Finite Group Databasebeta

← #28627564

Subgroups — #28627564

Order 15104.

938 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837541C211yesmaximal, characteristic
2C2×#16837463C211yesmaximal, characteristic, complemented
3#21429885C211yesmaximal, characteristic
4#21425491C211yesmaximal, characteristic, complemented
5#21425477C211yesmaximal, characteristic, complemented
6#21425411C211yesmaximal, characteristic, complemented
7#21425411C211yesmaximal, characteristic, complemented
8#21424980C211yesmaximal, characteristic, complemented
9#21424953C211yesmaximal, characteristic, complemented
10#21424789C211yesmaximal, characteristic, complemented
11#21424775C211yesmaximal, characteristic, complemented
12#21424418C211yesmaximal, characteristic
13#21424295C211yesmaximal, characteristic, complemented
14#21424031C211yesmaximal, characteristic, complemented
15C59×#2310C211yesmaximal, characteristic, complemented
16C22×#11745671C2211yescharacteristic
17C22×#11745671C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19#16837541—24no—
20#16837463—24no—
21C2×#14273660C2211yescharacteristic
22C2×#14273658C2211yescharacteristic
23C2×C4⋊(C59⋊C8)C2211yescharacteristic
24C2×C4⋊(C59⋊C8)C2211yescharacteristic
25C2×#14273651C2211yescharacteristic
26C2×#14273651C2211yescharacteristic
27C2×#14273651C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273651C2211yescharacteristic
31C2×#14273647C2211yescharacteristic
32C2×#14273647C2211yescharacteristic
33C2×C22⋊(C59⋊C8)C2211yescharacteristic
34C2×C22⋊(C59⋊C8)C2211yescharacteristic
35C2×#14273638C2211yescharacteristic
36C2×C4×C59⋊C8C2211yescharacteristic
37#16837337—21no—
38#16837328—21no—
39#16837317—21no—
40#16837317—21no—
41#16837304C2211yescharacteristic
42#16837304C2211yescharacteristic
43#16837300C2211yescharacteristic
44#16837300C2211yescharacteristic
45#16837262C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50C23×Q8×C59C2211yescharacteristic
51C2×#117×C59C2211yescharacteristic
52C2×#117×C59C2211yescharacteristic
53C59×#391—21no—
54C59×#391—21no—
55C59×#391C2211yescharacteristic
56C59×#391C2211yescharacteristic
57C59×#391C2211yescharacteristic
58C59×#391C2211yescharacteristic
59C59×#381—21no—
60C59×#381—21no—
61C22×D236C2311yescharacteristic
62C22×C22⋊D59—21no—
63C2×#11745671—22no—
64C2×#11745671—22no—
65C2×#11745671—22no—
66C2×#11745671—22no—
67C2×#11745671—41no—
68C2×#11745671—41no—
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73#14273701—22no—
74#14273701—22no—
75C2×C4⋊Dic59C2311yescharacteristic
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×Dic59⋊C4—21no—
79C2×Dic59⋊C4—21no—
80C2×C22⋊Dic59—21no—
81C2×(C2×D59)⋊C4—21no—
82C2×(C2×D59)⋊C4—21no—
83C2×(C2×D59)⋊C4—21no—
84C2×(C2×D59)⋊C4—21no—
85C2×(C2×D59)⋊C4—21no—
86#14273660—41no—
87#14273658—41no—
88C4⋊(C59⋊C8)—22no—
89C4⋊(C59⋊C8)—22no—
90#14273651—22no—
91#14273651—22no—
92#14273651—22no—
93#14273651—22no—
94#14273651—41no—
95#14273651—41no—
96#14273647—41no—
97#14273647—41no—
98C22⋊(C59⋊C8)—22no—
99C22⋊(C59⋊C8)D414yes—
100#14273638—22no—
101C4×C59⋊C8—22no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C22×Q8×C59—22no—
106C22×Q8×C59—22no—
107C22×Q8×C59—21no—
108C22×Q8×C59—22no—
109C22×Q8×C59—22no—
110C22×Q8×C59—41no—
111C22×Q8×C59—41no—
112C22×Q8×C59C2311yescharacteristic
113C22×Q8×C59C2311yescharacteristic
114C23×C4×C59—21no—
115C23×C4×C59C2311yescharacteristic
116#117×C59—22no—
117#117×C59—22no—
118#117×C59—41no—
119#117×C59—41no—
120C2×C4⋊C4×C59D411yescharacteristic
121C2×C4⋊C4×C59D411yescharacteristic
122C2×C4⋊C4×C59C2311yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59D411yescharacteristic
126C2×C22⋊C4×C59D411yescharacteristic
127C2×C42×C59—21no—
128C2×C42×C59C2311yescharacteristic
129C2×C42×C59C2311yescharacteristic
130#95×C59—21no—
131#95×C59—21no—
132#95×C59—21no—
133#95×C59—21no—
134#95×C59—21no—
135#95×C59—21no—
136#95×C59—21no—
137#95×C59—21no—
138C24×C59C2×D411yescharacteristic
139C23×D59—21no—
140C2×Q8×C59—24no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59—21no—
144C2×Q8×C59—21no—
145C2×Q8×C59—21no—
146C2×Q8×C59—21no—
147C2×Q8×C59—21no—
148C2×Q8×C59—21no—
149C2×Q8×C59—21no—
150C2×Q8×C59—21no—
151C2×Q8×C59—44no—
152C2×Q8×C59—44no—
153C2×Q8×C59—44no—
154C2×Q8×C59—44no—
155C2×Q8×C59—42no—
156C2×Q8×C59—42no—
157C2×Q8×C59#4112yes—
158C2×Q8×C59#4112yes—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
162C22×C4×C59—21no—
163C22×C4×C59—24no—
164C22×C4×C59—21no—
165C22×C4×C59—21no—
166C22×C4×C59—21no—
167C22×C4×C59—21no—
168C22×C4×C59—42no—
169C22×C4×C59—42no—
170C22×C4×C59C2×D411yescharacteristic
171C22×C4×C59C2×D411yescharacteristic
172C22×C4×C59C2×D411yescharacteristic
173C22×C4×C59C2×D411yescharacteristic
174C22×C4×C59C2×D411yescharacteristic
175C22×C4×C59C2×D412yes—
176C22×C4×C59#4112yes—
177C22×C4×C59C2411yescharacteristic
178C2×C22⋊D59—42no—
179C2×C22⋊D59—81no—
180C2×C22⋊D59—81no—
181C22×Dic59—21no—
182C22×Dic59—21no—
183C22×Dic59—21no—
184C2×D236—21no—
185C2×D236—21no—
186C2×D236—21no—
187C2×D236—21no—
188C2×D236—21no—
189C2×D236—21no—
190C4⋊C4×C59—22no—
191C4⋊C4×C59—22no—
192C4⋊C4×C59—21no—
193C4⋊C4×C59—21no—
194C4⋊C4×C59—21no—
195C4⋊C4×C59—21no—
196C22⋊C4×C59—22no—
197C22⋊C4×C59—22no—
198C22⋊C4×C59—42no—
199C42×C59—21no—
200C42×C59—21no—
201C42×C59—21no—
202C42×C59—21no—
203C42×C59—42no—
204C22⋊Dic59—81no—
205#11745671—44no—
206#11745671—44no—
207(C2×D59)⋊C4—42no—
208(C2×D59)⋊C4—81no—
209(C2×D59)⋊C4—81no—
210(C2×D59)⋊C4—81no—
211(C2×D59)⋊C4—81no—
212C4⋊Dic59—21no—
213C4⋊Dic59—21no—
214C4⋊Dic59—21no—
215C4⋊Dic59—21no—
216C4⋊Dic59—21no—
217C4⋊Dic59—21no—
218Dic59⋊C4—81no—
219Dic59⋊C4—81no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8—21no—
227C2×C59⋊C8—21no—
228C2×C59⋊C8—21no—
229C2×C59⋊C8—21no—
230C2×C59⋊C8C2×D412yes—
231C2×C59⋊C8C2×D412yes—
232C23×C59—21no—
233C23×C59—21no—
234C23×C59—21no—
235C23×C59—21no—
236C23×C59—21no—
237C23×C59—21no—
238C23×C59#12112yes—
239C23×C59C22×D411yescharacteristic
240C22×D59—41no—
241C22×D59—41no—
242C22×D59—41no—
243C22×D59—41no—
244C22×D59—41no—
245C22×D59—41no—
246C22×D59—41no—
247Q8×C59—22no—
248Q8×C59—22no—
249Q8×C59—22no—
250Q8×C59—22no—
251Q8×C59—48no—
252Q8×C59—41no—
253Q8×C59—41no—
254Q8×C59—41no—
255Q8×C59—41no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—22no—
259C2×C4×C59—22no—
260C2×C4×C59—22no—
261C2×C4×C59—22no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—22no—
267C2×C4×C59—22no—
268C2×C4×C59—21no—
269C2×C4×C59—21no—
270C2×C4×C59—21no—
271C2×C4×C59—21no—
272C2×C4×C59—21no—
273C2×C4×C59—21no—
274C2×C4×C59—21no—
275C2×C4×C59—21no—
276C2×C4×C59—48no—
277C2×C4×C59—41no—
278C2×C4×C59—41no—
279C2×C4×C59—41no—
280C2×C4×C59—41no—
281C2×C4×C59—41no—
282C2×C4×C59—41no—
283C2×C4×C59—41no—
284C2×C4×C59—41no—
285C2×C4×C59—41no—
286C2×C4×C59—41no—
287C2×C4×C59#12112yes—
288C2×C4×C59C22×D411yescharacteristic
289C2×C4×C59C2×#4111yescharacteristic
290C2×C4×C59C2×#4111yescharacteristic
291C2×C4×C59C2×#4111yescharacteristic
292C2×C4×C59H(5,𝔽2)11yescharacteristic
293C2×C4×C59H(5,𝔽2)11yescharacteristic
294C22⋊D59—84no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299C2×Dic59—41no—
300C2×Dic59—41no—
301C2×Dic59—41no—
302C2×Dic59—41no—
303C2×Dic59—41no—
304D236—41no—
305D236—41no—
306D236—41no—
307D236—41no—
308C59⋊C8—22no—
309C59⋊C8—22no—
310C59⋊C8—41no—
311C59⋊C8—41no—
312#24518—591nomaximal, Sylow
313C22×C59—22no—
314C22×C59—22no—
315C22×C59—22no—
316C22×C59—41no—
317C22×C59—41no—
318C22×C59—41no—
319C22×C59—41no—
320C22×C59C2×#12111yescharacteristic
321C22×C59#52511yescharacteristic
322C22×C59#53511yescharacteristic
323C22×C59#57711yescharacteristic
324C22×C59#57711yescharacteristic
325C22×C59#57711yescharacteristic
326C22×C59#57811yescharacteristic
327C2×D59—81no—
328C2×D59—81no—
329C2×D59—81no—
330C2×D59—81no—
331C2×D59—81no—
332C2×D59—81no—
333C2×D59—81no—
334C4×C59—22no—
335C4×C59—42no—
336C4×C59—42no—
337C4×C59—41no—
338C4×C59—41no—
339C4×C59—41no—
340C4×C59—41no—
341C4×C59—81no—
342C4×C59—81no—
343C4×C59#54611yescharacteristic
344C4×C59#54611yescharacteristic
345C4×C59#55111yescharacteristic
346C4×C59#55111yescharacteristic
347Dic59—81no—
348Dic59—81no—
349Dic59—81no—
350C2×#448—591no—
351C2×#433—591no—
352#2624—591no—
353#2310D5911yescharacteristic, complemented
354#2068—591no—
355#2066—591no—
356#2055—591no—
357#2055—591no—
358#1973—591no—
359#1968—591no—
360#1935—591no—
361#1933—591no—
362#1875—591no—
363#1854—591no—
364#1787—591no—
365C2×C59—42no—
366C2×C59#241111yescharacteristic
367C2×C59#305711yescharacteristic
368C2×C59#306311yescharacteristic
369C2×C59#312111yescharacteristic
370C2×C59#312611yescharacteristic
371C2×C59#322111yescharacteristic
372C2×C59#322511yescharacteristic
373D59—161no—
374C23×Q8C2×D5911yescharacteristic
375C22×SD16—591no—
376C22×SD16—591no—
377C2×#121—591no—
378C2×#117C2×D5911yescharacteristic
379C2×#117C2×D5911yescharacteristic
380#448—1184no—
381#433—1184no—
382C2×#107—591no—
383C2×#106—591no—
384C2×C4⋊C8—591no—
385C2×C4⋊C8—591no—
386C2×#103—591no—
387C2×#103—591no—
388C2×#103—591no—
389C2×#103—591no—
390C2×#103—591no—
391C2×#103—591no—
392C2×#102—591no—
393C2×#102—591no—
394C2×C22⋊C8—591no—
395C2×C22⋊C8—591no—
396C2×#97—591no—
397C2×C4×C8—591no—
398#399—1181no—
399#397—1181no—
400#394—1181no—
401#394—1181no—
402#391—21no—
403#391—21no—
404#391C2×D5911yescharacteristic
405#391C2×D5911yescharacteristic
406#391C2×D5911yescharacteristic
407#391C2×D5911yescharacteristic
408#390—591no—
409#390—591no—
410#389—591no—
411#389—591no—
412#381—21no—
413#381—21no—
414#380—591no—
415#340—591no—
416#340—591no—
417#340—591no—
418#340—591no—
419C59#2451811yescharacteristic, complemented, Sylow
420C22×Q8—22no—
421C22×Q8—22no—
422C22×Q8—21no—
423C22×Q8—22no—
424C22×Q8—22no—
425C22×Q8—41no—
426C22×Q8—41no—
427C22×Q8C22×D5911yescharacteristic
428C22×Q8C22×D5911yescharacteristic
429C22×D4—591no—
430C22×D4—1181no—
431C23×C4—21no—
432C23×C4C22×D5911yescharacteristic
433C2×SD16—1182no—
434C2×SD16—1182no—
435C2×SD16—1182no—
436C2×SD16—1182no—
437C2×SD16—2361no—
438C2×SD16—2361no—
439C22×C8—591no—
440C22×C8—591no—
441C22×C8—591no—
442C22×C8—591no—
443#121—1182no—
444#121—1182no—
445#117—22no—
446#117—22no—
447#117—41no—
448#117—41no—
449C2×C4⋊C4—591no—
450C2×C4⋊C4—591no—
451C2×C4⋊C4—591no—
452C2×C4⋊C4—1181no—
453C2×C4⋊C4—1181no—
454C2×C4⋊C4C22⋊D5911yescharacteristic
455C2×C4⋊C4C22⋊D5911yescharacteristic
456C2×C4⋊C4C22×D5911yescharacteristic
457C2×C4⋊C4C22×D5911yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1181no—
460C2×C22⋊C4—1181no—
461C2×C22⋊C4—1181no—
462C2×C22⋊C4—1181no—
463C2×C22⋊C4—1181no—
464C2×C22⋊C4—1181no—
465C2×C22⋊C4C22⋊D5911yescharacteristic
466C2×C22⋊C4C22⋊D5911yescharacteristic
467C2×C42—21no—
468C2×C42C22×D5911yescharacteristic
469C2×C42C22×D5911yescharacteristic
470#107—2361no—
471#106—2361no—
472C4⋊C8—1182no—
473C4⋊C8—1182no—
474#103—1182no—
475#103—1182no—
476#103—1182no—
477#103—1182no—
478#103—2361no—
479#103—2361no—
480#102—2361no—
481#102—2361no—
482C22⋊C8—594no—
483C22⋊C8—1182no—
484#97—1182no—
485C4×C8—1182no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—1181no—
495#95—1181no—
496#95—1181no—
497C24—1181no—
498C24C2×C22⋊D5911yescharacteristic
499C2×Q8—24no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—44no—
511C2×Q8—44no—
512C2×Q8—44no—
513C2×Q8—44no—
514C2×Q8—42no—
515C2×Q8—42no—
516C2×Q8#1174568512yes—
517C2×Q8#1174568512yes—
518C2×D4—1181no—
519C2×D4—1181no—
520C2×D4—1181no—
521C2×D4—1181no—
522C2×D4—1181no—
523C2×D4—1181no—
524C2×D4—4721no—
525C2×D4—4721no—
526C2×D4—2362no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—24no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—1181no—
539C22×C4—1181no—
540C22×C4—1181no—
541C22×C4D4×D5912yes—
542C22×C4#1174568712yes—
543C22×C4C2×C22⋊D5911yescharacteristic
544C22×C4C2×C22⋊D5911yescharacteristic
545C22×C4C2×C22⋊D5911yescharacteristic
546C22×C4C2×C22⋊D5911yescharacteristic
547C22×C4C2×C22⋊D5911yescharacteristic
548C22×C4C23×D5911yescharacteristic
549SD16—2364no—
550SD16—2364no—
551C2×C8—592no—
552C2×C8—592no—
553C2×C8—1181no—
554C2×C8—1181no—
555C2×C8—1181no—
556C2×C8—1181no—
557C2×C8—1181no—
558C2×C8—1181no—
559C2×C8—1181no—
560C2×C8—1181no—
561C2×C8—1181no—
562C2×C8—1181no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—1181no—
570C4⋊C4—1181no—
571C4⋊C4—1181no—
572C4⋊C4—1181no—
573C4⋊C4—1181no—
574C4⋊C4—1181no—
575C4⋊C4—4721no—
576C4⋊C4—4721no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—42no—
580C22⋊C4—4721no—
581C22⋊C4—4721no—
582C22⋊C4—4721no—
583C22⋊C4—4721no—
584C22⋊C4—4721no—
585C22⋊C4—2362no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—42no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—2361no—
598C23—2361no—
599C23—2361no—
600C23—2361no—
601C23—2361no—
602C23—2361no—
603C23—2361no—
604C23#1427369912yes—
605C23C22×C22⋊D5911yescharacteristic
606Q8—22no—
607Q8—22no—
608Q8—22no—
609Q8—22no—
610Q8—48no—
611Q8—41no—
612Q8—41no—
613Q8—41no—
614Q8—41no—
615D4—4724no—
616D4—2361no—
617D4—2361no—
618D4—2361no—
619D4—2361no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—48no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—2361no—
652C2×C4—2361no—
653C2×C4—2361no—
654C2×C4—2361no—
655C2×C4—2361no—
656C2×C4—2361no—
657C2×C4—2361no—
658C2×C4—2361no—
659C2×C4—2361no—
660C2×C4#1427369912yes—
661C2×C4C2×D4×D5911yescharacteristic
662C2×C4C2×#1174568711yescharacteristic
663C2×C4C2×#1174568511yescharacteristic
664C2×C4C2×#1174568511yescharacteristic
665C2×C4#1427377211yescharacteristic
666C2×C4#1427377211yescharacteristic
667C8—1182no—
668C8—1182no—
669C8—2361no—
670C8—2361no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—4721no—
679C22—4721no—
680C22—4721no—
681C22—4721no—
682C22—4721no—
683C22—4721no—
684C22—4721no—
685C22C2×#1427369911yescharacteristic
686C22#1683791311yescharacteristic
687C22#1683796911yescharacteristic
688C22#1683821011yescharacteristic
689C22#1683821011yescharacteristic
690C22#1683821011yescharacteristic
691C22#1683821711yescharacteristic
692C4—22no—
693C4—42no—
694C4—42no—
695C4—41no—
696C4—41no—
697C4—41no—
698C4—41no—
699C4—81no—
700C4—81no—
701C4—4721no—
702C4—4721no—
703C4—4721no—
704C4#1683804211yescharacteristic
705C4#1683804211yescharacteristic
706C4#1683807811yescharacteristic
707C4#1683807811yescharacteristic
708C2—42no—
709C2—9441no—
710C2#2142748111yescharacteristic
711C2#2143373711yescharacteristic
712C2#2143378311yescharacteristic
713C2#2143432511yescharacteristic
714C2#2143438711yescharacteristic
715C2#2143515711yescharacteristic
716C2#2143520511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2310C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
hypercenter#2310D59
hypocenterC59#24518
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2310

Complements

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

NH ≅ G/Ntype
2. C2×#16837463C2semidirect
4. #21425491C2semidirect
5. #21425477C2semidirect
6. #21425411C2semidirect
7. #21425411C2semidirect
8. #21424980C2semidirect
9. #21424953C2semidirect
10. #21424789C2semidirect
11. #21424775C2semidirect
13. #21424295C2semidirect
14. #21424031C2semidirect
15. C59×#2310C2semidirect
353. #2310D59semidirect
419. C59#24518semidirect

Maximal subgroups

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

subgroupindex
C2×#168375412
C2×#168374632
#214298852
#214254912
#214254772
#214254112
#214249802
#214249532
#214247892
#214247752
#214244182
#214242952
#214240312
C59×#23102
#2451859