Finite Group Databasebeta

← #370545

Subgroups — #370545

Order 512.

1279 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3084C211yesmaximal, characteristic
2#21326C211yesmaximal, characteristic, complemented
3#20881C211yesmaximal, characteristic
4C2×#1765C211yesmaximal, characteristic
5#20348C211yesmaximal, characteristic
6#11392C211yesmaximal, characteristic, complemented
7#11366C211yesmaximal, characteristic, complemented
8#11239C211yesmaximal, characteristic, complemented
9#11217C211yesmaximal, characteristic, complemented
10#10896C211yesmaximal, characteristic, complemented
11#10883C211yesmaximal, characteristic, complemented
12#10863C211yesmaximal, characteristic, complemented
13#10781C211yesmaximal, characteristic
14#10781C211yesmaximal, characteristic
15#10774C211yesmaximal, characteristic
16C22×#131C2211yescharacteristic
17C2×#544C2211yescharacteristic
18C2×#520C2211yescharacteristic
19C2×#520C2211yescharacteristic
20#3084—24no—
21#3084C418yescomplemented
22C2×#479—21no—
23C2×#475—21no—
24C2×#478—21no—
25C2×#476—21no—
26C2×#428C2211yescharacteristic
27C22×#107C2211yescharacteristic
28C22×#106C2211yescharacteristic
29C2×#424C2211yescharacteristic
30C22×#104C2211yescharacteristic
31C2×#417C2211yescharacteristic
32C2×#417C2211yescharacteristic
33C2×#416C2211yescharacteristic
34C2×#405C2211yescharacteristic
35C22×#97C2211yescharacteristic
36#2317C2211yescharacteristic
37#1993—21no—
38#1992—21no—
39#1991—21no—
40#1990—21no—
41#1863—21no—
42#1863—21no—
43#1862—21no—
44#1862—21no—
45#1765—24no—
46C2×#343C2211yescharacteristic
47C2×#343C2211yescharacteristic
48C2×#343C2211yescharacteristic
49C2×#343C2211yescharacteristic
50C2×#341C2211yescharacteristic
51C2×#341C2211yescharacteristic
52#1736—21no—
53#1736—21no—
54#1736C2211yescharacteristic
55#1736C2211yescharacteristic
56#1736C2211yescharacteristic
57#1736C2211yescharacteristic
58#1736C2211yescharacteristic
59#1735—21no—
60#1735C2211yescharacteristic
61C2×#340—21no—
62C2×#340C2211yescharacteristic
63C2×#340C2211yescharacteristic
64C2×#339C2211yescharacteristic
65C2×#339C2211yescharacteristic
66C2×#339C2211yescharacteristic
67#1729C2211yescharacteristic
68C4⋊#95C2211yescharacteristic
69C4⋊#95C2211yescharacteristic
70C22×#41C2311yescharacteristic
71C2×#131—22no—
72C2×#131—22no—
73C2×#131—22no—
74C2×#131—41no—
75C2×#131—41no—
76C2×#131Q814yescomplemented
77C22×M16—21no—
78C22×M16C2311yescharacteristic
79C22×M16C2311yescharacteristic
80C22×M16C2311yescharacteristic
81C22×M16C2311yescharacteristic
82C23×C8—21no—
83C23×C8C2311yescharacteristic
84C23×C8C2311yescharacteristic
85#544—22no—
86#544—22no—
87#544—41no—
88#544C2×C414yescomplemented
89C2×C4⋊Q8—21no—
90C2×C4⋊Q8—21no—
91C2×#125—21no—
92C2×#125—21no—
93C2×C22⋊Q8—41no—
94#520—22no—
95#520—22no—
96#520—22no—
97#520—22no—
98#520—22no—
99#520—41no—
100#520—41no—
101#520C2×C414yes—
102C2×C4×Q8—21no—
103C2×C4×Q8—21no—
104C2×C4×D4—21no—
105C2×C4×D4—21no—
106C2×C4×D4—41no—
107C2×C4×D4—41no—
108C2×#117—21no—
109C2×#117—21no—
110C2×#117C2311yescharacteristic
111C2×#117C2311yescharacteristic
112C2×#117C2311yescharacteristic
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C42C2311yescharacteristic
120#479—28no—
121#478—28no—
122#476—28no—
123#475—28no—
124#428—22no—
125#428C2×C414yescomplemented
126C2×#107—21no—
127C2×#107—21no—
128C2×#107—21no—
129C2×#107—22no—
130C2×#107—41no—
131C2×#106—21no—
132C2×#106—21no—
133C2×#106—22no—
134C2×#106—21no—
135C2×#106C2×C414yescomplemented
136#424—22no—
137#424C2×C414yescomplemented
138C2×C4⋊C8—21no—
139C2×C4⋊C8—21no—
140C2×#104—22no—
141C2×#104—22no—
142C2×#104Q814yescomplemented
143#417—22no—
144#417—22no—
145#417—22no—
146#417C2×C414yes—
147#416C2×C414yes—
148#416D414yes—
149C2×#103—21no—
150C2×#103—21no—
151C2×#103D411yescharacteristic
152C2×#103D411yescharacteristic
153C2×#102—21no—
154C2×#102—21no—
155C2×#102D411yescharacteristic
156C2×#102D411yescharacteristic
157#405—22no—
158#405—41no—
159C2×#97—22no—
160C2×#97—21no—
161C2×#97—22no—
162C2×#97—41no—
163C2×C4×C8—21no—
164#389—21no—
165#389—21no—
166#385—41no—
167#384—21no—
168#382—21no—
169C2×#95—41no—
170C2×#95—41no—
171#343—22no—
172#343—41no—
173#343—41no—
174#343—41no—
175#341—22no—
176#341—22no—
177#340—21no—
178#340—21no—
179#340—21no—
180#340—21no—
181#340—21no—
182#340—21no—
183#340—21no—
184#340—21no—
185#340—21no—
186#340—21no—
187#340—21no—
188#340—21no—
189#340—21no—
190#340—21no—
191#340D411yescharacteristic
192#340D411yescharacteristic
193#340D411yescharacteristic
194#340D411yescharacteristic
195#339—22no—
196#339—22no—
197#339—41no—
198#336—21no—
199#336—21no—
200C2×#41—21no—
201C2×#41—21no—
202C2×#41—21no—
203C2×#41—21no—
204C2×#41—21no—
205C2×#41—21no—
206C2×#41C22×C412yes—
207C2×#41C2×D412yes—
208C2×#41C2×Q812yes—
209C2×#41C2×Q812yes—
210C2×#41#4112yes—
211C2×#41#4112yes—
212C22×Q8—41no—
213C22×Q8C2×D411yescharacteristic
214C22×D4—21no—
215C22×D4C2×D411yescharacteristic
216C23×C4—21no—
217C23×C4—21no—
218C23×C4—21no—
219C23×C4—21no—
220C23×C4—21no—
221C23×C4—21no—
222C23×C4—41no—
223C23×C4—41no—
224C23×C4C2411yescharacteristic
225#131—28no—
226#131—44no—
227#131—44no—
228#131—44no—
229C2×M16—21no—
230C2×M16—21no—
231C2×M16—21no—
232C2×M16—24no—
233C2×M16—21no—
234C2×M16—21no—
235C2×M16—21no—
236C2×M16—21no—
237C2×M16—21no—
238C2×M16—21no—
239C2×M16—21no—
240C2×M16—21no—
241C2×M16—21no—
242C2×M16—21no—
243C2×M16—21no—
244C2×M16—21no—
245C2×M16—21no—
246C2×M16—21no—
247C2×M16—21no—
248C2×M16—21no—
249C2×M16—21no—
250C2×M16—21no—
251C2×M16—42no—
252C2×M16—42no—
253C2×M16C22×C412yes—
254C2×M16C2×Q812yes—
255C2×M16C2×Q812yes—
256C22×C8—21no—
257C22×C8—21no—
258C22×C8—21no—
259C22×C8—21no—
260C22×C8—21no—
261C22×C8—21no—
262C22×C8—21no—
263C22×C8—21no—
264C22×C8—21no—
265C22×C8—21no—
266C22×C8—21no—
267C22×C8—24no—
268C22×C8—21no—
269C22×C8—42no—
270C22×C8—42no—
271C22×C8C22×C412yes—
272C22×C8C2×D411yescharacteristic
273C22×C8C2×D411yescharacteristic
274C22×C8C2×D412yes—
275C22×C8C2×D411yescharacteristic
276C22×C8C2×D411yescharacteristic
277C22×C8C2×Q812yes—
278C22×C8#4112yes—
279C4⋊Q8—24no—
280C4⋊Q8—24no—
281C4⋊Q8—42no—
282C4⋊Q8—42no—
283#125—24no—
284#125—24no—
285#125—42no—
286#125—42no—
287C22⋊Q8—44no—
288C22⋊Q8—44no—
289C4×Q8—24no—
290C4×Q8—42no—
291C4×Q8—42no—
292C4×Q8—42no—
293C4×D4—24no—
294C4×D4—42no—
295C4×D4—44no—
296C4×D4—44no—
297C4×D4—42no—
298C4×D4—44no—
299C4×D4—44no—
300C4×D4—42no—
301#117—21no—
302#117—21no—
303#117—21no—
304#117—21no—
305#117—24no—
306#117—21no—
307#117—21no—
308#117—21no—
309#117—21no—
310#117—24no—
311#117—42no—
312#117—42no—
313#117C22×C412yes—
314#117C22×C412yes—
315#117C2×D412yes—
316#117#4112yes—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—42no—
342C2×C4⋊C4—41no—
343C2×C4⋊C4—41no—
344C2×C4⋊C4—41no—
345C2×C4⋊C4—41no—
346C2×C4⋊C4—41no—
347C2×C4⋊C4—41no—
348C2×C4⋊C4—41no—
349C2×C4⋊C4C22×C412yes—
350C2×C4⋊C4C22×C412yes—
351C2×C4⋊C4C2×D411yescharacteristic
352C2×C4⋊C4C2×D411yescharacteristic
353C2×C4⋊C4C2×D411yescharacteristic
354C2×C4⋊C4C2×D411yescharacteristic
355C2×C4⋊C4C2×D411yescharacteristic
356C2×C4⋊C4C2×D411yescharacteristic
357C2×C4⋊C4#4112yes—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—21no—
360C2×C22⋊C4—21no—
361C2×C22⋊C4—41no—
362C2×C22⋊C4—41no—
363C2×C42—21no—
364C2×C42—21no—
365C2×C42—21no—
366C2×C42—21no—
367C2×C42—21no—
368C2×C42—21no—
369C2×C42—21no—
370C2×C42—21no—
371C2×C42—41no—
372C2×C42—41no—
373C2×C42C2×Q812yes—
374#107—24no—
375#107—42no—
376#107—42no—
377#106—24no—
378#106—24no—
379#106—24no—
380C4⋊C8—24no—
381C4⋊C8—24no—
382#104—28no—
383#103—24no—
384#103—42no—
385#103C22⋊C414yes—
386#103C22⋊C414yes—
387#102—24no—
388#102—42no—
389#102C22⋊C414yes—
390#102C22⋊C414yes—
391#97—42no—
392#97—44no—
393C4×C8—42no—
394#95—41no—
395#95—41no—
396#95—82no—
397#95—82no—
398C24—21no—
399C24H(5,𝔽2)11yescharacteristic
400#41—22no—
401#41—22no—
402#41—22no—
403#41—22no—
404#41—22no—
405#41—22no—
406#41—22no—
407#41—22no—
408#41—22no—
409#41—22no—
410#41—22no—
411#41—22no—
412#41C4×Q814yes—
413#41C4×Q814yes—
414#41C22⋊Q814yes—
415#41C22⋊Q814yes—
416C2×Q8—21no—
417C2×Q8—21no—
418C2×Q8—21no—
419C2×Q8—44no—
420C2×Q8—161no—
421C2×Q8—161no—
422C2×Q8C2×C22⋊C412yes—
423C2×Q8#12412yes—
424C2×Q8C4⋊Q812yes—
425C2×D4—22no—
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—22no—
431C2×D4—21no—
432C2×D4—21no—
433C2×D4—21no—
434C2×D4C2×C22⋊C412yes—
435C2×D4#12412yes—
436C2×D4C4⋊Q812yes—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—44no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—41no—
463C22×C4—41no—
464C22×C4—44no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—81no—
472C22×C4—81no—
473C22×C4—81no—
474C22×C4—81no—
475C22×C4—81no—
476C22×C4—81no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4—161no—
480C22×C4—161no—
481C22×C4—161no—
482C22×C4—161no—
483C22×C4C23×C411yescharacteristic
484C22×C4C22×D411yescharacteristic
485C22×C4C22×D411yescharacteristic
486C22×C4C22×D411yescharacteristic
487C22×C4C22×Q811yescharacteristic
488C22×C4C22×Q811yescharacteristic
489C22×C4C2×#4111yescharacteristic
490C22×C4C2×#4111yescharacteristic
491C22×C4C2×#4111yescharacteristic
492C22×C4C2×#4111yescharacteristic
493C22×C4C2×#4111yescharacteristic
494C22×C4H(5,𝔽2)11yescharacteristic
495C22×C4H(5,𝔽2)11yescharacteristic
496C22×C42−1+411yescharacteristic
497M16—22no—
498M16—22no—
499M16—22no—
500M16—22no—
501M16—22no—
502M16—22no—
503M16—48no—
504M16—41no—
505M16—41no—
506M16—41no—
507M16—41no—
508M16—41no—
509M16—41no—
510M16—41no—
511M16—41no—
512M16—41no—
513M16—41no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—22no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—48no—
534C2×C8—41no—
535C2×C8—41no—
536C2×C8—41no—
537C2×C8—41no—
538C2×C8—41no—
539C2×C8—41no—
540C2×C8—41no—
541C2×C8—41no—
542C2×C8—41no—
543C2×C8C2×C22⋊C412yes—
544C2×C8C2×C22⋊C412yes—
545C2×C8C22⋊Q812yes—
546C2×C8C22⋊Q812yes—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—21no—
556C4⋊C4—22no—
557C4⋊C4—21no—
558C4⋊C4—22no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—41no—
567C4⋊C4—41no—
568C4⋊C4—41no—
569C4⋊C4—41no—
570C4⋊C4—41no—
571C4⋊C4—41no—
572C4⋊C4—41no—
573C4⋊C4—41no—
574C4⋊C4—41no—
575C4⋊C4—41no—
576C4⋊C4—161no—
577C4⋊C4—161no—
578C4⋊C4C2×C22⋊C412yes—
579C4⋊C4C2×C22⋊C412yes—
580C4⋊C4C4×D412yes—
581C4⋊C4C4×D412yes—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—44no—
597C42—44no—
598C42—41no—
599C42—41no—
600C42—41no—
601C42—41no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23#51811yescharacteristic
614C23#53811yescharacteristic
615C23#54411yescharacteristic
616C23D4211yescharacteristic
617C23#54611yescharacteristic
618C23#55111yescharacteristic
619C23#55411yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—22no—
623Q8—164no—
624Q8#39114yes—
625D4—24no—
626D4—24no—
627D4—24no—
628D4—24no—
629D4—22no—
630D4—22no—
631D4—22no—
632D4#39114yes—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—81no—
665C2×C4—81no—
666C2×C4—81no—
667C2×C4—81no—
668C2×C4—81no—
669C2×C4—81no—
670C2×C4—81no—
671C2×C4—81no—
672C2×C4—81no—
673C2×C4—81no—
674C2×C4—82no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4—82no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—164no—
682C2×C4—161no—
683C2×C4—161no—
684C2×C4—161no—
685C2×C4—164no—
686C2×C4—161no—
687C2×C4C22×C22⋊C411yescharacteristic
688C2×C4C2×C4×D411yescharacteristic
689C2×C4C2×C4×Q811yescharacteristic
690C2×C4C2×C4×Q811yescharacteristic
691C2×C4C4×#4111yescharacteristic
692C2×C4#52011yescharacteristic
693C2×C4C2×C22⋊Q811yescharacteristic
694C2×C4C2×C22⋊Q811yescharacteristic
695C2×C4C2×C22⋊Q811yescharacteristic
696C2×C4#52511yescharacteristic
697C2×C4C2×#12411yescharacteristic
698C2×C4#52911yescharacteristic
699C2×C4C2×C4⋊Q811yescharacteristic
700C2×C4#53311yescharacteristic
701C2×C4#53911yescharacteristic
702C2×C4#54311yescharacteristic
703C2×C4D4211yescharacteristic
704C2×C4#54611yescharacteristic
705C2×C4#54611yescharacteristic
706C2×C4#54611yescharacteristic
707C2×C4#54611yescharacteristic
708C2×C4#54711yescharacteristic
709C2×C4#54711yescharacteristic
710C2×C4D4×Q811yescharacteristic
711C2×C4#55111yescharacteristic
712C2×C4#55211yescharacteristic
713C2×C4#55411yescharacteristic
714C2×C4#55411yescharacteristic
715C8—22no—
716C8—22no—
717C8—22no—
718C8—22no—
719C8—42no—
720C8—42no—
721C8—42no—
722C8—81no—
723C22—21no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—24no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22#232911yescharacteristic
743C22D4×C22⋊C411yescharacteristic
744C22#236811yescharacteristic
745C22#243811yescharacteristic
746C22#244011yescharacteristic
747C22#245011yescharacteristic
748C22#247211yescharacteristic
749C22#328811yescharacteristic
750C22#328811yescharacteristic
751C22#328911yescharacteristic
752C22#328911yescharacteristic
753C4—24no—
754C4—42no—
755C4—42no—
756C4—42no—
757C4—42no—
758C4—82no—
759C4—81no—
760C4—82no—
761C4—81no—
762C4—82no—
763C4—82no—
764C4—161no—
765C4C2×#39111yescharacteristic
766C4C4×C22⋊Q811yescharacteristic
767C4#233911yescharacteristic
768C4#236011yescharacteristic
769C4#243711yescharacteristic
770C4#244911yescharacteristic
771C4#248811yescharacteristic
772C4#254911yescharacteristic
773C2—21no—
774C2—21no—
775C2—21no—
776C2—21no—
777C2—44no—
778C2#1405211yescharacteristic
779C2#2246411yescharacteristic
780C2#2246411yescharacteristic
781C2#2608411yescharacteristic
782C2#2608511yescharacteristic
783C2#2729211yescharacteristic
784C2#2729311yescharacteristic
subgroupG/H
center, socleC23D42
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC22×#41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #21326C2semidirect
6. #11392C2semidirect
7. #11366C2semidirect
8. #11239C2semidirect
9. #11217C2semidirect
10. #10896C2semidirect
11. #10883C2semidirect
12. #10863C2semidirect
21. #3084C4semidirect
76. C2×#131Q8semidirect
88. #544C2×C4semidirect
125. #428C2×C4semidirect
135. C2×#106C2×C4semidirect
137. #424C2×C4semidirect
142. C2×#104Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#30842
#213262
#208812
C2×#17652
#203482
#113922
#113662
#112392
#112172
#108962
#108832
#108632
#107812
#107742