Finite Group Databasebeta

← #10830031

Subgroups — #10830031

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
2C3×#2580C211yesmaximal, characteristic, complemented
3C2×C4×#214C211yesmaximal, characteristic, complemented
4C2×#5016C211yesmaximal, characteristic
5#71634C211yesmaximal, characteristic, complemented
6#69661C211yesmaximal, characteristic, complemented
7#69660C211yesmaximal, characteristic, complemented
8#69659C211yesmaximal, characteristic
9#69657C211yesmaximal, characteristic
10#69633C211yesmaximal, characteristic, complemented
11#69632C211yesmaximal, characteristic, complemented
12#69628C211yesmaximal, characteristic, complemented
13#69626C211yesmaximal, characteristic, complemented
14#69559C211yesmaximal, characteristic, complemented
15#69551C211yesmaximal, characteristic, complemented
16#24193—31nomaximal, Sylow
17C2×C3×C4×Q8C2211yescharacteristic
18C2×C3×C4×D4C2211yescharacteristic
19C2×#946—21no—
20C22×#214C2211yescharacteristic
21C22×#214C2211yescharacteristic
22C22×#213C2211yescharacteristic
23#5584—24no—
24#5584—24no—
25C2×#898—21no—
26C2×#898—21no—
27C2×#892—21no—
28C2×#875C2211yescharacteristic
29C2×#875C2211yescharacteristic
30C2×C4×D12C2211yescharacteristic
31C2×#869C2211yescharacteristic
32C2×C4×Dic6C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C3×#399—21no—
35C3×#393—21no—
36C3×#390C2211yescharacteristic
37C3×#390C2211yescharacteristic
38C3×#389C2211yescharacteristic
39C3×#389C2211yescharacteristic
40C3×#385—21no—
41C3×#385—21no—
42C3×#382C2211yescharacteristic
43C2×#832C2211yescharacteristic
44C4×#214—24no—
45#5016—24no—
46C2×#810C2211yescharacteristic
47C2×#810C2211yescharacteristic
48C2×#810C2211yescharacteristic
49C2×#810C2211yescharacteristic
50C2×#810C2211yescharacteristic
51C2×#810C2211yescharacteristic
52C2×#809C2211yescharacteristic
53C2×#809C2211yescharacteristic
54C2×#809C2211yescharacteristic
55C2×#808C2211yescharacteristic
56C2×C4⋊(C3⋊C8)C2211yescharacteristic
57C2×C4×C3⋊C8C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4524C2211yescharacteristic
61#4524C2211yescharacteristic
62#4524C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#556—31no—
65C2×#463—31no—
66C2×C4×SD16—31no—
67#2580D311yescharacteristic, complemented
68#2043—31no—
69#2042—31no—
70#2013—31no—
71#2012—31no—
72#1984—31no—
73#1958—31no—
74#1880—31no—
75#1879—31no—
76#1865—31no—
77#1864—31no—
78#1805—31no—
79C22×C3×Q8D411yescharacteristic
80C22×C3×D4C2311yescharacteristic
81C23×C3×C4—21no—
82C22×D12C2311yescharacteristic
83C22×C4×D3—21no—
84C22×Dic6C2311yescharacteristic
85C22×Dic6C2311yescharacteristic
86C3×C4×Q8—22no—
87C3×C4×Q8—22no—
88C3×C4×D4—22no—
89C3×C4×D4—22no—
90C2×C3×C4⋊C4—21no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4D411yescharacteristic
93C2×C3×C4⋊C4D411yescharacteristic
94C2×C3×C4⋊C4D411yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C22⋊C4—21no—
99C2×C3×C22⋊C4—21no—
100C2×C3×C22⋊C4—21no—
101C2×C3×C22⋊C4—21no—
102C2×C3×C22⋊C4—21no—
103C2×C3×C42C2311yescharacteristic
104C2×C3×C42C2311yescharacteristic
105C2×C3×C42C2311yescharacteristic
106#946—28no—
107C2×#214—22no—
108C2×#214—22no—
109C2×#214—22no—
110C2×#214—22no—
111C2×#214—22no—
112C2×#214—41no—
113C2×#213—22no—
114C2×#213—22no—
115C2×#213—41no—
116C2×(C2×D3)⋊C4—21no—
117C2×(C2×D3)⋊C4—21no—
118C2×(C2×D3)⋊C4—21no—
119C2×(C2×D3)⋊C4—21no—
120C2×(C2×D3)⋊C4—21no—
121C2×C4⋊Dic3—21no—
122C2×C4⋊Dic3—21no—
123C2×C4⋊Dic3C2311yescharacteristic
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4—21no—
126C2×C4×Dic3—21no—
127C2×C4×Dic3—21no—
128C22×C3⋊C8C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C22×C3⋊C8C2311yescharacteristic
132#898—28no—
133#898—28no—
134#892—28no—
135#875—22no—
136#875—22no—
137#875—22no—
138#875D414yes—
139C4×D12—22no—
140C4×D12—22no—
141#869—22no—
142#869—22no—
143C4×Dic6—22no—
144C4×Dic6—22no—
145C4×Dic6—22no—
146C4×Dic6D414yes—
147C3×#95—21no—
148C3×#95—21no—
149C3×#95—21no—
150C3×#95—21no—
151#832—22no—
152#810—22no—
153#810—22no—
154#810—22no—
155#810—41no—
156#810—41no—
157#810—41no—
158#809—22no—
159#809—22no—
160#809—41no—
161#808—22no—
162C4⋊(C3⋊C8)—22no—
163C4×C3⋊C8—22no—
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×D4C2×D311yescharacteristic
180C2×#117—61no—
181#463—64no—
182C4×SD16—64no—
183C2×#106—31no—
184C2×C4⋊C8—31no—
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×C8—31no—
196#399—21no—
197#393—21no—
198#390C2×D311yescharacteristic
199#390C2×D311yescharacteristic
200#389C2×D311yescharacteristic
201#389C2×D311yescharacteristic
202#385—21no—
203#385—21no—
204#382C2×D311yescharacteristic
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—22no—
214C2×C3×Q8—22no—
215C2×C3×Q8—41no—
216C2×C3×D4—21no—
217C2×C3×D4—21no—
218C2×C3×D4—21no—
219C2×C3×D4—21no—
220C2×C3×D4—21no—
221C2×C3×D4#4112yes—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—21no—
225C22×C3×C4—42no—
226C22×C3×C4—81no—
227C22×C3×C4—81no—
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2×D411yescharacteristic
234C22×C3×C4C2411yescharacteristic
235C22×Dic3—21no—
236C22×Dic3—21no—
237C22×Dic3—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12C2×D412yes—
244C2×C4×D3—24no—
245C2×C4×D3—42no—
246C2×C4×D3—42no—
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—
259C3×C4⋊C4—22no—
260C3×C4⋊C4—22no—
261C3×C4⋊C4—22no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—81no—
269C3×C4⋊C4—81no—
270C3×C22⋊C4—42no—
271C3×C22⋊C4—42no—
272C3×C22⋊C4—42no—
273C3×C22⋊C4—81no—
274C3×C22⋊C4—81no—
275C3×C42—21no—
276C3×C42—21no—
277C3×C42—21no—
278C3×C42—21no—
279C3×C42C2×D412yes—
280C3×C42C2×D412yes—
281#214—28no—
282#214—44no—
283#213—44no—
284(C2×D3)⋊C4—24no—
285(C2×D3)⋊C4—24no—
286(C2×D3)⋊C4—24no—
287(C2×D3)⋊C4—24no—
288(C2×D3)⋊C4—24no—
289C4⋊Dic3—24no—
290C4⋊Dic3—24no—
291C4⋊Dic3—21no—
292C4⋊Dic3C2×D412yes—
293Dic3⋊C4—24no—
294Dic3⋊C4—24no—
295C4×Dic3—24no—
296C4×Dic3—24no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8—21no—
299C2×C3⋊C8—21no—
300C2×C3⋊C8—21no—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—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×Q8—31no—
311C22×Q8#6711yescharacteristic
312C22×D4—31no—
313C22×D4C22×D311yescharacteristic
314C23×C4—21no—
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×C8—31no—
326C22×C8—31no—
327C22×C8—31no—
328C22×C8—31no—
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—22no—
345C4×D4—22no—
346C4×D4—62no—
347C4×D4—62no—
348#117—68no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—31no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4#6711yescharacteristic
357C2×C4⋊C4#6711yescharacteristic
358C2×C4⋊C4#6711yescharacteristic
359C2×C4⋊C4C22×D311yescharacteristic
360C2×C4⋊C4C22×D311yescharacteristic
361C2×C4⋊C4C22×D311yescharacteristic
362C2×C22⋊C4—21no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—21no—
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—62no—
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—62no—
390#95—21no—
391#95—21no—
392#95—21no—
393#95—21no—
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—44no—
410C3×D4—22no—
411C3×D4—22no—
412C3×D4—41no—
413C3×D4—41no—
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—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4—41no—
436C2×C3×C4—41no—
437C2×C3×C4—41no—
438C2×C3×C4—84no—
439C2×C3×C4#12012yes—
440C2×C3×C4#12012yes—
441C2×C3×C4#13512yes—
442C2×C3×C4C22×D411yescharacteristic
443C2×C3×C4C22×D411yescharacteristic
444C2×C3×C4C2×#4111yescharacteristic
445C2×C3×C4C2×#4111yescharacteristic
446C2×C3×C4H(5,𝔽2)11yescharacteristic
447C2×C3×C42−1+411yescharacteristic
448C2×Dic3—22no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457D12—22no—
458D12—22no—
459D12—41no—
460D12—41no—
461C4×D3—48no—
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—21no—
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—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—32no—
497C2×D4—61no—
498C2×D4—61no—
499C2×D4—61no—
500C2×D4—61no—
501C2×D4—61no—
502C2×D4#23912yes—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—42no—
507C22×C4—64no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—81no—
512C22×C4—81no—
513C22×C4—122no—
514C22×C4—122no—
515C22×C4C2×#6711yescharacteristic
516C22×C4C2×#6711yescharacteristic
517C22×C4C2×#6711yescharacteristic
518C22×C4C2×#6711yescharacteristic
519C22×C4C2×#6711yescharacteristic
520C22×C4C2×#6711yescharacteristic
521C22×C4C23×D311yescharacteristic
522SD16—68no—
523SD16—124no—
524D8—124no—
525C2×C8—32no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8—61no—
530C2×C8—61no—
531C2×C8—61no—
532C2×C8—61no—
533C2×C8—61no—
534C2×C8—61no—
535C2×C8—61no—
536C2×C8—61no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—32no—
547C4⋊C4—64no—
548C4⋊C4—64no—
549C4⋊C4—64no—
550C4⋊C4—64no—
551C4⋊C4—61no—
552C4⋊C4—81no—
553C4⋊C4—81no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—64no—
558C22⋊C4—64no—
559C22⋊C4—64no—
560C22⋊C4—64no—
561C22⋊C4—64no—
562C22⋊C4—81no—
563C22⋊C4—81no—
564C42—21no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—64no—
569C42—64no—
570C42D3×D412yes—
571C42D3×D412yes—
572C22×C3—42no—
573C22×C3—42no—
574C22×C3—42no—
575C22×C3—81no—
576C22×C3—81no—
577C22×C3—81no—
578C22×C3—81no—
579C22×C3C2×#12011yescharacteristic
580C22×C3#54811yescharacteristic
581C22×C3#55011yescharacteristic
582C22×C3C2×#13511yescharacteristic
583C22×C3#57511yescharacteristic
584C22×C3#57711yescharacteristic
585C22×C3#57711yescharacteristic
586C2×D3—42no—
587C2×D3—42no—
588C2×D3—42no—
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—81no—
600C3×C4—81no—
601C3×C4—81no—
602C3×C4#52511yescharacteristic
603C3×C4#53711yescharacteristic
604C3×C4#54611yescharacteristic
605C3×C4#54711yescharacteristic
606Dic3—42no—
607Dic3—42no—
608Dic3—42no—
609C23—22no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—62no—
617C23—121no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23C22×#6711yescharacteristic
624Q8—44no—
625Q8—62no—
626Q8—62no—
627Q8—62no—
628Q8—62no—
629Q8—121no—
630Q8—121no—
631Q8—121no—
632Q8—121no—
633D4—22no—
634D4—22no—
635D4—41no—
636D4—41no—
637D4—62no—
638D4—62no—
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—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—84no—
669C2×C4—128no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4#93712yes—
677C2×C4#93712yes—
678C2×C4#95012yes—
679C2×C4C2×D3×D411yescharacteristic
680C2×C4C2×D3×D411yescharacteristic
681C2×C4C2×#23911yescharacteristic
682C2×C4#100711yescharacteristic
683C2×C4D3×#4111yescharacteristic
684C2×C4#100911yescharacteristic
685C8—62no—
686C8—121no—
687C8—121no—
688C8—121no—
689C2×C3—82no—
690C2×C3#240711yescharacteristic
691C2×C3#300211yescharacteristic
692C2×C3#301011yescharacteristic
693C2×C3#336011yescharacteristic
694C2×C3#337611yescharacteristic
695C2×C3#339411yescharacteristic
696C2×C3#340111yescharacteristic
697D3—82no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22—122no—
706C22—122no—
707C22—122no—
708C22—241no—
709C22—241no—
710C22—241no—
711C22—241no—
712C22C2×#93711yescharacteristic
713C22#581711yescharacteristic
714C22C2×#95011yescharacteristic
715C22#582211yescharacteristic
716C22#583411yescharacteristic
717C22#583611yescharacteristic
718C22#583611yescharacteristic
719C4—22no—
720C4—22no—
721C4—22no—
722C4—41no—
723C4—41no—
724C4—41no—
725C4—81no—
726C4—81no—
727C4—81no—
728C4—122no—
729C4—122no—
730C4—122no—
731C4#562711yescharacteristic
732C4#562911yescharacteristic
733C4#563011yescharacteristic
734C4#563111yescharacteristic
735C3#2419311yescharacteristic, complemented, Sylow
736C2—82no—
737C2—242no—
738C2#8281211yescharacteristic
739C2#8292611yescharacteristic
740C2#8339011yescharacteristic
741C2#8363711yescharacteristic
742C2#8364511yescharacteristic
743C2#8371011yescharacteristic
744C2#8371211yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2580C2
socleC23×C3C22×D4
prime radicalC22×#213C22
hypercenter#2580D3
hypocenterC3#24193
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ #2580

Complements

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

NH ≅ G/Ntype
1. C2×#5584C2semidirect
2. C3×#2580C2semidirect
3. C2×C4×#214C2semidirect
5. #71634C2semidirect
6. #69661C2semidirect
7. #69660C2semidirect
10. #69633C2semidirect
11. #69632C2semidirect
12. #69628C2semidirect
13. #69626C2semidirect
14. #69559C2semidirect
15. #69551C2semidirect
67. #2580D3semidirect
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
C3×#25802
C2×C4×#2142
C2×#50162
#716342
#696612
#696602
#696592
#696572
#696332
#696322
#696282
#696262
#695592
#695512
#241933