Finite Group Databasebeta

← #29647662

Subgroups — #29647662

Order 15616.

1298 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459499C211yesmaximal, characteristic
2#21454268C211yesmaximal, characteristic, complemented
3#21444390C211yesmaximal, characteristic, complemented
4#21444373C212yesmaximal, complemented
5#21444360C211yesmaximal, characteristic, complemented
6#21444351C212yesmaximal, complemented
7#21444338C211yesmaximal, characteristic, complemented
8#21444321C212yesmaximal, complemented
9#21444308C211yesmaximal, characteristic, complemented
10C2×#16839498C212yesmaximal, complemented
11C61×#2339C211yesmaximal, characteristic, complemented
12C2×#14519824C411yescharacteristic, complemented
13C2×#14519784—21no—
14Q8×C22⋊D61—21no—
15#16840419—21no—
16#16840411—21no—
17#16840411—22no—
18#16840406—21no—
19#16840406—22no—
20#16840340C412yescomplemented
21#16840340C411yescharacteristic, complemented
22#16840333C412yescomplemented
23#16840333C411yescharacteristic, complemented
24#16840273C2211yescharacteristic
25#16840273C2212yes—
26C2×#14519756C2211yescharacteristic
27C2×#14519756C2212yes—
28#16840245C411yescharacteristic, complemented
29#16839729—22no—
30#16839729—21no—
31#16839726C2211yescharacteristic
32#16839726C2212yes—
33C2×C22⋊#92418C2212yes—
34C2×C22⋊#92418C2211yescharacteristic
35#16839498C2212yes—
36#16839498C2212yes—
37#16839498C2212yes—
38#16839498C2212yes—
39#16839498C2211yescharacteristic
40#16839498C2212yes—
41#16839498C2211yescharacteristic
42#16839495C2212yes—
43#16839495C2211yescharacteristic
44#16839495C2211yescharacteristic
45C22×#41×C61C2211yescharacteristic
46C2×C4×D4×C61—21no—
47C61×#391—21no—
48C61×#386—22no—
49C61×#381C2212yes—
50C61×#380C2211yescharacteristic
51C4×C22⋊C4×C61C2211yescharacteristic
52C2×#95×C61C2212yes—
53#14519824—44no—
54C2×#11758222C2×C412yescomplemented
55C2×#11758222C2×C411yescharacteristic, complemented
56C2×#11758224—22no—
57C2×#11758224—21no—
58C22×Dic122C2×C412yescomplemented
59C22×Dic122C2×C411yescharacteristic, complemented
60C2×Q8×D61—21no—
61#14519784—44no—
62C2×#11758194—22no—
63C2×#11758194—21no—
64C22×#92418—22no—
65C22×#92418—21no—
66#14519775—21no—
67#14519775—22no—
68#14519764—21no—
69#14519764—22no—
70#14519760—22no—
71#14519760—21no—
72#14519758—22no—
73#14519758—22no—
74#14519758—22no—
75#14519756—21no—
76#14519756—22no—
77#14519756—21no—
78#14519756—22no—
79#14519756C2×C412yescomplemented
80#14519756C2×C412yescomplemented
81#14519756C2×C412yescomplemented
82#14519756C2×C411yescharacteristic, complemented
83#14519756C2×C412yescomplemented
84#14519756C2312yes—
85#14519756C2311yescharacteristic
86#14519753—21no—
87#14519753—22no—
88#14519751C2×C411yescharacteristic, complemented
89#14519751C2×C412yescomplemented
90#14519751C2311yescharacteristic
91#14519749—22no—
92#14519749—22no—
93#14519749—22no—
94#14519748—21no—
95#14519748—22no—
96#14519746—22no—
97#14519746—21no—
98Q8×Dic61—21no—
99D4×Dic61—22no—
100D4×Dic61—21no—
101C4×C22⋊D61—21no—
102C4×C22⋊D61—22no—
103C4×C22⋊D61—21no—
104C4×C22⋊D61—22no—
105#14519736C2×C411yescharacteristic, complemented
106#14519736C2×C412yescomplemented
107C2×C4⋊Dic61C2×C411yescharacteristic, complemented
108C2×C4⋊Dic61C2×C412yescomplemented
109C2×#11758196—22no—
110C2×#11758196—21no—
111C2×C22⋊Dic61—22no—
112C2×C22⋊Dic61—21no—
113C22⋊#92418—21no—
114C22⋊#92418—22no—
115C22⋊#92418—21no—
116C22⋊#92418—22no—
117C22⋊#92418C2311yescharacteristic
118C22⋊#92418C2312yes—
119C22⋊#92418C2311yescharacteristic
120C2×#41×C61—44no—
121C2×#41×C61C2×C411yescharacteristic
122C2×#41×C61C2×C411yescharacteristic
123C2×#41×C61C2×C412yes—
124C2×#41×C61D411yescharacteristic
125C2×#41×C61D412yes—
126C2×#41×C61D411yescharacteristic
127C22×Q8×C61D411yescharacteristic
128C22×D4×C61D411yescharacteristic
129C22×D4×C61D412yes—
130C23×C4×C61—22no—
131C23×C4×C61C2312yes—
132C23×C4×C61C2311yescharacteristic
133C4×D4×C61—44no—
134C2×C4⋊C4×C61—21no—
135C2×C22⋊C4×C61—21no—
136C2×C22⋊C4×C61—22no—
137C2×C22⋊C4×C61—21no—
138C2×C42×C61—21no—
139#95×C61—22no—
140#95×C61—22no—
141#95×C61C2311yescharacteristic
142#95×C61C2312yes—
143#95×C61C2311yescharacteristic
144C24×C61C2×D412yes—
145C24×C61C2×D411yescharacteristic
146#41×C61—24no—
147#41×C61—24no—
148#41×C61—44no—
149#41×C61—44no—
150#41×C61—42no—
151#41×C61—42no—
152C2×Q8×C61—42no—
153C2×Q8×C61C22⋊C411yescharacteristic
154C2×Q8×C61C22⋊C411yescharacteristic
155C2×Q8×C61C22⋊C412yes—
156C2×D4×C61—24no—
157C2×D4×C61—44no—
158C2×D4×C61C22⋊C412yes—
159C2×D4×C61C22⋊C411yescharacteristic
160C2×D4×C61C22⋊C412yes—
161C2×D4×C61C22⋊C412yes—
162C2×D4×C61C22⋊C412yes—
163C2×D4×C61C22⋊C412yes—
164C2×D4×C61C22⋊C411yescharacteristic
165C22×C4×C61—21no—
166C22×C4×C61—21no—
167C22×C4×C61—22no—
168C22×C4×C61—42no—
169C22×C4×C61—44no—
170C22×C4×C61—44no—
171C22×C4×C61—44no—
172C22×C4×C61—82no—
173C22×C4×C61C22×C412yes—
174C22×C4×C61C22×C411yescharacteristic
175C22×C4×C61C22×C412yes—
176C22×C4×C61C22×C411yescharacteristic
177C22×C4×C61C2×D411yescharacteristic
178C22×C4×C61C2×D412yes—
179C22×C4×C61C2×D411yescharacteristic
180C22×C4×C61C2×D412yes—
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61C2×D412yes—
183C22×C4×C61C2411yescharacteristic
184C2×C22⋊D61—21no—
185C2×C22⋊D61—22no—
186C2×C22⋊D61—21no—
187C2×C22⋊D61—21no—
188C2×C22⋊D61—22no—
189C22×Dic61—21no—
190C22×Dic61—22no—
191C22×Dic61—21no—
192C22×Dic61—22no—
193Q8×D61—44no—
194#11758224—48no—
195#11758224—44no—
196#11758222—44no—
197#11758222—42no—
198C2×D244C22×C411yescharacteristic
199C2×C4×D61—22no—
200C2×C4×D61—21no—
201C2×Dic122—22no—
202C2×Dic122—21no—
203C2×Dic122—44no—
204C2×Dic122—42no—
205C2×Dic122C22×C411yescharacteristic
206C2×Dic122C22×C412yes—
207C4⋊C4×C61—42no—
208C22⋊C4×C61—42no—
209C22⋊C4×C61—44no—
210C22⋊C4×C61—81no—
211C42×C61—42no—
212C22⋊Dic61—22no—
213C22⋊Dic61—22no—
214C22⋊Dic61—22no—
215C22⋊Dic61—21no—
216C22⋊Dic61—22no—
217C22⋊Dic61—21no—
218C22⋊Dic61—22no—
219C22⋊Dic61—21no—
220C22⋊Dic61—22no—
221#11758198—21no—
222#11758198—22no—
223#11758198—21no—
224C4⋊Dic61—22no—
225C4⋊Dic61—21no—
226C4⋊Dic61C22×C412yes—
227C4⋊Dic61C22×C411yescharacteristic
228C4⋊Dic61C22×C411yescharacteristic
229#11758196—22no—
230#11758196—22no—
231#11758196—22no—
232#11758196—21no—
233#11758196—22no—
234#11758196—21no—
235#11758196—22no—
236C4×Dic61—22no—
237C4×Dic61—21no—
238#11758194—44no—
239#11758194—42no—
240C2×#92418—21no—
241C2×#92418—21no—
242C2×#92418—22no—
243C2×#92418—44no—
244C2×#92418—42no—
245C23×C61—22no—
246C23×C61—22no—
247C23×C61—24no—
248C23×C61—21no—
249C23×C61—21no—
250C23×C61—42no—
251C23×C61—41no—
252C23×C61—41no—
253C23×C61C2×C22⋊C411yescharacteristic
254C23×C61C2×C22⋊C412yes—
255C23×C61C2×C22⋊C411yescharacteristic
256C23×C61C2×C22⋊C412yes—
257C23×C61C22×D411yescharacteristic
258C22×D61—21no—
259Q8×C61—22no—
260Q8×C61—22no—
261Q8×C61—42no—
262D4×C61—24no—
263D4×C61—24no—
264D4×C61—24no—
265D4×C61—22no—
266D4×C61—42no—
267D4×C61—42no—
268D4×C61#9914yes—
269C2×C4×C61—24no—
270C2×C4×C61—24no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—22no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—42no—
278C2×C4×C61—42no—
279C2×C4×C61—42no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—41no—
284C2×C4×C61—42no—
285C2×C4×C61—41no—
286C2×C4×C61—42no—
287C2×C4×C61—42no—
288C2×C4×C61—41no—
289C2×C4×C61—88no—
290C2×C4×C61C2×C22⋊C412yes—
291C2×C4×C61C2×C22⋊C411yescharacteristic
292C2×C4×C61C2×C22⋊C412yes—
293C2×C4×C61C2×C22⋊C411yescharacteristic
294C2×C4×C61C23×C411yescharacteristic
295C2×C4×C61C22×D411yescharacteristic
296C22⋊D61—42no—
297C22⋊D61—41no—
298C22⋊D61—41no—
299C22⋊D61—44no—
300C22⋊D61—82no—
301C22⋊D61—81no—
302C2×Dic61—21no—
303C2×Dic61—22no—
304C2×Dic61—21no—
305C2×Dic61—21no—
306C2×Dic61—22no—
307C2×Dic61—42no—
308C2×Dic61—44no—
309C2×Dic61—82no—
310C2×Dic61—81no—
311D244—41no—
312C4×D61—44no—
313C4×D61—42no—
314Dic122—44no—
315Dic122—42no—
316Dic122—41no—
317Dic122—42no—
318#92418—41no—
319#92418—42no—
320#92418—41no—
321#17608—611nomaximal, Sylow
322C22×C61—21no—
323C22×C61—22no—
324C22×C61—22no—
325C22×C61—21no—
326C22×C61—21no—
327C22×C61—21no—
328C22×C61—22no—
329C22×C61—22no—
330C22×C61—21no—
331C22×C61—21no—
332C22×C61—21no—
333C22×C61—22no—
334C22×C61—21no—
335C22×C61—44no—
336C22×C61—44no—
337C22×C61—81no—
338C22×C61—81no—
339C22×C61C2×#9914yes—
340C22×C61C22×C22⋊C411yescharacteristic
341C22×C61#57711yescharacteristic
342C22×C61#57811yescharacteristic
343C2×D61—41no—
344C2×D61—41no—
345C2×D61—41no—
346C4×C61—21no—
347C4×C61—21no—
348C4×C61—22no—
349C4×C61—21no—
350C4×C61—22no—
351C4×C61—42no—
352C4×C61—81no—
353C4×C61—82no—
354C4×C61C2×#9912yes—
355Dic61—41no—
356Dic61—42no—
357Dic61—41no—
358Dic61—41no—
359Dic61—42no—
360#3489—611no—
361#2880—611no—
362#2339D6111yescharacteristic, complemented
363#1520—611no—
364#1516—612no—
365#1513—611no—
366#1511—612no—
367#1508—611no—
368#1504—612no—
369#1501—611no—
370C2×#328—612no—
371C2×C61—21no—
372C2×C61—21no—
373C2×C61—24no—
374C2×C61—42no—
375C2×C61—41no—
376C2×C61—41no—
377C2×C61C22×#9911yescharacteristic
378C2×C61#289811yescharacteristic
379C2×C61#290111yescharacteristic
380D61—81no—
381C2×2−1+4—611no—
382C22×#41C2×D6111yescharacteristic
383C2×#131—1221no—
384D4×Q8—1221no—
385#548—1221no—
386#547—1221no—
387#547—1222no—
388#546—1221no—
389#546—1222no—
390#537—612no—
391#537—611no—
392#536—611no—
393#536—612no—
394#525—611no—
395#525—612no—
396C2×C22⋊Q8—612no—
397C2×C22⋊Q8—611no—
398#520—611no—
399C2×C4×D4—21no—
400#408—1222no—
401#408—1221no—
402#407—612no—
403#407—611no—
404C2×C22⋊C8—612no—
405C2×C22⋊C8—611no—
406#391—21no—
407#386—22no—
408#381C2×D6112yes—
409#380C2×D6111yescharacteristic
410C4×C22⋊C4C2×D6111yescharacteristic
411C2×#95C2×D6112yes—
412#328—611no—
413#328—612no—
414#328—612no—
415#328—612no—
416#328—611no—
417#328—612no—
418#328—612no—
419#327—611no—
420#327—611no—
421#327—612no—
422C61#1760811yescharacteristic, complemented, Sylow
4232−1+4—2444no—
424C2×#41—44no—
425C2×#41—612no—
426C2×#41—611no—
427C2×#41—1222no—
428C2×#41—1221no—
429C2×#41C4×D6111yescharacteristic
430C2×#41C4×D6112yes—
431C2×#41C4×D6111yescharacteristic
432C2×#41D24411yescharacteristic
433C2×#41D24412yes—
434C2×#41D24411yescharacteristic
435C22×Q8—611no—
436C22×Q8—612no—
437C22×Q8—1221no—
438C22×Q8C22⋊D6111yescharacteristic
439C22×D4C22⋊D6111yescharacteristic
440C22×D4C22⋊D6112yes—
441C23×C4—22no—
442C23×C4C22×D6112yes—
443C23×C4C22×D6111yescharacteristic
444#131—2444no—
445C2×M16—1222no—
446C2×M16—1221no—
447C22×C8—1222no—
448C22×C8—1221no—
449C4⋊Q8—1221no—
450C4⋊Q8—1222no—
451#124—1221no—
452#124—1222no—
453#123—1222no—
454#123—1222no—
455#123—1222no—
456#123—1222no—
457#123—1221no—
458C22⋊Q8—612no—
459C22⋊Q8—612no—
460C22⋊Q8—612no—
461C22⋊Q8—611no—
462C22⋊Q8—612no—
463C22⋊Q8—611no—
464C22⋊Q8—612no—
465C22⋊Q8—1221no—
466C22⋊Q8—1222no—
467C22⋊Q8—1221no—
468C22⋊Q8—1222no—
469C22⋊Q8—1221no—
470C22⋊Q8—1222no—
471#121—611no—
472#121—612no—
473#121—611no—
474#121—1222no—
475#121—1222no—
476#121—1222no—
477#121—1221no—
478#121—1222no—
479#120—1222no—
480#120—1221no—
481C4×Q8—1221no—
482C4×D4—44no—
483C4×D4—1222no—
484C4×D4—1221no—
485C4×D4—1221no—
486C4×D4—1222no—
487C4×D4—1221no—
488C4×D4—1222no—
489#117—611no—
490#117—612no—
491C2×C4⋊C4—21no—
492C2×C4⋊C4—612no—
493C2×C4⋊C4—611no—
494C2×C4⋊C4—1222no—
495C2×C4⋊C4—1221no—
496C2×C22⋊C4—22no—
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—1222no—
500C2×C22⋊C4—1221no—
501C2×C42—21no—
502C22⋊C8—611no—
503C22⋊C8—611no—
504C22⋊C8—612no—
505C22⋊C8—1221no—
506C22⋊C8—1222no—
507C22⋊C8—1221no—
508C22⋊C8—1222no—
509#95—22no—
510#95—22no—
511#95C22×D6111yescharacteristic
512#95C22×D6112yes—
513#95C22×D6111yescharacteristic
514C24C2×C22⋊D6112yes—
515C24C2×C22⋊D6111yescharacteristic
516#41—24no—
517#41—24no—
518#41—44no—
519#41—44no—
520#41—42no—
521#41—42no—
522#41—2444no—
523#41—2442no—
524#41—2448no—
525#41—2444no—
526C2×Q8—42no—
527C2×Q8—612no—
528C2×Q8—611no—
529C2×Q8—1222no—
530C2×Q8—1221no—
531C2×Q8—2442no—
532C2×Q8—2444no—
533C2×Q8—2444no—
534C2×Q8#1175819811yescharacteristic
535C2×Q8#1175819811yescharacteristic
536C2×Q8#1175819812yes—
537C2×D4—24no—
538C2×D4—44no—
539C2×D4—611no—
540C2×D4—1221no—
541C2×D4—1222no—
542C2×D4—1221no—
543C2×D4—1221no—
544C2×D4—1222no—
545C2×D4#1175819812yes—
546C2×D4#1175819812yes—
547C2×D4#1175819812yes—
548C2×D4#1175819811yescharacteristic
549C2×D4#1175819812yes—
550C2×D4#1175819812yes—
551C2×D4#1175819811yescharacteristic
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—22no—
555C22×C4—42no—
556C22×C4—44no—
557C22×C4—44no—
558C22×C4—44no—
559C22×C4—82no—
560C22×C4—1221no—
561C22×C4—1222no—
562C22×C4—1221no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1221no—
566C22×C4C2×C4×D6112yes—
567C22×C4C2×C4×D6111yescharacteristic
568C22×C4C2×C4×D6112yes—
569C22×C4C2×C4×D6111yescharacteristic
570C22×C4C2×D24412yes—
571C22×C4C2×D24411yescharacteristic
572C22×C4C2×D24411yescharacteristic
573C22×C4C2×D24412yes—
574C22×C4C2×C22⋊D6111yescharacteristic
575C22×C4C2×C22⋊D6112yes—
576C22×C4C23×D6111yescharacteristic
577M16—2444no—
578M16—2442no—
579C2×C8—1221no—
580C2×C8—1221no—
581C2×C8—1222no—
582C2×C8—2444no—
583C2×C8—2442no—
584C4⋊C4—42no—
585C4⋊C4—611no—
586C4⋊C4—612no—
587C4⋊C4—611no—
588C4⋊C4—1221no—
589C4⋊C4—1222no—
590C4⋊C4—1222no—
591C4⋊C4—1221no—
592C4⋊C4—1222no—
593C4⋊C4—1222no—
594C4⋊C4—1222no—
595C4⋊C4—1221no—
596C4⋊C4—1222no—
597C22⋊C4—42no—
598C22⋊C4—44no—
599C22⋊C4—81no—
600C22⋊C4—1221no—
601C22⋊C4—1222no—
602C22⋊C4—1222no—
603C22⋊C4—1222no—
604C22⋊C4—1222no—
605C22⋊C4—1221no—
606C22⋊C4—1222no—
607C22⋊C4—1221no—
608C22⋊C4—1222no—
609C22⋊C4—1221no—
610C22⋊C4—1221no—
611C22⋊C4—1222no—
612C42—42no—
613C42—1222no—
614C42—1221no—
615C23—24no—
616C23—22no—
617C23—22no—
618C23—21no—
619C23—21no—
620C23—42no—
621C23—41no—
622C23—41no—
623C23—1221no—
624C23C2×#1175819811yescharacteristic
625C23C2×#1175819812yes—
626C23C2×#1175819811yescharacteristic
627C23C2×#1175819812yes—
628C23C22×C22⋊D6111yescharacteristic
629Q8—22no—
630Q8—22no—
631Q8—42no—
632Q8—2442no—
633Q8—2441no—
634Q8—2444no—
635Q8—2442no—
636D4—24no—
637D4—24no—
638D4—24no—
639D4—22no—
640D4—42no—
641D4—42no—
642D4—4882no—
643D4—4881no—
644D4—2441no—
645D4—2442no—
646D4—2444no—
647D4—2441no—
648D4—2441no—
649D4#1451969114yes—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—88no—
671C2×C4—1221no—
672C2×C4—1222no—
673C2×C4—1221no—
674C2×C4—1222no—
675C2×C4—1221no—
676C2×C4—4882no—
677C2×C4—4881no—
678C2×C4—2444no—
679C2×C4—2442no—
680C2×C4—2444no—
681C2×C4—2442no—
682C2×C4C2×#1175819812yes—
683C2×C4C2×#1175819811yescharacteristic
684C2×C4C2×#1175819812yes—
685C2×C4C2×#1175819811yescharacteristic
686C2×C4C22×C4×D6111yescharacteristic
687C2×C4C22×D24411yescharacteristic
688C8—2441no—
689C8—2442no—
690C8—2441no—
691C22—22no—
692C22—21no—
693C22—22no—
694C22—21no—
695C22—22no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—22no—
700C22—21no—
701C22—21no—
702C22—21no—
703C22—22no—
704C22—44no—
705C22—44no—
706C22—81no—
707C22—81no—
708C22—2441no—
709C22—2441no—
710C22—2441no—
711C22C2×#1451969114yes—
712C22C22×#1175819811yescharacteristic
713C22#1684057311yescharacteristic
714C22#1684057711yescharacteristic
715C4—21no—
716C4—21no—
717C4—22no—
718C4—21no—
719C4—22no—
720C4—42no—
721C4—81no—
722C4—82no—
723C4—2441no—
724C4—2441no—
725C4—2442no—
726C4—2442no—
727C4—2441no—
728C4C2×#1451969112yes—
729C2—21no—
730C2—21no—
731C2—24no—
732C2—42no—
733C2—41no—
734C2—41no—
735C2—4881no—
736C2C22×#1451969111yescharacteristic
737C2#2145434911yescharacteristic
738C2#2145436711yescharacteristic
subgroupG/H
centerC22C22×#11758198
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2339C2
socleC22×C61C22×C22⋊C4
prime radical#21459499C2
cosocleC22×C4×C61C24
hypercenter#2339D61
hypocenterC61#17608
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×#41 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #21454268C2semidirect
3. #21444390C2semidirect
4. #21444373C2semidirect
5. #21444360C2semidirect
6. #21444351C2semidirect
7. #21444338C2semidirect
8. #21444321C2semidirect
9. #21444308C2semidirect
10. C2×#16839498C2semidirect
11. C61×#2339C2semidirect
12. C2×#14519824C4semidirect
20. #16840340C4semidirect
21. #16840340C4semidirect
22. #16840333C4semidirect
23. #16840333C4semidirect
28. #16840245C4semidirect
54. C2×#11758222C2×C4semidirect
55. C2×#11758222C2×C4semidirect
58. C22×Dic122C2×C4semidirect
59. C22×Dic122C2×C4semidirect
79. #14519756C2×C4semidirect
80. #14519756C2×C4semidirect
81. #14519756C2×C4semidirect
82. #14519756C2×C4semidirect
83. #14519756C2×C4semidirect
88. #14519751C2×C4semidirect
89. #14519751C2×C4semidirect
105. #14519736C2×C4semidirect
106. #14519736C2×C4semidirect
107. C2×C4⋊Dic61C2×C4semidirect
108. C2×C4⋊Dic61C2×C4semidirect
362. #2339D61semidirect
422. C61#17608semidirect

Maximal subgroups

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

subgroupindex
#214594992
#214542682
#214443902
#214443732
#214443602
#214443512
#214443382
#214443212
#214443082
C2×#168394982
C61×#23392
#1760861