Finite Group Databasebeta

← #29700350

Subgroups — #29700350

Order 15616.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839920C211yesmaximal, characteristic
2C2×#16839870C211yesmaximal, characteristic, complemented
3C22×#14519702C211yesmaximal, characteristic
4#21448822C211yesmaximal, characteristic
5C22⋊C4×Dic122C211yesmaximal, characteristic
6#21446690C211yesmaximal, characteristic, complemented
7#21446509C211yesmaximal, characteristic, complemented
8#21446454C211yesmaximal, characteristic, complemented
9#21446242C211yesmaximal, characteristic
10#21446159C211yesmaximal, characteristic, complemented
11#21446159C211yesmaximal, characteristic, complemented
12#21446090C211yesmaximal, characteristic, complemented
13#21446014C211yesmaximal, characteristic
14#21445650C211yesmaximal, characteristic, complemented
15C61×#1752C211yesmaximal, characteristic
16C23×Dic122C2211yescharacteristic
17C22×Dic244C2211yescharacteristic
18C22×Dic244C2211yescharacteristic
19C2×#14519756C2211yescharacteristic
20C2×C4×Dic122C2211yescharacteristic
21C2×C4×Dic122C2211yescharacteristic
22C2×C4×Dic122C2211yescharacteristic
23C22×C4⋊Dic61C2211yescharacteristic
24#16839920C418yescomplemented
25#16839870—24no—
26C2×#14519709C2211yescharacteristic
27C2×#14519709C2211yescharacteristic
28C2×#14519702—24no—
29C2×#14519702C2211yescharacteristic
30C2×#14519702C2211yescharacteristic
31C2×#14519702C2211yescharacteristic
32C2×#14519702C2211yescharacteristic
33C2×#14519702C2211yescharacteristic
34C2×#14519702C2211yescharacteristic
35C2×#14519702C2211yescharacteristic
36C2×#14519702C2211yescharacteristic
37#16839668C2211yescharacteristic
38#16839668C2211yescharacteristic
39#16839668C2211yescharacteristic
40#16839666—21no—
41#16839666—21no—
42#16839660C2211yescharacteristic
43#16839659—21no—
44#16839649—21no—
45#16839634—21no—
46#16839622C2211yescharacteristic
47#16839620—21no—
48C4×C4⋊Dic61C2211yescharacteristic
49C22⋊C4×Dic61—21no—
50C22⋊C4×Dic61—21no—
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839525C2211yescharacteristic
54#16839525C2211yescharacteristic
55C23×C8×C61C2211yescharacteristic
56C2×C22⋊C8×C61C2211yescharacteristic
57C2×#97×C61C2211yescharacteristic
58C2×#97×C61C2211yescharacteristic
59C4×C22⋊C4×C61C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C22×Dic122—22no—
63C22×Dic122—22no—
64C22×Dic122—21no—
65C22×Dic122—22no—
66C22×Dic122—41no—
67C22×Dic122—41no—
68C22×Dic122C2×C414yes—
69C22×Dic122C2311yescharacteristic
70C22×Dic122C2311yescharacteristic
71C22×Dic122C2311yescharacteristic
72C23×Dic61—21no—
73C23×Dic61—21no—
74C2×Dic244—22no—
75C2×Dic244—22no—
76C2×Dic244—41no—
77C2×Dic244—41no—
78C2×Dic244C2×C414yescomplemented
79C2×Dic244C2×C414yescomplemented
80#14519756—22no—
81#14519756C2×C414yes—
82C4×Dic122—22no—
83C4×Dic122—22no—
84C4×Dic122—22no—
85C4×Dic122—41no—
86C4×Dic122—41no—
87C4×Dic122—41no—
88C2×C4⋊Dic61—22no—
89C2×C4⋊Dic61—21no—
90C2×C4⋊Dic61—41no—
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×C4⋊Dic61C2311yescharacteristic
95C2×C4⋊Dic61C2311yescharacteristic
96C2×#11758196—21no—
97C2×#11758196—21no—
98C2×#11758196—21no—
99C2×#11758196—21no—
100C2×#11758196—21no—
101C2×C22⋊Dic61—21no—
102C2×C22⋊Dic61—21no—
103C2×C4×Dic61—21no—
104C2×C4×Dic61—21no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61—21no—
107#14519709—22no—
108#14519709—41no—
109#14519702—22no—
110#14519702—22no—
111#14519702—22no—
112#14519702—22no—
113#14519702—41no—
114#14519702C2×C414yescomplemented
115#14519702C2×C414yescomplemented
116#14519702D414yes—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125#14519684—21no—
126C23×C4×C61C2311yescharacteristic
127C22×C8×C61—22no—
128C22×C8×C61—22no—
129C22×C8×C61—41no—
130C22×C8×C61C2311yescharacteristic
131C22×C8×C61C2311yescharacteristic
132C22×C8×C61C2311yescharacteristic
133C22×C8×C61C2311yescharacteristic
134C2×C22⋊C4×C61D411yescharacteristic
135C2×C22⋊C4×C61D411yescharacteristic
136C2×C42×C61C2311yescharacteristic
137C2×C42×C61C2311yescharacteristic
138C22⋊C8×C61C2×C414yes—
139#97×C61—22no—
140#97×C61—41no—
141#95×C61D411yescharacteristic
142#95×C61D411yescharacteristic
143C24×C61C2×D411yescharacteristic
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61C22×C412yes—
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61#4112yes—
155C22×C4×C61C2411yescharacteristic
156C22×Dic61—21no—
157C22×Dic61—24no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
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—81no—
170C2×Dic122—21no—
171C2×Dic122—21no—
172C2×Dic122—21no—
173C2×Dic122—21no—
174C2×Dic122—21no—
175C2×Dic122—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—28no—
182C2×Dic122—24no—
183C2×Dic122—21no—
184C2×Dic122—21no—
185C2×Dic122—44no—
186C2×Dic122—44no—
187C2×Dic122—44no—
188C2×Dic122—42no—
189C2×Dic122—42no—
190C2×Dic122C22×C412yes—
191C2×Dic122C22×C412yes—
192C2×Dic122C22×C412yes—
193C2×Dic122C2×D412yes—
194C2×Dic122#4112yes—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61—21no—
201C2×C8×C61—21no—
202C2×C8×C61—21no—
203C2×C8×C61—21no—
204C2×C8×C61—44no—
205C2×C8×C61C22×C412yes—
206C2×C8×C61C22×C412yes—
207C2×C8×C61C2×D412yes—
208C22⋊C4×C61—22no—
209C22⋊C4×C61—22no—
210C42×C61—21no—
211C42×C61—21no—
212C42×C61—21no—
213C42×C61—21no—
214C22⋊Dic61—24no—
215C22⋊Dic61—42no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—42no—
225C4⋊Dic61C22×C412yes—
226C4⋊Dic61C2×D412yes—
227#11758196—24no—
228#11758196—42no—
229#11758196—42no—
230#11758196—42no—
231#11758196—81no—
232C4×Dic61—42no—
233C4×Dic61—42no—
234C4×Dic61—42no—
235C4×Dic61—81no—
236Dic244—28no—
237Dic244—44no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61C4×D412yes—
243C23×C61#13712yes—
244C23×C61#13712yes—
245C23×C61C22×D411yescharacteristic
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—22no—
249C2×C4×C61—22no—
250C2×C4×C61—22no—
251C2×C4×C61—22no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61C4×D412yes—
265C2×C4×C61C23×C411yescharacteristic
266C2×C4×C61C22×D411yescharacteristic
267C2×C4×C61C2×#4111yescharacteristic
268C2×C4×C61C2×#4111yescharacteristic
269C2×C4×C61H(5,𝔽2)11yescharacteristic
270C2×C4×C61H(5,𝔽2)11yescharacteristic
271C2×Dic61—22no—
272C2×Dic61—22no—
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—22no—
276C2×Dic61—22no—
277C2×Dic61—22no—
278C2×Dic61—48no—
279C2×Dic61—41no—
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—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—84no—
297Dic122—22no—
298Dic122—22no—
299Dic122—22no—
300Dic122—22no—
301Dic122—22no—
302Dic122—22no—
303Dic122—22no—
304Dic122—48no—
305Dic122—41no—
306Dic122—41no—
307Dic122—41no—
308Dic122—41no—
309Dic122C4×D414yes—
310C8×C61—22no—
311C8×C61—22no—
312C8×C61—22no—
313C8×C61—41no—
314#22859—611nomaximal, Sylow
315C22×C61—22no—
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—22no—
319C22×C61—22no—
320C22×C61—22no—
321C22×C61#44114yescomplemented
322C22×C61C2×C4×D411yescharacteristic
323C22×C61D4211yescharacteristic
324C22×C61#54611yescharacteristic
325C22×C61C2×#13711yescharacteristic
326C22×C61C2×#13711yescharacteristic
327C22×C61#57711yescharacteristic
328C22×C61#57811yescharacteristic
329C4×C61—22no—
330C4×C61—41no—
331C4×C61—41no—
332C4×C61—41no—
333C4×C61—41no—
334C4×C61C2×C4×D411yescharacteristic
335C4×C61#51811yescharacteristic
336C4×C61#54611yescharacteristic
337C4×C61#55111yescharacteristic
338Dic61—24no—
339Dic61—42no—
340Dic61—42no—
341Dic61—42no—
342Dic61—42no—
343Dic61—81no—
344Dic61—81no—
345Dic61—81no—
346C2×#451—611no—
347C2×#441—611no—
348C22×#103—611no—
349#2360—611no—
350Q8×C22⋊C4—611no—
351#1971—611no—
352#1935—611no—
353#1927—611no—
354#1892—611no—
355#1878—611no—
356#1878—611no—
357#1865—611no—
358#1853—611no—
359#1763—611no—
360#1752D6111yescharacteristic
361C2×C61—24no—
362C2×C61#235811yescharacteristic
363C2×C61C2×#44111yescharacteristic
364C2×C61#294711yescharacteristic
365C2×C61#326611yescharacteristic
366C2×C61#327011yescharacteristic
367C2×C61#331211yescharacteristic
368C2×C61#331611yescharacteristic
369C23×Q8—611no—
370C22×Q16—611no—
371C22×Q16—611no—
372C23×C8C2×D6111yescharacteristic
373C2×C22⋊Q8—611no—
374C2×C4×Q8—611no—
375C2×C4×Q8—611no—
376C2×C4×Q8—611no—
377C22×C4⋊C4—611no—
378#451—618no—
379#441—1224no—
380C2×#106—611no—
381C2×#106—611no—
382C2×#103—611no—
383C2×#103—611no—
384C2×#103—611no—
385C2×#103—611no—
386C2×#103—611no—
387C2×#103—611no—
388C2×#103—611no—
389C2×#103—611no—
390C2×#103—1224no—
391C2×C22⋊C8C2×D6111yescharacteristic
392C2×#97C2×D6111yescharacteristic
393C2×#97C2×D6111yescharacteristic
394#391—611no—
395#391—611no—
396#391—611no—
397#391—1221no—
398#391—1221no—
399#389—611no—
400#389—1221no—
401#387—1221no—
402#385—1221no—
403#380—611no—
404#380—1221no—
405C4×C4⋊C4—611no—
406C4×C22⋊C4—1221no—
407C4×C22⋊C4—1221no—
408C4×C22⋊C4C2×D6111yescharacteristic
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#336C2×D6111yescharacteristic
414#336C2×D6111yescharacteristic
415C61#2285911yescharacteristic, complemented, Sylow
416C22×Q8—614no—
417C22×Q8—611no—
418C22×Q8—611no—
419C22×Q8—611no—
420C22×Q8—1222no—
421C22×Q8—1222no—
422C22×Q8—1221no—
423C22×Q8—1222no—
424C22×Q8—2441no—
425C22×Q8—2441no—
426C23×C4—1221no—
427C23×C4—1221no—
428C23×C4C22×D6111yescharacteristic
429C2×Q16—614no—
430C2×Q16—614no—
431C2×Q16—1222no—
432C2×Q16—1222no—
433C2×Q16—2441no—
434C2×Q16—2441no—
435C22×C8—22no—
436C22×C8—22no—
437C22×C8—41no—
438C22×C8C22×D6111yescharacteristic
439C22×C8C22×D6111yescharacteristic
440C22×C8C22×D6111yescharacteristic
441C22×C8C22×D6111yescharacteristic
442C22⋊Q8—614no—
443C22⋊Q8—1222no—
444C4×Q8—1222no—
445C4×Q8—1222no—
446C4×Q8—1222no—
447C4×Q8—2441no—
448C4×Q8—2441no—
449C4×Q8—2441no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—1222no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—2441no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4D24411yescharacteristic
466C2×C22⋊C4D24411yescharacteristic
467C2×C42—1221no—
468C2×C42—1221no—
469C2×C42—1221no—
470C2×C42—1221no—
471C2×C42C22×D6111yescharacteristic
472C2×C42C22×D6111yescharacteristic
473#106—1222no—
474#106—2441no—
475#103—614no—
476#103—614no—
477#103—614no—
478#103—1222no—
479#103—1222no—
480#103—1222no—
481#103—1222no—
482#103—2441no—
483C22⋊C8C4×D6114yes—
484#97—22no—
485#97—41no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95D24411yescharacteristic
496#95D24411yescharacteristic
497C24C2×D24411yescharacteristic
498C2×Q8—612no—
499C2×Q8—612no—
500C2×Q8—612no—
501C2×Q8—612no—
502C2×Q8—612no—
503C2×Q8—1228no—
504C2×Q8—1221no—
505C2×Q8—1221no—
506C2×Q8—1221no—
507C2×Q8—1221no—
508C2×Q8—1221no—
509C2×Q8—1224no—
510C2×Q8—1221no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1221no—
516C2×Q8—1221no—
517C2×Q8—1221no—
518C2×Q8—2442no—
519C2×Q8—2442no—
520C2×Q8—2444no—
521C2×Q8—2444no—
522C2×Q8—2444no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1224no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—4881no—
537C22×C4—2442no—
538C22×C4—2442no—
539C22×C4—2442no—
540C22×C4—2442no—
541C22×C4C2×C4×D6112yes—
542C22×C4C2×D24411yescharacteristic
543C22×C4C2×D24411yescharacteristic
544C22×C4C2×D24411yescharacteristic
545C22×C4C2×D24411yescharacteristic
546C22×C4C2×D24411yescharacteristic
547C22×C4#1175822212yes—
548C22×C4C23×D6111yescharacteristic
549Q16—1228no—
550Q16—2444no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—44no—
561C2×C8C2×C4×D6112yes—
562C2×C8C2×C4×D6112yes—
563C2×C8D4×D6112yes—
564C4⋊C4—612no—
565C4⋊C4—612no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1224no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—4881no—
576C4⋊C4—2442no—
577C4⋊C4—2442no—
578C4⋊C4—2442no—
579C4⋊C4—2442no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—1224no—
583C22⋊C4—2442no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—4881no—
589C42—2442no—
590C42—2442no—
591C42—2442no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23C4×D24412yes—
597C23#1451981012yes—
598C23#1451981012yes—
599C23C22×D24411yescharacteristic
600Q8—614no—
601Q8—1222no—
602Q8—1222no—
603Q8—1222no—
604Q8—1222no—
605Q8—1222no—
606Q8—1222no—
607Q8—1222no—
608Q8—2448no—
609Q8—2441no—
610Q8—2441no—
611Q8—2441no—
612Q8—2441no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—4884no—
639C2×C4—2448no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4C4×D24412yes—
658C2×C4C22×C4×D6111yescharacteristic
659C2×C4C2×D4×D6111yescharacteristic
660C2×C4#41×D6111yescharacteristic
661C2×C4C2×#1175822211yescharacteristic
662C2×C4#1451982211yescharacteristic
663C2×C4#1451982311yescharacteristic
664C8—22no—
665C8—22no—
666C8—22no—
667C8—41no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22#1683987014yescomplemented
675C22C2×C4×D24411yescharacteristic
676C22D4×D24411yescharacteristic
677C22#1684040711yescharacteristic
678C22C2×#1451981011yescharacteristic
679C22C2×#1451981011yescharacteristic
680C22#1684057411yescharacteristic
681C22#1684057911yescharacteristic
682C4—22no—
683C4—41no—
684C4—41no—
685C4—41no—
686C4—41no—
687C4—1224no—
688C4—4881no—
689C4—4881no—
690C4—4881no—
691C4—2442no—
692C4—2442no—
693C4—2442no—
694C4—2442no—
695C4C4×D4×D6111yescharacteristic
696C4#1684023411yescharacteristic
697C4#1684040211yescharacteristic
698C4#1684043611yescharacteristic
699C2—24no—
700C2#2144880111yescharacteristic
701C2C2×#1683987011yescharacteristic
702C2#2145466411yescharacteristic
703C2#2145733411yescharacteristic
704C2#2145739411yescharacteristic
705C2#2145787211yescharacteristic
706C2#2145793211yescharacteristic
subgroupG/H
centerC23C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1752C2
socleC23×C61C22×D4
prime radicalC24×C61C2×D4
cosocleC22×C4×C61C24
hypercenter#1752D61
hypocenterC61#22859
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #1752

Complements

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

NH ≅ G/Ntype
2. C2×#16839870C2semidirect
6. #21446690C2semidirect
7. #21446509C2semidirect
8. #21446454C2semidirect
10. #21446159C2semidirect
11. #21446159C2semidirect
12. #21446090C2semidirect
14. #21445650C2semidirect
24. #16839920C4semidirect
78. C2×Dic244C2×C4semidirect
79. C2×Dic244C2×C4semidirect
114. #14519702C2×C4semidirect
115. #14519702C2×C4semidirect
321. C22×C61#441semidirect
415. C61#22859semidirect
674. C22#16839870semidirect

Maximal subgroups

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

subgroupindex
C2×#168399202
C2×#168398702
C22×#145197022
#214488222
C22⋊C4×Dic1222
#214466902
#214465092
#214464542
#214462422
#214461592
#214460902
#214460142
#214456502
C61×#17522
#2285961