Finite Group Databasebeta

← #29696372

Subgroups — #29696372

Order 15616.

1122 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840451C211yesmaximal, characteristic
2C2×#16839833C211yesmaximal, characteristic
3#21448769C211yesmaximal, characteristic
4#21446786C211yesmaximal, characteristic, complemented
5#21446775C211yesmaximal, characteristic, complemented
6#21446251C211yesmaximal, characteristic, complemented
7#21446242C211yesmaximal, characteristic, complemented
8#21446131C211yesmaximal, characteristic, complemented
9#21446130C211yesmaximal, characteristic, complemented
10#21445914C211yesmaximal, characteristic, complemented
11#21445908C211yesmaximal, characteristic, complemented
12#21445823C211yesmaximal, characteristic, complemented
13#21445648C211yesmaximal, characteristic, complemented
14#21445537C211yesmaximal, characteristic, complemented
15C61×#1735C211yesmaximal, characteristic, complemented
16C22×#11758189C2211yescharacteristic
17#16840451—24no—
18#16840451C418yescomplemented
19C2×#14519770—21no—
20C2×#14519769—21no—
21C2×#14519768C2211yescharacteristic
22C2×#14519759—21no—
23C2×#14519757C2211yescharacteristic
24C2×#14519756C2211yescharacteristic
25C2×#14519742C2211yescharacteristic
26C2×C4×C22⋊D61C2211yescharacteristic
27C2×#14519735C2211yescharacteristic
28C2×#14519734—21no—
29C2×C4⋊C4×D61C2211yescharacteristic
30#16839833—24no—
31C2×#14519706C2211yescharacteristic
32C2×#14519702C2211yescharacteristic
33C2×#14519702C2211yescharacteristic
34C2×#14519700C2211yescharacteristic
35C2×#14519700C2211yescharacteristic
36C2×C22⋊#92418C2211yescharacteristic
37C2×#14519689C2211yescharacteristic
38C2×#14519687C2211yescharacteristic
39#16839662—21no—
40#16839653—21no—
41#16839650—21no—
42#16839631C2211yescharacteristic
43#16839622C2211yescharacteristic
44#16839619C2211yescharacteristic
45C4⋊C4×Dic61C2211yescharacteristic
46C4×#11758196—21no—
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C23×C8×C61C2211yescharacteristic
56C2×#117×C61C2211yescharacteristic
57C2×#117×C61C2211yescharacteristic
58C61×#340C2211yescharacteristic
59C61×#340C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×Dic122C2311yescharacteristic
63C22×C22⋊D61D411yescharacteristic
64C22×C4×D61—21no—
65C22×C4×D61C2311yescharacteristic
66C2×#11758189—22no—
67C2×#11758189—22no—
68C2×#11758189—41no—
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71#14519770—28no—
72#14519769—28no—
73#14519768—22no—
74#14519768C2×C414yes—
75#14519759—28no—
76#14519757—22no—
77#14519757C2×C414yes—
78#14519756—22no—
79#14519756C2×C414yes—
80#14519742—22no—
81#14519742C2×C414yes—
82C4×C22⋊D61C2×C414yes—
83C4×C22⋊D61D414yes—
84#14519735—22no—
85#14519735—41no—
86#14519734—28no—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61—21no—
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196—21no—
98C2×#11758196D411yescharacteristic
99C4⋊C4×D61—22no—
100C4⋊C4×D61C2×C414yes—
101C2×C22⋊Dic61—21no—
102C2×C22⋊Dic61—21no—
103C2×C22⋊Dic61D411yescharacteristic
104C2×#11758198—21no—
105C2×#11758198—21no—
106C2×#11758198—21no—
107C2×#11758198D411yescharacteristic
108C2×C4×Dic61—21no—
109C2×C4×Dic61—21no—
110C2×C4×Dic61—21no—
111C2×C4×Dic61C2311yescharacteristic
112#14519706—22no—
113#14519702—22no—
114#14519702—41no—
115#14519700—22no—
116#14519700—41no—
117C22⋊#92418—22no—
118#14519689—22no—
119#14519687—22no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C23×C4×C61C2311yescharacteristic
124C22×C8×C61—22no—
125C22×C8×C61—22no—
126C22×C8×C61—41no—
127C22×C8×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129#117×C61—22no—
130#117×C61—22no—
131#117×C61—41no—
132#117×C61C2×C414yes—
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C4⋊C4×C61C2311yescharacteristic
137C2×C22⋊C4×C61—21no—
138C2×C22⋊C4×C61—21no—
139C2×C42×C61—21no—
140C2×C42×C61—21no—
141C24×C61C2×D411yescharacteristic
142C23×D61C2×D411yescharacteristic
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×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61C22×C412yes—
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D412yes—
154C22×C4×C61C2411yescharacteristic
155C2×C22⋊D61—41no—
156C2×C22⋊D61—41no—
157C2×C22⋊D61C22⋊C414yes—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61C2×D411yescharacteristic
163C22×Dic61C2×D411yescharacteristic
164C22×Dic61C2×D411yescharacteristic
165C2×C4×D61—21no—
166C2×C4×D61—21no—
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—24no—
170C2×C4×D61—42no—
171C2×C4×D61—42no—
172C2×C4×D61C22×C412yes—
173C2×C4×D61C2×D412yes—
174C2×Dic122—21no—
175C2×Dic122—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122C22×C412yes—
180C2×C8×C61—21no—
181C2×C8×C61—21no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—44no—
186C2×C8×C61#4112yes—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61C22×C412yes—
193C4⋊C4×C61C22×C412yes—
194C4⋊C4×C61#4112yes—
195C22⋊C4×C61—24no—
196C22⋊C4×C61—42no—
197C42×C61—24no—
198C42×C61—42no—
199C22⋊Dic61—24no—
200C22⋊Dic61—81no—
201C22⋊Dic61C22⋊C414yes—
202#11758198—24no—
203#11758198—42no—
204#11758198—81no—
205#11758198C22⋊C414yes—
206C4⋊Dic61—21no—
207C4⋊Dic61—24no—
208C4⋊Dic61—24no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61C22×C412yes—
214#11758196—24no—
215#11758196—24no—
216#11758196—24no—
217#11758196—24no—
218#11758196—42no—
219#11758196—81no—
220#11758196C22⋊C414yes—
221C4×Dic61—24no—
222C4×Dic61—42no—
223C4×Dic61—42no—
224C4×Dic61C22×C412yes—
225C4×Dic61C2×D412yes—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232#11758189—44no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61C2×C22⋊C412yes—
240C23×C61C22×D411yescharacteristic
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61C2×C22⋊C412yes—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—22no—
251C2×C4×C61—22no—
252C2×C4×C61—22no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
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×C61C2×C22⋊C412yes—
267C2×C4×C61C23×C411yescharacteristic
268C2×C4×C61C22×D411yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61H(5,𝔽2)11yescharacteristic
272C2×C4×C612−1+411yescharacteristic
273C22⋊D61—44no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—22no—
281C2×Dic61—22no—
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×Dic61C2×C22⋊C412yes—
293C2×Dic61C2×C22⋊C412yes—
294C2×Dic61C2×C22⋊C412yes—
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—48no—
300Dic122—22no—
301Dic122—22no—
302Dic122—41no—
303Dic122—41no—
304C8×C61—22no—
305C8×C61—41no—
306#92418—41no—
307#92418—41no—
308#22496—611nomaximal, Sylow
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61C22×C22⋊C411yescharacteristic
317C22×C61#54611yescharacteristic
318C22×C61#54711yescharacteristic
319C22×C61#57511yescharacteristic
320C22×C61#57511yescharacteristic
321C22×C61#57711yescharacteristic
322C22×C61#57811yescharacteristic
323C2×D61—22no—
324C2×D61—22no—
325C2×D61—22no—
326C2×D61—41no—
327C2×D61—41no—
328C2×D61—41no—
329C2×D61—41no—
330C4×C61—22no—
331C4×C61—42no—
332C4×C61—42no—
333C4×C61—42no—
334C4×C61—81no—
335C4×C61C4×#4111yescharacteristic
336C4×C61#52011yescharacteristic
337C4×C61#54611yescharacteristic
338C4×C61#54711yescharacteristic
339Dic61—22no—
340Dic61—22no—
341Dic61—22no—
342Dic61—42no—
343Dic61—42no—
344Dic61—81no—
345Dic61—81no—
346C2×#552—611no—
347C2×#435—611no—
348#2354—611no—
349#1992—611no—
350#1989—611no—
351#1894—611no—
352#1892—611no—
353#1873—611no—
354#1873—611no—
355#1825—611no—
356#1824—611no—
357#1803—611no—
358#1763—611no—
359#1736—611no—
360#1735D6111yescharacteristic, complemented
361C2×C61—42no—
362C2×C61#233911yescharacteristic
363C2×C61#289611yescharacteristic
364C2×C61#289811yescharacteristic
365C2×C61#331511yescharacteristic
366C2×C61#331711yescharacteristic
367C2×C61#334811yescharacteristic
368C2×C61#334911yescharacteristic
369D61—42no—
370C22×M16—611no—
371C23×C8C2×D6111yescharacteristic
372#552—618no—
373#552—1224no—
374C2×#126—1221no—
375C2×#125—611no—
376C2×#125—1221no—
377C2×#123—1221no—
378C2×C22⋊Q8—611no—
379C2×C22⋊Q8—611no—
380C2×C4×Q8—611no—
381C2×C4×D4—611no—
382C2×#117—611no—
383C2×#117—1221no—
384C2×#117C2×D6111yescharacteristic
385C2×#117C2×D6111yescharacteristic
386C22×C4⋊C4—611no—
387#435—1224no—
388C2×C4⋊C8—611no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×C22⋊C8—611no—
394C2×C22⋊C8—611no—
395C2×#97—611no—
396#390—1221no—
397#388—1221no—
398#388—1221no—
399#384—611no—
400#380—611no—
401#380—611no—
402C4×C4⋊C4—611no—
403C4×C4⋊C4—1221no—
404#340—611no—
405#340—611no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340C2×D6111yescharacteristic
413#340C2×D6111yescharacteristic
414#340C2×D6111yescharacteristic
415#340C2×D6111yescharacteristic
416C61#2249611yescharacteristic, complemented, Sylow
417C22×Q8—611no—
418C22×D4—611no—
419C23×C4—611no—
420C23×C4—1221no—
421C23×C4C22×D6111yescharacteristic
422C2×M16—1222no—
423C2×M16—1222no—
424C2×M16—2441no—
425C22×C8—22no—
426C22×C8—22no—
427C22×C8—41no—
428C22×C8—611no—
429C22×C8—611no—
430C22×C8C22×D6111yescharacteristic
431C22×C8C22×D6111yescharacteristic
432#126—1228no—
433#125—614no—
434#125—1228no—
435#125—1222no—
436#123—1228no—
437C22⋊Q8—614no—
438C22⋊Q8—614no—
439C22⋊Q8—1222no—
440C22⋊Q8—1222no—
441C4×Q8—614no—
442C4×Q8—1222no—
443C4×D4—614no—
444C4×D4—614no—
445#117—22no—
446#117—22no—
447#117—41no—
448#117—1228no—
449#117—1222no—
450#117—2441no—
451#117C4×D6114yes—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—614no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—1222no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C4⋊C4C22×D6111yescharacteristic
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C4⋊C4C22×D6111yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—611no—
473C2×C22⋊C4—611no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C42—21no—
480C2×C42—21no—
481C2×C42—611no—
482C2×C42—1221no—
483C2×C42—1221no—
484C2×C42—1221no—
485C4⋊C8—1222no—
486#103—1222no—
487#103—1222no—
488#103—2441no—
489#103—2441no—
490C22⋊C8—1222no—
491C22⋊C8—1222no—
492#97—1222no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496C24—611no—
497C24D4×D6111yescharacteristic
498C2×Q8—612no—
499C2×Q8—1221no—
500C2×Q8—1221no—
501C2×Q8—1221no—
502C2×Q8—1221no—
503C2×Q8—1221no—
504C2×D4—614no—
505C2×D4—2441no—
506C2×D4—2441no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—611no—
516C22×C4—611no—
517C22×C4—611no—
518C22×C4—612no—
519C22×C4—612no—
520C22×C4—1224no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—2442no—
530C22×C4—2442no—
531C22×C4C2×C4×D6112yes—
532C22×C4D4×D6112yes—
533C22×C4D4×D6111yescharacteristic
534C22×C4C23×D6111yescharacteristic
535M16—2444no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—44no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8#1175822212yes—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—614no—
555C4⋊C4—612no—
556C4⋊C4—1224no—
557C4⋊C4—1224no—
558C4⋊C4—1224no—
559C4⋊C4—1224no—
560C4⋊C4—1224no—
561C4⋊C4—1221no—
562C4⋊C4—1224no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—4881no—
568C4⋊C4—2442no—
569C4⋊C4C2×C4×D6112yes—
570C4⋊C4C2×C4×D6112yes—
571C4⋊C4#1175822212yes—
572C22⋊C4—24no—
573C22⋊C4—42no—
574C22⋊C4—614no—
575C22⋊C4—614no—
576C22⋊C4—1224no—
577C22⋊C4—1224no—
578C22⋊C4—4881no—
579C22⋊C4—4881no—
580C22⋊C4—2442no—
581C42—24no—
582C42—42no—
583C42—612no—
584C42—612no—
585C42—1224no—
586C42—2442no—
587C42—2442no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—612no—
595C23—1221no—
596C23—1221no—
597C23—1221no—
598C23—1221no—
599C23—1221no—
600C23—1221no—
601C23C22⋊C4×D6112yes—
602C23C2×D4×D6111yescharacteristic
603Q8—1222no—
604Q8—1222no—
605Q8—2441no—
606Q8—2441no—
607D4—2444no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—612no—
627C2×C4—612no—
628C2×C4—612no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—1221no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—2448no—
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×C4C22⋊C4×D6112yes—
653C2×C4C22×C4×D6111yescharacteristic
654C2×C4C2×D4×D6111yescharacteristic
655C2×C4C2×#1175822211yescharacteristic
656C2×C4C2×#1175822211yescharacteristic
657C2×C4#1451982211yescharacteristic
658C2×C4#1451982511yescharacteristic
659C8—22no—
660C8—41no—
661C8—2441no—
662C8—2441no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—1222no—
671C22—1222no—
672C22—1222no—
673C22—2441no—
674C22—2441no—
675C22—2441no—
676C22—2441no—
677C22C2×C22⋊C4×D6111yescharacteristic
678C22#1684040211yescharacteristic
679C22#1684041311yescharacteristic
680C22#1684055911yescharacteristic
681C22#1684055911yescharacteristic
682C22#1684056911yescharacteristic
683C22#1684057611yescharacteristic
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—81no—
689C4—1222no—
690C4—1222no—
691C4—1222no—
692C4—4881no—
693C4—4881no—
694C4—2442no—
695C4—2442no—
696C4C4×#1175822211yescharacteristic
697C4#1684024311yescharacteristic
698C4#1684040211yescharacteristic
699C4#1684041311yescharacteristic
700C2—42no—
701C2—2442no—
702C2#2144864611yescharacteristic
703C2#2145433411yescharacteristic
704C2#2145434811yescharacteristic
705C2#2145791111yescharacteristic
706C2#2145794111yescharacteristic
707C2#2145833011yescharacteristic
708C2#2145834511yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1735C2
socleC23×C61C22×D4
prime radicalC22×C22⋊D61D4
cosocleC22×C4×C61C24
hypercenter#1735D61
hypocenterC61#22496
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1735

Complements

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

NH ≅ G/Ntype
4. #21446786C2semidirect
5. #21446775C2semidirect
6. #21446251C2semidirect
7. #21446242C2semidirect
8. #21446131C2semidirect
9. #21446130C2semidirect
10. #21445914C2semidirect
11. #21445908C2semidirect
12. #21445823C2semidirect
13. #21445648C2semidirect
14. #21445537C2semidirect
15. C61×#1735C2semidirect
18. #16840451C4semidirect
360. #1735D61semidirect
416. C61#22496semidirect

Maximal subgroups

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

subgroupindex
C2×#168404512
C2×#168398332
#214487692
#214467862
#214467752
#214462512
#214462422
#214461312
#214461302
#214459142
#214459082
#214458232
#214456482
#214455372
C61×#17352
#2249661