Finite Group Databasebeta

← #29698348

Subgroups — #29698348

Order 15616.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839874C211yesmaximal, characteristic
2C2×D8×Dic61C211yesmaximal, characteristic
3#21448729C211yesmaximal, characteristic, complemented
4D4×C4⋊Dic61C211yesmaximal, characteristic, complemented
5#21446563C211yesmaximal, characteristic, complemented
6#21446548C211yesmaximal, characteristic, complemented
7#21446082C211yesmaximal, characteristic, complemented
8#21446082C211yesmaximal, characteristic, complemented
9#21446068C211yesmaximal, characteristic, complemented
10#21446068C211yesmaximal, characteristic, complemented
11#21445987C211yesmaximal, characteristic, complemented
12#21445829C211yesmaximal, characteristic, complemented
13#21445819C211yesmaximal, characteristic, complemented
14#21445691C211yesmaximal, characteristic, complemented
15C2×C61×#442C211yesmaximal, characteristic
16C2×D4×Dic61C2211yescharacteristic
17C2×D4×Dic61C2211yescharacteristic
18C2×D4×Dic61C2211yescharacteristic
19C2×D4×Dic61C2211yescharacteristic
20C22×C4⋊Dic61—21no—
21#16839874—24no—
22D8×Dic61—24no—
23C2×#14519711C2211yescharacteristic
24C2×#14519711C2211yescharacteristic
25C2×#14519709C2211yescharacteristic
26C2×#14519709C2211yescharacteristic
27C2×C4⋊#92418C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×#14519687C2211yescharacteristic
33C2×C8×Dic61C2211yescharacteristic
34#16839661C2211yescharacteristic
35#16839661C2211yescharacteristic
36#16839661C2211yescharacteristic
37#16839661C2211yescharacteristic
38#16839637—21no—
39#16839637—21no—
40#16839637—21no—
41#16839637—21no—
42#16839632C2211yescharacteristic
43#16839628C2211yescharacteristic
44#16839622—21no—
45#16839622—21no—
46C4×C4⋊Dic61C2211yescharacteristic
47C2×#14519684—21no—
48#16839524C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C22×D8×C61C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C2×C4×D4×C61C2211yescharacteristic
57C61×#442C418yescomplemented
58C2×#106×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C2×#102×C61C2211yescharacteristic
61C2×#97×C61C2211yescharacteristic
62C23×Dic61—21no—
63C23×Dic61—21no—
64C23×Dic61—21no—
65C23×Dic61—21no—
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68D4×Dic61—22no—
69D4×Dic61—22no—
70D4×Dic61—22no—
71D4×Dic61—22no—
72D4×Dic61—41no—
73D4×Dic61—41no—
74D4×Dic61—41no—
75D4×Dic61—41no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61—21no—
78C2×C4⋊Dic61—21no—
79C2×C4⋊Dic61—21no—
80C2×C4⋊Dic61—21no—
81C2×C4⋊Dic61—21no—
82C2×C4⋊Dic61—44no—
83C2×C4⋊Dic61D411yescharacteristic
84C2×C4⋊Dic61D411yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C22⋊Dic61—21no—
90C2×C22⋊Dic61—21no—
91C2×C22⋊Dic61—21no—
92C2×C22⋊Dic61—21no—
93C2×C4×Dic61C2311yescharacteristic
94C2×C4×Dic61C2311yescharacteristic
95#14519711—22no—
96#14519711—41no—
97#14519709—22no—
98#14519709—41no—
99C4⋊#92418—22no—
100#14519698—22no—
101#14519698—22no—
102#14519698—22no—
103#14519698—22no—
104#14519687—22no—
105C8×Dic61—22no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684D411yescharacteristic
113#14519684D411yescharacteristic
114C22×D4×C61C2311yescharacteristic
115C22×D4×C61C2311yescharacteristic
116C23×C4×C61—21no—
117C23×C4×C61—21no—
118C2×D8×C61C2×C414yes—
119C2×D8×C61D414yes—
120C2×D8×C61Q814yes—
121C22×C8×C61C2311yescharacteristic
122C22×C8×C61C2311yescharacteristic
123C4×D4×C61—22no—
124C4×D4×C61—22no—
125C4×D4×C61C2×C414yescomplemented
126C4×D4×C61C2×C414yescomplemented
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C22⋊C4×C61—21no—
130C2×C22⋊C4×C61—21no—
131C2×C42×C61C2311yescharacteristic
132#106×C61C2×C414yescomplemented
133#102×C61C2×C414yescomplemented
134#102×C61C2×C414yescomplemented
135#97×C61C2×C414yescomplemented
136C24×C61—21no—
137C24×C61—21no—
138C2×D4×C61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61C22×C412yes—
145C2×D4×C61C22×C412yes—
146C2×D4×C61C2×D412yes—
147C2×D4×C61C2×D412yes—
148C2×D4×C61C2×Q812yes—
149C2×D4×C61C2×Q812yes—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—24no—
153C22×C4×C61—24no—
154C22×C4×C61—42no—
155C22×C4×C61—42no—
156C22×C4×C61—81no—
157C22×C4×C61—81no—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2411yescharacteristic
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—42no—
166C22×Dic61—42no—
167C22×Dic61—42no—
168C22×Dic61—42no—
169C22×Dic61—42no—
170C22×Dic61—42no—
171C22×Dic61—42no—
172C22×Dic61—42no—
173C22×Dic61—81no—
174C22×Dic61—81no—
175C22×Dic61—81no—
176C22×Dic61—81no—
177C22×Dic61C2×D411yescharacteristic
178C22×Dic61C2×D411yescharacteristic
179C22×Dic61C2×D411yescharacteristic
180C22×Dic61C2×D411yescharacteristic
181D8×C61C4⋊C4116yescomplemented
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61C22×C412yes—
185C2×C8×C61C22×C412yes—
186C2×C8×C61C2×D412yes—
187C2×C8×C61C2×Q812yes—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61C22×C412yes—
191C4⋊C4×C61C22×C412yes—
192C22⋊C4×C61—24no—
193C22⋊C4×C61—24no—
194C42×C61C22×C412yes—
195C42×C61#4112yes—
196C22⋊Dic61—42no—
197C22⋊Dic61—42no—
198C22⋊Dic61—42no—
199C22⋊Dic61—42no—
200C4⋊Dic61—22no—
201C4⋊Dic61—21no—
202C4⋊Dic61—21no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—41no—
210C4⋊Dic61—42no—
211C4⋊Dic61—42no—
212C4⋊Dic61—42no—
213C4⋊Dic61—81no—
214C4⋊Dic61—81no—
215C4⋊Dic61—81no—
216C4×Dic61—21no—
217C4×Dic61—21no—
218C4×Dic61—21no—
219C4×Dic61—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C23×C61—22no—
227C23×C61—22no—
228C23×C61—22no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61C22×D411yescharacteristic
241D4×C61—22no—
242D4×C61—22no—
243D4×C61—22no—
244D4×C61—22no—
245D4×C61—22no—
246D4×C61—22no—
247D4×C61C2×C4⋊C414yes—
248D4×C61C2×C4⋊C414yescomplemented
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—48no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—84no—
261C2×C4×C61C4×D412yes—
262C2×C4×C61C4×D412yes—
263C2×C4×C61C23×C411yescharacteristic
264C2×C4×C61C22×D411yescharacteristic
265C2×C4×C61C22×Q811yescharacteristic
266C2×C4×C61C2×#4111yescharacteristic
267C2×C4×C61H(5,𝔽2)11yescharacteristic
268C2×C4×C612−1+411yescharacteristic
269C2×Dic61—21no—
270C2×Dic61—21no—
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—84no—
293C2×Dic61—84no—
294C2×Dic61—84no—
295C2×Dic61—84no—
296C2×Dic61AGL(1,ℤ/8)12yes—
297C8×C61—22no—
298C8×C61C2×C4⋊C414yescomplemented
299#92418—41no—
300#92418—41no—
301#22676—611nomaximal, Sylow
302C22×C61—24no—
303C22×C61—24no—
304C22×C61—42no—
305C22×C61—42no—
306C22×C61—42no—
307C22×C61—42no—
308C22×C61—42no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—42no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61C2×C4×D411yescharacteristic
317C22×C61D4211yescharacteristic
318C22×C61D4×Q811yescharacteristic
319C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
320C22×C61#57511yescharacteristic
321C22×C61#57611yescharacteristic
322C22×C61#57711yescharacteristic
323C4×C61—22no—
324C4×C61—22no—
325C4×C61—42no—
326C4×C61—42no—
327C4×C61C22×C4⋊C411yescharacteristic
328C4×C61#52011yescharacteristic
329C4×C61#54711yescharacteristic
330C4×C61#55411yescharacteristic
331Dic61—22no—
332Dic61—41no—
333Dic61—41no—
334Dic61—41no—
335Dic61—81no—
336Dic61—81no—
337Dic61—81no—
338Dic61—81no—
339C2×#442—611no—
340C2×#442D6111yescharacteristic
341C2×C4×D8—611no—
342#2349—611no—
343D4×C4⋊C4—611no—
344#1944—611no—
345#1941—611no—
346#1864—611no—
347#1864—611no—
348#1862—611no—
349#1862—611no—
350#1847—611no—
351#1804—611no—
352#1802—611no—
353#1771—611no—
354C2×C61—44no—
355C2×C61—44no—
356C2×C61D4×C4⋊C411yescharacteristic
357C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
358C2×C61#294611yescharacteristic
359C2×C61#326411yescharacteristic
360C2×C61#326711yescharacteristic
361C2×C61#338411yescharacteristic
362C2×C61#338911yescharacteristic
363C22×D8C2×D6111yescharacteristic
364C2×C4×D4—611no—
365C2×C4×D4—611no—
366C2×C4×D4—611no—
367C2×C4×D4—611no—
368C2×C4×D4C2×D6111yescharacteristic
369C2×C4×D4C2×D6111yescharacteristic
370C22×C4⋊C4—1221no—
371#442—1224no—
372#442Dic6118yescomplemented
373C4×D8—1224no—
374C2×#107—611no—
375C2×#107—611no—
376C2×#106—611no—
377C2×#106—611no—
378C2×#106C2×D6111yescharacteristic
379C2×C4⋊C8—611no—
380C2×#102—611no—
381C2×#102—611no—
382C2×#102—611no—
383C2×#102—611no—
384C2×#102C2×D6111yescharacteristic
385C2×#102C2×D6111yescharacteristic
386C2×#97—611no—
387C2×#97C2×D6111yescharacteristic
388C2×C4×C8—611no—
389#389—611no—
390#389—611no—
391#389—611no—
392#389—611no—
393#385—1221no—
394#385—1221no—
395#385—1221no—
396#385—1221no—
397#384—611no—
398#382—611no—
399#380—1221no—
400#380—1221no—
401C4×C4⋊C4—611no—
402C2×#95—1221no—
403#340—611no—
404#340—611no—
405#340—611no—
406#340—611no—
407#336—611no—
408#336—611no—
409C61#2267611yescharacteristic, complemented, Sylow
410C22×D4C22×D6111yescharacteristic
411C22×D4C22×D6111yescharacteristic
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—1221no—
415C23×C4—1221no—
416C23×C4—1221no—
417C23×C4—1221no—
418C2×D8Dic12214yes—
419C2×D8D24414yes—
420C2×D8C2×Dic6114yes—
421C22×C8—611no—
422C22×C8—611no—
423C22×C8C22×D6111yescharacteristic
424C22×C8C22×D6111yescharacteristic
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—1222no—
428C4×D4—1222no—
429C4×D4—1222no—
430C4×D4—1222no—
431C4×D4—2441no—
432C4×D4—2441no—
433C4×D4—2441no—
434C4×D4—2441no—
435C4×D4C2×Dic6114yescomplemented
436C4×D4C2×Dic6114yescomplemented
437C2×C4⋊C4—611no—
438C2×C4⋊C4—611no—
439C2×C4⋊C4—611no—
440C2×C4⋊C4—611no—
441C2×C4⋊C4—611no—
442C2×C4⋊C4—611no—
443C2×C4⋊C4—1221no—
444C2×C4⋊C4—1221no—
445C2×C4⋊C4—1221no—
446C2×C4⋊C4—1221no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4—2444no—
450C2×C4⋊C4C22×D6111yescharacteristic
451C2×C4⋊C4C22×D6111yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C42—611no—
459C2×C42—611no—
460C2×C42C22×D6111yescharacteristic
461#107—1222no—
462#107—2441no—
463#106—1222no—
464#106—2441no—
465#106C2×Dic6114yescomplemented
466C4⋊C8—1222no—
467#102—1222no—
468#102—1222no—
469#102—1222no—
470#102—1222no—
471#102C2×Dic6114yescomplemented
472#102C2×Dic6114yescomplemented
473#97—1222no—
474#97C2×Dic6114yescomplemented
475C4×C8—1222no—
476#95—611no—
477#95—611no—
478#95—1221no—
479#95—1221no—
480#95—1221no—
481#95—1221no—
482#95—1221no—
483#95—1221no—
484C24—21no—
485C24—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4C2×Dic12212yes—
493C2×D4C2×Dic12212yes—
494C2×D4C2×D24412yes—
495C2×D4C2×D24412yes—
496C2×D4C22×Dic6112yes—
497C2×D4C22×Dic6112yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—81no—
505C22×C4—81no—
506C22×C4—611no—
507C22×C4—611no—
508C22×C4—611no—
509C22×C4—611no—
510C22×C4—1221no—
511C22×C4—1221no—
512C22×C4—1221no—
513C22×C4—1221no—
514C22×C4—4881no—
515C22×C4—4881no—
516C22×C4—4881no—
517C22×C4—4881no—
518C22×C4—2442no—
519C22×C4—2442no—
520C22×C4—2442no—
521C22×C4—2442no—
522C22×C4—2442no—
523C22×C4—2442no—
524C22×C4—2442no—
525C22×C4—2442no—
526C22×C4D4×D6111yescharacteristic
527C22×C4D4×D6111yescharacteristic
528C22×C4C23×D6111yescharacteristic
529D8C4⋊Dic61116yescomplemented
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—1221no—
533C2×C8—1221no—
534C2×C8—1221no—
535C2×C8—1221no—
536C2×C8—1221no—
537C2×C8—1221no—
538C2×C8C2×Dic12212yes—
539C2×C8C2×D24412yes—
540C2×C8C22×Dic6112yes—
541C2×C8C22×Dic6112yes—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—1222no—
545C4⋊C4—1221no—
546C4⋊C4—1221no—
547C4⋊C4—1221no—
548C4⋊C4—1221no—
549C4⋊C4—1221no—
550C4⋊C4—1221no—
551C4⋊C4—1221no—
552C4⋊C4—1221no—
553C4⋊C4—4881no—
554C4⋊C4—4881no—
555C4⋊C4—4881no—
556C4⋊C4—2441no—
557C4⋊C4—2442no—
558C4⋊C4—2442no—
559C4⋊C4—2442no—
560C4⋊C4C22×Dic6112yes—
561C4⋊C4C22×Dic6112yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—2442no—
565C22⋊C4—2442no—
566C22⋊C4—2442no—
567C22⋊C4—2442no—
568C42—1221no—
569C42—1221no—
570C42—1221no—
571C42—1221no—
572C42#1175822412yes—
573C42C22×Dic6112yes—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23C2×D4×D6111yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—22no—
593D4—22no—
594D4—22no—
595D4C2×C4⋊Dic6114yes—
596D4C2×C4⋊Dic6114yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—48no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—84no—
609C2×C4—612no—
610C2×C4—1221no—
611C2×C4—1221no—
612C2×C4—1221no—
613C2×C4—1221no—
614C2×C4—1221no—
615C2×C4—1221no—
616C2×C4—1221no—
617C2×C4—1221no—
618C2×C4—1221no—
619C2×C4—1221no—
620C2×C4—1221no—
621C2×C4—4884no—
622C2×C4—4884no—
623C2×C4—4884no—
624C2×C4—4884no—
625C2×C4—2441no—
626C2×C4—2441no—
627C2×C4—2441no—
628C2×C4—2441no—
629C2×C4—2441no—
630C2×C4—2441no—
631C2×C4—2441no—
632C2×C4—2441no—
633C2×C4—2441no—
634C2×C4—2441no—
635C2×C4—2441no—
636C2×C4—2441no—
637C2×C4D4×Dic6112yes—
638C2×C4D4×Dic6112yes—
639C2×C4C23×Dic6111yescharacteristic
640C2×C4C22×D24411yescharacteristic
641C2×C4C22×Dic12211yescharacteristic
642C2×C4C2×#1175822411yescharacteristic
643C2×C4#1451982311yescharacteristic
644C2×C4#1451982411yescharacteristic
645C8—22no—
646C8—2441no—
647C8—2441no—
648C8C2×C4⋊Dic6114yescomplemented
649C22—24no—
650C22—24no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22C2×D4×Dic6111yescharacteristic
664C22D4×D24411yescharacteristic
665C22D4×Dic12211yescharacteristic
666C22AGL(1,ℤ/8)×D6111yescharacteristic
667C22#1684055811yescharacteristic
668C22#1684056611yescharacteristic
669C22#1684057211yescharacteristic
670C4—22no—
671C4—22no—
672C4—42no—
673C4—42no—
674C4—1222no—
675C4—4881no—
676C4—4881no—
677C4—4881no—
678C4—4881no—
679C4—2441no—
680C4—2441no—
681C4—2441no—
682C4C22×C4⋊Dic6111yescharacteristic
683C4#1684024511yescharacteristic
684C4#1684041611yescharacteristic
685C4#1684046911yescharacteristic
686C2—44no—
687C2—44no—
688C2D4×C4⋊Dic6111yescharacteristic
689C2AGL(1,ℤ/8)×Dic6111yescharacteristic
690C2#2145465211yescharacteristic
691C2#2145730111yescharacteristic
692C2#2145734611yescharacteristic
693C2#2145871911yescharacteristic
694C2#2145877811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#442C2
socleC23×C61C22×D4
prime radicalC22×D8×C61C22
cosocleC22×C4×C61C24
hypercenterC2×#442D61
hypocenterC61#22676
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
3. #21448729C2semidirect
4. D4×C4⋊Dic61C2semidirect
5. #21446563C2semidirect
6. #21446548C2semidirect
7. #21446082C2semidirect
8. #21446082C2semidirect
9. #21446068C2semidirect
10. #21446068C2semidirect
11. #21445987C2semidirect
12. #21445829C2semidirect
13. #21445819C2semidirect
14. #21445691C2semidirect
57. C61×#442C4semidirect
125. C4×D4×C61C2×C4semidirect
126. C4×D4×C61C2×C4semidirect
132. #106×C61C2×C4semidirect
133. #102×C61C2×C4semidirect
134. #102×C61C2×C4semidirect
135. #97×C61C2×C4semidirect
181. D8×C61C4⋊C4semidirect
248. D4×C61C2×C4⋊C4semidirect
298. C8×C61C2×C4⋊C4semidirect
372. #442Dic61semidirect
409. C61#22676semidirect
435. C4×D4C2×Dic61semidirect
436. C4×D4C2×Dic61semidirect
465. #106C2×Dic61semidirect
471. #102C2×Dic61semidirect
472. #102C2×Dic61semidirect
474. #97C2×Dic61semidirect
529. D8C4⋊Dic61semidirect
596. D4C2×C4⋊Dic61semidirect
648. C8C2×C4⋊Dic61semidirect

Maximal subgroups

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

subgroupindex
C2×#168398742
C2×D8×Dic612
#214487292
D4×C4⋊Dic612
#214465632
#214465482
#214460822
#214460682
#214459872
#214458292
#214458192
#214456912
C2×C61×#4422
#2267661