Finite Group Databasebeta

← #28645806

Subgroups — #28645806

Order 15104.

994 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837682C211yesmaximal, characteristic, complemented
2C2×#16837398C211yesmaximal, characteristic
3#21427787C211yesmaximal, characteristic, complemented
4#21425644C211yesmaximal, characteristic, complemented
5#21425491C211yesmaximal, characteristic, complemented
6#21425491C211yesmaximal, characteristic, complemented
7#21425237C211yesmaximal, characteristic, complemented
8#21424357C211yesmaximal, characteristic, complemented
9#21424343C211yesmaximal, characteristic, complemented
10#21424293C211yesmaximal, characteristic, complemented
11#21424276C211yesmaximal, characteristic, complemented
12#21424123C211yesmaximal, characteristic, complemented
13#21424106C211yesmaximal, characteristic, complemented
14#21424036C211yesmaximal, characteristic
15C59×#2339C211yesmaximal, characteristic
16C23×C59⋊C8C2211yescharacteristic
17C2×#14273727C2211yescharacteristic
18C2×#14273686C2211yescharacteristic
19#16837682—24no—
20C2×#14273660C2211yescharacteristic
21C2×#14273660C2211yescharacteristic
22C2×#14273660C2211yescharacteristic
23C2×#14273658C2211yescharacteristic
24C2×C4⋊(C59⋊C8)C2211yescharacteristic
25C2×C4⋊(C59⋊C8)C2211yescharacteristic
26#16837398—24no—
27C2×#14273651C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273651C2211yescharacteristic
31C2×#14273648C2211yescharacteristic
32C2×#14273648C2211yescharacteristic
33C2×#14273648C2211yescharacteristic
34C2×#14273648C2211yescharacteristic
35C2×C22⋊(C59⋊C8)C2211yescharacteristic
36#16837325—21no—
37#16837314—21no—
38#16837306—21no—
39#16837300C2211yescharacteristic
40#16837300C2211yescharacteristic
41#16837289—21no—
42#16837268C2211yescharacteristic
43#16837262C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837157C2211yescharacteristic
50C22×#41×C59C2211yescharacteristic
51C2×C4×D4×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C59×#391C2211yescharacteristic
54C59×#391C2211yescharacteristic
55C59×#386—21no—
56C59×#386—21no—
57C59×#381—21no—
58C59×#380C2211yescharacteristic
59C4×C22⋊C4×C59C2211yescharacteristic
60C2×#95×C59—21no—
61C22×Dic118—21no—
62C22×C59⋊C8—22no—
63C22×C59⋊C8—22no—
64C22×C59⋊C8—41no—
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68C22×C59⋊C8C2311yescharacteristic
69#14273727—22no—
70#14273727—41no—
71#14273686—22no—
72#14273686—41no—
73C2×C4⋊Dic59—21no—
74C2×C4⋊Dic59C2311yescharacteristic
75C2×C4⋊Dic59C2311yescharacteristic
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×Dic59⋊C4—21no—
79C2×Dic59⋊C4—21no—
80C2×C22⋊Dic59—21no—
81C2×C22⋊Dic59—21no—
82C2×C4×Dic59—21no—
83#14273660—22no—
84#14273660—22no—
85#14273660—41no—
86#14273658—41no—
87C4⋊(C59⋊C8)—22no—
88C4⋊(C59⋊C8)—41no—
89#14273651—22no—
90#14273651—22no—
91#14273651—41no—
92#14273651—41no—
93#14273648—22no—
94#14273648—22no—
95#14273648—22no—
96#14273648D414yes—
97C22⋊(C59⋊C8)—22no—
98C59⋊#95—21no—
99C59⋊#95—21no—
100C59⋊#95—21no—
101C59⋊#95—21no—
102C59⋊#95—21no—
103C2×#41×C59—22no—
104C2×#41×C59—22no—
105C2×#41×C59—22no—
106C2×#41×C59—41no—
107C2×#41×C59—41no—
108C2×#41×C59Q814yescomplemented
109C22×Q8×C59C2311yescharacteristic
110C22×D4×C59—21no—
111C22×D4×C59C2311yescharacteristic
112C23×C4×C59—21no—
113C23×C4×C59—21no—
114C23×C4×C59—21no—
115C23×C4×C59C2311yescharacteristic
116C4×D4×C59—22no—
117C4×D4×C59—22no—
118C4×D4×C59—41no—
119C4×D4×C59—41no—
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C4⋊C4×C59C2311yescharacteristic
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59D411yescharacteristic
126C2×C22⋊C4×C59D411yescharacteristic
127C2×C42×C59C2311yescharacteristic
128C2×C42×C59C2311yescharacteristic
129#95×C59—21no—
130#95×C59—21no—
131#95×C59—21no—
132#95×C59—21no—
133#95×C59—21no—
134#95×C59D411yescharacteristic
135#95×C59D411yescharacteristic
136C24×C59—21no—
137C24×C59C2×D411yescharacteristic
138#41×C59—28no—
139#41×C59—44no—
140#41×C59—44no—
141#41×C59—44no—
142C2×Q8×C59—21no—
143C2×Q8×C59—21no—
144C2×Q8×C59—21no—
145C2×Q8×C59—21no—
146C2×Q8×C59—21no—
147C2×Q8×C59C2×Q812yes—
148C2×D4×C59—24no—
149C2×D4×C59—21no—
150C2×D4×C59—21no—
151C2×D4×C59—21no—
152C2×D4×C59—42no—
153C2×D4×C59—42no—
154C2×D4×C59C2×D412yes—
155C2×D4×C59C2×Q812yes—
156C2×D4×C59#4112yes—
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
162C22×C4×C59—24no—
163C22×C4×C59—21no—
164C22×C4×C59—21no—
165C22×C4×C59—42no—
166C22×C4×C59—42no—
167C22×C4×C59—42no—
168C22×C4×C59—42no—
169C22×C4×C59—42no—
170C22×C4×C59—42no—
171C22×C4×C59—81no—
172C22×C4×C59—81no—
173C22×C4×C59C2×D411yescharacteristic
174C22×C4×C59C2×D411yescharacteristic
175C22×C4×C59C2×D411yescharacteristic
176C22×C4×C59C2×D411yescharacteristic
177C22×C4×C59C2×D411yescharacteristic
178C22×C4×C59C2×Q812yes—
179C22×C4×C59#4112yes—
180C22×C4×C59C2411yescharacteristic
181C22×Dic59—21no—
182C22×Dic59—21no—
183C22×Dic59—21no—
184C22×Dic59—21no—
185C2×Dic118—42no—
186C2×Dic118—42no—
187C2×Dic118—81no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59—21no—
192C22⋊C4×C59—22no—
193C22⋊C4×C59—41no—
194C22⋊C4×C59—42no—
195C22⋊C4×C59—42no—
196C22⋊C4×C59—81no—
197C42×C59—21no—
198C42×C59—21no—
199C42×C59—21no—
200C42×C59—21no—
201C22⋊Dic59—42no—
202C22⋊Dic59—81no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59—42no—
211C4⋊Dic59C2×D412yes—
212Dic59⋊C4—42no—
213Dic59⋊C4—81no—
214C4×Dic59—42no—
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⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8—44no—
227C2×C59⋊C8C2×D412yes—
228C23×C59—22no—
229C23×C59—21no—
230C23×C59—22no—
231C23×C59—22no—
232C23×C59—21no—
233C23×C59—21no—
234C23×C59—21no—
235C23×C59—21no—
236C23×C59—21no—
237C23×C59—41no—
238C23×C59—41no—
239C23×C59—41no—
240C23×C59—41no—
241C23×C59C22⋊Q812yes—
242C23×C59C22×D411yescharacteristic
243Q8×C59—22no—
244Q8×C59—22no—
245Q8×C59—41no—
246Q8×C59—41no—
247D4×C59—22no—
248D4×C59—22no—
249D4×C59—22no—
250D4×C59—48no—
251D4×C59C22⋊Q814yes—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—22no—
257C2×C4×C59—22no—
258C2×C4×C59—22no—
259C2×C4×C59—22no—
260C2×C4×C59—22no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
268C2×C4×C59—21no—
269C2×C4×C59—21no—
270C2×C4×C59—48no—
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—84no—
280C2×C4×C59—84no—
281C2×C4×C59C22⋊Q812yes—
282C2×C4×C59#13512yes—
283C2×C4×C59C22×D411yescharacteristic
284C2×C4×C59C22×Q811yescharacteristic
285C2×C4×C59C2×#4111yescharacteristic
286C2×C4×C59C2×#4111yescharacteristic
287C2×C4×C59H(5,𝔽2)11yescharacteristic
288C2×C4×C59H(5,𝔽2)11yescharacteristic
289C2×Dic59—22no—
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—41no—
300C2×Dic59—41no—
301Dic118—84no—
302C59⋊C8—22no—
303C59⋊C8—41no—
304C59⋊C8—41no—
305C59⋊C8—41no—
306#25954—591nomaximal, Sylow
307C22×C59—22no—
308C22×C59—22no—
309C22×C59—22no—
310C22×C59—24no—
311C22×C59—42no—
312C22×C59—42no—
313C22×C59—41no—
314C22×C59—42no—
315C22×C59—42no—
316C22×C59—41no—
317C22×C59—41no—
318C22×C59—42no—
319C22×C59—42no—
320C22×C59—41no—
321C22×C59C2×C22⋊Q811yescharacteristic
322C22×C59D4211yescharacteristic
323C22×C59#54611yescharacteristic
324C22×C59C2×#13511yescharacteristic
325C22×C59#57511yescharacteristic
326C22×C59#57611yescharacteristic
327C22×C59#57811yescharacteristic
328C4×C59—22no—
329C4×C59—22no—
330C4×C59—42no—
331C4×C59—41no—
332C4×C59—41no—
333C4×C59—41no—
334C4×C59—81no—
335C4×C59—81no—
336C4×C59C2×C22⋊Q811yescharacteristic
337C4×C59#54311yescharacteristic
338C4×C59#54611yescharacteristic
339C4×C59#55111yescharacteristic
340Dic59—42no—
341Dic59—81no—
342Dic59—81no—
343Dic59—81no—
344C2×#474—591no—
345C2×#416—591no—
346#2439—591no—
347#2339D5911yescharacteristic
348#2097—591no—
349#2068—591no—
350#2068—591no—
351#2024—591no—
352#1864—591no—
353#1862—591no—
354#1854—591no—
355#1850—591no—
356#1808—591no—
357#1804—591no—
358#1788—591no—
359C2×C59—42no—
360C2×C59—44no—
361C2×C59#243711yescharacteristic
362C2×C59#307611yescharacteristic
363C2×C59#308311yescharacteristic
364C2×C59#326911yescharacteristic
365C2×C59#328011yescharacteristic
366C2×C59#330211yescharacteristic
367C2×C59#331911yescharacteristic
368C22×#41C2×D5911yescharacteristic
369C23×C8—591no—
370C2×C4⋊Q8—591no—
371C2×C4×D4C2×D5911yescharacteristic
372C2×C4×D4C2×D5911yescharacteristic
373C2×#117—591no—
374#474—1184no—
375C2×#107—591no—
376C2×#107—591no—
377C2×#107—591no—
378C2×#106—591no—
379C2×C4⋊C8—591no—
380C2×C4⋊C8—591no—
381#416—1184no—
382C2×#103—591no—
383C2×#103—591no—
384C2×#103—591no—
385C2×#103—591no—
386C2×#102—591no—
387C2×#102—591no—
388C2×#102—591no—
389C2×#102—591no—
390C2×C22⋊C8—591no—
391#396—1181no—
392#393—1181no—
393#391—1181no—
394#391C2×D5911yescharacteristic
395#391C2×D5911yescharacteristic
396#389—591no—
397#389—591no—
398#387—1181no—
399#386—21no—
400#386—21no—
401#382—591no—
402#381—21no—
403#380—591no—
404#380C2×D5911yescharacteristic
405C4×C22⋊C4C2×D5911yescharacteristic
406C2×#95—21no—
407#340—591no—
408#340—591no—
409#340—591no—
410#340—591no—
411#336—591no—
412#336—591no—
413C59#2595411yescharacteristic, complemented, Sylow
414C2×#41—22no—
415C2×#41—22no—
416C2×#41—22no—
417C2×#41—41no—
418C2×#41—41no—
419C2×#41Dic11814yescomplemented
420C22×Q8—1181no—
421C22×Q8C22×D5911yescharacteristic
422C22×D4—21no—
423C22×D4C22×D5911yescharacteristic
424C23×C4—21no—
425C23×C4—21no—
426C23×C4—21no—
427C23×C4C22×D5911yescharacteristic
428C22×C8—591no—
429C22×C8—591no—
430C22×C8—591no—
431C22×C8—591no—
432C22×C8—1182no—
433C22×C8—1182no—
434C22×C8—2361no—
435C4⋊Q8—1182no—
436C4⋊Q8—2361no—
437C4×D4—22no—
438C4×D4—22no—
439C4×D4—41no—
440C4×D4—41no—
441#117—1182no—
442#117—2361no—
443C2×C4⋊C4—591no—
444C2×C4⋊C4—591no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—591no—
447C2×C4⋊C4—1181no—
448C2×C4⋊C4—1181no—
449C2×C4⋊C4—1181no—
450C2×C4⋊C4C22×D5911yescharacteristic
451C2×C4⋊C4C22×D5911yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4—1181no—
457C2×C22⋊C4C22⋊D5911yescharacteristic
458C2×C22⋊C4C22⋊D5911yescharacteristic
459C2×C42—1181no—
460C2×C42C22×D5911yescharacteristic
461C2×C42C22×D5911yescharacteristic
462#107—1182no—
463#107—1182no—
464#107—2361no—
465#106—2361no—
466C4⋊C8—1182no—
467C4⋊C8—2361no—
468#103—1182no—
469#103—1182no—
470#103—2361no—
471#103—2361no—
472#102—594no—
473#102—1182no—
474#102—1182no—
475#102—1182no—
476C22⋊C8—1182no—
477#95—21no—
478#95—21no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—1181no—
483#95—1181no—
484#95—1181no—
485#95—1181no—
486#95—1181no—
487#95C22⋊D5911yescharacteristic
488#95C22⋊D5911yescharacteristic
489C24—21no—
490C24C2×C22⋊D5911yescharacteristic
491#41—28no—
492#41—44no—
493#41—44no—
494#41—44no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—4721no—
501C2×Q8—2362no—
502C2×Q8—2362no—
503C2×Q8C2×Dic11812yes—
504C2×D4—24no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4C2×Dic11812yes—
511C2×D4D4×D5912yes—
512C2×D4#1174568712yes—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—24no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—81no—
528C22×C4—81no—
529C22×C4—1181no—
530C22×C4—1181no—
531C22×C4—1181no—
532C22×C4—1181no—
533C22×C4C2×Dic11812yes—
534C22×C4#1174568512yes—
535C22×C4C2×C22⋊D5911yescharacteristic
536C22×C4C2×C22⋊D5911yescharacteristic
537C22×C4C2×C22⋊D5911yescharacteristic
538C22×C4C2×C22⋊D5911yescharacteristic
539C22×C4C2×C22⋊D5911yescharacteristic
540C22×C4C23×D5911yescharacteristic
541C2×C8—592no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—1181no—
547C2×C8—1181no—
548C2×C8—1181no—
549C2×C8—1181no—
550C2×C8—1181no—
551C2×C8—1181no—
552C2×C8—1181no—
553C2×C8—2364no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—592no—
559C4⋊C4—1181no—
560C4⋊C4—1181no—
561C4⋊C4—1181no—
562C4⋊C4—1181no—
563C4⋊C4—1181no—
564C4⋊C4—1181no—
565C4⋊C4—1181no—
566C4⋊C4—4721no—
567C4⋊C4—2362no—
568C4⋊C4—2362no—
569C22⋊C4—22no—
570C22⋊C4—41no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—81no—
574C22⋊C4—4721no—
575C22⋊C4—2362no—
576C42—21no—
577C42—21no—
578C42—21no—
579C42—21no—
580C42—2362no—
581C23—22no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—22no—
587C23—21no—
588C23—22no—
589C23—21no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23#1427370612yes—
595C23C22×C22⋊D5911yescharacteristic
596Q8—22no—
597Q8—22no—
598Q8—41no—
599Q8—41no—
600Q8—4724no—
601D4—22no—
602D4—22no—
603D4—22no—
604D4—48no—
605D4#1427370414yes—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—48no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—84no—
634C2×C4—84no—
635C2×C4—1182no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4—2361no—
643C2×C4—2361no—
644C2×C4—2361no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4#1427370612yes—
648C2×C4#1427374712yes—
649C2×C4C2×D4×D5911yescharacteristic
650C2×C4C22×Dic11811yescharacteristic
651C2×C4C2×#1174568711yescharacteristic
652C2×C4C2×#1174568511yescharacteristic
653C2×C4#1427377211yescharacteristic
654C2×C4#1427377211yescharacteristic
655C8—1182no—
656C8—2361no—
657C8—2361no—
658C8—2361no—
659C22—22no—
660C22—22no—
661C22—24no—
662C22—22no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—41no—
667C22—41no—
668C22—42no—
669C22—42no—
670C22—41no—
671C22—41no—
672C22—42no—
673C22C2×#1427370611yescharacteristic
674C22D4×C22⋊D5911yescharacteristic
675C22#1683804611yescharacteristic
676C22C2×#1427374711yescharacteristic
677C22#1683820011yescharacteristic
678C22#1683820511yescharacteristic
679C22#1683821711yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—41no—
684C4—41no—
685C4—41no—
686C4—81no—
687C4—81no—
688C4—4721no—
689C4—4721no—
690C4—4721no—
691C4—2362no—
692C4C2×#1427370411yescharacteristic
693C4#1683802811yescharacteristic
694C4#1683804211yescharacteristic
695C4#1683807811yescharacteristic
696C2—42no—
697C2—44no—
698C2#2142775711yescharacteristic
699C2#2143388411yescharacteristic
700C2#2143394711yescharacteristic
701C2#2143564711yescharacteristic
702C2#2143577711yescharacteristic
703C2#2143601311yescharacteristic
704C2#2143625211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2339C2
socleC23×C59C22×D4
prime radicalC22×#41×C59C22
hypercenter#2339D59
hypocenterC59#25954
LCSG ▷ C22×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
1. C2×#16837682C2semidirect
3. #21427787C2semidirect
4. #21425644C2semidirect
5. #21425491C2semidirect
6. #21425491C2semidirect
7. #21425237C2semidirect
8. #21424357C2semidirect
9. #21424343C2semidirect
10. #21424293C2semidirect
11. #21424276C2semidirect
12. #21424123C2semidirect
13. #21424106C2semidirect
108. C2×#41×C59Q8semidirect
413. C59#25954semidirect
419. C2×#41Dic118semidirect

Maximal subgroups

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

subgroupindex
C2×#168376822
C2×#168373982
#214277872
#214256442
#214254912
#214252372
#214243572
#214243432
#214242932
#214242762
#214241232
#214241062
#214240362
C59×#23392
#2595459