Finite Group Databasebeta

← #29832816

Subgroups — #29832816

Order 15616.

1356 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459594C211yesmaximal, characteristic
2#21454277C212yesmaximal, complemented
3#21447489C212yesmaximal, complemented
4#21447488C211yesmaximal, characteristic, complemented
5#21447487C212yesmaximal, complemented
6#21447483C212yesmaximal, complemented
7C2×#16839554C212yesmaximal, complemented
8#353×D61C212yesmaximal, complemented
9C61×#2127C211yesmaximal, characteristic, complemented
10C2×#14519823C411yescharacteristic, complemented
11C2×#14519822C2211yescharacteristic
12#16840430—22no—
13#16840396—22no—
14#16840394—22no—
15#16840394—22no—
16#16840331C411yescharacteristic, complemented
17#16840330C411yescharacteristic, complemented
18#16840330C2211yescharacteristic
19#16840325C411yescharacteristic, complemented
20#16840325C2211yescharacteristic
21#16840311C411yescharacteristic, complemented
22#16840311C2211yescharacteristic
23#16840308C411yescharacteristic, complemented
24C2×#14519773C2211yescharacteristic
25#127×D61C411yescharacteristic, complemented
26#127×D61C2211yescharacteristic
27#16840235—22no—
28#16840230C411yescharacteristic, complemented
29#16839734—22no—
30#16839734C2214yescomplemented
31C2×#14519692C2212yescomplemented
32C2×#14519691—22no—
33#99×D61—22no—
34#99×D61C2214yescomplemented
35#16839557C2212yescomplemented
36#16839555C2212yescomplemented
37#16839554C2214yescomplemented
38#16839554C2214yescomplemented
39C61×#535C2211yescharacteristic
40C2×#99×C61C2212yescomplemented
41C61×#354C2212yescomplemented
42C61×#353C2212yescomplemented
43#14519823—44no—
44#14519822—44no—
45C2×#11758226C2×C411yescharacteristic, complemented
46C2×#11758226C2×C411yescharacteristic, complemented
47C2×#11758222—21no—
48C2×#11758222C2×C411yescharacteristic
49C2×#11758222C2×C411yescharacteristic
50C2×#11758224C2×C411yescharacteristic
51C2×#11758224D412yes—
52C2×#11758224C2311yescharacteristic
53C22×D244—21no—
54C22×D244C2×C411yescharacteristic, complemented
55C22×C22⋊D61—22no—
56C22×C22⋊D61D412yes—
57C22×C22⋊D61D412yes—
58C2×D4×D61—21no—
59C2×D4×D61—21no—
60C2×D4×D61—22no—
61C2×D4×D61—22no—
62C2×D4×D61C2×C411yescharacteristic
63C2×D4×D61C2×C411yescharacteristic, complemented
64C2×D4×D61C2×C411yescharacteristic, complemented
65C2×D4×D61D412yes—
66C2×D4×D61C2311yescharacteristic
67#14519775C2×C411yescharacteristic, complemented
68#14519774C2×C411yescharacteristic, complemented
69#14519774C2×C411yescharacteristic, complemented
70#14519773—22no—
71#14519773—22no—
72#14519773—22no—
73#14519773C2×C411yescharacteristic, complemented
74#14519773C2×C411yescharacteristic, complemented
75#14519773C2×C411yescharacteristic, complemented
76#14519773C2311yescharacteristic
77#14519773C2311yescharacteristic
78#14519766C2×C411yescharacteristic, complemented
79#14519765C2×C411yescharacteristic, complemented
80#14519765C2×C411yescharacteristic, complemented
81#14519764C2×C411yescharacteristic, complemented
82#14519752—22no—
83#14519750—22no—
84#14519750—22no—
85#14519750—22no—
86#14519750—22no—
87#14519749—22no—
88#14519749—22no—
89#14519749—22no—
90#14519747—22no—
91#14519747—22no—
92#14519747—22no—
93#14519745—22no—
94#14519745—22no—
95#14519742—21no—
96#14519739—21no—
97C4×C22⋊D61—22no—
98C4×C22⋊D61—44no—
99#14519737—21no—
100#14519737—21no—
101#14519737—22no—
102#14519737—22no—
103#14519737—44no—
104#14519734C2×C411yescharacteristic, complemented
105#14519734C2×C411yescharacteristic, complemented
106#14519733—24no—
107C2×C22⋊Dic61—22no—
108C22⋊C4×D61—24no—
109C2×C4×Dic61C2×C411yescharacteristic, complemented
110C42×D61C2×C411yescharacteristic, complemented
111C42×D61C2×C411yescharacteristic, complemented
112#14519692—22no—
113#14519692C2314yes—
114#14519691—24no—
115#14519691—24no—
116C2×#41×C61C2×C411yescharacteristic, complemented
117C22×D4×C61C2311yescharacteristic
118#127×C61C2×C411yescharacteristic, complemented
119#127×C61C2311yescharacteristic
120#124×C61C2×C411yescharacteristic, complemented
121#124×C61C2311yescharacteristic
122#121×C61—22no—
123#120×C61—22no—
124#117×C61C2×C411yescharacteristic, complemented
125C2×C22⋊C4×C61—22no—
126#99×C61—22no—
127#99×C61C2314yes—
128C24×C61C2×D412yes—
129C23×D61—21no—
130C23×D61—21no—
131C23×D61—21no—
132C23×D61C22⋊C412yes—
133C23×D61C2×D412yes—
134#41×C61—42no—
135C2×Q8×C61C22×C411yescharacteristic
136C2×D4×C61—21no—
137C2×D4×C61—22no—
138C2×D4×C61—22no—
139C2×D4×C61—42no—
140C2×D4×C61C22×C411yescharacteristic
141C2×D4×C61C22×C411yescharacteristic
142C2×D4×C61C2×D412yes—
143C2×D4×C61C2411yescharacteristic
144C22×C4×C61—21no—
145C22×C4×C61—42no—
146C22×C4×C61C22×C411yescharacteristic
147C2×C22⋊D61—24no—
148C2×C22⋊D61—24no—
149C2×C22⋊D61—22no—
150C2×C22⋊D61—22no—
151C2×C22⋊D61—22no—
152C2×C22⋊D61—22no—
153C2×C22⋊D61—22no—
154C2×C22⋊D61—21no—
155C2×C22⋊D61—21no—
156C2×C22⋊D61—42no—
157C2×C22⋊D61—42no—
158C2×C22⋊D61—84no—
159C2×C22⋊D61C22⋊C411yescharacteristic
160C2×C22⋊D61C22⋊C412yes—
161C2×C22⋊D61C22⋊C412yes—
162C2×C22⋊D61C22⋊C412yes—
163C2×C22⋊D61C22⋊C411yescharacteristic
164C2×C22⋊D61C2×D412yes—
165C2×C22⋊D61C2×D412yes—
166C22×Dic61—21no—
167C22×Dic61—42no—
168C22×Dic61C22⋊C412yes—
169C22×Dic61C2×D412yes—
170#11758226—42no—
171#11758226—42no—
172#11758224—44no—
173#11758224—42no—
174#11758224—42no—
175D4×D61—42no—
176D4×D61—42no—
177D4×D61—42no—
178D4×D61—42no—
179D4×D61—44no—
180D4×D61—44no—
181D4×D61—44no—
182D4×D61—84no—
183D4×D61—84no—
184#11758222—24no—
185#11758222—44no—
186#11758222—42no—
187C2×D244—21no—
188C2×D244—21no—
189C2×D244—21no—
190C2×D244—22no—
191C2×D244—22no—
192C2×D244—44no—
193C2×D244—42no—
194C2×D244C22⋊C411yescharacteristic
195C2×D244C22×C411yescharacteristic
196C2×D244C22×C411yescharacteristic
197C2×D244C22×C411yescharacteristic
198C2×C4×D61—21no—
199C2×C4×D61—21no—
200C2×C4×D61—21no—
201C2×C4×D61—21no—
202C2×C4×D61—44no—
203C2×C4×D61C22⋊C412yes—
204C2×C4×D61C22×C411yescharacteristic
205C2×C4×D61C22×C411yescharacteristic
206C2×Dic122C22⋊C411yescharacteristic
207C2×Dic122C22×C411yescharacteristic
208C4⋊C4×C61—21no—
209C22⋊C4×C61—21no—
210C22⋊C4×C61—22no—
211C22⋊C4×C61—22no—
212C22⋊C4×C61—24no—
213C22⋊C4×C61—42no—
214C42×C61C22×C411yescharacteristic
215C42×C61C22×C411yescharacteristic
216C22⋊Dic61—22no—
217C22⋊Dic61—24no—
218C22⋊Dic61—42no—
219#11758198—21no—
220#11758198—21no—
221#11758198—22no—
222#11758198—22no—
223#11758198—22no—
224#11758198—44no—
225#11758196—21no—
226#11758196—21no—
227#11758196—22no—
228#11758196—44no—
229C4×Dic61—21no—
230C4×Dic61—21no—
231C4×Dic61—21no—
232C4×Dic61—44no—
233C4×Dic61C22×C411yescharacteristic
234C4×Dic61C22×C411yescharacteristic
235C23×C61—22no—
236C23×C61—22no—
237C23×C61—21no—
238C23×C61—82no—
239C23×C61C2×C22⋊C412yes—
240C23×C61C2×C22⋊C411yescharacteristic
241C23×C61C22×D412yes—
242C22×D61—24no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—42no—
246C22×D61—42no—
247C22×D61—42no—
248C22×D61—42no—
249C22×D61—82no—
250C22×D61—82no—
251C22×D61—82no—
252C22×D61—82no—
253C22×D61—82no—
254C22×D61C2×C22⋊C411yescharacteristic
255C22×D61C2×C22⋊C412yes—
256C22×D61C2×C22⋊C411yescharacteristic
257Q8×C61—41no—
258D4×C61—41no—
259D4×C61—42no—
260D4×C61—41no—
261D4×C61—41no—
262D4×C61—42no—
263D4×C61—82no—
264D4×C61—82no—
265C2×C4×C61—22no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—42no—
270C2×C4×C61—44no—
271C2×C4×C61—162no—
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C23×C411yescharacteristic
274C22⋊D61—22no—
275C22⋊D61—22no—
276C22⋊D61—22no—
277C22⋊D61—24no—
278C22⋊D61—24no—
279C22⋊D61—42no—
280C22⋊D61—42no—
281C22⋊D61—42no—
282C22⋊D61—44no—
283C22⋊D61—44no—
284C22⋊D61—44no—
285C22⋊D61—42no—
286C22⋊D61—82no—
287C22⋊D61—82no—
288C22⋊D61#9914yes—
289C2×Dic61—21no—
290C2×Dic61—24no—
291C2×Dic61—21no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294C2×Dic61—44no—
295C2×Dic61—162no—
296C2×Dic61C2×C22⋊C411yescharacteristic
297C2×Dic61C2×C22⋊C412yes—
298C2×Dic61C2×C22⋊C411yescharacteristic
299D244—22no—
300D244—41no—
301D244—41no—
302D244—41no—
303D244—42no—
304D244—42no—
305D244—42no—
306D244—82no—
307D244—82no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—42no—
311C4×D61—42no—
312C4×D61—42no—
313C4×D61—42no—
314C4×D61—42no—
315C4×D61—164no—
316Dic122—22no—
317Dic122—41no—
318#33359—611nomaximal, Sylow
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—41no—
322C22×C61—42no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—41no—
326C22×C61—82no—
327C22×C61—82no—
328C22×C61C2×#9912yes—
329C22×C61C22×C22⋊C411yescharacteristic
330C2×D61—21no—
331C2×D61—22no—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—41no—
338C2×D61—41no—
339C2×D61—84no—
340C2×D61—162no—
341C2×D61—162no—
342C2×D61—162no—
343C2×D61—162no—
344C2×D61C2×#9912yes—
345C4×C61—21no—
346C4×C61—21no—
347C4×C61—41no—
348C4×C61—41no—
349C4×C61—41no—
350C4×C61—84no—
351Dic61—22no—
352Dic61—21no—
353Dic61—22no—
354Dic61—41no—
355Dic61—84no—
356Dic61C2×#9912yes—
357#3498—611no—
358#2883—612no—
359#2128—612no—
360#2127—612no—
361#2127—611no—
362#2127D6111yescharacteristic, complemented
363#2126—612no—
364C2×#353—612no—
365C2×#353—612no—
366C2×C61—21no—
367C2×C61—22no—
368C2×C61—42no—
369C2×C61—42no—
370C2×C61—81no—
371C2×C61C22×#9911yescharacteristic
372D61—22no—
373D61—42no—
374D61—41no—
375D61—81no—
376D61—81no—
377C2×H(5,𝔽2)—611no—
378C2×H(5,𝔽2)—611no—
379#550—1222no—
380D42—1222no—
381D42—1222no—
382D42—1222no—
383#535—611no—
384#535—611no—
385#535—611no—
386#535—611no—
387#535—611no—
388#535C2×D6111yescharacteristic
389#532—611no—
390#532—611no—
391#532—611no—
392C2×#127—611no—
393C2×#127—611no—
394C2×#127—611no—
395#518—1222no—
396C4×#41—611no—
397#410—614no—
398#410—1222no—
399C2×#99—612no—
400C2×#99—614no—
401C2×#99—1222no—
402C2×#99—1222no—
403C2×#99C2×D6112yescomplemented
404#354—612no—
405#354C2×D6112yescomplemented
406#353—612no—
407#353—614no—
408#353—614no—
409#353C2×D6112yescomplemented
410C61#3335911yescharacteristic, complemented, Sylow
411H(5,𝔽2)—2444no—
412H(5,𝔽2)—2444no—
413C2×#41—611no—
414C2×#41—612no—
415C2×#41—611no—
416C2×#41—611no—
417C2×#41—611no—
418C2×#41—611no—
419C2×#41—611no—
420C2×#41—1221no—
421C2×#41C4×D6111yescharacteristic, complemented
422C22×D4—612no—
423C22×D4—612no—
424C22×D4—611no—
425C22×D4—612no—
426C22×D4—611no—
427C22×D4—611no—
428C22×D4—611no—
429C22×D4—611no—
430C22×D4—1221no—
431C22×D4—1221no—
432C22×D4—1221no—
433C22×D4—1222no—
434C22×D4—1222no—
435C22×D4—1222no—
436C22×D4C22×D6111yescharacteristic
437C4⋊Q8—611no—
438#127—611no—
439#127—611no—
440#127—611no—
441#127—611no—
442#127—611no—
443#127—611no—
444#127—611no—
445#127—1222no—
446#127—1222no—
447#127—1222no—
448#127C4×D6111yescharacteristic, complemented
449#127C22×D6111yescharacteristic
450#124—611no—
451#124—611no—
452#124—611no—
453#124—611no—
454#124C4×D6111yescharacteristic, complemented
455#124C22×D6111yescharacteristic
456#121—22no—
457#121—1222no—
458#121—1222no—
459#121—1222no—
460#121—1222no—
461#121—1222no—
462#121—1222no—
463#121—1222no—
464#121—1222no—
465#120—22no—
466#120—1222no—
467#120—1222no—
468#120—1222no—
469#120—1222no—
470#120—1222no—
471C4×Q8—1221no—
472C4×D4—1222no—
473C4×D4—1222no—
474C4×D4—1221no—
475C4×D4—1221no—
476C4×D4—1221no—
477C4×D4—1222no—
478C4×D4—2444no—
479C4×D4—2444no—
480#117—611no—
481#117—611no—
482#117—1224no—
483#117C4×D6111yescharacteristic, complemented
484C2×C22⋊C4—22no—
485C2×C22⋊C4—1224no—
486C2×C22⋊C4—1222no—
487C2×C42—611no—
488C2×C42—611no—
489C2×C42—611no—
490#99—22no—
491#99—614no—
492#99—1224no—
493#99—1224no—
494#99—1222no—
495#99C22×D6114yes—
496C24—612no—
497C24—612no—
498C24—1221no—
499C24—1221no—
500C24—1221no—
501C24D4×D6112yes—
502#41—42no—
503#41—1224no—
504#41—2442no—
505#41—2444no—
506#41—2442no—
507#41—2442no—
508#41—2444no—
509#41—2442no—
510#41—2442no—
511C2×Q8—611no—
512C2×Q8—611no—
513C2×Q8C2×C4×D6111yescharacteristic
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—42no—
518C2×D4—611no—
519C2×D4—612no—
520C2×D4—612no—
521C2×D4—611no—
522C2×D4—612no—
523C2×D4—612no—
524C2×D4—612no—
525C2×D4—611no—
526C2×D4—611no—
527C2×D4—611no—
528C2×D4—611no—
529C2×D4—1222no—
530C2×D4—1222no—
531C2×D4—1221no—
532C2×D4—1221no—
533C2×D4—1221no—
534C2×D4—1221no—
535C2×D4—1224no—
536C2×D4—1224no—
537C2×D4—1222no—
538C2×D4—1222no—
539C2×D4—1222no—
540C2×D4—1222no—
541C2×D4—1222no—
542C2×D4—1221no—
543C2×D4—4884no—
544C2×D4—4884no—
545C2×D4—4884no—
546C2×D4—2442no—
547C2×D4—2444no—
548C2×D4—2442no—
549C2×D4—2442no—
550C2×D4—2442no—
551C2×D4—2442no—
552C2×D4—2444no—
553C2×D4—2444no—
554C2×D4—2444no—
555C2×D4—2442no—
556C2×D4—2442no—
557C2×D4C2×C4×D6111yescharacteristic
558C2×D4C2×C4×D6111yescharacteristic
559C2×D4D4×D6112yes—
560C2×D4C23×D6111yescharacteristic
561C22×C4—21no—
562C22×C4—42no—
563C22×C4—612no—
564C22×C4—612no—
565C22×C4—611no—
566C22×C4—611no—
567C22×C4—612no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4—1221no—
573C22×C4—2444no—
574C22×C4—2442no—
575C22×C4C2×C4×D6111yescharacteristic
576C4⋊C4—21no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1222no—
580C4⋊C4—2444no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—21no—
584C22⋊C4—24no—
585C22⋊C4—42no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1221no—
589C22⋊C4—1221no—
590C22⋊C4—1222no—
591C22⋊C4—1222no—
592C22⋊C4—1224no—
593C22⋊C4—2444no—
594C22⋊C4—2442no—
595C42—611no—
596C42—611no—
597C42—1221no—
598C42—1221no—
599C42—1221no—
600C42—2444no—
601C42C2×C4×D6111yescharacteristic
602C42C2×C4×D6111yescharacteristic
603C23—22no—
604C23—22no—
605C23—21no—
606C23—82no—
607C23—611no—
608C23—611no—
609C23—612no—
610C23—1224no—
611C23—1221no—
612C23—1221no—
613C23—4882no—
614C23—4882no—
615C23—4882no—
616C23—4882no—
617C23—4882no—
618C23—2442no—
619C23—2442no—
620C23—2442no—
621C23—2442no—
622C23C22⋊C4×D6112yes—
623C23C22⋊C4×D6111yescharacteristic
624C23C2×D4×D6112yes—
625Q8—41no—
626Q8—1222no—
627Q8—2441no—
628D4—41no—
629D4—42no—
630D4—41no—
631D4—41no—
632D4—42no—
633D4—82no—
634D4—82no—
635D4—614no—
636D4—1222no—
637D4—1224no—
638D4—1224no—
639D4—1222no—
640D4—1222no—
641D4—1222no—
642D4—4882no—
643D4—4882no—
644D4—4882no—
645D4—4882no—
646D4—2441no—
647D4—2441no—
648D4—2441no—
649D4—2442no—
650D4—2442no—
651D4—2442no—
652D4—2442no—
653D4—2442no—
654D4—2442no—
655D4—2444no—
656D4—2444no—
657D4—2444no—
658D4—2442no—
659C2×C4—22no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—162no—
666C2×C4—611no—
667C2×C4—611no—
668C2×C4—612no—
669C2×C4—1222no—
670C2×C4—1222no—
671C2×C4—1224no—
672C2×C4—1221no—
673C2×C4—1221no—
674C2×C4—9764no—
675C2×C4—9762no—
676C2×C4—2442no—
677C2×C4—2442no—
678C2×C4—2442no—
679C2×C4—2442no—
680C2×C4—2442no—
681C2×C4—2442no—
682C2×C4—2442no—
683C2×C4—2444no—
684C2×C4C22⋊C4×D6111yescharacteristic
685C2×C4C22×C4×D6111yescharacteristic
686C22—22no—
687C22—22no—
688C22—41no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—41no—
693C22—82no—
694C22—82no—
695C22—612no—
696C22—1221no—
697C22—1222no—
698C22—9762no—
699C22—9762no—
700C22—9762no—
701C22—9762no—
702C22—4884no—
703C22—2441no—
704C22—2442no—
705C22—2442no—
706C22—2441no—
707C22—2442no—
708C22—2441no—
709C22—2441no—
710C22#99×D6112yes—
711C22C2×C22⋊C4×D6111yescharacteristic
712C4—21no—
713C4—21no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—84no—
718C4—612no—
719C4—1222no—
720C4—1221no—
721C4—1222no—
722C4—4884no—
723C4—2441no—
724C2—21no—
725C2—22no—
726C2—42no—
727C2—42no—
728C2—81no—
729C2—1222no—
730C2—4881no—
731C2—4881no—
732C2—2441no—
733C2—2442no—
734C2C2×#99×D6111yescharacteristic
subgroupG/H
centerC2C2×#99×D61
commutatorC2×C4×C61C23×C4
FrattiniC2×D4C23×D61
FittingC61×#2127C2
socleC2×C61C22×#99
prime radical#21459594C2
cosocleC2×D4×C61C24
hypercenter#2127D61
hypocenterC61#33359
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2 ◁ C23 ◁ C22×D4 ◁ #2127

Complements

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

NH ≅ G/Ntype
2. #21454277C2semidirect
3. #21447489C2semidirect
4. #21447488C2semidirect
5. #21447487C2semidirect
6. #21447483C2semidirect
7. C2×#16839554C2semidirect
8. #353×D61C2semidirect
9. C61×#2127C2semidirect
10. C2×#14519823C4semidirect
16. #16840331C4semidirect
17. #16840330C4semidirect
19. #16840325C4semidirect
21. #16840311C4semidirect
23. #16840308C4semidirect
25. #127×D61C4semidirect
28. #16840230C4semidirect
30. #16839734C22semidirect
31. C2×#14519692C22semidirect
34. #99×D61C22semidirect
35. #16839557C22semidirect
36. #16839555C22semidirect
37. #16839554C22semidirect
38. #16839554C22semidirect
40. C2×#99×C61C22semidirect
41. C61×#354C22semidirect
42. C61×#353C22semidirect
45. C2×#11758226C2×C4semidirect
46. C2×#11758226C2×C4semidirect
54. C22×D244C2×C4semidirect
63. C2×D4×D61C2×C4semidirect
64. C2×D4×D61C2×C4semidirect
67. #14519775C2×C4semidirect
68. #14519774C2×C4semidirect
69. #14519774C2×C4semidirect
73. #14519773C2×C4semidirect
74. #14519773C2×C4semidirect
75. #14519773C2×C4semidirect
78. #14519766C2×C4semidirect
79. #14519765C2×C4semidirect
80. #14519765C2×C4semidirect
81. #14519764C2×C4semidirect
104. #14519734C2×C4semidirect
105. #14519734C2×C4semidirect
109. C2×C4×Dic61C2×C4semidirect
110. C42×D61C2×C4semidirect
111. C42×D61C2×C4semidirect
116. C2×#41×C61C2×C4semidirect
118. #127×C61C2×C4semidirect
120. #124×C61C2×C4semidirect
124. #117×C61C2×C4semidirect
362. #2127D61semidirect
403. C2×#99C2×D61semidirect
405. #354C2×D61semidirect
409. #353C2×D61semidirect
410. C61#33359semidirect
421. C2×#41C4×D61semidirect
448. #127C4×D61semidirect
454. #124C4×D61semidirect
483. #117C4×D61semidirect

Maximal subgroups

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

subgroupindex
#214595942
#214542772
#214474892
#214474882
#214474872
#214474832
C2×#168395542
#353×D612
C61×#21272
#3335961