Finite Group Databasebeta

← #29698349

Subgroups — #29698349

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×#16839872C211yesmaximal, characteristic
2C2×#16839872C211yesmaximal, characteristic
3C2×C4×#11758199C211yesmaximal, characteristic
4C4⋊C4×D244C211yesmaximal, characteristic, complemented
5#21446559C211yesmaximal, characteristic, complemented
6#21446544C211yesmaximal, characteristic, complemented
7#21446080C211yesmaximal, characteristic, complemented
8#21446079C211yesmaximal, characteristic, complemented
9#21446066C211yesmaximal, characteristic, complemented
10#21446065C211yesmaximal, characteristic, complemented
11#21445988C211yesmaximal, characteristic, complemented
12#21445826C211yesmaximal, characteristic, complemented
13#21445819C211yesmaximal, characteristic, complemented
14#21445694C211yesmaximal, characteristic, complemented
15C61×#2349C211yesmaximal, characteristic, complemented
16C22×#11758199C2211yescharacteristic
17C2×C4×D244C2211yescharacteristic
18C2×C4×D244C2211yescharacteristic
19C2×C4×D244C2211yescharacteristic
20C2×C4⋊C4×D61—21no—
21#16839872—24no—
22#16839872C418yescomplemented
23C4×#11758199—24no—
24C2×#14519710C2211yescharacteristic
25C2×#14519710C2211yescharacteristic
26C2×#14519708C2211yescharacteristic
27C2×#14519708C2211yescharacteristic
28C2×#14519708C2211yescharacteristic
29C2×C4⋊#92418C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×#14519697C2211yescharacteristic
36C2×#14519688C2211yescharacteristic
37C2×#14519688C2211yescharacteristic
38C2×C4×#92418C2211yescharacteristic
39#16839660C2211yescharacteristic
40#16839660C2211yescharacteristic
41#16839636—21no—
42#16839636—21no—
43#16839632C2211yescharacteristic
44#16839619—21no—
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839517C2211yescharacteristic
51C2×C4×D4×C61C2211yescharacteristic
52C2×C4×D4×C61C2211yescharacteristic
53C2×C4×D4×C61C2211yescharacteristic
54C61×#389C2211yescharacteristic
55C61×#389C2211yescharacteristic
56C61×#385—21no—
57C61×#385—21no—
58C61×#382C2211yescharacteristic
59C61×#380—21no—
60C4×C4⋊C4×C61C2211yescharacteristic
61C2×#95×C61—21no—
62C22×D244C2311yescharacteristic
63C22×C4×D61—21no—
64C22×C4×D61—21no—
65C22×C4×D61—21no—
66C2×#11758199C2×C414yes—
67C2×#11758199D414yes—
68C2×#11758199Q814yes—
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73C4×D244—22no—
74C4×D244—22no—
75C4×D244—22no—
76C4×D244—41no—
77C4×D244—41no—
78C4×D244C2×C414yescomplemented
79C2×C4⋊Dic61—21no—
80C2×C4⋊Dic61—21no—
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×#11758196—21no—
85C2×#11758196—21no—
86C4⋊C4×D61—44no—
87C2×#11758198—21no—
88C2×#11758198—21no—
89C2×#11758198—21no—
90#14519710—22no—
91#14519710—41no—
92#14519708—22no—
93#14519708—41no—
94#14519708C2×C414yescomplemented
95C4⋊#92418—22no—
96#14519698—22no—
97#14519698—22no—
98#14519698C2×C414yescomplemented
99#14519697—22no—
100#14519697—22no—
101#14519697C2×C414yescomplemented
102#14519688—22no—
103#14519688C2×C414yescomplemented
104C4×#92418—22no—
105#14519684—21no—
106#14519684—21no—
107C22×D4×C61C2311yescharacteristic
108C23×C4×C61—21no—
109C23×C4×C61—21no—
110C23×C4×C61—21no—
111C4×D4×C61—22no—
112C4×D4×C61—22no—
113C4×D4×C61—22no—
114C4×D4×C61—41no—
115C4×D4×C61—41no—
116C4×D4×C61C2×C414yescomplemented
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61—21no—
119C2×C4⋊C4×C61D411yescharacteristic
120C2×C4⋊C4×C61D411yescharacteristic
121C2×C4⋊C4×C61C2311yescharacteristic
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C4⋊C4×C61C2311yescharacteristic
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61—21no—
127C2×C42×C61C2311yescharacteristic
128C2×C42×C61C2311yescharacteristic
129C2×C42×C61C2311yescharacteristic
130#95×C61—21no—
131#95×C61—21no—
132#95×C61—21no—
133#95×C61—21no—
134#95×C61D411yescharacteristic
135#95×C61D411yescharacteristic
136C24×C61—21no—
137C23×D61—21no—
138C2×D4×C61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61C22×C412yes—
142C2×D4×C61C2×D412yes—
143C2×D4×C61C2×Q812yes—
144C22×C4×C61—21no—
145C22×C4×C61—24no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—42no—
149C22×C4×C61—42no—
150C22×C4×C61—42no—
151C22×C4×C61—42no—
152C22×C4×C61—81no—
153C22×C4×C61—81no—
154C22×C4×C61—81no—
155C22×C4×C61—81no—
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2411yescharacteristic
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C2×D244—21no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244C22×C412yes—
170C2×D244C2×D412yes—
171C2×D244C2×Q812yes—
172C2×C4×D61—24no—
173C2×C4×D61—42no—
174C2×C4×D61—42no—
175C2×C4×D61—42no—
176C2×C4×D61—42no—
177C2×C4×D61—42no—
178C2×C4×D61—42no—
179C2×C4×D61—81no—
180C2×C4×D61—81no—
181C4⋊C4×C61—22no—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—41no—
188C4⋊C4×C61—81no—
189C4⋊C4×C61—81no—
190C4⋊C4×C61C22×C412yes—
191C22⋊C4×C61—24no—
192C22⋊C4×C61—42no—
193C22⋊C4×C61—42no—
194C42×C61—21no—
195C42×C61—21no—
196C42×C61—21no—
197C42×C61—21no—
198C42×C61C22×C412yes—
199C42×C61#4112yes—
200#11758199C4⋊C4116yescomplemented
201#11758198—24no—
202#11758198—42no—
203#11758198—42no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—42no—
210C4⋊Dic61—81no—
211C4⋊Dic61C22×C412yes—
212#11758196—42no—
213#11758196—42no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418C22×C412yes—
223C2×#92418C22×C412yes—
224C2×#92418C2×D412yes—
225C2×#92418C2×Q812yes—
226C23×C61—22no—
227C23×C61—22no—
228C23×C61—22no—
229C23×C61—41no—
230C23×C61—41no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61C22×D411yescharacteristic
234C22×D61—22no—
235C22×D61—22no—
236C22×D61—22no—
237C22×D61—41no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—41no—
241D4×C61—22no—
242D4×C61—22no—
243D4×C61—22no—
244D4×C61C2×C4⋊C414yescomplemented
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
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—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—84no—
270C2×C4×C61—84no—
271C2×C4×C61—84no—
272C2×C4×C61C4×D412yes—
273C2×C4×C61C4×D412yes—
274C2×C4×C61AGL(1,ℤ/8)12yes—
275C2×C4×C61C23×C411yescharacteristic
276C2×C4×C61C22×D411yescharacteristic
277C2×C4×C61C22×Q811yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C61H(5,𝔽2)11yescharacteristic
280C2×C4×C612−1+411yescharacteristic
281C2×Dic61—22no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290D244—22no—
291D244—22no—
292D244—22no—
293D244C2×C4⋊C414yes—
294C4×D61—48no—
295C4×D61—84no—
296C4×D61—84no—
297#92418—22no—
298#92418—41no—
299#92418—41no—
300#92418C2×C4⋊C414yescomplemented
301#22676—611nomaximal, Sylow
302C22×C61—24no—
303C22×C61—42no—
304C22×C61—42no—
305C22×C61—42no—
306C22×C61—42no—
307C22×C61—42no—
308C22×C61—42no—
309C22×C61C2×C4×D411yescharacteristic
310C22×C61D4211yescharacteristic
311C22×C61D4×Q811yescharacteristic
312C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
313C22×C61#57511yescharacteristic
314C22×C61#57611yescharacteristic
315C22×C61#57711yescharacteristic
316C2×D61—24no—
317C2×D61—42no—
318C2×D61—42no—
319C2×D61—42no—
320C2×D61—42no—
321C2×D61—42no—
322C2×D61—42no—
323C4×C61—22no—
324C4×C61—22no—
325C4×C61—22no—
326C4×C61—42no—
327C4×C61—41no—
328C4×C61—41no—
329C4×C61—41no—
330C4×C61—81no—
331C4×C61—81no—
332C4×C61C22×C4⋊C411yescharacteristic
333C4×C61#52011yescharacteristic
334C4×C61#54711yescharacteristic
335C4×C61#55411yescharacteristic
336Dic61—42no—
337Dic61—81no—
338Dic61—81no—
339C2×#442—611no—
340C2×#442—611no—
341C2×C4×D8—611no—
342#2349D6111yescharacteristic, complemented
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×C61D4×C4⋊C411yescharacteristic
356C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
357C2×C61#294611yescharacteristic
358C2×C61#326411yescharacteristic
359C2×C61#326711yescharacteristic
360C2×C61#338411yescharacteristic
361C2×C61#338911yescharacteristic
362D61—44no—
363C22×D8—611no—
364C2×C4×D4—611no—
365C2×C4×D4—611no—
366C2×C4×D4—611no—
367C2×C4×D4C2×D6111yescharacteristic
368C2×C4×D4C2×D6111yescharacteristic
369C2×C4×D4C2×D6111yescharacteristic
370C22×C4⋊C4—1221no—
371#442—618no—
372#442—1224no—
373C4×D8—1224no—
374C2×#107—611no—
375C2×#107—611no—
376C2×#106—611no—
377C2×#106—611no—
378C2×#106—611no—
379C2×C4⋊C8—611no—
380C2×#102—611no—
381C2×#102—611no—
382C2×#102—611no—
383C2×#102—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#97—611no—
387C2×#97—611no—
388C2×C4×C8—611no—
389#389—611no—
390#389—611no—
391#389C2×D6111yescharacteristic
392#389C2×D6111yescharacteristic
393#385—21no—
394#385—21no—
395#385—1221no—
396#385—1221no—
397#384—611no—
398#382C2×D6111yescharacteristic
399#380—21no—
400#380—1221no—
401C4×C4⋊C4C2×D6111yescharacteristic
402C2×#95—21no—
403#340—611no—
404#340—611no—
405#340—611no—
406#340—611no—
407#336—611no—
408#336—611no—
409C61#2267611yescharacteristic, complemented, Sylow
410C22×D4—611no—
411C22×D4C22×D6111yescharacteristic
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—21no—
415C23×C4—1221no—
416C23×C4—1221no—
417C23×C4—1221no—
418C2×D8—614no—
419C2×D8—614no—
420C2×D8—614no—
421C22×C8—611no—
422C22×C8—611no—
423C22×C8—611no—
424C22×C8—611no—
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—22no—
428C4×D4—41no—
429C4×D4—41no—
430C4×D4—614no—
431C4×D4—1222no—
432C4×D4—1222no—
433C4×D4—1222no—
434C4×D4—2441no—
435C4×D4—2441no—
436C4×D4C4×D6114yescomplemented
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—611no—
440C2×C4⋊C4—611no—
441C2×C4⋊C4—611no—
442C2×C4⋊C4—1221no—
443C2×C4⋊C4—1221no—
444C2×C4⋊C4—1221no—
445C2×C4⋊C4—1221no—
446C2×C4⋊C4—2444no—
447C2×C4⋊C4C22⋊D6111yescharacteristic
448C2×C4⋊C4C22⋊D6111yescharacteristic
449C2×C4⋊C4C22×D6111yescharacteristic
450C2×C4⋊C4C22×D6111yescharacteristic
451C2×C4⋊C4C22×D6111yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C42C22×D6111yescharacteristic
459C2×C42C22×D6111yescharacteristic
460C2×C42C22×D6111yescharacteristic
461#107—1222no—
462#107—2441no—
463#106—614no—
464#106—1222no—
465#106—2441no—
466C4⋊C8—1222no—
467#102—614no—
468#102—614no—
469#102—1222no—
470#102—1222no—
471#102—1222no—
472#102—1222no—
473#97—614no—
474#97—1222no—
475C4×C8—1222no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—21no—
480#95—1221no—
481#95—1221no—
482#95C22⋊D6111yescharacteristic
483#95C22⋊D6111yescharacteristic
484C24—21no—
485C24—1221no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—612no—
490C2×D4—612no—
491C2×D4—612no—
492C2×D4—1221no—
493C2×D4—1221no—
494C2×D4—1221no—
495C2×D4C2×C4×D6112yes—
496C2×D4D4×D6112yes—
497C2×D4Q8×D6112yes—
498C22×C4—21no—
499C22×C4—24no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—1221no—
511C22×C4—1224no—
512C22×C4—1221no—
513C22×C4—1221no—
514C22×C4—4881no—
515C22×C4—4881no—
516C22×C4—2442no—
517C22×C4—2442no—
518C22×C4—2442no—
519C22×C4—2442no—
520C22×C4—2442no—
521C22×C4—2442no—
522C22×C4C2×C22⋊D6111yescharacteristic
523C22×C4C2×C22⋊D6111yescharacteristic
524C22×C4C2×C22⋊D6111yescharacteristic
525C22×C4C2×C22⋊D6111yescharacteristic
526C22×C4C2×C22⋊D6111yescharacteristic
527C22×C4C2×C22⋊D6111yescharacteristic
528C22×C4C23×D6111yescharacteristic
529D8—6116no—
530C2×C8—612no—
531C2×C8—612no—
532C2×C8—612no—
533C2×C8—612no—
534C2×C8—1221no—
535C2×C8—1221no—
536C2×C8—1221no—
537C2×C8—1221no—
538C2×C8—1221no—
539C2×C8—1221no—
540C2×C8—1221no—
541C2×C8—1221no—
542C4⋊C4—21no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—41no—
549C4⋊C4—81no—
550C4⋊C4—81no—
551C4⋊C4—612no—
552C4⋊C4—1221no—
553C4⋊C4—1221no—
554C4⋊C4—1221no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—4881no—
558C4⋊C4—2442no—
559C4⋊C4—2442no—
560C4⋊C4—2442no—
561C4⋊C4C2×C4×D6112yes—
562C22⋊C4—24no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—1224no—
566C22⋊C4—2442no—
567C22⋊C4—2442no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—21no—
572C42C2×C4×D6112yes—
573C42#1175822212yes—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—1222no—
582C23—1222no—
583C23—1222no—
584C23—2441no—
585C23—2441no—
586C23—2441no—
587C23—2441no—
588C23C22×C22⋊D6111yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—614no—
593D4—1222no—
594D4—1222no—
595D4—1222no—
596D4C4⋊C4×D6114yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4—84no—
624C2×C4—1222no—
625C2×C4—4884no—
626C2×C4—4884no—
627C2×C4—2448no—
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×C4C4×C22⋊D6112yes—
637C2×C4C4×C22⋊D6112yes—
638C2×C4#1451980212yes—
639C2×C4C22×C4×D6111yescharacteristic
640C2×C4C2×D4×D6111yescharacteristic
641C2×C4C2×Q8×D6111yescharacteristic
642C2×C4C2×#1175822211yescharacteristic
643C2×C4#1451982211yescharacteristic
644C2×C4#1451982511yescharacteristic
645C8—614no—
646C8—1222no—
647C8—2441no—
648C8—2441no—
649C22—24no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—1224no—
657C22—2442no—
658C22—2442no—
659C22—2442no—
660C22—2442no—
661C22—2442no—
662C22—2442no—
663C22C2×C4×C22⋊D6111yescharacteristic
664C22D4×C22⋊D6111yescharacteristic
665C22Q8×C22⋊D6111yescharacteristic
666C22C2×#1451980211yescharacteristic
667C22#1684056011yescharacteristic
668C22#1684056511yescharacteristic
669C22#1684057311yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—42no—
674C4—41no—
675C4—41no—
676C4—41no—
677C4—81no—
678C4—81no—
679C4—4881no—
680C4—4881no—
681C4—2442no—
682C4C2×C4⋊C4×D6111yescharacteristic
683C4#1684024311yescharacteristic
684C4#1684041311yescharacteristic
685C4#1684046711yescharacteristic
686C2—44no—
687C2—2444no—
688C2C4⋊C4×C22⋊D6111yescharacteristic
689C2C4×#1451980211yescharacteristic
690C2#2145465111yescharacteristic
691C2#2145730011yescharacteristic
692C2#2145734011yescharacteristic
693C2#2145871811yescharacteristic
694C2#2145877311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2349C2
socleC23×C61C22×D4
prime radicalC22×#11758199C22
cosocleC22×C4×C61C24
hypercenter#2349D61
hypocenterC61#22676
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2349

Complements

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

NH ≅ G/Ntype
4. C4⋊C4×D244C2semidirect
5. #21446559C2semidirect
6. #21446544C2semidirect
7. #21446080C2semidirect
8. #21446079C2semidirect
9. #21446066C2semidirect
10. #21446065C2semidirect
11. #21445988C2semidirect
12. #21445826C2semidirect
13. #21445819C2semidirect
14. #21445694C2semidirect
15. C61×#2349C2semidirect
22. #16839872C4semidirect
78. C4×D244C2×C4semidirect
94. #14519708C2×C4semidirect
98. #14519698C2×C4semidirect
101. #14519697C2×C4semidirect
103. #14519688C2×C4semidirect
116. C4×D4×C61C2×C4semidirect
200. #11758199C4⋊C4semidirect
244. D4×C61C2×C4⋊C4semidirect
300. #92418C2×C4⋊C4semidirect
342. #2349D61semidirect
409. C61#22676semidirect
436. C4×D4C4×D61semidirect
596. D4C4⋊C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168398722
C2×C4×#117581992
C4⋊C4×D2442
#214465592
#214465442
#214460802
#214460792
#214460662
#214460652
#214459882
#214458262
#214458192
#214456942
C61×#23492
#2267661