Finite Group Databasebeta

← #27434355

Subgroups — #27434355

Order 13568.

904 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810903C211yesmaximal, characteristic, complemented
2C2×#16810695C211yesmaximal, characteristic, complemented
3#20279888C211yesmaximal, characteristic, complemented
4#20276146C211yesmaximal, characteristic, complemented
5#20276141C211yesmaximal, characteristic, complemented
6#20275901C211yesmaximal, characteristic, complemented
7#20275894C211yesmaximal, characteristic, complemented
8#20275687C211yesmaximal, characteristic, complemented
9#20275481C211yesmaximal, characteristic, complemented
10#20275154C211yesmaximal, characteristic, complemented
11#20275144C211yesmaximal, characteristic, complemented
12#20274746C211yesmaximal, characteristic, complemented
13#20274742C211yesmaximal, characteristic, complemented
14#20274540C211yesmaximal, characteristic, complemented
15C53×#2535C211yesmaximal, characteristic
16C22×#11719917C2211yescharacteristic
17C23×#88322C2211yescharacteristic
18C2×#13133217C2211yescharacteristic
19#16810903—24no—
20#16810695—24no—
21C2×#13133150C2211yescharacteristic
22C2×#13133150C2211yescharacteristic
23C2×#13133150C2211yescharacteristic
24C2×#13133148C2211yescharacteristic
25C2×C4⋊#88322C2211yescharacteristic
26C2×#13133138C2211yescharacteristic
27C2×#13133138C2211yescharacteristic
28C2×#13133138C2211yescharacteristic
29C2×#13133138C2211yescharacteristic
30C2×C22⋊#88322C2211yescharacteristic
31C2×C22⋊#88322C2211yescharacteristic
32C2×#13133128C2211yescharacteristic
33#16810535—21no—
34#16810535—21no—
35#16810526—21no—
36#16810488—21no—
37#16810483C2211yescharacteristic
38#16810483C2211yescharacteristic
39#16810483C2211yescharacteristic
40#16810483C2211yescharacteristic
41C4×C4⋊Dic53C2211yescharacteristic
42#16810385C2211yescharacteristic
43#16810385C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810385C2211yescharacteristic
49#16810385C2211yescharacteristic
50C2×#121×C53C2211yescharacteristic
51C2×#121×C53C2211yescharacteristic
52C2×C4×D4×C53C2211yescharacteristic
53C2×C4×D4×C53C2211yescharacteristic
54C53×#397—21no—
55C53×#392—21no—
56C53×#386—21no—
57C53×#386—21no—
58C53×#382C2211yescharacteristic
59C53×#380C2211yescharacteristic
60C53×#380C2211yescharacteristic
61C22×Dic106—21no—
62C2×#11719917—22no—
63C2×#11719917—22no—
64C2×#11719917—41no—
65C22×#88322—22no—
66C22×#88322—22no—
67C22×#88322—41no—
68C22×#88322C2311yescharacteristic
69C22×#88322C2311yescharacteristic
70C22×#88322C2311yescharacteristic
71C22×#88322C2311yescharacteristic
72#13133217—22no—
73#13133217—22no—
74C2×C4⋊Dic53—21no—
75C2×C4⋊Dic53C2311yescharacteristic
76C2×C4⋊Dic53C2311yescharacteristic
77C2×C4⋊Dic53C2311yescharacteristic
78C2×C4⋊Dic53C2311yescharacteristic
79C2×C22⋊Dic53—21no—
80C2×C22⋊Dic53—21no—
81C2×C22⋊Dic53—21no—
82C2×C22⋊Dic53—21no—
83C2×C4×Dic53—21no—
84#13133150—22no—
85#13133150—22no—
86#13133150—41no—
87#13133148—41no—
88C4⋊#88322D414yescomplemented
89#13133138—22no—
90#13133138—22no—
91#13133138—22no—
92#13133138—22no—
93C22⋊#88322—22no—
94C22⋊#88322—22no—
95#13133128—22no—
96#13133124—21no—
97#13133124—21no—
98#13133124—21no—
99#13133124—21no—
100#13133124—21no—
101C22×D4×C53—21no—
102C22×D4×C53—21no—
103C22×D4×C53D411yescharacteristic
104C22×D4×C53C2311yescharacteristic
105C23×C4×C53—21no—
106C23×C4×C53C2311yescharacteristic
107C23×C4×C53C2311yescharacteristic
108#121×C53—22no—
109#121×C53—22no—
110#121×C53—41no—
111#121×C53—41no—
112C4×D4×C53—22no—
113C4×D4×C53—22no—
114C4×D4×C53—22no—
115C4×D4×C53—22no—
116C2×C4⋊C4×C53D411yescharacteristic
117C2×C4⋊C4×C53C2311yescharacteristic
118C2×C4⋊C4×C53C2311yescharacteristic
119C2×C4⋊C4×C53C2311yescharacteristic
120C2×C22⋊C4×C53—21no—
121C2×C22⋊C4×C53—21no—
122C2×C22⋊C4×C53—21no—
123C2×C22⋊C4×C53—21no—
124C2×C22⋊C4×C53—21no—
125C2×C22⋊C4×C53D411yescharacteristic
126C2×C22⋊C4×C53D411yescharacteristic
127C2×C42×C53C2311yescharacteristic
128#95×C53—21no—
129#95×C53—21no—
130#95×C53—21no—
131#95×C53—21no—
132C24×C53—21no—
133C24×C53C2×D411yescharacteristic
134C24×C53C2×D411yescharacteristic
135C2×D4×C53—22no—
136C2×D4×C53—22no—
137C2×D4×C53—21no—
138C2×D4×C53—21no—
139C2×D4×C53—21no—
140C2×D4×C53—21no—
141C2×D4×C53—21no—
142C2×D4×C53—41no—
143C2×D4×C53—42no—
144C2×D4×C53—42no—
145C2×D4×C53—42no—
146C2×D4×C53—42no—
147C2×D4×C53—81no—
148C2×D4×C53—81no—
149C2×D4×C53#4112yes—
150C22×C4×C53—21no—
151C22×C4×C53—21no—
152C22×C4×C53—21no—
153C22×C4×C53—21no—
154C22×C4×C53—21no—
155C22×C4×C53—21no—
156C22×C4×C53—21no—
157C22×C4×C53—21no—
158C22×C4×C53—21no—
159C22×C4×C53—21no—
160C22×C4×C53—21no—
161C22×C4×C53—21no—
162C22×C4×C53—21no—
163C22×C4×C53—21no—
164C22×C4×C53—21no—
165C22×C4×C53—42no—
166C22×C4×C53—81no—
167C22×C4×C53—81no—
168C22×C4×C53C2×D411yescharacteristic
169C22×C4×C53C2×D411yescharacteristic
170C22×C4×C53C2×D411yescharacteristic
171C22×C4×C53C2×D411yescharacteristic
172C22×C4×C53C2411yescharacteristic
173C22×Dic53—21no—
174C22×Dic53—21no—
175C22×Dic53—21no—
176C22×Dic53—21no—
177C2×Dic106—42no—
178C2×Dic106—81no—
179C2×Dic106—81no—
180C4⋊C4×C53—22no—
181C4⋊C4×C53—21no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—21no—
187C22⋊C4×C53—22no—
188C22⋊C4×C53—22no—
189C22⋊C4×C53—42no—
190C22⋊C4×C53—42no—
191C22⋊C4×C53—42no—
192C22⋊C4×C53—81no—
193C22⋊C4×C53—81no—
194C42×C53C2×D412yes—
195C42×C53#4112yes—
196C22⋊Dic53—81no—
197C22⋊Dic53—81no—
198C22⋊Dic53—81no—
199C22⋊Dic53—81no—
200C4⋊Dic53—21no—
201C4⋊Dic53—21no—
202C4⋊Dic53—21no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—42no—
209C4×Dic53—42no—
210#11719917—44no—
211C2×#88322—21no—
212C2×#88322—21no—
213C2×#88322—21no—
214C2×#88322—21no—
215C2×#88322—21no—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322—21no—
219C2×#88322—21no—
220C2×#88322—44no—
221C2×#88322C2×D412yes—
222C2×#88322C2×D412yes—
223C2×#88322#4112yes—
224C23×C53—21no—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53—21no—
232C23×C53—22no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—41no—
239C23×C53—41no—
240C23×C53—41no—
241C23×C53—41no—
242C23×C53—41no—
243C23×C53—41no—
244C23×C53#13712yes—
245C23×C53C22×D411yescharacteristic
246D4×C53—22no—
247D4×C53—22no—
248D4×C53—44no—
249D4×C53—41no—
250D4×C53—41no—
251D4×C53—84no—
252D4×C53—84no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—21no—
256C2×C4×C53—21no—
257C2×C4×C53—21no—
258C2×C4×C53—21no—
259C2×C4×C53—21no—
260C2×C4×C53—21no—
261C2×C4×C53—21no—
262C2×C4×C53—21no—
263C2×C4×C53—41no—
264C2×C4×C53—41no—
265C2×C4×C53—41no—
266C2×C4×C53—41no—
267C2×C4×C53—41no—
268C2×C4×C53—41no—
269C2×C4×C53—41no—
270C2×C4×C53—41no—
271C2×C4×C53—41no—
272C2×C4×C53—41no—
273C2×C4×C53—41no—
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—84no—
281C2×C4×C53#12112yes—
282C2×C4×C53#12112yes—
283C2×C4×C53C22×D411yescharacteristic
284C2×C4×C53C2×#4111yescharacteristic
285C2×C4×C53C2×#4111yescharacteristic
286C2×C4×C53C2×#4111yescharacteristic
287C2×C4×C53H(5,𝔽2)11yescharacteristic
288C2×C4×C532−1+411yescharacteristic
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
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—
301Dic106—84no—
302#88322—22no—
303#88322—22no—
304#88322—22no—
305#88322—41no—
306#25350—531nomaximal, Sylow
307C22×C53—22no—
308C22×C53—22no—
309C22×C53—22no—
310C22×C53—41no—
311C22×C53—41no—
312C22×C53—41no—
313C22×C53—41no—
314C22×C53—41no—
315C22×C53—41no—
316C22×C53—41no—
317C22×C53—42no—
318C22×C53—41no—
319C22×C53—41no—
320C22×C53—42no—
321C22×C53—41no—
322C22×C53—41no—
323C22×C53—42no—
324C22×C53—81no—
325C22×C53—81no—
326C22×C53—81no—
327C22×C53—81no—
328C22×C53C2×#12111yescharacteristic
329C22×C53#54611yescharacteristic
330C22×C53#54711yescharacteristic
331C22×C53C2×#13711yescharacteristic
332C22×C53#57511yescharacteristic
333C22×C53#57611yescharacteristic
334C22×C53#57611yescharacteristic
335C4×C53—22no—
336C4×C53—22no—
337C4×C53—41no—
338C4×C53—41no—
339C4×C53—81no—
340C4×C53—81no—
341C4×C53—81no—
342C4×C53#52911yescharacteristic
343C4×C53#54211yescharacteristic
344C4×C53#54611yescharacteristic
345C4×C53#54811yescharacteristic
346Dic53—81no—
347Dic53—81no—
348Dic53—81no—
349Dic53—81no—
350C2×#474—531no—
351C2×#435—531no—
352#2563—531no—
353#2535D5311yescharacteristic
354#2076—531no—
355#2075—531no—
356#2034—531no—
357#2033—531no—
358#1993—531no—
359#1949—531no—
360#1895—531no—
361#1893—531no—
362#1809—531no—
363#1808—531no—
364#1762—531no—
365C2×C53—42no—
366C2×C53—81no—
367C2×C53—82no—
368C2×C53#242711yescharacteristic
369C2×C53#305611yescharacteristic
370C2×C53#305811yescharacteristic
371C2×C53#331411yescharacteristic
372C2×C53#331911yescharacteristic
373C2×C53#334611yescharacteristic
374C2×C53#334711yescharacteristic
375C22×M16—531no—
376C23×C8—531no—
377C2×C4⋊Q8—531no—
378C2×#121C2×D5311yescharacteristic
379C2×#121C2×D5311yescharacteristic
380C2×C4×D4C2×D5311yescharacteristic
381C2×C4×D4C2×D5311yescharacteristic
382#474—1064no—
383#435—1064no—
384C2×#107—531no—
385C2×#107—531no—
386C2×#107—531no—
387C2×#106—531no—
388C2×C4⋊C8—531no—
389C2×#102—531no—
390C2×#102—531no—
391C2×#102—531no—
392C2×#102—531no—
393C2×C22⋊C8—531no—
394C2×C22⋊C8—531no—
395C2×#97—531no—
396#397—21no—
397#393—1061no—
398#393—1061no—
399#392—21no—
400#390—1061no—
401#386—21no—
402#386—21no—
403#382—1061no—
404#382C2×D5311yescharacteristic
405#380—531no—
406#380—531no—
407#380—531no—
408#380—531no—
409#380C2×D5311yescharacteristic
410#380C2×D5311yescharacteristic
411C4×C4⋊C4—531no—
412#340—531no—
413#340—531no—
414#340—531no—
415#340—531no—
416#340—531no—
417#340—531no—
418#340—531no—
419#340—531no—
420C53#2535011yescharacteristic, complemented, Sylow
421C22×Q8—1061no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4C22⋊D5311yescharacteristic
425C22×D4C22×D5311yescharacteristic
426C23×C4—21no—
427C23×C4C22×D5311yescharacteristic
428C23×C4C22×D5311yescharacteristic
429C2×M16—1062no—
430C2×M16—1062no—
431C2×M16—2121no—
432C22×C8—531no—
433C22×C8—531no—
434C22×C8—531no—
435C22×C8—531no—
436C22×C8—1062no—
437C22×C8—1062no—
438C22×C8—2121no—
439C4⋊Q8—1062no—
440C4⋊Q8—1062no—
441#121—22no—
442#121—22no—
443#121—41no—
444#121—41no—
445C4×D4—22no—
446C4×D4—22no—
447C4×D4—22no—
448C4×D4—22no—
449C2×C4⋊C4—531no—
450C2×C4⋊C4—531no—
451C2×C4⋊C4—531no—
452C2×C4⋊C4—531no—
453C2×C4⋊C4—1061no—
454C2×C4⋊C4C22⋊D5311yescharacteristic
455C2×C4⋊C4C22×D5311yescharacteristic
456C2×C4⋊C4C22×D5311yescharacteristic
457C2×C4⋊C4C22×D5311yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—1061no—
464C2×C22⋊C4—1061no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4—1061no—
467C2×C22⋊C4C22⋊D5311yescharacteristic
468C2×C22⋊C4C22⋊D5311yescharacteristic
469C2×C42—1061no—
470C2×C42C22×D5311yescharacteristic
471#107—1062no—
472#107—1062no—
473#107—2121no—
474#106—2121no—
475C4⋊C8—534no—
476#102—1062no—
477#102—1062no—
478#102—1062no—
479#102—1062no—
480C22⋊C8—1062no—
481C22⋊C8—1062no—
482#97—1062no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—1061no—
488#95—1061no—
489#95—1061no—
490#95—1061no—
491#95—1061no—
492C24—21no—
493C24C2×C22⋊D5311yescharacteristic
494C24C2×C22⋊D5311yescharacteristic
495C2×Q8—4241no—
496C2×Q8—4241no—
497C2×Q8—2122no—
498C2×D4—22no—
499C2×D4—22no—
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—81no—
511C2×D4—81no—
512C2×D4#1171994712yes—
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—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—42no—
529C22×C4—81no—
530C22×C4—81no—
531C22×C4—1061no—
532C22×C4—1061no—
533C22×C4—1061no—
534C22×C4—1061no—
535C22×C4C2×C22⋊D5311yescharacteristic
536C22×C4C2×C22⋊D5311yescharacteristic
537C22×C4C2×C22⋊D5311yescharacteristic
538C22×C4C2×C22⋊D5311yescharacteristic
539C22×C4C23×D5311yescharacteristic
540M16—2124no—
541C2×C8—532no—
542C2×C8—532no—
543C2×C8—532no—
544C2×C8—1061no—
545C2×C8—1061no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8—1061no—
551C2×C8—1061no—
552C2×C8—1061no—
553C2×C8—2124no—
554C4⋊C4—22no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—1061no—
562C4⋊C4—1061no—
563C4⋊C4—1061no—
564C4⋊C4—1061no—
565C4⋊C4—1061no—
566C4⋊C4—1061no—
567C4⋊C4—1061no—
568C4⋊C4—1061no—
569C4⋊C4—2122no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—81no—
576C22⋊C4—81no—
577C22⋊C4—4241no—
578C22⋊C4—4241no—
579C22⋊C4—4241no—
580C22⋊C4—4241no—
581C42—2122no—
582C42D4×D5312yes—
583C42#1171994712yes—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—22no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23#1313324712yes—
605C23C22×C22⋊D5311yescharacteristic
606Q8—4244no—
607D4—22no—
608D4—22no—
609D4—44no—
610D4—41no—
611D4—41no—
612D4—84no—
613D4—84no—
614C2×C4—21no—
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—41no—
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—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—84no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4—2121no—
649C2×C4—2121no—
650C2×C4—2121no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4#1313318912yes—
655C2×C4#1313318912yes—
656C2×C4C2×D4×D5311yescharacteristic
657C2×C4#41×D5311yescharacteristic
658C2×C4C2×#1171994711yescharacteristic
659C2×C4C2×#1171994711yescharacteristic
660C2×C4#1313326211yescharacteristic
661C2×C4#1313326411yescharacteristic
662C8—1062no—
663C8—1062no—
664C8—1062no—
665C8—2121no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—42no—
675C22—42no—
676C22—41no—
677C22—41no—
678C22—42no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22C2×#1313318911yescharacteristic
688C22#1681126711yescharacteristic
689C22#1681127211yescharacteristic
690C22C2×#1313324711yescharacteristic
691C22#1681142111yescharacteristic
692C22#1681142611yescharacteristic
693C22#1681142611yescharacteristic
694C4—22no—
695C4—22no—
696C4—41no—
697C4—41no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—4241no—
702C4—4241no—
703C4—4241no—
704C4—4241no—
705C4#1681115411yescharacteristic
706C4#1681124011yescharacteristic
707C4#1681127011yescharacteristic
708C4#1681127911yescharacteristic
709C2—42no—
710C2—81no—
711C2—82no—
712C2#2027829411yescharacteristic
713C2#2028434711yescharacteristic
714C2#2028436011yescharacteristic
715C2#2028679611yescharacteristic
716C2#2028687111yescharacteristic
717C2#2028720011yescharacteristic
718C2#2028720911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
Fitting, prime radicalC53×#2535C2
socleC23×C53C22×D4
hypercenter#2535D53
hypocenterC53#25350
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2535

Complements

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

NH ≅ G/Ntype
1. C2×#16810903C2semidirect
2. C2×#16810695C2semidirect
3. #20279888C2semidirect
4. #20276146C2semidirect
5. #20276141C2semidirect
6. #20275901C2semidirect
7. #20275894C2semidirect
8. #20275687C2semidirect
9. #20275481C2semidirect
10. #20275154C2semidirect
11. #20275144C2semidirect
12. #20274746C2semidirect
13. #20274742C2semidirect
14. #20274540C2semidirect
88. C4⋊#88322D4semidirect
420. C53#25350semidirect

Maximal subgroups

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

subgroupindex
C2×#168109032
C2×#168106952
#202798882
#202761462
#202761412
#202759012
#202758942
#202756872
#202754812
#202751542
#202751442
#202747462
#202747422
#202745402
C53×#25352
#2535053