Finite Group Databasebeta

← #10824329

Subgroups — #10824329

Order 768.

1092 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×D8C211yesmaximal, characteristic, complemented
2C4×#940C211yesmaximal, characteristic, complemented
3#82319C211yesmaximal, characteristic, complemented
4C2×C4×#213C211yesmaximal, characteristic, complemented
5#72044C211yesmaximal, characteristic
6#72040C211yesmaximal, characteristic, complemented
7C4×#832C211yesmaximal, characteristic, complemented
8#70639C211yesmaximal, characteristic, complemented
9#70619C211yesmaximal, characteristic, complemented
10#70212C211yesmaximal, characteristic, complemented
11#70194C211yesmaximal, characteristic, complemented
12#70177C211yesmaximal, characteristic, complemented
13#70165C211yesmaximal, characteristic, complemented
14C4×#821C211yesmaximal, characteristic, complemented
15C4×Dic3⋊C8C211yesmaximal, characteristic, complemented
16#23676—31nomaximal, Sylow
17C22×C3×D8C2211yescharacteristic
18C2×C3×C4×D4C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×#940C2211yescharacteristic
21C22×#213C2211yescharacteristic
22C2×C4×#67—21no—
23C2×C4×#67—21no—
24C2×#926—21no—
25C2×C4×D12C2211yescharacteristic
26C3×C4×D8—24no—
27C2×C3×#107C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×C4×C8C2211yescharacteristic
31#5221C2211yescharacteristic
32#5221C2211yescharacteristic
33#5221C2211yescharacteristic
34C2×#832C2211yescharacteristic
35C2×#832C2211yescharacteristic
36C2×#832C2211yescharacteristic
37C4×#217—21no—
38C2×#821C2211yescharacteristic
39C2×#821C2211yescharacteristic
40C2×Dic3⋊C8C2211yescharacteristic
41C2×Dic3⋊C8C2211yescharacteristic
42C4×#213—24no—
43#4988C2211yescharacteristic
44#4984C2211yescharacteristic
45#4984C2211yescharacteristic
46#4975C2211yescharacteristic
47C2×#809C2211yescharacteristic
48C2×#807C2211yescharacteristic
49#4957—21no—
50#4957—21no—
51#4951—21no—
52#4951—21no—
53C4×C4⋊Dic3C2211yescharacteristic
54C42×Dic3C2211yescharacteristic
55C2×C4×C3⋊C8C2211yescharacteristic
56#4551C2211yescharacteristic
57#4551C2211yescharacteristic
58#4550C2211yescharacteristic
59#4550C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62C2×C4×D8—31no—
63C2×C4×D8D311yescharacteristic, complemented
64C4×#127—31no—
65#2293—31no—
66#2083—31no—
67#2071—31no—
68#2067—31no—
69#2067—31no—
70#2054—31no—
71#2054—31no—
72#2041—31no—
73#2011—31no—
74C4×C4⋊C8—31no—
75C4×#102—31no—
76C4×#102—31no—
77C22×C3×D4C2311yescharacteristic
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4—21no—
81C22×#67—21no—
82C22×#67—21no—
83C22×D12C2311yescharacteristic
84C22×C4×D3—21no—
85C2×C3×D8—22no—
86C2×C3×D8—22no—
87C2×C3×D8—22no—
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×C4×D4—22no—
91C3×C4×D4—22no—
92C3×C4×D4—22no—
93C3×C4×D4D414yescomplemented
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C22⋊C4—21no—
97C2×C3×C22⋊C4—21no—
98C2×C3×C42C2311yescharacteristic
99C2×#217—21no—
100C2×#217—21no—
101C2×#217—21no—
102C2×#217—21no—
103C2×#217—21no—
104C2×#217—21no—
105#940—22no—
106#940—22no—
107C2×#213—22no—
108C2×#213—22no—
109C2×#213—22no—
110C4×#67—44no—
111C4×#67—44no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115#926—44no—
116C2×C4⋊Dic3—21no—
117C2×C4⋊Dic3—21no—
118C2×C4⋊Dic3C2311yescharacteristic
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4—21no—
123C2×C4×Dic3—21no—
124C2×C4×Dic3D411yescharacteristic
125C2×C4×Dic3D411yescharacteristic
126C2×C4×Dic3D411yescharacteristic
127C2×C4×Dic3D411yescharacteristic
128C2×C4×Dic3C2311yescharacteristic
129C2×C4×Dic3C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C22×C3⋊C8C2311yescharacteristic
132C4×D12—22no—
133C4×D12—22no—
134C3×#107—22no—
135C3×#102—22no—
136C3×#102—22no—
137C3×C4×C8—22no—
138#832—22no—
139#832—22no—
140#832—22no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144#821—22no—
145#821—22no—
146Dic3⋊C8—22no—
147Dic3⋊C8—22no—
148#809—22no—
149#807—22no—
150C4×C3⋊C8—22no—
151C22×D8—31no—
152C22×D8C2×D311yescharacteristic
153C2×#127—31no—
154C2×C4×D4—31no—
155C2×C4×D4—61no—
156C2×C4×D4—61no—
157C2×C4×D4C2×D311yescharacteristic
158C2×C4×D4C2×D311yescharacteristic
159C2×#117—61no—
160C4×D8—24no—
161C4×D8—64no—
162C2×#107—31no—
163C2×#107C2×D311yescharacteristic
164C2×C4⋊C8—31no—
165C2×C4⋊C8—31no—
166C2×#102—31no—
167C2×#102—31no—
168C2×#102—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×#102—31no—
172C2×#102C2×D311yescharacteristic
173C2×#102C2×D311yescharacteristic
174C2×C4×C8—31no—
175C2×C4×C8C2×D311yescharacteristic
176#390—31no—
177#390—31no—
178#390—31no—
179#390—31no—
180#390—61no—
181#390—61no—
182#389—31no—
183#389—31no—
184#388—61no—
185#388—61no—
186#384—31no—
187C4×C4⋊C4—31no—
188C4×C22⋊C4—61no—
189C43—31no—
190#340—31no—
191#340—31no—
192#340—31no—
193#340—31no—
194#336—31no—
195#336—31no—
196C24×C3—21no—
197C24×C3—21no—
198C23×D3—21no—
199C2×C3×D4—21no—
200C2×C3×D4—21no—
201C2×C3×D4—21no—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4—21no—
209C2×C3×D4C2×D412yes—
210C2×C3×D4#4112yes—
211C22×C3×C4—21no—
212C22×C3×C4—24no—
213C22×C3×C4—21no—
214C22×C3×C4—42no—
215C22×C3×C4—42no—
216C22×C3×C4—42no—
217C22×C3×C4—42no—
218C22×C3×C4—42no—
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2411yescharacteristic
222C2×#67—24no—
223C2×#67—24no—
224C2×#67—42no—
225C2×#67—42no—
226C2×#67—42no—
227C2×#67—42no—
228C22×Dic3—21no—
229C22×Dic3—21no—
230C22×Dic3—21no—
231C22×Dic3C2×D411yescharacteristic
232C22×Dic3C2×D411yescharacteristic
233C22×Dic3C2×D411yescharacteristic
234C22×Dic3C2×D411yescharacteristic
235C2×D12—21no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12#4112yes—
241C2×C4×D3—42no—
242C2×C4×D3—42no—
243C2×C4×D3—42no—
244C3×D8—28no—
245C2×C3×C8—21no—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C2×C3×C8#4112yes—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4C2×D412yes—
255C3×C22⋊C4—24no—
256C3×C22⋊C4—42no—
257C3×C42C2×D412yes—
258C3×C42#4112yes—
259#217—42no—
260#217—42no—
261#217—42no—
262#217—42no—
263#217—42no—
264#217—42no—
265#213—28no—
266(C2×D3)⋊C4—42no—
267(C2×D3)⋊C4—42no—
268(C2×D3)⋊C4—42no—
269C4⋊Dic3—21no—
270C4⋊Dic3—21no—
271C4⋊Dic3—21no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274C4⋊Dic3—21no—
275C4⋊Dic3—42no—
276C4⋊Dic3—42no—
277Dic3⋊C4—42no—
278Dic3⋊C4—42no—
279C4×Dic3—22no—
280C4×Dic3—21no—
281C4×Dic3—21no—
282C4×Dic3—21no—
283C4×Dic3—21no—
284C4×Dic3—22no—
285C4×Dic3—41no—
286C4×Dic3—42no—
287C4×Dic3D814yescomplemented
288C2×C3⋊C8—21no—
289C2×C3⋊C8—21no—
290C2×C3⋊C8—21no—
291C2×C3⋊C8—21no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8#4112yes—
294C22×D4—31no—
295C22×D4—61no—
296C22×D4—61no—
297C22×D4C22×D311yescharacteristic
298C22×D4C22×D311yescharacteristic
299C23×C4—21no—
300C23×C4—21no—
301C23×C4—61no—
302C2×D8—22no—
303C2×D8—22no—
304C2×D8—22no—
305C2×D8—62no—
306C2×D8—62no—
307C2×D8—62no—
308C22×C8—31no—
309C22×C8—31no—
310C22×C8C22×D311yescharacteristic
311C22×C8C22×D311yescharacteristic
312#127—62no—
313#127—62no—
314C4×D4—22no—
315C4×D4—22no—
316C4×D4—22no—
317C4×D4—62no—
318C4×D4—62no—
319C4×D4—124no—
320C4×D4—124no—
321C4×D4#6714yescomplemented
322#117—124no—
323C2×C4⋊C4—31no—
324C2×C4⋊C4—31no—
325C2×C4⋊C4—31no—
326C2×C4⋊C4—61no—
327C2×C4⋊C4—61no—
328C2×C4⋊C4—61no—
329C2×C4⋊C4—61no—
330C2×C4⋊C4C22×D311yescharacteristic
331C2×C4⋊C4C22×D311yescharacteristic
332C2×C22⋊C4—21no—
333C2×C22⋊C4—21no—
334C2×C22⋊C4—61no—
335C2×C22⋊C4—61no—
336C2×C22⋊C4—61no—
337C2×C22⋊C4—61no—
338C2×C22⋊C4—61no—
339C2×C22⋊C4—61no—
340C2×C22⋊C4—61no—
341C2×C22⋊C4—61no—
342C2×C22⋊C4—61no—
343C2×C42—31no—
344C2×C42—31no—
345C2×C42—31no—
346C2×C42—31no—
347C2×C42—31no—
348C2×C42—31no—
349C2×C42—61no—
350C2×C42C22×D311yescharacteristic
351#107—22no—
352#107—62no—
353C4⋊C8—62no—
354C4⋊C8—62no—
355#102—22no—
356#102—22no—
357#102—62no—
358#102—62no—
359#102—62no—
360#102—62no—
361#102—62no—
362#102—62no—
363C4×C8—22no—
364C4×C8—62no—
365#95—61no—
366#95—61no—
367#95—61no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—41no—
371C23×C3—41no—
372C23×C3—41no—
373C23×C3—41no—
374C23×C3—41no—
375C23×C3—41no—
376C23×C3—41no—
377C23×C3—41no—
378C23×C3—41no—
379C23×C3—41no—
380C23×C3—41no—
381C23×C3—41no—
382C23×C3C22×D411yescharacteristic
383C22×D3—22no—
384C22×D3—41no—
385C22×D3—41no—
386C22×D3—41no—
387C22×D3—41no—
388C22×D3—41no—
389C22×D3—41no—
390C3×D4—22no—
391C3×D4—22no—
392C3×D4—22no—
393C3×D4—22no—
394C3×D4—41no—
395C3×D4—41no—
396C3×D4—41no—
397C3×D4—41no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—22no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4—48no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—84no—
408C2×C3×C4#12112yes—
409C2×C3×C4#12112yes—
410C2×C3×C4C2×D812yes—
411C2×C3×C4AGL(1,ℤ/8)12yes—
412C2×C3×C4C22×D411yescharacteristic
413C2×C3×C4C2×#4111yescharacteristic
414C2×C3×C4C2×#4111yescharacteristic
415C2×C3×C4C2×#4111yescharacteristic
416C2×C3×C4C2×#4111yescharacteristic
417C2×C3×C4C2×#4111yescharacteristic
418#67—48no—
419#67—48no—
420C2×Dic3—21no—
421C2×Dic3—21no—
422C2×Dic3—21no—
423C2×Dic3—21no—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—41no—
430C2×Dic3—41no—
431C2×Dic3—41no—
432C2×Dic3—41no—
433C2×Dic3—41no—
434C2×Dic3—41no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3C2×D812yes—
439C2×Dic3C2×D812yes—
440C2×Dic3#13512yes—
441D12—22no—
442D12—22no—
443D12—41no—
444D12—41no—
445C4×D3—84no—
446C3×C8—22no—
447C3×C8—41no—
448C3⋊C8—22no—
449C3⋊C8—41no—
450C24—21no—
451C24—21no—
452C24—61no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—32no—
464C2×D4—64no—
465C2×D4—64no—
466C2×D4—61no—
467C2×D4—61no—
468C2×D4—61no—
469C2×D4—61no—
470C2×D4—61no—
471C2×D4—122no—
472C2×D4—122no—
473C2×D4—122no—
474C2×D4—122no—
475C2×D4#23512yes—
476C2×D4C2×#6712yes—
477C22×C4—21no—
478C22×C4—24no—
479C22×C4—21no—
480C22×C4—31no—
481C22×C4—31no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—61no—
492C22×C4—122no—
493C22×C4—122no—
494C22×C4—122no—
495C22×C4D3×D411yescharacteristic
496C22×C4D3×D411yescharacteristic
497C22×C4C23×D311yescharacteristic
498D8—28no—
499D8—68no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—32no—
506C2×C8—61no—
507C2×C8—61no—
508C2×C8—61no—
509C2×C8—61no—
510C2×C8—61no—
511C2×C8#23512yes—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—61no—
516C4⋊C4—61no—
517C4⋊C4—61no—
518C4⋊C4—61no—
519C4⋊C4—61no—
520C4⋊C4—61no—
521C4⋊C4—122no—
522C4⋊C4—122no—
523C4⋊C4—122no—
524C4⋊C4—122no—
525C4⋊C4C2×#6712yes—
526C22⋊C4—24no—
527C22⋊C4—42no—
528C22⋊C4—122no—
529C22⋊C4—122no—
530C22⋊C4—122no—
531C22⋊C4—122no—
532C22⋊C4—122no—
533C22⋊C4—122no—
534C22⋊C4—122no—
535C22⋊C4—122no—
536C22⋊C4—122no—
537C42—34no—
538C42—62no—
539C42—62no—
540C42—61no—
541C42—61no—
542C42—61no—
543C42—61no—
544C42—121no—
545C42—122no—
546C42#23712yes—
547C42C2×#6712yes—
548C22×C3—42no—
549C22×C3—42no—
550C22×C3—42no—
551C22×C3—42no—
552C22×C3—42no—
553C22×C3—42no—
554C22×C3—81no—
555C22×C3—81no—
556C22×C3—81no—
557C22×C3—81no—
558C22×C3—81no—
559C22×C3—81no—
560C22×C3—81no—
561C22×C3—81no—
562C22×C3C2×#12111yescharacteristic
563C22×C3#52511yescharacteristic
564C22×C3#53211yescharacteristic
565C22×C3C22×D811yescharacteristic
566C22×C3C2×#13511yescharacteristic
567C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
568C22×C3#57511yescharacteristic
569C2×D3—42no—
570C2×D3—42no—
571C2×D3—42no—
572C2×D3—81no—
573C2×D3—81no—
574C2×D3—81no—
575C2×D3—81no—
576C3×C4—22no—
577C3×C4—42no—
578C3×C4—81no—
579C3×C4#45914yes—
580C3×C4#52511yescharacteristic
581C3×C4#52511yescharacteristic
582C3×C4#52911yescharacteristic
583C3×C4#52911yescharacteristic
584Dic3—22no—
585Dic3—22no—
586Dic3—22no—
587Dic3—41no—
588Dic3—81no—
589Dic3—81no—
590Dic3—81no—
591C23—22no—
592C23—22no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—62no—
606C23—121no—
607C23—121no—
608C23—121no—
609C23—121no—
610C23—121no—
611C23—121no—
612C23C2×D3×D411yescharacteristic
613D4—22no—
614D4—22no—
615D4—22no—
616D4—22no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—41no—
621D4—62no—
622D4—62no—
623D4—128no—
624D4—128no—
625D4—121no—
626D4—121no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—32no—
631C2×C4—32no—
632C2×C4—32no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—48no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—61no—
640C2×C4—61no—
641C2×C4—61no—
642C2×C4—61no—
643C2×C4—61no—
644C2×C4—61no—
645C2×C4—61no—
646C2×C4—61no—
647C2×C4—61no—
648C2×C4—84no—
649C2×C4—121no—
650C2×C4—121no—
651C2×C4—121no—
652C2×C4—121no—
653C2×C4—121no—
654C2×C4—121no—
655C2×C4—121no—
656C2×C4—121no—
657C2×C4—121no—
658C2×C4—244no—
659C2×C4D3×D812yes—
660C2×C4#91112yes—
661C2×C4#93912yes—
662C2×C4#93912yes—
663C2×C4C2×#23511yescharacteristic
664C2×C4C2×#23511yescharacteristic
665C2×C4C2×#23711yescharacteristic
666C2×C4D3×#4111yescharacteristic
667C2×C4D3×#4111yescharacteristic
668C2×C4C22×#6711yescharacteristic
669C8—22no—
670C8—41no—
671C8—62no—
672C8—121no—
673C2×C3—82no—
674C2×C3—82no—
675C2×C3#239211yescharacteristic
676C2×C3C2×#45911yescharacteristic
677C2×C3#303511yescharacteristic
678C2×C3#310011yescharacteristic
679C2×C3#310511yescharacteristic
680C2×C3#316911yescharacteristic
681C2×C3#317111yescharacteristic
682D3—82no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—122no—
698C22—122no—
699C22—122no—
700C22—241no—
701C22—241no—
702C22—241no—
703C22—241no—
704C22#554711yescharacteristic
705C22#554811yescharacteristic
706C22C2×D3×D811yescharacteristic
707C22C2×#91111yescharacteristic
708C22D3×#13511yescharacteristic
709C22#576811yescharacteristic
710C22C2×#93911yescharacteristic
711C4—22no—
712C4—42no—
713C4—62no—
714C4—62no—
715C4—62no—
716C4—81no—
717C4—121no—
718C4—241no—
719C4—241no—
720C4—241no—
721C4#515014yes—
722C4#553811yescharacteristic
723C4#555711yescharacteristic
724C4#579111yescharacteristic
725C4#582811yescharacteristic
726C3#2367611yescharacteristic, complemented, Sylow
727C2—82no—
728C2—82no—
729C2—242no—
730C2#7959011yescharacteristic
731C2#7959211yescharacteristic
732C2#7959811yescharacteristic
733C2#7959911yescharacteristic
734C2#8234511yescharacteristic
735C2C2×#515011yescharacteristic
736C2#8390011yescharacteristic
subgroupG/H
centerC22×C4D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×C4×D8C2
socleC23×C3C22×D4
prime radical#72044C2
hypercenterC2×C4×D8D3
hypocenterC3#23676
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C2×C4×D8

Complements

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

NH ≅ G/Ntype
1. C2×C3×C4×D8C2semidirect
2. C4×#940C2semidirect
3. #82319C2semidirect
4. C2×C4×#213C2semidirect
6. #72040C2semidirect
7. C4×#832C2semidirect
8. #70639C2semidirect
9. #70619C2semidirect
10. #70212C2semidirect
11. #70194C2semidirect
12. #70177C2semidirect
13. #70165C2semidirect
14. C4×#821C2semidirect
15. C4×Dic3⋊C8C2semidirect
63. C2×C4×D8D3semidirect
93. C3×C4×D4D4semidirect
287. C4×Dic3D8semidirect
321. C4×D4#67semidirect
726. C3#23676semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×D82
C4×#9402
#823192
C2×C4×#2132
#720442
#720402
C4×#8322
#706392
#706192
#702122
#701942
#701772
#701652
C4×#8212
C4×Dic3⋊C82
#236763