Finite Group Databasebeta

← #29739973

Subgroups — #29739973

Order 15616.

924 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×#16840087C211yesmaximal, characteristic, complemented
2C2×#16839804C211yesmaximal, characteristic, complemented
3#21449259C211yesmaximal, characteristic
4#21448768C211yesmaximal, characteristic, complemented
5#21447346C211yesmaximal, characteristic, complemented
6#21447292C211yesmaximal, characteristic, complemented
7#21447247C211yesmaximal, characteristic, complemented
8#21447002C211yesmaximal, characteristic, complemented
9#21446447C211yesmaximal, characteristic, complemented
10#21446398C211yesmaximal, characteristic, complemented
11#21446257C211yesmaximal, characteristic, complemented
12#21446139C211yesmaximal, characteristic, complemented
13#21446020C211yesmaximal, characteristic, complemented
14#21446009C211yesmaximal, characteristic, complemented
15C61×#1870C211yesmaximal, characteristic, complemented
16C2×#14519751C2211yescharacteristic
17C2×#14519751C2211yescharacteristic
18C2×#14519749—21no—
19C2×#14519736C2211yescharacteristic
20C2×#14519736C2211yescharacteristic
21C22×C4⋊Dic61C2211yescharacteristic
22#16840087—24no—
23#16839804—24no—
24C2×#14519711C2211yescharacteristic
25C2×#14519711C2211yescharacteristic
26C2×#14519711C2211yescharacteristic
27C2×#14519711C2211yescharacteristic
28C2×#14519709C2211yescharacteristic
29C2×#14519709C2211yescharacteristic
30C2×#14519699C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33C2×#14519699C2211yescharacteristic
34#16839684—21no—
35#16839678—21no—
36#16839665—21no—
37#16839664C2211yescharacteristic
38#16839660C2211yescharacteristic
39#16839655—21no—
40#16839655—21no—
41#16839639—21no—
42#16839632C2211yescharacteristic
43#16839622C2211yescharacteristic
44#16839622C2211yescharacteristic
45#16839622C2211yescharacteristic
46C4⋊C4×Dic61—21no—
47C4×C4⋊Dic61C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839525C2211yescharacteristic
54C22×M16×C61C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C2×C22⋊C8×C61C2211yescharacteristic
57C2×C22⋊C8×C61C2211yescharacteristic
58C2×C22⋊C8×C61C2211yescharacteristic
59C61×#336C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C22×D244C2311yescharacteristic
62C22×C22⋊D61—21no—
63C22×C22⋊D61—21no—
64C23×Dic61—21no—
65#14519751—22no—
66#14519751—22no—
67#14519751—22no—
68#14519751—41no—
69#14519749—44no—
70#14519736—22no—
71#14519736—22no—
72#14519736—41no—
73#14519736—41no—
74C2×C4⋊Dic61—22no—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61—21no—
78C2×C4⋊Dic61—41no—
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×#11758196—21no—
87C2×C22⋊Dic61—21no—
88C2×C22⋊Dic61—21no—
89C2×C22⋊Dic61—21no—
90C2×C22⋊Dic61—21no—
91C2×C22⋊Dic61—21no—
92C2×#11758198—21no—
93C2×#11758198—21no—
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×C4×Dic61—21no—
97C2×C4×Dic61—21no—
98C2×C4×Dic61—21no—
99#14519711—22no—
100#14519711—22no—
101#14519711—22no—
102#14519711—41no—
103#14519709—22no—
104#14519709D414yescomplemented
105#14519699—22no—
106#14519699—22no—
107#14519699—22no—
108#14519699—41no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114C22×D4×C61D411yescharacteristic
115C23×C4×C61C2311yescharacteristic
116C23×C4×C61C2311yescharacteristic
117C2×M16×C61—22no—
118C2×M16×C61—22no—
119C2×M16×C61—22no—
120C22×C8×C61C2311yescharacteristic
121C22×C8×C61C2311yescharacteristic
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C4×D4×C61—22no—
125C4×D4×C61—22no—
126C2×C4⋊C4×C61D411yescharacteristic
127C2×C22⋊C4×C61D411yescharacteristic
128C2×C22⋊C4×C61D411yescharacteristic
129C2×C42×C61C2311yescharacteristic
130C22⋊C8×C61—22no—
131C22⋊C8×C61—22no—
132C22⋊C8×C61—22no—
133C24×C61C2×D411yescharacteristic
134C24×C61C2×D411yescharacteristic
135C23×D61—21no—
136C2×D4×C61—22no—
137C2×D4×C61—22no—
138C2×D4×C61—41no—
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×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61#4112yes—
154C22×C4×C61#4112yes—
155C22×C4×C61C2411yescharacteristic
156C2×C22⋊D61—42no—
157C2×C22⋊D61—42no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—42no—
160C2×C22⋊D61—42no—
161C2×C22⋊D61—81no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—42no—
170C22×Dic61—42no—
171C22×Dic61—81no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—21no—
176C2×D244—21no—
177C2×D244—21no—
178M16×C61—28no—
179C2×C8×C61—21no—
180C2×C8×C61—21no—
181C2×C8×C61—21no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61C2×D412yes—
190C2×C8×C61#4112yes—
191C4⋊C4×C61—22no—
192C22⋊C4×C61—22no—
193C22⋊C4×C61—22no—
194C42×C61—21no—
195C42×C61—21no—
196C22⋊Dic61—42no—
197C22⋊Dic61—42no—
198C22⋊Dic61—42no—
199C22⋊Dic61—81no—
200C22⋊Dic61—81no—
201#11758198—42no—
202#11758198—42no—
203#11758198—42no—
204#11758198—81no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—42no—
218C4⋊Dic61—42no—
219C4⋊Dic61—81no—
220C4⋊Dic61C2×D412yes—
221C4⋊Dic61C2×D412yes—
222#11758196—42no—
223C4×Dic61—42no—
224C4×Dic61—42no—
225C4×Dic61—42no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61#12312yes—
240C23×C61C22×D411yescharacteristic
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248D4×C61—44no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61#12312yes—
268C2×C4×C61AGL(1,ℤ/8)12yes—
269C2×C4×C61C22×D411yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61C2×#4111yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61H(5,𝔽2)11yescharacteristic
274C2×C4×C612−1+411yescharacteristic
275C22⋊D61—84no—
276C22⋊D61—84no—
277C2×Dic61—22no—
278C2×Dic61—22no—
279C2×Dic61—41no—
280C2×Dic61—41no—
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—84no—
299D244—41no—
300D244—41no—
301D244—41no—
302D244—41no—
303C8×C61—22no—
304C8×C61—22no—
305C8×C61—41no—
306C8×C61—41no—
307#26157—611nomaximal, Sylow
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—41no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61C2×#12311yescharacteristic
323C22×C61D4211yescharacteristic
324C22×C61#54711yescharacteristic
325C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
326C22×C61#57511yescharacteristic
327C22×C61#57611yescharacteristic
328C22×C61#57811yescharacteristic
329C2×D61—81no—
330C2×D61—81no—
331C2×D61—81no—
332C2×D61—81no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61—81no—
336C4×C61—22no—
337C4×C61—22no—
338C4×C61—41no—
339C4×C61—41no—
340C4×C61#52511yescharacteristic
341C4×C61#53911yescharacteristic
342C4×C61#54811yescharacteristic
343C4×C61#55311yescharacteristic
344Dic61—42no—
345Dic61—42no—
346Dic61—81no—
347Dic61—81no—
348Dic61—81no—
349Dic61—81no—
350Dic61—81no—
351C2×#482—611no—
352C2×#428—611no—
353#2416—611no—
354#2354—611no—
355#2093—611no—
356#2083—611no—
357#2076—611no—
358#2033—611no—
359#1926—611no—
360#1919—611no—
361#1895—611no—
362#1875—611no—
363#1870D6111yescharacteristic, complemented
364#1854—611no—
365#1852—611no—
366C2×C61—42no—
367C2×C61—81no—
368C2×C61#244311yescharacteristic
369C2×C61#309411yescharacteristic
370C2×C61#309811yescharacteristic
371C2×C61#326911yescharacteristic
372C2×C61#327411yescharacteristic
373C2×C61#334711yescharacteristic
374C2×C61#335311yescharacteristic
375D61—161no—
376C22×M16C2×D6111yescharacteristic
377C2×#121—611no—
378C2×#121—611no—
379C2×#121—1221no—
380C2×C4×D4C2×D6111yescharacteristic
381C2×#117—611no—
382C2×#117—611no—
383C22×C4⋊C4—611no—
384#482—1224no—
385#428—1224no—
386C2×#107—611no—
387C2×#107—611no—
388C2×#107—611no—
389C2×#107—611no—
390C2×#106—611no—
391C2×#106—611no—
392C2×#102—611no—
393C2×#102—611no—
394C2×#102—611no—
395C2×#102—611no—
396C2×C22⋊C8C2×D6111yescharacteristic
397C2×C22⋊C8C2×D6111yescharacteristic
398C2×C22⋊C8C2×D6111yescharacteristic
399#396—1221no—
400#394—1221no—
401#390—611no—
402#390—1221no—
403#389—611no—
404#388—1221no—
405#388—1221no—
406#386—1221no—
407#384—611no—
408#380—611no—
409#380—611no—
410#380—611no—
411C4×C4⋊C4—611no—
412C4×C4⋊C4—1221no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419#336C2×D6111yescharacteristic
420#336C2×D6111yescharacteristic
421C61#2615711yescharacteristic, complemented, Sylow
422C22×D4—611no—
423C22×D4—1221no—
424C22×D4—1221no—
425C22×D4D24411yescharacteristic
426C23×C4—1221no—
427C23×C4C22×D6111yescharacteristic
428C23×C4C22×D6111yescharacteristic
429C2×M16—22no—
430C2×M16—22no—
431C2×M16—22no—
432C22×C8C22×D6111yescharacteristic
433C22×C8C22×D6111yescharacteristic
434C22×C8C22×D6111yescharacteristic
435C22×C8C22×D6111yescharacteristic
436#121—1222no—
437#121—1222no—
438#121—1222no—
439#121—2441no—
440#121—2444no—
441C4×D4—22no—
442C4×D4—22no—
443#117—1222no—
444#117—1222no—
445#117—2441no—
446#117—2441no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—1222no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—2441no—
460C2×C4⋊C4D24411yescharacteristic
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×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4D24411yescharacteristic
471C2×C22⋊C4D24411yescharacteristic
472C2×C42—1221no—
473C2×C42—1221no—
474C2×C42—1221no—
475C2×C42C22×D6111yescharacteristic
476#107—1222no—
477#107—1222no—
478#107—1222no—
479#107—2441no—
480#106—614no—
481#106—1222no—
482#102—1222no—
483#102—1222no—
484#102—1222no—
485#102—2441no—
486C22⋊C8—22no—
487C22⋊C8—22no—
488C22⋊C8—22no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494C24—1221no—
495C24C2×D24411yescharacteristic
496C24C2×D24411yescharacteristic
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—41no—
500C2×D4—1221no—
501C2×D4—1221no—
502C2×D4—1221no—
503C2×D4—1221no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—4881no—
507C2×D4—2442no—
508C2×D4—2442no—
509C2×D4—2442no—
510C2×D4—2442no—
511C2×D4—2442no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—4881no—
530C22×C4—2442no—
531C22×C4—2442no—
532C22×C4C2×D24411yescharacteristic
533C22×C4C2×D24411yescharacteristic
534C22×C4C2×D24411yescharacteristic
535C22×C4C2×D24411yescharacteristic
536C22×C4#1175822412yes—
537C22×C4#1175822412yes—
538C22×C4C23×D6111yescharacteristic
539M16—28no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8D4×D6112yes—
551C2×C8#1175822412yes—
552C4⋊C4—22no—
553C4⋊C4—612no—
554C4⋊C4—612no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—4881no—
568C4⋊C4—2442no—
569C4⋊C4—2442no—
570C4⋊C4—2442no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—4881no—
574C22⋊C4—4881no—
575C22⋊C4—4881no—
576C22⋊C4—2442no—
577C22⋊C4—2442no—
578C22⋊C4—2442no—
579C22⋊C4—2442no—
580C22⋊C4—2442no—
581C22⋊C4—2442no—
582C42—21no—
583C42—21no—
584C42—2442no—
585C42—2442no—
586C42—2442no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—2441no—
601C23—2441no—
602C23—2441no—
603C23—2441no—
604C23—2441no—
605C23—2441no—
606C23—2441no—
607C23#1451976112yes—
608C23C22×D24411yescharacteristic
609D4—44no—
610D4—4884no—
611D4—4884no—
612D4—2441no—
613D4—2441no—
614D4—2441no—
615D4—2441no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—4884no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
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#1451976112yes—
657C2×C4#1451980512yes—
658C2×C4C2×D4×D6111yescharacteristic
659C2×C4C2×#1175822411yescharacteristic
660C2×C4C2×#1175822411yescharacteristic
661C2×C4C2×#1175822411yescharacteristic
662C2×C4#1451982311yescharacteristic
663C2×C4#1451982411yescharacteristic
664C8—22no—
665C8—22no—
666C8—41no—
667C8—41no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—4881no—
683C22—4881no—
684C22—4881no—
685C22—4881no—
686C22—4881no—
687C22—4881no—
688C22—4881no—
689C22C2×#1451976111yescharacteristic
690C22D4×D24411yescharacteristic
691C22#1684041611yescharacteristic
692C22C2×#1451980511yescharacteristic
693C22#1684056211yescharacteristic
694C22#1684056711yescharacteristic
695C22#1684057911yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—41no—
700C4—4881no—
701C4—4881no—
702C4—4881no—
703C4—4881no—
704C4—4881no—
705C4—2442no—
706C4—2442no—
707C4#1684026811yescharacteristic
708C4#1684035611yescharacteristic
709C4#1684041811yescharacteristic
710C4#1684046411yescharacteristic
711C2—42no—
712C2—81no—
713C2—9761no—
714C2#2144955211yescharacteristic
715C2#2145576011yescharacteristic
716C2#2145579911yescharacteristic
717C2#2145737911yescharacteristic
718C2#2145744111yescharacteristic
719C2#2145832111yescharacteristic
720C2#2145840411yescharacteristic
subgroupG/H
centerC23C22×D244
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1870C2
socleC23×C61C22×D4
prime radical#21449259C2
hypercenter#1870D61
hypocenterC61#26157
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #1870

Complements

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

NH ≅ G/Ntype
1. C2×#16840087C2semidirect
2. C2×#16839804C2semidirect
4. #21448768C2semidirect
5. #21447346C2semidirect
6. #21447292C2semidirect
7. #21447247C2semidirect
8. #21447002C2semidirect
9. #21446447C2semidirect
10. #21446398C2semidirect
11. #21446257C2semidirect
12. #21446139C2semidirect
13. #21446020C2semidirect
14. #21446009C2semidirect
15. C61×#1870C2semidirect
104. #14519709D4semidirect
363. #1870D61semidirect
421. C61#26157semidirect

Maximal subgroups

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

subgroupindex
C2×#168400872
C2×#168398042
#214492592
#214487682
#214473462
#214472922
#214472472
#214470022
#214464472
#214463982
#214462572
#214461392
#214460202
#214460092
C61×#18702
#2615761