Finite Group Databasebeta

← #29723738

Subgroups — #29723738

Order 15616.

958 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840101C211yesmaximal, characteristic, complemented
2#21449178C211yesmaximal, characteristic
3#21448769C211yesmaximal, characteristic
4#21447360C211yesmaximal, characteristic, complemented
5#21447230C211yesmaximal, characteristic, complemented
6#21447021C211yesmaximal, characteristic, complemented
7#21447013C211yesmaximal, characteristic, complemented
8#21446463C211yesmaximal, characteristic, complemented
9#21446462C211yesmaximal, characteristic, complemented
10#21446128C211yesmaximal, characteristic, complemented
11#21446116C211yesmaximal, characteristic
12#21446018C211yesmaximal, characteristic, complemented
13#21445852C211yesmaximal, characteristic, complemented
14#21445754C211yesmaximal, characteristic, complemented
15C2×C61×#419C211yesmaximal, characteristic, complemented
16C2×#14519753C2211yescharacteristic
17C2×#14519753C2211yescharacteristic
18C2×C4×C22⋊D61C2211yescharacteristic
19C2×#14519735C2211yescharacteristic
20#16840101—24no—
21C2×#14519711C2211yescharacteristic
22C2×#14519710C2211yescharacteristic
23C2×#14519709C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
25C2×#14519701C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519701C2211yescharacteristic
29C2×C22⋊#92418C2211yescharacteristic
30C2×#14519689C2211yescharacteristic
31C2×#14519689C2211yescharacteristic
32#16839681—21no—
33#16839673—21no—
34#16839669C2211yescharacteristic
35#16839669C2211yescharacteristic
36#16839662—21no—
37#16839653—21no—
38#16839650—21no—
39#16839641—21no—
40#16839635—21no—
41#16839631C2211yescharacteristic
42#16839622C2211yescharacteristic
43#16839622C2211yescharacteristic
44#16839619C2211yescharacteristic
45C4⋊C4×Dic61C2211yescharacteristic
46C4×#11758196—21no—
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839516C2211yescharacteristic
52#16839516C2211yescharacteristic
53C23×Q8×C61C2211yescharacteristic
54C22×M16×C61C2211yescharacteristic
55C2×#117×C61C2211yescharacteristic
56C61×#419—24no—
57C2×#103×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C2×#103×C61C2211yescharacteristic
60C2×#103×C61C2211yescharacteristic
61C22×C22⋊D61D411yescharacteristic
62C22×C4×D61C2311yescharacteristic
63C22×#92418C2311yescharacteristic
64C22×#92418C2311yescharacteristic
65#14519753—22no—
66#14519753—22no—
67#14519753—41no—
68#14519753—41no—
69C4×C22⋊D61—22no—
70C4×C22⋊D61—22no—
71#14519735—22no—
72#14519735—41no—
73C2×C4⋊Dic61C2311yescharacteristic
74C2×C4⋊Dic61C2311yescharacteristic
75C2×C4⋊Dic61C2311yescharacteristic
76C2×C4⋊Dic61C2311yescharacteristic
77C2×#11758196—21no—
78C2×#11758196—21no—
79C2×#11758196—21no—
80C2×#11758196—21no—
81C2×#11758196D411yescharacteristic
82C2×C22⋊Dic61—21no—
83C2×C22⋊Dic61—21no—
84C2×C22⋊Dic61D411yescharacteristic
85C2×#11758198—21no—
86C2×#11758198—21no—
87C2×#11758198—21no—
88C2×#11758198—21no—
89C2×#11758198D411yescharacteristic
90C2×C4×Dic61—21no—
91C2×C4×Dic61—21no—
92C2×C4×Dic61C2311yescharacteristic
93#14519711—41no—
94#14519710—22no—
95#14519709—22no—
96#14519708—41no—
97#14519701—22no—
98#14519701—22no—
99#14519701—41no—
100#14519701—41no—
101C22⋊#92418—22no—
102#14519689—22no—
103#14519689—41no—
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112C22×Q8×C61—21no—
113C22×Q8×C61—22no—
114C22×Q8×C61—22no—
115C22×Q8×C61—22no—
116C22×Q8×C61—22no—
117C22×Q8×C61—41no—
118C22×Q8×C61—41no—
119C22×Q8×C61C2311yescharacteristic
120C22×Q8×C61C2311yescharacteristic
121C23×C4×C61—21no—
122C23×C4×C61C2311yescharacteristic
123C2×M16×C61—22no—
124C2×M16×C61—22no—
125C2×M16×C61—41no—
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128#117×C61—22no—
129#117×C61—41no—
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C22⋊C4×C61—21no—
133C2×C42×C61—21no—
134#103×C61—22no—
135#103×C61—22no—
136#103×C61—22no—
137#103×C61D414yescomplemented
138C24×C61C2×D411yescharacteristic
139C23×D61C2×D411yescharacteristic
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—28no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—21no—
150C2×Q8×C61—21no—
151C2×Q8×C61—42no—
152C2×Q8×C61—42no—
153C2×Q8×C61—44no—
154C2×Q8×C61—44no—
155C2×Q8×C61—44no—
156C2×Q8×C61—42no—
157C2×Q8×C61C2×D412yes—
158C2×Q8×C61#4112yes—
159C22×C4×C61—21no—
160C22×C4×C61—21no—
161C22×C4×C61—21no—
162C22×C4×C61—21no—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61—21no—
167C22×C4×C61—42no—
168C22×C4×C61—42no—
169C22×C4×C61—42no—
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61#4112yes—
172C22×C4×C61#4112yes—
173C22×C4×C61C2411yescharacteristic
174C2×C22⋊D61—22no—
175C2×C22⋊D61—22no—
176C2×C22⋊D61—41no—
177C22×Dic61—21no—
178C22×Dic61—21no—
179C22×Dic61—21no—
180C22×Dic61—21no—
181C22×Dic61C2×D411yescharacteristic
182C22×Dic61C2×D411yescharacteristic
183C22×Dic61C2×D411yescharacteristic
184C2×C4×D61—21no—
185C2×C4×D61—21no—
186C2×C4×D61—21no—
187C2×C4×D61—21no—
188C2×C4×D61—21no—
189C2×C4×D61—21no—
190M16×C61—44no—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61C2×D412yes—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61C2×D412yes—
201C22⋊C4×C61—42no—
202C42×C61—42no—
203C22⋊Dic61—22no—
204C22⋊Dic61—42no—
205C22⋊Dic61—81no—
206#11758198—22no—
207#11758198—42no—
208#11758198—42no—
209#11758198—42no—
210#11758198—81no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219#11758196—22no—
220#11758196—42no—
221#11758196—42no—
222#11758196—42no—
223#11758196—81no—
224C4×Dic61—21no—
225C4×Dic61—21no—
226C4×Dic61—42no—
227C4×Dic61—42no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61#12312yes—
241C23×C61C22×D411yescharacteristic
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249Q8×C61—22no—
250Q8×C61—22no—
251Q8×C61—22no—
252Q8×C61—22no—
253Q8×C61—48no—
254Q8×C61—41no—
255Q8×C61—41no—
256Q8×C61—41no—
257Q8×C61—41no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—48no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61#12312yes—
278C2×C4×C61C22×D411yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61H(5,𝔽2)11yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C22⋊D61—44no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61#13712yes—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—41no—
309C4×D61—41no—
310C8×C61—22no—
311C8×C61—41no—
312#92418—41no—
313#92418—41no—
314#24892—611nomaximal, Sylow
315C22×C61—22no—
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61C2×#12311yescharacteristic
323C22×C61D4211yescharacteristic
324C22×C61#54611yescharacteristic
325C22×C61C2×#13711yescharacteristic
326C22×C61#57511yescharacteristic
327C22×C61#57711yescharacteristic
328C22×C61#57811yescharacteristic
329C2×D61—41no—
330C2×D61—41no—
331C2×D61—41no—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61—41no—
336C4×C61—22no—
337C4×C61—42no—
338C4×C61—42no—
339C4×C61—42no—
340C4×C61—81no—
341C4×C61#52511yescharacteristic
342C4×C61#53811yescharacteristic
343C4×C61#54611yescharacteristic
344C4×C61#55111yescharacteristic
345Dic61—22no—
346Dic61—41no—
347Dic61—41no—
348Dic61—81no—
349Dic61—81no—
350Dic61—81no—
351Dic61—81no—
352C2×#485—611no—
353C2×#419D6111yescharacteristic, complemented
354#2409—611no—
355#2354—611no—
356#2096—611no—
357#2072—611no—
358#2036—611no—
359#2035—611no—
360#1928—611no—
361#1928—611no—
362#1873—611no—
363#1870—611no—
364#1854—611no—
365#1809—611no—
366#1787—611no—
367C2×C61—42no—
368C2×C61#241811yescharacteristic
369C2×C61#309511yescharacteristic
370C2×C61#309711yescharacteristic
371C2×C61#326911yescharacteristic
372C2×C61#327811yescharacteristic
373C2×C61#332111yescharacteristic
374C2×C61#332811yescharacteristic
375D61—81no—
376C23×Q8C2×D6111yescharacteristic
377C22×M16C2×D6111yescharacteristic
378C2×C22⋊Q8—611no—
379C2×C22⋊Q8—611no—
380C2×C4×D4—611no—
381C2×#117—611no—
382C2×#117C2×D6111yescharacteristic
383#485—1224no—
384C2×#107—611no—
385C2×#107—611no—
386C2×#106—611no—
387C2×#106—611no—
388#419—24no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#103C2×D6111yescharacteristic
394C2×#103C2×D6111yescharacteristic
395C2×#103C2×D6111yescharacteristic
396C2×#103C2×D6111yescharacteristic
397C2×C22⋊C8—611no—
398C2×C22⋊C8—611no—
399C2×C22⋊C8—611no—
400#395—1221no—
401#393—1221no—
402#391—611no—
403#391—611no—
404#390—1221no—
405#388—1221no—
406#388—1221no—
407#386—1221no—
408#385—1221no—
409#384—611no—
410#380—611no—
411#380—611no—
412#380—611no—
413C4×C4⋊C4—611no—
414C4×C4⋊C4—1221no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419#336—611no—
420#336—611no—
421C61#2489211yescharacteristic, complemented, Sylow
422C22×Q8—21no—
423C22×Q8—22no—
424C22×Q8—22no—
425C22×Q8—22no—
426C22×Q8—22no—
427C22×Q8—41no—
428C22×Q8—41no—
429C22×Q8C22×D6111yescharacteristic
430C22×Q8C22×D6111yescharacteristic
431C22×D4—611no—
432C23×C4—21no—
433C23×C4—611no—
434C23×C4C22×D6111yescharacteristic
435C2×M16—22no—
436C2×M16—22no—
437C2×M16—41no—
438C22×C8—611no—
439C22×C8—611no—
440C22×C8C22×D6111yescharacteristic
441C22×C8C22×D6111yescharacteristic
442C22⋊Q8—1222no—
443C22⋊Q8—1222no—
444C22⋊Q8—2441no—
445C22⋊Q8—2441no—
446C4×D4—1222no—
447C4×D4—1222no—
448#117—22no—
449#117—41no—
450#117—1222no—
451#117—2441no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—611no—
465C2×C22⋊C4—611no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C42—21no—
473C2×C42—611no—
474C2×C42—1221no—
475C2×C42—1221no—
476#107—1222no—
477#107—2441no—
478#106—1222no—
479#106—2441no—
480#103—22no—
481#103—22no—
482#103—22no—
483#103—1222no—
484#103—1222no—
485#103—2441no—
486#103—2441no—
487#103C22⋊D6114yescomplemented
488C22⋊C8—1222no—
489C22⋊C8—1222no—
490C22⋊C8—2441no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499C24—611no—
500C24D4×D6111yescharacteristic
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—28no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—42no—
513C2×Q8—42no—
514C2×Q8—44no—
515C2×Q8—44no—
516C2×Q8—44no—
517C2×Q8—42no—
518C2×Q8#1175822212yes—
519C2×Q8C2×C22⋊D6112yes—
520C2×D4—1222no—
521C2×D4—1222no—
522C2×D4—2441no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—611no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4#1175822212yes—
548C22×C4D4×D6111yescharacteristic
549C22×C4#1175822412yes—
550C22×C4C23×D6111yescharacteristic
551M16—44no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8C2×C22⋊D6112yes—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—1222no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—4881no—
577C4⋊C4—2442no—
578C4⋊C4—2442no—
579C4⋊C4—2442no—
580C4⋊C4C2×C22⋊D6112yes—
581C22⋊C4—42no—
582C22⋊C4—1222no—
583C22⋊C4—1222no—
584C22⋊C4—4881no—
585C22⋊C4—4881no—
586C22⋊C4—2442no—
587C22⋊C4—2442no—
588C22⋊C4—2442no—
589C22⋊C4—2442no—
590C42—42no—
591C42—1221no—
592C42—1221no—
593C42—2442no—
594C42—2442no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—1221no—
602C23—1221no—
603C23—1221no—
604C23—1221no—
605C23—1221no—
606C23—1221no—
607C23—1221no—
608C23#1451975912yes—
609C23C2×D4×D6111yescharacteristic
610Q8—22no—
611Q8—22no—
612Q8—22no—
613Q8—22no—
614Q8—48no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619D4—2444no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—48no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—612no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—2441no—
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#1451975912yes—
665C2×C4C22×C22⋊D6111yescharacteristic
666C2×C4C2×#1175822411yescharacteristic
667C2×C4C2×#1175822211yescharacteristic
668C2×C4C2×#1175822211yescharacteristic
669C2×C4#1451982211yescharacteristic
670C2×C4#1451982211yescharacteristic
671C8—22no—
672C8—41no—
673C8—2441no—
674C8—2441no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—2441no—
683C22—2441no—
684C22—2441no—
685C22—2441no—
686C22—2441no—
687C22—2441no—
688C22—2441no—
689C22C2×#1451975911yescharacteristic
690C22D4×C22⋊D6111yescharacteristic
691C22#1684040211yescharacteristic
692C22#137×D6111yescharacteristic
693C22#1684056111yescharacteristic
694C22#1684057111yescharacteristic
695C22#1684057811yescharacteristic
696C4—22no—
697C4—42no—
698C4—42no—
699C4—42no—
700C4—81no—
701C4—1222no—
702C4—4881no—
703C4—4881no—
704C4—4881no—
705C4—4881no—
706C4—2441no—
707C4—2441no—
708C4#1684027311yescharacteristic
709C4#1684035011yescharacteristic
710C4#1684040611yescharacteristic
711C4#1684043811yescharacteristic
712C2—42no—
713C2—4881no—
714C2#2144928111yescharacteristic
715C2#2145576511yescharacteristic
716C2#2145578611yescharacteristic
717C2#2145736811yescharacteristic
718C2#2145747911yescharacteristic
719C2#2145800611yescharacteristic
720C2#2145809811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#419C2
socleC23×C61C22×D4
prime radicalC22×C22⋊D61D4
hypercenterC2×#419D61
hypocenterC61#24892
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#419

Complements

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

NH ≅ G/Ntype
1. C2×#16840101C2semidirect
4. #21447360C2semidirect
5. #21447230C2semidirect
6. #21447021C2semidirect
7. #21447013C2semidirect
8. #21446463C2semidirect
9. #21446462C2semidirect
10. #21446128C2semidirect
12. #21446018C2semidirect
13. #21445852C2semidirect
14. #21445754C2semidirect
15. C2×C61×#419C2semidirect
137. #103×C61D4semidirect
353. C2×#419D61semidirect
421. C61#24892semidirect
487. #103C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168401012
#214491782
#214487692
#214473602
#214472302
#214470212
#214470132
#214464632
#214464622
#214461282
#214461162
#214460182
#214458522
#214457542
C2×C61×#4192
#2489261