Finite Group Databasebeta

← #28627750

Subgroups — #28627750

Order 15104.

978 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×#16837564C211yesmaximal, characteristic
2C2×#16837398C211yesmaximal, characteristic
3#21428549C211yesmaximal, characteristic, complemented
4#21425509C211yesmaximal, characteristic, complemented
5#21425499C211yesmaximal, characteristic, complemented
6#21425413C211yesmaximal, characteristic, complemented
7#21425413C211yesmaximal, characteristic, complemented
8#21424517C211yesmaximal, characteristic, complemented
9#21424437C211yesmaximal, characteristic, complemented
10#21424437C211yesmaximal, characteristic, complemented
11#21424276C211yesmaximal, characteristic, complemented
12#21424188C211yesmaximal, characteristic, complemented
13#21424111C211yesmaximal, characteristic, complemented
14#21424101C211yesmaximal, characteristic, complemented
15C59×#2341C211yesmaximal, characteristic
16C22×#11745672C2211yescharacteristic
17C22×#11745670C2211yescharacteristic
18C23×C59⋊C8C2211yescharacteristic
19C2×#14273706C2211yescharacteristic
20C2×#14273686C2211yescharacteristic
21#16837564—24no—
22C2×C4⋊(C59⋊C8)C2211yescharacteristic
23C2×C4⋊(C59⋊C8)C2211yescharacteristic
24#16837398—24no—
25C2×#14273651C2211yescharacteristic
26C2×#14273651C2211yescharacteristic
27C2×#14273651C2211yescharacteristic
28C2×#14273650C2211yescharacteristic
29C2×#14273650C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×#14273648C2211yescharacteristic
32C2×#14273648C2211yescharacteristic
33C2×C22⋊(C59⋊C8)C2211yescharacteristic
34#16837327—21no—
35#16837327—21no—
36#16837308C2211yescharacteristic
37#16837308C2211yescharacteristic
38#16837287—21no—
39#16837287—21no—
40#16837272C2211yescharacteristic
41#16837268C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837157C2211yescharacteristic
50C22×#41×C59C2211yescharacteristic
51C2×C4×Q8×C59C2211yescharacteristic
52C2×C4×Q8×C59C2211yescharacteristic
53C59×#390—21no—
54C59×#390—21no—
55C59×#390C2211yescharacteristic
56C59×#390C2211yescharacteristic
57C59×#380—21no—
58C59×#380C2211yescharacteristic
59C4×C22⋊C4×C59—21no—
60C4×C22⋊C4×C59C2211yescharacteristic
61C22×Dic118C2311yescharacteristic
62C2×#11745672—22no—
63C2×#11745672—22no—
64C2×#11745672—22no—
65C2×#11745670—22no—
66C2×#11745670—41no—
67C2×#11745670—41no—
68C22×C59⋊C8—22no—
69C22×C59⋊C8—41no—
70C22×C59⋊C8—41no—
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75#14273706—22no—
76#14273706—22no—
77#14273686—22no—
78#14273686—22no—
79C2×C4⋊Dic59—21no—
80C2×C4⋊Dic59—21no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×Dic59⋊C4—21no—
85C2×C22⋊Dic59—21no—
86C2×C22⋊Dic59—21no—
87C2×C4×Dic59—21no—
88C4⋊(C59⋊C8)—41no—
89C4⋊(C59⋊C8)—41no—
90#14273651—22no—
91#14273651—22no—
92#14273651—22no—
93#14273650—41no—
94#14273650—41no—
95#14273648—22no—
96#14273648—22no—
97#14273648—22no—
98C22⋊(C59⋊C8)—22no—
99C59⋊#95—21no—
100C59⋊#95—21no—
101C59⋊#95—21no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C2×#41×C59—22no—
106C2×#41×C59—22no—
107C2×#41×C59—22no—
108C2×#41×C59—41no—
109C2×#41×C59—41no—
110C2×#41×C59D414yes—
111C22×Q8×C59C2311yescharacteristic
112C22×D4×C59—21no—
113C22×D4×C59C2311yescharacteristic
114C23×C4×C59—21no—
115C23×C4×C59C2311yescharacteristic
116C4×Q8×C59—22no—
117C4×Q8×C59—22no—
118C4×Q8×C59—41no—
119C4×Q8×C59—41no—
120C2×C4⋊C4×C59—21no—
121C2×C4⋊C4×C59—21no—
122C2×C4⋊C4×C59C2311yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59—21no—
129C2×C22⋊C4×C59D411yescharacteristic
130C2×C22⋊C4×C59D411yescharacteristic
131C2×C42×C59—21no—
132C2×C42×C59—21no—
133C2×C42×C59C2311yescharacteristic
134C2×C42×C59C2311yescharacteristic
135#95×C59—21no—
136#95×C59D411yescharacteristic
137#95×C59D411yescharacteristic
138C24×C59—21no—
139C24×C59C2×D411yescharacteristic
140#41×C59—28no—
141#41×C59—44no—
142#41×C59—44no—
143#41×C59—44no—
144C2×Q8×C59—21no—
145C2×Q8×C59—21no—
146C2×Q8×C59—21no—
147C2×Q8×C59C2×D412yes—
148C2×Q8×C59#4112yes—
149C2×Q8×C59#4112yes—
150C2×D4×C59—24no—
151C2×D4×C59—21no—
152C2×D4×C59—21no—
153C2×D4×C59—21no—
154C2×D4×C59—21no—
155C2×D4×C59—21no—
156C2×D4×C59—42no—
157C2×D4×C59—42no—
158C2×D4×C59C2×D412yes—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
162C22×C4×C59—21no—
163C22×C4×C59—21no—
164C22×C4×C59—24no—
165C22×C4×C59—21no—
166C22×C4×C59—21no—
167C22×C4×C59—42no—
168C22×C4×C59—42no—
169C22×C4×C59C2×D411yescharacteristic
170C22×C4×C59C2×D411yescharacteristic
171C22×C4×C59C2×D411yescharacteristic
172C22×C4×C59C2×D411yescharacteristic
173C22×C4×C59C2×D412yes—
174C22×C4×C59C2×D411yescharacteristic
175C22×C4×C59#4112yes—
176C22×C4×C59C2411yescharacteristic
177C22×Dic59—21no—
178C22×Dic59—21no—
179C22×Dic59—21no—
180C22×Dic59—21no—
181C2×Dic118—21no—
182C2×Dic118—21no—
183C2×Dic118—21no—
184C2×Dic118—21no—
185C2×Dic118—21no—
186C2×Dic118—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59—42no—
192C4⋊C4×C59—42no—
193C22⋊C4×C59—22no—
194C22⋊C4×C59—41no—
195C22⋊C4×C59—42no—
196C22⋊C4×C59—42no—
197C22⋊C4×C59—81no—
198C22⋊C4×C59—81no—
199C22⋊C4×C59—81no—
200C42×C59—21no—
201C42×C59—21no—
202C42×C59—21no—
203C42×C59—21no—
204C42×C59—42no—
205C42×C59—42no—
206C22⋊Dic59—42no—
207C22⋊Dic59—42no—
208#11745672—44no—
209#11745670—44no—
210C4⋊Dic59—21no—
211C4⋊Dic59—21no—
212C4⋊Dic59—21no—
213C4⋊Dic59—21no—
214C4⋊Dic59—21no—
215C4⋊Dic59—21no—
216C4⋊Dic59—42no—
217C4⋊Dic59—42no—
218Dic59⋊C4—42no—
219C4×Dic59—42no—
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⋊C8—21no—
231C2×C59⋊C8—21no—
232C2×C59⋊C8—44no—
233C23×C59—21no—
234C23×C59—21no—
235C23×C59—21no—
236C23×C59—21no—
237C23×C59—21no—
238C23×C59—21no—
239C23×C59—22no—
240C23×C59—41no—
241C23×C59—41no—
242C23×C59—41no—
243C23×C59—41no—
244C23×C59—41no—
245C23×C59—41no—
246C23×C59#12112yes—
247C23×C59C22×D411yescharacteristic
248Q8×C59—22no—
249Q8×C59—22no—
250Q8×C59—22no—
251Q8×C59#12314yes—
252D4×C59—22no—
253D4×C59—22no—
254D4×C59—48no—
255D4×C59—41no—
256D4×C59—41no—
257C2×C4×C59—22no—
258C2×C4×C59—21no—
259C2×C4×C59—22no—
260C2×C4×C59—22no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—22no—
265C2×C4×C59—22no—
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—21no—
277C2×C4×C59—48no—
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#12112yes—
285C2×C4×C59#13512yes—
286C2×C4×C59C22×D411yescharacteristic
287C2×C4×C59C2×#4111yescharacteristic
288C2×C4×C59C2×#4111yescharacteristic
289C2×C4×C59C2×#4111yescharacteristic
290C2×C4×C59H(5,𝔽2)11yescharacteristic
291C2×C4×C59H(5,𝔽2)11yescharacteristic
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—
301C2×Dic59—41no—
302C2×Dic59—41no—
303C2×Dic59—41no—
304Dic118—41no—
305Dic118—41no—
306Dic118—41no—
307Dic118—41no—
308C59⋊C8—41no—
309C59⋊C8—41no—
310C59⋊C8—41no—
311C59⋊C8—41no—
312#24534—591nomaximal, Sylow
313C22×C59—22no—
314C22×C59—22no—
315C22×C59—22no—
316C22×C59—41no—
317C22×C59—41no—
318C22×C59—41no—
319C22×C59—41no—
320C22×C59—42no—
321C22×C59—42no—
322C22×C59—42no—
323C22×C59—81no—
324C22×C59—81no—
325C22×C59—81no—
326C22×C59—81no—
327C22×C59C2×#12111yescharacteristic
328C22×C59#54611yescharacteristic
329C22×C59#54611yescharacteristic
330C22×C59C2×#13511yescharacteristic
331C22×C59#57511yescharacteristic
332C22×C59#57711yescharacteristic
333C22×C59#57811yescharacteristic
334C4×C59—22no—
335C4×C59—24no—
336C4×C59—22no—
337C4×C59—41no—
338C4×C59—41no—
339C4×C59—41no—
340C4×C59—81no—
341C4×C59—81no—
342C4×C59C2×#12311yescharacteristic
343C4×C59#53411yescharacteristic
344C4×C59#55111yescharacteristic
345C4×C59#55111yescharacteristic
346Dic59—81no—
347Dic59—81no—
348Dic59—81no—
349Dic59—81no—
350C2×#452—591no—
351C2×#416—591no—
352#2499—591no—
353#2341D5911yescharacteristic
354#2073—591no—
355#2071—591no—
356#2055—591no—
357#2055—591no—
358#1892—591no—
359#1878—591no—
360#1878—591no—
361#1850—591no—
362#1825—591no—
363#1805—591no—
364#1803—591no—
365C2×C59—42no—
366C2×C59—82no—
367C2×C59#241211yescharacteristic
368C2×C59#303511yescharacteristic
369C2×C59#304611yescharacteristic
370C2×C59#330011yescharacteristic
371C2×C59#330411yescharacteristic
372C2×C59#331311yescharacteristic
373C2×C59#331711yescharacteristic
374C22×#41C2×D5911yescharacteristic
375C22×Q16—591no—
376C22×SD16—591no—
377C23×C8—591no—
378C2×C22⋊Q8—591no—
379C2×C4×Q8C2×D5911yescharacteristic
380C2×C4×Q8C2×D5911yescharacteristic
381C2×#117—591no—
382#452—1184no—
383C2×C4⋊C8—591no—
384C2×C4⋊C8—591no—
385#416—1184no—
386C2×#103—591no—
387C2×#103—591no—
388C2×#103—591no—
389C2×#103—591no—
390C2×#103—591no—
391C2×#102—591no—
392C2×#102—591no—
393C2×#102—591no—
394C2×C22⋊C8—591no—
395#397—1181no—
396#397—1181no—
397#391—591no—
398#391—591no—
399#390—21no—
400#390—21no—
401#390C2×D5911yescharacteristic
402#390C2×D5911yescharacteristic
403#387—1181no—
404#387—1181no—
405#384—591no—
406#382—591no—
407#380—21no—
408#380C2×D5911yescharacteristic
409C4×C22⋊C4—21no—
410C4×C22⋊C4C2×D5911yescharacteristic
411#340—591no—
412#340—591no—
413#340—591no—
414#340—591no—
415#340—591no—
416#340—591no—
417#336—591no—
418#336—591no—
419C59#2453411yescharacteristic, complemented, Sylow
420C2×#41—22no—
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—41no—
424C2×#41—41no—
425C2×#41D23614yes—
426C22×Q8—591no—
427C22×Q8C22×D5911yescharacteristic
428C22×D4—21no—
429C22×D4C22×D5911yescharacteristic
430C23×C4—21no—
431C23×C4C22×D5911yescharacteristic
432C2×Q16—1182no—
433C2×Q16—1182no—
434C2×Q16—1182no—
435C2×SD16—1182no—
436C2×SD16—2361no—
437C2×SD16—2361no—
438C22×C8—591no—
439C22×C8—591no—
440C22×C8—591no—
441C22×C8—591no—
442C22×C8—1182no—
443C22×C8—2361no—
444C22×C8—2361no—
445C22⋊Q8—1182no—
446C22⋊Q8—1182no—
447C4×Q8—22no—
448C4×Q8—22no—
449C4×Q8—41no—
450C4×Q8—41no—
451#117—1182no—
452#117—1182no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—591no—
456C2×C4⋊C4—591no—
457C2×C4⋊C4—591no—
458C2×C4⋊C4—1181no—
459C2×C4⋊C4—1181no—
460C2×C4⋊C4—1181no—
461C2×C4⋊C4C22×D5911yescharacteristic
462C2×C4⋊C4C22×D5911yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—1181no—
469C2×C22⋊C4—1181no—
470C2×C22⋊C4C22⋊D5911yescharacteristic
471C2×C22⋊C4C22⋊D5911yescharacteristic
472C2×C42—21no—
473C2×C42—21no—
474C2×C42—1181no—
475C2×C42C22×D5911yescharacteristic
476C2×C42C22×D5911yescharacteristic
477C4⋊C8—2361no—
478C4⋊C8—2361no—
479#103—1182no—
480#103—1182no—
481#103—1182no—
482#103—2361no—
483#103—2361no—
484#102—1182no—
485#102—1182no—
486#102—1182no—
487C22⋊C8—1182no—
488#95—21no—
489#95—1181no—
490#95—1181no—
491#95—1181no—
492#95—1181no—
493#95—1181no—
494#95—1181no—
495#95C22⋊D5911yescharacteristic
496#95C22⋊D5911yescharacteristic
497C24—21no—
498C24C2×C22⋊D5911yescharacteristic
499#41—28no—
500#41—44no—
501#41—44no—
502#41—44no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—1181no—
507C2×Q8—1181no—
508C2×Q8—1181no—
509C2×Q8—1181no—
510C2×Q8—1181no—
511C2×Q8—1181no—
512C2×Q8C2×D23612yes—
513C2×Q8#1174568712yes—
514C2×Q8#1174568712yes—
515C2×D4—24no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4C2×D23612yes—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—24no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—1181no—
535C22×C4—1181no—
536C22×C4—1181no—
537C22×C4—1181no—
538C22×C4C2×D23612yes—
539C22×C4#1174568512yes—
540C22×C4C2×C22⋊D5911yescharacteristic
541C22×C4C2×C22⋊D5911yescharacteristic
542C22×C4C2×C22⋊D5911yescharacteristic
543C22×C4C2×C22⋊D5911yescharacteristic
544C22×C4C2×C22⋊D5911yescharacteristic
545C22×C4C23×D5911yescharacteristic
546Q16—2364no—
547SD16—2364no—
548C2×C8—1181no—
549C2×C8—1181no—
550C2×C8—1181no—
551C2×C8—1181no—
552C2×C8—1181no—
553C2×C8—1181no—
554C2×C8—1181no—
555C2×C8—1181no—
556C2×C8—1181no—
557C2×C8—1181no—
558C2×C8—1181no—
559C2×C8—1181no—
560C2×C8—2364no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—1181no—
568C4⋊C4—1181no—
569C4⋊C4—1181no—
570C4⋊C4—1181no—
571C4⋊C4—1181no—
572C4⋊C4—1181no—
573C4⋊C4—2362no—
574C4⋊C4—2362no—
575C4⋊C4—2362no—
576C22⋊C4—22no—
577C22⋊C4—41no—
578C22⋊C4—42no—
579C22⋊C4—42no—
580C22⋊C4—81no—
581C22⋊C4—81no—
582C22⋊C4—81no—
583C22⋊C4—2362no—
584C22⋊C4—2362no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—42no—
590C42—42no—
591C42—2362no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23#1427370112yes—
606C23C22×C22⋊D5911yescharacteristic
607Q8—22no—
608Q8—22no—
609Q8—22no—
610Q8—2361no—
611Q8—2361no—
612Q8—2361no—
613Q8—2361no—
614Q8#1427371114yes—
615D4—22no—
616D4—22no—
617D4—48no—
618D4—41no—
619D4—41no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—21no—
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—2361no—
648C2×C4—2361no—
649C2×C4—2361no—
650C2×C4—2361no—
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#1427370112yes—
660C2×C4#1427374712yes—
661C2×C4C22×D23611yescharacteristic
662C2×C4C2×#1174568711yescharacteristic
663C2×C4C2×#1174568711yescharacteristic
664C2×C4C2×#1174568511yescharacteristic
665C2×C4#1427377211yescharacteristic
666C2×C4#1427377211yescharacteristic
667C8—2361no—
668C8—2361no—
669C8—2361no—
670C8—2361no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22C2×#1427370111yescharacteristic
686C22#1683804611yescharacteristic
687C22#1683804611yescharacteristic
688C22C2×#1427374711yescharacteristic
689C22#1683820011yescharacteristic
690C22#1683821311yescharacteristic
691C22#1683821711yescharacteristic
692C4—22no—
693C4—24no—
694C4—22no—
695C4—41no—
696C4—41no—
697C4—41no—
698C4—81no—
699C4—81no—
700C4—4721no—
701C4—4721no—
702C4—4721no—
703C4—4721no—
704C4C2×#1427371111yescharacteristic
705C4#1683796411yescharacteristic
706C4#1683807811yescharacteristic
707C4#1683807811yescharacteristic
708C2—42no—
709C2—82no—
710C2#2142748611yescharacteristic
711C2#2143355111yescharacteristic
712C2#2143364611yescharacteristic
713C2#2143598311yescharacteristic
714C2#2143603511yescharacteristic
715C2#2143616211yescharacteristic
716C2#2143622211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2341C2
socleC23×C59C22×D4
prime radicalC22×#41×C59C22
hypercenter#2341D59
hypocenterC59#24534
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2341

Complements

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

NH ≅ G/Ntype
3. #21428549C2semidirect
4. #21425509C2semidirect
5. #21425499C2semidirect
6. #21425413C2semidirect
7. #21425413C2semidirect
8. #21424517C2semidirect
9. #21424437C2semidirect
10. #21424437C2semidirect
11. #21424276C2semidirect
12. #21424188C2semidirect
13. #21424111C2semidirect
14. #21424101C2semidirect
419. C59#24534semidirect

Maximal subgroups

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

subgroupindex
C2×#168375642
C2×#168373982
#214285492
#214255092
#214254992
#214254132
#214245172
#214244372
#214242762
#214241882
#214241112
#214241012
C59×#23412
#2453459