Finite Group Databasebeta

← #29602403

Subgroups — #29602403

Order 15616.

2166 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×C4⋊C4×D61C211yesmaximal, characteristic
2C2×#16839619C211yesmaximal, characteristic
3C2×#16839609C211yesmaximal, characteristic
4#21444073C211yesmaximal, characteristic, complemented
5#21444072C211yesmaximal, characteristic, complemented
6#21444069C211yesmaximal, characteristic, complemented
7#21444053C212yesmaximal, complemented
8#21444050C212yesmaximal, complemented
9#21444040C212yesmaximal
10#21444040C212yesmaximal
11C61×#1441C211yesmaximal, characteristic, complemented
12C23×C4×D61C2211yescharacteristic
13C23×C4×D61C2211yescharacteristic
14C23×C4×D61C2211yescharacteristic
15C22×C4⋊Dic61C2211yescharacteristic
16C22×C4⋊Dic61C2211yescharacteristic
17C22×#11758196C2211yescharacteristic
18C22×#11758196C2211yescharacteristic
19C2×C4⋊C4×D61—24no—
20C2×C4⋊C4×D61—24no—
21C2×C4⋊C4×D61C418yescomplemented
22C22×#11758198C2212yes—
23C22×#11758198C2212yes—
24C22×C4×Dic61C2212yes—
25#16839619—24no—
26#16839609—24no—
27C2×#14519684C2212yes—
28C2×#14519684C2212yes—
29C2×#14519684C2212yes—
30C2×#14519684C2212yes—
31C2×#14519684C2211yescharacteristic
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C2×#14519684C2212yes—
35C22×C4⋊C4×C61C2211yescharacteristic
36C22×C4⋊C4×C61C2211yescharacteristic
37C2×#95×C61C2212yes—
38C2×#95×C61C2211yescharacteristic
39C2×#95×C61C2212yes—
40C24×D61C2311yescharacteristic
41C23×Dic61C2312yes—
42C23×Dic61C2311yescharacteristic
43C23×Dic61C2312yes—
44C23×Dic61C2311yescharacteristic
45C23×Dic61C2311yescharacteristic
46C22×C4×D61—22no—
47C22×C4×D61—22no—
48C22×C4×D61—22no—
49C22×C4×D61—22no—
50C22×C4×D61—22no—
51C22×C4×D61—22no—
52C22×C4×D61—22no—
53C22×C4×D61—22no—
54C22×C4×D61—42no—
55C22×C4×D61—42no—
56C22×C4×D61—42no—
57C22×C4×D61—42no—
58C22×C4×D61C2×C414yes—
59C22×C4×D61C2×C414yes—
60C22×C4×D61C2×C414yes—
61C22×C4×D61D414yes—
62C22×C4×D61D414yes—
63C2×C4⋊Dic61—22no—
64C2×C4⋊Dic61—22no—
65C2×C4⋊Dic61—22no—
66C2×C4⋊Dic61—42no—
67C2×C4⋊Dic61C2×C414yes—
68C2×#11758196—22no—
69C2×#11758196—22no—
70C2×#11758196—22no—
71C2×#11758196—22no—
72C2×#11758196C2×C414yes—
73C2×#11758196C2×C414yes—
74C4⋊C4×D61—232no—
75C2×#11758198—24no—
76C2×#11758198—24no—
77C2×#11758198—24no—
78C2×#11758198—24no—
79C2×#11758198—24no—
80C2×#11758198Q818yes—
81C2×C4×Dic61—24no—
82C2×C4×Dic61—42no—
83C2×C4×Dic61—42no—
84#14519684—22no—
85#14519684—24no—
86#14519684—24no—
87#14519684—24no—
88#14519684—24no—
89#14519684—42no—
90#14519684—42no—
91#14519684—42no—
92C23×C4×C61C2312yes—
93C23×C4×C61C2311yescharacteristic
94C23×C4×C61C2312yes—
95C23×C4×C61C2311yescharacteristic
96C23×C4×C61C2311yescharacteristic
97C2×C4⋊C4×C61—22no—
98C2×C4⋊C4×C61—22no—
99C2×C4⋊C4×C61—22no—
100C2×C4⋊C4×C61—42no—
101C2×C4⋊C4×C61C2×C414yes—
102#95×C61—22no—
103#95×C61—24no—
104#95×C61—42no—
105C24×C61C2411yescharacteristic
106C23×D61—21no—
107C23×D61—21no—
108C23×D61—21no—
109C23×D61—21no—
110C23×D61—22no—
111C23×D61—22no—
112C23×D61C22×C412yes—
113C23×D61C2×D412yes—
114C23×D61C2×D412yes—
115C23×D61C2×Q814yes—
116C23×D61#4114yes—
117C22×C4×C61—21no—
118C22×C4×C61—21no—
119C22×C4×C61—21no—
120C22×C4×C61—21no—
121C22×C4×C61—22no—
122C22×C4×C61—22no—
123C22×C4×C61—21no—
124C22×C4×C61—21no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61—22no—
135C22×C4×C61—22no—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61C22×C412yes—
141C22×C4×C61C22×C412yes—
142C22×C4×C61C22×C412yes—
143C22×C4×C61C2×D412yes—
144C22×C4×C61C2×D412yes—
145C22×C4×C61C2×Q814yes—
146C22×C4×C61#4112yes—
147C22×C4×C61#4112yes—
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61—21no—
151C22×Dic61—21no—
152C22×Dic61—22no—
153C22×Dic61—22no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61—22no—
157C22×Dic61—22no—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—22no—
171C22×Dic61C22×C412yes—
172C22×Dic61C22×C412yes—
173C22×Dic61C22×C412yes—
174C22×Dic61C2×D412yes—
175C22×Dic61C2×D412yes—
176C22×Dic61C2×Q814yes—
177C22×Dic61#4112yes—
178C22×Dic61#4112yes—
179C2×C4×D61—28no—
180C2×C4×D61—28no—
181C2×C4×D61—28no—
182C2×C4×D61—28no—
183C2×C4×D61—28no—
184C2×C4×D61—28no—
185C2×C4×D61—28no—
186C2×C4×D61—28no—
187C2×C4×D61—48no—
188C2×C4×D61—48no—
189C2×C4×D61—48no—
190C2×C4×D61—44no—
191C2×C4×D61—44no—
192C2×C4×D61—48no—
193C2×C4×D61—44no—
194C2×C4×D61—44no—
195C2×C4×D61C22⋊C4116yes—
196C4⋊C4×C61—28no—
197C4⋊C4×C61—44no—
198#11758198—216no—
199#11758198—48no—
200C4⋊Dic61—28no—
201C4⋊Dic61—44no—
202#11758196—28no—
203#11758196—28no—
204C4×Dic61—48no—
205C23×C61C23×C411yescharacteristic
206C23×C61C22×D411yescharacteristic
207C23×C61C22×D411yescharacteristic
208C23×C61C22×Q812yes—
209C23×C61C2×#4111yescharacteristic
210C23×C61C2×#4111yescharacteristic
211C23×C61C2×#4111yescharacteristic
212C23×C61C2×#4111yescharacteristic
213C23×C61C2×#4112yes—
214C23×C61H(5,𝔽2)12yes—
215C23×C61H(5,𝔽2)12yes—
216C22×D61—22no—
217C22×D61—22no—
218C22×D61—24no—
219C22×D61—22no—
220C22×D61—22no—
221C22×D61—22no—
222C22×D61—22no—
223C22×D61—24no—
224C22×D61—22no—
225C22×D61—22no—
226C22×D61—24no—
227C22×D61—24no—
228C22×D61—24no—
229C22×D61—24no—
230C22×D61—24no—
231C22×D61—24no—
232C22×D61—24no—
233C22×D61—24no—
234C22×D61C2×C22⋊C414yes—
235C22×D61C4×Q818yes—
236C22×D61C22⋊Q818yes—
237C22×D61#12414yes—
238C22×D61C4⋊Q814yes—
239C2×C4×C61—22no—
240C2×C4×C61—22no—
241C2×C4×C61—24no—
242C2×C4×C61—22no—
243C2×C4×C61—22no—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
247C2×C4×C61—22no—
248C2×C4×C61—24no—
249C2×C4×C61—22no—
250C2×C4×C61—24no—
251C2×C4×C61—24no—
252C2×C4×C61—24no—
253C2×C4×C61—24no—
254C2×C4×C61—42no—
255C2×C4×C61—42no—
256C2×C4×C61—42no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—42no—
260C2×C4×C61—42no—
261C2×C4×C61—42no—
262C2×C4×C61—42no—
263C2×C4×C61—42no—
264C2×C4×C61—42no—
265C2×C4×C61—42no—
266C2×C4×C61—42no—
267C2×C4×C61—42no—
268C2×C4×C61C2×C22⋊C414yes—
269C2×C4×C61#11714yes—
270C2×Dic61—22no—
271C2×Dic61—22no—
272C2×Dic61—24no—
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—22no—
276C2×Dic61—22no—
277C2×Dic61—24no—
278C2×Dic61—22no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—24no—
282C2×Dic61—24no—
283C2×Dic61—24no—
284C2×Dic61—24no—
285C2×Dic61—42no—
286C2×Dic61—42no—
287C2×Dic61—42no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—42no—
291C2×Dic61—42no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294C2×Dic61—42no—
295C2×Dic61—42no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299C2×Dic61C2×C22⋊C414yes—
300C2×Dic61#11714yes—
301C4×D61—232no—
302C4×D61—416no—
303C4×D61—416no—
304#13923—611nomaximal, Sylow
305C22×C61C22×C22⋊C411yescharacteristic
306C22×C61C2×#11711yescharacteristic
307C22×C61C2×#11711yescharacteristic
308C22×C61C2×C4×Q812yes—
309C22×C61#51812yes—
310C22×C61C2×C22⋊Q812yes—
311C22×C61#52511yescharacteristic
312C22×C61#52511yescharacteristic
313C22×C61#52511yescharacteristic
314C22×C61#52511yescharacteristic
315C22×C61C2×#12411yescharacteristic
316C22×C61C2×C4⋊Q811yescharacteristic
317C22×C61#53412yes—
318C22×C61#53411yescharacteristic
319C22×C61#53411yescharacteristic
320C22×C61#55312yes—
321C22×C61#55312yes—
322C22×C61#55312yes—
323C22×C61#55312yes—
324C22×C61#55412yes—
325C22×C61#55412yes—
326C22×C61#55412yes—
327C22×C61#55412yes—
328C2×D61—24no—
329C2×D61—28no—
330C2×D61—28no—
331C2×D61—24no—
332C2×D61—24no—
333C2×D61—24no—
334C2×D61—24no—
335C2×D61—28no—
336C2×D61—28no—
337C2×D61—24no—
338C2×D61#39118yes—
339C4×C61—24no—
340C4×C61—24no—
341C4×C61—42no—
342C4×C61—44no—
343C4×C61—82no—
344Dic61—24no—
345Dic61—24no—
346Dic61—42no—
347Dic61—44no—
348Dic61—82no—
349C23×C4⋊C4—611no—
350C2×#380—611no—
351C2×C4×C22⋊C4—611no—
352#1441—611no—
353#1441—611no—
354#1441—611no—
355#1441D6111yescharacteristic, complemented
356#1436—612no—
357#1436—612no—
358C22⋊#95—612no—
359C22⋊#95—612no—
360C2×C61#228011yescharacteristic
361C2×C61C2×#39111yescharacteristic
362C2×C61#230811yescharacteristic
363C2×C61#234512yes—
364C2×C61#234512yes—
365C2×C61#257912yes—
366C2×C61#257912yes—
367C2×C61#258311yescharacteristic
368C2×C61#258311yescharacteristic
369C2×C61#259111yescharacteristic
370C2×C61#259111yescharacteristic
371D61—28no—
372C24×C4—611no—
373C24×C4—611no—
374C24×C4—611no—
375C22×C4⋊C4—611no—
376C22×C4⋊C4—611no—
377C22×C4⋊C4—611no—
378C22×C4⋊C4—618no—
379C22×C4⋊C4—611no—
380C22×C4⋊C4—1224no—
381C22×C4⋊C4—1224no—
382C22×C4⋊C4C2×D6111yescharacteristic
383C22×C4⋊C4C2×D6111yescharacteristic
384C22×C22⋊C4—612no—
385C22×C22⋊C4—612no—
386C22×C42—612no—
387#380—1224no—
388C4×C22⋊C4—1224no—
389C2×#95—612no—
390C2×#95—612no—
391C2×#95—612no—
392C2×#95—612no—
393C2×#95—611no—
394C2×#95—612no—
395C2×#95—612no—
396C2×#95—612no—
397C2×#95C2×D6112yes—
398C2×#95C2×D6111yescharacteristic
399C2×#95C2×D6112yes—
400C61#1392311yescharacteristic, complemented, Sylow
401C25—611no—
402C23×C4—611no—
403C23×C4—611no—
404C23×C4—614no—
405C23×C4—614no—
406C23×C4—614no—
407C23×C4—612no—
408C23×C4—611no—
409C23×C4—614no—
410C23×C4—614no—
411C23×C4—612no—
412C23×C4—1222no—
413C23×C4—1222no—
414C23×C4—1222no—
415C23×C4—1222no—
416C23×C4—1222no—
417C23×C4—1222no—
418C23×C4—1222no—
419C23×C4—1222no—
420C23×C4—2442no—
421C23×C4—2442no—
422C23×C4—2442no—
423C23×C4—2442no—
424C23×C4C22×D6112yes—
425C23×C4C22×D6111yescharacteristic
426C23×C4C22×D6112yes—
427C23×C4C22×D6111yescharacteristic
428C23×C4C22×D6111yescharacteristic
429C2×C4⋊C4—22no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—22no—
432C2×C4⋊C4—42no—
433C2×C4⋊C4—614no—
434C2×C4⋊C4—614no—
435C2×C4⋊C4—614no—
436C2×C4⋊C4—12232no—
437C2×C4⋊C4—1222no—
438C2×C4⋊C4—1222no—
439C2×C4⋊C4—1222no—
440C2×C4⋊C4—1222no—
441C2×C4⋊C4—1222no—
442C2×C4⋊C4—1222no—
443C2×C4⋊C4—1222no—
444C2×C4⋊C4—2442no—
445C2×C4⋊C4C4×D6114yes—
446C2×C22⋊C4—618no—
447C2×C22⋊C4—1224no—
448C2×C22⋊C4—1224no—
449C2×C22⋊C4—1224no—
450C2×C22⋊C4—1224no—
451C2×C22⋊C4—1224no—
452C2×C42—1224no—
453C2×C42—2442no—
454C2×C42—2442no—
455#95—22no—
456#95—24no—
457#95—42no—
458#95—1224no—
459#95—1224no—
460#95—1224no—
461#95—1222no—
462#95—1224no—
463#95—2442no—
464#95—2442no—
465#95—2442no—
466C24—612no—
467C24—612no—
468C24—612no—
469C24—614no—
470C24—614no—
471C24—1221no—
472C24—1221no—
473C24—1221no—
474C24—1221no—
475C24—1222no—
476C24—1222no—
477C24C23×D6111yescharacteristic
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—612no—
502C22×C4—612no—
503C22×C4—612no—
504C22×C4—612no—
505C22×C4—612no—
506C22×C4—612no—
507C22×C4—6116no—
508C22×C4—612no—
509C22×C4—614no—
510C22×C4—1228no—
511C22×C4—1228no—
512C22×C4—1228no—
513C22×C4—1228no—
514C22×C4—1228no—
515C22×C4—1228no—
516C22×C4—1228no—
517C22×C4—1221no—
518C22×C4—1221no—
519C22×C4—1221no—
520C22×C4—1221no—
521C22×C4—1222no—
522C22×C4—1222no—
523C22×C4—1228no—
524C22×C4—1222no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1222no—
528C22×C4—1222no—
529C22×C4—1222no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4—1222no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1222no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—2448no—
542C22×C4—2448no—
543C22×C4—2444no—
544C22×C4—2444no—
545C22×C4—2448no—
546C22×C4—2448no—
547C22×C4—2444no—
548C22×C4—2444no—
549C22×C4C2×C4×D6112yes—
550C22×C4C2×C4×D6112yes—
551C22×C4C2×C4×D6112yes—
552C22×C4D4×D6112yes—
553C22×C4D4×D6112yes—
554C22×C4#1175822412yes—
555C22×C4Q8×D6114yes—
556C22×C4#1175822612yes—
557C4⋊C4—28no—
558C4⋊C4—44no—
559C4⋊C4—1228no—
560C4⋊C4—1228no—
561C4⋊C4—1228no—
562C4⋊C4—2444no—
563C22⋊C4—12216no—
564C22⋊C4—2448no—
565C42—2448no—
566C23—614no—
567C23—618no—
568C23—618no—
569C23—614no—
570C23—614no—
571C23—1224no—
572C23—1224no—
573C23—1224no—
574C23—1224no—
575C23—1224no—
576C23—1224no—
577C23—1222no—
578C23—1224no—
579C23—1222no—
580C23—1224no—
581C23—1224no—
582C23—1222no—
583C23—1222no—
584C23—1222no—
585C23—1222no—
586C23—1224no—
587C23—1222no—
588C23—1222no—
589C23C22×C4×D6111yescharacteristic
590C23C2×D4×D6111yescharacteristic
591C23C2×D4×D6111yescharacteristic
592C23C2×Q8×D6112yes—
593C23#41×D6111yescharacteristic
594C23#41×D6112yes—
595C23#41×D6111yescharacteristic
596C23C2×#1175822411yescharacteristic
597C23C2×#1175822611yescharacteristic
598C23#1451982212yes—
599C23#1451982312yes—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—614no—
630C2×C4—614no—
631C2×C4—12232no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1224no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1224no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—1222no—
643C2×C4—1224no—
644C2×C4—1224no—
645C2×C4—1224no—
646C2×C4—1224no—
647C2×C4—24416no—
648C2×C4—24416no—
649C2×C4—2442no—
650C2×C4—2442no—
651C2×C4—2442no—
652C2×C4—2442no—
653C2×C4—2442no—
654C2×C4—2442no—
655C2×C4—2442no—
656C2×C4—2442no—
657C2×C4—2442no—
658C2×C4—2442no—
659C2×C4—2442no—
660C2×C4—2442no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4C22⋊C4×D6114yes—
664C2×C4#1451973514yes—
665C22—618no—
666C22—1224no—
667C22—1224no—
668C22—1224no—
669C22—1228no—
670C22—1228no—
671C22—1224no—
672C22—1224no—
673C22—1224no—
674C22—1228no—
675C22—1228no—
676C22C2×C22⋊C4×D6111yescharacteristic
677C22#117×D6111yescharacteristic
678C22C2×#1451973511yescharacteristic
679C22C4×Q8×D6112yes—
680C22#1684023412yes—
681C22C22⋊Q8×D6112yes—
682C22#1684027211yescharacteristic
683C22#1684027211yescharacteristic
684C22#1684027511yescharacteristic
685C22#1684027511yescharacteristic
686C22#124×D6111yescharacteristic
687C22C4⋊Q8×D6111yescharacteristic
688C22#1684032012yes—
689C22#1684032211yescharacteristic
690C22#1684032311yescharacteristic
691C22#1684045712yes—
692C22#1684045912yes—
693C22#1684046312yes—
694C22#1684046512yes—
695C22#1684046612yes—
696C22#1684046812yes—
697C22#1684047012yes—
698C22#1684047312yes—
699C4—24no—
700C4—24no—
701C4—44no—
702C4—42no—
703C4—82no—
704C4—1224no—
705C4—1224no—
706C4—4882no—
707C4—2444no—
708C4—2442no—
709C2—1228no—
710C2#2144820111yescharacteristic
711C2#391×D6111yescharacteristic
712C2#2144839311yescharacteristic
713C2#2144869312yes—
714C2#2144869512yes—
715C2#2145116112yes—
716C2#2145116712yes—
717C2#2145119311yescharacteristic
718C2#2145119511yescharacteristic
719C2#2145129311yescharacteristic
720C2#2145129511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×#1441C2
socle, cosocleC24×C61C24
prime radicalC24×D61C23
hypercenter#1441D61
hypocenterC61#13923
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
4. #21444073C2semidirect
5. #21444072C2semidirect
6. #21444069C2semidirect
7. #21444053C2semidirect
8. #21444050C2semidirect
11. C61×#1441C2semidirect
21. C2×C4⋊C4×D61C4semidirect
355. #1441D61semidirect
400. C61#13923semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D612
C2×#168396192
C2×#168396092
#214440732
#214440722
#214440692
#214440532
#214440502
#214440402
C61×#14412
#1392361