Finite Group Databasebeta

← #25140506

Subgroups — #25140506

Order 11008.

966 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×#14583061C211yesmaximal, characteristic
2C2×#14582991C211yesmaximal, characteristic, complemented
3#19138122C211yesmaximal, characteristic, complemented
4#19137436C211yesmaximal, characteristic
5#19136121C211yesmaximal, characteristic, complemented
6#19136021C211yesmaximal, characteristic, complemented
7#19135911C211yesmaximal, characteristic, complemented
8#19135799C211yesmaximal, characteristic, complemented
9#19135280C211yesmaximal, characteristic, complemented
10#19135204C211yesmaximal, characteristic, complemented
11#19134947C211yesmaximal, characteristic, complemented
12#19134934C211yesmaximal, characteristic, complemented
13#19134851C211yesmaximal, characteristic, complemented
14#19134598C211yesmaximal, characteristic, complemented
15C43×#1788C211yesmaximal, characteristic
16C22×#10621885C2211yescharacteristic
17C22×#10621883C2211yescharacteristic
18C2×#13063304C2211yescharacteristic
19C2×Q8×Dic43C2211yescharacteristic
20C2×Q8×Dic43C2211yescharacteristic
21C2×#13063290C2211yescharacteristic
22#14583061—24no—
23#14582991—24no—
24C2×#13063259C2211yescharacteristic
25C2×#13063258C2211yescharacteristic
26C2×Dic43⋊C8C2211yescharacteristic
27C2×#13063250C2211yescharacteristic
28C2×#13063250C2211yescharacteristic
29C2×#13063249C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×C22⋊(C43⋊C8)C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33#14582835—21no—
34#14582833—21no—
35#14582804C2211yescharacteristic
36#14582802—21no—
37#14582802—21no—
38#14582802C2211yescharacteristic
39#14582802C2211yescharacteristic
40#14582798C2211yescharacteristic
41#14582793—21no—
42#14582781—21no—
43#14582768C2211yescharacteristic
44#14582759—21no—
45#14582759C2211yescharacteristic
46C4×C22⋊Dic43—21no—
47C4×C22⋊Dic43C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
54C22×#41×C43C2211yescharacteristic
55C2×#103×C43C2211yescharacteristic
56C2×#103×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×C22⋊C8×C43C2211yescharacteristic
60C43×#380C2211yescharacteristic
61C22×Dic86C2311yescharacteristic
62C2×#10621885—22no—
63C2×#10621885—22no—
64C2×#10621885D414yes—
65C2×#10621883—22no—
66C2×#10621883—22no—
67C2×#10621883—41no—
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70#13063304—22no—
71#13063304—41no—
72Q8×Dic43—22no—
73Q8×Dic43—22no—
74Q8×Dic43—41no—
75Q8×Dic43—41no—
76#13063290—22no—
77#13063290—41no—
78C2×C4⋊Dic43—21no—
79C2×C4⋊Dic43—21no—
80C2×C4⋊Dic43—21no—
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×Dic43⋊C4—21no—
85C2×Dic43⋊C4—21no—
86C2×Dic43⋊C4—21no—
87C2×Dic43⋊C4—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43—21no—
92C2×C22⋊Dic43—21no—
93C2×C22⋊Dic43—21no—
94C2×C22⋊Dic43D411yescharacteristic
95C2×C22⋊Dic43D411yescharacteristic
96C2×C4×Dic43—21no—
97C2×C4×Dic43—21no—
98C2×C4×Dic43—21no—
99C2×C4×Dic43C2311yescharacteristic
100C2×C4×Dic43C2311yescharacteristic
101#13063259—41no—
102#13063258—22no—
103Dic43⋊C8—41no—
104#13063250—22no—
105#13063250—41no—
106#13063249—22no—
107#13063246—22no—
108C22⋊(C43⋊C8)—22no—
109C8×Dic43—22no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95D411yescharacteristic
115C43⋊#95D411yescharacteristic
116C2×#41×C43—22no—
117C2×#41×C43—22no—
118C2×#41×C43—22no—
119C2×#41×C43—22no—
120C2×#41×C43—41no—
121C2×#41×C43—41no—
122C22×Q8×C43C2311yescharacteristic
123C22×D4×C43—21no—
124C22×D4×C43C2311yescharacteristic
125C23×C4×C43—21no—
126C23×C4×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C22×C8×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132#103×C43—22no—
133#103×C43—22no—
134#102×C43—22no—
135#102×C43—41no—
136C22⋊C8×C43—41no—
137#95×C43—21no—
138C24×C43—21no—
139C24×C43C2×D411yescharacteristic
140#41×C43—44no—
141#41×C43—44no—
142#41×C43—44no—
143#41×C43—44no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43C2×D412yes—
148C2×Q8×C43#4112yes—
149C2×Q8×C43#4112yes—
150C2×D4×C43—24no—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—42no—
157C2×D4×C43—42no—
158C2×D4×C43#4112yes—
159C22×C4×C43—24no—
160C22×C4×C43—21no—
161C22×C4×C43—21no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43—42no—
170C22×C4×C43—42no—
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2411yescharacteristic
173C22×Dic43—21no—
174C22×Dic43—21no—
175C22×Dic43—21no—
176C22×Dic43—21no—
177C22×Dic43C2×D411yescharacteristic
178C22×Dic43C2×D411yescharacteristic
179C22×Dic43C2×D411yescharacteristic
180C22×Dic43C2×D411yescharacteristic
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86C2×D412yes—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C22⋊C4×C43—81no—
198C22⋊Dic43—22no—
199C22⋊Dic43—22no—
200C22⋊Dic43—42no—
201C22⋊Dic43—42no—
202C22⋊Dic43—42no—
203C22⋊Dic43—81no—
204C22⋊Dic43—81no—
205C22⋊Dic43—81no—
206#10621885—28no—
207#10621883—44no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—42no—
215C4⋊Dic43—42no—
216C4⋊Dic43—81no—
217Dic43⋊C4—42no—
218Dic43⋊C4—42no—
219Dic43⋊C4—42no—
220Dic43⋊C4—81no—
221C4×Dic43—21no—
222C4×Dic43—21no—
223C4×Dic43—21no—
224C4×Dic43—21no—
225C4×Dic43—42no—
226C4×Dic43—42no—
227C4×Dic43—42no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8C2×D412yes—
234C23×C43—21no—
235C23×C43—22no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43C22×D411yescharacteristic
249Q8×C43—22no—
250Q8×C43—22no—
251Q8×C43—22no—
252Q8×C43#12314yes—
253D4×C43—22no—
254D4×C43—22no—
255D4×C43—48no—
256D4×C43—41no—
257D4×C43—41no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—48no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43C22×D411yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43H(5,𝔽2)11yescharacteristic
280C2×C4×C43H(5,𝔽2)11yescharacteristic
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—22no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43#13512yes—
304C2×Dic43#13712yes—
305Dic86—22no—
306Dic86—22no—
307Dic86—41no—
308Dic86—41no—
309C8×C43—41no—
310C8×C43—41no—
311C43⋊C8—22no—
312C43⋊C8—41no—
313#24904—431nomaximal, Sylow
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—42no—
317C22×C43—41no—
318C22×C43—42no—
319C22×C43—41no—
320C22×C43—42no—
321C22×C43—41no—
322C22×C43—41no—
323C22×C43—41no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43#52511yescharacteristic
329C22×C43D4211yescharacteristic
330C22×C43#54611yescharacteristic
331C22×C43C2×#13511yescharacteristic
332C22×C43C2×#13711yescharacteristic
333C22×C43#57611yescharacteristic
334C22×C43#57811yescharacteristic
335C4×C43—24no—
336C4×C43—41no—
337C4×C43—81no—
338C4×C43—81no—
339C4×C43C2×#12311yescharacteristic
340C4×C43#53811yescharacteristic
341C4×C43#54611yescharacteristic
342C4×C43#55111yescharacteristic
343Dic43—22no—
344Dic43—22no—
345Dic43—41no—
346Dic43—42no—
347Dic43—41no—
348Dic43—81no—
349Dic43—81no—
350Dic43—81no—
351C2×#452—431no—
352C2×C4×Q16—431no—
353#2423—431no—
354#2341—431no—
355#2093—431no—
356#2075—431no—
357#2055—431no—
358#2036—431no—
359#1934—431no—
360#1923—431no—
361#1880—431no—
362#1878—431no—
363#1863—431no—
364#1803—431no—
365#1788D4311yescharacteristic
366C2×C43—81no—
367C2×C43—82no—
368C2×C43#241811yescharacteristic
369C2×C43#310711yescharacteristic
370C2×C43#312411yescharacteristic
371C2×C43#327011yescharacteristic
372C2×C43#328711yescharacteristic
373C2×C43#330011yescharacteristic
374C2×C43#333311yescharacteristic
375C22×#41C2×D4311yescharacteristic
376C22×Q16—431no—
377C22×SD16—431no—
378C2×C22⋊Q8—431no—
379C2×C4×Q8—431no—
380C2×C4×Q8—431no—
381C2×C4×Q8—431no—
382#452—864no—
383C4×Q16—864no—
384C2×#107—431no—
385C2×#107—431no—
386C2×C4⋊C8—431no—
387C2×#103—431no—
388C2×#103—431no—
389C2×#103—431no—
390C2×#103C2×D4311yescharacteristic
391C2×#103C2×D4311yescharacteristic
392C2×#102—431no—
393C2×#102C2×D4311yescharacteristic
394C2×#102C2×D4311yescharacteristic
395C2×C22⋊C8—431no—
396C2×C22⋊C8C2×D4311yescharacteristic
397C2×C4×C8—431no—
398#399—861no—
399#398—861no—
400#391—431no—
401#390—431no—
402#390—431no—
403#390—861no—
404#390—861no—
405#389—431no—
406#388—861no—
407#387—861no—
408#384—431no—
409#380—431no—
410#380—861no—
411#380C2×D4311yescharacteristic
412C4×C22⋊C4—431no—
413C4×C22⋊C4—861no—
414#340—431no—
415#340—431no—
416#340—431no—
417#340—431no—
418#336—431no—
419#336—431no—
420C43#2490411yescharacteristic, complemented, Sylow
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—41no—
426C2×#41—41no—
427C22×Q8—431no—
428C22×Q8C22×D4311yescharacteristic
429C22×D4—21no—
430C22×D4C22×D4311yescharacteristic
431C23×C4—21no—
432C23×C4C22×D4311yescharacteristic
433C2×Q16—434no—
434C2×Q16—862no—
435C2×Q16—862no—
436C2×SD16—862no—
437C2×SD16—862no—
438C2×SD16—1721no—
439C22×C8—431no—
440C22×C8—431no—
441C22×C8C22×D4311yescharacteristic
442C22×C8C22×D4311yescharacteristic
443C22⋊Q8—862no—
444C22⋊Q8—1721no—
445C4×Q8—862no—
446C4×Q8—862no—
447C4×Q8—862no—
448C4×Q8—1721no—
449C4×Q8—1721no—
450C4×Q8—1721no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4C22×D4311yescharacteristic
462C2×C4⋊C4C22×D4311yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—431no—
465C2×C22⋊C4—431no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C42—431no—
473C2×C42—431no—
474C2×C42—861no—
475C2×C42—861no—
476C2×C42—861no—
477#107—862no—
478#107—1721no—
479C4⋊C8—1721no—
480#103—22no—
481#103—22no—
482#103—862no—
483#103—862no—
484#103—1721no—
485#102—22no—
486#102—41no—
487#102—862no—
488C22⋊C8—41no—
489C22⋊C8—862no—
490C4×C8—862no—
491#95—21no—
492#95—431no—
493#95—431no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498C24—21no—
499C24D4×D4311yescharacteristic
500#41—44no—
501#41—44no—
502#41—44no—
503#41—44no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—432no—
508C2×Q8—861no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8#1062189812yes—
514C2×Q8D4×D4312yes—
515C2×Q8#1062190012yes—
516C2×D4—24no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4#1062190012yes—
525C22×C4—21no—
526C22×C4—24no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—431no—
538C22×C4—431no—
539C22×C4—431no—
540C22×C4—431no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—861no—
545C22×C4D4×D4311yescharacteristic
546C22×C4C23×D4311yescharacteristic
547Q16—868no—
548SD16—1724no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—432no—
556C2×C8—861no—
557C2×C8—861no—
558C2×C8—861no—
559C2×C8—861no—
560C2×C8—861no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—861no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—3441no—
572C4⋊C4—3441no—
573C4⋊C4—1722no—
574C4⋊C4—1722no—
575C4⋊C4—1722no—
576C4⋊C4—1722no—
577C4⋊C4—1722no—
578C22⋊C4—81no—
579C22⋊C4—862no—
580C22⋊C4—862no—
581C22⋊C4—3441no—
582C22⋊C4—3441no—
583C22⋊C4—3441no—
584C22⋊C4—1722no—
585C22⋊C4—1722no—
586C22⋊C4—1722no—
587C42—861no—
588C42—861no—
589C42—861no—
590C42—861no—
591C42—1722no—
592C42—1722no—
593C42—1722no—
594C23—21no—
595C23—22no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23C2×D4×D4311yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8—862no—
613Q8—862no—
614Q8—1721no—
615Q8—1721no—
616Q8#1306330714yes—
617D4—22no—
618D4—22no—
619D4—48no—
620D4—41no—
621D4—41no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—48no—
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—432no—
640C2×C4—432no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—862no—
651C2×C4—861no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4C2×D4×D4311yescharacteristic
664C2×C4C2×#1062190011yescharacteristic
665C2×C4C2×#1062190011yescharacteristic
666C2×C4C2×#1062189811yescharacteristic
667C2×C4#1306337011yescharacteristic
668C2×C4#1306337011yescharacteristic
669C8—41no—
670C8—41no—
671C8—862no—
672C8—1721no—
673C22—42no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—42no—
682C22—41no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22#1458340511yescharacteristic
688C22#1458353111yescharacteristic
689C22#1458353911yescharacteristic
690C22#135×D4311yescharacteristic
691C22#137×D4311yescharacteristic
692C22#1458370311yescharacteristic
693C22#1458371311yescharacteristic
694C4—24no—
695C4—41no—
696C4—81no—
697C4—81no—
698C4—862no—
699C4—862no—
700C4—3441no—
701C4—3441no—
702C4—3441no—
703C4—1722no—
704C4—1721no—
705C4—1721no—
706C4C2×#1306330711yescharacteristic
707C4#1458348411yescharacteristic
708C4#1458353611yescharacteristic
709C4#1458357511yescharacteristic
710C2—81no—
711C2—82no—
712C2#1913806111yescharacteristic
713C2#1914465911yescharacteristic
714C2#1914485011yescharacteristic
715C2#1914616311yescharacteristic
716C2#1914634811yescharacteristic
717C2#1914648311yescharacteristic
718C2#1914692911yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1788C2
socleC23×C43C22×D4
prime radicalC22×#41×C43C22
hypercenter#1788D43
hypocenterC43#24904
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1788

Complements

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

NH ≅ G/Ntype
2. C2×#14582991C2semidirect
3. #19138122C2semidirect
5. #19136121C2semidirect
6. #19136021C2semidirect
7. #19135911C2semidirect
8. #19135799C2semidirect
9. #19135280C2semidirect
10. #19135204C2semidirect
11. #19134947C2semidirect
12. #19134934C2semidirect
13. #19134851C2semidirect
14. #19134598C2semidirect
420. C43#24904semidirect

Maximal subgroups

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

subgroupindex
C2×#145830612
C2×#145829912
#191381222
#191374362
#191361212
#191360212
#191359112
#191357992
#191352802
#191352042
#191349472
#191349342
#191348512
#191345982
C43×#17882
#2490443