Finite Group Databasebeta

← #27390710

Subgroups — #27390710

Order 13568.

1010 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810854C211yesmaximal, characteristic
2C2×#16810721C211yesmaximal, characteristic, complemented
3C2×#16810579C211yesmaximal, characteristic, complemented
4#20277408C211yesmaximal, characteristic
5#20275599C211yesmaximal, characteristic, complemented
6#20275455C211yesmaximal, characteristic, complemented
7#20275397C211yesmaximal, characteristic, complemented
8#20275394C211yesmaximal, characteristic, complemented
9#20275151C211yesmaximal, characteristic
10#20275149C211yesmaximal, characteristic, complemented
11#20274742C211yesmaximal, characteristic, complemented
12#20274613C211yesmaximal, characteristic, complemented
13C4×#13133141C211yesmaximal, characteristic, complemented
14C4×#13133137C211yesmaximal, characteristic, complemented
15C53×#2323C211yesmaximal, characteristic, complemented
16C22×#11719924C2211yescharacteristic
17C22×#11719917C2211yescharacteristic
18C23×#88322C2211yescharacteristic
19C2×#13133191C2211yescharacteristic
20C2×C4×D212C2211yescharacteristic
21#16810854C418yescomplemented
22#16810721—24no—
23C2×#13133150C2211yescharacteristic
24C2×#13133150C2211yescharacteristic
25C2×#13133148C2211yescharacteristic
26C2×#13133141C2211yescharacteristic
27C2×#13133141C2211yescharacteristic
28C2×#13133141C2211yescharacteristic
29C2×#13133137C2211yescharacteristic
30C2×#13133137C2211yescharacteristic
31C2×#13133137C2211yescharacteristic
32#16810579—24no—
33C2×#13133128C2211yescharacteristic
34C2×#13133128C2211yescharacteristic
35C2×C4×#88322C2211yescharacteristic
36C2×C4×#88322C2211yescharacteristic
37#16810525C2211yescharacteristic
38#16810523—21no—
39#16810521C2211yescharacteristic
40#16810513—21no—
41#16810499—21no—
42#16810494—21no—
43#16810483C2211yescharacteristic
44C4×C4⋊Dic53C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810385C2211yescharacteristic
49#16810385C2211yescharacteristic
50#16810385C2211yescharacteristic
51C2×C22⋊Q8×C53C2211yescharacteristic
52C2×C4×Q8×C53C2211yescharacteristic
53C2×#117×C53C2211yescharacteristic
54C53×#391C2211yescharacteristic
55C53×#389—21no—
56C53×#389C2211yescharacteristic
57C53×#388—21no—
58C53×#388—21no—
59C53×#387—21no—
60C53×#380C2211yescharacteristic
61C4×C4⋊C4×C53C2211yescharacteristic
62C22×D212C2311yescharacteristic
63C22×C22⋊D53—21no—
64C22×C4×D53—21no—
65C2×#11719924—22no—
66C2×#11719924—22no—
67C2×#11719924C2×C414yes—
68C2×#11719917—22no—
69C2×#11719917—22no—
70C2×#11719917—22no—
71C22×#88322—22no—
72C22×#88322—22no—
73C22×#88322C2×C414yescomplemented
74C22×#88322C2311yescharacteristic
75C22×#88322C2311yescharacteristic
76C22×#88322C2311yescharacteristic
77C22×#88322C2311yescharacteristic
78#13133191—22no—
79#13133191C2×C414yes—
80C4×D212—22no—
81C4×D212—22no—
82C2×C4⋊Dic53C2311yescharacteristic
83C2×C4⋊Dic53C2311yescharacteristic
84C2×C4⋊Dic53C2311yescharacteristic
85C2×#11719919—21no—
86C2×C22⋊Dic53—21no—
87C2×#11719921—21no—
88C2×#11719921—21no—
89C2×#11719921—21no—
90C2×#11719921—21no—
91C2×C4×Dic53—21no—
92#13133150—22no—
93#13133150—22no—
94#13133148C2×C414yescomplemented
95#13133141—22no—
96#13133141—22no—
97#13133141C2×C414yescomplemented
98#13133137—22no—
99#13133137—22no—
100#13133137C2×C414yes—
101#13133128—22no—
102#13133128D414yescomplemented
103C4×#88322—22no—
104C4×#88322—22no—
105#13133124—21no—
106#13133124—21no—
107#13133124—21no—
108C22×Q8×C53C2311yescharacteristic
109C23×C4×C53C2311yescharacteristic
110C22⋊Q8×C53—22no—
111C22⋊Q8×C53C2×C414yescomplemented
112C4×Q8×C53—22no—
113C4×Q8×C53—22no—
114#117×C53—22no—
115#117×C53—22no—
116C2×C4⋊C4×C53—21no—
117C2×C4⋊C4×C53—21no—
118C2×C4⋊C4×C53—21no—
119C2×C4⋊C4×C53D411yescharacteristic
120C2×C4⋊C4×C53D411yescharacteristic
121C2×C4⋊C4×C53C2311yescharacteristic
122C2×C4⋊C4×C53C2311yescharacteristic
123C2×C4⋊C4×C53C2311yescharacteristic
124C2×C22⋊C4×C53—21no—
125C2×C22⋊C4×C53—21no—
126C2×C22⋊C4×C53D411yescharacteristic
127C2×C22⋊C4×C53D411yescharacteristic
128C2×C42×C53—21no—
129C2×C42×C53—21no—
130C2×C42×C53C2311yescharacteristic
131C2×C42×C53C2311yescharacteristic
132#95×C53—21no—
133#95×C53—21no—
134#95×C53—21no—
135#95×C53—21no—
136#95×C53—21no—
137C24×C53C2×D411yescharacteristic
138C23×D53—21no—
139C2×Q8×C53—21no—
140C2×Q8×C53—21no—
141C2×Q8×C53—21no—
142C2×Q8×C53—21no—
143C2×Q8×C53—21no—
144C2×Q8×C53C22×C412yes—
145C22×C4×C53—21no—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—21no—
149C22×C4×C53—21no—
150C22×C4×C53—21no—
151C22×C4×C53—21no—
152C22×C4×C53—21no—
153C22×C4×C53C22×C412yes—
154C22×C4×C53C2×D411yescharacteristic
155C22×C4×C53C2×D411yescharacteristic
156C22×C4×C53C2×D411yescharacteristic
157C22×C4×C53C2×D411yescharacteristic
158C22×C4×C53C2×D411yescharacteristic
159C22×C4×C53#4112yes—
160C22×C4×C53C2411yescharacteristic
161C2×C22⋊D53—24no—
162C2×C22⋊D53—81no—
163C2×C22⋊D53—81no—
164C22×Dic53—21no—
165C22×Dic53—21no—
166C22×Dic53—21no—
167C2×D212—21no—
168C2×D212—21no—
169C2×D212—21no—
170C2×D212—21no—
171C2×D212—21no—
172C2×D212C22×C412yes—
173C2×C4×D53—42no—
174C2×C4×D53—81no—
175C2×C4×D53—81no—
176C4⋊C4×C53—24no—
177C4⋊C4×C53—22no—
178C4⋊C4×C53—22no—
179C4⋊C4×C53—21no—
180C4⋊C4×C53—21no—
181C4⋊C4×C53—21no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—42no—
185C4⋊C4×C53—81no—
186C4⋊C4×C53C22×C412yes—
187C22⋊C4×C53—24no—
188C22⋊C4×C53—22no—
189C22⋊C4×C53—22no—
190C22⋊C4×C53—81no—
191C42×C53—21no—
192C42×C53—21no—
193C42×C53—42no—
194C42×C53—81no—
195C42×C53C2×D412yes—
196C42×C53#4112yes—
197C22⋊Dic53—81no—
198#11719924—28no—
199#11719921—24no—
200#11719921—42no—
201#11719921—81no—
202#11719921—81no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53C22×C412yes—
209#11719919—81no—
210C4×Dic53—81no—
211#11719917—28no—
212C2×#88322—21no—
213C2×#88322—21no—
214C2×#88322—21no—
215C2×#88322—21no—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322—28no—
219C2×#88322C22×C412yes—
220C2×#88322C22×C412yes—
221C2×#88322C2×D412yes—
222C2×#88322C2×D412yes—
223C2×#88322#4112yes—
224C2×#88322#4112yes—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53C4×D412yes—
232C23×C53C22×D411yescharacteristic
233C22×D53—22no—
234C22×D53—41no—
235C22×D53—41no—
236C22×D53—41no—
237C22×D53—41no—
238C22×D53—41no—
239C22×D53—41no—
240Q8×C53—22no—
241Q8×C53—22no—
242Q8×C53—41no—
243Q8×C53—41no—
244C2×C4×C53—21no—
245C2×C4×C53—21no—
246C2×C4×C53—21no—
247C2×C4×C53—21no—
248C2×C4×C53—21no—
249C2×C4×C53—21no—
250C2×C4×C53—22no—
251C2×C4×C53—22no—
252C2×C4×C53—22no—
253C2×C4×C53—22no—
254C2×C4×C53—22no—
255C2×C4×C53—22no—
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—41no—
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×C53C4×D412yes—
273C2×C4×C53#12112yes—
274C2×C4×C53#12112yes—
275C2×C4×C53C23×C411yescharacteristic
276C2×C4×C53C22×D411yescharacteristic
277C2×C4×C53C2×#4111yescharacteristic
278C2×C4×C53C2×#4111yescharacteristic
279C2×C4×C53C2×#4111yescharacteristic
280C2×C4×C53C2×#4111yescharacteristic
281C22⋊D53—84no—
282C2×Dic53—22no—
283C2×Dic53—41no—
284C2×Dic53—41no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287C2×Dic53—41no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291D212—22no—
292D212—22no—
293D212—41no—
294D212—41no—
295C4×D53—84no—
296#88322—22no—
297#88322—22no—
298#88322—22no—
299#88322C4×D414yes—
300#21531—531nomaximal, Sylow
301C22×C53—22no—
302C22×C53—22no—
303C22×C53—22no—
304C22×C53—41no—
305C22×C53—41no—
306C22×C53—41no—
307C22×C53—41no—
308C22×C53C2×C4×D411yescharacteristic
309C22×C53C2×#12111yescharacteristic
310C22×C53#53211yescharacteristic
311C22×C53#57611yescharacteristic
312C22×C53#57711yescharacteristic
313C22×C53#57711yescharacteristic
314C22×C53#57811yescharacteristic
315C2×D53—42no—
316C2×D53—42no—
317C2×D53—42no—
318C2×D53—81no—
319C2×D53—81no—
320C2×D53—81no—
321C2×D53—81no—
322C4×C53—22no—
323C4×C53—22no—
324C4×C53—22no—
325C4×C53—42no—
326C4×C53—41no—
327C4×C53—41no—
328C4×C53—42no—
329C4×C53—81no—
330C4×C53—81no—
331C4×C53C2×C4×D411yescharacteristic
332C4×C53C4×#4111yescharacteristic
333C4×C53#52511yescharacteristic
334C4×C53#52911yescharacteristic
335Dic53—42no—
336Dic53—81no—
337Dic53—81no—
338C2×#465—531no—
339C2×#440—531no—
340C2×#405—531no—
341#2324—531no—
342#2323D5311yescharacteristic, complemented
343#1973—531no—
344#1944—531no—
345#1934—531no—
346#1933—531no—
347#1895—531no—
348#1894—531no—
349#1808—531no—
350#1776—531no—
351C4×#103—531no—
352C4×#102—531no—
353C2×C53—42no—
354C2×C53C4×#12111yescharacteristic
355C2×C53#294911yescharacteristic
356C2×C53#295111yescharacteristic
357C2×C53#306211yescharacteristic
358C2×C53#306311yescharacteristic
359C2×C53#317811yescharacteristic
360C2×C53#317911yescharacteristic
361D53—82no—
362C22×SD16—531no—
363C22×M16—531no—
364C23×C8—531no—
365C2×C22⋊Q8C2×D5311yescharacteristic
366C2×#121—531no—
367C2×C4×Q8C2×D5311yescharacteristic
368C2×C4×D4—531no—
369C2×#117C2×D5311yescharacteristic
370#465—538no—
371#440—1064no—
372C2×#107—531no—
373C2×#107—531no—
374C2×#106—531no—
375C2×#103—531no—
376C2×#103—531no—
377C2×#103—531no—
378C2×#102—531no—
379C2×#102—531no—
380C2×#102—531no—
381#405—1064no—
382C2×#97—531no—
383C2×#97—531no—
384C2×C4×C8—531no—
385C2×C4×C8—531no—
386#391C2×D5311yescharacteristic
387#390—531no—
388#390—1061no—
389#389—21no—
390#389—531no—
391#389C2×D5311yescharacteristic
392#388—21no—
393#388—21no—
394#388—1061no—
395#387—21no—
396#386—1061no—
397#385—1061no—
398#380—531no—
399#380C2×D5311yescharacteristic
400C4×C4⋊C4—531no—
401C4×C4⋊C4C2×D5311yescharacteristic
402#340—531no—
403#340—531no—
404#340—531no—
405#340—531no—
406#340—531no—
407#340—531no—
408C53#2153111yescharacteristic, complemented, Sylow
409C22×Q8C22×D5311yescharacteristic
410C22×D4—531no—
411C22×D4—1061no—
412C23×C4—1061no—
413C23×C4C22×D5311yescharacteristic
414C2×SD16—534no—
415C2×SD16—1062no—
416C2×SD16—1062no—
417C2×M16—1062no—
418C2×M16—1062no—
419C2×M16—1062no—
420C22×C8—531no—
421C22×C8—534no—
422C22×C8—531no—
423C22×C8—531no—
424C22×C8—531no—
425C22×C8—1062no—
426C22×C8—1062no—
427C22⋊Q8—22no—
428C22⋊Q8C4×D5314yescomplemented
429#121—534no—
430#121—1062no—
431C4×Q8—22no—
432C4×Q8—22no—
433C4×D4—1062no—
434C4×D4—1062no—
435#117—22no—
436#117—22no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—531no—
441C2×C4⋊C4—531no—
442C2×C4⋊C4—531no—
443C2×C4⋊C4—1061no—
444C2×C4⋊C4C22⋊D5311yescharacteristic
445C2×C4⋊C4C22⋊D5311yescharacteristic
446C2×C4⋊C4C22×D5311yescharacteristic
447C2×C4⋊C4C22×D5311yescharacteristic
448C2×C4⋊C4C22×D5311yescharacteristic
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—1061no—
452C2×C22⋊C4—1061no—
453C2×C22⋊C4—1061no—
454C2×C22⋊C4—1061no—
455C2×C22⋊C4—1061no—
456C2×C22⋊C4C22⋊D5311yescharacteristic
457C2×C22⋊C4C22⋊D5311yescharacteristic
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—1061no—
461C2×C42C22×D5311yescharacteristic
462C2×C42C22×D5311yescharacteristic
463#107—1062no—
464#107—1062no—
465#106—534no—
466#103—534no—
467#103—1062no—
468#103—1062no—
469#102—534no—
470#102—1062no—
471#102—1062no—
472#97—534no—
473#97—1062no—
474C4×C8—1062no—
475C4×C8—1062no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—21no—
480#95—21no—
481#95—1061no—
482#95—1061no—
483#95—1061no—
484C24—1061no—
485C24C2×C22⋊D5311yescharacteristic
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8C2×C4×D5312yes—
492C2×D4—532no—
493C2×D4—1064no—
494C2×D4—1061no—
495C2×D4—1061no—
496C2×D4—1061no—
497C2×D4—1061no—
498C2×D4—1061no—
499C2×D4—4241no—
500C2×D4—4241no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—1061no—
510C22×C4—1061no—
511C22×C4—1061no—
512C22×C4—4241no—
513C22×C4—4241no—
514C22×C4—2122no—
515C22×C4C2×C4×D5312yes—
516C22×C4#1171994512yes—
517C22×C4C2×C22⋊D5311yescharacteristic
518C22×C4C2×C22⋊D5311yescharacteristic
519C22×C4C2×C22⋊D5311yescharacteristic
520C22×C4C2×C22⋊D5311yescharacteristic
521C22×C4C2×C22⋊D5311yescharacteristic
522C22×C4C23×D5311yescharacteristic
523SD16—1068no—
524M16—1068no—
525C2×C8—532no—
526C2×C8—532no—
527C2×C8—532no—
528C2×C8—532no—
529C2×C8—532no—
530C2×C8—532no—
531C2×C8—1068no—
532C2×C8—1061no—
533C2×C8—1061no—
534C2×C8—1061no—
535C2×C8—1061no—
536C2×C8—1061no—
537C2×C8—1061no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—42no—
547C4⋊C4—81no—
548C4⋊C4—532no—
549C4⋊C4—1061no—
550C4⋊C4—1061no—
551C4⋊C4—1061no—
552C4⋊C4—1061no—
553C4⋊C4—1061no—
554C4⋊C4—4241no—
555C4⋊C4C2×C4×D5312yes—
556C22⋊C4—24no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—81no—
560C22⋊C4—1064no—
561C22⋊C4—4241no—
562C22⋊C4—4241no—
563C22⋊C4—4241no—
564C22⋊C4—2122no—
565C42—21no—
566C42—21no—
567C42—42no—
568C42—81no—
569C42—4241no—
570C42D4×D5312yes—
571C42#1171994712yes—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—1062no—
579C23—2121no—
580C23—2121no—
581C23—2121no—
582C23—2121no—
583C23—2121no—
584C23—2121no—
585C23C4×C22⋊D5312yes—
586C23C22×C22⋊D5311yescharacteristic
587Q8—22no—
588Q8—22no—
589Q8—41no—
590Q8—41no—
591D4—1062no—
592D4—1062no—
593D4—4244no—
594D4—2121no—
595D4—2121no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—1062no—
625C2×C4—4244no—
626C2×C4—2121no—
627C2×C4—2121no—
628C2×C4—2121no—
629C2×C4—2121no—
630C2×C4—2121no—
631C2×C4—2121no—
632C2×C4—2121no—
633C2×C4—2121no—
634C2×C4C4×C22⋊D5312yes—
635C2×C4#1313318912yes—
636C2×C4#1313318912yes—
637C2×C4C22×C4×D5311yescharacteristic
638C2×C4C2×D4×D5311yescharacteristic
639C2×C4#41×D5311yescharacteristic
640C2×C4#41×D5311yescharacteristic
641C2×C4C2×#1171994711yescharacteristic
642C2×C4C2×#1171994511yescharacteristic
643C8—534no—
644C8—1062no—
645C8—1062no—
646C8—1062no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—4241no—
655C22—4241no—
656C22—4241no—
657C22—4241no—
658C22—2122no—
659C22—2122no—
660C22—2122no—
661C22C2×C4×C22⋊D5311yescharacteristic
662C22C2×#1313318911yescharacteristic
663C22#1681116911yescharacteristic
664C22#1681142611yescharacteristic
665C22#1681143111yescharacteristic
666C22#1681143111yescharacteristic
667C22#1681143811yescharacteristic
668C4—22no—
669C4—22no—
670C4—22no—
671C4—42no—
672C4—42no—
673C4—41no—
674C4—41no—
675C4—81no—
676C4—81no—
677C4—4241no—
678C4—4241no—
679C4—2122no—
680C4C4×D4×D5311yescharacteristic
681C4C4×#1171994711yescharacteristic
682C4#1681113211yescharacteristic
683C4#1681115311yescharacteristic
684C2—42no—
685C2—4242no—
686C2C4×#1313318911yescharacteristic
687C2#2028357411yescharacteristic
688C2#2028358811yescharacteristic
689C2#2028439711yescharacteristic
690C2#2028440211yescharacteristic
691C2#2028538511yescharacteristic
692C2#2028539211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#2323C2
socleC23×C53C22×D4
prime radicalC2×#13133191C22
cosocleC22×C4×C53C24
hypercenter#2323D53
hypocenterC53#21531
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2323

Complements

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

NH ≅ G/Ntype
2. C2×#16810721C2semidirect
3. C2×#16810579C2semidirect
5. #20275599C2semidirect
6. #20275455C2semidirect
7. #20275397C2semidirect
8. #20275394C2semidirect
10. #20275149C2semidirect
11. #20274742C2semidirect
12. #20274613C2semidirect
13. C4×#13133141C2semidirect
14. C4×#13133137C2semidirect
15. C53×#2323C2semidirect
21. #16810854C4semidirect
73. C22×#88322C2×C4semidirect
94. #13133148C2×C4semidirect
97. #13133141C2×C4semidirect
102. #13133128D4semidirect
111. C22⋊Q8×C53C2×C4semidirect
342. #2323D53semidirect
408. C53#21531semidirect
428. C22⋊Q8C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168108542
C2×#168107212
C2×#168105792
#202774082
#202755992
#202754552
#202753972
#202753942
#202751512
#202751492
#202747422
#202746132
C4×#131331412
C4×#131331372
C53×#23232
#2153153