Finite Group Databasebeta

← #26226781

Subgroups — #26226781

Order 12032.

774 conjugacy classes of subgroups.

The subgroup lattice has 620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689184C211yesmaximal, characteristic
2C2×#15689150C211yesmaximal, characteristic
3#20244112C211yesmaximal, characteristic, complemented
4#20244112C211yesmaximal, characteristic, complemented
5#20244107C211yesmaximal, characteristic, complemented
6#20244107C211yesmaximal, characteristic, complemented
7#20243573C211yesmaximal, characteristic
8#20243573C211yesmaximal, characteristic
9#20243568C211yesmaximal, characteristic
10#20243568C211yesmaximal, characteristic
11#20243542C211yesmaximal, characteristic, complemented
12#20243540C211yesmaximal, characteristic, complemented
13#20243508C211yesmaximal, characteristic, complemented
14#20243505C211yesmaximal, characteristic, complemented
15C47×#2298C211yesmaximal, characteristic
16C22×#10625329C2211yescharacteristic
17C23×C47⋊C8C2211yescharacteristic
18#15689184—24no—
19#15689150—24no—
20C2×C4⋊(C47⋊C8)C2211yescharacteristic
21C2×C4⋊(C47⋊C8)C2211yescharacteristic
22C2×C4⋊(C47⋊C8)C2211yescharacteristic
23C2×C4⋊(C47⋊C8)C2211yescharacteristic
24C2×C4⋊(C47⋊C8)C2211yescharacteristic
25C2×C4⋊(C47⋊C8)C2211yescharacteristic
26C2×C4⋊(C47⋊C8)C2211yescharacteristic
27C2×C4⋊(C47⋊C8)C2211yescharacteristic
28C2×C4⋊(C47⋊C8)C2211yescharacteristic
29C2×C4⋊(C47⋊C8)C2211yescharacteristic
30C2×C4⋊(C47⋊C8)C2211yescharacteristic
31C2×C4⋊(C47⋊C8)C2211yescharacteristic
32C2×C4⋊(C47⋊C8)C2211yescharacteristic
33C2×C4⋊(C47⋊C8)C2211yescharacteristic
34C2×C22⋊(C47⋊C8)C2211yescharacteristic
35C2×C22⋊(C47⋊C8)C2211yescharacteristic
36C2×#13093935C2211yescharacteristic
37C2×C4×C47⋊C8C2211yescharacteristic
38#15688878C2211yescharacteristic
39#15688878C2211yescharacteristic
40#15688878C2211yescharacteristic
41#15688878C2211yescharacteristic
42#15688878C2211yescharacteristic
43#15688878C2211yescharacteristic
44#15688878C2211yescharacteristic
45#15688878C2211yescharacteristic
46C2×#117×C47C2211yescharacteristic
47C47×#388C411yescharacteristic
48C47×#388C411yescharacteristic
49C47×#388C411yescharacteristic
50C47×#388C411yescharacteristic
51C47×#387C411yescharacteristic
52C47×#387C411yescharacteristic
53C47×#387C411yescharacteristic
54C47×#387C411yescharacteristic
55C4×C4⋊C4×C47C2211yescharacteristic
56C4×C4⋊C4×C47C2211yescharacteristic
57C4×C22⋊C4×C47C2211yescharacteristic
58C4×C22⋊C4×C47C2211yescharacteristic
59C47×#376C2211yescharacteristic
60C43×C47C2211yescharacteristic
61C2×#10625329—22no—
62C2×#10625329—41no—
63C2×#10625329—41no—
64C22×C47⋊C8—22no—
65C22×C47⋊C8—41no—
66C22×C47⋊C8—41no—
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69C22×C47⋊C8C2311yescharacteristic
70C22×C47⋊C8C2311yescharacteristic
71C22×C47⋊C8C2311yescharacteristic
72C22×C47⋊C8C2311yescharacteristic
73C22×C47⋊C8C2311yescharacteristic
74C22×C47⋊C8C2311yescharacteristic
75C4⋊(C47⋊C8)—22no—
76C4⋊(C47⋊C8)—22no—
77C4⋊(C47⋊C8)—22no—
78C4⋊(C47⋊C8)—22no—
79C4⋊(C47⋊C8)—22no—
80C4⋊(C47⋊C8)—22no—
81C4⋊(C47⋊C8)—41no—
82C4⋊(C47⋊C8)—41no—
83C4⋊(C47⋊C8)—41no—
84C4⋊(C47⋊C8)—41no—
85C4⋊(C47⋊C8)—41no—
86C4⋊(C47⋊C8)—41no—
87C4⋊(C47⋊C8)—41no—
88C4⋊(C47⋊C8)—41no—
89C22⋊(C47⋊C8)—22no—
90C22⋊(C47⋊C8)—22no—
91#13093935—22no—
92C4×C47⋊C8—22no—
93C23×C4×C47C2311yescharacteristic
94#117×C47D414yes—
95#117×C47Q814yes—
96C2×C4⋊C4×C47C2×C411yescharacteristic
97C2×C4⋊C4×C47C2×C411yescharacteristic
98C2×C4⋊C4×C47C2×C411yescharacteristic
99C2×C4⋊C4×C47C2×C411yescharacteristic
100C2×C4⋊C4×C47C2×C411yescharacteristic
101C2×C4⋊C4×C47C2×C411yescharacteristic
102C2×C22⋊C4×C47C2×C411yescharacteristic
103C2×C22⋊C4×C47C2×C411yescharacteristic
104C2×C22⋊C4×C47C2×C411yescharacteristic
105C2×C22⋊C4×C47C2×C411yescharacteristic
106C2×C22⋊C4×C47C2×C411yescharacteristic
107C2×C22⋊C4×C47C2×C411yescharacteristic
108C2×C42×C47C2×C411yescharacteristic
109C2×C42×C47C2×C411yescharacteristic
110C2×C42×C47C2×C411yescharacteristic
111C2×C42×C47C2×C411yescharacteristic
112C2×C42×C47C2311yescharacteristic
113C2×C42×C47C2311yescharacteristic
114C2×C42×C47C2311yescharacteristic
115C2×C42×C47C2311yescharacteristic
116C2×C42×C47C2311yescharacteristic
117C2×C42×C47C2311yescharacteristic
118#95×C47C2×C411yescharacteristic
119#95×C47C2×C411yescharacteristic
120#95×C47C2×C411yescharacteristic
121#95×C47C2×C411yescharacteristic
122#95×C47C2×C411yescharacteristic
123#95×C47C2×C411yescharacteristic
124#95×C47C2×C411yescharacteristic
125#95×C47C2×C411yescharacteristic
126#95×C47C2×C411yescharacteristic
127#95×C47C2×C411yescharacteristic
128#95×C47C2×C411yescharacteristic
129#95×C47C2×C411yescharacteristic
130C24×C47C22×C411yescharacteristic
131C22×C4×C47—21no—
132C22×C4×C47—21no—
133C22×C4×C47—21no—
134C22×C4×C47—21no—
135C22×C4×C47C22×C411yescharacteristic
136C22×C4×C47C22×C411yescharacteristic
137C22×C4×C47C22×C411yescharacteristic
138C22×C4×C47C22×C411yescharacteristic
139C22×C4×C47C22×C411yescharacteristic
140C22×C4×C47C22×C411yescharacteristic
141C22×C4×C47C22×C411yescharacteristic
142C22×C4×C47C22×C411yescharacteristic
143C22×C4×C47C22×C411yescharacteristic
144C22×C4×C47C22×C411yescharacteristic
145C22×C4×C47C22×C411yescharacteristic
146C22×C4×C47C22×C411yescharacteristic
147C22×C4×C47C22×C411yescharacteristic
148C22×C4×C47C2×D412yes—
149C22×C4×C47C2×Q812yes—
150C22×C4×C47C2411yescharacteristic
151C4⋊C4×C47—22no—
152C4⋊C4×C47—22no—
153C4⋊C4×C47—41no—
154C4⋊C4×C47—41no—
155C4⋊C4×C47C4⋊C414yes—
156C4⋊C4×C47C4⋊C414yes—
157C22⋊C4×C47—22no—
158C22⋊C4×C47—22no—
159C22⋊C4×C47—41no—
160C22⋊C4×C47—41no—
161C22⋊C4×C47C4⋊C414yes—
162C22⋊C4×C47C4⋊C414yes—
163C42×C47—22no—
164C42×C47—22no—
165C42×C47—21no—
166C42×C47—21no—
167C42×C47—21no—
168C42×C47—21no—
169C42×C47—21no—
170C42×C47—21no—
171C42×C47—21no—
172C42×C47—21no—
173C42×C47—41no—
174C42×C47—41no—
175C42×C47C2×D412yes—
176C42×C47C2×D412yes—
177C42×C47C2×Q812yes—
178C42×C47C2×Q812yes—
179#10625329—44no—
180C2×C47⋊C8—21no—
181C2×C47⋊C8—21no—
182C2×C47⋊C8—21no—
183C2×C47⋊C8—21no—
184C2×C47⋊C8—21no—
185C2×C47⋊C8—21no—
186C2×C47⋊C8—21no—
187C2×C47⋊C8—21no—
188C2×C47⋊C8—21no—
189C2×C47⋊C8—21no—
190C2×C47⋊C8—21no—
191C2×C47⋊C8—21no—
192C2×C47⋊C8—21no—
193C2×C47⋊C8—21no—
194C2×C47⋊C8—21no—
195C2×C47⋊C8—21no—
196C2×C47⋊C8—21no—
197C2×C47⋊C8—21no—
198C2×C47⋊C8—21no—
199C2×C47⋊C8—21no—
200C2×C47⋊C8—21no—
201C2×C47⋊C8—21no—
202C2×C47⋊C8—21no—
203C2×C47⋊C8—21no—
204C2×C47⋊C8—44no—
205C23×C47—21no—
206C23×C47—21no—
207C23×C47—21no—
208C23×C47—21no—
209C23×C47—21no—
210C23×C47—21no—
211C23×C47C2×C4⋊C412yes—
212C23×C47C23×C411yescharacteristic
213C2×C4×C47—21no—
214C2×C4×C47—21no—
215C2×C4×C47—21no—
216C2×C4×C47—21no—
217C2×C4×C47—21no—
218C2×C4×C47—21no—
219C2×C4×C47—21no—
220C2×C4×C47—21no—
221C2×C4×C47—21no—
222C2×C4×C47—21no—
223C2×C4×C47—21no—
224C2×C4×C47—21no—
225C2×C4×C47—21no—
226C2×C4×C47—21no—
227C2×C4×C47—22no—
228C2×C4×C47—22no—
229C2×C4×C47—22no—
230C2×C4×C47—22no—
231C2×C4×C47—21no—
232C2×C4×C47—21no—
233C2×C4×C47—21no—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—21no—
237C2×C4×C47—21no—
238C2×C4×C47—21no—
239C2×C4×C47—21no—
240C2×C4×C47—21no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47C2×C4⋊C412yes—
250C2×C4×C47C2×C4⋊C412yes—
251C2×C4×C47C2×C4⋊C412yes—
252C2×C4×C47C2×C4⋊C412yes—
253C2×C4×C47C2×C4⋊C412yes—
254C2×C4×C47#13112yes—
255C2×C4×C47#13112yes—
256C2×C4×C47C22×D411yescharacteristic
257C2×C4×C47C22×Q811yescharacteristic
258C2×C4×C47H(5,𝔽2)11yescharacteristic
259C2×C4×C47H(5,𝔽2)11yescharacteristic
260C2×C4×C472−1+411yescharacteristic
261C2×C4×C472−1+411yescharacteristic
262C47⋊C8—41no—
263C47⋊C8—41no—
264C47⋊C8—41no—
265C47⋊C8—41no—
266C47⋊C8—41no—
267C47⋊C8—41no—
268C47⋊C8—41no—
269C47⋊C8—41no—
270#21980—471nomaximal, Sylow
271C22×C47—22no—
272C22×C47—22no—
273C22×C47—22no—
274C22×C47—41no—
275C22×C47—41no—
276C22×C47—41no—
277C22×C47—41no—
278C22×C47C22×C4⋊C411yescharacteristic
279C22×C47#52011yescharacteristic
280C22×C47#52011yescharacteristic
281C22×C47C2×#13111yescharacteristic
282C22×C47C2×#13111yescharacteristic
283C22×C47#56811yescharacteristic
284C22×C47#56811yescharacteristic
285C4×C47—22no—
286C4×C47—22no—
287C4×C47—22no—
288C4×C47—22no—
289C4×C47—22no—
290C4×C47—22no—
291C4×C47—22no—
292C4×C47—41no—
293C4×C47—41no—
294C4×C47—41no—
295C4×C47—41no—
296C4×C47—41no—
297C4×C47—41no—
298C4×C47#53511yescharacteristic
299C4×C47#53611yescharacteristic
300C4×C47#54411yescharacteristic
301C4×C47#54411yescharacteristic
302C2×#433—471no—
303C2×#424—471no—
304#2298D4711yescharacteristic
305#1940—471no—
306#1940—471no—
307#1939—471no—
308#1939—471no—
309#1851—471no—
310#1851—471no—
311#1850—471no—
312#1850—471no—
313#1843—471no—
314#1842—471no—
315#1832—471no—
316#1831—471no—
317C2×C47—42no—
318C2×C47#231711yescharacteristic
319C2×C47#290611yescharacteristic
320C2×C47#290611yescharacteristic
321C2×C47#299211yescharacteristic
322C2×C47#299311yescharacteristic
323C2×C47#299411yescharacteristic
324C2×C47#299511yescharacteristic
325C22×M16—471no—
326C23×C8—471no—
327C2×#117C2×D4711yescharacteristic
328#433—944no—
329#424—944no—
330C2×C4⋊C8—471no—
331C2×C4⋊C8—471no—
332C2×C4⋊C8—471no—
333C2×C4⋊C8—471no—
334C2×C4⋊C8—471no—
335C2×C4⋊C8—471no—
336C2×C4⋊C8—471no—
337C2×C4⋊C8—471no—
338C2×C4⋊C8—471no—
339C2×C4⋊C8—471no—
340C2×C4⋊C8—471no—
341C2×C4⋊C8—471no—
342C2×C4⋊C8—471no—
343C2×C4⋊C8—471no—
344C2×C22⋊C8—471no—
345C2×C22⋊C8—471no—
346C2×#97—471no—
347C2×C4×C8—471no—
348#388Dic4711yescharacteristic
349#388Dic4711yescharacteristic
350#388Dic4711yescharacteristic
351#388Dic4711yescharacteristic
352#387Dic4711yescharacteristic
353#387Dic4711yescharacteristic
354#387Dic4711yescharacteristic
355#387Dic4711yescharacteristic
356C4×C4⋊C4C2×D4711yescharacteristic
357C4×C4⋊C4C2×D4711yescharacteristic
358C4×C22⋊C4C2×D4711yescharacteristic
359C4×C22⋊C4C2×D4711yescharacteristic
360#376C2×D4711yescharacteristic
361C43C2×D4711yescharacteristic
362#336—471no—
363#336—471no—
364#336—471no—
365#336—471no—
366#336—471no—
367#336—471no—
368#336—471no—
369#336—471no—
370C47#2198011yescharacteristic, complemented, Sylow
371C23×C4C22×D4711yescharacteristic
372C2×M16—942no—
373C2×M16—1881no—
374C2×M16—1881no—
375C22×C8—471no—
376C22×C8—471no—
377C22×C8—471no—
378C22×C8—471no—
379C22×C8—471no—
380C22×C8—471no—
381C22×C8—471no—
382C22×C8—471no—
383C22×C8—942no—
384C22×C8—1881no—
385C22×C8—1881no—
386#117Dic9414yes—
387#117D18814yes—
388C2×C4⋊C4C2×Dic4711yescharacteristic
389C2×C4⋊C4C2×Dic4711yescharacteristic
390C2×C4⋊C4C2×Dic4711yescharacteristic
391C2×C4⋊C4C2×Dic4711yescharacteristic
392C2×C4⋊C4C2×Dic4711yescharacteristic
393C2×C4⋊C4C2×Dic4711yescharacteristic
394C2×C22⋊C4C2×Dic4711yescharacteristic
395C2×C22⋊C4C2×Dic4711yescharacteristic
396C2×C22⋊C4C2×Dic4711yescharacteristic
397C2×C22⋊C4C2×Dic4711yescharacteristic
398C2×C22⋊C4C2×Dic4711yescharacteristic
399C2×C22⋊C4C2×Dic4711yescharacteristic
400C2×C42C2×Dic4711yescharacteristic
401C2×C42C2×Dic4711yescharacteristic
402C2×C42C2×Dic4711yescharacteristic
403C2×C42C2×Dic4711yescharacteristic
404C2×C42C22×D4711yescharacteristic
405C2×C42C22×D4711yescharacteristic
406C2×C42C22×D4711yescharacteristic
407C2×C42C22×D4711yescharacteristic
408C2×C42C22×D4711yescharacteristic
409C2×C42C22×D4711yescharacteristic
410C4⋊C8—942no—
411C4⋊C8—942no—
412C4⋊C8—942no—
413C4⋊C8—942no—
414C4⋊C8—942no—
415C4⋊C8—942no—
416C4⋊C8—1881no—
417C4⋊C8—1881no—
418C4⋊C8—1881no—
419C4⋊C8—1881no—
420C4⋊C8—1881no—
421C4⋊C8—1881no—
422C4⋊C8—1881no—
423C4⋊C8—1881no—
424C22⋊C8—942no—
425C22⋊C8—942no—
426#97—942no—
427C4×C8—942no—
428#95C2×Dic4711yescharacteristic
429#95C2×Dic4711yescharacteristic
430#95C2×Dic4711yescharacteristic
431#95C2×Dic4711yescharacteristic
432#95C2×Dic4711yescharacteristic
433#95C2×Dic4711yescharacteristic
434#95C2×Dic4711yescharacteristic
435#95C2×Dic4711yescharacteristic
436#95C2×Dic4711yescharacteristic
437#95C2×Dic4711yescharacteristic
438#95C2×Dic4711yescharacteristic
439#95C2×Dic4711yescharacteristic
440C24C22×Dic4711yescharacteristic
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4C2×Dic9412yes—
446C22×C4C2×D18812yes—
447C22×C4C22×Dic4711yescharacteristic
448C22×C4C22×Dic4711yescharacteristic
449C22×C4C22×Dic4711yescharacteristic
450C22×C4C22×Dic4711yescharacteristic
451C22×C4C22×Dic4711yescharacteristic
452C22×C4C22×Dic4711yescharacteristic
453C22×C4C22×Dic4711yescharacteristic
454C22×C4C22×Dic4711yescharacteristic
455C22×C4C22×Dic4711yescharacteristic
456C22×C4C22×Dic4711yescharacteristic
457C22×C4C22×Dic4711yescharacteristic
458C22×C4C22×Dic4711yescharacteristic
459C22×C4C22×Dic4711yescharacteristic
460C22×C4C23×D4711yescharacteristic
461M16—1884no—
462C2×C8—941no—
463C2×C8—941no—
464C2×C8—941no—
465C2×C8—941no—
466C2×C8—941no—
467C2×C8—941no—
468C2×C8—941no—
469C2×C8—941no—
470C2×C8—941no—
471C2×C8—941no—
472C2×C8—941no—
473C2×C8—941no—
474C2×C8—941no—
475C2×C8—941no—
476C2×C8—941no—
477C2×C8—941no—
478C2×C8—941no—
479C2×C8—941no—
480C2×C8—941no—
481C2×C8—941no—
482C2×C8—941no—
483C2×C8—941no—
484C2×C8—941no—
485C2×C8—941no—
486C2×C8—1884no—
487C4⋊C4—22no—
488C4⋊C4—22no—
489C4⋊C4—41no—
490C4⋊C4—41no—
491C4⋊C4C4⋊Dic4714yes—
492C4⋊C4C4⋊Dic4714yes—
493C22⋊C4—22no—
494C22⋊C4—22no—
495C22⋊C4—41no—
496C22⋊C4—41no—
497C22⋊C4C4⋊Dic4714yes—
498C22⋊C4C4⋊Dic4714yes—
499C42—22no—
500C42—22no—
501C42—21no—
502C42—21no—
503C42—21no—
504C42—21no—
505C42—21no—
506C42—21no—
507C42—21no—
508C42—21no—
509C42—41no—
510C42—41no—
511C42C2×Dic9412yes—
512C42C2×Dic9412yes—
513C42C2×D18812yes—
514C42C2×D18812yes—
515C23—21no—
516C23—21no—
517C23—21no—
518C23—21no—
519C23—21no—
520C23—21no—
521C23C2×C4⋊Dic4712yes—
522C23C23×Dic4711yescharacteristic
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—21no—
530C2×C4—21no—
531C2×C4—21no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4C2×C4⋊Dic4712yes—
560C2×C4C2×C4⋊Dic4712yes—
561C2×C4C2×C4⋊Dic4712yes—
562C2×C4C2×C4⋊Dic4712yes—
563C2×C4C2×C4⋊Dic4712yes—
564C2×C4#1309403112yes—
565C2×C4#1309403112yes—
566C2×C4C22×D18811yescharacteristic
567C2×C4C22×Dic9411yescharacteristic
568C2×C4#1309407011yescharacteristic
569C2×C4#1309407011yescharacteristic
570C2×C4#1309407111yescharacteristic
571C2×C4#1309407111yescharacteristic
572C8—1881no—
573C8—1881no—
574C8—1881no—
575C8—1881no—
576C8—1881no—
577C8—1881no—
578C8—1881no—
579C8—1881no—
580C22—22no—
581C22—22no—
582C22—22no—
583C22—41no—
584C22—41no—
585C22—41no—
586C22—41no—
587C22C22×C4⋊Dic4711yescharacteristic
588C22#1568960611yescharacteristic
589C22#1568960611yescharacteristic
590C22C2×#1309403111yescharacteristic
591C22C2×#1309403111yescharacteristic
592C22#1568989011yescharacteristic
593C22#1568989011yescharacteristic
594C4—22no—
595C4—22no—
596C4—22no—
597C4—22no—
598C4—22no—
599C4—22no—
600C4—22no—
601C4—41no—
602C4—41no—
603C4—41no—
604C4—41no—
605C4—41no—
606C4—41no—
607C4#1568969211yescharacteristic
608C4#1568969911yescharacteristic
609C4#1568975111yescharacteristic
610C4#1568975111yescharacteristic
611C2—42no—
612C2#2024601111yescharacteristic
613C2#2025195611yescharacteristic
614C2#2025195611yescharacteristic
615C2#2025252711yescharacteristic
616C2#2025253711yescharacteristic
617C2#2025254811yescharacteristic
618C2#2025255811yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC47×#2298C2
prime radicalC24×C47C22×C4
cosocleC22×C4×C47C24
hypercenter#2298D47
hypocenterC47#21980
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #2298

Complements

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

NH ≅ G/Ntype
3. #20244112C2semidirect
4. #20244112C2semidirect
5. #20244107C2semidirect
6. #20244107C2semidirect
11. #20243542C2semidirect
12. #20243540C2semidirect
13. #20243508C2semidirect
14. #20243505C2semidirect
370. C47#21980semidirect

Maximal subgroups

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

subgroupindex
C2×#156891842
C2×#156891502
#202441122
#202441072
#202435732
#202435682
#202435422
#202435402
#202435082
#202435052
C47×#22982
#2198047