Finite Group Databasebeta

← #11002016

Subgroups — #11002016

Order 768.

2630 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#123C211yesmaximal, characteristic, complemented
2C2×#5494C211yesmaximal, characteristic, complemented
3#84048C212yesmaximal, complemented
4#84032C211yesmaximal, characteristic, complemented
5#84031C211yesmaximal, characteristic, complemented
6#82905C214yesmaximal, complemented
7#82877C214yesmaximal, complemented
8#82875C214yesmaximal, complemented
9#82869C214yesmaximal, complemented
10#82199C211yesmaximal, characteristic, complemented
11#82197C212yesmaximal, complemented
12#82183C211yesmaximal, characteristic, complemented
13#82129C212yesmaximal, complemented
14#82107C212yesmaximal, complemented
15#82094C211yesmaximal, characteristic, complemented
16#36709—31nomaximal, Sylow
17C23×C3×D4C2211yescharacteristic
18C24×C3×C4C2211yescharacteristic
19C2×C3×#123—28no—
20C2×C3×#123C2214yes—
21C2×C3×#123C2214yes—
22C22×C3×C4⋊C4C2211yescharacteristic
23C22×C3×C4⋊C4C2211yescharacteristic
24C22×C3×C22⋊C4C2211yescharacteristic
25C22×C3×C22⋊C4C2211yescharacteristic
26C22×C3×C22⋊C4C2211yescharacteristic
27C2×#953C2212yes—
28C2×#953C2212yes—
29C22×#217C2212yes—
30C2×#939C2214yes—
31C2×#930C2211yescharacteristic
32C2×#930C2212yescomplemented
33C2×#929C2212yes—
34C2×C4×#67C2212yes—
35C2×#924C2211yescharacteristic
36C2×#924C2212yescomplemented
37#5494—28no—
38C2×#885C2212yescomplemented
39C2×#884C2212yescomplemented
40C2×#883C2212yescomplemented
41C2×#879C2212yescomplemented
42#5247C2212yes—
43#5223C2214yes—
44#5222C2214yes—
45#5220C2214yes—
46#5213C2212yes—
47#5213C2212yes—
48#5213C2214yescomplemented
49#5212C2211yescharacteristic
50#5212C2212yes—
51#5212C2211yescharacteristic
52#5212C2212yescomplemented
53#5212C2212yescomplemented
54#5211C2212yes—
55#5210C2212yes—
56#5210C2212yes—
57#5210C2214yescomplemented
58#4994C2214yescomplemented
59#4993C2214yescomplemented
60#4991C2212yescomplemented
61#4987C2214yescomplemented
62#4986C2212yescomplemented
63#4985C2214yescomplemented
64#4982C2214yescomplemented
65#4981C2212yescomplemented
66#4979C2212yescomplemented
67#4972C2214yescomplemented
68#4961C2214yescomplemented
69#4959C2214yescomplemented
70#4958C2214yescomplemented
71#4956C2214yescomplemented
72#4952C2214yescomplemented
73#4950C2214yescomplemented
74#4950C2214yescomplemented
75#4948C2214yescomplemented
76#4944C2214yescomplemented
77#4942C2214yescomplemented
78C2×#538—31no—
79C22×#123D311yescharacteristic, complemented
80#2848—31no—
81#2847—31no—
82#2695—34no—
83#2693—34no—
84#2672—34no—
85#2671—34no—
86#2627—31no—
87#2618—31no—
88#2534—32no—
89#2487—32no—
90#2412—32no—
91#2410—32no—
92#2315—31no—
93C25×C3C2311yescharacteristic
94C25×C3C2311yescharacteristic
95C22×C3×D4—24no—
96C22×C3×D4—44no—
97C22×C3×D4C2314yes—
98C23×C3×C4—24no—
99C23×C3×C4—44no—
100C23×C3×C4C2311yescharacteristic
101C23×C3×C4C2312yes—
102C23×C3×C4C2312yes—
103C23×C3×C4C2311yescharacteristic
104C23×C3×C4C2311yescharacteristic
105C23×C3×C4C2311yescharacteristic
106C23×C3×C4C2311yescharacteristic
107C22×#67C2312yes—
108C22×#67C2314yes—
109C22×#67C2312yes—
110C22×#67C2312yes—
111C23×Dic3C2314yes—
112C22×D12C2311yescharacteristic
113C22×C4×D3C2312yes—
114C22×Dic6C2311yescharacteristic
115C3×#123—216no—
116C3×#123—216no—
117C2×C3×C4⋊C4—24no—
118C2×C3×C4⋊C4—24no—
119C2×C3×C4⋊C4C2314yes—
120C2×C3×C4⋊C4C2312yes—
121C2×C3×C4⋊C4C2312yes—
122C2×C3×C22⋊C4—24no—
123C2×C3×C22⋊C4—24no—
124C2×C3×C22⋊C4D418yescomplemented
125C2×C3×C22⋊C4C2314yes—
126C2×C3×C22⋊C4C2314yes—
127C2×C3×C22⋊C4C2312yes—
128C2×C3×C22⋊C4C2312yes—
129#953—28no—
130#953—44no—
131C2×#217—44no—
132C2×#217C2312yes—
133C2×#217C2314yes—
134C2×#217C2312yes—
135C2×#217C2312yes—
136C2×#217C2312yes—
137C2×#217C2312yes—
138C2×#217C2314yes—
139C2×#217C2314yes—
140C2×#217C2314yes—
141#939—48no—
142#930—24no—
143#930—44no—
144#929—44no—
145C4×#67—28no—
146C2×(C2×D3)⋊C4C2312yes—
147C2×(C2×D3)⋊C4C2312yes—
148C2×(C2×D3)⋊C4C2314yes—
149C2×(C2×D3)⋊C4C2314yes—
150C2×(C2×D3)⋊C4C2314yes—
151C2×C4⋊Dic3C2311yescharacteristic
152C2×C4⋊Dic3C2311yescharacteristic
153C2×C4⋊Dic3C2314yes—
154C2×C4⋊Dic3C2312yes—
155C2×C4⋊Dic3C2312yes—
156#924—24no—
157#924—44no—
158C2×Dic3⋊C4C2312yes—
159C2×Dic3⋊C4C2312yes—
160C2×Dic3⋊C4C2314yes—
161C2×Dic3⋊C4C2314yes—
162C2×Dic3⋊C4C2314yes—
163C2×C4×Dic3C2312yes—
164#885—28no—
165#884—28no—
166#883—28no—
167#879—28no—
168C3⋊#95C2314yes—
169C3⋊#95C2314yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C3⋊#95C2312yes—
173C3⋊#95C2312yes—
174C3⋊#95C2314yes—
175C3⋊#95C2314yes—
176C3⋊#95C2314yes—
177C23×D4C2×D311yescharacteristic
178C24×C4C2×D311yescharacteristic
179#538—68no—
180C2×#126—32no—
181C2×#124—32no—
182C2×#123—28no—
183C2×#123—32no—
184C2×#123—32no—
185C2×#123C2×D314yes—
186C2×#123C2×D314yes—
187C2×C22⋊Q8—31no—
188C2×C22⋊Q8—32no—
189C2×#121—31no—
190C2×#121—34no—
191C2×#121—32no—
192C2×#121—32no—
193C2×#120—32no—
194C2×#120—32no—
195C2×C4×D4—32no—
196C22×C4⋊C4C2×D311yescharacteristic
197C22×C4⋊C4C2×D311yescharacteristic
198C22×C22⋊C4—32no—
199C22×C22⋊C4C2×D311yescharacteristic
200C22×C22⋊C4C2×D311yescharacteristic
201C22×C22⋊C4C2×D311yescharacteristic
202#400—32no—
203#400—34no—
204#399—34no—
205#398—32no—
206#398—34no—
207#397—34no—
208#396—34no—
209#396—34no—
210#395—32no—
211#394—34no—
212#394—32no—
213#394—34no—
214#394—34no—
215#392—34no—
216#389—34no—
217#388—34no—
218#386—34no—
219#386—32no—
220#386—34no—
221#386—32no—
222#386—34no—
223#386—34no—
224#385—32no—
225#385—34no—
226#385—32no—
227#385—34no—
228#385—34no—
229#381—32no—
230#380—31no—
231#380—31no—
232#380—32no—
233#380—32no—
234#380—32no—
235#380—34no—
236#380—34no—
237#379—32no—
238C24×C3—22no—
239C24×C3—24no—
240C24×C3—22no—
241C24×C3—22no—
242C24×C3—22no—
243C24×C3—22no—
244C24×C3—42no—
245C24×C3—42no—
246C24×C3—42no—
247C24×C3C2×D414yes—
248C24×C3C2412yes—
249C24×C3C2412yes—
250C24×C3C2411yescharacteristic
251C23×D3C2412yes—
252C2×C3×D4—28no—
253C2×C3×D4—28no—
254C2×C3×D4—44no—
255C2×C3×D4—416no—
256C22×C3×C4—22no—
257C22×C3×C4—22no—
258C22×C3×C4—22no—
259C22×C3×C4—24no—
260C22×C3×C4—22no—
261C22×C3×C4—24no—
262C22×C3×C4—22no—
263C22×C3×C4—24no—
264C22×C3×C4—24no—
265C22×C3×C4—42no—
266C22×C3×C4—42no—
267C22×C3×C4—42no—
268C22×C3×C4—42no—
269C22×C3×C4—42no—
270C22×C3×C4—42no—
271C22×C3×C4—416no—
272C22×C3×C4C2×D414yes—
273C22×C3×C4C2×D414yes—
274C22×C3×C4C2412yes—
275C22×C3×C4C2412yes—
276C22×C3×C4C2412yes—
277C22×C3×C4C2412yes—
278C22×C3×C4C2411yescharacteristic
279C22×C3×C4C2411yescharacteristic
280C2×#67—24no—
281C2×#67—24no—
282C2×#67—24no—
283C2×#67—24no—
284C2×#67—24no—
285C2×#67—28no—
286C2×#67—44no—
287C2×#67—44no—
288C2×#67—44no—
289C2×#67—44no—
290C22×Dic3—44no—
291C22×Dic3—44no—
292C22×Dic3—44no—
293C22×Dic3C2412yes—
294C22×Dic3C2414yes—
295C22×Dic3C2412yes—
296C22×Dic3C2414yes—
297C22×Dic3C2412yes—
298C2×D12—22no—
299C2×D12—42no—
300C2×C4×D3—24no—
301C2×C4×D3—44no—
302C2×Dic6—22no—
303C2×Dic6—42no—
304C3×C4⋊C4—24no—
305C3×C4⋊C4—24no—
306C3×C4⋊C4—28no—
307C3×C22⋊C4—28no—
308C3×C22⋊C4—28no—
309C3×C22⋊C4C2×D418yes—
310C3×C22⋊C4C2×D418yes—
311#217—24no—
312#217—24no—
313#217—24no—
314#217—28no—
315#217—24no—
316#217—24no—
317#217—44no—
318#217—44no—
319#217—44no—
320(C2×D3)⋊C4—24no—
321(C2×D3)⋊C4—24no—
322(C2×D3)⋊C4—44no—
323(C2×D3)⋊C4—44no—
324(C2×D3)⋊C4—44no—
325C4⋊Dic3—22no—
326C4⋊Dic3—22no—
327C4⋊Dic3—42no—
328C4⋊Dic3—44no—
329C4⋊Dic3—42no—
330Dic3⋊C4—24no—
331Dic3⋊C4—24no—
332Dic3⋊C4—44no—
333Dic3⋊C4—44no—
334Dic3⋊C4—44no—
335C4×Dic3—24no—
336C25C22×D311yescharacteristic
337C25C22×D311yescharacteristic
338C22×Q8—31no—
339C22×D4—24no—
340C22×D4—32no—
341C22×D4—32no—
342C22×D4—34no—
343C22×D4—32no—
344C22×D4—31no—
345C22×D4—44no—
346C22×D4C22×D314yes—
347C23×C4—24no—
348C23×C4—34no—
349C23×C4—32no—
350C23×C4—44no—
351C23×C4C22×D311yescharacteristic
352C23×C4C22×D312yes—
353C23×C4C22×D312yes—
354C23×C4C22×D311yescharacteristic
355C23×C4C22×D311yescharacteristic
356C23×C4C22×D311yescharacteristic
357C23×C4C22×D311yescharacteristic
358#126—68no—
359#124—68no—
360#123—216no—
361#123—216no—
362#123—68no—
363#123—124no—
364C22⋊Q8—64no—
365C22⋊Q8—124no—
366#121—64no—
367#121—68no—
368#121—128no—
369#121—124no—
370#120—68no—
371#120—124no—
372C4×D4—68no—
373C2×C4⋊C4—24no—
374C2×C4⋊C4—24no—
375C2×C4⋊C4—32no—
376C2×C4⋊C4—32no—
377C2×C4⋊C4—31no—
378C2×C4⋊C4—31no—
379C2×C4⋊C4—32no—
380C2×C4⋊C4—34no—
381C2×C4⋊C4—32no—
382C2×C4⋊C4—34no—
383C2×C4⋊C4—34no—
384C2×C4⋊C4—34no—
385C2×C4⋊C4C22×D314yes—
386C2×C4⋊C4C22×D312yes—
387C2×C4⋊C4C22×D312yes—
388C2×C22⋊C4—24no—
389C2×C22⋊C4—24no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—32no—
392C2×C22⋊C4—32no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—32no—
395C2×C22⋊C4—34no—
396C2×C22⋊C4—32no—
397C2×C22⋊C4—32no—
398C2×C22⋊C4—34no—
399C2×C22⋊C4—34no—
400C2×C22⋊C4—34no—
401C2×C22⋊C4—34no—
402C2×C22⋊C4—34no—
403C2×C22⋊C4—34no—
404C2×C22⋊C4—124no—
405C2×C22⋊C4#6718yescomplemented
406C2×C22⋊C4C22×D314yes—
407C2×C22⋊C4C22×D314yes—
408C2×C22⋊C4C22×D312yes—
409C2×C22⋊C4C22×D312yes—
410C2×C42—32no—
411#95—34no—
412#95—34no—
413#95—34no—
414#95—32no—
415#95—32no—
416#95—34no—
417#95—34no—
418#95—34no—
419#95—34no—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—28no—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—24no—
427C23×C3—22no—
428C23×C3—22no—
429C23×C3—22no—
430C23×C3—22no—
431C23×C3—24no—
432C23×C3—22no—
433C23×C3—28no—
434C23×C3—44no—
435C23×C3—44no—
436C23×C3—48no—
437C23×C3—48no—
438C23×C3—44no—
439C23×C3—44no—
440C23×C3—84no—
441C23×C3—84no—
442C23×C3C22×D414yes—
443C23×C3C22×D412yes—
444C23×C3H(5,𝔽2)14yes—
445C23×C3H(5,𝔽2)12yes—
446C23×C32−1+412yes—
447C23×C3C2511yescharacteristic
448C22×D3—22no—
449C22×D3—24no—
450C22×D3—22no—
451C22×D3—22no—
452C22×D3—24no—
453C3×D4—416no—
454C2×C3×C4—22no—
455C2×C3×C4—22no—
456C2×C3×C4—24no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—22no—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—24no—
463C2×C3×C4—22no—
464C2×C3×C4—22no—
465C2×C3×C4—44no—
466C2×C3×C4—44no—
467C2×C3×C4—48no—
468C2×C3×C4—48no—
469C2×C3×C4—44no—
470C2×C3×C4—44no—
471C2×C3×C4—44no—
472C2×C3×C4C22×D414yes—
473C2×C3×C4C22×D412yes—
474C2×C3×C4C22×D412yes—
475#67—48no—
476#67—84no—
477#67—84no—
478#67—88no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3—24no—
483C2×Dic3—22no—
484C2×Dic3—24no—
485C2×Dic3—24no—
486C2×Dic3—24no—
487C2×Dic3—24no—
488C2×Dic3—22no—
489C2×Dic3—24no—
490C2×Dic3—24no—
491C2×Dic3—24no—
492C2×Dic3—88no—
493D12—82no—
494C4×D3—84no—
495Dic6—82no—
496C24—24no—
497C24—22no—
498C24—22no—
499C24—22no—
500C24—22no—
501C24—22no—
502C24—32no—
503C24—42no—
504C24—42no—
505C24—42no—
506C24C2×#6714yes—
507C24C23×D312yes—
508C24C23×D312yes—
509C24C23×D311yescharacteristic
510C2×Q8—62no—
511C2×Q8—122no—
512C2×D4—28no—
513C2×D4—28no—
514C2×D4—44no—
515C2×D4—416no—
516C2×D4—64no—
517C2×D4—64no—
518C2×D4—64no—
519C2×D4—68no—
520C2×D4—64no—
521C2×D4—64no—
522C2×D4—62no—
523C2×D4—122no—
524C2×D4—124no—
525C2×D4—124no—
526C2×D4—124no—
527C2×D4—124no—
528C22×C4—24no—
529C22×C4—24no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—24no—
536C22×C4—24no—
537C22×C4—34no—
538C22×C4—32no—
539C22×C4—32no—
540C22×C4—34no—
541C22×C4—32no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—416no—
549C22×C4—64no—
550C22×C4—124no—
551C22×C4—124no—
552C22×C4—124no—
553C22×C4—124no—
554C22×C4C2×#6714yes—
555C22×C4C2×#6714yes—
556C22×C4C23×D312yes—
557C22×C4C23×D312yes—
558C22×C4C23×D312yes—
559C22×C4C23×D312yes—
560C22×C4C23×D311yescharacteristic
561C22×C4C23×D311yescharacteristic
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—28no—
565C4⋊C4—64no—
566C4⋊C4—64no—
567C4⋊C4—62no—
568C4⋊C4—62no—
569C4⋊C4—124no—
570C4⋊C4—122no—
571C4⋊C4—124no—
572C4⋊C4—122no—
573C4⋊C4—124no—
574C4⋊C4—124no—
575C22⋊C4—28no—
576C22⋊C4—28no—
577C22⋊C4—68no—
578C22⋊C4—64no—
579C22⋊C4—64no—
580C22⋊C4—64no—
581C22⋊C4—64no—
582C22⋊C4—64no—
583C22⋊C4—64no—
584C22⋊C4—64no—
585C22⋊C4—124no—
586C22⋊C4—124no—
587C22⋊C4—124no—
588C22⋊C4—124no—
589C22⋊C4—124no—
590C22⋊C4—124no—
591C22⋊C4C2×#6718yes—
592C22⋊C4C2×#6718yes—
593C42—64no—
594C22×C3—22no—
595C22×C3—22no—
596C22×C3—24no—
597C22×C3—24no—
598C22×C3—24no—
599C22×C3—24no—
600C22×C3—24no—
601C22×C3—24no—
602C22×C3—24no—
603C22×C3—24no—
604C22×C3—416no—
605C22×C3—42no—
606C22×C3—42no—
607C22×C3—44no—
608C22×C3—42no—
609C22×C3—42no—
610C22×C3—44no—
611C22×C3—88no—
612C22×C3#53714yes—
613C22×C3C23×D411yescharacteristic
614C22×C3C2×H(5,𝔽2)12yes—
615C22×C3C2×H(5,𝔽2)11yescharacteristic
616C22×C3C2×2−1+411yescharacteristic
617C22×C3#58512yes—
618C2×D3—42no—
619C2×D3—42no—
620C2×D3—42no—
621C2×D3—44no—
622C2×D3—44no—
623C3×C4—22no—
624C3×C4—22no—
625C3×C4—24no—
626C3×C4—42no—
627C3×C4—42no—
628C3×C4—42no—
629Dic3—42no—
630Dic3—42no—
631Dic3—42no—
632Dic3—44no—
633Dic3—44no—
634C23—22no—
635C23—22no—
636C23—28no—
637C23—22no—
638C23—24no—
639C23—22no—
640C23—22no—
641C23—22no—
642C23—22no—
643C23—22no—
644C23—24no—
645C23—22no—
646C23—22no—
647C23—28no—
648C23—44no—
649C23—44no—
650C23—48no—
651C23—48no—
652C23—44no—
653C23—44no—
654C23—64no—
655C23—62no—
656C23—62no—
657C23—64no—
658C23—62no—
659C23—84no—
660C23—84no—
661C23#100414yes—
662C23#100912yes—
663C23#101012yes—
664C23C22×#6714yes—
665C23C22×#6712yes—
666C23C24×D311yescharacteristic
667Q8—242no—
668D4—416no—
669D4—128no—
670D4—242no—
671D4—248no—
672D4—244no—
673D4—244no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—48no—
688C2×C4—48no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—64no—
693C2×C4—64no—
694C2×C4—64no—
695C2×C4—64no—
696C2×C4—64no—
697C2×C4—62no—
698C2×C4—62no—
699C2×C4—64no—
700C2×C4—64no—
701C2×C4—64no—
702C2×C4—62no—
703C2×C4—62no—
704C2×C4—62no—
705C2×C4—244no—
706C2×C4—248no—
707C2×C4C22×#6714yes—
708C2×C4C22×#6712yes—
709C2×C4C22×#6712yes—
710C2×C3—24no—
711C2×C3—44no—
712C2×C3—44no—
713C2×C3C2×#53711yescharacteristic
714C2×C3#348411yescharacteristic
715C2×C3#348511yescharacteristic
716C2×C3#353412yes—
717C2×C3#353512yes—
718D3—82no—
719C22—24no—
720C22—22no—
721C22—22no—
722C22—24no—
723C22—24no—
724C22—24no—
725C22—24no—
726C22—24no—
727C22—24no—
728C22—24no—
729C22—416no—
730C22—44no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—44no—
736C22—88no—
737C22—124no—
738C22—122no—
739C22—122no—
740C22—122no—
741C22—124no—
742C22#583314yes—
743C22C2×#100412yes—
744C22C2×#100911yescharacteristic
745C22C2×#101011yescharacteristic
746C22#596412yes—
747C22C23×#6711yescharacteristic
748C4—22no—
749C4—22no—
750C4—24no—
751C4—42no—
752C4—42no—
753C4—42no—
754C4—124no—
755C4—124no—
756C4—122no—
757C4—122no—
758C4—122no—
759C3#3670911yescharacteristic, complemented, Sylow
760C2—24no—
761C2—44no—
762C2—44no—
763C2—242no—
764C2#8600312yes—
765C2#8601712yes—
766C2#8723911yescharacteristic
767C2C2×#583311yescharacteristic
768C2#8727311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC22×C3×#123C2
hypercenterC22×#123D3
hypocenterC3#36709
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C22×#123

Complements

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

NH ≅ G/Ntype
1. C22×C3×#123C2semidirect
2. C2×#5494C2semidirect
3. #84048C2semidirect
4. #84032C2semidirect
5. #84031C2semidirect
6. #82905C2semidirect
7. #82877C2semidirect
8. #82875C2semidirect
9. #82869C2semidirect
10. #82199C2semidirect
11. #82197C2semidirect
12. #82183C2semidirect
13. #82129C2semidirect
14. #82107C2semidirect
15. #82094C2semidirect
32. C2×#930C22semidirect
36. C2×#924C22semidirect
38. C2×#885C22semidirect
39. C2×#884C22semidirect
40. C2×#883C22semidirect
41. C2×#879C22semidirect
48. #5213C22semidirect
52. #5212C22semidirect
53. #5212C22semidirect
57. #5210C22semidirect
58. #4994C22semidirect
59. #4993C22semidirect
60. #4991C22semidirect
61. #4987C22semidirect
62. #4986C22semidirect
63. #4985C22semidirect
64. #4982C22semidirect
65. #4981C22semidirect
66. #4979C22semidirect
67. #4972C22semidirect
68. #4961C22semidirect
69. #4959C22semidirect
70. #4958C22semidirect
71. #4956C22semidirect
72. #4952C22semidirect
73. #4950C22semidirect
74. #4950C22semidirect
75. #4948C22semidirect
76. #4944C22semidirect
77. #4942C22semidirect
79. C22×#123D3semidirect
124. C2×C3×C22⋊C4D4semidirect
405. C2×C22⋊C4#67semidirect
759. C3#36709semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#1232
C2×#54942
#840482
#840322
#840312
#829052
#828772
#828752
#828692
#821992
#821972
#821832
#821292
#821072
#820942
#367093