Finite Group Databasebeta

← #29739990

Subgroups — #29739990

Order 15616.

1022 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839957C211yesmaximal, characteristic
2C2×C4×#11758199C211yesmaximal, characteristic, complemented
3#21449584C211yesmaximal, characteristic, complemented
4#21447348C211yesmaximal, characteristic, complemented
5#21447310C211yesmaximal, characteristic, complemented
6#21447223C211yesmaximal, characteristic, complemented
7#21447053C211yesmaximal, characteristic, complemented
8#21446501C211yesmaximal, characteristic, complemented
9#21446378C211yesmaximal, characteristic, complemented
10#21446167C211yesmaximal, characteristic, complemented
11#21446167C211yesmaximal, characteristic, complemented
12#21446167C211yesmaximal, characteristic, complemented
13#21446066C211yesmaximal, characteristic, complemented
14#21446065C211yesmaximal, characteristic, complemented
15D4×C4⋊C4×C61C211yesmaximal, characteristic, complemented
16C22×#11758199C2211yescharacteristic
17C22×#11758199C2211yescharacteristic
18C2×#14519774C2211yescharacteristic
19C2×#14519762—21no—
20C2×C4×D244C2211yescharacteristic
21#16839957—24no—
22C4×#11758199—24no—
23C2×#14519710C2211yescharacteristic
24C2×#14519710C2211yescharacteristic
25C2×C4⋊#92418C2211yescharacteristic
26C2×#14519698C2211yescharacteristic
27C2×#14519698C2211yescharacteristic
28C2×#14519697C2211yescharacteristic
29C2×#14519697C2211yescharacteristic
30C2×#14519697C2211yescharacteristic
31C2×#14519697C2211yescharacteristic
32C2×#14519697C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×C4×#92418C2211yescharacteristic
35#16839680—21no—
36#16839679—21no—
37#16839664C2211yescharacteristic
38#16839664C2211yescharacteristic
39#16839664C2211yescharacteristic
40#16839660C2211yescharacteristic
41#16839640—21no—
42#16839524C2211yescharacteristic
43#16839524C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839517C2211yescharacteristic
47#16839517C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50C2×C4×D4×C61C2211yescharacteristic
51C2×C4×D4×C61C2211yescharacteristic
52C2×C4×D4×C61C2211yescharacteristic
53C22×C4⋊C4×C61—21no—
54C61×#389C2211yescharacteristic
55C61×#389C2211yescharacteristic
56C61×#385—21no—
57C61×#385—21no—
58C61×#384C2211yescharacteristic
59C61×#380—21no—
60C4×C4⋊C4×C61C2211yescharacteristic
61C22×D244—21no—
62C22×D244—21no—
63C22×D244C2311yescharacteristic
64C22×D244C2311yescharacteristic
65C22×C4×D61—21no—
66C2×#11758199—22no—
67C2×#11758199—22no—
68C2×#11758199—22no—
69C2×#11758199—22no—
70C2×#11758199—22no—
71C2×#11758199D414yes—
72C22×#92418C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75C22×#92418C2311yescharacteristic
76#14519774—22no—
77#14519774—41no—
78#14519762—44no—
79C4×D244—22no—
80C4×D244—41no—
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×#11758196—21no—
84C2×#11758198—21no—
85C2×#11758198—21no—
86C2×#11758198—21no—
87C2×#11758198—21no—
88C2×#11758198—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91#14519710—22no—
92#14519710—41no—
93C4⋊#92418—22no—
94#14519698—22no—
95#14519698—22no—
96#14519697—22no—
97#14519697—22no—
98#14519697—22no—
99#14519697—22no—
100#14519697—22no—
101#14519697—41no—
102C4×#92418—22no—
103#14519684—21no—
104C22×D4×C61C2311yescharacteristic
105C23×C4×C61—21no—
106C23×C4×C61—21no—
107C23×C4×C61—21no—
108C4×D4×C61—22no—
109C4×D4×C61—22no—
110C4×D4×C61—22no—
111C4×D4×C61—22no—
112C4×D4×C61—41no—
113C4×D4×C61—41no—
114C2×C4⋊C4×C61—21no—
115C2×C4⋊C4×C61—21no—
116C2×C4⋊C4×C61—21no—
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61—44no—
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×C61D411yescharacteristic
133#95×C61D411yescharacteristic
134C24×C61—21no—
135C23×D61—21no—
136C23×D61—21no—
137C2×D4×C61—21no—
138C2×D4×C61—21no—
139C2×D4×C61—21no—
140C2×D4×C61C2×D412yes—
141C2×D4×C61#4112yes—
142C2×D4×C61#4112yes—
143C22×C4×C61—24no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—42no—
148C22×C4×C61—42no—
149C22×C4×C61—42no—
150C22×C4×C61—42no—
151C22×C4×C61—42no—
152C22×C4×C61—42no—
153C22×C4×C61—81no—
154C22×C4×C61—81no—
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2411yescharacteristic
162C22×Dic61—21no—
163C22×Dic61—21no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—42no—
176C2×D244—42no—
177C2×D244—42no—
178C2×D244—42no—
179C2×D244—81no—
180C2×D244—81no—
181C2×D244C2×D412yes—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—81no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—41no—
191C4⋊C4×C61—42no—
192C4⋊C4×C61—42no—
193C4⋊C4×C61—42no—
194C4⋊C4×C61—81no—
195C4⋊C4×C61D814yescomplemented
196C4⋊C4×C61#4112yes—
197C22⋊C4×C61—24no—
198C22⋊C4×C61—42no—
199C22⋊C4×C61—42no—
200C42×C61—21no—
201C42×C61—21no—
202C42×C61—21no—
203C42×C61—21no—
204C42×C61—21no—
205C42×C61—21no—
206#11758199—28no—
207#11758199—44no—
208#11758198—42no—
209#11758198—42no—
210#11758198—42no—
211#11758198—42no—
212#11758198—81no—
213#11758198—81no—
214#11758198—81no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219#11758196—42no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418C2×D412yes—
232C23×C61—22no—
233C23×C61—22no—
234C23×C61—22no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61C22×D411yescharacteristic
240C22×D61—22no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254D4×C61—22no—
255D4×C61—22no—
256D4×C61—22no—
257D4×C61#12314yescomplemented
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×C61—21no—
265C2×C4×C61—22no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—48no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—84no—
284C2×C4×C61—84no—
285C2×C4×C61C2×D812yes—
286C2×C4×C61C2×D812yes—
287C2×C4×C61C2×D812yes—
288C2×C4×C61C22×D411yescharacteristic
289C2×C4×C61C2×#4111yescharacteristic
290C2×C4×C61C2×#4111yescharacteristic
291C2×C4×C61C2×#4111yescharacteristic
292C2×C4×C61H(5,𝔽2)11yescharacteristic
293C2×C4×C612−1+411yescharacteristic
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300D244—22no—
301D244—22no—
302D244—41no—
303D244—41no—
304D244—41no—
305D244—41no—
306D244—41no—
307D244—41no—
308D244—84no—
309D244—84no—
310C4×D61—84no—
311#92418—22no—
312#92418—41no—
313#92418—41no—
314#92418—41no—
315#26158—611nomaximal, Sylow
316C22×C61—24no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61#52511yescharacteristic
324C22×C61D4211yescharacteristic
325C22×C61#54811yescharacteristic
326C22×C61C22×D811yescharacteristic
327C22×C61#57511yescharacteristic
328C22×C61#57611yescharacteristic
329C22×C61#57711yescharacteristic
330C2×D61—42no—
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61—81no—
336C2×D61—81no—
337C2×D61—81no—
338C2×D61—81no—
339C2×D61—81no—
340C2×D61—81no—
341C2×D61—81no—
342C2×D61—81no—
343C2×D61—81no—
344C4×C61—22no—
345C4×C61—22no—
346C4×C61—22no—
347C4×C61—42no—
348C4×C61—41no—
349C4×C61—41no—
350C4×C61—41no—
351C4×C61—81no—
352C4×C61—81no—
353C4×C61C2×#12311yescharacteristic
354C4×C61#53911yescharacteristic
355C4×C61#54711yescharacteristic
356C4×C61#55311yescharacteristic
357Dic61—81no—
358Dic61—81no—
359C2×#459—611no—
360C2×C4×D8—611no—
361#2445—611no—
362D4×C4⋊C4D6111yescharacteristic, complemented
363#2093—611no—
364#2086—611no—
365#2071—611no—
366#2041—611no—
367#1934—611no—
368#1916—611no—
369#1879—611no—
370#1879—611no—
371#1879—611no—
372#1862—611no—
373#1862—611no—
374C2×C61—44no—
375C2×C61#244311yescharacteristic
376C2×C61#310011yescharacteristic
377C2×C61#311911yescharacteristic
378C2×C61#326711yescharacteristic
379C2×C61D4×D811yescharacteristic
380C2×C61#335811yescharacteristic
381C2×C61#337011yescharacteristic
382D61—82no—
383D61—161no—
384C22×D8—611no—
385C22×D8—611no—
386C2×#127—611no—
387C2×#123—1221no—
388C2×C4×D4—611no—
389C2×C4×D4C2×D6111yescharacteristic
390C2×C4×D4C2×D6111yescharacteristic
391C2×C4×D4C2×D6111yescharacteristic
392C22×C4⋊C4—21no—
393#459—1224no—
394C4×D8—1224no—
395C2×#107—611no—
396C2×#107—611no—
397C2×C4⋊C8—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#102—611no—
401C2×#102—611no—
402C2×#102—611no—
403C2×#102—611no—
404C2×#102—611no—
405C2×#102—611no—
406C2×C4×C8—611no—
407#394—1221no—
408#394—1221no—
409#390—611no—
410#390—611no—
411#390—611no—
412#389—611no—
413#389C2×D6111yescharacteristic
414#389C2×D6111yescharacteristic
415#386—1221no—
416#385—21no—
417#385—21no—
418#384C2×D6111yescharacteristic
419#380—21no—
420C4×C4⋊C4C2×D6111yescharacteristic
421#340—611no—
422#340—611no—
423#340—611no—
424#340—611no—
425#336—611no—
426#336—611no—
427#336—611no—
428#336—611no—
429C61#2615811yescharacteristic, complemented, Sylow
430C22×D4—611no—
431C22×D4—611no—
432C22×D4—1221no—
433C22×D4—1221no—
434C22×D4C22×D6111yescharacteristic
435C23×C4—21no—
436C23×C4—21no—
437C23×C4—21no—
438C23×C4—1221no—
439C2×D8—614no—
440C2×D8—1222no—
441C2×D8—1222no—
442C2×D8—1222no—
443C2×D8—1222no—
444C2×D8—1222no—
445C22×C8—611no—
446C22×C8—611no—
447C22×C8—611no—
448C22×C8—611no—
449#127—1222no—
450#127—2441no—
451#123—2444no—
452C4×D4—22no—
453C4×D4—22no—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—41no—
457C4×D4—41no—
458C4×D4—1222no—
459C4×D4—2441no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—44no—
465C2×C4⋊C4—611no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4C22⋊D6111yescharacteristic
469C2×C4⋊C4C22⋊D6111yescharacteristic
470C2×C4⋊C4C22×D6111yescharacteristic
471C2×C4⋊C4C22×D6111yescharacteristic
472C2×C4⋊C4C22×D6111yescharacteristic
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C22⋊C4—1221no—
483C2×C42C22×D6111yescharacteristic
484C2×C42C22×D6111yescharacteristic
485C2×C42C22×D6111yescharacteristic
486#107—1222no—
487#107—2441no—
488C4⋊C8—1222no—
489#102—1222no—
490#102—1222no—
491#102—1222no—
492#102—1222no—
493#102—1222no—
494#102—1222no—
495#102—1222no—
496#102—2441no—
497C4×C8—1222no—
498#95—21no—
499#95—21no—
500#95—1221no—
501#95C22⋊D6111yescharacteristic
502#95C22⋊D6111yescharacteristic
503C24—21no—
504C24—1221no—
505C24—1221no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—612no—
510C2×D4—1221no—
511C2×D4—1221no—
512C2×D4—1221no—
513C2×D4—1221no—
514C2×D4—1221no—
515C2×D4—1221no—
516C2×D4—1221no—
517C2×D4—1221no—
518C2×D4—1221no—
519C2×D4—1221no—
520C2×D4—1221no—
521C2×D4—4881no—
522C2×D4—4881no—
523C2×D4—2442no—
524C2×D4—2442no—
525C2×D4—2442no—
526C2×D4—2442no—
527C2×D4#1175822212yes—
528C2×D4D4×D6112yes—
529C2×D4#1175822612yes—
530C22×C4—24no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—81no—
541C22×C4—81no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—4881no—
545C22×C4—2442no—
546C22×C4—2442no—
547C22×C4C2×C22⋊D6111yescharacteristic
548C22×C4C2×C22⋊D6111yescharacteristic
549C22×C4C2×C22⋊D6111yescharacteristic
550C22×C4C2×C22⋊D6111yescharacteristic
551C22×C4C2×C22⋊D6111yescharacteristic
552C22×C4C2×C22⋊D6111yescharacteristic
553C22×C4C23×D6111yescharacteristic
554D8—1228no—
555D8—2444no—
556C2×C8—612no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—41no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—81no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—2442no—
583C4⋊C4#1175819914yescomplemented
584C4⋊C4#1175822212yes—
585C22⋊C4—24no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—4881no—
589C22⋊C4—4881no—
590C22⋊C4—4881no—
591C22⋊C4—2442no—
592C22⋊C4—2442no—
593C22⋊C4—2442no—
594C22⋊C4—2442no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—21no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—1222no—
609C23—2441no—
610C23—2441no—
611C23—2441no—
612C23—2441no—
613C23—2441no—
614C23—2441no—
615C23—2441no—
616C23—2441no—
617C23—2441no—
618C23—2441no—
619C23—2441no—
620C23—2441no—
621C23—2441no—
622C23C22×C22⋊D6111yescharacteristic
623D4—22no—
624D4—22no—
625D4—22no—
626D4—1222no—
627D4—1222no—
628D4—4884no—
629D4—4884no—
630D4—2441no—
631D4—2441no—
632D4—2441no—
633D4—2441no—
634D4—2441no—
635D4—2441no—
636D4#1451976214yescomplemented
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—48no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—84no—
663C2×C4—84no—
664C2×C4—4884no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4C2×#1175819912yes—
672C2×C4C2×#1175819912yes—
673C2×C4C2×#1175819912yes—
674C2×C4C2×D4×D6111yescharacteristic
675C2×C4C2×#1175822211yescharacteristic
676C2×C4C2×#1175822211yescharacteristic
677C2×C4C2×#1175822611yescharacteristic
678C2×C4#1451982211yescharacteristic
679C2×C4#1451982511yescharacteristic
680C8—1222no—
681C8—2441no—
682C8—2441no—
683C8—2441no—
684C22—24no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—4881no—
692C22—4881no—
693C22—4881no—
694C22—4881no—
695C22—4881no—
696C22—4881no—
697C22—4881no—
698C22—4881no—
699C22—4881no—
700C22—4881no—
701C22—4881no—
702C22—2442no—
703C22—2442no—
704C22—2442no—
705C22#1684027311yescharacteristic
706C22D4×C22⋊D6111yescharacteristic
707C22#1684042311yescharacteristic
708C22C22×#1175819911yescharacteristic
709C22#1684056011yescharacteristic
710C22#1684056511yescharacteristic
711C22#1684057011yescharacteristic
712C4—22no—
713C4—22no—
714C4—22no—
715C4—41no—
716C4—41no—
717C4—41no—
718C4—42no—
719C4—81no—
720C4—81no—
721C4—4881no—
722C4—4881no—
723C4C2×#1451976211yescharacteristic
724C4#1684035911yescharacteristic
725C4#1684041311yescharacteristic
726C4#1684046011yescharacteristic
727C2—44no—
728C2—9761no—
729C2—4882no—
730C2#2144955411yescharacteristic
731C2#2145581911yescharacteristic
732C2#2145601811yescharacteristic
733C2#2145734511yescharacteristic
734C2D4×#1175819911yescharacteristic
735C2#2145845411yescharacteristic
736C2#2145857211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingD4×C4⋊C4×C61C2
socleC23×C61C22×D4
prime radicalC2×#16839957C2
hypercenterD4×C4⋊C4D61
hypocenterC61#26158
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11758199C2semidirect
3. #21449584C2semidirect
4. #21447348C2semidirect
5. #21447310C2semidirect
6. #21447223C2semidirect
7. #21447053C2semidirect
8. #21446501C2semidirect
9. #21446378C2semidirect
10. #21446167C2semidirect
11. #21446167C2semidirect
12. #21446167C2semidirect
13. #21446066C2semidirect
14. #21446065C2semidirect
15. D4×C4⋊C4×C61C2semidirect
195. C4⋊C4×C61D8semidirect
257. D4×C61#123semidirect
362. D4×C4⋊C4D61semidirect
429. C61#26158semidirect
583. C4⋊C4#11758199semidirect
636. D4#14519762semidirect

Maximal subgroups

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

subgroupindex
C2×#168399572
C2×C4×#117581992
#214495842
#214473482
#214473102
#214472232
#214470532
#214465012
#214463782
#214461672
#214460662
#214460652
D4×C4⋊C4×C612
#2615861