Finite Group Databasebeta

← #27428057

Subgroups — #27428057

Order 13568.

958 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×#16810785C211yesmaximal, characteristic
2C2×C4×#11719925C211yesmaximal, characteristic, complemented
3#20278218C211yesmaximal, characteristic, complemented
4#20276236C211yesmaximal, characteristic, complemented
5#20276146C211yesmaximal, characteristic, complemented
6#20276032C211yesmaximal, characteristic, complemented
7#20275911C211yesmaximal, characteristic, complemented
8#20275401C211yesmaximal, characteristic, complemented
9#20275323C211yesmaximal, characteristic, complemented
10#20275073C211yesmaximal, characteristic, complemented
11#20275056C211yesmaximal, characteristic, complemented
12#20274983C211yesmaximal, characteristic, complemented
13#20274730C211yesmaximal, characteristic, complemented
14#20274655C211yesmaximal, characteristic
15C53×#2341C211yesmaximal, characteristic
16C22×#11719925C2211yescharacteristic
17C22×#11719923C2211yescharacteristic
18C2×#13133196C2211yescharacteristic
19C2×C4×Dic106C2211yescharacteristic
20#16810785—24no—
21C4×#11719925—24no—
22C2×#13133150C2211yescharacteristic
23C2×#13133148C2211yescharacteristic
24C2×C4⋊#88322C2211yescharacteristic
25C2×#13133141C2211yescharacteristic
26C2×#13133141C2211yescharacteristic
27C2×#13133141C2211yescharacteristic
28C2×#13133140C2211yescharacteristic
29C2×#13133140C2211yescharacteristic
30C2×#13133138C2211yescharacteristic
31C2×#13133138C2211yescharacteristic
32C2×#13133138C2211yescharacteristic
33C2×C22⋊#88322C2211yescharacteristic
34C2×C22⋊#88322C2211yescharacteristic
35C2×C4×#88322C2211yescharacteristic
36#16810564—21no—
37#16810551—21no—
38#16810529C2211yescharacteristic
39#16810521C2211yescharacteristic
40#16810517—21no—
41#16810505—21no—
42#16810489C2211yescharacteristic
43#16810483C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810378C2211yescharacteristic
49#16810378C2211yescharacteristic
50C22×#41×C53C2211yescharacteristic
51C2×C4×Q8×C53C2211yescharacteristic
52C2×C4×Q8×C53C2211yescharacteristic
53C53×#390—21no—
54C53×#390—21no—
55C53×#390C2211yescharacteristic
56C53×#390C2211yescharacteristic
57C53×#380—21no—
58C53×#380C2211yescharacteristic
59C4×C22⋊C4×C53—21no—
60C4×C22⋊C4×C53C2211yescharacteristic
61C22×Dic106C2311yescharacteristic
62C2×#11719925—22no—
63C2×#11719925—22no—
64C2×#11719925D414yes—
65C2×#11719923—22no—
66C2×#11719923—22no—
67C2×#11719923—41no—
68C22×#88322C2311yescharacteristic
69C22×#88322C2311yescharacteristic
70C22×#88322C2311yescharacteristic
71C22×#88322C2311yescharacteristic
72#13133196—22no—
73#13133196—41no—
74C4×Dic106—22no—
75C4×Dic106—41no—
76C2×C4⋊Dic53C2311yescharacteristic
77C2×C4⋊Dic53C2311yescharacteristic
78C2×C4⋊Dic53C2311yescharacteristic
79C2×#11719919—21no—
80C2×#11719919—21no—
81C2×#11719919—21no—
82C2×C22⋊Dic53—21no—
83C2×C22⋊Dic53—21no—
84C2×C4×Dic53—21no—
85#13133150—22no—
86#13133148—41no—
87C4⋊#88322—41no—
88#13133141—22no—
89#13133141—22no—
90#13133141—22no—
91#13133140—22no—
92#13133140—41no—
93#13133138—22no—
94#13133138—22no—
95#13133138—41no—
96C22⋊#88322—22no—
97C22⋊#88322—41no—
98C4×#88322—22no—
99#13133124—21no—
100#13133124—21no—
101#13133124—21no—
102#13133124—21no—
103#13133124—21no—
104#13133124—21no—
105C2×#41×C53—22no—
106C2×#41×C53—22no—
107C2×#41×C53—22no—
108C2×#41×C53—22no—
109C2×#41×C53—41no—
110C2×#41×C53—41no—
111C22×Q8×C53C2311yescharacteristic
112C22×D4×C53—21no—
113C22×D4×C53C2311yescharacteristic
114C23×C4×C53—21no—
115C23×C4×C53C2311yescharacteristic
116C4×Q8×C53—22no—
117C4×Q8×C53—22no—
118C4×Q8×C53—41no—
119C4×Q8×C53—41no—
120C2×C4⋊C4×C53—21no—
121C2×C4⋊C4×C53—21no—
122C2×C4⋊C4×C53C2311yescharacteristic
123C2×C4⋊C4×C53C2311yescharacteristic
124C2×C22⋊C4×C53—21no—
125C2×C22⋊C4×C53—21no—
126C2×C22⋊C4×C53—21no—
127C2×C22⋊C4×C53—21no—
128C2×C22⋊C4×C53—21no—
129C2×C22⋊C4×C53D411yescharacteristic
130C2×C22⋊C4×C53D411yescharacteristic
131C2×C42×C53—21no—
132C2×C42×C53—21no—
133C2×C42×C53C2311yescharacteristic
134C2×C42×C53C2311yescharacteristic
135#95×C53—21no—
136#95×C53D411yescharacteristic
137#95×C53D411yescharacteristic
138C24×C53—21no—
139C24×C53C2×D411yescharacteristic
140#41×C53—44no—
141#41×C53—44no—
142#41×C53—44no—
143#41×C53—44no—
144C2×Q8×C53—21no—
145C2×Q8×C53—21no—
146C2×Q8×C53—21no—
147C2×Q8×C53C2×D412yes—
148C2×Q8×C53#4112yes—
149C2×Q8×C53#4112yes—
150C2×D4×C53—24no—
151C2×D4×C53—21no—
152C2×D4×C53—21no—
153C2×D4×C53—21no—
154C2×D4×C53—21no—
155C2×D4×C53—21no—
156C2×D4×C53—42no—
157C2×D4×C53—42no—
158C2×D4×C53#4112yes—
159C22×C4×C53—21no—
160C22×C4×C53—24no—
161C22×C4×C53—21no—
162C22×C4×C53—21no—
163C22×C4×C53—21no—
164C22×C4×C53—21no—
165C22×C4×C53—21no—
166C22×C4×C53—21no—
167C22×C4×C53—21no—
168C22×C4×C53—21no—
169C22×C4×C53—42no—
170C22×C4×C53—42no—
171C22×C4×C53C2×D411yescharacteristic
172C22×C4×C53C2×D411yescharacteristic
173C22×C4×C53C2×D411yescharacteristic
174C22×C4×C53C2×D411yescharacteristic
175C22×C4×C53C2×D411yescharacteristic
176C22×C4×C53C2411yescharacteristic
177C22×Dic53—21no—
178C22×Dic53—21no—
179C22×Dic53—21no—
180C22×Dic53—21no—
181C2×Dic106—21no—
182C2×Dic106—21no—
183C2×Dic106—21no—
184C2×Dic106—21no—
185C2×Dic106—21no—
186C2×Dic106C2×D412yes—
187C4⋊C4×C53—21no—
188C4⋊C4×C53—21no—
189C4⋊C4×C53—21no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—42no—
192C4⋊C4×C53—42no—
193C22⋊C4×C53—22no—
194C22⋊C4×C53—41no—
195C22⋊C4×C53—42no—
196C22⋊C4×C53—42no—
197C22⋊C4×C53—81no—
198C22⋊C4×C53—81no—
199C22⋊C4×C53—81no—
200C42×C53—21no—
201C42×C53—21no—
202C42×C53—21no—
203C42×C53—21no—
204C42×C53—42no—
205C42×C53—42no—
206C22⋊Dic53—42no—
207C22⋊Dic53—42no—
208#11719925—28no—
209#11719923—44no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53—21no—
213C4⋊Dic53—21no—
214C4⋊Dic53—21no—
215C4⋊Dic53—21no—
216#11719919—42no—
217#11719919—42no—
218#11719919—42no—
219C4×Dic53—42no—
220C2×#88322—21no—
221C2×#88322—21no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322—21no—
227C2×#88322—21no—
228C2×#88322—21no—
229C2×#88322—21no—
230C2×#88322—21no—
231C2×#88322C2×D412yes—
232C23×C53—21no—
233C23×C53—22no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—21no—
239C23×C53—21no—
240C23×C53—41no—
241C23×C53—41no—
242C23×C53—41no—
243C23×C53—41no—
244C23×C53—41no—
245C23×C53—41no—
246C23×C53C22×D411yescharacteristic
247Q8×C53—22no—
248Q8×C53—22no—
249Q8×C53—22no—
250Q8×C53#12314yes—
251D4×C53—22no—
252D4×C53—22no—
253D4×C53—48no—
254D4×C53—41no—
255D4×C53—41no—
256C2×C4×C53—22no—
257C2×C4×C53—22no—
258C2×C4×C53—21no—
259C2×C4×C53—22no—
260C2×C4×C53—21no—
261C2×C4×C53—21no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
264C2×C4×C53—21no—
265C2×C4×C53—21no—
266C2×C4×C53—21no—
267C2×C4×C53—21no—
268C2×C4×C53—21no—
269C2×C4×C53—21no—
270C2×C4×C53—21no—
271C2×C4×C53—21no—
272C2×C4×C53—21no—
273C2×C4×C53—48no—
274C2×C4×C53—41no—
275C2×C4×C53—41no—
276C2×C4×C53—41no—
277C2×C4×C53—41no—
278C2×C4×C53—41no—
279C2×C4×C53—41no—
280C2×C4×C53—41no—
281C2×C4×C53—41no—
282C2×C4×C53—41no—
283C2×C4×C53—41no—
284C2×C4×C53#13512yes—
285C2×C4×C53C22×D411yescharacteristic
286C2×C4×C53C2×#4111yescharacteristic
287C2×C4×C53C2×#4111yescharacteristic
288C2×C4×C53C2×#4111yescharacteristic
289C2×C4×C53H(5,𝔽2)11yescharacteristic
290C2×C4×C53H(5,𝔽2)11yescharacteristic
291C2×Dic53—22no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297C2×Dic53—41no—
298C2×Dic53—41no—
299C2×Dic53—41no—
300C2×Dic53—41no—
301C2×Dic53—41no—
302C2×Dic53—41no—
303Dic106—22no—
304Dic106—22no—
305Dic106—41no—
306Dic106—41no—
307#88322—22no—
308#88322—41no—
309#88322—41no—
310#88322—41no—
311#24908—531nomaximal, Sylow
312C22×C53—41no—
313C22×C53—42no—
314C22×C53—41no—
315C22×C53—42no—
316C22×C53—42no—
317C22×C53—41no—
318C22×C53—41no—
319C22×C53—41no—
320C22×C53—41no—
321C22×C53—41no—
322C22×C53—81no—
323C22×C53—81no—
324C22×C53—81no—
325C22×C53—81no—
326C22×C53#52511yescharacteristic
327C22×C53D4211yescharacteristic
328C22×C53#54611yescharacteristic
329C22×C53C2×#13511yescharacteristic
330C22×C53#57511yescharacteristic
331C22×C53#57711yescharacteristic
332C22×C53#57811yescharacteristic
333C4×C53—24no—
334C4×C53—22no—
335C4×C53—41no—
336C4×C53—41no—
337C4×C53—41no—
338C4×C53—41no—
339C4×C53—81no—
340C4×C53—81no—
341C4×C53C2×#12311yescharacteristic
342C4×C53#53811yescharacteristic
343C4×C53#54611yescharacteristic
344C4×C53#55111yescharacteristic
345Dic53—42no—
346Dic53—81no—
347Dic53—81no—
348Dic53—81no—
349C2×#452—531no—
350C2×C4×Q16—531no—
351#2421—531no—
352#2341D5311yescharacteristic
353#2092—531no—
354#2076—531no—
355#2055—531no—
356#2035—531no—
357#1934—531no—
358#1923—531no—
359#1880—531no—
360#1878—531no—
361#1865—531no—
362#1805—531no—
363#1788—531no—
364C2×C53—81no—
365C2×C53—82no—
366C2×C53#241811yescharacteristic
367C2×C53#310211yescharacteristic
368C2×C53#312011yescharacteristic
369C2×C53#327111yescharacteristic
370C2×C53#328511yescharacteristic
371C2×C53#330411yescharacteristic
372C2×C53#332711yescharacteristic
373C22×#41C2×D5311yescharacteristic
374C22×Q16—531no—
375C22×SD16—531no—
376C2×C22⋊Q8—531no—
377C2×C4×Q8—531no—
378C2×C4×Q8C2×D5311yescharacteristic
379C2×C4×Q8C2×D5311yescharacteristic
380#452—1064no—
381C4×Q16—1064no—
382C2×#107—531no—
383C2×#106—531no—
384C2×C4⋊C8—531no—
385C2×#103—531no—
386C2×#103—531no—
387C2×#103—531no—
388C2×#103—531no—
389C2×#103—531no—
390C2×#102—531no—
391C2×#102—531no—
392C2×#102—531no—
393C2×C22⋊C8—531no—
394C2×C22⋊C8—531no—
395C2×C4×C8—531no—
396#400—1061no—
397#397—1061no—
398#391—531no—
399#390—21no—
400#390—21no—
401#390C2×D5311yescharacteristic
402#390C2×D5311yescharacteristic
403#389—531no—
404#388—1061no—
405#387—1061no—
406#382—531no—
407#380—21no—
408#380—531no—
409#380C2×D5311yescharacteristic
410C4×C22⋊C4—21no—
411C4×C22⋊C4C2×D5311yescharacteristic
412#340—531no—
413#340—531no—
414#340—531no—
415#340—531no—
416#336—531no—
417#336—531no—
418C53#2490811yescharacteristic, complemented, Sylow
419C2×#41—22no—
420C2×#41—22no—
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—41no—
424C2×#41—41no—
425C22×Q8—531no—
426C22×Q8C22×D5311yescharacteristic
427C22×D4—21no—
428C22×D4C22×D5311yescharacteristic
429C23×C4—21no—
430C23×C4C22×D5311yescharacteristic
431C2×Q16—534no—
432C2×Q16—1062no—
433C2×Q16—1062no—
434C2×SD16—1062no—
435C2×SD16—1062no—
436C2×SD16—2121no—
437C22×C8—531no—
438C22×C8—531no—
439C22×C8—531no—
440C22×C8—531no—
441C22⋊Q8—1062no—
442C22⋊Q8—2121no—
443C4×Q8—22no—
444C4×Q8—22no—
445C4×Q8—41no—
446C4×Q8—41no—
447C4×Q8—1062no—
448C4×Q8—2121no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—531no—
452C2×C4⋊C4—531no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—1061no—
455C2×C4⋊C4—1061no—
456C2×C4⋊C4—1061no—
457C2×C4⋊C4C22×D5311yescharacteristic
458C2×C4⋊C4C22×D5311yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—1061no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4C22⋊D5311yescharacteristic
467C2×C22⋊C4C22⋊D5311yescharacteristic
468C2×C42—21no—
469C2×C42—21no—
470C2×C42—1061no—
471C2×C42C22×D5311yescharacteristic
472C2×C42C22×D5311yescharacteristic
473#107—1062no—
474#106—2121no—
475C4⋊C8—2121no—
476#103—1062no—
477#103—1062no—
478#103—1062no—
479#103—1062no—
480#103—2121no—
481#102—1062no—
482#102—1062no—
483#102—2121no—
484C22⋊C8—1062no—
485C22⋊C8—2121no—
486C4×C8—1062no—
487#95—21no—
488#95—1061no—
489#95—1061no—
490#95—1061no—
491#95—1061no—
492#95—1061no—
493#95—1061no—
494#95C22⋊D5311yescharacteristic
495#95C22⋊D5311yescharacteristic
496C24—21no—
497C24C2×C22⋊D5311yescharacteristic
498#41—44no—
499#41—44no—
500#41—44no—
501#41—44no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—532no—
506C2×Q8—1061no—
507C2×Q8—1061no—
508C2×Q8—1061no—
509C2×Q8—1061no—
510C2×Q8—1061no—
511C2×Q8#1171994512yes—
512C2×Q8D4×D5312yes—
513C2×Q8#1171994712yes—
514C2×D4—24no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4#1171994512yes—
523C22×C4—21no—
524C22×C4—24no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—1061no—
536C22×C4—1061no—
537C22×C4—1061no—
538C22×C4—1061no—
539C22×C4C2×C22⋊D5311yescharacteristic
540C22×C4C2×C22⋊D5311yescharacteristic
541C22×C4C2×C22⋊D5311yescharacteristic
542C22×C4C2×C22⋊D5311yescharacteristic
543C22×C4C2×C22⋊D5311yescharacteristic
544C22×C4C23×D5311yescharacteristic
545Q16—1068no—
546SD16—2124no—
547C2×C8—532no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8—1061no—
551C2×C8—1061no—
552C2×C8—1061no—
553C2×C8—1061no—
554C2×C8—1061no—
555C2×C8—1061no—
556C2×C8—1061no—
557C2×C8—1061no—
558C2×C8—1061no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—1061no—
566C4⋊C4—1061no—
567C4⋊C4—1061no—
568C4⋊C4—1061no—
569C4⋊C4—1061no—
570C4⋊C4—1061no—
571C4⋊C4—2122no—
572C4⋊C4—2122no—
573C4⋊C4—2122no—
574C22⋊C4—22no—
575C22⋊C4—41no—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—81no—
579C22⋊C4—81no—
580C22⋊C4—81no—
581C22⋊C4—2122no—
582C22⋊C4—2122no—
583C42—21no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—42no—
588C42—42no—
589C42—2122no—
590C23—21no—
591C23—21no—
592C23—22no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23C22×C22⋊D5311yescharacteristic
605Q8—22no—
606Q8—22no—
607Q8—22no—
608Q8—1062no—
609Q8—1062no—
610Q8—2121no—
611Q8—2121no—
612Q8#1313319914yes—
613D4—22no—
614D4—22no—
615D4—48no—
616D4—41no—
617D4—41no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—48no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—1062no—
647C2×C4—2121no—
648C2×C4—2121no—
649C2×C4—2121no—
650C2×C4—2121no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4—2121no—
655C2×C4—2121no—
656C2×C4—2121no—
657C2×C4—2121no—
658C2×C4#1313323712yes—
659C2×C4C2×D4×D5311yescharacteristic
660C2×C4C2×#1171994711yescharacteristic
661C2×C4C2×#1171994511yescharacteristic
662C2×C4C2×#1171994511yescharacteristic
663C2×C4#1313326211yescharacteristic
664C2×C4#1313326211yescharacteristic
665C8—1062no—
666C8—2121no—
667C8—2121no—
668C8—2121no—
669C22—41no—
670C22—42no—
671C22—41no—
672C22—41no—
673C22—42no—
674C22—41no—
675C22—42no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22#1681113411yescharacteristic
684C22D4×C22⋊D5311yescharacteristic
685C22#1681126711yescharacteristic
686C22C2×#1313323711yescharacteristic
687C22#1681142111yescharacteristic
688C22#1681143411yescharacteristic
689C22#1681143811yescharacteristic
690C4—24no—
691C4—22no—
692C4—41no—
693C4—41no—
694C4—41no—
695C4—41no—
696C4—81no—
697C4—81no—
698C4—4241no—
699C4—4241no—
700C4—4241no—
701C4—2122no—
702C4C2×#1313319911yescharacteristic
703C4#1681121111yescharacteristic
704C4#1681126311yescharacteristic
705C4#1681129911yescharacteristic
706C2—81no—
707C2—82no—
708C2#2027817711yescharacteristic
709C2#2028473311yescharacteristic
710C2#2028492911yescharacteristic
711C2#2028629611yescharacteristic
712C2#2028645211yescharacteristic
713C2#2028665411yescharacteristic
714C2#2028698311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2341C2
socleC23×C53C22×D4
prime radicalC22×#41×C53C22
hypercenter#2341D53
hypocenterC53#24908
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2341

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11719925C2semidirect
3. #20278218C2semidirect
4. #20276236C2semidirect
5. #20276146C2semidirect
6. #20276032C2semidirect
7. #20275911C2semidirect
8. #20275401C2semidirect
9. #20275323C2semidirect
10. #20275073C2semidirect
11. #20275056C2semidirect
12. #20274983C2semidirect
13. #20274730C2semidirect
418. C53#24908semidirect

Maximal subgroups

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

subgroupindex
C2×#168107852
C2×C4×#117199252
#202782182
#202762362
#202761462
#202760322
#202759112
#202754012
#202753232
#202750732
#202750562
#202749832
#202747302
#202746552
C53×#23412
#2490853