Finite Group Databasebeta

← #29691240

Subgroups — #29691240

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
2#21448347C211yesmaximal, characteristic, complemented
3#21448307C211yesmaximal, characteristic
4#21446698C211yesmaximal, characteristic, complemented
5#21446688C211yesmaximal, characteristic, complemented
6#21446514C211yesmaximal, characteristic, complemented
7#21446507C211yesmaximal, characteristic, complemented
8#21446459C211yesmaximal, characteristic, complemented
9#21446445C211yesmaximal, characteristic, complemented
10#21446175C211yesmaximal, characteristic, complemented
11#21446161C211yesmaximal, characteristic, complemented
12#21446131C211yesmaximal, characteristic, complemented
13#21445757C211yesmaximal, characteristic
14#21445583C211yesmaximal, characteristic, complemented
15C61×#1854C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C22×Dic244C2211yescharacteristic
18C22×#11758190C2211yescharacteristic
19C2×#14519756C2211yescharacteristic
20C2×#14519742C2211yescharacteristic
21C22×C4×Dic61C2211yescharacteristic
22#16839926C418yescomplemented
23C2×#14519702C2211yescharacteristic
24C2×#14519700C2211yescharacteristic
25C2×#14519700C2211yescharacteristic
26C2×#14519700C2211yescharacteristic
27C2×#14519700C2211yescharacteristic
28C2×#14519699C2211yescharacteristic
29C2×#14519697C2211yescharacteristic
30C2×#14519697C2211yescharacteristic
31C2×C22⋊#92418C2211yescharacteristic
32C2×#14519687C2211yescharacteristic
33C2×#14519687C2211yescharacteristic
34#16839667C2211yescharacteristic
35#16839667C2211yescharacteristic
36#16839667C2211yescharacteristic
37#16839663C2211yescharacteristic
38#16839663C2211yescharacteristic
39#16839658C2211yescharacteristic
40#16839644—21no—
41#16839639—21no—
42#16839639—21no—
43#16839634—21no—
44C4⋊C4×Dic61C2211yescharacteristic
45#16839613—21no—
46C22⋊C4×Dic61—21no—
47C4×#11758198—21no—
48C4×#11758198—21no—
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839516C2211yescharacteristic
52#16839516C2211yescharacteristic
53C2×#117×C61C2211yescharacteristic
54C2×#107×C61C2211yescharacteristic
55C2×#106×C61C2211yescharacteristic
56C2×C22⋊C8×C61C2211yescharacteristic
57C61×#380C2211yescharacteristic
58C61×#340C2211yescharacteristic
59C61×#340C2211yescharacteristic
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—
70C23×Dic61D411yescharacteristic
71C23×Dic61D411yescharacteristic
72C22×C4×D61—21no—
73C2×Dic244—41no—
74C2×Dic244—41no—
75C2×Dic244C2×C414yescomplemented
76C2×#11758190—41no—
77C2×#11758190—41no—
78C2×#11758190C2×C414yescomplemented
79C22×#92418C2311yescharacteristic
80C22×#92418C2311yescharacteristic
81#14519756—22no—
82#14519756C2×C414yes—
83#14519742—41no—
84#14519742—41no—
85C2×C4⋊Dic61C2311yescharacteristic
86C2×#11758196—21no—
87C2×#11758196—21no—
88C2×#11758196—21no—
89C2×C22⋊Dic61—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C2×#11758198—21no—
94C2×C4×Dic61—21no—
95C2×C4×Dic61—21no—
96C2×C4×Dic61—41no—
97C2×C4×Dic61—41no—
98C2×C4×Dic61D411yescharacteristic
99C2×C4×Dic61D411yescharacteristic
100C2×C4×Dic61C2311yescharacteristic
101C2×C4×Dic61C2311yescharacteristic
102#14519702C2×C414yescomplemented
103#14519700—41no—
104#14519700—41no—
105#14519700—41no—
106#14519700—41no—
107#14519699C2×C414yescomplemented
108#14519697—41no—
109#14519697—41no—
110C22⋊#92418—22no—
111#14519687—41no—
112#14519687—41no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121C23×C4×C61C2311yescharacteristic
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124#117×C61—41no—
125#117×C61—41no—
126C2×C4⋊C4×C61C2311yescharacteristic
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C22⋊C4×C61—21no—
131C2×C22⋊C4×C61—21no—
132C2×C42×C61—21no—
133#107×C61—41no—
134#106×C61—41no—
135C22⋊C8×C61C2×C414yes—
136#95×C61—21no—
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—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61C22×C412yes—
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61#4112yes—
150C22×C4×C61C2411yescharacteristic
151C2×C22⋊D61—24no—
152C2×C22⋊D61—42no—
153C2×C22⋊D61—42no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—22no—
158C22×Dic61—41no—
159C22×Dic61—41no—
160C22×Dic61—41no—
161C22×Dic61—41no—
162C22×Dic61—41no—
163C22×Dic61C2×D411yescharacteristic
164C22×Dic61C2×D411yescharacteristic
165C22×Dic61C2×D411yescharacteristic
166C22×Dic61C2×D411yescharacteristic
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×C61C22×C412yes—
197C2×C8×C61C22×C412yes—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—21no—
206C22⋊C4×C61—42no—
207C22⋊C4×C61—42no—
208C42×C61—42no—
209C22⋊Dic61—24no—
210#11758198—42no—
211#11758198—42no—
212#11758198—42no—
213#11758198—42no—
214C4⋊Dic61—21no—
215C4⋊Dic61C22×C412yes—
216#11758196—24no—
217#11758196—42no—
218#11758196—42no—
219C4×Dic61—21no—
220C4×Dic61—21no—
221C4×Dic61—21no—
222C4×Dic61—21no—
223C4×Dic61—41no—
224C4×Dic61—41no—
225C4×Dic61—42no—
226C4×Dic61—42no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
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—22no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61C4×D412yes—
269C2×C4×C61C23×C411yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61H(5,𝔽2)11yescharacteristic
272C2×C4×C61H(5,𝔽2)11yescharacteristic
273C2×C4×C61H(5,𝔽2)11yescharacteristic
274C2×C4×C61H(5,𝔽2)11yescharacteristic
275C22⋊D61—48no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—22no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—44no—
291C2×Dic61—44no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61#13712yes—
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—
314#92418—41no—
315#92418—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—81no—
340C4×C61—81no—
341C4×C61—81no—
342C4×C61—81no—
343C4×C61#51811yescharacteristic
344C4×C61#51811yescharacteristic
345C4×C61#53811yescharacteristic
346C4×C61#53811yescharacteristic
347Dic61—22no—
348Dic61—42no—
349Dic61—42no—
350Dic61—41no—
351Dic61—41no—
352Dic61—41no—
353Dic61—42no—
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#1854D6111yescharacteristic, complemented
367#1788—611no—
368#1749—611no—
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×#117C2×D6111yescharacteristic
384C22×C42—611no—
385#452—618no—
386C2×#107C2×D6111yescharacteristic
387C2×#106C2×D6111yescharacteristic
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⋊C8—611no—
397C2×C22⋊C8C2×D6111yescharacteristic
398C2×#97—611no—
399C2×#97—611no—
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#380C2×D6111yescharacteristic
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#340C2×D6111yescharacteristic
419#340C2×D6111yescharacteristic
420#336—611no—
421#336—611no—
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—611no—
434C23×C4—611no—
435C23×C4—1221no—
436C23×C4C22×D6111yescharacteristic
437C2×Q16—614no—
438C2×Q16—2441no—
439C2×Q16—2441no—
440C2×SD16—614no—
441C2×SD16—2441no—
442C2×SD16—2441no—
443C22×C8—611no—
444C22×C8—611no—
445C22×C8C22×D6111yescharacteristic
446C22×C8C22×D6111yescharacteristic
447C22⋊Q8—614no—
448C22⋊Q8—1222no—
449C4×Q8—2441no—
450C4×Q8—2441no—
451#117—41no—
452#117—41no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—1221no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4C22×D6111yescharacteristic
458C2×C4⋊C4C22×D6111yescharacteristic
459C2×C4⋊C4C22×D6111yescharacteristic
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C42—21no—
469C2×C42—611no—
470C2×C42—611no—
471C2×C42—611no—
472C2×C42—611no—
473C2×C42—1221no—
474C2×C42—1221no—
475C2×C42—2441no—
476C2×C42—2441no—
477#107—41no—
478#106—41no—
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—1222no—
488C22⋊C8C4×D6114yes—
489#97—2441no—
490#97—2441no—
491#95—21no—
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—
501C24D4×D6111yescharacteristic
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—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—1222no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1224no—
544C22×C4—2442no—
545C22×C4—2442no—
546C22×C4—2441no—
547C22×C4—2441no—
548C22×C4—2441no—
549C22×C4—2441no—
550C22×C4—2441no—
551C22×C4C2×C4×D6112yes—
552C22×C4D4×D6111yescharacteristic
553C22×C4#1175822612yes—
554C22×C4C23×D6111yescharacteristic
555Q16—2444no—
556SD16—2444no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8C2×C4×D6112yes—
568C2×C8C2×C4×D6112yes—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—612no—
578C4⋊C4—1221no—
579C4⋊C4—1224no—
580C4⋊C4—2442no—
581C4⋊C4—2442no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—1224no—
585C22⋊C4—2442no—
586C22⋊C4—2442no—
587C22⋊C4—2442no—
588C22⋊C4—2442no—
589C42—42no—
590C42—1221no—
591C42—1221no—
592C42—1221no—
593C42—1221no—
594C42—2441no—
595C42—2441no—
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—
611C23#1451973912yes—
612C23C2×D4×D6111yescharacteristic
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—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—612no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—2448no—
660C2×C4—2444no—
661C2×C4—2444no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4#1451973912yes—
669C2×C4C22×C4×D6111yescharacteristic
670C2×C4C2×#1175822611yescharacteristic
671C2×C4#1451982211yescharacteristic
672C2×C4#1451982211yescharacteristic
673C2×C4#1451982311yescharacteristic
674C2×C4#1451982311yescharacteristic
675C8—22no—
676C8—22no—
677C8—2441no—
678C8—2441no—
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×#1451973911yescharacteristic
694C22#1684032311yescharacteristic
695C22#1684032711yescharacteristic
696C22#137×D6111yescharacteristic
697C22#1684055811yescharacteristic
698C22#1684055911yescharacteristic
699C22#1684055911yescharacteristic
700C4—22no—
701C4—81no—
702C4—81no—
703C4—81no—
704C4—81no—
705C4—1222no—
706C4—2441no—
707C4—2441no—
708C4—2441no—
709C4—2442no—
710C4—2442no—
711C4—2442no—
712C4#1684023411yescharacteristic
713C4#1684023411yescharacteristic
714C4#1684035211yescharacteristic
715C4#1684035211yescharacteristic
716C2—42no—
717C2—4882no—
718C2#2144847611yescharacteristic
719C2#2145461911yescharacteristic
720C2#2145463711yescharacteristic
721C2#2145665311yescharacteristic
722C2#2145665911yescharacteristic
723C2#2145682711yescharacteristic
724C2#2145685411yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1854C2
socleC23×C61C22×D4
prime radicalC22×#11758222C22
cosocleC22×C4×C61C24
hypercenter#1854D61
hypocenterC61#22048
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1854

Complements

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

NH ≅ G/Ntype
2. #21448347C2semidirect
4. #21446698C2semidirect
5. #21446688C2semidirect
6. #21446514C2semidirect
7. #21446507C2semidirect
8. #21446459C2semidirect
9. #21446445C2semidirect
10. #21446175C2semidirect
11. #21446161C2semidirect
12. #21446131C2semidirect
14. #21445583C2semidirect
15. C61×#1854C2semidirect
22. #16839926C4semidirect
75. C2×Dic244C2×C4semidirect
78. C2×#11758190C2×C4semidirect
102. #14519702C2×C4semidirect
107. #14519699C2×C4semidirect
366. #1854D61semidirect
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
#214483472
#214483072
#214466982
#214466882
#214465142
#214465072
#214464592
#214464452
#214461752
#214461612
#214461312
#214457572
#214455832
C61×#18542
#2204861