Finite Group Databasebeta

← #10958113

Subgroups — #10958113

Order 768.

2630 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#929C211yesmaximal, characteristic
2C3×#2280C211yesmaximal, characteristic, complemented
3C2×#5212C211yesmaximal, characteristic, complemented
4#82242C214yesmaximal, complemented
5#74056C214yesmaximal, complemented
6#74013C214yesmaximal, complemented
7#74005C211yesmaximal, characteristic, complemented
8#74004C211yesmaximal, characteristic, complemented
9#73869C211yesmaximal, characteristic, complemented
10#73867C211yesmaximal, characteristic, complemented
11#73850C212yesmaximal
12#73822C212yesmaximal, complemented
13#73575C212yesmaximal, complemented
14#73458C212yesmaximal, complemented
15#73451C214yesmaximal, complemented
16#34376—31nomaximal, Sylow
17C24×C3×C4C2211yescharacteristic
18C23×#67C2211yescharacteristic
19C2×C3×#117C2212yescomplemented
20C22×#217C2212yes—
21C22×#217C2211yescharacteristic
22C2×#929C4116yescomplemented
23C2×#929C2212yes—
24C2×#929C2212yes—
25C2×#929C2212yes—
26C2×#929C2212yes—
27C22×(C2×D3)⋊C4C2211yescharacteristic
28C22×(C2×D3)⋊C4C2211yescharacteristic
29C22×C4⋊Dic3C2212yescomplemented
30C22×Dic3⋊C4C2211yescharacteristic
31C22×Dic3⋊C4C2211yescharacteristic
32C2×#67⋊C4C2214yes—
33C2×D3×C22⋊C4C2212yes—
34C2×#877C2212yes—
35C3×#381C2212yescomplemented
36C3×#380C2211yescharacteristic
37C3×#380C2211yescharacteristic
38C3×#380C2212yescomplemented
39C3×#379C2212yes—
40C3×C4×C22⋊C4C2212yes—
41C3×C4×C22⋊C4C2212yescomplemented
42#5212C2211yescharacteristic
43#5212C2211yescharacteristic
44#5212C2212yes—
45#5212C2212yescomplemented
46#5212C2212yescomplemented
47C2×C3⋊#95C2212yescomplemented
48#4990C2214yescomplemented
49#4989C2214yescomplemented
50#4978C2214yescomplemented
51#4976C2214yescomplemented
52#4958C2214yes—
53#4957C2214yes—
54#4956C2214yes—
55#4955C2212yes—
56#4946C2214yescomplemented
57#4945C2214yescomplemented
58#4944C2214yescomplemented
59#4943C2212yes—
60#4942C2212yes—
61#4942C2212yes—
62Dic3×C22⋊C4C2212yes—
63Dic3×C22⋊C4C2212yes—
64Dic3×C22⋊C4C2214yescomplemented
65#4940C2214yescomplemented
66C4×(C2×D3)⋊C4C2214yescomplemented
67#4933C2214yescomplemented
68C4×Dic3⋊C4C2214yescomplemented
69#4670C2214yescomplemented
70#4670C2214yescomplemented
71#4668C2214yescomplemented
72#4668C2214yescomplemented
73#4655C2214yescomplemented
74#4655C2214yescomplemented
75#4647C2214yescomplemented
76#4647C2214yescomplemented
77C22×#123—31no—
78#2376—34no—
79#2359—34no—
80#2345—32no—
81#2342—32no—
82#2342—32no—
83D4×C22⋊C4—32no—
84#2335—34no—
85#2322—34no—
86#2316—31no—
87#2315—31no—
88#2313—31no—
89#2312—31no—
90#2280D311yescharacteristic, complemented
91C2×#380—31no—
92C25×C3C2311yescharacteristic
93C24×D3C2311yescharacteristic
94C23×C3×C4—44no—
95C23×C3×C4C2×C418yescomplemented
96C23×C3×C4C2311yescharacteristic
97C23×C3×C4C2311yescharacteristic
98C23×C3×C4C2311yescharacteristic
99C23×C3×C4C2311yescharacteristic
100C23×C3×C4C2311yescharacteristic
101C23×C3×C4C2311yescharacteristic
102C22×#67—44no—
103C22×#67C2×C418yes—
104C22×#67C2312yes—
105C22×#67C2312yes—
106C23×Dic3C2311yescharacteristic
107C23×Dic3C2314yes—
108C23×Dic3C2311yescharacteristic
109C23×Dic3C2311yescharacteristic
110C22×C4×D3C2314yes—
111C3×#117—44no—
112C2×C3×C4⋊C4C2312yes—
113C2×C3×C4⋊C4C2312yes—
114C2×C3×C22⋊C4C2312yes—
115C2×C3×C22⋊C4C2314yes—
116C2×C3×C22⋊C4C2312yes—
117C2×C3×C22⋊C4C2314yes—
118C2×C3×C42C2314yes—
119C2×#217—44no—
120C2×#217C2×C418yescomplemented
121C2×#217C2312yes—
122C2×#217C2312yes—
123C2×#217C2314yes—
124C2×#217C2312yes—
125C2×#217C2312yes—
126#929C2×C4116yescomplemented
127#929C2×C4116yescomplemented
128#929C2×C4116yescomplemented
129#929C2×C4116yescomplemented
130C2×(C2×D3)⋊C4C2×C418yescomplemented
131C2×(C2×D3)⋊C4C2×C418yescomplemented
132C2×(C2×D3)⋊C4C2314yes—
133C2×(C2×D3)⋊C4C2314yes—
134C2×(C2×D3)⋊C4C2314yes—
135C2×(C2×D3)⋊C4C2312yes—
136C2×(C2×D3)⋊C4C2312yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×C4⋊Dic3—44no—
140C2×C4⋊Dic3C2312yes—
141C2×C4⋊Dic3C2314yes—
142C2×C4⋊Dic3C2312yes—
143C2×Dic3⋊C4C2×C418yescomplemented
144C2×Dic3⋊C4C2×C418yescomplemented
145C2×Dic3⋊C4C2314yes—
146C2×Dic3⋊C4C2314yes—
147C2×Dic3⋊C4C2314yes—
148C2×Dic3⋊C4C2312yes—
149C2×Dic3⋊C4C2312yes—
150C2×Dic3⋊C4C2312yes—
151C2×Dic3⋊C4C2312yes—
152C2×C4×Dic3C2314yes—
153C2×C4×Dic3C2314yes—
154C2×C4×Dic3C2314yes—
155#67⋊C4—48no—
156D3×C22⋊C4—44no—
157#877—44no—
158C3×#95C2312yes—
159C3×#95C2314yes—
160C3×#95C2312yes—
161C3⋊#95C2314yes—
162C3⋊#95C2314yes—
163C3⋊#95C2314yes—
164C3⋊#95C2314yes—
165C3⋊#95C2314yes—
166C3⋊#95C2314yes—
167C3⋊#95C2314yes—
168C3⋊#95C2312yes—
169C3⋊#95C2312yes—
170C23×D4—31no—
171C24×C4C2×D311yescharacteristic
172C2×#123—316no—
173C2×#123—32no—
174C2×#123—32no—
175C2×#123—32no—
176C2×#123—32no—
177C2×C4×D4—34no—
178C2×#117—32no—
179C2×#117C2×D312yescomplemented
180C22×C4⋊C4—31no—
181C22×C4⋊C4—31no—
182C22×C4⋊C4—32no—
183C22×C22⋊C4—31no—
184C22×C22⋊C4—31no—
185C22×C22⋊C4—31no—
186C22×C22⋊C4—32no—
187C22×C22⋊C4—32no—
188#390—34no—
189#389—34no—
190#389—34no—
191#389—34no—
192#388—34no—
193#388—34no—
194#388—34no—
195#388—34no—
196#388—34no—
197#388—34no—
198#387—34no—
199#387—34no—
200#387—34no—
201#387—34no—
202#386—34no—
203#386—34no—
204#385—34no—
205#385—34no—
206#385—34no—
207#385—34no—
208#381—32no—
209#381C2×D312yescomplemented
210#380—31no—
211#380—31no—
212#380—32no—
213#380—32no—
214#380—32no—
215#380—32no—
216#380—32no—
217#380C2×D311yescharacteristic
218#380C2×D311yescharacteristic
219#380C2×D312yescomplemented
220#379—32no—
221#379C2×D312yes—
222C4×C4⋊C4—34no—
223C4×C22⋊C4—32no—
224C4×C22⋊C4—32no—
225C4×C22⋊C4—34no—
226C4×C22⋊C4—34no—
227C4×C22⋊C4C2×D312yes—
228C4×C22⋊C4C2×D312yescomplemented
229C2×#95—32no—
230C24×C3—22no—
231C24×C3—24no—
232C24×C3—22no—
233C24×C3—42no—
234C24×C3C22×C414yes—
235C24×C3C2411yescharacteristic
236C24×C3C2411yescharacteristic
237C24×C3C2411yescharacteristic
238C23×D3—22no—
239C23×D3—22no—
240C23×D3—42no—
241C23×D3—42no—
242C23×D3C22×C414yes—
243C23×D3C2412yes—
244C22×C3×C4—24no—
245C22×C3×C4—24no—
246C22×C3×C4—416no—
247C22×C3×C4—42no—
248C22×C3×C4—42no—
249C22×C3×C4—42no—
250C22×C3×C4—42no—
251C22×C3×C4C22×C414yes—
252C22×C3×C4C22×C414yes—
253C22×C3×C4C22×C414yes—
254C22×C3×C4C22×C414yes—
255C22×C3×C4C22×C414yes—
256C22×C3×C4C22×C414yes—
257C22×C3×C4C2414yes—
258C22×C3×C4C2414yes—
259C22×C3×C4C2411yescharacteristic
260C22×C3×C4C2411yescharacteristic
261C22×C3×C4C2411yescharacteristic
262C22×C3×C4C2411yescharacteristic
263C2×#67—28no—
264C2×#67—44no—
265C2×#67—416no—
266C2×#67C22×C418yes—
267C2×#67C22×C418yes—
268C22×Dic3—22no—
269C22×Dic3—22no—
270C22×Dic3—28no—
271C22×Dic3—42no—
272C22×Dic3—42no—
273C22×Dic3—44no—
274C22×Dic3—44no—
275C22×Dic3C22×C414yes—
276C22×Dic3C22×C414yes—
277C22×Dic3C22×C414yes—
278C22×Dic3C2414yes—
279C22×Dic3C2414yes—
280C22×Dic3C2412yes—
281C22×Dic3C2412yes—
282C22×Dic3C2412yes—
283C2×C4×D3—44no—
284C2×C4×D3—44no—
285C2×C4×D3—44no—
286C3×C4⋊C4—42no—
287C3×C4⋊C4—42no—
288C3×C22⋊C4—24no—
289C3×C22⋊C4—28no—
290C3×C22⋊C4—24no—
291C3×C22⋊C4—44no—
292C3×C42—44no—
293#217—24no—
294#217—24no—
295#217—44no—
296#217C22×C418yes—
297#217C22×C418yes—
298(C2×D3)⋊C4—44no—
299(C2×D3)⋊C4—44no—
300(C2×D3)⋊C4—44no—
301(C2×D3)⋊C4C22×C418yes—
302(C2×D3)⋊C4C22×C418yes—
303(C2×D3)⋊C4C22×C418yes—
304(C2×D3)⋊C4C22×C418yes—
305C4⋊Dic3—42no—
306C4⋊Dic3—44no—
307C4⋊Dic3—42no—
308Dic3⋊C4—44no—
309Dic3⋊C4—44no—
310Dic3⋊C4—44no—
311Dic3⋊C4C22×C418yes—
312Dic3⋊C4C22×C418yes—
313Dic3⋊C4C22×C418yes—
314Dic3⋊C4C22×C418yes—
315C4×Dic3—44no—
316C4×Dic3—44no—
317C4×Dic3—44no—
318C25—31no—
319C25C22×D311yescharacteristic
320C22×D4—32no—
321C22×D4—38no—
322C22×D4—32no—
323C22×D4—124no—
324C23×C4—31no—
325C23×C4—31no—
326C23×C4—31no—
327C23×C4—34no—
328C23×C4—34no—
329C23×C4—44no—
330C23×C4C4×D318yescomplemented
331C23×C4C22×D311yescharacteristic
332C23×C4C22×D311yescharacteristic
333C23×C4C22×D311yescharacteristic
334C23×C4C22×D311yescharacteristic
335C23×C4C22×D311yescharacteristic
336C23×C4C22×D311yescharacteristic
337#123—316no—
338#123—316no—
339#123—316no—
340#123—316no—
341C4×D4—128no—
342#117—44no—
343#117—124no—
344C2×C4⋊C4—38no—
345C2×C4⋊C4—38no—
346C2×C4⋊C4—32no—
347C2×C4⋊C4—32no—
348C2×C4⋊C4—32no—
349C2×C4⋊C4—32no—
350C2×C4⋊C4—32no—
351C2×C4⋊C4—34no—
352C2×C4⋊C4—32no—
353C2×C4⋊C4—34no—
354C2×C4⋊C4—34no—
355C2×C4⋊C4—34no—
356C2×C4⋊C4—124no—
357C2×C4⋊C4C22×D312yes—
358C2×C4⋊C4C22×D312yes—
359C2×C22⋊C4—38no—
360C2×C22⋊C4—32no—
361C2×C22⋊C4—32no—
362C2×C22⋊C4—38no—
363C2×C22⋊C4—38no—
364C2×C22⋊C4—32no—
365C2×C22⋊C4—32no—
366C2×C22⋊C4—32no—
367C2×C22⋊C4—32no—
368C2×C22⋊C4—32no—
369C2×C22⋊C4—32no—
370C2×C22⋊C4—34no—
371C2×C22⋊C4—34no—
372C2×C22⋊C4—34no—
373C2×C22⋊C4—34no—
374C2×C22⋊C4—124no—
375C2×C22⋊C4—124no—
376C2×C22⋊C4C22×D312yes—
377C2×C22⋊C4C22×D314yes—
378C2×C22⋊C4C22×D312yes—
379C2×C22⋊C4C22×D314yes—
380C2×C42—34no—
381C2×C42—34no—
382C2×C42—34no—
383C2×C42C22×D314yes—
384#95—34no—
385#95—32no—
386#95—32no—
387#95—34no—
388#95—34no—
389#95—34no—
390#95—34no—
391#95—34no—
392#95—34no—
393#95C22×D314yes—
394#95C22×D312yes—
395#95C22×D312yes—
396C23×C3—21no—
397C23×C3—22no—
398C23×C3—21no—
399C23×C3—22no—
400C23×C3—22no—
401C23×C3—28no—
402C23×C3—28no—
403C23×C3—21no—
404C23×C3—22no—
405C23×C3—21no—
406C23×C3—22no—
407C23×C3—44no—
408C23×C3—48no—
409C23×C3—48no—
410C23×C3C23×C412yes—
411C23×C3C23×C412yes—
412C23×C3C23×C412yes—
413C23×C3H(5,𝔽2)14yes—
414C23×C3H(5,𝔽2)12yes—
415C23×C32−1+412yes—
416C23×C3C2511yescharacteristic
417C22×D3—22no—
418C22×D3—24no—
419C22×D3—22no—
420C22×D3—24no—
421C22×D3—28no—
422C22×D3—44no—
423C22×D3—44no—
424C22×D3—84no—
425C22×D3—84no—
426C22×D3C23×C414yes—
427C2×C3×C4—28no—
428C2×C3×C4—28no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—24no—
434C2×C3×C4—24no—
435C2×C3×C4—24no—
436C2×C3×C4—24no—
437C2×C3×C4—24no—
438C2×C3×C4—24no—
439C2×C3×C4—44no—
440C2×C3×C4—44no—
441C2×C3×C4—44no—
442C2×C3×C4—44no—
443C2×C3×C4C23×C412yes—
444C2×C3×C4C23×C412yes—
445C2×C3×C4C23×C412yes—
446C2×C3×C4C23×C412yes—
447#67—216no—
448#67—48no—
449C2×Dic3—28no—
450C2×Dic3—22no—
451C2×Dic3—24no—
452C2×Dic3—22no—
453C2×Dic3—24no—
454C2×Dic3—24no—
455C2×Dic3—24no—
456C2×Dic3—24no—
457C2×Dic3—24no—
458C2×Dic3—24no—
459C2×Dic3—24no—
460C2×Dic3—44no—
461C2×Dic3—44no—
462C2×Dic3—88no—
463C2×Dic3C23×C414yes—
464C2×Dic3C23×C414yes—
465C2×Dic3C23×C414yes—
466C4×D3—88no—
467C24—24no—
468C24—22no—
469C24—22no—
470C24—32no—
471C24—34no—
472C24—42no—
473C24—62no—
474C24—62no—
475C24—122no—
476C24—122no—
477C24C2×C4×D314yes—
478C24C23×D311yescharacteristic
479C24C23×D311yescharacteristic
480C24C23×D311yescharacteristic
481C2×D4—38no—
482C2×D4—38no—
483C2×D4—68no—
484C2×D4—124no—
485C2×D4—1216no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—34no—
489C22×C4—32no—
490C22×C4—32no—
491C22×C4—32no—
492C22×C4—34no—
493C22×C4—34no—
494C22×C4—34no—
495C22×C4—34no—
496C22×C4—416no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—62no—
502C22×C4—62no—
503C22×C4—68no—
504C22×C4—124no—
505C22×C4—124no—
506C22×C4—124no—
507C22×C4—122no—
508C22×C4—122no—
509C22×C4—124no—
510C22×C4—124no—
511C22×C4C2×C4×D314yes—
512C22×C4C2×C4×D314yes—
513C22×C4C2×C4×D314yes—
514C22×C4C2×C4×D314yes—
515C22×C4C2×C4×D314yes—
516C22×C4C2×C4×D314yes—
517C22×C4C23×D314yes—
518C22×C4C23×D314yes—
519C22×C4C23×D311yescharacteristic
520C22×C4C23×D311yescharacteristic
521C22×C4C23×D311yescharacteristic
522C22×C4C23×D311yescharacteristic
523C4⋊C4—38no—
524C4⋊C4—38no—
525C4⋊C4—38no—
526C4⋊C4—38no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—122no—
530C4⋊C4—124no—
531C4⋊C4—122no—
532C4⋊C4—124no—
533C4⋊C4—124no—
534C4⋊C4—124no—
535C22⋊C4—28no—
536C22⋊C4—24no—
537C22⋊C4—24no—
538C22⋊C4—38no—
539C22⋊C4—38no—
540C22⋊C4—38no—
541C22⋊C4—38no—
542C22⋊C4—38no—
543C22⋊C4—38no—
544C22⋊C4—44no—
545C22⋊C4—64no—
546C22⋊C4—64no—
547C22⋊C4—124no—
548C22⋊C4—124no—
549C22⋊C4—124no—
550C22⋊C4—124no—
551C42—44no—
552C42—124no—
553C42—124no—
554C42—124no—
555C22×C3—22no—
556C22×C3—22no—
557C22×C3—22no—
558C22×C3—22no—
559C22×C3—24no—
560C22×C3—24no—
561C22×C3—24no—
562C22×C3—24no—
563C22×C3—22no—
564C22×C3—22no—
565C22×C3—22no—
566C22×C3—416no—
567C22×C3—42no—
568C22×C3—42no—
569C22×C3#51814yes—
570C22×C3#52014yes—
571C22×C3C24×C411yescharacteristic
572C22×C3C2×H(5,𝔽2)12yes—
573C22×C3C2×H(5,𝔽2)11yescharacteristic
574C22×C3C2×2−1+411yescharacteristic
575C22×C3#58512yes—
576C2×D3—24no—
577C2×D3—24no—
578C2×D3—24no—
579C2×D3—44no—
580C2×D3—44no—
581C2×D3—88no—
582C3×C4—22no—
583C3×C4—22no—
584C3×C4—22no—
585C3×C4—22no—
586C3×C4—44no—
587C3×C4—44no—
588Dic3—24no—
589Dic3—24no—
590Dic3—24no—
591Dic3—44no—
592Dic3—44no—
593C23—22no—
594C23—21no—
595C23—21no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—21no—
600C23—21no—
601C23—22no—
602C23—28no—
603C23—28no—
604C23—34no—
605C23—44no—
606C23—48no—
607C23—48no—
608C23—64no—
609C23—62no—
610C23—62no—
611C23—64no—
612C23—68no—
613C23—124no—
614C23—124no—
615C23—244no—
616C23—244no—
617C23C22×C4×D312yes—
618C23C22×C4×D312yes—
619C23C22×C4×D312yes—
620C23#100414yes—
621C23#100912yes—
622C23#101012yes—
623C23C24×D311yescharacteristic
624D4—616no—
625D4—128no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—28no—
631C2×C4—28no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—34no—
639C2×C4—34no—
640C2×C4—34no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—64no—
646C2×C4—62no—
647C2×C4—62no—
648C2×C4—64no—
649C2×C4—68no—
650C2×C4—64no—
651C2×C4—64no—
652C2×C4—64no—
653C2×C4—64no—
654C2×C4—64no—
655C2×C4—64no—
656C2×C4—124no—
657C2×C4—124no—
658C2×C4—248no—
659C2×C4—248no—
660C2×C4C22×C4×D312yes—
661C2×C4C22×C4×D312yes—
662C2×C4C22×C4×D312yes—
663C2×C4C22×C4×D312yes—
664C2×C3—24no—
665C2×C3—24no—
666C2×C3—42no—
667C2×C3C2×#51811yescharacteristic
668C2×C3C2×#52011yescharacteristic
669C2×C3#342811yescharacteristic
670C2×C3#353412yes—
671C2×C3#353512yes—
672D3—44no—
673C22—24no—
674C22—24no—
675C22—24no—
676C22—24no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—416no—
685C22—42no—
686C22—42no—
687C22—64no—
688C22—64no—
689C22—64no—
690C22—124no—
691C22—124no—
692C22—248no—
693C22#548614yes—
694C22#552314yes—
695C22C23×C4×D311yescharacteristic
696C22C2×#100412yes—
697C22C2×#100911yescharacteristic
698C22C2×#101011yescharacteristic
699C22#596412yes—
700C4—22no—
701C4—22no—
702C4—22no—
703C4—22no—
704C4—44no—
705C4—44no—
706C4—64no—
707C4—64no—
708C4—64no—
709C4—124no—
710C4—124no—
711C3#3437611yescharacteristic, complemented, Sylow
712C2—24no—
713C2—24no—
714C2—42no—
715C2—124no—
716C2C2×#548611yescharacteristic
717C2C2×#552311yescharacteristic
718C2#8573111yescharacteristic
719C2#8603012yes—
720C2#8605012yes—
subgroupG/H
center, FrattiniC23C24×D3
commutatorC22×C3C24×C4
FittingC3×#2280C2
socle, cosocleC23×C3C25
prime radicalC23×#67C22
hypercenter#2280D3
hypocenterC3#34376
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2280

Complements

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

NH ≅ G/Ntype
2. C3×#2280C2semidirect
3. C2×#5212C2semidirect
4. #82242C2semidirect
5. #74056C2semidirect
6. #74013C2semidirect
7. #74005C2semidirect
8. #74004C2semidirect
9. #73869C2semidirect
10. #73867C2semidirect
12. #73822C2semidirect
13. #73575C2semidirect
14. #73458C2semidirect
15. #73451C2semidirect
19. C2×C3×#117C22semidirect
22. C2×#929C4semidirect
29. C22×C4⋊Dic3C22semidirect
35. C3×#381C22semidirect
38. C3×#380C22semidirect
41. C3×C4×C22⋊C4C22semidirect
45. #5212C22semidirect
46. #5212C22semidirect
47. C2×C3⋊#95C22semidirect
48. #4990C22semidirect
49. #4989C22semidirect
50. #4978C22semidirect
51. #4976C22semidirect
56. #4946C22semidirect
57. #4945C22semidirect
58. #4944C22semidirect
64. Dic3×C22⋊C4C22semidirect
65. #4940C22semidirect
66. C4×(C2×D3)⋊C4C22semidirect
67. #4933C22semidirect
68. C4×Dic3⋊C4C22semidirect
69. #4670C22semidirect
70. #4670C22semidirect
71. #4668C22semidirect
72. #4668C22semidirect
73. #4655C22semidirect
74. #4655C22semidirect
75. #4647C22semidirect
76. #4647C22semidirect
90. #2280D3semidirect
95. C23×C3×C4C2×C4semidirect
120. C2×#217C2×C4semidirect
126. #929C2×C4semidirect
127. #929C2×C4semidirect
128. #929C2×C4semidirect
129. #929C2×C4semidirect
130. C2×(C2×D3)⋊C4C2×C4semidirect
131. C2×(C2×D3)⋊C4C2×C4semidirect
143. C2×Dic3⋊C4C2×C4semidirect
144. C2×Dic3⋊C4C2×C4semidirect
179. C2×#117C2×D3semidirect
209. #381C2×D3semidirect
219. #380C2×D3semidirect
228. C4×C22⋊C4C2×D3semidirect
330. C23×C4C4×D3semidirect
711. C3#34376semidirect

Maximal subgroups

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

subgroupindex
C22×#9292
C3×#22802
C2×#52122
#822422
#740562
#740132
#740052
#740042
#738692
#738672
#738502
#738222
#735752
#734582
#734512
#343763