Finite Group Databasebeta

← #28648647

Subgroups — #28648647

Order 15104.

924 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837723C211yesmaximal, characteristic, complemented
2C2×#16837442C211yesmaximal, characteristic, complemented
3#21427045C211yesmaximal, characteristic, complemented
4#21425624C211yesmaximal, characteristic, complemented
5#21425567C211yesmaximal, characteristic, complemented
6#21425527C211yesmaximal, characteristic, complemented
7#21425275C211yesmaximal, characteristic, complemented
8#21424720C211yesmaximal, characteristic, complemented
9#21424671C211yesmaximal, characteristic, complemented
10#21424535C211yesmaximal, characteristic, complemented
11#21424419C211yesmaximal, characteristic, complemented
12#21424394C211yesmaximal, characteristic, complemented
13#21424293C211yesmaximal, characteristic, complemented
14#21424284C211yesmaximal, characteristic, complemented
15C59×#2416C211yesmaximal, characteristic
16C22×#11745664C2211yescharacteristic
17C2×#14273686C2211yescharacteristic
18C2×#14273686C2211yescharacteristic
19#16837723—24no—
20#16837442—24no—
21C2×#14273660C2211yescharacteristic
22C2×#14273660C2211yescharacteristic
23C2×#14273660C2211yescharacteristic
24C2×#14273660C2211yescharacteristic
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#16837305—21no—
35#16837295—21no—
36#16837295—21no—
37#16837272C2211yescharacteristic
38#16837262C2211yescharacteristic
39#16837262C2211yescharacteristic
40C4⋊C4×Dic59—21no—
41C4×C4⋊Dic59C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837157C2211yescharacteristic
50C2×#121×C59—21no—
51C2×#121×C59C2211yescharacteristic
52C2×#121×C59C2211yescharacteristic
53C2×C4×D4×C59C2211yescharacteristic
54C22×C4⋊C4×C59C2211yescharacteristic
55C59×#396—21no—
56C59×#394—21no—
57C59×#390C2211yescharacteristic
58C59×#389C2211yescharacteristic
59C59×#386—21no—
60C59×#380C2211yescharacteristic
61C2×#11745664—22no—
62C2×#11745664—22no—
63C2×#11745664—22no—
64C22×C59⋊C8C2311yescharacteristic
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68#14273686—22no—
69#14273686—22no—
70#14273686—41no—
71#14273686—41no—
72C2×C4⋊Dic59—21no—
73C2×C4⋊Dic59—21no—
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×C22⋊Dic59—21no—
82C2×C4×Dic59—21no—
83C2×C4×Dic59—21no—
84C2×C4×Dic59—21no—
85#14273660—22no—
86#14273660—22no—
87#14273660—22no—
88#14273660—41no—
89#14273658—22no—
90#14273658D414yescomplemented
91#14273648—22no—
92#14273648—22no—
93#14273648—22no—
94#14273648—41no—
95C22⋊(C59⋊C8)—22no—
96C22⋊(C59⋊C8)—22no—
97C22⋊(C59⋊C8)—22no—
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×C59—21no—
106C23×C4×C59C2311yescharacteristic
107C23×C4×C59C2311yescharacteristic
108#121×C59—22no—
109#121×C59—22no—
110#121×C59—22no—
111#121×C59—41no—
112#121×C59—44no—
113C4×D4×C59—22no—
114C4×D4×C59—22no—
115C2×C4⋊C4×C59—22no—
116C2×C4⋊C4×C59—21no—
117C2×C4⋊C4×C59—21no—
118C2×C4⋊C4×C59—41no—
119C2×C4⋊C4×C59D411yescharacteristic
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C4⋊C4×C59C2311yescharacteristic
122C2×C4⋊C4×C59C2311yescharacteristic
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59D411yescharacteristic
129C2×C22⋊C4×C59D411yescharacteristic
130C2×C42×C59C2311yescharacteristic
131#95×C59—21no—
132#95×C59—21no—
133C24×C59—21no—
134C24×C59C2×D411yescharacteristic
135C24×C59C2×D411yescharacteristic
136C2×D4×C59—22no—
137C2×D4×C59—22no—
138C2×D4×C59—21no—
139C2×D4×C59—21no—
140C2×D4×C59—21no—
141C2×D4×C59—21no—
142C2×D4×C59—21no—
143C2×D4×C59—21no—
144C2×D4×C59—41no—
145C2×D4×C59—42no—
146C2×D4×C59—42no—
147C2×D4×C59—42no—
148C2×D4×C59—42no—
149C2×D4×C59—42no—
150C2×D4×C59—81no—
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×C59—21no—
164C22×C4×C59—42no—
165C22×C4×C59—42no—
166C22×C4×C59—81no—
167C22×C4×C59C2×D411yescharacteristic
168C22×C4×C59C2×D411yescharacteristic
169C22×C4×C59C2×D411yescharacteristic
170C22×C4×C59C2×D411yescharacteristic
171C22×C4×C59#4112yes—
172C22×C4×C59#4112yes—
173C22×C4×C59C2411yescharacteristic
174C22×Dic59—21no—
175C22×Dic59—21no—
176C22×Dic59—21no—
177C22×Dic59—21no—
178C4⋊C4×C59—22no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—42no—
185C4⋊C4×C59—42no—
186C4⋊C4×C59C2×D412yes—
187C22⋊C4×C59—22no—
188C22⋊C4×C59—22no—
189C22⋊C4×C59—42no—
190C22⋊C4×C59—42no—
191C22⋊C4×C59—42no—
192C22⋊C4×C59—42no—
193C22⋊C4×C59—81no—
194C42×C59—21no—
195C42×C59—21no—
196C22⋊Dic59—42no—
197C22⋊Dic59—42no—
198C22⋊Dic59—81no—
199C22⋊Dic59—81no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—42no—
208C4⋊Dic59—81no—
209C4⋊Dic59C2×D412yes—
210C4×Dic59—42no—
211C4×Dic59—42no—
212C4×Dic59—42no—
213#11745664—28no—
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⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8C2×D412yes—
225C2×C59⋊C8#4112yes—
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—21no—
237C23×C59—21no—
238C23×C59—21no—
239C23×C59—41no—
240C23×C59—41no—
241C23×C59—41no—
242C23×C59—41no—
243C23×C59—41no—
244C23×C59—41no—
245C23×C59—41no—
246C23×C59#12312yes—
247C23×C59C22×D411yescharacteristic
248D4×C59—44no—
249D4×C59—41no—
250D4×C59—41no—
251D4×C59—41no—
252D4×C59—41no—
253D4×C59—84no—
254D4×C59—84no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—22no—
260C2×C4×C59—22no—
261C2×C4×C59—22no—
262C2×C4×C59—22no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—22no—
267C2×C4×C59—21no—
268C2×C4×C59—21no—
269C2×C4×C59—21no—
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—41no—
281C2×C4×C59—41no—
282C2×C4×C59—84no—
283C2×C4×C59#12312yes—
284C2×C4×C59AGL(1,ℤ/8)12yes—
285C2×C4×C59C22×D411yescharacteristic
286C2×C4×C59C2×#4111yescharacteristic
287C2×C4×C59C2×#4111yescharacteristic
288C2×C4×C59C2×#4111yescharacteristic
289C2×C4×C59H(5,𝔽2)11yescharacteristic
290C2×C4×C592−1+411yescharacteristic
291C2×Dic59—22no—
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—
303C59⋊C8—22no—
304C59⋊C8—22no—
305C59⋊C8—41no—
306C59⋊C8—41no—
307#26157—591nomaximal, Sylow
308C22×C59—22no—
309C22×C59—22no—
310C22×C59—22no—
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—41no—
320C22×C59—41no—
321C22×C59—41no—
322C22×C59—81no—
323C22×C59—81no—
324C22×C59—81no—
325C22×C59—81no—
326C22×C59—81no—
327C22×C59—81no—
328C22×C59—81no—
329C22×C59C2×#12311yescharacteristic
330C22×C59D4211yescharacteristic
331C22×C59#54711yescharacteristic
332C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
333C22×C59#57511yescharacteristic
334C22×C59#57611yescharacteristic
335C22×C59#57811yescharacteristic
336C4×C59—22no—
337C4×C59—22no—
338C4×C59—41no—
339C4×C59—41no—
340C4×C59—42no—
341C4×C59—81no—
342C4×C59—81no—
343C4×C59#52511yescharacteristic
344C4×C59#53911yescharacteristic
345C4×C59#54811yescharacteristic
346C4×C59#55311yescharacteristic
347Dic59—42no—
348Dic59—81no—
349Dic59—81no—
350Dic59—81no—
351C2×#482—591no—
352C2×#428—591no—
353#2416D5911yescharacteristic
354#2354—591no—
355#2093—591no—
356#2083—591no—
357#2076—591no—
358#2033—591no—
359#1926—591no—
360#1919—591no—
361#1895—591no—
362#1875—591no—
363#1870—591no—
364#1854—591no—
365#1852—591no—
366C2×C59—42no—
367C2×C59—81no—
368C2×C59—161no—
369C2×C59#244311yescharacteristic
370C2×C59#309411yescharacteristic
371C2×C59#309811yescharacteristic
372C2×C59#326911yescharacteristic
373C2×C59#327411yescharacteristic
374C2×C59#334711yescharacteristic
375C2×C59#335311yescharacteristic
376C22×M16—591no—
377C2×#121—21no—
378C2×#121C2×D5911yescharacteristic
379C2×#121C2×D5911yescharacteristic
380C2×C4×D4C2×D5911yescharacteristic
381C2×#117—591no—
382C2×#117—591no—
383C22×C4⋊C4C2×D5911yescharacteristic
384#482—1184no—
385#428—1184no—
386C2×#107—591no—
387C2×#107—591no—
388C2×#107—591no—
389C2×#107—591no—
390C2×#106—591no—
391C2×#106—591no—
392C2×#102—591no—
393C2×#102—591no—
394C2×#102—591no—
395C2×#102—591no—
396C2×C22⋊C8—591no—
397C2×C22⋊C8—591no—
398C2×C22⋊C8—591no—
399#396—21no—
400#394—21no—
401#390—1181no—
402#390C2×D5911yescharacteristic
403#389C2×D5911yescharacteristic
404#388—1181no—
405#388—1181no—
406#386—21no—
407#384—591no—
408#380—591no—
409#380—591no—
410#380C2×D5911yescharacteristic
411C4×C4⋊C4—591no—
412C4×C4⋊C4—1181no—
413#340—591no—
414#340—591no—
415#340—591no—
416#340—591no—
417#340—591no—
418#340—591no—
419#336—591no—
420#336—591no—
421C59#2615711yescharacteristic, complemented, Sylow
422C22×D4—21no—
423C22×D4—21no—
424C22×D4C22⋊D5911yescharacteristic
425C22×D4C22×D5911yescharacteristic
426C23×C4—21no—
427C23×C4C22×D5911yescharacteristic
428C23×C4C22×D5911yescharacteristic
429C2×M16—1182no—
430C2×M16—1182no—
431C2×M16—1182no—
432C22×C8—591no—
433C22×C8—591no—
434C22×C8—591no—
435C22×C8—591no—
436#121—22no—
437#121—22no—
438#121—22no—
439#121—41no—
440#121—44no—
441C4×D4—22no—
442C4×D4—22no—
443#117—1182no—
444#117—1182no—
445#117—2361no—
446#117—2361no—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—41no—
451C2×C4⋊C4—591no—
452C2×C4⋊C4—591no—
453C2×C4⋊C4—591no—
454C2×C4⋊C4—591no—
455C2×C4⋊C4—1181no—
456C2×C4⋊C4—1181no—
457C2×C4⋊C4C22⋊D5911yescharacteristic
458C2×C4⋊C4C22×D5911yescharacteristic
459C2×C4⋊C4C22×D5911yescharacteristic
460C2×C4⋊C4C22×D5911yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—1181no—
467C2×C22⋊C4—1181no—
468C2×C22⋊C4—1181no—
469C2×C22⋊C4—1181no—
470C2×C22⋊C4C22⋊D5911yescharacteristic
471C2×C22⋊C4C22⋊D5911yescharacteristic
472C2×C42—1181no—
473C2×C42—1181no—
474C2×C42—1181no—
475C2×C42C22×D5911yescharacteristic
476#107—1182no—
477#107—1182no—
478#107—1182no—
479#107—2361no—
480#106—594no—
481#106—1182no—
482#102—1182no—
483#102—1182no—
484#102—1182no—
485#102—2361no—
486C22⋊C8—1182no—
487C22⋊C8—1182no—
488C22⋊C8—1182no—
489#95—21no—
490#95—21no—
491#95—1181no—
492#95—1181no—
493#95—1181no—
494C24—21no—
495C24C2×C22⋊D5911yescharacteristic
496C24C2×C22⋊D5911yescharacteristic
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—41no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—81no—
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—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—81no—
528C22×C4—1181no—
529C22×C4—1181no—
530C22×C4—1181no—
531C22×C4—1181no—
532C22×C4#1174568712yes—
533C22×C4#1174568712yes—
534C22×C4C2×C22⋊D5911yescharacteristic
535C22×C4C2×C22⋊D5911yescharacteristic
536C22×C4C2×C22⋊D5911yescharacteristic
537C22×C4C2×C22⋊D5911yescharacteristic
538C22×C4C23×D5911yescharacteristic
539M16—1188no—
540C2×C8—592no—
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—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—592no—
561C4⋊C4—1181no—
562C4⋊C4—1181no—
563C4⋊C4—1181no—
564C4⋊C4—1181no—
565C4⋊C4—1181no—
566C4⋊C4—1181no—
567C4⋊C4—1181no—
568C4⋊C4—4721no—
569C4⋊C4—2362no—
570C4⋊C4D4×D5912yes—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—81no—
578C22⋊C4—4721no—
579C22⋊C4—4721no—
580C22⋊C4—2362no—
581C22⋊C4—2362no—
582C42—21no—
583C42—21no—
584C42—2362no—
585C42—2362no—
586C42—2362no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23#1427370812yes—
608C23C22×C22⋊D5911yescharacteristic
609D4—44no—
610D4—41no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—84no—
615D4—84no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—84no—
644C2×C4—1182no—
645C2×C4—2361no—
646C2×C4—2361no—
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#1427370812yes—
657C2×C4#1427375312yes—
658C2×C4C2×D4×D5911yescharacteristic
659C2×C4#41×D5911yescharacteristic
660C2×C4C2×#1174568711yescharacteristic
661C2×C4C2×#1174568711yescharacteristic
662C2×C4#1427377211yescharacteristic
663C2×C4#1427377411yescharacteristic
664C8—1182no—
665C8—1182no—
666C8—2361no—
667C8—2361no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22C2×#1427370811yescharacteristic
690C22D4×C22⋊D5911yescharacteristic
691C22#1683805111yescharacteristic
692C22C2×#1427375311yescharacteristic
693C22#1683820011yescharacteristic
694C22#1683820511yescharacteristic
695C22#1683821711yescharacteristic
696C4—22no—
697C4—22no—
698C4—42no—
699C4—41no—
700C4—41no—
701C4—81no—
702C4—81no—
703C4—4721no—
704C4—4721no—
705C4—4721no—
706C4—2362no—
707C4#1683791211yescharacteristic
708C4#1683799711yescharacteristic
709C4#1683805811yescharacteristic
710C4#1683809511yescharacteristic
711C2—42no—
712C2—81no—
713C2—161no—
714C2#2142782711yescharacteristic
715C2#2143403211yescharacteristic
716C2#2143407011yescharacteristic
717C2#2143565211yescharacteristic
718C2#2143571211yescharacteristic
719C2#2143659011yescharacteristic
720C2#2143668011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
Fitting, prime radicalC59×#2416C2
socleC23×C59C22×D4
hypercenter#2416D59
hypocenterC59#26157
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2416

Complements

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

NH ≅ G/Ntype
1. C2×#16837723C2semidirect
2. C2×#16837442C2semidirect
3. #21427045C2semidirect
4. #21425624C2semidirect
5. #21425567C2semidirect
6. #21425527C2semidirect
7. #21425275C2semidirect
8. #21424720C2semidirect
9. #21424671C2semidirect
10. #21424535C2semidirect
11. #21424419C2semidirect
12. #21424394C2semidirect
13. #21424293C2semidirect
14. #21424284C2semidirect
90. #14273658D4semidirect
421. C59#26157semidirect

Maximal subgroups

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

subgroupindex
C2×#168377232
C2×#168374422
#214270452
#214256242
#214255672
#214255272
#214252752
#214247202
#214246712
#214245352
#214244192
#214243942
#214242932
#214242842
C59×#24162
#2615759