Finite Group Databasebeta

← #10794557

Subgroups — #10794557

Order 768.

1582 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#872C211yesmaximal, characteristic
2C2×#4839C212yesmaximal, complemented
3C2×#4726C211yesmaximal, characteristic
4C2×D3×C22⋊C8C211yesmaximal, characteristic
5C3×#1797C211yesmaximal, characteristic, complemented
6#71530C211yesmaximal, characteristic, complemented
7#70476C212yesmaximal, complemented
8#69908C211yesmaximal, characteristic, complemented
9#69908C211yesmaximal, characteristic, complemented
10#68663C212yesmaximal, complemented
11#68661C212yesmaximal, complemented
12#20628—31nomaximal, Sylow
13C23×C4×D3C2211yescharacteristic
14C22×C3×C42C2211yescharacteristic
15C22×(C2×D3)⋊C4C411yescharacteristic
16C22×(C2×D3)⋊C4C411yescharacteristic
17C22×Dic3⋊C4C411yescharacteristic
18C22×Dic3⋊C4C411yescharacteristic
19C22×C4×Dic3C2211yescharacteristic
20C22×ΓL(1,𝔽25)C2212yes—
21C22×D3×C8C2212yes—
22C2×#872—28no—
23C2×#872C411yescharacteristic
24C2×#872C411yescharacteristic
25C2×#872C411yescharacteristic
26C2×#872C411yescharacteristic
27C2×#872C2211yescharacteristic
28C2×#872C2211yescharacteristic
29C2×#872C2211yescharacteristic
30C2×#872C2211yescharacteristic
31C2×C3×C4⋊C8C2212yescomplemented
32C2×C3×C22⋊C8C2211yescharacteristic
33C2×C3×C22⋊C8C2211yescharacteristic
34C2×#830C2211yescharacteristic
35C2×#830C2211yescharacteristic
36C2×(C2×D3)⋊C8C2212yes—
37C2×(C2×D3)⋊C8C2212yes—
38C2×Dic3⋊C8C2212yescomplemented
39C2×Dic3⋊C8C2212yescomplemented
40C2×C4⋊(C3⋊C8)C2212yescomplemented
41#4839—28no—
42#4726—24no—
43D3×C22⋊C8—24no—
44C3×#336C2212yescomplemented
45#4550C2212yescomplemented
46#4550C2212yescomplemented
47#4524C2212yescomplemented
48C22×#117—31no—
49C2×#424—32no—
50C2×#407—31no—
51C22×C22⋊C8—31no—
52#1798—32no—
53#1798—32no—
54#1797—31no—
55#1797—31no—
56#1797—31no—
57#1797D311yescharacteristic, complemented
58#1729—32no—
59C24×D3C2×C411yescharacteristic
60C23×C3×C4C2×C411yescharacteristic
61C23×C3×C4C2×C411yescharacteristic
62C23×C3×C4C2311yescharacteristic
63C23×Dic3C2×C411yescharacteristic
64C23×Dic3C2×C411yescharacteristic
65C23×Dic3C2×C411yescharacteristic
66C22×C4×D3—24no—
67C22×C4×D3—24no—
68C22×C4×D3C2×C411yescharacteristic
69C22×C4×D3C2×C411yescharacteristic
70C22×C4×D3D414yes—
71C22×C4×D3Q814yes—
72C22×C4×D3C2311yescharacteristic
73C22×C4×D3C2311yescharacteristic
74C22×C3×C8C2312yes—
75C22×C3×C8C2312yes—
76C2×C3×C42—24no—
77C2×C3×C42C2×C411yescharacteristic
78C2×C3×C42C2×C411yescharacteristic
79C2×C3×C42C2311yescharacteristic
80C2×C3×C42C2311yescharacteristic
81C2×(C2×D3)⋊C4—24no—
82C2×(C2×D3)⋊C4—24no—
83C2×(C2×D3)⋊C4C2×C411yescharacteristic
84C2×(C2×D3)⋊C4C2×C411yescharacteristic
85C2×(C2×D3)⋊C4C2×C411yescharacteristic
86C2×(C2×D3)⋊C4C2×C411yescharacteristic
87C2×(C2×D3)⋊C4C2×C411yescharacteristic
88C2×(C2×D3)⋊C4C2×C411yescharacteristic
89C2×(C2×D3)⋊C4C2×C411yescharacteristic
90C2×(C2×D3)⋊C4C2×C411yescharacteristic
91C2×Dic3⋊C4—24no—
92C2×Dic3⋊C4—24no—
93C2×Dic3⋊C4C2×C411yescharacteristic
94C2×Dic3⋊C4C2×C411yescharacteristic
95C2×Dic3⋊C4C2×C411yescharacteristic
96C2×Dic3⋊C4C2×C411yescharacteristic
97C2×Dic3⋊C4C2×C411yescharacteristic
98C2×Dic3⋊C4C2×C411yescharacteristic
99C2×Dic3⋊C4C2×C411yescharacteristic
100C2×Dic3⋊C4C2×C411yescharacteristic
101C2×C4×Dic3—24no—
102C2×C4×Dic3C2×C411yescharacteristic
103C2×C4×Dic3C2×C411yescharacteristic
104C2×C4×Dic3C2311yescharacteristic
105C2×C4×Dic3C2311yescharacteristic
106C22×C3⋊C8C2312yes—
107C22×C3⋊C8C2312yes—
108C2×ΓL(1,𝔽25)—24no—
109C2×ΓL(1,𝔽25)—24no—
110C2×ΓL(1,𝔽25)—24no—
111C2×D3×C8—24no—
112C2×D3×C8—24no—
113C2×D3×C8—24no—
114#872—24no—
115#872—24no—
116#872—24no—
117#872—24no—
118#872—24no—
119#872—24no—
120#872—24no—
121#872D418yes—
122C3×C4⋊C8—24no—
123C3×C22⋊C8—22no—
124C3×C22⋊C8—22no—
125#830—22no—
126#830—22no—
127(C2×D3)⋊C8—24no—
128(C2×D3)⋊C8—24no—
129Dic3⋊C8—24no—
130Dic3⋊C8—24no—
131C4⋊(C3⋊C8)—24no—
132C24×C4—31no—
133C22×M16—32no—
134C23×C8—32no—
135C2×#117—31no—
136C2×#117—31no—
137C2×#117—31no—
138C2×#117—31no—
139C2×#117—31no—
140C2×#117—31no—
141C2×#117—31no—
142C2×#117—31no—
143C2×#117—68no—
144C22×C4⋊C4—31no—
145C22×C4⋊C4—31no—
146C22×C22⋊C4—31no—
147C22×C22⋊C4—31no—
148C22×C42—31no—
149C22×C42C2×D311yescharacteristic
150#424—68no—
151C2×C4⋊C8—32no—
152C2×C4⋊C8—32no—
153C2×C4⋊C8—32no—
154C2×C4⋊C8C2×D312yescomplemented
155#407—64no—
156C2×C22⋊C8—31no—
157C2×C22⋊C8—31no—
158C2×C22⋊C8—32no—
159C2×C22⋊C8—32no—
160C2×C22⋊C8—64no—
161C2×C22⋊C8C2×D311yescharacteristic
162C2×C22⋊C8C2×D311yescharacteristic
163#336—32no—
164#336—32no—
165#336—32no—
166#336C2×D312yescomplemented
167C24×C3C22×C411yescharacteristic
168C23×D3—22no—
169C23×D3—22no—
170C23×D3—22no—
171C23×D3—22no—
172C23×D3—41no—
173C23×D3—41no—
174C23×D3C4⋊C414yes—
175C23×D3C22×C411yescharacteristic
176C23×D3C22×C411yescharacteristic
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—41no—
184C22×C3×C4—41no—
185C22×C3×C4C22×C411yescharacteristic
186C22×C3×C4C22×C411yescharacteristic
187C22×C3×C4C22×C411yescharacteristic
188C22×C3×C4C22×C411yescharacteristic
189C22×C3×C4C22×C411yescharacteristic
190C22×C3×C4C2×D412yes—
191C22×C3×C4C2×Q812yes—
192C22×C3×C4C2411yescharacteristic
193C22×Dic3—22no—
194C22×Dic3—22no—
195C22×Dic3—22no—
196C22×Dic3—22no—
197C22×Dic3—22no—
198C22×Dic3—22no—
199C22×Dic3—41no—
200C22×Dic3—41no—
201C22×Dic3C4⋊C414yes—
202C22×Dic3C22×C411yescharacteristic
203C22×Dic3C22×C411yescharacteristic
204C22×Dic3C22×C411yescharacteristic
205C22×Dic3C22×C411yescharacteristic
206C22×Dic3C22×C411yescharacteristic
207C22×Dic3C22×C411yescharacteristic
208C2×C4×D3—22no—
209C2×C4×D3—22no—
210C2×C4×D3—22no—
211C2×C4×D3—22no—
212C2×C4×D3—22no—
213C2×C4×D3—22no—
214C2×C4×D3—216no—
215C2×C4×D3—216no—
216C2×C4×D3C4⋊C414yes—
217C2×C4×D3C4⋊C414yes—
218C2×C4×D3C2×D412yes—
219C2×C4×D3C2×D412yes—
220C2×C4×D3C2×D414yes—
221C2×C4×D3C2×Q812yes—
222C2×C4×D3C2×Q812yes—
223C2×C4×D3#4114yes—
224C2×C3×C8—22no—
225C2×C3×C8—22no—
226C2×C3×C8—22no—
227C2×C3×C8—22no—
228C2×C3×C8—22no—
229C2×C3×C8—22no—
230C3×C42—22no—
231C3×C42—22no—
232C3×C42—22no—
233C3×C42C2×D414yes—
234(C2×D3)⋊C4—22no—
235(C2×D3)⋊C4—22no—
236(C2×D3)⋊C4—22no—
237(C2×D3)⋊C4—22no—
238(C2×D3)⋊C4—22no—
239(C2×D3)⋊C4—22no—
240(C2×D3)⋊C4C22⋊C414yes—
241(C2×D3)⋊C4C22⋊C414yes—
242Dic3⋊C4—22no—
243Dic3⋊C4—22no—
244Dic3⋊C4—22no—
245Dic3⋊C4—22no—
246Dic3⋊C4—22no—
247Dic3⋊C4—22no—
248Dic3⋊C4C22⋊C414yes—
249Dic3⋊C4C22⋊C414yes—
250C4×Dic3—22no—
251C4×Dic3—22no—
252C4×Dic3—22no—
253C4×Dic3C2×D414yes—
254C2×C3⋊C8—22no—
255C2×C3⋊C8—22no—
256C2×C3⋊C8—22no—
257C2×C3⋊C8—22no—
258C2×C3⋊C8—22no—
259C2×C3⋊C8—22no—
260ΓL(1,𝔽25)—48no—
261D3×C8—48no—
262C25—31no—
263C23×C4—31no—
264C23×C4—31no—
265C23×C4—31no—
266C23×C4—31no—
267C23×C4—34no—
268C23×C4—34no—
269C23×C4—31no—
270C23×C4—31no—
271C23×C4—31no—
272C23×C4—64no—
273C23×C4—64no—
274C23×C4C4×D311yescharacteristic
275C23×C4C4×D311yescharacteristic
276C23×C4C22×D311yescharacteristic
277C2×M16—64no—
278C2×M16—64no—
279C2×M16—64no—
280C22×C8—32no—
281C22×C8—32no—
282C22×C8—64no—
283C22×C8—64no—
284C22×C8—64no—
285C22×C8C22×D312yes—
286C22×C8C22×D312yes—
287#117—38no—
288#117—64no—
289#117—64no—
290#117—64no—
291#117—64no—
292#117—64no—
293#117—64no—
294#117—64no—
295C2×C4⋊C4—31no—
296C2×C4⋊C4—31no—
297C2×C4⋊C4—31no—
298C2×C4⋊C4—31no—
299C2×C4⋊C4—31no—
300C2×C4⋊C4—31no—
301C2×C4⋊C4—31no—
302C2×C4⋊C4—31no—
303C2×C4⋊C4—64no—
304C2×C4⋊C4—64no—
305C2×C22⋊C4—31no—
306C2×C22⋊C4—31no—
307C2×C22⋊C4—31no—
308C2×C22⋊C4—31no—
309C2×C22⋊C4—31no—
310C2×C22⋊C4—31no—
311C2×C22⋊C4—31no—
312C2×C22⋊C4—31no—
313C2×C22⋊C4—64no—
314C2×C22⋊C4—64no—
315C2×C42—24no—
316C2×C42—31no—
317C2×C42—31no—
318C2×C42—31no—
319C2×C42—31no—
320C2×C42—64no—
321C2×C42C4×D311yescharacteristic
322C2×C42C4×D311yescharacteristic
323C2×C42C22×D311yescharacteristic
324C2×C42C22×D311yescharacteristic
325C4⋊C8—24no—
326C4⋊C8—64no—
327C4⋊C8—64no—
328C4⋊C8—64no—
329C22⋊C8—22no—
330C22⋊C8—22no—
331C22⋊C8—64no—
332C22⋊C8—64no—
333C22⋊C8—62no—
334C22⋊C8—62no—
335C23×C3—21no—
336C23×C3—21no—
337C23×C3—21no—
338C23×C3—21no—
339C23×C3C2×C4⋊C412yes—
340C23×C3#13112yes—
341C23×C3#13112yes—
342C23×C3C23×C411yescharacteristic
343C22×D3—21no—
344C22×D3—21no—
345C22×D3—21no—
346C22×D3—21no—
347C22×D3—21no—
348C22×D3—21no—
349C22×D3—21no—
350C22×D3—21no—
351C22×D3—21no—
352C22×D3—21no—
353C22×D3—28no—
354C22×D3—28no—
355C22×D3—44no—
356C22×D3—44no—
357C22×D3—44no—
358C22×D3—44no—
359C22×D3—44no—
360C22×D3C2×C22⋊C412yes—
361C22×D3C2×C4⋊C412yes—
362C22×D3C2×C4⋊C412yes—
363C22×D3#11712yes—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—44no—
379C2×C3×C4—44no—
380C2×C3×C4C2×C22⋊C412yes—
381C2×C3×C4C2×C22⋊C412yes—
382C2×C3×C4C2×C4⋊C412yes—
383C2×C3×C4C22×D411yescharacteristic
384C2×C3×C4C22×D412yes—
385C2×C3×C4C22×Q811yescharacteristic
386C2×C3×C4C2×#4112yes—
387C2×Dic3—21no—
388C2×Dic3—21no—
389C2×Dic3—21no—
390C2×Dic3—21no—
391C2×Dic3—21no—
392C2×Dic3—21no—
393C2×Dic3—28no—
394C2×Dic3—21no—
395C2×Dic3—21no—
396C2×Dic3—21no—
397C2×Dic3—21no—
398C2×Dic3—21no—
399C2×Dic3—21no—
400C2×Dic3—44no—
401C2×Dic3—44no—
402C2×Dic3C2×C22⋊C412yes—
403C2×Dic3C2×C22⋊C412yes—
404C2×Dic3C2×C22⋊C412yes—
405C2×Dic3C2×C4⋊C412yes—
406C2×Dic3C2×C4⋊C412yes—
407C2×Dic3#11712yes—
408C4×D3—28no—
409C4×D3—24no—
410C4×D3—24no—
411C4×D3—28no—
412C4×D3#12118yes—
413C4×D3C22⋊Q818yes—
414C3×C8—42no—
415C3×C8—42no—
416C3⋊C8—42no—
417C3⋊C8—42no—
418C24—31no—
419C24—31no—
420C24—34no—
421C24—62no—
422C24—62no—
423C24—62no—
424C24—62no—
425C24—121no—
426C24—121no—
427C24C2×C4×D311yescharacteristic
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—31no—
435C22×C4—34no—
436C22×C4—32no—
437C22×C4—32no—
438C22×C4—34no—
439C22×C4—34no—
440C22×C4—31no—
441C22×C4—31no—
442C22×C4—31no—
443C22×C4—34no—
444C22×C4—34no—
445C22×C4—32no—
446C22×C4—32no—
447C22×C4—31no—
448C22×C4—31no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4—62no—
452C22×C4—62no—
453C22×C4—616no—
454C22×C4—616no—
455C22×C4—62no—
456C22×C4—62no—
457C22×C4—62no—
458C22×C4—62no—
459C22×C4—62no—
460C22×C4—62no—
461C22×C4—62no—
462C22×C4—62no—
463C22×C4—62no—
464C22×C4—62no—
465C22×C4—121no—
466C22×C4—121no—
467C22×C4C2×C4×D311yescharacteristic
468C22×C4C2×C4×D311yescharacteristic
469C22×C4C2×C4×D311yescharacteristic
470C22×C4C2×C4×D311yescharacteristic
471C22×C4C2×C4×D311yescharacteristic
472C22×C4D3×D412yes—
473C22×C4D3×Q812yes—
474C22×C4C23×D311yescharacteristic
475M16—128no—
476C2×C8—22no—
477C2×C8—22no—
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—22no—
481C2×C8—22no—
482C2×C8—62no—
483C2×C8—62no—
484C2×C8—62no—
485C2×C8—62no—
486C2×C8—62no—
487C2×C8—62no—
488C2×C8—128no—
489C4⋊C4—34no—
490C4⋊C4—34no—
491C4⋊C4—62no—
492C4⋊C4—62no—
493C4⋊C4—62no—
494C4⋊C4—62no—
495C4⋊C4—62no—
496C4⋊C4—62no—
497C22⋊C4—34no—
498C22⋊C4—34no—
499C22⋊C4—62no—
500C22⋊C4—62no—
501C22⋊C4—62no—
502C22⋊C4—62no—
503C22⋊C4—62no—
504C22⋊C4—62no—
505C42—22no—
506C42—22no—
507C42—22no—
508C42—34no—
509C42—62no—
510C42—62no—
511C42—62no—
512C42D3×D414yes—
513C22×C3—22no—
514C22×C3—22no—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—22no—
518C22×C3—22no—
519C22×C3#42414yescomplemented
520C22×C3C22×C22⋊C411yescharacteristic
521C22×C3C22×C4⋊C411yescharacteristic
522C22×C3C2×#11711yescharacteristic
523C22×C3C2×#13111yescharacteristic
524C22×C3C2×#13111yescharacteristic
525C22×C3#56811yescharacteristic
526C22×C3#56811yescharacteristic
527C2×D3—22no—
528C2×D3—22no—
529C2×D3—22no—
530C2×D3—22no—
531C2×D3—22no—
532C2×D3—22no—
533C2×D3—22no—
534C2×D3—22no—
535C2×D3—22no—
536C2×D3—416no—
537C2×D3—41no—
538C2×D3—41no—
539C2×D3—41no—
540C2×D3—41no—
541C2×D3#38014yes—
542C3×C4—22no—
543C3×C4—22no—
544C3×C4—22no—
545C3×C4—41no—
546C3×C4—41no—
547C3×C4C2×#12112yes—
548C3×C4C2×C22⋊Q812yes—
549Dic3—22no—
550Dic3—22no—
551Dic3—22no—
552Dic3—41no—
553Dic3—41no—
554Dic3#38014yes—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—32no—
560C23—32no—
561C23—32no—
562C23—32no—
563C23—68no—
564C23—61no—
565C23—61no—
566C23—61no—
567C23—61no—
568C23—61no—
569C23—61no—
570C23—61no—
571C23—61no—
572C23—61no—
573C23—61no—
574C23—68no—
575C23—124no—
576C23—124no—
577C23—124no—
578C23—124no—
579C23—124no—
580C23D3×C4⋊C412yes—
581C23#90112yes—
582C23#90712yes—
583C23C22×C4×D311yescharacteristic
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—32no—
599C2×C4—32no—
600C2×C4—32no—
601C2×C4—38no—
602C2×C4—38no—
603C2×C4—32no—
604C2×C4—32no—
605C2×C4—32no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—68no—
609C2×C4—68no—
610C2×C4—68no—
611C2×C4—61no—
612C2×C4—61no—
613C2×C4—61no—
614C2×C4—61no—
615C2×C4—61no—
616C2×C4—61no—
617C2×C4—64no—
618C2×C4—64no—
619C2×C4—61no—
620C2×C4—61no—
621C2×C4—61no—
622C2×C4—61no—
623C2×C4—61no—
624C2×C4—61no—
625C2×C4—124no—
626C2×C4—124no—
627C2×C4D3×C22⋊C412yes—
628C2×C4D3×C22⋊C412yes—
629C2×C4D3×C4⋊C412yes—
630C2×C4C2×D3×D411yescharacteristic
631C2×C4C2×D3×D412yes—
632C2×C4C2×D3×Q811yescharacteristic
633C2×C4D3×#4112yes—
634C8—42no—
635C8—42no—
636C8—122no—
637C8—122no—
638C2×C3—24no—
639C2×C3C2×#38011yescharacteristic
640C2×C3#288011yescharacteristic
641C2×C3#288011yescharacteristic
642C2×C3C2×#42411yescharacteristic
643C2×C3#290511yescharacteristic
644C2×C3#292411yescharacteristic
645C2×C3#292411yescharacteristic
646D3—24no—
647D3—42no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—34no—
655C22—62no—
656C22—62no—
657C22—62no—
658C22—62no—
659C22—62no—
660C22—62no—
661C22—62no—
662C22—62no—
663C22—62no—
664C22—1216no—
665C22—121no—
666C22—121no—
667C22—121no—
668C22—121no—
669C22#483914yescomplemented
670C22C2×D3×C22⋊C411yescharacteristic
671C22C2×D3×C4⋊C411yescharacteristic
672C22D3×#11711yescharacteristic
673C22C2×#90111yescharacteristic
674C22C2×#90711yescharacteristic
675C22#574511yescharacteristic
676C22#574511yescharacteristic
677C4—22no—
678C4—22no—
679C4—22no—
680C4—34no—
681C4—41no—
682C4—41no—
683C4—62no—
684C4—62no—
685C4—62no—
686C4—121no—
687C4—121no—
688C4D3×#12112yes—
689C4D3×C22⋊Q812yes—
690C3#2062811yescharacteristic, complemented, Sylow
691C2—24no—
692C2—64no—
693C2—122no—
694C2D3×#38011yescharacteristic
695C2#7860011yescharacteristic
696C2#7863111yescharacteristic
697C2C2×#483911yescharacteristic
698C2#7904811yescharacteristic
699C2#7928411yescharacteristic
700C2#7933311yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D3
commutator, socleC23×C3C23×C4
FittingC3×#1797C2
prime radicalC24×D3C2×C4
cosocleC22×C3×C4C24
hypercenter#1797D3
hypocenterC3#20628
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ #1797

Complements

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

NH ≅ G/Ntype
2. C2×#4839C2semidirect
5. C3×#1797C2semidirect
6. #71530C2semidirect
7. #70476C2semidirect
8. #69908C2semidirect
9. #69908C2semidirect
10. #68663C2semidirect
11. #68661C2semidirect
31. C2×C3×C4⋊C8C22semidirect
38. C2×Dic3⋊C8C22semidirect
39. C2×Dic3⋊C8C22semidirect
40. C2×C4⋊(C3⋊C8)C22semidirect
44. C3×#336C22semidirect
45. #4550C22semidirect
46. #4550C22semidirect
47. #4524C22semidirect
57. #1797D3semidirect
154. C2×C4⋊C8C2×D3semidirect
166. #336C2×D3semidirect
519. C22×C3#424semidirect
669. C22#4839semidirect
690. C3#20628semidirect

Maximal subgroups

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

subgroupindex
C22×#8722
C2×#48392
C2×#47262
C2×D3×C22⋊C82
C3×#17972
#715302
#704762
#699082
#686632
#686612
#206283