Finite Group Databasebeta

← #29647186

Subgroups — #29647186

Order 15616.

1364 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840307C211yesmaximal, characteristic
2#21454448C211yesmaximal, characteristic, complemented
3C4×#14519733C211yesmaximal, characteristic, complemented
4#21444336C211yesmaximal, characteristic, complemented
5#21444335C211yesmaximal, characteristic, complemented
6#21444334C211yesmaximal, characteristic, complemented
7#21444325C214yesmaximal, complemented
8#21444312C214yesmaximal, complemented
9C61×#1507C211yesmaximal, characteristic, complemented
10C22×#11758224—21no—
11#16840307—21no—
12#16840307—21no—
13#16840307—21no—
14#16840307—21no—
15#16840307C412yescomplemented
16#16840307C412yescomplemented
17#16840307C2212yes—
18#16840307C2212yes—
19C2×#14519776C411yescharacteristic, complemented
20C2×#14519773C411yescharacteristic, complemented
21C2×#14519763—21no—
22C2×#14519751C2211yescharacteristic
23C2×#14519749—21no—
24C2×D4×Dic61C411yescharacteristic, complemented
25C2×#14519739C411yescharacteristic, complemented
26C2×#14519737—21no—
27C2×#14519733—21no—
28C22×C4×Dic61C2211yescharacteristic
29#16839816—21no—
30#16839816C2212yescomplemented
31#16839812—21no—
32#16839812C2212yescomplemented
33#16839785—21no—
34#16839726C2211yescharacteristic
35M16×Dic61—21no—
36C4×#11758196—21no—
37#16839613C2212yescomplemented
38C22⋊C4×Dic61—21no—
39C4×C22⋊Dic61C2211yescharacteristic
40#16839607C2212yescomplemented
41C42×Dic61—21no—
42#16839497C2214yescomplemented
43#16839496C2214yescomplemented
44#16839495C2214yescomplemented
45C2×#121×C61C2211yescharacteristic
46C61×#407C2211yescharacteristic
47C4×C22⋊C4×C61C2211yescharacteristic
48C61×#327C2214yescomplemented
49C2×#11758224—22no—
50C2×#11758224—22no—
51C2×#11758224—22no—
52C2×#11758224—22no—
53C2×#11758224—48no—
54C22×Dic122—21no—
55C22×D244C2×C411yescharacteristic
56C22×C22⋊D61—21no—
57C22×C22⋊D61—21no—
58C22×C22⋊D61—21no—
59C23×Dic61—21no—
60C23×Dic61D411yescharacteristic
61C23×Dic61D411yescharacteristic
62C22×C4×D61—21no—
63C2×#11758194—21no—
64#14519776—21no—
65#14519776—21no—
66#14519776C2×C412yes—
67#14519776C2×C412yes—
68#14519773—21no—
69#14519773—21no—
70#14519773C2×C412yes—
71#14519773C2×C412yes—
72#14519763—22no—
73#14519763—22no—
74#14519763—22no—
75#14519763—22no—
76#14519751—21no—
77#14519751—21no—
78#14519751C2×C412yes—
79#14519751C2312yes—
80#14519749—22no—
81#14519749—22no—
82#14519749—22no—
83#14519749—22no—
84D4×Dic61—21no—
85D4×Dic61—21no—
86D4×Dic61C2×C412yes—
87D4×Dic61C2×C412yes—
88#14519739—21no—
89#14519739—21no—
90#14519739C2×C412yes—
91#14519739C2×C412yes—
92#14519737—22no—
93#14519737—22no—
94#14519737—22no—
95#14519737—22no—
96#14519733—28no—
97C2×C4⋊Dic61C2×C411yescharacteristic
98C2×#11758196—21no—
99C2×#11758196—22no—
100C2×C22⋊Dic61—21no—
101C2×C22⋊Dic61—21no—
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×C4×Dic61—22no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61—22no—
107C2×C4×Dic61C2×C411yescharacteristic
108C2×C4×Dic61C2×C411yescharacteristic
109C2×C4×Dic61C2×C411yescharacteristic
110C2×C4×Dic61C2×C411yescharacteristic
111C2×C4×Dic61D411yescharacteristic
112C2×C4×Dic61D411yescharacteristic
113C2×C4×Dic61D411yescharacteristic
114C2×C4×Dic61D411yescharacteristic
115C2×C4×Dic61D411yescharacteristic
116C2×C4×Dic61D411yescharacteristic
117C2×C4×Dic61C2311yescharacteristic
118C2×C4×Dic61C2311yescharacteristic
119#14519706—22no—
120#14519706—22no—
121C22⋊#92418—21no—
122C22⋊#92418C2312yes—
123#14519687—22no—
124C8×Dic61—22no—
125#14519684—22no—
126#14519684C2312yes—
127C22×D4×C61—21no—
128C22×D4×C61C2×C411yescharacteristic
129C23×C4×C61C2311yescharacteristic
130C2×M16×C61—21no—
131#121×C61—21no—
132#121×C61—21no—
133#121×C61C2×C412yes—
134#121×C61C2312yes—
135C2×C4⋊C4×C61C2×C411yescharacteristic
136C2×C22⋊C4×C61—21no—
137C2×C22⋊C4×C61—21no—
138C2×C42×C61—21no—
139C22⋊C8×C61—21no—
140C22⋊C8×C61C2312yes—
141#95×C61C2312yes—
142C24×C61—21no—
143C24×C61C2×D411yescharacteristic
144C23×D61—21no—
145C2×D4×C61—22no—
146C2×D4×C61—22no—
147C2×D4×C61—21no—
148C2×D4×C61—42no—
149C2×D4×C61—44no—
150C2×D4×C61C22×C412yes—
151C22×C4×C61—21no—
152C22×C4×C61—22no—
153C22×C4×C61—42no—
154C22×C4×C61C22×C411yescharacteristic
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2411yescharacteristic
160C2×C22⋊D61—22no—
161C2×C22⋊D61—22no—
162C2×C22⋊D61—22no—
163C2×C22⋊D61—22no—
164C2×C22⋊D61—22no—
165C2×C22⋊D61—22no—
166C2×C22⋊D61—44no—
167C2×C22⋊D61—44no—
168C2×C22⋊D61—44no—
169C22×Dic61—24no—
170C22×Dic61—24no—
171C22×Dic61—21no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—22no—
175C22×Dic61—44no—
176C22×Dic61C22⋊C411yescharacteristic
177C22×Dic61C22⋊C411yescharacteristic
178C22×Dic61C22⋊C411yescharacteristic
179C22×Dic61C22⋊C411yescharacteristic
180C22×Dic61C22⋊C411yescharacteristic
181C22×Dic61C22⋊C411yescharacteristic
182C22×Dic61C22⋊C411yescharacteristic
183C22×Dic61C22⋊C411yescharacteristic
184C22×Dic61C2×D411yescharacteristic
185C22×Dic61C2×D411yescharacteristic
186C22×Dic61C2×D411yescharacteristic
187C22×Dic61C2×D411yescharacteristic
188#11758224—48no—
189#11758224—48no—
190#11758224—48no—
191#11758224—48no—
192C2×D244—21no—
193C2×D244—42no—
194C2×D244C22×C412yes—
195C2×C4×D61—22no—
196C2×C4×D61—22no—
197C2×C4×D61—44no—
198C2×Dic122—22no—
199C2×Dic122—22no—
200C2×Dic122—44no—
201M16×C61—42no—
202C2×C8×C61—22no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61C22×C412yes—
205C22⋊C4×C61—24no—
206C22⋊C4×C61—22no—
207C22⋊C4×C61—22no—
208C42×C61—42no—
209C22⋊Dic61—24no—
210C22⋊Dic61—22no—
211C22⋊Dic61—22no—
212#11758198—22no—
213#11758198—22no—
214#11758198—22no—
215#11758198—22no—
216C4⋊Dic61—21no—
217C4⋊Dic61C22×C412yes—
218#11758196—28no—
219#11758196—22no—
220#11758196—22no—
221C4×Dic61—28no—
222C4×Dic61—42no—
223C4×Dic61—44no—
224C4×Dic61C22⋊C411yescharacteristic
225C4×Dic61C22⋊C411yescharacteristic
226C4×Dic61C22⋊C411yescharacteristic
227C4×Dic61C22⋊C411yescharacteristic
228C4×Dic61C22⋊C411yescharacteristic
229C4×Dic61C22⋊C411yescharacteristic
230C4×Dic61C22⋊C411yescharacteristic
231C4×Dic61C22⋊C411yescharacteristic
232C4×Dic61C22×C411yescharacteristic
233C4×Dic61C22×C411yescharacteristic
234C4×Dic61C22×C411yescharacteristic
235C4×Dic61C22×C411yescharacteristic
236C4×Dic61C2×D411yescharacteristic
237C4×Dic61C2×D411yescharacteristic
238C4×Dic61C2×D411yescharacteristic
239C4×Dic61C2×D411yescharacteristic
240#11758194—42no—
241C2×#92418—22no—
242C23×C61—22no—
243C23×C61—22no—
244C23×C61—22no—
245C23×C61—41no—
246C23×C61—42no—
247C23×C61—42no—
248C23×C61—42no—
249C23×C61C2×C22⋊C411yescharacteristic
250C23×C61C2×C22⋊C411yescharacteristic
251C23×C61C22×D411yescharacteristic
252C22×D61—22no—
253C22×D61—42no—
254C22×D61—42no—
255C22×D61—42no—
256D4×C61—42no—
257D4×C61—44no—
258D4×C61—44no—
259D4×C61—42no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—24no—
264C2×C4×C61—22no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—42no—
269C2×C4×C61—42no—
270C2×C4×C61—42no—
271C2×C4×C61C2×C22⋊C411yescharacteristic
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C23×C411yescharacteristic
274C2×C4×C61C22×D411yescharacteristic
275C22⋊D61—44no—
276C22⋊D61—44no—
277C22⋊D61—44no—
278C22⋊D61—44no—
279C22⋊D61—44no—
280C22⋊D61—44no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—24no—
292C2×Dic61—22no—
293C2×Dic61—44no—
294C2×Dic61—42no—
295C2×Dic61—42no—
296C2×Dic61—42no—
297C2×Dic61—44no—
298C2×Dic61#10414yes—
299C2×Dic61C2×C22⋊C411yescharacteristic
300C2×Dic61C2×C22⋊C411yescharacteristic
301C2×Dic61C2×C22⋊C411yescharacteristic
302C2×Dic61C2×C22⋊C411yescharacteristic
303C2×Dic61C2×C22⋊C411yescharacteristic
304C2×Dic61C2×C22⋊C411yescharacteristic
305C2×Dic61C2×C22⋊C411yescharacteristic
306C2×Dic61C2×C22⋊C411yescharacteristic
307C2×Dic61AGL(1,ℤ/8)14yes—
308D244—42no—
309D244—42no—
310C4×D61—44no—
311C4×D61—44no—
312Dic122—44no—
313Dic122—44no—
314C8×C61—42no—
315#92418—42no—
316#17544—611nomaximal, Sylow
317C22×C61—21no—
318C22×C61—21no—
319C22×C61—21no—
320C22×C61—21no—
321C22×C61—21no—
322C22×C61—21no—
323C22×C61—21no—
324C22×C61—44no—
325C22×C61—42no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—84no—
329C22×C61C2×#10412yes—
330C22×C61C22×C22⋊C411yescharacteristic
331C22×C61C2×AGL(1,ℤ/8)12yes—
332C2×D61—42no—
333C2×D61—42no—
334C2×D61—42no—
335C2×D61—84no—
336C4×C61—21no—
337C4×C61—21no—
338C4×C61—21no—
339C4×C61—44no—
340C4×C61—42no—
341C4×C61#41012yes—
342Dic61—21no—
343Dic61—21no—
344Dic61—21no—
345Dic61—21no—
346Dic61—44no—
347Dic61—42no—
348Dic61#41812yes—
349Dic61#41812yes—
350Dic61C2×#10412yes—
351Dic61C2×#10412yes—
352C2×#532—611no—
353#2920—611no—
354C4×#117—611no—
355#1507—611no—
356#1507—611no—
357#1507—611no—
358#1507D6111yescharacteristic, complemented
359#1505—614no—
360#1502—614no—
361C2×C61—22no—
362C2×C61—22no—
363C2×C61—41no—
364C2×C61—82no—
365C2×C61C2×#41011yescharacteristic
366C2×C61C2×#41811yescharacteristic
367C2×C61C22×#10411yescharacteristic
368D61—82no—
369C22×#41—1221no—
370#532—612no—
371#532—612no—
372#532—612no—
373#532—612no—
374#532—1221no—
375#532—1221no—
376#532—1221no—
377#532—1221no—
378C2×C4⋊Q8—611no—
379C2×#127—611no—
380C2×#124—1221no—
381C2×#121—611no—
382C2×#121—1221no—
383C2×#121C2×D6111yescharacteristic
384C2×C4×D4—611no—
385C2×C4×D4—611no—
386C2×C4×D4—1221no—
387C2×#117—1221no—
388C22×C42—611no—
389#432—612no—
390#432—1221no—
391#431—612no—
392#431—1221no—
393#423—1221no—
394#407—611no—
395#407C2×D6111yescharacteristic
396C4×M16—1221no—
397C4×C4⋊C4—612no—
398C4×C4⋊C4—1221no—
399C4×C22⋊C4—611no—
400C4×C22⋊C4—1221no—
401C4×C22⋊C4C2×D6111yescharacteristic
402#376—612no—
403C43—1221no—
404#327—614no—
405#327—614no—
406#327—614no—
407#327C2×D6114yescomplemented
408C61#1754411yescharacteristic, complemented, Sylow
409C2×#41—1222no—
410C2×#41—1222no—
411C2×#41—1222no—
412C2×#41—1222no—
413C2×#41—2448no—
414C22×Q8—1221no—
415C22×D4—21no—
416C22×D4—611no—
417C22×D4—1221no—
418C22×D4—1221no—
419C22×D4—1221no—
420C22×D4C4×D6111yescharacteristic
421C23×C4—611no—
422C23×C4—611no—
423C23×C4—1221no—
424C23×C4—1221no—
425C23×C4C22×D6111yescharacteristic
426C2×M16—21no—
427C2×M16—1221no—
428C4⋊Q8—612no—
429C4⋊Q8—612no—
430C4⋊Q8—1221no—
431C4⋊Q8—1221no—
432#127—612no—
433#127—612no—
434#127—1221no—
435#127—1221no—
436#124—1222no—
437#124—1222no—
438#124—1222no—
439#124—1222no—
440#121—21no—
441#121—21no—
442#121—612no—
443#121—612no—
444#121—1222no—
445#121—1222no—
446#121—1222no—
447#121—1222no—
448#121—1221no—
449#121—1221no—
450#121C4×D6112yes—
451#121C22×D6112yes—
452C4×D4—612no—
453C4×D4—612no—
454C4×D4—612no—
455C4×D4—612no—
456C4×D4—1222no—
457C4×D4—1222no—
458C4×D4—1222no—
459C4×D4—1222no—
460C4×D4—1221no—
461C4×D4—1221no—
462C4×D4—1221no—
463C4×D4—1221no—
464#117—1228no—
465C2×C4⋊C4—611no—
466C2×C4⋊C4—1222no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4C4×D6111yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C42—21no—
476C2×C42—611no—
477C2×C42—611no—
478C2×C42—611no—
479C2×C42—611no—
480C2×C42—611no—
481C2×C42—611no—
482C2×C42—611no—
483C2×C42—611no—
484C2×C42—611no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42—1222no—
489C2×C42—1222no—
490C2×C42—1221no—
491C4⋊C8—1222no—
492C4⋊C8—1222no—
493C22⋊C8—21no—
494C22⋊C8—612no—
495C22⋊C8—1221no—
496C22⋊C8C22×D6112yes—
497#97—1222no—
498C4×C8—1222no—
499#95—612no—
500#95—1222no—
501#95C22×D6112yes—
502C24—21no—
503C24—1221no—
504C24D4×D6111yescharacteristic
505#41—2448no—
506#41—2448no—
507#41—2448no—
508#41—2448no—
509C2×Q8—1222no—
510C2×Q8—1222no—
511C2×Q8—2444no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—21no—
515C2×D4—42no—
516C2×D4—44no—
517C2×D4—612no—
518C2×D4—1222no—
519C2×D4—1222no—
520C2×D4—1222no—
521C2×D4—1222no—
522C2×D4—1222no—
523C2×D4—1222no—
524C2×D4—1221no—
525C2×D4—2442no—
526C2×D4—2444no—
527C2×D4—2444no—
528C2×D4—2444no—
529C2×D4C2×C4×D6112yes—
530C22×C4—22no—
531C22×C4—21no—
532C22×C4—42no—
533C22×C4—611no—
534C22×C4—611no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1224no—
548C22×C4—1224no—
549C22×C4—1222no—
550C22×C4—1222no—
551C22×C4—1222no—
552C22×C4—1221no—
553C22×C4—2444no—
554C22×C4—2444no—
555C22×C4C2×C4×D6111yescharacteristic
556C22×C4C2×C4×D6111yescharacteristic
557C22×C4D4×D6111yescharacteristic
558C22×C4D4×D6111yescharacteristic
559C22×C4D4×D6111yescharacteristic
560C22×C4C23×D6111yescharacteristic
561M16—42no—
562M16—2442no—
563C2×C8—22no—
564C2×C8—1222no—
565C4⋊C4—21no—
566C4⋊C4—612no—
567C4⋊C4—1222no—
568C4⋊C4—1222no—
569C4⋊C4—1228no—
570C4⋊C4—1221no—
571C4⋊C4C2×C4×D6112yes—
572C22⋊C4—24no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—1222no—
576C22⋊C4—1222no—
577C22⋊C4—1222no—
578C22⋊C4—1222no—
579C22⋊C4—1224no—
580C22⋊C4—1222no—
581C22⋊C4—1222no—
582C42—42no—
583C42—611no—
584C42—611no—
585C42—611no—
586C42—611no—
587C42—611no—
588C42—611no—
589C42—611no—
590C42—611no—
591C42—611no—
592C42—611no—
593C42—611no—
594C42—611no—
595C42—611no—
596C42—611no—
597C42—611no—
598C42—611no—
599C42—1228no—
600C42—2442no—
601C42—2444no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—41no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—1222no—
610C23—2442no—
611C23—2442no—
612C23—2442no—
613C23C22⋊C4×D6111yescharacteristic
614C23C22⋊C4×D6111yescharacteristic
615C23C2×D4×D6111yescharacteristic
616Q8—2444no—
617Q8—2444no—
618D4—42no—
619D4—44no—
620D4—44no—
621D4—42no—
622D4—2442no—
623D4—2444no—
624D4—2444no—
625D4—2444no—
626D4—2444no—
627D4—2444no—
628D4—2444no—
629D4—2442no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—22no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—611no—
642C2×C4—611no—
643C2×C4—611no—
644C2×C4—611no—
645C2×C4—614no—
646C2×C4—614no—
647C2×C4—611no—
648C2×C4—611no—
649C2×C4—611no—
650C2×C4—611no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1224no—
662C2×C4—1222no—
663C2×C4—2444no—
664C2×C4—2444no—
665C2×C4—2444no—
666C2×C4—2444no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4C22⋊C4×D6111yescharacteristic
671C2×C4C22⋊C4×D6111yescharacteristic
672C2×C4C22×C4×D6111yescharacteristic
673C2×C4C2×D4×D6111yescharacteristic
674C8—42no—
675C8—2442no—
676C22—21no—
677C22—21no—
678C22—21no—
679C22—21no—
680C22—21no—
681C22—21no—
682C22—21no—
683C22—44no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—84no—
688C22—4884no—
689C22—2442no—
690C22—2442no—
691C22—2442no—
692C22#104×D6112yes—
693C22C2×C22⋊C4×D6111yescharacteristic
694C22AGL(1,ℤ/8)×D6112yes—
695C4—21no—
696C4—21no—
697C4—21no—
698C4—44no—
699C4—42no—
700C4—612no—
701C4—612no—
702C4—612no—
703C4—612no—
704C4—1221no—
705C4—1221no—
706C4—1221no—
707C4—1221no—
708C4—2444no—
709C4—2442no—
710C4#1683973412yes—
711C2—22no—
712C2—22no—
713C2—41no—
714C2—82no—
715C2—4882no—
716C2C2×#1683973411yescharacteristic
717C2#418×D6111yescharacteristic
718C2C2×#104×D6111yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1507C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840307C2
cosocleC22×C4×C61C24
hypercenter#1507D61
hypocenterC61#17544
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1507

Complements

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

NH ≅ G/Ntype
2. #21454448C2semidirect
3. C4×#14519733C2semidirect
4. #21444336C2semidirect
5. #21444335C2semidirect
6. #21444334C2semidirect
7. #21444325C2semidirect
8. #21444312C2semidirect
9. C61×#1507C2semidirect
15. #16840307C4semidirect
16. #16840307C4semidirect
19. C2×#14519776C4semidirect
20. C2×#14519773C4semidirect
24. C2×D4×Dic61C4semidirect
25. C2×#14519739C4semidirect
30. #16839816C22semidirect
32. #16839812C22semidirect
37. #16839613C22semidirect
40. #16839607C22semidirect
42. #16839497C22semidirect
43. #16839496C22semidirect
44. #16839495C22semidirect
48. C61×#327C22semidirect
358. #1507D61semidirect
407. #327C2×D61semidirect
408. C61#17544semidirect

Maximal subgroups

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

subgroupindex
C2×#168403072
#214544482
C4×#145197332
#214443362
#214443352
#214443342
#214443252
#214443122
C61×#15072
#1754461