Finite Group Databasebeta

← #29740050

Subgroups — #29740050

Order 15616.

986 conjugacy classes of subgroups.

The subgroup lattice has 732 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#21447343C211yesmaximal, characteristic, complemented
5#21447315C211yesmaximal, characteristic, complemented
6#21447233C211yesmaximal, 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#21446080C211yesmaximal, characteristic, complemented
14#21446079C211yesmaximal, characteristic, complemented
15C61×#2349C211yesmaximal, characteristic, complemented
16C22×#11758199C2211yescharacteristic
17C22×#11758199C2211yescharacteristic
18C2×#14519774C2211yescharacteristic
19C2×#14519762—21no—
20C2×C4×D244C2211yescharacteristic
21#16839957—24no—
22C4×#11758199—24no—
23C2×#14519710C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
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
53C61×#389C2211yescharacteristic
54C61×#389C2211yescharacteristic
55C61×#385—21no—
56C61×#385—21no—
57C61×#382C2211yescharacteristic
58C61×#380—21no—
59C4×C4⋊C4×C61C2211yescharacteristic
60C2×#95×C61—21no—
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#14519708—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×C61D411yescharacteristic
117C2×C4⋊C4×C61D411yescharacteristic
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C22⋊C4×C61—21no—
122C2×C22⋊C4×C61—21no—
123C2×C22⋊C4×C61—21no—
124C2×C42×C61C2311yescharacteristic
125C2×C42×C61C2311yescharacteristic
126C2×C42×C61C2311yescharacteristic
127#95×C61—21no—
128#95×C61—21no—
129#95×C61—21no—
130#95×C61—21no—
131#95×C61D411yescharacteristic
132#95×C61D411yescharacteristic
133C24×C61—21no—
134C23×D61—21no—
135C23×D61—21no—
136C2×D4×C61—21no—
137C2×D4×C61—21no—
138C2×D4×C61—21no—
139C2×D4×C61C2×D412yes—
140C2×D4×C61#4112yes—
141C2×D4×C61#4112yes—
142C22×C4×C61—21no—
143C22×C4×C61—24no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—42no—
147C22×C4×C61—42no—
148C22×C4×C61—42no—
149C22×C4×C61—42no—
150C22×C4×C61—81no—
151C22×C4×C61—81no—
152C22×C4×C61—81no—
153C22×C4×C61—81no—
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2411yescharacteristic
161C22×Dic61—21no—
162C22×Dic61—21no—
163C2×D244—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—42no—
175C2×D244—42no—
176C2×D244—42no—
177C2×D244—42no—
178C2×D244—81no—
179C2×D244—81no—
180C2×D244C2×D412yes—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—81no—
184C4⋊C4×C61—22no—
185C4⋊C4×C61—22no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—81no—
192C4⋊C4×C61—81no—
193C4⋊C4×C61#4112yes—
194C22⋊C4×C61—24no—
195C22⋊C4×C61—42no—
196C22⋊C4×C61—42no—
197C42×C61—21no—
198C42×C61—21no—
199C42×C61—21no—
200C42×C61—21no—
201C42×C61—21no—
202C42×C61—21no—
203#11758199—28no—
204#11758199—44no—
205#11758198—42no—
206#11758198—42no—
207#11758198—42no—
208#11758198—42no—
209#11758198—81no—
210#11758198—81no—
211#11758198—81no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216#11758196—42no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
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×#92418C2×D412yes—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61C22×D411yescharacteristic
237C22×D61—22no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—41no—
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—
251D4×C61—22no—
252D4×C61—22no—
253D4×C61—22no—
254D4×C61#12314yescomplemented
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—22no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
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—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—84no—
281C2×C4×C61—84no—
282C2×C4×C61—84no—
283C2×C4×C61#13512yes—
284C2×C4×C61AGL(1,ℤ/8)12yes—
285C2×C4×C61C22×D411yescharacteristic
286C2×C4×C61C2×#4111yescharacteristic
287C2×C4×C61C2×#4111yescharacteristic
288C2×C4×C61C2×#4111yescharacteristic
289C2×C4×C61H(5,𝔽2)11yescharacteristic
290C2×C4×C612−1+411yescharacteristic
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297D244—22no—
298D244—22no—
299D244—41no—
300D244—41no—
301D244—41no—
302D244—41no—
303D244—41no—
304D244—41no—
305D244—84no—
306D244—84no—
307C4×D61—84no—
308#92418—22no—
309#92418—41no—
310#92418—41no—
311#92418—41no—
312#26162—611nomaximal, Sylow
313C22×C61—24no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61#52511yescharacteristic
321C22×C61D4211yescharacteristic
322C22×C61#54811yescharacteristic
323C22×C61C2×#13511yescharacteristic
324C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
325C22×C61#57611yescharacteristic
326C22×C61#57611yescharacteristic
327C2×D61—42no—
328C2×D61—42no—
329C2×D61—42no—
330C2×D61—81no—
331C2×D61—81no—
332C2×D61—81no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61—81no—
336C2×D61—81no—
337C2×D61—81no—
338C2×D61—81no—
339C2×D61—81no—
340C2×D61—81no—
341C4×C61—22no—
342C4×C61—22no—
343C4×C61—41no—
344C4×C61—41no—
345C4×C61—42no—
346C4×C61—41no—
347C4×C61—41no—
348C4×C61—81no—
349C4×C61—81no—
350C4×C61C2×#12311yescharacteristic
351C4×C61#53911yescharacteristic
352C4×C61#54711yescharacteristic
353C4×C61#55311yescharacteristic
354Dic61—81no—
355Dic61—81no—
356C2×#459—611no—
357C2×C4×D8—611no—
358#2445—611no—
359#2349D6111yescharacteristic, complemented
360#2092—611no—
361#2087—611no—
362#2073—611no—
363#2041—611no—
364#1934—611no—
365#1916—611no—
366#1879—611no—
367#1879—611no—
368#1879—611no—
369#1864—611no—
370#1864—611no—
371C2×C61—44no—
372C2×C61#244311yescharacteristic
373C2×C61#310611yescharacteristic
374C2×C61#312211yescharacteristic
375C2×C61#326411yescharacteristic
376C2×C61#328011yescharacteristic
377C2×C61#336111yescharacteristic
378C2×C61#336611yescharacteristic
379D61—82no—
380D61—161no—
381C22×D8—611no—
382C22×D8—611no—
383C2×#127—611no—
384C2×#123—1221no—
385C2×C4×D4—611no—
386C2×C4×D4C2×D6111yescharacteristic
387C2×C4×D4C2×D6111yescharacteristic
388C2×C4×D4C2×D6111yescharacteristic
389#459—1224no—
390C4×D8—1224no—
391C2×#107—611no—
392C2×#106—611no—
393C2×C4⋊C8—611no—
394C2×#102—611no—
395C2×#102—611no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#102—611no—
401C2×#102—611no—
402C2×C4×C8—611no—
403#394—1221no—
404#394—1221no—
405#390—611no—
406#390—611no—
407#390—611no—
408#389—611no—
409#389C2×D6111yescharacteristic
410#389C2×D6111yescharacteristic
411#386—1221no—
412#385—21no—
413#385—21no—
414#382C2×D6111yescharacteristic
415#380—21no—
416C4×C4⋊C4C2×D6111yescharacteristic
417C2×#95—21no—
418#340—611no—
419#340—611no—
420#340—611no—
421#340—611no—
422#336—611no—
423#336—611no—
424#336—611no—
425#336—611no—
426C61#2616211yescharacteristic, complemented, Sylow
427C22×D4—611no—
428C22×D4—611no—
429C22×D4—1221no—
430C22×D4—1221no—
431C22×D4C22×D6111yescharacteristic
432C23×C4—21no—
433C23×C4—21no—
434C23×C4—21no—
435C23×C4—1221no—
436C2×D8—614no—
437C2×D8—1222no—
438C2×D8—1222no—
439C2×D8—1222no—
440C2×D8—1222no—
441C2×D8—1222no—
442C22×C8—611no—
443C22×C8—611no—
444C22×C8—611no—
445C22×C8—611no—
446#127—1222no—
447#127—2441no—
448#123—2444no—
449C4×D4—22no—
450C4×D4—22no—
451C4×D4—22no—
452C4×D4—22no—
453C4×D4—41no—
454C4×D4—41no—
455C4×D4—1222no—
456C4×D4—2441no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4C22⋊D6111yescharacteristic
463C2×C4⋊C4C22⋊D6111yescharacteristic
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C4⋊C4C22×D6111yescharacteristic
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C42C22×D6111yescharacteristic
478C2×C42C22×D6111yescharacteristic
479C2×C42C22×D6111yescharacteristic
480#107—1222no—
481#106—2441no—
482C4⋊C8—1222no—
483#102—1222no—
484#102—1222no—
485#102—1222no—
486#102—1222no—
487#102—1222no—
488#102—1222no—
489#102—1222no—
490#102—2441no—
491C4×C8—1222no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—21no—
496#95—1221no—
497#95C22⋊D6111yescharacteristic
498#95C22⋊D6111yescharacteristic
499C24—21no—
500C24—1221no—
501C24—1221no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—612no—
506C2×D4—1221no—
507C2×D4—1221no—
508C2×D4—1221no—
509C2×D4—1221no—
510C2×D4—1221no—
511C2×D4—1221no—
512C2×D4—1221no—
513C2×D4—1221no—
514C2×D4—1221no—
515C2×D4—1221no—
516C2×D4—1221no—
517C2×D4—4881no—
518C2×D4—4881no—
519C2×D4—2442no—
520C2×D4—2442no—
521C2×D4—2442no—
522C2×D4—2442no—
523C2×D4#1175822212yes—
524C2×D4D4×D6112yes—
525C2×D4#1175822612yes—
526C22×C4—21no—
527C22×C4—24no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—81no—
535C22×C4—81no—
536C22×C4—81no—
537C22×C4—81no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—4881no—
541C22×C4—2442no—
542C22×C4—2442no—
543C22×C4C2×C22⋊D6111yescharacteristic
544C22×C4C2×C22⋊D6111yescharacteristic
545C22×C4C2×C22⋊D6111yescharacteristic
546C22×C4C2×C22⋊D6111yescharacteristic
547C22×C4C2×C22⋊D6111yescharacteristic
548C22×C4C2×C22⋊D6111yescharacteristic
549C22×C4C23×D6111yescharacteristic
550D8—1228no—
551D8—2444no—
552C2×C8—612no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C4⋊C4—21no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—81no—
572C4⋊C4—81no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—2442no—
578C4⋊C4#1175822212yes—
579C22⋊C4—24no—
580C22⋊C4—42no—
581C22⋊C4—42no—
582C22⋊C4—4881no—
583C22⋊C4—4881no—
584C22⋊C4—4881no—
585C22⋊C4—2442no—
586C22⋊C4—2442no—
587C22⋊C4—2442no—
588C22⋊C4—2442no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42—21no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—1222no—
603C23—2441no—
604C23—2441no—
605C23—2441no—
606C23—2441no—
607C23—2441no—
608C23—2441no—
609C23—2441no—
610C23—2441no—
611C23—2441no—
612C23—2441no—
613C23—2441no—
614C23—2441no—
615C23—2441no—
616C23C22×C22⋊D6111yescharacteristic
617D4—22no—
618D4—22no—
619D4—22no—
620D4—1222no—
621D4—1222no—
622D4—4884no—
623D4—4884no—
624D4—2441no—
625D4—2441no—
626D4—2441no—
627D4—2441no—
628D4—2441no—
629D4—2441no—
630D4#1451976214yescomplemented
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—84no—
657C2×C4—84no—
658C2×C4—84no—
659C2×C4—4884no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4#1451979712yes—
667C2×C4#1451980212yes—
668C2×C4C2×D4×D6111yescharacteristic
669C2×C4C2×#1175822211yescharacteristic
670C2×C4C2×#1175822211yescharacteristic
671C2×C4C2×#1175822611yescharacteristic
672C2×C4#1451982211yescharacteristic
673C2×C4#1451982511yescharacteristic
674C8—1222no—
675C8—2441no—
676C8—2441no—
677C8—2441no—
678C22—24no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—4881no—
686C22—4881no—
687C22—4881no—
688C22—4881no—
689C22—4881no—
690C22—4881no—
691C22—4881no—
692C22—4881no—
693C22—4881no—
694C22—4881no—
695C22—4881no—
696C22—2442no—
697C22—2442no—
698C22—2442no—
699C22#1684027311yescharacteristic
700C22D4×C22⋊D6111yescharacteristic
701C22#1684042311yescharacteristic
702C22C2×#1451979711yescharacteristic
703C22C2×#1451980211yescharacteristic
704C22#1684056511yescharacteristic
705C22#1684056511yescharacteristic
706C4—22no—
707C4—22no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—42no—
713C4—81no—
714C4—81no—
715C4—4881no—
716C4—4881no—
717C4C2×#1451976211yescharacteristic
718C4#1684035911yescharacteristic
719C4#1684041311yescharacteristic
720C4#1684046011yescharacteristic
721C2—44no—
722C2—9761no—
723C2—4882no—
724C2#2144955411yescharacteristic
725C2#2145587911yescharacteristic
726C2#2145606211yescharacteristic
727C2#2145730011yescharacteristic
728C2#2145750011yescharacteristic
729C2#2145847911yescharacteristic
730C2#2145852611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2349C2
socleC23×C61C22×D4
prime radicalC2×#16839957C2
hypercenter#2349D61
hypocenterC61#26162
LCSG ▷ C22×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
2. C2×C4×#11758199C2semidirect
3. #21449584C2semidirect
4. #21447343C2semidirect
5. #21447315C2semidirect
6. #21447233C2semidirect
7. #21447053C2semidirect
8. #21446501C2semidirect
9. #21446378C2semidirect
10. #21446167C2semidirect
11. #21446167C2semidirect
12. #21446167C2semidirect
13. #21446080C2semidirect
14. #21446079C2semidirect
15. C61×#2349C2semidirect
254. D4×C61#123semidirect
359. #2349D61semidirect
426. C61#26162semidirect
630. 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
#214473432
#214473152
#214472332
#214470532
#214465012
#214463782
#214461672
#214460802
#214460792
C61×#23492
#2616261