Finite Group Databasebeta

← #29603711

Subgroups — #29603711

Order 15616.

2366 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#11758196C211yesmaximal, characteristic
2C2×#16839660C212yesmaximal, complemented
3C2×#16839637C211yesmaximal, characteristic
4C2×#16839637C211yesmaximal, characteristic
5C2×#16839635C211yesmaximal, characteristic
6#21444083C212yesmaximal, complemented
7#21444071C212yesmaximal, complemented
8#21444052C212yesmaximal, complemented
9#21444041C211yesmaximal, characteristic
10#21444041C211yesmaximal, characteristic
11C2×C4×C22⋊C4×C61C211yesmaximal, characteristic
12C24×Dic61C2211yescharacteristic
13C24×Dic61C2211yescharacteristic
14C22×C4⋊Dic61C2212yes—
15C22×C4⋊Dic61C2212yes—
16C22×#11758196—28no—
17C22×#11758196—24no—
18C22×#11758196C2212yes—
19C22×#11758196C2211yescharacteristic
20C22×#11758196C2212yes—
21C22×#11758196C2211yescharacteristic
22C22×C22⋊Dic61C2211yescharacteristic
23C22×C22⋊Dic61C2211yescharacteristic
24#16839660—28no—
25#16839637—24no—
26#16839637C418yescomplemented
27#16839635—24no—
28C2×#14519684C2211yescharacteristic
29C2×#14519684C2211yescharacteristic
30C2×#14519684C2212yes—
31C2×#14519684C2212yes—
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C2×#14519684C2212yes—
35C2×#14519684C2212yes—
36C24×C4×C61C2211yescharacteristic
37C22×C22⋊C4×C61C2211yescharacteristic
38C22×C22⋊C4×C61C2211yescharacteristic
39C22×C42×C61C2212yes—
40C4×C22⋊C4×C61—24no—
41C2×#95×C61C2212yes—
42C23×Dic61—22no—
43C23×Dic61—22no—
44C23×Dic61—24no—
45C23×Dic61—24no—
46C23×Dic61—22no—
47C23×Dic61—24no—
48C23×Dic61—22no—
49C23×Dic61—22no—
50C23×Dic61—42no—
51C23×Dic61C2×C414yes—
52C23×Dic61C2311yescharacteristic
53C23×Dic61C2311yescharacteristic
54C23×Dic61C2311yescharacteristic
55C23×Dic61C2311yescharacteristic
56C23×Dic61C2312yes—
57C23×Dic61C2312yes—
58C2×C4⋊Dic61—24no—
59C2×C4⋊Dic61—24no—
60C2×C4⋊Dic61—24no—
61C2×C4⋊Dic61—24no—
62C2×C4⋊Dic61—42no—
63C2×C4⋊Dic61C2×C418yescomplemented
64C2×#11758196—232no—
65C2×#11758196—24no—
66C2×#11758196—24no—
67C2×#11758196—24no—
68C2×#11758196—24no—
69C2×#11758196—24no—
70C2×#11758196—22no—
71C2×#11758196—22no—
72C2×#11758196—24no—
73C2×#11758196—42no—
74C2×#11758196D418yes—
75C2×C22⋊Dic61—22no—
76C2×C22⋊Dic61—22no—
77C2×C22⋊Dic61—22no—
78C2×C22⋊Dic61—22no—
79C2×C22⋊Dic61—22no—
80C2×C22⋊Dic61C2×C414yes—
81#14519684—22no—
82#14519684—22no—
83#14519684—24no—
84#14519684—24no—
85#14519684—24no—
86#14519684—24no—
87#14519684—42no—
88#14519684C2×C418yescomplemented
89C25×C61C2311yescharacteristic
90C23×C4×C61—22no—
91C23×C4×C61—22no—
92C23×C4×C61—24no—
93C23×C4×C61—42no—
94C23×C4×C61D414yes—
95C23×C4×C61C2311yescharacteristic
96C23×C4×C61C2312yes—
97C23×C4×C61C2312yes—
98C23×C4×C61C2311yescharacteristic
99C2×C22⋊C4×C61—22no—
100C2×C22⋊C4×C61—22no—
101C2×C22⋊C4×C61C2×C414yes—
102C2×C22⋊C4×C61D414yes—
103C2×C22⋊C4×C61Q814yes—
104C2×C22⋊C4×C61Q814yes—
105C2×C42×C61—24no—
106C2×C42×C61—24no—
107C2×C42×C61—42no—
108#95×C61—24no—
109C24×C61—22no—
110C24×C61—22no—
111C24×C61—22no—
112C24×C61—22no—
113C24×C61C22×C412yes—
114C24×C61C2×D412yes—
115C24×C61C2×D412yes—
116C24×C61C2×Q812yes—
117C24×C61C2×Q812yes—
118C24×C61#4112yes—
119C24×C61#4112yes—
120C24×C61C2411yescharacteristic
121C22×C4×C61—21no—
122C22×C4×C61—22no—
123C22×C4×C61—21no—
124C22×C4×C61—22no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—28no—
129C22×C4×C61—21no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61—21no—
135C22×C4×C61—22no—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—28no—
140C22×C4×C61—44no—
141C22×C4×C61—48no—
142C22×C4×C61—48no—
143C22×C4×C61C22×C414yes—
144C22×C4×C61C2×D412yes—
145C22×C4×C61C2×D414yes—
146C22×C4×C61C2×D412yes—
147C22×C4×C61C2×D414yes—
148C22×C4×C61C2×Q814yes—
149C22×C4×C61C2×Q814yes—
150C22×Dic61—216no—
151C22×Dic61—28no—
152C22×Dic61—28no—
153C22×Dic61—28no—
154C22×Dic61—22no—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—22no—
158C22×Dic61—216no—
159C22×Dic61—28no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—22no—
170C22×Dic61—22no—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—21no—
175C22×Dic61—21no—
176C22×Dic61—22no—
177C22×Dic61—21no—
178C22×Dic61—21no—
179C22×Dic61—22no—
180C22×Dic61—21no—
181C22×Dic61—21no—
182C22×Dic61—22no—
183C22×Dic61—22no—
184C22×Dic61—48no—
185C22×Dic61—48no—
186C22×Dic61—44no—
187C22×Dic61—44no—
188C22×Dic61C22×C412yes—
189C22×Dic61C22×C412yes—
190C22×Dic61C22×C414yes—
191C22×Dic61C2×D414yes—
192C22×Dic61C2×D414yes—
193C22×Dic61#4114yes—
194C22⋊C4×C61—28no—
195C22⋊C4×C61C4⋊C4116yescomplemented
196C42×C61—48no—
197C22⋊Dic61—28no—
198C22⋊Dic61—44no—
199C4⋊Dic61—216no—
200C4⋊Dic61—48no—
201#11758196—216no—
202#11758196—216no—
203#11758196—44no—
204#11758196—44no—
205C23×C61—24no—
206C23×C61—24no—
207C23×C61—22no—
208C23×C61—22no—
209C23×C61—24no—
210C23×C61—22no—
211C23×C61—22no—
212C23×C61—24no—
213C23×C61—24no—
214C23×C61—24no—
215C23×C61—24no—
216C23×C61—24no—
217C23×C61—24no—
218C23×C61—24no—
219C23×C61—24no—
220C23×C61—24no—
221C23×C61C2×C4⋊C414yes—
222C23×C61C4×D414yes—
223C23×C61C4×Q814yes—
224C23×C61#12114yes—
225C23×C61C22⋊Q814yes—
226C23×C61#12514yes—
227C23×C61C4⋊Q814yes—
228C23×C61C23×C411yescharacteristic
229C23×C61C22×D411yescharacteristic
230C23×C61C22×D411yescharacteristic
231C23×C61C22×D412yes—
232C23×C61C22×Q811yescharacteristic
233C23×C61C22×Q811yescharacteristic
234C23×C61C2×#4111yescharacteristic
235C23×C61C2×#4112yes—
236C23×C61C2×#4111yescharacteristic
237C23×C61H(5,𝔽2)12yes—
238C23×C612−1+412yes—
239C2×C4×C61—24no—
240C2×C4×C61—24no—
241C2×C4×C61—22no—
242C2×C4×C61—22no—
243C2×C4×C61—24no—
244C2×C4×C61—24no—
245C2×C4×C61—24no—
246C2×C4×C61—24no—
247C2×C4×C61—24no—
248C2×C4×C61—24no—
249C2×C4×C61—22no—
250C2×C4×C61—22no—
251C2×C4×C61—24no—
252C2×C4×C61—22no—
253C2×C4×C61—24no—
254C2×C4×C61—24no—
255C2×C4×C61—416no—
256C2×C4×C61—42no—
257C2×C4×C61—42no—
258C2×C4×C61—42no—
259C2×C4×C61—42no—
260C2×C4×C61—42no—
261C2×C4×C61—42no—
262C2×C4×C61C2×C4⋊C418yescomplemented
263C2×C4×C61#12014yes—
264C2×Dic61—232no—
265C2×Dic61—24no—
266C2×Dic61—24no—
267C2×Dic61—24no—
268C2×Dic61—24no—
269C2×Dic61—24no—
270C2×Dic61—24no—
271C2×Dic61—24no—
272C2×Dic61—22no—
273C2×Dic61—22no—
274C2×Dic61—24no—
275C2×Dic61—24no—
276C2×Dic61—24no—
277C2×Dic61—24no—
278C2×Dic61—416no—
279C2×Dic61—41no—
280C2×Dic61—42no—
281C2×Dic61—42no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—42no—
285C2×Dic61—41no—
286C2×Dic61—42no—
287C2×Dic61—42no—
288C2×Dic61—42no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—42no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299C2×Dic61C4×D418yes—
300#14043—611nomaximal, Sylow
301C22×C61—24no—
302C22×C61—24no—
303C22×C61—28no—
304C22×C61—28no—
305C22×C61—24no—
306C22×C61—24no—
307C22×C61—24no—
308C22×C61—28no—
309C22×C61—28no—
310C22×C61—24no—
311C22×C61#38918yescomplemented
312C22×C61C22×C4⋊C411yescharacteristic
313C22×C61C2×C4×D412yes—
314C22×C61C2×C4×D411yescharacteristic
315C22×C61C2×C4×Q811yescharacteristic
316C22×C61#52012yes—
317C22×C61C2×#12011yescharacteristic
318C22×C61C2×#12111yescharacteristic
319C22×C61C2×C22⋊Q811yescharacteristic
320C22×C61#52512yes—
321C22×C61#52511yescharacteristic
322C22×C61C2×#12511yescharacteristic
323C22×C61C2×C4⋊Q811yescharacteristic
324C22×C61#53411yescharacteristic
325C22×C61#53611yescharacteristic
326C22×C61#53912yes—
327C22×C61D4212yes—
328C22×C61#54612yes—
329C22×C61#54712yes—
330C22×C61D4×Q812yes—
331C22×C61D4×Q812yes—
332C22×C61#55212yes—
333C22×C61#55412yes—
334C22×C61#55412yes—
335C4×C61—28no—
336C4×C61—24no—
337C4×C61—42no—
338C4×C61—44no—
339Dic61—28no—
340Dic61—42no—
341Dic61—44no—
342Dic61—42no—
343Dic61—81no—
344Dic61—81no—
345C23×C4⋊C4—611no—
346C2×#389—612no—
347C2×#385—611no—
348C2×#385—611no—
349C2×#385—611no—
350C2×C4×C22⋊C4D6111yescharacteristic
351#1444—612no—
352#1441—612no—
353#1436—612no—
354C22⋊#95—611no—
355C22⋊#95—611no—
356C2×C61—28no—
357C2×C61C2×#38911yescharacteristic
358C2×C61C4×#12011yescharacteristic
359C2×C61#232211yescharacteristic
360C2×C61D4×C4⋊C412yes—
361C2×C61#236012yes—
362C2×C61#241011yescharacteristic
363C2×C61#241311yescharacteristic
364C2×C61#243411yescharacteristic
365C2×C61#244912yes—
366C2×C61#247312yes—
367C2×C61#258311yescharacteristic
368C24×C4—611no—
369C24×C4—611no—
370C24×C4C2×D6111yescharacteristic
371C22×C4⋊C4—612no—
372C22×C4⋊C4—612no—
373C22×C4⋊C4—612no—
374C22×C4⋊C4—611no—
375C22×C4⋊C4—612no—
376C22×C4⋊C4—611no—
377C22×C4⋊C4—1228no—
378C22×C4⋊C4—1224no—
379C22×C22⋊C4—611no—
380C22×C22⋊C4—611no—
381C22×C22⋊C4C2×D6111yescharacteristic
382C22×C22⋊C4C2×D6111yescharacteristic
383C22×C42C2×D6112yes—
384#389—1228no—
385#385—618no—
386#385—1224no—
387#385—1224no—
388C4×C22⋊C4—24no—
389C2×#95—612no—
390C2×#95—612no—
391C2×#95—612no—
392C2×#95—612no—
393C2×#95—611no—
394C2×#95—612no—
395C2×#95—611no—
396C2×#95—612no—
397C2×#95C2×D6112yes—
398C61#1404311yescharacteristic, complemented, Sylow
399C25C22×D6111yescharacteristic
400C23×C4—22no—
401C23×C4—22no—
402C23×C4—24no—
403C23×C4—42no—
404C23×C4—612no—
405C23×C4—614no—
406C23×C4—611no—
407C23×C4—611no—
408C23×C4—612no—
409C23×C4—611no—
410C23×C4—611no—
411C23×C4—1224no—
412C23×C4—1224no—
413C23×C4—1224no—
414C23×C4—1222no—
415C23×C4—1222no—
416C23×C4—1222no—
417C23×C4—1222no—
418C23×C4—1222no—
419C23×C4—2442no—
420C23×C4D24414yes—
421C23×C4C22×D6112yes—
422C23×C4C22×D6111yescharacteristic
423C23×C4C22×D6112yes—
424C23×C4C22×D6111yescharacteristic
425C2×C4⋊C4—618no—
426C2×C4⋊C4—618no—
427C2×C4⋊C4—1224no—
428C2×C4⋊C4—1224no—
429C2×C4⋊C4—1224no—
430C2×C4⋊C4—1224no—
431C2×C4⋊C4—12232no—
432C2×C4⋊C4—1224no—
433C2×C4⋊C4—1224no—
434C2×C4⋊C4—1224no—
435C2×C4⋊C4—1224no—
436C2×C4⋊C4—1222no—
437C2×C4⋊C4—1222no—
438C2×C4⋊C4—1224no—
439C2×C4⋊C4—1224no—
440C2×C4⋊C4—2442no—
441C2×C4⋊C4—2442no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—22no—
444C2×C22⋊C4—614no—
445C2×C22⋊C4—1222no—
446C2×C22⋊C4—1222no—
447C2×C22⋊C4—1222no—
448C2×C22⋊C4—1222no—
449C2×C22⋊C4—1222no—
450C2×C22⋊C4Dic12214yes—
451C2×C22⋊C4Dic12214yes—
452C2×C22⋊C4C4×D6114yes—
453C2×C22⋊C4C22⋊D6114yes—
454C2×C42—24no—
455C2×C42—24no—
456C2×C42—42no—
457#95—24no—
458#95—618no—
459#95—1224no—
460#95—1224no—
461#95—1224no—
462#95—1222no—
463#95—1222no—
464#95—1224no—
465#95—2442no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24C2×Dic12212yes—
471C24C2×Dic12212yes—
472C24C2×C4×D6112yes—
473C24C2×D24412yes—
474C24#1175822212yes—
475C24#1175822212yes—
476C24C2×C22⋊D6112yes—
477C24C23×D6111yescharacteristic
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—28no—
496C22×C4—28no—
497C22×C4—44no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—614no—
501C22×C4—614no—
502C22×C4—614no—
503C22×C4—612no—
504C22×C4—612no—
505C22×C4—614no—
506C22×C4—12216no—
507C22×C4—1228no—
508C22×C4—12216no—
509C22×C4—1228no—
510C22×C4—1222no—
511C22×C4—1222no—
512C22×C4—1222no—
513C22×C4—1222no—
514C22×C4—1228no—
515C22×C4—1228no—
516C22×C4—1222no—
517C22×C4—1222no—
518C22×C4—1222no—
519C22×C4—1221no—
520C22×C4—1221no—
521C22×C4—1222no—
522C22×C4—1222no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1222no—
526C22×C4—1222no—
527C22×C4—1222no—
528C22×C4—1222no—
529C22×C4—1222no—
530C22×C4—1222no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1222no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—2448no—
541C22×C4—2448no—
542C22×C4—2444no—
543C22×C4—2444no—
544C22×C4C2×Dic12214yes—
545C22×C4C2×Dic12214yes—
546C22×C4C2×C4×D6114yes—
547C22×C4C2×D24412yes—
548C22×C4C2×D24412yes—
549C22×C4D4×D6114yes—
550C22×C4C2×C22⋊D6114yes—
551C4⋊C4—12216no—
552C4⋊C4—12216no—
553C4⋊C4—12216no—
554C4⋊C4—2448no—
555C4⋊C4—2444no—
556C4⋊C4—2444no—
557C22⋊C4—28no—
558C22⋊C4—1228no—
559C22⋊C4—2444no—
560C22⋊C4#11758196116yescomplemented
561C42—48no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—22no—
567C23—24no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23C2×#1175819614yes—
579C23C4×D24414yes—
580C23C4×Dic12214yes—
581C23#1451975114yes—
582C23#1451975614yes—
583C23#1451976914yes—
584C23#1451977714yes—
585C23C22×C4×D6111yescharacteristic
586C23C2×D4×D6112yes—
587C23C22×C22⋊D6111yescharacteristic
588C23C22×D24411yescharacteristic
589C23C22×Dic12211yescharacteristic
590C23C22×Dic12211yescharacteristic
591C23#41×D6112yes—
592C23C2×#1175822211yescharacteristic
593C23C2×#1175822211yescharacteristic
594C23#1451982212yes—
595C23#1451982412yes—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—416no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—618no—
620C2×C4—12232no—
621C2×C4—1224no—
622C2×C4—1224no—
623C2×C4—1224no—
624C2×C4—1224no—
625C2×C4—1224no—
626C2×C4—1224no—
627C2×C4—1224no—
628C2×C4—1222no—
629C2×C4—1222no—
630C2×C4—1224no—
631C2×C4—1224no—
632C2×C4—1224no—
633C2×C4—1224no—
634C2×C4—2441no—
635C2×C4—2441no—
636C2×C4—2441no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2442no—
641C2×C4—2442no—
642C2×C4—2442no—
643C2×C4—2442no—
644C2×C4—24416no—
645C2×C4—2441no—
646C2×C4—2442no—
647C2×C4—2442no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2442no—
651C2×C4—2441no—
652C2×C4—2442no—
653C2×C4—2442no—
654C2×C4—2442no—
655C2×C4C2×#1175819618yescomplemented
656C2×C4#1451974714yes—
657C22—24no—
658C22—28no—
659C22—24no—
660C22—28no—
661C22—24no—
662C22—28no—
663C22—24no—
664C22—24no—
665C22—28no—
666C22—24no—
667C22#1683966018yescomplemented
668C22C22×#1175819611yescharacteristic
669C22C4×D4×D6112yes—
670C22C2×C4×D24411yescharacteristic
671C22C2×C4×Dic12211yescharacteristic
672C22#1684024112yes—
673C22C2×#1451974711yescharacteristic
674C22C2×#1451975111yescharacteristic
675C22C2×#1451975611yescharacteristic
676C22#1684027112yes—
677C22#1684027411yescharacteristic
678C22C2×#1451976911yescharacteristic
679C22C2×#1451977711yescharacteristic
680C22#1684032411yescharacteristic
681C22#1684033811yescharacteristic
682C22#1684035412yes—
683C22D4×C22⋊D6112yes—
684C22#1684040212yes—
685C22#1684041112yes—
686C22D4×Dic12212yes—
687C22D4×Dic12212yes—
688C22#1684044512yes—
689C22#1684047112yes—
690C22#1684047112yes—
691C4—28no—
692C4—24no—
693C4—44no—
694C4—42no—
695C4—1228no—
696C4—4881no—
697C4—4881no—
698C4—2442no—
699C4—2442no—
700C4—2444no—
701C2—28no—
702C2C2×#1683966011yescharacteristic
703C2C4×#1451974711yescharacteristic
704C2#2144849011yescharacteristic
705C2D4×#1175819612yes—
706C2#2144882512yes—
707C2#2144918711yescharacteristic
708C2#2144922011yescharacteristic
709C2#2144946311yescharacteristic
710C2#2144962212yes—
711C2#2144996012yes—
712C2#2145119411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC2×C4×C22⋊C4×C61C2
socle, cosocleC24×C61C24
prime radicalC25×C61C23
hypercenterC2×C4×C22⋊C4D61
hypocenterC61#14043
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#16839660C2semidirect
6. #21444083C2semidirect
7. #21444071C2semidirect
8. #21444052C2semidirect
26. #16839637C4semidirect
63. C2×C4⋊Dic61C2×C4semidirect
88. #14519684C2×C4semidirect
195. C22⋊C4×C61C4⋊C4semidirect
262. C2×C4×C61C2×C4⋊C4semidirect
311. C22×C61#389semidirect
398. C61#14043semidirect
560. C22⋊C4#11758196semidirect
655. C2×C4C2×#11758196semidirect
667. C22#16839660semidirect

Maximal subgroups

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

subgroupindex
C23×#117581962
C2×#168396602
C2×#168396372
C2×#168396352
#214440832
#214440712
#214440522
#214440412
C2×C4×C22⋊C4×C612
#1404361