Finite Group Databasebeta

← #29832808

Subgroups — #29832808

Order 15616.

1252 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459146C211yesmaximal, characteristic
2#410×D61C212yesmaximal, complemented
3#21447492C212yesmaximal, complemented
4#21447489C212yesmaximal, complemented
5#21447487C212yesmaximal, complemented
6#21447485C212yesmaximal, complemented
7#21447484C211yesmaximal, characteristic, complemented
8#21447482C212yesmaximal, complemented
9C61×#2126C211yesmaximal, characteristic, complemented
10C2×#41×D61C411yescharacteristic, complemented
11C2×#41×D61C2211yescharacteristic
12#16840339—22no—
13#16840337C411yescharacteristic, complemented
14#16840337C411yescharacteristic, complemented
15#16840332C411yescharacteristic, complemented
16#16840332C2211yescharacteristic
17#16840330C411yescharacteristic, complemented
18#16840330C2211yescharacteristic
19#16840325C2211yescharacteristic
20#16840325C2211yescharacteristic
21#16840320—22no—
22#16840312C411yescharacteristic, complemented
23#16840308C411yescharacteristic, complemented
24#16840308C2211yescharacteristic
25#16840271—22no—
26#16840271—22no—
27C2×#14519734C411yescharacteristic, complemented
28#117×D61—22no—
29#16839736C2212yescomplemented
30#16839735—22no—
31#16839734—22no—
32#16839734C2214yes—
33#99×D61—22no—
34#99×D61C2214yescomplemented
35#16839557C2212yescomplemented
36#16839556C2214yescomplemented
37#16839555C2212yescomplemented
38#16839554C2214yescomplemented
39C61×#532C2211yescharacteristic
40C61×#410C2212yescomplemented
41C61×#354C2212yescomplemented
42C61×#353C2212yescomplemented
43C2×#11758226C2×C411yescharacteristic
44C2×#11758226C2×C411yescharacteristic
45C2×#11758222—21no—
46C2×#11758222C2×C411yescharacteristic
47C2×#11758222C2×C411yescharacteristic, complemented
48C2×#11758222D412yes—
49C2×#11758224—21no—
50C2×#11758224C2×C411yescharacteristic
51C2×#11758224D412yes—
52C2×#11758224C2311yescharacteristic
53#41×D61—42no—
54#41×D61—42no—
55#41×D61—42no—
56#41×D61—42no—
57C2×Q8×D61C2×C411yescharacteristic
58C2×Q8×D61C2×C411yescharacteristic, complemented
59C2×D4×D61—21no—
60C2×D4×D61C2×C411yescharacteristic, complemented
61C2×D4×D61D412yes—
62C2×D4×D61C2311yescharacteristic
63C22×C4×D61—21no—
64C22×C4×D61C2×C411yescharacteristic
65C22×C4×D61D412yes—
66#14519777C2×C411yescharacteristic, complemented
67#14519775C2×C411yescharacteristic, complemented
68#14519775C2×C411yescharacteristic, complemented
69#14519774C2×C411yescharacteristic
70#14519773C2×C411yescharacteristic
71#14519773C2311yescharacteristic
72#14519766C2×C411yescharacteristic
73#14519766C2×C411yescharacteristic, complemented
74#14519765C2×C411yescharacteristic
75#14519765C2×C411yescharacteristic, complemented
76#14519764C2×C411yescharacteristic, complemented
77#14519764C2311yescharacteristic
78#14519762—22no—
79#14519762—22no—
80#14519759—22no—
81#14519759—22no—
82#14519755—22no—
83#14519755—22no—
84#14519754—22no—
85#14519754—22no—
86#14519751—22no—
87#14519750—22no—
88#14519750—22no—
89#14519749—22no—
90#14519749—22no—
91#14519749—22no—
92#14519749—22no—
93#14519747—22no—
94#14519747—22no—
95#14519745—22no—
96#14519745—22no—
97C4×D244—22no—
98C4×C22⋊D61—22no—
99C4×C22⋊D61—22no—
100#14519736—22no—
101#14519735—42no—
102#14519734—21no—
103#14519734—21no—
104#14519734—42no—
105#14519734C2×C411yescharacteristic
106#14519734C2×C411yescharacteristic
107#14519734C2×C411yescharacteristic, complemented
108#14519734C2×C411yescharacteristic, complemented
109#14519733—24no—
110C2×#11758196—21no—
111C4⋊C4×D61—42no—
112C2×#11758198—21no—
113C22⋊C4×D61—24no—
114C2×C4×Dic61C2×C411yescharacteristic, complemented
115C42×D61—42no—
116#14519692—22no—
117#14519692C2314yes—
118#14519691—24no—
119#14519691—24no—
120C2×#41×C61C2×C411yescharacteristic, complemented
121C2×#41×C61C2311yescharacteristic
122C4⋊Q8×C61C2×C411yescharacteristic, complemented
123#127×C61C2311yescharacteristic
124#124×C61C2×C411yescharacteristic, complemented
125#124×C61C2311yescharacteristic
126#121×C61—22no—
127C4×D4×C61—22no—
128#117×C61—22no—
129C2×C42×C61C2×C411yescharacteristic, complemented
130#99×C61—22no—
131#99×C61C2314yes—
132C23×D61—21no—
133C23×D61C22⋊C411yescharacteristic
134C23×D61C2×D412yes—
135#41×C61—41no—
136#41×C61—41no—
137#41×C61—41no—
138#41×C61—41no—
139C2×Q8×C61C22×C411yescharacteristic
140C2×Q8×C61C22×C411yescharacteristic
141C2×D4×C61—21no—
142C2×D4×C61—22no—
143C2×D4×C61C22×C411yescharacteristic
144C2×D4×C61C2×D412yes—
145C2×D4×C61C2411yescharacteristic
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61C22×C411yescharacteristic
149C22×C4×C61C2×D412yes—
150C2×C22⋊D61—21no—
151C2×C22⋊D61—21no—
152C2×C22⋊D61—22no—
153C2×C22⋊D61—22no—
154C2×C22⋊D61—21no—
155C2×C22⋊D61C22⋊C412yes—
156C2×C22⋊D61C2×D412yes—
157C2×C22⋊D61C2×D412yes—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61C22⋊C411yescharacteristic
161C22×Dic61C2×D412yes—
162#11758226—42no—
163#11758226—42no—
164Q8×D61—42no—
165Q8×D61—42no—
166#11758224—42no—
167#11758224—42no—
168#11758224—42no—
169#11758224—42no—
170#11758224—44no—
171D4×D61—42no—
172D4×D61—42no—
173D4×D61—42no—
174D4×D61—42no—
175D4×D61—44no—
176#11758222—41no—
177#11758222—41no—
178#11758222—42no—
179#11758222—42no—
180#11758222—42no—
181#11758222—42no—
182#11758222—41no—
183#11758222—41no—
184C2×D244—21no—
185C2×D244—22no—
186C2×D244C22⋊C412yes—
187C2×D244C22×C411yescharacteristic
188C2×D244C22×C411yescharacteristic
189C2×C4×D61—22no—
190C2×C4×D61—22no—
191C2×C4×D61—22no—
192C2×C4×D61—22no—
193C2×C4×D61—22no—
194C2×C4×D61—22no—
195C2×C4×D61—21no—
196C2×C4×D61—21no—
197C2×C4×D61—21no—
198C2×C4×D61—42no—
199C2×C4×D61—42no—
200C2×C4×D61—44no—
201C2×C4×D61C22⋊C411yescharacteristic
202C2×C4×D61C22⋊C412yes—
203C2×C4×D61C22⋊C412yes—
204C2×C4×D61C22⋊C412yes—
205C2×C4×D61C22⋊C411yescharacteristic
206C2×C4×D61C22×C411yescharacteristic
207C2×C4×D61C22×C411yescharacteristic
208C2×Dic122—21no—
209C2×Dic122C22⋊C412yes—
210C2×Dic122C22×C411yescharacteristic
211C2×Dic122C22×C411yescharacteristic
212C4⋊C4×C61—22no—
213C4⋊C4×C61—42no—
214C22⋊C4×C61—22no—
215C22⋊C4×C61—22no—
216C22⋊C4×C61—24no—
217C42×C61—21no—
218C42×C61—42no—
219C42×C61C22×C411yescharacteristic
220C42×C61C22×C411yescharacteristic
221C22⋊Dic61—22no—
222C22⋊Dic61—22no—
223C22⋊Dic61—24no—
224#11758198—21no—
225#11758198—21no—
226#11758198—21no—
227#11758198—21no—
228#11758198—22no—
229#11758198—22no—
230#11758198—22no—
231#11758198—22no—
232#11758198—44no—
233C4⋊Dic61—22no—
234C4⋊Dic61—42no—
235#11758196—22no—
236#11758196—21no—
237#11758196—21no—
238#11758196—21no—
239#11758196—21no—
240#11758196—22no—
241#11758196—44no—
242C4×Dic61—21no—
243C4×Dic61—44no—
244C4×Dic61—42no—
245C4×Dic61C22×C411yescharacteristic
246C4×Dic61C22×C411yescharacteristic
247C23×C61—21no—
248C23×C61C2×C22⋊C411yescharacteristic
249C23×C61C22×D412yes—
250C22×D61—22no—
251C22×D61—22no—
252C22×D61—22no—
253C22×D61—21no—
254C22×D61—42no—
255C22×D61—82no—
256C22×D61—82no—
257C22×D61—81no—
258C22×D61C2×C22⋊C411yescharacteristic
259C22×D61C2×C22⋊C412yes—
260C22×D61C2×C22⋊C411yescharacteristic
261Q8×C61—41no—
262Q8×C61—41no—
263D4×C61—42no—
264D4×C61—41no—
265D4×C61—41no—
266D4×C61—42no—
267D4×C61—82no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—44no—
278C2×C4×C61—81no—
279C2×C4×C61C2×C22⋊C412yes—
280C2×C4×C61C2×C22⋊C411yescharacteristic
281C2×C4×C61C23×C411yescharacteristic
282C22⋊D61—42no—
283C22⋊D61—42no—
284C22⋊D61—42no—
285C22⋊D61—42no—
286C22⋊D61—42no—
287C22⋊D61—42no—
288C22⋊D61—82no—
289C22⋊D61—82no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—42no—
297C2×Dic61—44no—
298C2×Dic61—81no—
299C2×Dic61C2×C22⋊C411yescharacteristic
300C2×Dic61C2×C22⋊C412yes—
301C2×Dic61C2×C22⋊C411yescharacteristic
302D244—42no—
303D244—41no—
304D244—41no—
305D244—42no—
306D244—82no—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—21no—
311C4×D61—21no—
312C4×D61—22no—
313C4×D61—22no—
314C4×D61—22no—
315C4×D61—22no—
316C4×D61—22no—
317C4×D61—42no—
318C4×D61—42no—
319C4×D61—41no—
320C4×D61—41no—
321C4×D61—88no—
322C4×D61#9912yes—
323C4×D61#9912yes—
324Dic122—42no—
325Dic122—41no—
326Dic122—42no—
327Dic122—41no—
328#33358—611nomaximal, Sylow
329C22×C61—22no—
330C22×C61—21no—
331C22×C61—41no—
332C22×C61—42no—
333C22×C61—42no—
334C22×C61—41no—
335C22×C61C22×C22⋊C411yescharacteristic
336C2×D61—21no—
337C2×D61—22no—
338C2×D61—41no—
339C2×D61—44no—
340C2×D61—42no—
341C2×D61—41no—
342C2×D61—42no—
343C2×D61—41no—
344C2×D61—82no—
345C2×D61—82no—
346C2×D61—84no—
347C2×D61C2×#9912yes—
348C4×C61—21no—
349C4×C61—22no—
350C4×C61—41no—
351C4×C61—41no—
352C4×C61—41no—
353C4×C61—84no—
354C4×C61C2×#9911yescharacteristic
355C4×C61C2×#9911yescharacteristic
356Dic61—21no—
357Dic61—22no—
358Dic61—41no—
359Dic61—41no—
360Dic61—41no—
361Dic61—84no—
362Dic61C2×#9912yes—
363#3449—611no—
364C2×#410—612no—
365#2129—612no—
366#2128—612no—
367#2127—612no—
368#2127—612no—
369#2126—612no—
370#2126—611no—
371#2126D6111yescharacteristic, complemented
372C2×C61—21no—
373C2×C61—42no—
374C2×C61—41no—
375C2×C61—81no—
376C2×C61C22×#9911yescharacteristic
377D61—22no—
378D61—42no—
379D61—41no—
380D61—81no—
381C22×#41—611no—
382C22×#41—611no—
383#537—1222no—
384#536—611no—
385#536—611no—
386#536—611no—
387#536—611no—
388#535—611no—
389#535—611no—
390#535—611no—
391#535—611no—
392#534—1222no—
393#532—611no—
394#532—611no—
395#532—611no—
396#532C2×D6111yescharacteristic
397#525—1222no—
398#525—1222no—
399C2×#117—611no—
400C2×#117—1222no—
401#410—612no—
402#410—614no—
403#410—1222no—
404#410—1222no—
405#410C2×D6112yescomplemented
406C2×#99—614no—
407C2×#99—1222no—
408#354—612no—
409#354—614no—
410#354C2×D6112yescomplemented
411#353—612no—
412#353—614no—
413#353C2×D6112yescomplemented
414C61#3335811yescharacteristic, complemented, Sylow
415C2×#41—611no—
416C2×#41—612no—
417C2×#41—611no—
418C2×#41—611no—
419C2×#41—612no—
420C2×#41—611no—
421C2×#41—611no—
422C2×#41—611no—
423C2×#41—1221no—
424C2×#41—1221no—
425C2×#41—2442no—
426C2×#41—2442no—
427C2×#41—2442no—
428C2×#41—2442no—
429C2×#41C4×D6111yescharacteristic, complemented
430C2×#41C22×D6111yescharacteristic
431C22×Q8—611no—
432C22×Q8—611no—
433C22×D4—612no—
434C22×D4—611no—
435C22×D4—611no—
436C22×D4—1221no—
437C23×C4—611no—
438C23×C4—612no—
439C23×C4—1221no—
440C4⋊Q8—611no—
441C4⋊Q8—611no—
442C4⋊Q8—611no—
443C4⋊Q8C4×D6111yescharacteristic, complemented
444#127—611no—
445#127—611no—
446#127—611no—
447#127C22×D6111yescharacteristic
448#124—611no—
449#124—611no—
450#124—611no—
451#124—611no—
452#124—611no—
453#124—611no—
454#124C4×D6111yescharacteristic, complemented
455#124C22×D6111yescharacteristic
456#123—1222no—
457#123—1222no—
458#123—1222no—
459#123—1222no—
460C22⋊Q8—1222no—
461C22⋊Q8—1222no—
462C22⋊Q8—1222no—
463C22⋊Q8—1222no—
464#121—22no—
465#121—1222no—
466#121—1222no—
467#121—1222no—
468#121—1222no—
469#121—1222no—
470#121—1222no—
471#121—1222no—
472#120—1222no—
473#120—1222no—
474#120—1222no—
475#120—1222no—
476C4×D4—22no—
477C4×D4—1222no—
478C4×D4—1222no—
479C4×D4—1222no—
480#117—22no—
481#117—611no—
482#117—611no—
483#117—611no—
484#117—611no—
485#117—1221no—
486#117—1221no—
487#117—1224no—
488#117—1222no—
489#117—2442no—
490#117—2442no—
491C2×C4⋊C4—1221no—
492C2×C4⋊C4—2442no—
493C2×C22⋊C4—1224no—
494C2×C22⋊C4—1221no—
495C2×C42—611no—
496C2×C42—2442no—
497C2×C42C4×D6111yescharacteristic, complemented
498#99—22no—
499#99—614no—
500#99—1224no—
501#99—1224no—
502#99—1222no—
503#99C22×D6114yes—
504C24—612no—
505C24—611no—
506C24—1221no—
507#41—41no—
508#41—41no—
509#41—41no—
510#41—41no—
511#41—2442no—
512#41—2441no—
513#41—2442no—
514#41—2441no—
515#41—2441no—
516#41—2441no—
517#41—2442no—
518#41—2442no—
519#41—2442no—
520#41—2442no—
521#41—2442no—
522#41—2442no—
523#41—2444no—
524#41—2442no—
525#41—2442no—
526C2×Q8—611no—
527C2×Q8—612no—
528C2×Q8—611no—
529C2×Q8—1221no—
530C2×Q8—2442no—
531C2×Q8—2442no—
532C2×Q8C2×C4×D6111yescharacteristic
533C2×Q8C2×C4×D6111yescharacteristic
534C2×D4—21no—
535C2×D4—22no—
536C2×D4—612no—
537C2×D4—612no—
538C2×D4—612no—
539C2×D4—611no—
540C2×D4—611no—
541C2×D4—612no—
542C2×D4—1222no—
543C2×D4—1221no—
544C2×D4—1221no—
545C2×D4—1222no—
546C2×D4—1222no—
547C2×D4—1221no—
548C2×D4—1221no—
549C2×D4—2442no—
550C2×D4—2442no—
551C2×D4—2442no—
552C2×D4—2442no—
553C2×D4—2444no—
554C2×D4C2×C4×D6111yescharacteristic
555C2×D4D4×D6112yes—
556C2×D4C23×D6111yescharacteristic
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—611no—
560C22×C4—612no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—612no—
565C22×C4—612no—
566C22×C4—611no—
567C22×C4—612no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—1222no—
571C22×C4—1222no—
572C22×C4—1222no—
573C22×C4—1222no—
574C22×C4—1221no—
575C22×C4—1221no—
576C22×C4—1221no—
577C22×C4—1221no—
578C22×C4—1221no—
579C22×C4—2442no—
580C22×C4—2442no—
581C22×C4—2444no—
582C22×C4C2×C4×D6111yescharacteristic
583C22×C4D4×D6112yes—
584C4⋊C4—22no—
585C4⋊C4—42no—
586C4⋊C4—1221no—
587C4⋊C4—1221no—
588C4⋊C4—1221no—
589C4⋊C4—1221no—
590C4⋊C4—1222no—
591C4⋊C4—1222no—
592C4⋊C4—1222no—
593C4⋊C4—2442no—
594C4⋊C4—2444no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—24no—
598C22⋊C4—1222no—
599C22⋊C4—1221no—
600C22⋊C4—1221no—
601C22⋊C4—1221no—
602C22⋊C4—1221no—
603C22⋊C4—1222no—
604C22⋊C4—1222no—
605C22⋊C4—1222no—
606C22⋊C4—1222no—
607C22⋊C4—1222no—
608C22⋊C4—1224no—
609C22⋊C4—2444no—
610C42—21no—
611C42—42no—
612C42—611no—
613C42—611no—
614C42—1221no—
615C42—2442no—
616C42—2444no—
617C42C2×C4×D6111yescharacteristic
618C42C2×C4×D6111yescharacteristic
619C23—21no—
620C23—611no—
621C23—611no—
622C23—612no—
623C23—1222no—
624C23—1222no—
625C23—1222no—
626C23—1221no—
627C23—4882no—
628C23—4881no—
629C23—4882no—
630C23—2442no—
631C23C22⋊C4×D6111yescharacteristic
632C23C2×D4×D6112yes—
633Q8—41no—
634Q8—41no—
635Q8—2441no—
636Q8—2442no—
637Q8—2441no—
638Q8—2442no—
639D4—42no—
640D4—41no—
641D4—41no—
642D4—42no—
643D4—82no—
644D4—4882no—
645D4—4882no—
646D4—4882no—
647D4—2441no—
648D4—2442no—
649D4—2441no—
650D4—2442no—
651D4—2442no—
652D4—2442no—
653D4—2442no—
654D4—2442no—
655D4—2442no—
656D4—2442no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—44no—
667C2×C4—81no—
668C2×C4—611no—
669C2×C4—612no—
670C2×C4—612no—
671C2×C4—612no—
672C2×C4—611no—
673C2×C4—1222no—
674C2×C4—1222no—
675C2×C4—1222no—
676C2×C4—1222no—
677C2×C4—1222no—
678C2×C4—1222no—
679C2×C4—1222no—
680C2×C4—1222no—
681C2×C4—1222no—
682C2×C4—1221no—
683C2×C4—1222no—
684C2×C4—1221no—
685C2×C4—1222no—
686C2×C4—1221no—
687C2×C4—1221no—
688C2×C4—1221no—
689C2×C4—4888no—
690C2×C4—4881no—
691C2×C4—2442no—
692C2×C4—2442no—
693C2×C4—2442no—
694C2×C4—2444no—
695C2×C4—2441no—
696C2×C4—2441no—
697C2×C4C22⋊C4×D6112yes—
698C2×C4C22⋊C4×D6111yescharacteristic
699C2×C4C22×C4×D6111yescharacteristic
700C22—22no—
701C22—21no—
702C22—41no—
703C22—42no—
704C22—42no—
705C22—41no—
706C22—612no—
707C22—1221no—
708C22—1222no—
709C22—4882no—
710C22—4882no—
711C22—4884no—
712C22—2441no—
713C22—2442no—
714C22—2442no—
715C22—2441no—
716C22—2444no—
717C22—2441no—
718C22C2×C22⋊C4×D6111yescharacteristic
719C4—21no—
720C4—22no—
721C4—41no—
722C4—41no—
723C4—41no—
724C4—84no—
725C4—612no—
726C4—1221no—
727C4—1222no—
728C4—4884no—
729C4—2441no—
730C4—2441no—
731C4—2441no—
732C4#99×D6111yescharacteristic
733C4#99×D6111yescharacteristic
734C2—21no—
735C2—42no—
736C2—41no—
737C2—81no—
738C2—1222no—
739C2—4881no—
740C2—2441no—
741C2—2442no—
742C2C2×#99×D6111yescharacteristic
subgroupG/H
centerC4#99×D61
commutatorC2×C4×C61C23×C4
FrattiniC2×D4C23×D61
FittingC61×#2126C2
socleC2×C61C22×#99
prime radical#21459146C2
cosocleC2×D4×C61C24
hypercenter#2126D61
hypocenterC61#33358
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C4 ◁ C2×C4 ◁ C2×#41 ◁ #2126

Complements

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

NH ≅ G/Ntype
2. #410×D61C2semidirect
3. #21447492C2semidirect
4. #21447489C2semidirect
5. #21447487C2semidirect
6. #21447485C2semidirect
7. #21447484C2semidirect
8. #21447482C2semidirect
9. C61×#2126C2semidirect
10. C2×#41×D61C4semidirect
13. #16840337C4semidirect
14. #16840337C4semidirect
15. #16840332C4semidirect
17. #16840330C4semidirect
22. #16840312C4semidirect
23. #16840308C4semidirect
27. C2×#14519734C4semidirect
29. #16839736C22semidirect
34. #99×D61C22semidirect
35. #16839557C22semidirect
36. #16839556C22semidirect
37. #16839555C22semidirect
38. #16839554C22semidirect
40. C61×#410C22semidirect
41. C61×#354C22semidirect
42. C61×#353C22semidirect
47. C2×#11758222C2×C4semidirect
58. C2×Q8×D61C2×C4semidirect
60. C2×D4×D61C2×C4semidirect
66. #14519777C2×C4semidirect
67. #14519775C2×C4semidirect
68. #14519775C2×C4semidirect
73. #14519766C2×C4semidirect
75. #14519765C2×C4semidirect
76. #14519764C2×C4semidirect
107. #14519734C2×C4semidirect
108. #14519734C2×C4semidirect
114. C2×C4×Dic61C2×C4semidirect
120. C2×#41×C61C2×C4semidirect
122. C4⋊Q8×C61C2×C4semidirect
124. #124×C61C2×C4semidirect
129. C2×C42×C61C2×C4semidirect
371. #2126D61semidirect
405. #410C2×D61semidirect
410. #354C2×D61semidirect
413. #353C2×D61semidirect
414. C61#33358semidirect
429. C2×#41C4×D61semidirect
443. C4⋊Q8C4×D61semidirect
454. #124C4×D61semidirect
497. C2×C42C4×D61semidirect

Maximal subgroups

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

subgroupindex
#214591462
#410×D612
#214474922
#214474892
#214474872
#214474852
#214474842
#214474822
C61×#21262
#3335861