Finite Group Databasebeta

← #10828775

Subgroups — #10828775

Order 768.

1122 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5695C211yesmaximal, characteristic
2C2×#4880C211yesmaximal, characteristic, complemented
3C2×#4866C211yesmaximal, characteristic, complemented
4#76229C211yesmaximal, characteristic, complemented
5C3×#2059C211yesmaximal, characteristic, complemented
6#71739C211yesmaximal, characteristic, complemented
7#70634C211yesmaximal, characteristic, complemented
8#70579C211yesmaximal, characteristic, complemented
9#69626C211yesmaximal, characteristic, complemented
10#68883C211yesmaximal, characteristic, complemented
11#68874C211yesmaximal, characteristic, complemented
12#68873C211yesmaximal, characteristic, complemented
13#68823C211yesmaximal, characteristic, complemented
14#68670C211yesmaximal, characteristic, complemented
15#68668C211yesmaximal, characteristic, complemented
16#24090—31nomaximal, Sylow
17C2×C3×#125C2211yescharacteristic
18C22×D3×C8C2211yescharacteristic
19#5695—24no—
20#5695—24no—
21C2×#898—21no—
22C2×#895—21no—
23C2×#895C2211yescharacteristic
24C2×#895C2211yescharacteristic
25C2×#894—21no—
26C2×#893—21no—
27C2×#892C2211yescharacteristic
28C2×#892C2211yescharacteristic
29C2×D3×C4⋊C4C2211yescharacteristic
30C2×C4×D12C2211yescharacteristic
31C2×C4×D12C2211yescharacteristic
32C2×C3×#107C2211yescharacteristic
33C2×C3×#106C2211yescharacteristic
34C3×#389C2211yescharacteristic
35C2×#821C2211yescharacteristic
36C2×#821C2211yescharacteristic
37C2×(C2×D3)⋊C8C2211yescharacteristic
38C2×(C2×D3)⋊C8C2211yescharacteristic
39C2×(C2×D3)⋊C8C2211yescharacteristic
40C2×#818C2211yescharacteristic
41#4991—21no—
42#4987C2211yescharacteristic
43#4987C2211yescharacteristic
44#4987C2211yescharacteristic
45#4980—21no—
46C2×#809C2211yescharacteristic
47C2×#809C2211yescharacteristic
48C2×#808C2211yescharacteristic
49C2×#808C2211yescharacteristic
50C2×#807C2211yescharacteristic
51#4928C2211yescharacteristic
52#4880—24no—
53#4866—24no—
54#4675—21no—
55#4669—21no—
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59#4551C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#553—31no—
65C2×#482—31no—
66C2×#427—31no—
67#2485—31no—
68#2059—31no—
69#2059D311yescharacteristic, complemented
70#2034—31no—
71#2033—31no—
72#1893—31no—
73#1869—31no—
74#1864—31no—
75#1862—31no—
76#1853—31no—
77#1852—31no—
78#1825—31no—
79C22×D12—21no—
80C22×D12—21no—
81C22×D12D411yescharacteristic
82C22×D12C2311yescharacteristic
83C22×C4×D3—21no—
84C22×C4×D3—21no—
85C22×C4×D3C2311yescharacteristic
86C22×C4×D3C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C3×#125—22no—
90C3×#125—22no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4—21no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C42C2311yescharacteristic
99C2×(C2×D3)⋊C4—21no—
100C2×(C2×D3)⋊C4—21no—
101C2×(C2×D3)⋊C4—21no—
102C2×(C2×D3)⋊C4—21no—
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4D411yescharacteristic
108C2×(C2×D3)⋊C4D411yescharacteristic
109C2×C4⋊Dic3D411yescharacteristic
110C2×C4⋊Dic3C2311yescharacteristic
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113C2×Dic3⋊C4—21no—
114C2×Dic3⋊C4—21no—
115C2×C4×Dic3—21no—
116C2×C4×Dic3—21no—
117C22×C3⋊C8C2311yescharacteristic
118C22×C3⋊C8C2311yescharacteristic
119C2×D3×C8—22no—
120C2×D3×C8—22no—
121C2×D3×C8—22no—
122#898—28no—
123#895—28no—
124#895—22no—
125#895—22no—
126#895—22no—
127#895D414yes—
128#894—28no—
129#893—28no—
130#892—22no—
131#892—22no—
132#892—22no—
133#892D414yes—
134D3×C4⋊C4—22no—
135D3×C4⋊C4—22no—
136C4×D12—22no—
137C4×D12—22no—
138C4×D12—22no—
139C4×D12—22no—
140C3×#107—22no—
141C3×#106—22no—
142C3×#95—21no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145C3⋊#95—21no—
146C3⋊#95—21no—
147#821—22no—
148#821—22no—
149(C2×D3)⋊C8—22no—
150(C2×D3)⋊C8—22no—
151(C2×D3)⋊C8—22no—
152#818—22no—
153#809—22no—
154#809—22no—
155#808—22no—
156#808—22no—
157#807—22no—
158C23×C8—31no—
159#553—64no—
160#553—64no—
161C2×#126—61no—
162C2×#125C2×D311yescharacteristic
163C2×#123—61no—
164C2×#121—31no—
165C2×#121—31no—
166C2×#121—61no—
167C2×C4×D4—31no—
168C2×C4×D4—31no—
169C2×C4×D4—61no—
170C2×#117—31no—
171C2×#117—31no—
172C22×C4⋊C4—31no—
173#482—64no—
174#427—64no—
175C2×#107—31no—
176C2×#107—31no—
177C2×#107C2×D311yescharacteristic
178C2×#106—31no—
179C2×#106—31no—
180C2×#106C2×D311yescharacteristic
181C2×#102—31no—
182C2×#102—31no—
183C2×#102—31no—
184C2×#102—31no—
185C2×C22⋊C8—31no—
186C2×C22⋊C8—31no—
187C2×C22⋊C8—31no—
188#397—61no—
189#394—61no—
190#389—31no—
191#389C2×D311yescharacteristic
192#388—61no—
193#387—61no—
194#380—31no—
195#380—31no—
196#380—31no—
197#340—31no—
198#340—31no—
199#340—31no—
200#340—31no—
201#340C2×D311yescharacteristic
202#340C2×D311yescharacteristic
203#336—31no—
204#336C2×D311yescharacteristic
205C23×D3—21no—
206C23×D3C2×D411yescharacteristic
207C23×D3C2×D411yescharacteristic
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2411yescharacteristic
215C22×Dic3—21no—
216C22×Dic3—21no—
217C22×Dic3—21no—
218C22×Dic3C2×D411yescharacteristic
219C22×Dic3C2×D411yescharacteristic
220C2×D12—21no—
221C2×D12—21no—
222C2×D12—21no—
223C2×D12—21no—
224C2×D12—24no—
225C2×D12—22no—
226C2×D12—22no—
227C2×D12—21no—
228C2×D12—24no—
229C2×D12—41no—
230C2×D12—42no—
231C2×D12—42no—
232C2×D12—81no—
233C2×D12—81no—
234C2×D12C2×D412yes—
235C2×C4×D3—21no—
236C2×C4×D3—21no—
237C2×C4×D3—21no—
238C2×C4×D3—21no—
239C2×C4×D3—21no—
240C2×C4×D3—21no—
241C2×C4×D3—21no—
242C2×C4×D3—21no—
243C2×C4×D3—21no—
244C2×C4×D3—21no—
245C2×C4×D3—24no—
246C2×C4×D3—24no—
247C2×C4×D3—81no—
248C2×C4×D3—81no—
249C2×C4×D3—81no—
250C2×C4×D3—81no—
251C2×C4×D3C2×D412yes—
252C2×C4×D3C2×D412yes—
253C2×C3×C8—21no—
254C2×C3×C8—21no—
255C2×C3×C8—21no—
256C2×C3×C8—21no—
257C2×C3×C8—21no—
258C2×C3×C8#4112yes—
259C3×C4⋊C4—24no—
260C3×C4⋊C4—24no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—42no—
268C3×C4⋊C4C2×D412yes—
269C3×C4⋊C4C2×D412yes—
270C3×C42—21no—
271C3×C42—21no—
272(C2×D3)⋊C4—24no—
273(C2×D3)⋊C4—24no—
274(C2×D3)⋊C4—22no—
275(C2×D3)⋊C4—24no—
276(C2×D3)⋊C4—22no—
277(C2×D3)⋊C4—24no—
278(C2×D3)⋊C4—42no—
279(C2×D3)⋊C4—42no—
280(C2×D3)⋊C4—81no—
281(C2×D3)⋊C4—81no—
282C4⋊Dic3—21no—
283C4⋊Dic3—22no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286C4⋊Dic3—21no—
287C4⋊Dic3—21no—
288C4⋊Dic3C2×D412yes—
289Dic3⋊C4—24no—
290Dic3⋊C4—81no—
291C4×Dic3—24no—
292C4×Dic3—42no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8#4112yes—
299D3×C8—28no—
300C22×D4—31no—
301C22×D4—31no—
302C22×D4—61no—
303C22×D4—61no—
304C23×C4—31no—
305C23×C4—31no—
306C23×C4—61no—
307C23×C4—61no—
308C22×C8—31no—
309C22×C8—31no—
310C22×C8—62no—
311C22×C8—62no—
312C22×C8—62no—
313C22×C8C22×D311yescharacteristic
314C22×C8C22×D311yescharacteristic
315#126—68no—
316#125—22no—
317#125—22no—
318#123—68no—
319#121—34no—
320#121—62no—
321#121—62no—
322#121—68no—
323#121—62no—
324C4×D4—62no—
325C4×D4—62no—
326C4×D4—62no—
327C4×D4—62no—
328C4×D4—68no—
329#117—34no—
330#117—62no—
331#117—62no—
332#117—62no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—31no—
337C2×C4⋊C4—31no—
338C2×C4⋊C4—31no—
339C2×C4⋊C4—31no—
340C2×C4⋊C4—62no—
341C2×C4⋊C4—61no—
342C2×C4⋊C4—62no—
343C2×C4⋊C4—61no—
344C2×C4⋊C4C22×D311yescharacteristic
345C2×C4⋊C4C22×D311yescharacteristic
346C2×C4⋊C4C22×D311yescharacteristic
347C2×C4⋊C4C22×D311yescharacteristic
348C2×C22⋊C4—31no—
349C2×C22⋊C4—31no—
350C2×C22⋊C4—61no—
351C2×C22⋊C4—61no—
352C2×C22⋊C4—61no—
353C2×C22⋊C4—61no—
354C2×C22⋊C4—61no—
355C2×C22⋊C4—61no—
356C2×C22⋊C4—61no—
357C2×C22⋊C4—61no—
358C2×C42—61no—
359C2×C42—61no—
360C2×C42C22×D311yescharacteristic
361#107—22no—
362#107—62no—
363#107—62no—
364#106—22no—
365#106—62no—
366#106—62no—
367#102—62no—
368#102—62no—
369#102—62no—
370#102—62no—
371C22⋊C8—62no—
372C22⋊C8—62no—
373C22⋊C8—62no—
374#95—21no—
375#95—61no—
376#95—61no—
377#95—61no—
378#95—61no—
379C23×C3C22×D411yescharacteristic
380C22×D3—21no—
381C22×D3—21no—
382C22×D3—21no—
383C22×D3—21no—
384C22×D3—21no—
385C22×D3—21no—
386C22×D3—21no—
387C22×D3—21no—
388C22×D3—21no—
389C22×D3—21no—
390C22×D3—21no—
391C22×D3—21no—
392C22×D3—22no—
393C22×D3—41no—
394C22×D3—41no—
395C22×D3—41no—
396C22×D3—41no—
397C22×D3—41no—
398C22×D3—41no—
399C22×D3#12012yes—
400C22×D3#13512yes—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—21no—
404C2×C3×C4—21no—
405C2×C3×C4—21no—
406C2×C3×C4—21no—
407C2×C3×C4—21no—
408C2×C3×C4—21no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4C22×D411yescharacteristic
420C2×C3×C4C22×D411yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C2×C3×C4C2×#4111yescharacteristic
423C2×C3×C42−1+411yescharacteristic
424C2×C3×C42−1+411yescharacteristic
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—22no—
428C2×Dic3—21no—
429C2×Dic3—21no—
430C2×Dic3—21no—
431C2×Dic3—41no—
432C2×Dic3—41no—
433C2×Dic3—41no—
434C2×Dic3—41no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3#12012yes—
440D12—22no—
441D12—22no—
442D12—44no—
443D12—48no—
444D12—41no—
445D12—41no—
446D12—84no—
447C4×D3—22no—
448C4×D3—22no—
449C4×D3—22no—
450C4×D3—22no—
451C4×D3—41no—
452C4×D3—41no—
453C4×D3—41no—
454C4×D3—41no—
455C4×D3—84no—
456C4×D3—84no—
457C3×C8—22no—
458C3×C8—41no—
459C3⋊C8—22no—
460C3⋊C8—41no—
461C24—31no—
462C24—31no—
463C24—61no—
464C2×D4—32no—
465C2×D4—62no—
466C2×D4—62no—
467C2×D4—64no—
468C2×D4—64no—
469C2×D4—61no—
470C2×D4—61no—
471C2×D4—61no—
472C2×D4—61no—
473C2×D4—61no—
474C2×D4—121no—
475C2×D4—122no—
476C2×D4—122no—
477C2×D4—241no—
478C2×D4—241no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—31no—
484C22×C4—32no—
485C22×C4—32no—
486C22×C4—31no—
487C22×C4—64no—
488C22×C4—64no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—61no—
499C22×C4—61no—
500C22×C4—61no—
501C22×C4—61no—
502C22×C4—241no—
503C22×C4—241no—
504C22×C4—241no—
505C22×C4—241no—
506C22×C4D3×D411yescharacteristic
507C22×C4D3×D411yescharacteristic
508C22×C4C23×D311yescharacteristic
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—32no—
515C2×C8—68no—
516C2×C8—61no—
517C2×C8—61no—
518C2×C8—61no—
519C2×C8—61no—
520C2×C8—61no—
521C2×C8#23912yes—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—32no—
531C4⋊C4—42no—
532C4⋊C4—62no—
533C4⋊C4—64no—
534C4⋊C4—61no—
535C4⋊C4—61no—
536C4⋊C4—61no—
537C4⋊C4—61no—
538C4⋊C4—61no—
539C4⋊C4—241no—
540C4⋊C4D3×D412yes—
541C4⋊C4D3×D412yes—
542C22⋊C4—62no—
543C22⋊C4—64no—
544C22⋊C4—62no—
545C22⋊C4—64no—
546C22⋊C4—64no—
547C22⋊C4—64no—
548C22⋊C4—122no—
549C22⋊C4—122no—
550C22⋊C4—241no—
551C22⋊C4—241no—
552C42—21no—
553C42—21no—
554C42—64no—
555C42—122no—
556C22×C3C2×#12011yescharacteristic
557C22×C3#54711yescharacteristic
558C22×C3#54711yescharacteristic
559C22×C3C2×#13511yescharacteristic
560C22×C3#57511yescharacteristic
561C22×C3#57611yescharacteristic
562C22×C3#57711yescharacteristic
563C2×D3—22no—
564C2×D3—22no—
565C2×D3—22no—
566C2×D3—22no—
567C2×D3—22no—
568C2×D3—22no—
569C2×D3—41no—
570C2×D3—41no—
571C2×D3—41no—
572C2×D3—41no—
573C2×D3—41no—
574C2×D3—41no—
575C2×D3—41no—
576C2×D3—41no—
577C2×D3—42no—
578C2×D3—42no—
579C2×D3—42no—
580C2×D3—81no—
581C2×D3—81no—
582C2×D3—81no—
583C2×D3—81no—
584C3×C4—41no—
585C3×C4—42no—
586C3×C4—41no—
587C3×C4—42no—
588C3×C4—81no—
589C3×C4—81no—
590C3×C4#52511yescharacteristic
591C3×C4#53611yescharacteristic
592C3×C4#54711yescharacteristic
593C3×C4#54711yescharacteristic
594Dic3—22no—
595Dic3—41no—
596Dic3—42no—
597Dic3—81no—
598Dic3—81no—
599C23—32no—
600C23—32no—
601C23—61no—
602C23—61no—
603C23—61no—
604C23—61no—
605C23—61no—
606C23—61no—
607C23—61no—
608C23—61no—
609C23—61no—
610C23—61no—
611C23—61no—
612C23—61no—
613C23—62no—
614C23—121no—
615C23—121no—
616C23—121no—
617C23—121no—
618C23—121no—
619C23—121no—
620C23C2×D3×D411yescharacteristic
621D4—62no—
622D4—62no—
623D4—124no—
624D4—128no—
625D4—121no—
626D4—121no—
627D4—244no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—32no—
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—41no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—62no—
650C2×C4—62no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—61no—
654C2×C4—62no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—121no—
658C2×C4—121no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—244no—
670C2×C4—244no—
671C2×C4C2×D3×D411yescharacteristic
672C2×C4C2×D3×D411yescharacteristic
673C2×C4C2×#23911yescharacteristic
674C2×C4#100711yescharacteristic
675C2×C4#100711yescharacteristic
676C2×C4D3×#4111yescharacteristic
677C8—22no—
678C8—41no—
679C8—62no—
680C8—121no—
681C2×C3#240611yescharacteristic
682C2×C3#300211yescharacteristic
683C2×C3#301211yescharacteristic
684C2×C3#333711yescharacteristic
685C2×C3#333911yescharacteristic
686C2×C3#334711yescharacteristic
687C2×C3#335011yescharacteristic
688D3—42no—
689D3—42no—
690D3—82no—
691C22—62no—
692C22—62no—
693C22—62no—
694C22—62no—
695C22—62no—
696C22—62no—
697C22—121no—
698C22—121no—
699C22—121no—
700C22—121no—
701C22—121no—
702C22—121no—
703C22—121no—
704C22—121no—
705C22—122no—
706C22—122no—
707C22—122no—
708C22—241no—
709C22—241no—
710C22—241no—
711C22—241no—
712C22D3×#12011yescharacteristic
713C22#563111yescharacteristic
714C22#572611yescharacteristic
715C22D3×#13511yescharacteristic
716C22#576911yescharacteristic
717C22#577311yescharacteristic
718C22#577811yescharacteristic
719C4—41no—
720C4—42no—
721C4—41no—
722C4—42no—
723C4—62no—
724C4—81no—
725C4—81no—
726C4—122no—
727C4—121no—
728C4—241no—
729C4—241no—
730C4#562711yescharacteristic
731C4#563111yescharacteristic
732C4#572411yescharacteristic
733C4#572611yescharacteristic
734C3#2409011yescharacteristic, complemented, Sylow
735C2—122no—
736C2—122no—
737C2—242no—
738C2#7724911yescharacteristic
739C2#8008211yescharacteristic
740C2#8023111yescharacteristic
741C2#8119811yescharacteristic
742C2#8125411yescharacteristic
743C2#8192611yescharacteristic
744C2#8199711yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2059C2
socleC23×C3C22×D4
prime radicalC2×#5695C2
hypercenter#2059D3
hypocenterC3#24090
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2059

Complements

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

NH ≅ G/Ntype
2. C2×#4880C2semidirect
3. C2×#4866C2semidirect
4. #76229C2semidirect
5. C3×#2059C2semidirect
6. #71739C2semidirect
7. #70634C2semidirect
8. #70579C2semidirect
9. #69626C2semidirect
10. #68883C2semidirect
11. #68874C2semidirect
12. #68873C2semidirect
13. #68823C2semidirect
14. #68670C2semidirect
15. #68668C2semidirect
69. #2059D3semidirect
734. C3#24090semidirect

Maximal subgroups

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

subgroupindex
C2×#56952
C2×#48802
C2×#48662
#762292
C3×#20592
#717392
#706342
#705792
#696262
#688832
#688742
#688732
#688232
#686702
#686682
#240903