Finite Group Databasebeta

← #10830038

Subgroups — #10830038

Order 768.

1138 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5681C211yesmaximal, characteristic
2C2×C3×#464C211yesmaximal, characteristic, complemented
3#82481C211yesmaximal, characteristic, complemented
4C2×C4×#215C211yesmaximal, characteristic, complemented
5#72072C211yesmaximal, characteristic, complemented
6#72065C211yesmaximal, characteristic, complemented
7#72056C211yesmaximal, characteristic
8#72047C211yesmaximal, characteristic, complemented
9#71725C211yesmaximal, characteristic, complemented
10#70480C211yesmaximal, characteristic, complemented
11#70472C211yesmaximal, characteristic, complemented
12#70279C211yesmaximal, characteristic, complemented
13#70237C211yesmaximal, characteristic, complemented
14#70211C211yesmaximal, characteristic
15#70169C211yesmaximal, characteristic, complemented
16#24194—31nomaximal, Sylow
17C22×C3×Q16C2211yescharacteristic
18C22×C3×SD16C2211yescharacteristic
19C2×C3×#124C2211yescharacteristic
20C2×C3×C4×Q8C2211yescharacteristic
21C2×#947C2211yescharacteristic
22C2×Q8×Dic3C2211yescharacteristic
23C22×#215C2211yescharacteristic
24C2×#940C2211yescharacteristic
25C2×D4×Dic3C2211yescharacteristic
26#5681—24no—
27#5681—24no—
28C2×#886—21no—
29C2×#885—21no—
30C2×#883—21no—
31C2×#67⋊C4—21no—
32C2×C4×D12C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C3×#464—24no—
35C2×C3×C4⋊C8C2211yescharacteristic
36C2×C3×#103C2211yescharacteristic
37C2×C3×#102C2211yescharacteristic
38#5229C2211yescharacteristic
39#5229C2211yescharacteristic
40C2×#835C2211yescharacteristic
41C2×#835C2211yescharacteristic
42C2×#835C2211yescharacteristic
43C2×#832C2211yescharacteristic
44C2×#832C2211yescharacteristic
45C2×#821C2211yescharacteristic
46C2×#821C2211yescharacteristic
47C4×#215—24no—
48#4986—21no—
49#4979—21no—
50#4972C2211yescharacteristic
51#4972C2211yescharacteristic
52C2×#809C2211yescharacteristic
53C2×#808C2211yescharacteristic
54#4936C2211yescharacteristic
55#4933—21no—
56#4933—21no—
57C2×C4×C3⋊C8C2211yescharacteristic
58#4551C2211yescharacteristic
59#4551C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4550C2211yescharacteristic
63#4550C2211yescharacteristic
64C2×#559—31no—
65C2×#464D311yescharacteristic, complemented
66C2×C4×SD16—31no—
67#2581—31no—
68#2042—31no—
69#2041—31no—
70#2015—31no—
71#2014—31no—
72#1984—31no—
73#1958—31no—
74#1878—31no—
75#1877—31no—
76#1865—31no—
77#1864—31no—
78#1804—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×C3×Q8C2311yescharacteristic
81C22×C3×D4C2311yescharacteristic
82C22×#67—21no—
83C22×#67—21no—
84C23×Dic3—21no—
85C22×D12C2311yescharacteristic
86C22×C4×D3—21no—
87C22×Dic6D411yescharacteristic
88C2×C3×Q16—22no—
89C2×C3×Q16—22no—
90C2×C3×Q16—41no—
91C2×C3×SD16—22no—
92C2×C3×SD16—22no—
93C2×C3×SD16—41no—
94C22×C3×C8C2311yescharacteristic
95C22×C3×C8C2311yescharacteristic
96C3×#124—22no—
97C3×#124D414yes—
98C3×C4×Q8—22no—
99C3×C4×Q8—22no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C22⋊C4—21no—
103C2×C3×C22⋊C4—21no—
104C2×C3×C42—21no—
105C2×C3×C42C2311yescharacteristic
106C2×#217—21no—
107#947—22no—
108#947—22no—
109Q8×Dic3—22no—
110Q8×Dic3—22no—
111C2×#215—22no—
112C2×#215—22no—
113C2×#215—22no—
114#940—22no—
115#940—22no—
116D4×Dic3—22no—
117D4×Dic3—22no—
118C2×(C2×D3)⋊C4—21no—
119C2×(C2×D3)⋊C4—21no—
120C2×(C2×D3)⋊C4—21no—
121C2×C4⋊Dic3—21no—
122C2×C4⋊Dic3D411yescharacteristic
123C2×C4⋊Dic3C2311yescharacteristic
124C2×C4⋊Dic3C2311yescharacteristic
125C2×C4⋊Dic3C2311yescharacteristic
126C2×Dic3⋊C4—21no—
127C2×Dic3⋊C4—21no—
128C2×Dic3⋊C4D411yescharacteristic
129C2×Dic3⋊C4D411yescharacteristic
130C2×C4×Dic3—21no—
131C2×C4×Dic3C2311yescharacteristic
132C2×C4×Dic3C2311yescharacteristic
133C22×C3⋊C8C2311yescharacteristic
134C22×C3⋊C8C2311yescharacteristic
135#886—28no—
136#885—28no—
137#883—28no—
138#67⋊C4—28no—
139C4×D12—22no—
140C4×D12D414yes—
141C4×Dic6—22no—
142C4×Dic6—22no—
143C3×C4⋊C8—22no—
144C3×#103—22no—
145C3×#102—22no—
146#835—22no—
147#835—22no—
148#835—41no—
149#832—22no—
150#832—41no—
151C3⋊#95—21no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157C3⋊#95—21no—
158C3⋊#95—21no—
159#821—41no—
160#821—41no—
161#809—22no—
162#808—22no—
163C4×C3⋊C8—22no—
164C22×Q16C2×D311yescharacteristic
165C22×SD16—31no—
166C22×SD16C2×D311yescharacteristic
167#559—64no—
168#559—64no—
169C2×#127—31no—
170C2×#124—31no—
171C2×#124—61no—
172C2×#124C2×D311yescharacteristic
173C2×#123—61no—
174C2×#123—61no—
175C2×C4×Q8—31no—
176C2×C4×Q8—31no—
177C2×C4×Q8C2×D311yescharacteristic
178C2×C4×D4—31no—
179C2×C4×D4—31no—
180C2×C4×D4—61no—
181#464—24no—
182C4×SD16—64no—
183C2×#106—31no—
184C2×C4⋊C8C2×D311yescharacteristic
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103C2×D311yescharacteristic
189C2×#102—31no—
190C2×#102—31no—
191C2×#102—31no—
192C2×#102—31no—
193C2×#102—31no—
194C2×#102C2×D311yescharacteristic
195C2×C4×C8—31no—
196#400—61no—
197#395—61no—
198#391—31no—
199#391—31no—
200#389—31no—
201#389—31no—
202#387—61no—
203#387—61no—
204#382—31no—
205#340—31no—
206#340—31no—
207#336—31no—
208#336—31no—
209#336—31no—
210#336—31no—
211C24×C3—21no—
212C23×D3—21no—
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8—21no—
219C2×C3×Q8—21no—
220C2×C3×Q8—21no—
221C2×C3×Q8—21no—
222C2×C3×Q8—21no—
223C2×C3×Q8C2×D412yes—
224C2×C3×Q8#4112yes—
225C2×C3×D4—21no—
226C2×C3×D4—21no—
227C2×C3×D4—21no—
228C2×C3×D4—21no—
229C2×C3×D4—21no—
230C2×C3×D4C2×D412yes—
231C22×C3×C4—21no—
232C22×C3×C4—21no—
233C22×C3×C4—21no—
234C22×C3×C4C2×D411yescharacteristic
235C22×C3×C4C2×D411yescharacteristic
236C22×C3×C4C2411yescharacteristic
237C2×#67—24no—
238C2×#67—24no—
239C2×#67—42no—
240C2×#67—42no—
241C2×#67—81no—
242C2×#67—81no—
243C22×Dic3—21no—
244C22×Dic3—24no—
245C22×Dic3—21no—
246C22×Dic3—21no—
247C22×Dic3—81no—
248C22×Dic3—81no—
249C22×Dic3C2×D411yescharacteristic
250C22×Dic3C2×D411yescharacteristic
251C22×Dic3C2×D411yescharacteristic
252C22×Dic3C2×D411yescharacteristic
253C2×D12—21no—
254C2×D12—21no—
255C2×D12—21no—
256C2×D12—21no—
257C2×D12—21no—
258C2×D12C2×D412yes—
259C2×C4×D3—24no—
260C2×C4×D3—81no—
261C2×C4×D3—81no—
262C2×Dic6—22no—
263C2×Dic6—22no—
264C2×Dic6—41no—
265C3×Q16—44no—
266C3×SD16—44no—
267C2×C3×C8—21no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8—21no—
272C2×C3×C8—21no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—42no—
276C3×C22⋊C4—24no—
277C3×C22⋊C4—24no—
278C3×C42—42no—
279C3×C42C2×D412yes—
280C3×C42C2×D412yes—
281#217—24no—
282#215—28no—
283(C2×D3)⋊C4—24no—
284(C2×D3)⋊C4—24no—
285(C2×D3)⋊C4—24no—
286C4⋊Dic3—24no—
287C4⋊Dic3—22no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—21no—
293C4⋊Dic3C2×D412yes—
294Dic3⋊C4—22no—
295Dic3⋊C4—22no—
296Dic3⋊C4—42no—
297Dic3⋊C4—42no—
298C4×Dic3—24no—
299C4×Dic3—21no—
300C4×Dic3—21no—
301C4×Dic3—21no—
302C4×Dic3—21no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8—21no—
305C2×C3⋊C8—21no—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8#4112yes—
309C22×Q8—31no—
310C22×Q8C22×D311yescharacteristic
311C22×Q8C22×D311yescharacteristic
312C22×D4—31no—
313C22×D4—61no—
314C22×D4—61no—
315C22×D4C22×D311yescharacteristic
316C23×C4—61no—
317C23×C4—61no—
318C2×Q16—22no—
319C2×Q16—22no—
320C2×Q16—41no—
321C2×SD16—22no—
322C2×SD16—22no—
323C2×SD16—41no—
324C2×SD16—62no—
325C2×SD16—62no—
326C2×SD16—62no—
327C22×C8—31no—
328C22×C8—31no—
329C22×C8C22×D311yescharacteristic
330C22×C8C22×D311yescharacteristic
331#127—62no—
332#127—62no—
333#124—22no—
334#124—68no—
335#124—62no—
336#124—62no—
337#124#6714yes—
338#123—68no—
339#123—68no—
340C4×Q8—22no—
341C4×Q8—22no—
342C4×Q8—62no—
343C4×Q8—62no—
344C4×Q8—62no—
345C4×Q8—62no—
346C4×D4—34no—
347C4×D4—68no—
348C4×D4—62no—
349C4×D4—62no—
350C4×D4—62no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—31no—
353C2×C4⋊C4—31no—
354C2×C4⋊C4—31no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—31no—
357C2×C4⋊C4—31no—
358C2×C4⋊C4—61no—
359C2×C4⋊C4—61no—
360C2×C4⋊C4—61no—
361C2×C4⋊C4C22×D311yescharacteristic
362C2×C22⋊C4—21no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4—61no—
367C2×C22⋊C4—61no—
368C2×C42—21no—
369C2×C42—31no—
370C2×C42—31no—
371C2×C42—61no—
372C2×C42C22×D311yescharacteristic
373#106—62no—
374C4⋊C8—22no—
375#103—22no—
376#103—62no—
377#103—62no—
378#103—121no—
379#102—22no—
380#102—62no—
381#102—62no—
382#102—121no—
383#102—121no—
384#102—121no—
385C4×C8—62no—
386#95—61no—
387#95—61no—
388#95—61no—
389#95—61no—
390#95—61no—
391#95—61no—
392#95—61no—
393#95—61no—
394C23×C3—22no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3—41no—
398C23×C3—41no—
399C23×C3—41no—
400C23×C3—41no—
401C23×C3C22×D411yescharacteristic
402C22×D3—22no—
403C22×D3—41no—
404C22×D3—41no—
405C22×D3—41no—
406C22×D3—41no—
407C22×D3—41no—
408C22×D3—41no—
409C3×Q8—22no—
410C3×Q8—22no—
411C3×Q8—22no—
412C3×Q8—22no—
413C3×Q8—41no—
414C3×Q8—41no—
415C3×Q8—41no—
416C3×Q8—41no—
417C3×D4—22no—
418C3×D4—22no—
419C3×D4—41no—
420C3×D4—41no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—22no—
426C2×C3×C4—22no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—41no—
434C2×C3×C4#12012yes—
435C2×C3×C4#12012yes—
436C2×C3×C4C22×D411yescharacteristic
437C2×C3×C4C22×D411yescharacteristic
438C2×C3×C4C2×#4111yescharacteristic
439C2×C3×C4C2×#4111yescharacteristic
440C2×C3×C4H(5,𝔽2)11yescharacteristic
441C2×C3×C42−1+411yescharacteristic
442#67—48no—
443#67—84no—
444C2×Dic3—21no—
445C2×Dic3—21no—
446C2×Dic3—21no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—22no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—21no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C2×Dic3—41no—
462C2×Dic3—41no—
463C2×Dic3—41no—
464C2×Dic3—84no—
465C2×Dic3#13512yes—
466D12—22no—
467D12—22no—
468D12—41no—
469D12—41no—
470C4×D3—84no—
471Dic6—44no—
472C3×C8—41no—
473C3×C8—41no—
474C3⋊C8—22no—
475C3⋊C8—41no—
476C24—21no—
477C24—61no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—62no—
489C2×Q8—62no—
490C2×Q8—121no—
491C2×Q8#23712yes—
492C2×Q8C2×#6712yes—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—32no—
499C2×D4—64no—
500C2×D4—64no—
501C2×D4—61no—
502C2×D4—61no—
503C2×D4—61no—
504C2×D4—61no—
505C2×D4—61no—
506C2×D4—122no—
507C2×D4—122no—
508C2×D4—241no—
509C2×D4—241no—
510C2×D4C2×#6712yes—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—31no—
515C22×C4—31no—
516C22×C4—31no—
517C22×C4—31no—
518C22×C4—61no—
519C22×C4—64no—
520C22×C4—64no—
521C22×C4—61no—
522C22×C4—61no—
523C22×C4—241no—
524C22×C4—241no—
525C22×C4—241no—
526C22×C4—241no—
527C22×C4D3×D411yescharacteristic
528C22×C4D3×D411yescharacteristic
529C22×C4C23×D311yescharacteristic
530Q16—44no—
531SD16—44no—
532SD16—68no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—32no—
540C2×C8—61no—
541C2×C8—61no—
542C2×C8—61no—
543C2×C8—61no—
544C2×C8—61no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—32no—
548C4⋊C4—42no—
549C4⋊C4—64no—
550C4⋊C4—62no—
551C4⋊C4—62no—
552C4⋊C4—62no—
553C4⋊C4—61no—
554C4⋊C4—61no—
555C4⋊C4—61no—
556C4⋊C4—61no—
557C4⋊C4—61no—
558C4⋊C4—122no—
559C4⋊C4—122no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C22⋊C4—64no—
565C22⋊C4—64no—
566C42—42no—
567C42—64no—
568C42—61no—
569C42—61no—
570C42—61no—
571C42—61no—
572C42D3×D412yes—
573C42C2×#6712yes—
574C22×C3—42no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—81no—
578C22×C3—81no—
579C22×C3—81no—
580C22×C3—81no—
581C22×C3C2×#12011yescharacteristic
582C22×C3#54811yescharacteristic
583C22×C3#55011yescharacteristic
584C22×C3C2×#13511yescharacteristic
585C22×C3#57511yescharacteristic
586C22×C3#57711yescharacteristic
587C22×C3#57711yescharacteristic
588C2×D3—42no—
589C2×D3—42no—
590C2×D3—42no—
591C2×D3—81no—
592C2×D3—81no—
593C2×D3—81no—
594C2×D3—81no—
595C3×C4—22no—
596C3×C4—22no—
597C3×C4—42no—
598C3×C4—42no—
599C3×C4—81no—
600C3×C4#52511yescharacteristic
601C3×C4#53711yescharacteristic
602C3×C4#54611yescharacteristic
603C3×C4#54711yescharacteristic
604Dic3—22no—
605Dic3—41no—
606Dic3—42no—
607Dic3—41no—
608Dic3—41no—
609Dic3—81no—
610Dic3—81no—
611C23—22no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—62no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23—121no—
624C23—121no—
625C23C2×D3×D411yescharacteristic
626Q8—22no—
627Q8—22no—
628Q8—22no—
629Q8—22no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634Q8—124no—
635D4—22no—
636D4—22no—
637D4—41no—
638D4—41no—
639D4—62no—
640D4—62no—
641D4—128no—
642D4—121no—
643D4—121no—
644D4—244no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—32no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—62no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—244no—
680C2×C4—244no—
681C2×C4#93712yes—
682C2×C4#93712yes—
683C2×C4C2×D3×D411yescharacteristic
684C2×C4C2×#23711yescharacteristic
685C2×C4#100411yescharacteristic
686C2×C4D3×#4111yescharacteristic
687C2×C4#101011yescharacteristic
688C2×C4C22×#6711yescharacteristic
689C8—41no—
690C8—41no—
691C8—62no—
692C8—121no—
693C2×C3—82no—
694C2×C3#240711yescharacteristic
695C2×C3#300211yescharacteristic
696C2×C3#300911yescharacteristic
697C2×C3#336511yescharacteristic
698C2×C3#337111yescharacteristic
699C2×C3#339411yescharacteristic
700C2×C3#340111yescharacteristic
701D3—82no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—122no—
710C22—122no—
711C22—122no—
712C22—241no—
713C22—241no—
714C22—241no—
715C22—241no—
716C22#559811yescharacteristic
717C22#559911yescharacteristic
718C22D3×#13511yescharacteristic
719C22#576811yescharacteristic
720C22#577811yescharacteristic
721C22#577811yescharacteristic
722C22C2×#93711yescharacteristic
723C4—22no—
724C4—22no—
725C4—42no—
726C4—42no—
727C4—62no—
728C4—81no—
729C4—121no—
730C4—121no—
731C4—122no—
732C4—121no—
733C4—241no—
734C4—241no—
735C4#560611yescharacteristic
736C4#560811yescharacteristic
737C4#580611yescharacteristic
738C4#582411yescharacteristic
739C3#2419411yescharacteristic, complemented, Sylow
740C2—82no—
741C2—242no—
742C2#8058111yescharacteristic
743C2#8058311yescharacteristic
744C2#8058911yescharacteristic
745C2#8059211yescharacteristic
746C2#8270111yescharacteristic
747C2#8391111yescharacteristic
748C2#8398211yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#464C2
socleC23×C3C22×D4
prime radicalC2×#940C22
hypercenterC2×#464D3
hypocenterC3#24194
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#464

Complements

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

NH ≅ G/Ntype
2. C2×C3×#464C2semidirect
3. #82481C2semidirect
4. C2×C4×#215C2semidirect
5. #72072C2semidirect
6. #72065C2semidirect
8. #72047C2semidirect
9. #71725C2semidirect
10. #70480C2semidirect
11. #70472C2semidirect
12. #70279C2semidirect
13. #70237C2semidirect
15. #70169C2semidirect
65. C2×#464D3semidirect
739. C3#24194semidirect

Maximal subgroups

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

subgroupindex
C2×#56812
C2×C3×#4642
#824812
C2×C4×#2152
#720722
#720652
#720562
#720472
#717252
#704802
#704722
#702792
#702372
#702112
#701692
#241943