Finite Group Databasebeta

← #10830033

Subgroups — #10830033

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×#5584C211yesmaximal, characteristic, complemented
2#82501C211yesmaximal, characteristic, complemented
3C2×#4844C211yesmaximal, characteristic
4C2×C4×#204C211yesmaximal, characteristic, complemented
5C3×#1984C211yesmaximal, characteristic, complemented
6#70486C211yesmaximal, characteristic, complemented
7#69773C211yesmaximal, characteristic, complemented
8#68687C211yesmaximal, characteristic, complemented
9#68686C211yesmaximal, characteristic, complemented
10#68684C211yesmaximal, characteristic, complemented
11#68675C211yesmaximal, characteristic
12#68673C211yesmaximal, characteristic
13#68671C211yesmaximal, characteristic, complemented
14#68631C211yesmaximal, characteristic, complemented
15#68630C211yesmaximal, characteristic, complemented
16#24193—31nomaximal, Sylow
17C2×C3×C4×Q8C2211yescharacteristic
18C2×#946—21no—
19C22×D24C2211yescharacteristic
20C22×#204C2211yescharacteristic
21C22×#204C2211yescharacteristic
22#5584—24no—
23#5584—24no—
24C2×#898—21no—
25C2×#898—21no—
26C2×#892—21no—
27C2×#875C2211yescharacteristic
28C2×#875C2211yescharacteristic
29C2×C4×D12C2211yescharacteristic
30C2×C4×D12C2211yescharacteristic
31C2×#869C2211yescharacteristic
32C2×C4×Dic6C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C2×C3×C4⋊C8C2211yescharacteristic
35C2×C3×C4×C8C2211yescharacteristic
36#5231—21no—
37C2×#821C2211yescharacteristic
38C2×#821C2211yescharacteristic
39C2×#821C2211yescharacteristic
40C2×#821C2211yescharacteristic
41C2×#817C2211yescharacteristic
42C2×#816C2211yescharacteristic
43C2×#816C2211yescharacteristic
44C2×#816C2211yescharacteristic
45C2×#816C2211yescharacteristic
46C2×#816C2211yescharacteristic
47C2×#816C2211yescharacteristic
48#4993—21no—
49#4989—21no—
50#4989—21no—
51#4939C2211yescharacteristic
52#4939C2211yescharacteristic
53#4936C2211yescharacteristic
54#4928C2211yescharacteristic
55#4928C2211yescharacteristic
56#4844—24no—
57C4×#204—24no—
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62#4551C2211yescharacteristic
63#4551C2211yescharacteristic
64C2×#556—31no—
65C2×#463—31no—
66C2×C4×SD16—31no—
67#2580—31no—
68#2043—31no—
69#2042—31no—
70#2013—31no—
71#2012—31no—
72#1984D311yescharacteristic, complemented
73#1958—31no—
74#1880—31no—
75#1879—31no—
76#1865—31no—
77#1864—31no—
78#1805—31no—
79C22×C3×Q8D411yescharacteristic
80C22×D12C2311yescharacteristic
81C22×D12C2311yescharacteristic
82C22×C4×D3—21no—
83C22×C4×D3—21no—
84C22×Dic6C2311yescharacteristic
85C22×Dic6C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×C4×Q8—22no—
91C3×C4×Q8—22no—
92C2×C3×C4⋊C4D411yescharacteristic
93C2×C3×C4⋊C4D411yescharacteristic
94C2×C3×C4⋊C4D411yescharacteristic
95C2×C3×C42C2311yescharacteristic
96C2×C3×C42C2311yescharacteristic
97C2×C3×C42C2311yescharacteristic
98#946—28no—
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)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×C4⋊Dic3—21no—
110C2×C4⋊Dic3—21no—
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113C2×C4⋊Dic3C2311yescharacteristic
114C2×C4⋊Dic3C2311yescharacteristic
115C2×Dic3⋊C4—21no—
116C2×Dic3⋊C4—21no—
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4—21no—
119C2×C4×Dic3—21no—
120C2×C4×Dic3—21no—
121C2×D24—22no—
122C2×D24—22no—
123C2×D24—41no—
124C2×#204—22no—
125C2×#204—22no—
126C2×#204—22no—
127C2×#204—22no—
128C2×#204—22no—
129C2×#204—41no—
130#898—28no—
131#898—28no—
132#892—28no—
133#875—22no—
134#875—22no—
135#875—22no—
136#875D414yes—
137C4×D12—22no—
138C4×D12—22no—
139C4×D12—22no—
140C4×D12—22no—
141#869—22no—
142#869—22no—
143C4×Dic6—22no—
144C4×Dic6—22no—
145C4×Dic6—22no—
146C4×Dic6D414yes—
147C3×C4⋊C8—22no—
148C3×C4×C8—22no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152C3⋊#95—21no—
153#821—22no—
154#821—22no—
155#821—22no—
156#821—41no—
157#817—22no—
158#816—22no—
159#816—22no—
160#816—22no—
161#816—41no—
162#816—41no—
163#816—41no—
164C22×SD16—31no—
165C22×SD16—31no—
166C22×D8—31no—
167#556—64no—
168#556—64no—
169C2×C4⋊Q8—31no—
170C2×#126—61no—
171C2×#126—61no—
172C2×#124—31no—
173C2×#124—31no—
174C2×C22⋊Q8—61no—
175C2×C4×Q8—31no—
176C2×C4×Q8—31no—
177C2×C4×Q8C2×D311yescharacteristic
178C2×C4×D4—31no—
179C2×C4×D4—31no—
180C2×#117—61no—
181#463—64no—
182C4×SD16—64no—
183C2×#106—31no—
184C2×C4⋊C8C2×D311yescharacteristic
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#103—31no—
191C2×#102—31no—
192C2×#102—31no—
193C2×#102—31no—
194C2×#102—31no—
195C2×C4×C8C2×D311yescharacteristic
196#399—61no—
197#393—61no—
198#390—31no—
199#390—31no—
200#389—31no—
201#389—31no—
202#385—61no—
203#385—61no—
204#382—31no—
205#340—31no—
206#340—31no—
207#336C2×D311yescharacteristic
208#336C2×D311yescharacteristic
209#336C2×D311yescharacteristic
210#336C2×D311yescharacteristic
211C23×D3—21no—
212C23×D3—21no—
213C2×C3×Q8—22no—
214C2×C3×Q8—22no—
215C2×C3×Q8—41no—
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2411yescharacteristic
223C22×Dic3—21no—
224C22×Dic3—21no—
225C22×Dic3—21no—
226C22×Dic3—21no—
227C22×Dic3—21no—
228C22×Dic3—21no—
229C2×D12—21no—
230C2×D12—21no—
231C2×D12—21no—
232C2×D12—21no—
233C2×D12—21no—
234C2×D12—21no—
235C2×D12—21no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12C2×D412yes—
240C2×D12#4112yes—
241C2×C4×D3—24no—
242C2×C4×D3—42no—
243C2×C4×D3—42no—
244C2×C4×D3—42no—
245C2×C4×D3—81no—
246C2×C4×D3—81no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6—21no—
256C2×Dic6—21no—
257C2×Dic6C2×D412yes—
258C2×Dic6C2×D412yes—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8—21no—
266C2×C3×C8—21no—
267C2×C3×C8—21no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8#4112yes—
271C3×C4⋊C4—22no—
272C3×C4⋊C4—22no—
273C3×C4⋊C4—22no—
274C3×C42—21no—
275C3×C42—21no—
276C3×C42—21no—
277C3×C42—21no—
278C3×C42C2×D412yes—
279C3×C42C2×D412yes—
280(C2×D3)⋊C4—24no—
281(C2×D3)⋊C4—24no—
282(C2×D3)⋊C4—24no—
283(C2×D3)⋊C4—24no—
284(C2×D3)⋊C4—24no—
285(C2×D3)⋊C4—42no—
286(C2×D3)⋊C4—42no—
287(C2×D3)⋊C4—42no—
288(C2×D3)⋊C4—81no—
289(C2×D3)⋊C4—81no—
290C4⋊Dic3—24no—
291C4⋊Dic3—24no—
292C4⋊Dic3—21no—
293C4⋊Dic3—21no—
294C4⋊Dic3—21no—
295C4⋊Dic3—21no—
296C4⋊Dic3—21no—
297C4⋊Dic3—21no—
298C4⋊Dic3—21no—
299C4⋊Dic3C2×D412yes—
300Dic3⋊C4—24no—
301Dic3⋊C4—24no—
302Dic3⋊C4—81no—
303Dic3⋊C4—81no—
304C4×Dic3—24no—
305C4×Dic3—24no—
306D24—44no—
307#204—28no—
308#204—44no—
309C22×Q8—31no—
310C22×Q8—31no—
311C22×Q8D1211yescharacteristic
312C22×D4—31no—
313C22×D4—31no—
314C23×C4—61no—
315C23×C4—61no—
316C2×SD16—62no—
317C2×SD16—62no—
318C2×SD16—62no—
319C2×SD16—62no—
320C2×SD16—62no—
321C2×SD16—121no—
322C2×D8—62no—
323C2×D8—62no—
324C2×D8—121no—
325C22×C8C22×D311yescharacteristic
326C22×C8C22×D311yescharacteristic
327C22×C8C22×D311yescharacteristic
328C22×C8C22×D311yescharacteristic
329C4⋊Q8—62no—
330C4⋊Q8—62no—
331#126—68no—
332#126—68no—
333#124—34no—
334#124—62no—
335#124—62no—
336#124—62no—
337C22⋊Q8—68no—
338C4×Q8—22no—
339C4×Q8—22no—
340C4×Q8—34no—
341C4×Q8—62no—
342C4×Q8—62no—
343C4×Q8—62no—
344C4×D4—62no—
345C4×D4—62no—
346C4×D4—62no—
347C4×D4—62no—
348#117—68no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—31no—
352C2×C4⋊C4—31no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4—61no—
358C2×C4⋊C4—61no—
359C2×C4⋊C4D1211yescharacteristic
360C2×C4⋊C4D1211yescharacteristic
361C2×C4⋊C4D1211yescharacteristic
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4—61no—
367C2×C22⋊C4—61no—
368C2×C22⋊C4—61no—
369C2×C22⋊C4—61no—
370C2×C22⋊C4—61no—
371C2×C22⋊C4—61no—
372C2×C42—61no—
373C2×C42—61no—
374C2×C42C22×D311yescharacteristic
375C2×C42C22×D311yescharacteristic
376C2×C42C22×D311yescharacteristic
377#106—62no—
378C4⋊C8—22no—
379#103—62no—
380#103—62no—
381#103—62no—
382#103—121no—
383#103—121no—
384#103—121no—
385#102—62no—
386#102—62no—
387#102—62no—
388#102—121no—
389C4×C8—22no—
390#95—61no—
391#95—61no—
392#95—61no—
393#95—61no—
394C23×C3C22×D411yescharacteristic
395C22×D3—22no—
396C22×D3—22no—
397C22×D3—41no—
398C22×D3—41no—
399C22×D3—41no—
400C22×D3—41no—
401C22×D3—41no—
402C22×D3—41no—
403C22×D3—41no—
404C22×D3—41no—
405C22×D3—41no—
406C22×D3—41no—
407C22×D3—41no—
408C22×D3—41no—
409C3×Q8—44no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4#12012yes—
426C2×C3×C4#12012yes—
427C2×C3×C4#13512yes—
428C2×C3×C4C22×D411yescharacteristic
429C2×C3×C4C22×D411yescharacteristic
430C2×C3×C4C2×#4111yescharacteristic
431C2×C3×C4C2×#4111yescharacteristic
432C2×C3×C4H(5,𝔽2)11yescharacteristic
433C2×C3×C42−1+411yescharacteristic
434C2×Dic3—22no—
435C2×Dic3—22no—
436C2×Dic3—22no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452D12—22no—
453D12—22no—
454D12—22no—
455D12—22no—
456D12—41no—
457D12—41no—
458D12—41no—
459D12—41no—
460C4×D3—48no—
461C4×D3—84no—
462Dic6—22no—
463Dic6—22no—
464Dic6—22no—
465Dic6—22no—
466Dic6—41no—
467Dic6—41no—
468Dic6—41no—
469Dic6—41no—
470C3×C8—22no—
471C3×C8—41no—
472C3×C8—41no—
473C3×C8—41no—
474C24—61no—
475C24—61no—
476C2×Q8—22no—
477C2×Q8—22no—
478C2×Q8—32no—
479C2×Q8—32no—
480C2×Q8—41no—
481C2×Q8—61no—
482C2×Q8—61no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—61no—
487C2×Q8—61no—
488C2×Q8—61no—
489C2×Q8—61no—
490C2×Q8—61no—
491C2×D4—32no—
492C2×D4—32no—
493C2×D4—61no—
494C2×D4—61no—
495C2×D4—61no—
496C2×D4—61no—
497C2×D4—61no—
498C2×D4—61no—
499C2×D4—61no—
500C2×D4—61no—
501C2×D4—61no—
502C2×D4—61no—
503C22×C4—64no—
504C22×C4—61no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—122no—
511C22×C4—122no—
512C22×C4—122no—
513C22×C4—241no—
514C22×C4—241no—
515C22×C4C2×D1211yescharacteristic
516C22×C4C2×D1211yescharacteristic
517C22×C4C2×D1211yescharacteristic
518C22×C4C2×D1211yescharacteristic
519C22×C4C2×D1211yescharacteristic
520C22×C4C2×D1211yescharacteristic
521C22×C4C23×D311yescharacteristic
522SD16—68no—
523SD16—124no—
524D8—124no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8#23912yes—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—32no—
541C4⋊C4—64no—
542C4⋊C4—64no—
543C4⋊C4—64no—
544C4⋊C4—64no—
545C4⋊C4—61no—
546C4⋊C4—61no—
547C4⋊C4—61no—
548C4⋊C4—61no—
549C4⋊C4—61no—
550C4⋊C4—61no—
551C4⋊C4—61no—
552C4⋊C4—241no—
553C4⋊C4—241no—
554C22⋊C4—64no—
555C22⋊C4—64no—
556C22⋊C4—64no—
557C22⋊C4—64no—
558C22⋊C4—64no—
559C22⋊C4—122no—
560C22⋊C4—122no—
561C22⋊C4—122no—
562C22⋊C4—241no—
563C22⋊C4—241no—
564C42—21no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—64no—
569C42—64no—
570C42D3×D412yes—
571C42D3×D412yes—
572C22×C3C2×#12011yescharacteristic
573C22×C3#54811yescharacteristic
574C22×C3#55011yescharacteristic
575C22×C3C2×#13511yescharacteristic
576C22×C3#57511yescharacteristic
577C22×C3#57711yescharacteristic
578C22×C3#57711yescharacteristic
579C2×D3—42no—
580C2×D3—42no—
581C2×D3—42no—
582C2×D3—42no—
583C2×D3—42no—
584C2×D3—42no—
585C2×D3—81no—
586C2×D3—81no—
587C2×D3—81no—
588C2×D3—81no—
589C2×D3—81no—
590C2×D3—81no—
591C2×D3—81no—
592C2×D3—81no—
593C3×C4—22no—
594C3×C4—22no—
595C3×C4—22no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4—41no—
599C3×C4#52511yescharacteristic
600C3×C4#53711yescharacteristic
601C3×C4#54611yescharacteristic
602C3×C4#54711yescharacteristic
603Dic3—42no—
604Dic3—42no—
605Dic3—42no—
606Dic3—81no—
607Dic3—81no—
608Dic3—81no—
609C23—62no—
610C23—62no—
611C23—121no—
612C23—121no—
613C23—121no—
614C23—121no—
615C23—121no—
616C23—121no—
617C23—121no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23C22×D1211yescharacteristic
624Q8—44no—
625Q8—62no—
626Q8—62no—
627Q8—62no—
628Q8—62no—
629Q8—121no—
630Q8—121no—
631Q8—121no—
632Q8—121no—
633D4—62no—
634D4—62no—
635D4—62no—
636D4—62no—
637D4—121no—
638D4—121no—
639D4—121no—
640D4—121no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—62no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—128no—
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—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—244no—
676C2×C4#88212yes—
677C2×C4#88212yes—
678C2×C4#90412yes—
679C2×C4C2×D3×D411yescharacteristic
680C2×C4C2×D3×D411yescharacteristic
681C2×C4C2×#23911yescharacteristic
682C2×C4#100711yescharacteristic
683C2×C4D3×#4111yescharacteristic
684C2×C4#100911yescharacteristic
685C8—22no—
686C8—41no—
687C8—41no—
688C8—41no—
689C2×C3#240711yescharacteristic
690C2×C3#300211yescharacteristic
691C2×C3#301011yescharacteristic
692C2×C3#336011yescharacteristic
693C2×C3#337611yescharacteristic
694C2×C3#339411yescharacteristic
695C2×C3#340111yescharacteristic
696D3—82no—
697D3—82no—
698C22—122no—
699C22—122no—
700C22—122no—
701C22—122no—
702C22—122no—
703C22—122no—
704C22—241no—
705C22—241no—
706C22—241no—
707C22—241no—
708C22—241no—
709C22—241no—
710C22—241no—
711C22—241no—
712C22C2×#88211yescharacteristic
713C22#557611yescharacteristic
714C22#557711yescharacteristic
715C22C2×#90411yescharacteristic
716C22#574811yescharacteristic
717C22#575111yescharacteristic
718C22#575111yescharacteristic
719C4—22no—
720C4—22no—
721C4—22no—
722C4—41no—
723C4—41no—
724C4—41no—
725C4—122no—
726C4—122no—
727C4—122no—
728C4—241no—
729C4—241no—
730C4—241no—
731C4#562711yescharacteristic
732C4#562911yescharacteristic
733C4#567611yescharacteristic
734C4#572611yescharacteristic
735C3#2419311yescharacteristic, complemented, Sylow
736C2—242no—
737C2—242no—
738C2#7661811yescharacteristic
739C2#7861011yescharacteristic
740C2#7867811yescharacteristic
741C2#7991311yescharacteristic
742C2#7992611yescharacteristic
743C2#7995411yescharacteristic
744C2#7997411yescharacteristic
subgroupG/H
centerC23C22×D12
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1984C2
socleC23×C3C22×D4
prime radicalC22×D24C22
hypercenter#1984D3
hypocenterC3#24193
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ #1984

Complements

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

NH ≅ G/Ntype
1. C2×#5584C2semidirect
2. #82501C2semidirect
4. C2×C4×#204C2semidirect
5. C3×#1984C2semidirect
6. #70486C2semidirect
7. #69773C2semidirect
8. #68687C2semidirect
9. #68686C2semidirect
10. #68684C2semidirect
13. #68671C2semidirect
14. #68631C2semidirect
15. #68630C2semidirect
72. #1984D3semidirect
735. C3#24193semidirect

Maximal subgroups

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

subgroupindex
C2×#55842
#825012
C2×#48442
C2×C4×#2042
C3×#19842
#704862
#697732
#686872
#686862
#686842
#686752
#686732
#686712
#686312
#686302
#241933