336C4×C59—41no—
337C4×C59—42no—
338C4×C59—81no—
339C4×C59—81no—
340C4×C59#52511yescharacteristic
341C4×C59#53911yescharacteristic
342C4×C59#54811yescharacteristic
343C4×C59#55311yescharacteristic
344Dic59—42no—
345Dic59—81no—
346Dic59—81no—
347Dic59—81no—
348C2×#482—591no—
349C2×#428—591no—
350#2414D5911yescharacteristic
351#2352—591no—
352#2092—591no—
353#2085—591no—
354#2077—591no—
355#2033—591no—
356#1926—591no—
357#1918—591no—
358#1895—591no—
359#1874—591no—
360#1870—591no—
361#1854—591no—
362#1854—591no—
363C2×C59—42no—
364C2×C59—81no—
365C2×C59—161no—
366C2×C59#244311yescharacteristic
367C2×C59#309311yescharacteristic
368C2×C59#309611yescharacteristic
369C2×C59#327111yescharacteristic
370C2×C59#327311yescharacteristic
371C2×C59#334711yescharacteristic
372C2×C59#335111yescharacteristic
373C22×M16—591no—
374C2×#121C2×D5911yescharacteristic
375C2×#121C2×D5911yescharacteristic
376C2×C4×D4C2×D5911yescharacteristic
377C2×#117—591no—
378C2×#117C2×D5911yescharacteristic
379C22×C4⋊C4—591no—
380#482—1184no—
381#428—1184no—
382C2×#107—591no—
383C2×#107—591no—
384C2×#107—591no—
385C2×#106—591no—
386C2×#106—591no—
387C2×#106—591no—
388C2×#102—591no—
389C2×#102—591no—
390C2×#102—591no—
391C2×#102—591no—
392C2×C22⋊C8—591no—
393C2×C22⋊C8—591no—
394C2×C22⋊C8—591no—
395#394—21no—
396#392—21no—
397#390—21no—
398#390C2×D5911yescharacteristic
399#389C2×D5911yescharacteristic
400#388—21no—
401#388—1181no—
402#387—1181no—
403#386—1181no—
404#382—591no—
405#380—591no—
406#380—591no—
407#380C2×D5911yescharacteristic
408C4×C4⋊C4—591no—
409C4×C22⋊C4—1181no—
410#340—591no—
411#340—591no—
412#340—591no—
413#340—591no—
414#340—591no—
415#340—591no—
416#336—591no—
417#336—591no—
418C59#2615611yescharacteristic, complemented, Sylow
419C22×D4—21no—
420C22×D4—21no—
421C22×D4C22⋊D5911yescharacteristic
422C22×D4C22×D5911yescharacteristic
423C23×C4—1181no—
424C23×C4C22×D5911yescharacteristic
425C23×C4C22×D5911yescharacteristic
426C2×M16—1182no—
427C2×M16—1182no—
428C2×M16—1182no—
429C22×C8—591no—
430C22×C8—591no—
431C22×C8—591no—
432C22×C8—591no—
433#121—22no—
434#121—22no—
435#121—22no—
436#121—41no—
437C4×D4—22no—
438C4×D4—22no—
439#117—22no—
440#117—41no—
441#117—1182no—
442#117—2361no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—591no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—591no—
447C2×C4⋊C4—591no—
448C2×C4⋊C4—1182no—
449C2×C4⋊C4—1181no—
450C2×C4⋊C4—2361no—
451C2×C4⋊C4C22⋊D5911yescharacteristic
452C2×C4⋊C4C22×D5911yescharacteristic
453C2×C4⋊C4C22×D5911yescharacteristic
454C2×C4⋊C4C22×D5911yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—1181no—
462C2×C22⋊C4—1181no—
463C2×C22⋊C4—1181no—
464C2×C22⋊C4C22⋊D5911yescharacteristic
465C2×C22⋊C4C22⋊D5911yescharacteristic
466C2×C42—21no—
467C2×C42—1181no—
468C2×C42—1181no—
469C2×C42C22×D5911yescharacteristic
470#107—594no—
471#107—1182no—
472#107—2361no—
473#106—1182no—
474#106—1182no—
475#106—1182no—
476#102—1182no—
477#102—1182no—
478#102—1182no—
479#102—2361no—
480C22⋊C8—1182no—
481C22⋊C8—1182no—
482C22⋊C8—1182no—
483#95—21no—
484#95—21no—
485#95—1181no—
486#95—1181no—
487#95—1181no—
488#95—1181no—
489#95—1181no—
490C24—21no—
491C24C2×C22⋊D5911yescharacteristic
492C24C2×C22⋊D5911yescharacteristic
493C2×D4—22no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—81no—
506C2×D4—81no—
507C2×D4—81no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—1181no—
522C22×C4—1181no—
523C22×C4—1181no—
524C22×C4—1181no—
525C22×C4—4721no—
526C22×C4—2362no—
527C22×C4—2362no—
528C22×C4#1174568712yes—
529C22×C4#1174568712yes—
530C22×C4C2×C22⋊D5911yescharacteristic
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C2×C22⋊D5911yescharacteristic
533C22×C4C2×C22⋊D5911yescharacteristic
534C22×C4C23×D5911yescharacteristic
535M16—1188no—
536C2×C8—592no—
537C2×C8—592no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8—1181no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—1181no—
547C2×C8—1181no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—81no—
555C4⋊C4—592no—
556C4⋊C4—1181no—
557C4⋊C4—1181no—
558C4⋊C4—1181no—
559C4⋊C4—1181no—
560C4⋊C4—1181no—
561C4⋊C4—1181no—
562C4⋊C4—1181no—
563C4⋊C4—2362no—
564C4⋊C4D4×D5912yes—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—81no—
572C22⋊C4—81no—
573C22⋊C4—4721no—
574C22⋊C4—2362no—
575C22⋊C4—2362no—
576C42—21no—
577C42—21no—
578C42—42no—
579C42—4721no—
580C42—2362no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23#1427370812yes—
602C23C22×C22⋊D5911yescharacteristic
603D4—44no—
604D4—41no—
605D4—41no—
606D4—41no—
607D4—41no—
608D4—84no—
609D4—84no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—1182no—
639C2×C4—4724no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4—2361no—
643C2×C4—2361no—
644C2×C4—2361no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4—2361no—
650C2×C4—2361no—
651C2×C4#1427370812yes—
652C2×C4C2×D4×D5911yescharacteristic
653C2×C4#41×D5911yescharacteristic
654C2×C4C2×#1174568711yescharacteristic
655C2×C4C2×#1174568711yescharacteristic
656C2×C4#1427377211yescharacteristic
657C2×C4#1427377411yescharacteristic
658C8—1182no—
659C8—1182no—
660C8—2361no—
661C8—2361no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22C2×#1427370811yescharacteristic
684C22D4×C22⋊D5911yescharacteristic
685C22#1683805111yescharacteristic
686C22#1683820011yescharacteristic
687C22#1683820011yescharacteristic
688C22#1683820511yescharacteristic
689C22#1683821311yescharacteristic
690C4—22no—
691C4—42no—
692C4—41no—
693C4—41no—
694C4—41no—
695C4—81no—
696C4—81no—
697C4—4721no—
698C4—4721no—
699C4—4721no—
700C4—2362no—
701C4#1683791211yescharacteristic
702C4#1683799711yescharacteristic
703C4#1683805811yescharacteristic
704C4#1683809511yescharacteristic
705C2—42no—
706C2—81no—
707C2—161no—
708C2#2142782711yescharacteristic
709C2#2143402511yescharacteristic
710C2#2143404811yescharacteristic
711C2#2143567711yescharacteristic
712C2#2143570311yescharacteristic
713C2#2143659611yescharacteristic
714C2#2143665011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
Fitting, prime radicalC59×#2414C2
socleC23×C59C22×D4
hypercenter#2414D59
hypocenterC59#26156
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2414

Complements

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

NH ≅ G/Ntype
1. C2×#16837723C2semidirect
2. C2×#16837445C2semidirect
3. #21427025C2semidirect
4. #21425617C2semidirect
5. #21425577C2semidirect
6. #21425532C2semidirect
7. #21425275C2semidirect
8. #21424720C2semidirect
9. #21424664C2semidirect
10. #21424535C2semidirect
11. #21424414C2semidirect
12. #21424394C2semidirect
13. #21424295C2semidirect
14. #21424293C2semidirect
85. #14273660D4semidirect
418. C59#26156semidirect

Maximal subgroups

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

subgroupindex
C2×#168377232
C2×#168374452
#214270252
#214256172
#214255772
#214255322
#214252752
#214247202
#214246642
#214245352
#214244142
#214243942
#214242952
#214242932
C59×#24142
#2615659