Finite Group Databasebeta

← #29832807

Subgroups — #29832807

Order 15616.

1252 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459150C211yesmaximal, characteristic
2C2×#16839734C212yesmaximal, complemented
3#21447492C212yesmaximal, complemented
4#21447489C212yesmaximal, complemented
5#21447488C211yesmaximal, characteristic, complemented
6#21447486C212yesmaximal, complemented
7#21447483C212yesmaximal, complemented
8#21447481C212yesmaximal, complemented
9C61×#2127C211yesmaximal, characteristic, complemented
10C22×#11758224C2211yescharacteristic
11C2×#41×D61C411yescharacteristic, complemented
12#16840341—22no—
13#16840338C411yescharacteristic, complemented
14#16840333C411yescharacteristic, complemented
15#16840332C411yescharacteristic, complemented
16#16840332C2211yescharacteristic
17#16840329C2211yescharacteristic
18#16840325C411yescharacteristic, complemented
19#16840325C2211yescharacteristic
20#16840322—22no—
21#16840311C411yescharacteristic, complemented
22#16840311C2211yescharacteristic
23#16840310C411yescharacteristic, complemented
24#16840310C2211yescharacteristic
25#16840272—22no—
26#16840268—22no—
27C2×#14519733—22no—
28#117×D61C411yescharacteristic, complemented
29#16839734—22no—
30#16839734—22no—
31#16839734C2214yes—
32#16839734C2214yescomplemented
33C2×#14519692C2212yescomplemented
34C2×#14519691—22no—
35#16839557C2212yescomplemented
36#16839556C2214yescomplemented
37#16839555C2212yescomplemented
38#16839554C2214yescomplemented
39C61×#535C2211yescharacteristic
40C2×#99×C61C2212yescomplemented
41C61×#354C2212yescomplemented
42C61×#353C2212yescomplemented
43C2×#11758226C2×C411yescharacteristic, complemented
44C2×#11758222—21no—
45C2×#11758222C2×C411yescharacteristic
46C2×#11758224—21no—
47C2×#11758224—42no—
48C2×#11758224—42no—
49C2×#11758224C2×C411yescharacteristic
50C2×#11758224C2×C411yescharacteristic
51C2×#11758224C2×C411yescharacteristic, complemented
52C2×#11758224D412yes—
53C2×#11758224D412yes—
54C2×#11758224C2311yescharacteristic
55C2×#11758224C2311yescharacteristic
56#41×D61—42no—
57#41×D61—42no—
58C22×Dic122C2×C411yescharacteristic
59C2×Q8×D61C2×C411yescharacteristic, complemented
60C22×C22⋊D61D412yes—
61C2×D4×D61—21no—
62C2×D4×D61C2×C411yescharacteristic, complemented
63C23×Dic61D412yes—
64C22×C4×D61—21no—
65C22×C4×D61C2×C411yescharacteristic
66#14519777C2×C411yescharacteristic, complemented
67#14519777C2×C411yescharacteristic, complemented
68#14519775C2×C411yescharacteristic, complemented
69#14519775C2×C411yescharacteristic, complemented
70#14519773C2×C411yescharacteristic
71#14519773C2311yescharacteristic
72#14519765C2×C411yescharacteristic, complemented
73#14519765C2×C411yescharacteristic, complemented
74#14519764C2×C411yescharacteristic
75#14519764C2×C411yescharacteristic, complemented
76#14519764C2×C411yescharacteristic, complemented
77#14519764C2311yescharacteristic
78#14519761—22no—
79#14519759—22no—
80#14519759—22no—
81#14519758—22no—
82#14519757—22no—
83#14519756—22no—
84#14519754—22no—
85#14519754—22no—
86#14519750—22no—
87#14519750—22no—
88#14519749—22no—
89#14519749—22no—
90#14519748—22no—
91#14519748—22no—
92#14519748—22no—
93#14519746—22no—
94#14519745—22no—
95#14519745—22no—
96D4×Dic61—22no—
97D4×Dic61—22no—
98#14519737—22no—
99#14519737—22no—
100#14519736C2×C411yescharacteristic
101#14519735—21no—
102#14519734C2×C411yescharacteristic, complemented
103#14519734C2×C411yescharacteristic, complemented
104#14519733—21no—
105#14519733—24no—
106#14519733—24no—
107#14519733—42no—
108#14519733—42no—
109C2×#11758196—42no—
110C4⋊C4×D61—21no—
111C2×C22⋊Dic61—22no—
112C22⋊C4×D61—21no—
113C2×C4×Dic61—42no—
114C42×D61C2×C411yescharacteristic, complemented
115C42×D61C2×C411yescharacteristic, complemented
116#14519692—22no—
117#14519692C2314yes—
118#14519691—24no—
119#14519691—24no—
120C2×#41×C61C2×C411yescharacteristic
121C22×D4×C61C2311yescharacteristic
122#127×C61C2×C411yescharacteristic
123#127×C61C2311yescharacteristic
124#124×C61C2×C411yescharacteristic
125#124×C61C2311yescharacteristic
126#121×C61—22no—
127#120×C61—22no—
128#117×C61C2×C411yescharacteristic
129C2×C22⋊C4×C61—22no—
130#99×C61—22no—
131#99×C61C2314yes—
132C24×C61C2×D412yes—
133C23×D61—21no—
134C23×D61C22⋊C411yescharacteristic
135#41×C61—42no—
136C2×Q8×C61C22×C411yescharacteristic
137C2×D4×C61—21no—
138C2×D4×C61—22no—
139C2×D4×C61—22no—
140C2×D4×C61—42no—
141C2×D4×C61C22×C411yescharacteristic
142C2×D4×C61C22×C411yescharacteristic
143C2×D4×C61C2×D412yes—
144C2×D4×C61C2411yescharacteristic
145C22×C4×C61—21no—
146C22×C4×C61—42no—
147C22×C4×C61C22×C411yescharacteristic
148C2×C22⋊D61—21no—
149C2×C22⋊D61—21no—
150C2×C22⋊D61—22no—
151C2×C22⋊D61—22no—
152C2×C22⋊D61—21no—
153C2×C22⋊D61—42no—
154C2×C22⋊D61—42no—
155C2×C22⋊D61C22⋊C412yes—
156C2×C22⋊D61C22⋊C412yes—
157C2×C22⋊D61C2×D412yes—
158C2×C22⋊D61C2×D412yes—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—21no—
164C22×Dic61—42no—
165C22×Dic61C22⋊C412yes—
166C22×Dic61C22⋊C412yes—
167C22×Dic61C22⋊C412yes—
168C22×Dic61C22⋊C411yescharacteristic
169C22×Dic61C2×D412yes—
170C22×Dic61C2×D412yes—
171#11758226—41no—
172#11758226—41no—
173Q8×D61—42no—
174#11758224—42no—
175#11758224—41no—
176#11758224—41no—
177#11758224—42no—
178#11758224—42no—
179#11758224—42no—
180#11758224—42no—
181#11758224—42no—
182#11758224—41no—
183#11758224—41no—
184#11758224—41no—
185#11758224—41no—
186#11758224—42no—
187#11758224—42no—
188D4×D61—42no—
189D4×D61—44no—
190#11758222—44no—
191#11758222—42no—
192C2×D244—21no—
193C2×D244C22×C411yescharacteristic
194C2×C4×D61—22no—
195C2×C4×D61—22no—
196C2×C4×D61—21no—
197C2×C4×D61—21no—
198C2×C4×D61—21no—
199C2×C4×D61—21no—
200C2×C4×D61—21no—
201C2×C4×D61—42no—
202C2×C4×D61—42no—
203C2×C4×D61C22⋊C411yescharacteristic
204C2×C4×D61C22⋊C411yescharacteristic
205C2×C4×D61C22×C411yescharacteristic
206C2×C4×D61C22×C411yescharacteristic
207C2×Dic122—21no—
208C2×Dic122—42no—
209C2×Dic122C22⋊C412yes—
210C2×Dic122C22×C411yescharacteristic
211C2×Dic122C22×C411yescharacteristic
212C2×Dic122C22×C411yescharacteristic
213C4⋊C4×C61—21no—
214C22⋊C4×C61—21no—
215C22⋊C4×C61—22no—
216C22⋊C4×C61—22no—
217C22⋊C4×C61—24no—
218C22⋊C4×C61—42no—
219C42×C61C22×C411yescharacteristic
220C42×C61C22×C411yescharacteristic
221C22⋊Dic61—21no—
222C22⋊Dic61—22no—
223C22⋊Dic61—22no—
224C22⋊Dic61—22no—
225C22⋊Dic61—22no—
226C22⋊Dic61—24no—
227C22⋊Dic61—42no—
228#11758198—21no—
229#11758198—21no—
230#11758198—22no—
231#11758198—22no—
232C4⋊Dic61—21no—
233C4⋊Dic61—22no—
234C4⋊Dic61—22no—
235#11758196—21no—
236#11758196—21no—
237#11758196—22no—
238#11758196—22no—
239#11758196—44no—
240#11758196—44no—
241C4×Dic61—21no—
242C4×Dic61—21no—
243C4×Dic61—44no—
244C4×Dic61—44no—
245C4×Dic61C22×C411yescharacteristic
246C4×Dic61C22×C411yescharacteristic
247C23×C61—22no—
248C23×C61—22no—
249C23×C61—21no—
250C23×C61—82no—
251C23×C61C2×C22⋊C412yes—
252C23×C61C2×C22⋊C411yescharacteristic
253C23×C61C22×D412yes—
254C22×D61—22no—
255C22×D61—21no—
256C22×D61—42no—
257C22×D61—82no—
258C22×D61—81no—
259C22×D61C2×C22⋊C411yescharacteristic
260C22×D61C2×C22⋊C411yescharacteristic
261Q8×C61—41no—
262D4×C61—41no—
263D4×C61—42no—
264D4×C61—41no—
265D4×C61—41no—
266D4×C61—42no—
267D4×C61—82no—
268D4×C61—82no—
269C2×C4×C61—22no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—42no—
274C2×C4×C61—44no—
275C2×C4×C61—84no—
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C23×C411yescharacteristic
278C22⋊D61—42no—
279C22⋊D61—42no—
280C22⋊D61—42no—
281C22⋊D61—42no—
282C22⋊D61—42no—
283C22⋊D61—42no—
284C22⋊D61—42no—
285C22⋊D61—82no—
286C22⋊D61—82no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—22no—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—21no—
298C2×Dic61—21no—
299C2×Dic61—21no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—44no—
303C2×Dic61—84no—
304C2×Dic61#9912yes—
305C2×Dic61#9912yes—
306C2×Dic61C2×C22⋊C412yes—
307C2×Dic61C2×C22⋊C412yes—
308C2×Dic61C2×C22⋊C411yescharacteristic
309C2×Dic61C2×C22⋊C411yescharacteristic
310D244—41no—
311D244—42no—
312C4×D61—21no—
313C4×D61—21no—
314C4×D61—22no—
315C4×D61—22no—
316C4×D61—21no—
317C4×D61—21no—
318C4×D61—42no—
319C4×D61—42no—
320C4×D61—41no—
321C4×D61—41no—
322C4×D61—81no—
323C4×D61—81no—
324Dic122—42no—
325Dic122—41no—
326Dic122—41no—
327Dic122—42no—
328Dic122—41no—
329#33358—611nomaximal, Sylow
330C22×C61—22no—
331C22×C61—22no—
332C22×C61—41no—
333C22×C61—42no—
334C22×C61—42no—
335C22×C61—44no—
336C22×C61—42no—
337C22×C61—41no—
338C22×C61—82no—
339C22×C61C2×#9912yes—
340C22×C61C22×C22⋊C411yescharacteristic
341C2×D61—21no—
342C2×D61—21no—
343C2×D61—41no—
344C2×D61—41no—
345C2×D61—42no—
346C2×D61—41no—
347C2×D61—82no—
348C2×D61—84no—
349C4×C61—21no—
350C4×C61—21no—
351C4×C61—41no—
352C4×C61—41no—
353C4×C61—41no—
354C4×C61—84no—
355Dic61—22no—
356Dic61—22no—
357Dic61—41no—
358Dic61—41no—
359Dic61—41no—
360Dic61—84no—
361Dic61C2×#9912yes—
362Dic61C2×#9911yescharacteristic
363Dic61C2×#9911yescharacteristic
364#3449—611no—
365C2×#410—612no—
366#2129—612no—
367#2128—612no—
368#2127—612no—
369#2127—611no—
370#2127D6111yescharacteristic, complemented
371#2126—612no—
372#2126—612no—
373C2×C61—21no—
374C2×C61—22no—
375C2×C61—42no—
376C2×C61—42no—
377C2×C61—81no—
378C2×C61C22×#9911yescharacteristic
379D61—41no—
380D61—41no—
381D61—81no—
382C22×#41—611no—
383C22×#41—611no—
384#537—1222no—
385#536—611no—
386#536—611no—
387#536—611no—
388#536—611no—
389#535—611no—
390#535—611no—
391#535—611no—
392#535C2×D6111yescharacteristic
393#534—1222no—
394#532—611no—
395#532—611no—
396#532—611no—
397#532—611no—
398#525—1222no—
399#525—1222no—
400C2×#117—611no—
401C2×#117—1222no—
402#410—614no—
403#410—614no—
404#410—1222no—
405#410—1222no—
406C2×#99—612no—
407C2×#99—1222no—
408C2×#99C2×D6112yescomplemented
409#354—612no—
410#354—614no—
411#354C2×D6112yescomplemented
412#353—612no—
413#353—614no—
414#353C2×D6112yescomplemented
415C61#3335811yescharacteristic, complemented, Sylow
416C2×#41—611no—
417C2×#41—611no—
418C2×#41—612no—
419C2×#41—612no—
420C2×#41—611no—
421C2×#41—611no—
422C2×#41—611no—
423C2×#41—611no—
424C2×#41—611no—
425C2×#41—1221no—
426C2×#41—1221no—
427C2×#41—2442no—
428C2×#41—2442no—
429C2×#41—2442no—
430C2×#41—2442no—
431C2×#41C4×D6111yescharacteristic
432C22×Q8—611no—
433C22×Q8—611no—
434C22×D4—612no—
435C22×D4—611no—
436C22×D4—1221no—
437C22×D4C22×D6111yescharacteristic
438C23×C4—612no—
439C23×C4—611no—
440C23×C4—1221no—
441C4⋊Q8—611no—
442C4⋊Q8—611no—
443C4⋊Q8—611no—
444C4⋊Q8—611no—
445#127—611no—
446#127—611no—
447#127C4×D6111yescharacteristic
448#127C22×D6111yescharacteristic
449#124—611no—
450#124—611no—
451#124—611no—
452#124—611no—
453#124—611no—
454#124—611no—
455#124C4×D6111yescharacteristic
456#124C22×D6111yescharacteristic
457#123—1222no—
458#123—1222no—
459#123—1222no—
460#123—1222no—
461C22⋊Q8—1222no—
462C22⋊Q8—1222no—
463C22⋊Q8—1222no—
464C22⋊Q8—1222no—
465#121—22no—
466#121—1222no—
467#121—1222no—
468#121—1222no—
469#121—1222no—
470#121—1222no—
471#121—1222no—
472#121—1222no—
473#120—22no—
474#120—1222no—
475#120—1222no—
476#120—1222no—
477C4×D4—1222no—
478C4×D4—1222no—
479C4×D4—1222no—
480C4×D4—1222no—
481#117—611no—
482#117—611no—
483#117—611no—
484#117—1221no—
485#117—1221no—
486#117—1224no—
487#117—1224no—
488#117—2442no—
489#117—2442no—
490#117C4×D6111yescharacteristic
491C2×C4⋊C4—1221no—
492C2×C4⋊C4—2442no—
493C2×C22⋊C4—22no—
494C2×C22⋊C4—1221no—
495C2×C22⋊C4—1222no—
496C2×C42—611no—
497C2×C42—611no—
498C2×C42—2442no—
499#99—22no—
500#99—614no—
501#99—1224no—
502#99—1224no—
503#99—1222no—
504#99C22×D6114yes—
505C24—611no—
506C24—1221no—
507C24D4×D6112yes—
508#41—42no—
509#41—2442no—
510#41—2444no—
511#41—2442no—
512#41—2442no—
513#41—2442no—
514#41—2442no—
515#41—2442no—
516#41—2442no—
517#41—2441no—
518#41—2442no—
519#41—2441no—
520#41—2442no—
521#41—2441no—
522#41—2441no—
523#41—2441no—
524#41—2441no—
525#41—2441no—
526#41—2441no—
527C2×Q8—611no—
528C2×Q8—611no—
529C2×Q8—612no—
530C2×Q8—611no—
531C2×Q8—1221no—
532C2×Q8—2442no—
533C2×Q8—2442no—
534C2×Q8C2×C4×D6111yescharacteristic
535C2×D4—21no—
536C2×D4—22no—
537C2×D4—22no—
538C2×D4—42no—
539C2×D4—612no—
540C2×D4—612no—
541C2×D4—612no—
542C2×D4—612no—
543C2×D4—611no—
544C2×D4—1221no—
545C2×D4—1221no—
546C2×D4—1222no—
547C2×D4—1222no—
548C2×D4—1221no—
549C2×D4—1221no—
550C2×D4—2442no—
551C2×D4—2442no—
552C2×D4—2442no—
553C2×D4—2444no—
554C2×D4C2×C4×D6111yescharacteristic
555C2×D4C2×C4×D6111yescharacteristic
556C2×D4D4×D6112yes—
557C2×D4C23×D6111yescharacteristic
558C22×C4—21no—
559C22×C4—42no—
560C22×C4—611no—
561C22×C4—612no—
562C22×C4—612no—
563C22×C4—612no—
564C22×C4—612no—
565C22×C4—612no—
566C22×C4—611no—
567C22×C4—611no—
568C22×C4—611no—
569C22×C4—611no—
570C22×C4—1222no—
571C22×C4—1222no—
572C22×C4—1221no—
573C22×C4—1221no—
574C22×C4—1221no—
575C22×C4—1221no—
576C22×C4—1222no—
577C22×C4—1222no—
578C22×C4—1222no—
579C22×C4—1222no—
580C22×C4—1221no—
581C22×C4—1221no—
582C22×C4—2442no—
583C22×C4—2442no—
584C22×C4—2442no—
585C22×C4C2×C4×D6111yescharacteristic
586C4⋊C4—21no—
587C4⋊C4—1221no—
588C4⋊C4—1221no—
589C4⋊C4—1222no—
590C4⋊C4—1222no—
591C4⋊C4—1222no—
592C4⋊C4—1222no—
593C4⋊C4—1221no—
594C4⋊C4—2444no—
595C4⋊C4—2444no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—24no—
600C22⋊C4—42no—
601C22⋊C4—1222no—
602C22⋊C4—1222no—
603C22⋊C4—1221no—
604C22⋊C4—1221no—
605C22⋊C4—1222no—
606C22⋊C4—1222no—
607C22⋊C4—1222no—
608C22⋊C4—1222no—
609C22⋊C4—1221no—
610C22⋊C4—1224no—
611C22⋊C4—2442no—
612C42—611no—
613C42—611no—
614C42—1221no—
615C42—1221no—
616C42—2444no—
617C42—2444no—
618C42C2×C4×D6111yescharacteristic
619C42C2×C4×D6111yescharacteristic
620C23—22no—
621C23—22no—
622C23—21no—
623C23—82no—
624C23—611no—
625C23—611no—
626C23—1222no—
627C23—1221no—
628C23—4882no—
629C23—4881no—
630C23—2442no—
631C23C22⋊C4×D6112yes—
632C23C22⋊C4×D6111yescharacteristic
633C23C2×D4×D6112yes—
634Q8—41no—
635Q8—2442no—
636Q8—2441no—
637Q8—2441no—
638Q8—2441no—
639Q8—2442no—
640D4—41no—
641D4—42no—
642D4—41no—
643D4—41no—
644D4—42no—
645D4—82no—
646D4—82no—
647D4—4882no—
648D4—4882no—
649D4—2441no—
650D4—2442no—
651D4—2442no—
652D4—2442no—
653D4—2442no—
654D4—2442no—
655D4—2442no—
656D4—2442no—
657D4—2442no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—84no—
665C2×C4—611no—
666C2×C4—611no—
667C2×C4—612no—
668C2×C4—612no—
669C2×C4—612no—
670C2×C4—612no—
671C2×C4—1221no—
672C2×C4—1221no—
673C2×C4—1222no—
674C2×C4—1222no—
675C2×C4—1221no—
676C2×C4—1221no—
677C2×C4—1222no—
678C2×C4—1222no—
679C2×C4—1222no—
680C2×C4—1222no—
681C2×C4—1222no—
682C2×C4—1222no—
683C2×C4—1222no—
684C2×C4—1222no—
685C2×C4—1222no—
686C2×C4—1222no—
687C2×C4—1221no—
688C2×C4—1221no—
689C2×C4—1221no—
690C2×C4—4881no—
691C2×C4—4881no—
692C2×C4—4884no—
693C2×C4—2442no—
694C2×C4—2441no—
695C2×C4—2441no—
696C2×C4—2442no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4—2444no—
700C2×C4C22⋊C4×D6111yescharacteristic
701C2×C4C22×C4×D6111yescharacteristic
702C22—22no—
703C22—22no—
704C22—41no—
705C22—42no—
706C22—42no—
707C22—44no—
708C22—42no—
709C22—41no—
710C22—82no—
711C22—1221no—
712C22—1221no—
713C22—4882no—
714C22—4884no—
715C22—2442no—
716C22—2441no—
717C22—2441no—
718C22—2441no—
719C22#99×D6112yes—
720C22C2×C22⋊C4×D6111yescharacteristic
721C4—21no—
722C4—21no—
723C4—41no—
724C4—41no—
725C4—41no—
726C4—84no—
727C4—611no—
728C4—611no—
729C4—612no—
730C4—1222no—
731C4—1222no—
732C4—4884no—
733C4—2441no—
734C4—2441no—
735C4—2441no—
736C2—21no—
737C2—22no—
738C2—42no—
739C2—42no—
740C2—81no—
741C2—4881no—
742C2—2441no—
743C2—2441no—
744C2C2×#99×D6111yescharacteristic
subgroupG/H
centerC2C2×#99×D61
commutatorC2×C4×C61C23×C4
FrattiniC2×D4C23×D61
FittingC61×#2127C2
socleC2×C61C22×#99
prime radical#21459150C2
cosocleC2×D4×C61C24
hypercenter#2127D61
hypocenterC61#33358
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. C2×#16839734C2semidirect
3. #21447492C2semidirect
4. #21447489C2semidirect
5. #21447488C2semidirect
6. #21447486C2semidirect
7. #21447483C2semidirect
8. #21447481C2semidirect
9. C61×#2127C2semidirect
11. C2×#41×D61C4semidirect
13. #16840338C4semidirect
14. #16840333C4semidirect
15. #16840332C4semidirect
18. #16840325C4semidirect
21. #16840311C4semidirect
23. #16840310C4semidirect
28. #117×D61C4semidirect
32. #16839734C22semidirect
33. C2×#14519692C22semidirect
35. #16839557C22semidirect
36. #16839556C22semidirect
37. #16839555C22semidirect
38. #16839554C22semidirect
40. C2×#99×C61C22semidirect
41. C61×#354C22semidirect
42. C61×#353C22semidirect
43. C2×#11758226C2×C4semidirect
51. C2×#11758224C2×C4semidirect
59. C2×Q8×D61C2×C4semidirect
62. C2×D4×D61C2×C4semidirect
66. #14519777C2×C4semidirect
67. #14519777C2×C4semidirect
68. #14519775C2×C4semidirect
69. #14519775C2×C4semidirect
72. #14519765C2×C4semidirect
73. #14519765C2×C4semidirect
75. #14519764C2×C4semidirect
76. #14519764C2×C4semidirect
102. #14519734C2×C4semidirect
103. #14519734C2×C4semidirect
114. C42×D61C2×C4semidirect
115. C42×D61C2×C4semidirect
370. #2127D61semidirect
408. C2×#99C2×D61semidirect
411. #354C2×D61semidirect
414. #353C2×D61semidirect
415. C61#33358semidirect

Maximal subgroups

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

subgroupindex
#214591502
C2×#168397342
#214474922
#214474892
#214474882
#214474862
#214474832
#214474812
C61×#21272
#3335861