Finite Group Databasebeta

← #29691244

Subgroups — #29691244

Order 15616.

1000 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839926C211yesmaximal, characteristic
2C4×#14519756C211yesmaximal, characteristic, complemented
3#21448309C211yesmaximal, characteristic
4#21446700C211yesmaximal, characteristic, complemented
5#21446690C211yesmaximal, characteristic, complemented
6#21446516C211yesmaximal, characteristic, complemented
7#21446509C211yesmaximal, characteristic, complemented
8#21446461C211yesmaximal, characteristic, complemented
9#21446447C211yesmaximal, characteristic, complemented
10#21446173C211yesmaximal, characteristic, complemented
11#21446159C211yesmaximal, characteristic, complemented
12#21446129C211yesmaximal, characteristic, complemented
13#21446020C211yesmaximal, characteristic, complemented
14#21445760C211yesmaximal, characteristic
15C61×#1749C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C22×Dic244C2211yescharacteristic
18C22×#11758190C2211yescharacteristic
19C2×#14519756C2211yescharacteristic
20C2×C4×Dic122C2211yescharacteristic
21C2×#14519736C2211yescharacteristic
22#16839926C418yescomplemented
23C2×#14519711C2211yescharacteristic
24C2×#14519709C2211yescharacteristic
25C2×#14519702C2211yescharacteristic
26C2×#14519702C2211yescharacteristic
27C2×#14519702C2211yescharacteristic
28C2×#14519702C2211yescharacteristic
29C2×#14519702C2211yescharacteristic
30C2×#14519699C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33#16839668C2211yescharacteristic
34#16839668C2211yescharacteristic
35#16839668C2211yescharacteristic
36#16839664C2211yescharacteristic
37#16839664C2211yescharacteristic
38#16839660C2211yescharacteristic
39#16839646—21no—
40#16839641—21no—
41#16839641—21no—
42#16839635—21no—
43#16839622C2211yescharacteristic
44C4×#11758196—21no—
45C4×C4⋊Dic61C2211yescharacteristic
46C4×#11758198—21no—
47C4×#11758198—21no—
48C4×C22⋊Dic61—21no—
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53C22×C42×C61C2211yescharacteristic
54C2×C22⋊C8×C61C2211yescharacteristic
55C2×C22⋊C8×C61C2211yescharacteristic
56C2×#97×C61C2211yescharacteristic
57C2×#97×C61C2211yescharacteristic
58C61×#336C2211yescharacteristic
59C61×#336C2211yescharacteristic
60C2×#11758222—22no—
61C2×#11758222—41no—
62C2×#11758222—41no—
63C2×#11758222—41no—
64C2×#11758222—41no—
65C2×#11758222C2×C414yes—
66C22×Dic122C2311yescharacteristic
67C22×Dic122C2311yescharacteristic
68C22×D244C2311yescharacteristic
69C22×C22⋊D61—21no—
70C22×C4×D61—21no—
71C2×Dic244—41no—
72C2×Dic244—41no—
73C2×Dic244C2×C414yescomplemented
74C2×#11758190—41no—
75C2×#11758190—41no—
76C2×#11758190C2×C414yescomplemented
77#14519756—22no—
78#14519756C2×C414yes—
79C4×Dic122—41no—
80C4×Dic122—41no—
81#14519736—41no—
82#14519736—41no—
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×#11758196—21no—
89C2×#11758196—21no—
90C2×#11758196—21no—
91C2×C22⋊Dic61—21no—
92C2×C22⋊Dic61—21no—
93C2×C22⋊Dic61—21no—
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×C4×Dic61—21no—
99C2×C4×Dic61—21no—
100C2×C4×Dic61—21no—
101#14519711—41no—
102#14519709—41no—
103#14519702—41no—
104#14519702—41no—
105#14519702—41no—
106#14519702—41no—
107#14519702C2×C414yescomplemented
108#14519699—41no—
109#14519699—41no—
110#14519699C2×C414yescomplemented
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120C23×C4×C61D411yescharacteristic
121C23×C4×C61D411yescharacteristic
122C23×C4×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C2×C42×C61—41no—
128C2×C42×C61—41no—
129C2×C42×C61D411yescharacteristic
130C2×C42×C61D411yescharacteristic
131C2×C42×C61C2311yescharacteristic
132C2×C42×C61C2311yescharacteristic
133C22⋊C8×C61—22no—
134C22⋊C8×C61C2×C414yes—
135#97×C61—41no—
136#97×C61—41no—
137C24×C61C2×D411yescharacteristic
138C23×D61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—22no—
144C22×C4×C61—41no—
145C22×C4×C61—41no—
146C22×C4×C61—41no—
147C22×C4×C61—41no—
148C22×C4×C61—41no—
149C22×C4×C61C22×C412yes—
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61#4112yes—
156C22×C4×C61C2411yescharacteristic
157C2×C22⋊D61—24no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—42no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167#11758222—44no—
168#11758222—44no—
169#11758222—44no—
170#11758222—44no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—21no—
176C2×D244C22×C412yes—
177C2×C4×D61—24no—
178C2×C4×D61—42no—
179C2×C4×D61—42no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122—21no—
183C2×Dic122—21no—
184C2×Dic122—21no—
185C2×Dic122—21no—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122C22×C412yes—
191C2×Dic122C22×C412yes—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61—21no—
201C2×C8×C61—21no—
202C2×C8×C61C22×C412yes—
203C2×C8×C61C22×C412yes—
204C42×C61—21no—
205C42×C61—21no—
206C42×C61—21no—
207C42×C61—21no—
208C42×C61—41no—
209C42×C61—41no—
210C22⋊Dic61—24no—
211C22⋊Dic61—42no—
212C22⋊Dic61—42no—
213#11758198—42no—
214#11758198—42no—
215#11758198—42no—
216#11758198—42no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61—21no—
226C4⋊Dic61C22×C412yes—
227#11758196—24no—
228#11758196—42no—
229#11758196—42no—
230C4×Dic61—42no—
231C4×Dic61—42no—
232C4×Dic61—42no—
233Dic244—44no—
234#11758190—44no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61C4×D412yes—
242C23×C61C22×D411yescharacteristic
243C22×D61—22no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—44no—
268C2×C4×C61—44no—
269C2×C4×C61C4×D412yes—
270C2×C4×C61#13712yes—
271C2×C4×C61C23×C411yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61H(5,𝔽2)11yescharacteristic
274C2×C4×C61H(5,𝔽2)11yescharacteristic
275C2×C4×C61H(5,𝔽2)11yescharacteristic
276C2×C4×C61H(5,𝔽2)11yescharacteristic
277C22⋊D61—48no—
278C2×Dic61—22no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299D244—22no—
300D244—22no—
301D244—41no—
302D244—41no—
303C4×D61—48no—
304Dic122—22no—
305Dic122—22no—
306Dic122—22no—
307Dic122—22no—
308Dic122—41no—
309Dic122—41no—
310Dic122—41no—
311Dic122—41no—
312C8×C61—22no—
313C8×C61—22no—
314C8×C61—41no—
315C8×C61—41no—
316#22048—611nomaximal, Sylow
317C22×C61—22no—
318C22×C61—22no—
319C22×C61—22no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61C2×C4×D411yescharacteristic
325C22×C61#53411yescharacteristic
326C22×C61#53511yescharacteristic
327C22×C61C2×#13711yescharacteristic
328C22×C61#57511yescharacteristic
329C22×C61#57511yescharacteristic
330C22×C61#57511yescharacteristic
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—42no—
334C2×D61—81no—
335C2×D61—81no—
336C2×D61—81no—
337C2×D61—81no—
338C4×C61—22no—
339C4×C61—22no—
340C4×C61—41no—
341C4×C61—41no—
342C4×C61—41no—
343C4×C61#51811yescharacteristic
344C4×C61#51811yescharacteristic
345C4×C61#53811yescharacteristic
346C4×C61#53811yescharacteristic
347Dic61—42no—
348Dic61—42no—
349Dic61—42no—
350Dic61—81no—
351Dic61—81no—
352Dic61—81no—
353Dic61—81no—
354C2×#452—611no—
355C4×C22⋊Q8—611no—
356#2297—611no—
357#1973—611no—
358#1971—611no—
359#1936—611no—
360#1935—611no—
361#1928—611no—
362#1926—611no—
363#1880—611no—
364#1878—611no—
365#1873—611no—
366#1854—611no—
367#1788—611no—
368#1749D6111yescharacteristic, complemented
369C2×C61—42no—
370C2×C61#232111yescharacteristic
371C2×C61#294311yescharacteristic
372C2×C61C4×#13711yescharacteristic
373C2×C61#319611yescharacteristic
374C2×C61#319711yescharacteristic
375C2×C61#321611yescharacteristic
376C2×C61#321911yescharacteristic
377D61—82no—
378C22×#41—611no—
379C22×Q16—611no—
380C22×SD16—611no—
381C2×C22⋊Q8—611no—
382C2×C4×Q8—611no—
383C2×#117—611no—
384C22×C42C2×D6111yescharacteristic
385#452—618no—
386C2×#107—611no—
387C2×#106—611no—
388C2×#103—611no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#102—611no—
394C2×#102—611no—
395C2×#102—611no—
396C2×C22⋊C8C2×D6111yescharacteristic
397C2×C22⋊C8C2×D6111yescharacteristic
398C2×#97C2×D6111yescharacteristic
399C2×#97C2×D6111yescharacteristic
400#391—611no—
401#391—611no—
402#391—611no—
403#390—611no—
404#390—611no—
405#389—611no—
406#387—1221no—
407#386—1221no—
408#386—1221no—
409#385—1221no—
410#380—611no—
411C4×C4⋊C4—611no—
412C4×C4⋊C4—1221no—
413C4×C22⋊C4—1221no—
414C4×C22⋊C4—1221no—
415C4×C22⋊C4—1221no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420#336C2×D6111yescharacteristic
421#336C2×D6111yescharacteristic
422C61#2204811yescharacteristic, complemented, Sylow
423C2×#41—614no—
424C2×#41—1222no—
425C2×#41—2441no—
426C2×#41—2441no—
427C2×#41—2441no—
428C2×#41—2441no—
429C22×Q8—611no—
430C22×Q8—611no—
431C22×D4—611no—
432C22×D4—1221no—
433C23×C4—1221no—
434C23×C4D24411yescharacteristic
435C23×C4D24411yescharacteristic
436C23×C4C22×D6111yescharacteristic
437C2×Q16—614no—
438C2×Q16—2441no—
439C2×Q16—2441no—
440C2×SD16—614no—
441C2×SD16—2441no—
442C2×SD16—2441no—
443C22×C8C22×D6111yescharacteristic
444C22×C8C22×D6111yescharacteristic
445C22×C8C22×D6111yescharacteristic
446C22×C8C22×D6111yescharacteristic
447C22⋊Q8—614no—
448C22⋊Q8—1222no—
449C4×Q8—2441no—
450C4×Q8—2441no—
451#117—2441no—
452#117—2441no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C42—41no—
469C2×C42—41no—
470C2×C42—1221no—
471C2×C42—1221no—
472C2×C42—1221no—
473C2×C42D24411yescharacteristic
474C2×C42D24411yescharacteristic
475C2×C42C22×D6111yescharacteristic
476C2×C42C22×D6111yescharacteristic
477#107—2441no—
478#106—2441no—
479#103—614no—
480#103—2441no—
481#103—2441no—
482#103—2441no—
483#103—2441no—
484#102—614no—
485#102—2441no—
486#102—2441no—
487C22⋊C8—22no—
488C22⋊C8C4×D6114yes—
489#97—41no—
490#97—41no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500C24—1221no—
501C24C2×D24411yescharacteristic
502#41—2444no—
503#41—2444no—
504#41—2444no—
505#41—2444no—
506C2×Q8—612no—
507C2×Q8—612no—
508C2×Q8—1221no—
509C2×Q8—1221no—
510C2×Q8—1221no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1221no—
516C2×Q8—1221no—
517C2×Q8—1221no—
518C2×D4—612no—
519C2×D4—1224no—
520C2×D4—1221no—
521C2×D4—1221no—
522C2×D4—1221no—
523C2×D4—1221no—
524C2×D4—1221no—
525C2×D4—2442no—
526C2×D4—2442no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—41no—
533C22×C4—41no—
534C22×C4—41no—
535C22×C4—41no—
536C22×C4—41no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1224no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—2442no—
546C22×C4—2442no—
547C22×C4C2×C4×D6112yes—
548C22×C4C2×D24411yescharacteristic
549C22×C4C2×D24411yescharacteristic
550C22×C4C2×D24411yescharacteristic
551C22×C4C2×D24411yescharacteristic
552C22×C4C2×D24411yescharacteristic
553C22×C4#1175822212yes—
554C22×C4C23×D6111yescharacteristic
555Q16—2444no—
556SD16—2444no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8C2×C4×D6112yes—
568C2×C8C2×C4×D6112yes—
569C4⋊C4—612no—
570C4⋊C4—1221no—
571C4⋊C4—1224no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—2442no—
581C4⋊C4—2442no—
582C22⋊C4—1224no—
583C22⋊C4—2442no—
584C22⋊C4—2442no—
585C22⋊C4—2442no—
586C22⋊C4—2442no—
587C22⋊C4—2442no—
588C22⋊C4—2442no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—41no—
594C42—41no—
595C42—2442no—
596C42—2442no—
597C42—2442no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—1222no—
605C23—2441no—
606C23—2441no—
607C23—2441no—
608C23—2441no—
609C23—2441no—
610C23—2441no—
611C23C4×D24412yes—
612C23C22×D24411yescharacteristic
613Q8—1222no—
614Q8—1222no—
615Q8—1222no—
616Q8—1222no—
617Q8—2441no—
618Q8—2441no—
619Q8—2441no—
620Q8—2441no—
621D4—1222no—
622D4—1222no—
623D4—2448no—
624D4—2441no—
625D4—2441no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—2448no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4C4×D24412yes—
668C2×C4#1451981012yes—
669C2×C4C22×C4×D6111yescharacteristic
670C2×C4C2×#1175822211yescharacteristic
671C2×C4#1451982211yescharacteristic
672C2×C4#1451982211yescharacteristic
673C2×C4#1451982311yescharacteristic
674C2×C4#1451982311yescharacteristic
675C8—22no—
676C8—22no—
677C8—41no—
678C8—41no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—4881no—
687C22—4881no—
688C22—4881no—
689C22—4881no—
690C22—2442no—
691C22—2442no—
692C22—2442no—
693C22C2×C4×D24411yescharacteristic
694C22#1684032411yescharacteristic
695C22#1684033111yescharacteristic
696C22C2×#1451981011yescharacteristic
697C22#1684056211yescharacteristic
698C22#1684056211yescharacteristic
699C22#1684056211yescharacteristic
700C4—22no—
701C4—22no—
702C4—41no—
703C4—41no—
704C4—41no—
705C4—4881no—
706C4—4881no—
707C4—4881no—
708C4—4881no—
709C4—2442no—
710C4—2442no—
711C4—2442no—
712C4#1684023411yescharacteristic
713C4#1684023411yescharacteristic
714C4#1684034511yescharacteristic
715C4#1684034511yescharacteristic
716C2—42no—
717C2—4882no—
718C2#2144847911yescharacteristic
719C2#2145462111yescharacteristic
720C2C4×#1451981011yescharacteristic
721C2#2145665111yescharacteristic
722C2#2145666111yescharacteristic
723C2#2145683211yescharacteristic
724C2#2145685811yescharacteristic
subgroupG/H
centerC23C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1749C2
socleC23×C61C22×D4
prime radicalC22×#11758222C22
cosocleC22×C4×C61C24
hypercenter#1749D61
hypocenterC61#22048
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×C42 ◁ #1749

Complements

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

NH ≅ G/Ntype
2. C4×#14519756C2semidirect
4. #21446700C2semidirect
5. #21446690C2semidirect
6. #21446516C2semidirect
7. #21446509C2semidirect
8. #21446461C2semidirect
9. #21446447C2semidirect
10. #21446173C2semidirect
11. #21446159C2semidirect
12. #21446129C2semidirect
13. #21446020C2semidirect
15. C61×#1749C2semidirect
22. #16839926C4semidirect
73. C2×Dic244C2×C4semidirect
76. C2×#11758190C2×C4semidirect
107. #14519702C2×C4semidirect
110. #14519699C2×C4semidirect
368. #1749D61semidirect
422. C61#22048semidirect

Maximal subgroups

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

subgroupindex
C2×#168399262
C4×#145197562
#214483092
#214467002
#214466902
#214465162
#214465092
#214464612
#214464472
#214461732
#214461592
#214461292
#214460202
#214457602
C61×#17492
#2204861