Finite Group Databasebeta

← C101×#22975 #38805126

Subgroups — C101×#22975 #38805126

Order 25856.

878 conjugacy classes of subgroups.

The subgroup lattice has 614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#476×C101C211yesmaximal, characteristic
2C101×#2365C211yesmaximal, characteristic, complemented
3C101×#2349C211yesmaximal, characteristic
4C101×#1993C211yesmaximal, characteristic, complemented
5C101×#1949C211yesmaximal, characteristic, complemented
6C101×#1944C211yesmaximal, characteristic, complemented
7C101×#1941C211yesmaximal, characteristic, complemented
8C101×#1920C211yesmaximal, characteristic, complemented
9C101×#1919C211yesmaximal, characteristic, complemented
10C101×#1864C211yesmaximal, characteristic
11C101×#1862C211yesmaximal, characteristic
12C101×#1771C211yesmaximal, characteristic, complemented
13C101×#1762C211yesmaximal, characteristic
14C101×#1762C211yesmaximal, characteristic
15C4×#102×C101C211yesmaximal, characteristic
16C2×C4⋊Q8×C101C2211yescharacteristic
17C2×C4×Q8×C101—21no—
18C2×C4×D4×C101C2211yescharacteristic
19C2×C4×D4×C101C2211yescharacteristic
20C2×C4×D4×C101C2211yescharacteristic
21#476×C101C418yescomplemented
22C2×#107×C101C2211yescharacteristic
23C2×#106×C101C2211yescharacteristic
24C2×#106×C101C2211yescharacteristic
25C2×#106×C101C2211yescharacteristic
26C2×C4⋊C8×C101C2211yescharacteristic
27C2×#102×C101C2211yescharacteristic
28C2×#102×C101C2211yescharacteristic
29C2×#102×C101C2211yescharacteristic
30C2×#102×C101C2211yescharacteristic
31C2×#97×C101C2211yescharacteristic
32C2×#97×C101C2211yescharacteristic
33C2×C4×C8×C101C2211yescharacteristic
34#391×C101—21no—
35#389×C101C2211yescharacteristic
36#389×C101C2211yescharacteristic
37#389×C101C2211yescharacteristic
38#389×C101C2211yescharacteristic
39#387×C101—21no—
40#387×C101—21no—
41#385×C101—21no—
42#385×C101—21no—
43#382×C101C2211yescharacteristic
44#380×C101—21no—
45C4×C4⋊C4×C101C2211yescharacteristic
46C4×C4⋊C4×C101C2211yescharacteristic
47C4×C4⋊C4×C101C2211yescharacteristic
48C4×C4⋊C4×C101C2211yescharacteristic
49C2×#95×C101—21no—
50#340×C101C2211yescharacteristic
51#340×C101C2211yescharacteristic
52#340×C101C2211yescharacteristic
53#340×C101C2211yescharacteristic
54#340×C101C2211yescharacteristic
55#340×C101C2211yescharacteristic
56#340×C101C2211yescharacteristic
57#340×C101C2211yescharacteristic
58#336×C101C2211yescharacteristic
59#336×C101C2211yescharacteristic
60C22×Q8×C101—21no—
61C22×D4×C101C2311yescharacteristic
62C23×C4×C101—21no—
63C23×C4×C101—21no—
64C23×C4×C101—21no—
65C22×C8×C101C2311yescharacteristic
66C22×C8×C101C2311yescharacteristic
67C22×C8×C101C2311yescharacteristic
68C22×C8×C101C2311yescharacteristic
69C4⋊Q8×C101—22no—
70C4⋊Q8×C101C2×C414yescomplemented
71C4×Q8×C101—44no—
72C4×D4×C101—22no—
73C4×D4×C101—22no—
74C4×D4×C101—22no—
75C4×D4×C101—41no—
76C4×D4×C101—41no—
77C4×D4×C101C2×C414yes—
78C2×C4⋊C4×C101—21no—
79C2×C4⋊C4×C101—21no—
80C2×C4⋊C4×C101—21no—
81C2×C4⋊C4×C101—21no—
82C2×C4⋊C4×C101—21no—
83C2×C4⋊C4×C101D411yescharacteristic
84C2×C4⋊C4×C101D411yescharacteristic
85C2×C4⋊C4×C101C2311yescharacteristic
86C2×C4⋊C4×C101C2311yescharacteristic
87C2×C4⋊C4×C101C2311yescharacteristic
88C2×C4⋊C4×C101C2311yescharacteristic
89C2×C4⋊C4×C101C2311yescharacteristic
90C2×C4⋊C4×C101C2311yescharacteristic
91C2×C4⋊C4×C101C2311yescharacteristic
92C2×C22⋊C4×C101—21no—
93C2×C22⋊C4×C101—21no—
94C2×C22⋊C4×C101—21no—
95C2×C42×C101—21no—
96C2×C42×C101—21no—
97C2×C42×C101—21no—
98C2×C42×C101C2311yescharacteristic
99C2×C42×C101C2311yescharacteristic
100C2×C42×C101C2311yescharacteristic
101#107×C101—41no—
102#106×C101—41no—
103#106×C101C2×C414yescomplemented
104#106×C101C2×C414yescomplemented
105C4⋊C8×C101C2×C414yescomplemented
106#102×C101—22no—
107#102×C101C2×C414yes—
108#102×C101C2×C414yes—
109#102×C101Q814yescomplemented
110#97×C101—22no—
111#97×C101—41no—
112C4×C8×C101—41no—
113#95×C101—21no—
114#95×C101—21no—
115#95×C101—21no—
116#95×C101—21no—
117#95×C101—21no—
118#95×C101—21no—
119#95×C101—21no—
120#95×C101—21no—
121#95×C101—21no—
122#95×C101D411yescharacteristic
123#95×C101D411yescharacteristic
124C24×C101—21no—
125C2×Q8×C101—24no—
126C2×Q8×C101—42no—
127C2×Q8×C101—42no—
128C2×D4×C101—21no—
129C2×D4×C101—21no—
130C2×D4×C101—21no—
131C2×D4×C101C22×C412yes—
132C2×D4×C101C2×Q812yes—
133C2×D4×C101#4112yes—
134C22×C4×C101—21no—
135C22×C4×C101—21no—
136C22×C4×C101—21no—
137C22×C4×C101—21no—
138C22×C4×C101—24no—
139C22×C4×C101—21no—
140C22×C4×C101—21no—
141C22×C4×C101—21no—
142C22×C4×C101—42no—
143C22×C4×C101—42no—
144C22×C4×C101—42no—
145C22×C4×C101—42no—
146C22×C4×C101—81no—
147C22×C4×C101—81no—
148C22×C4×C101—81no—
149C22×C4×C101—81no—
150C22×C4×C101C2×D411yescharacteristic
151C22×C4×C101C2×D411yescharacteristic
152C22×C4×C101C2×D411yescharacteristic
153C22×C4×C101C2×D411yescharacteristic
154C22×C4×C101C2×D411yescharacteristic
155C22×C4×C101C2×D411yescharacteristic
156C22×C4×C101C2411yescharacteristic
157C2×C8×C101—21no—
158C2×C8×C101—21no—
159C2×C8×C101—21no—
160C2×C8×C101—21no—
161C2×C8×C101—21no—
162C2×C8×C101—21no—
163C2×C8×C101—21no—
164C2×C8×C101—21no—
165C2×C8×C101—21no—
166C2×C8×C101C22×C412yes—
167C2×C8×C101C22×C412yes—
168C2×C8×C101C2×Q812yes—
169C4⋊C4×C101—24no—
170C4⋊C4×C101—22no—
171C4⋊C4×C101—21no—
172C4⋊C4×C101—21no—
173C4⋊C4×C101—21no—
174C4⋊C4×C101—21no—
175C4⋊C4×C101—21no—
176C4⋊C4×C101—21no—
177C4⋊C4×C101—21no—
178C4⋊C4×C101—21no—
179C4⋊C4×C101—21no—
180C4⋊C4×C101—21no—
181C4⋊C4×C101—41no—
182C4⋊C4×C101—42no—
183C4⋊C4×C101—42no—
184C4⋊C4×C101—81no—
185C4⋊C4×C101—81no—
186C4⋊C4×C101C22×C412yes—
187C4⋊C4×C101C22×C412yes—
188C4⋊C4×C101C22×C412yes—
189C4⋊C4×C101C2×Q812yes—
190C22⋊C4×C101—24no—
191C22⋊C4×C101—42no—
192C22⋊C4×C101—42no—
193C42×C101—21no—
194C42×C101—21no—
195C42×C101—21no—
196C42×C101—21no—
197C42×C101—42no—
198C42×C101—42no—
199C42×C101—42no—
200C42×C101C22×C412yes—
201C42×C101#4112yes—
202C23×C101—22no—
203C23×C101—22no—
204C23×C101—22no—
205C23×C101—41no—
206C23×C101—41no—
207C23×C101—41no—
208C23×C101—41no—
209C23×C101C22×D411yescharacteristic
210Q8×C101—48no—
211D4×C101—22no—
212D4×C101—22no—
213D4×C101—22no—
214D4×C101C4×Q814yescomplemented
215C2×C4×C101—21no—
216C2×C4×C101—21no—
217C2×C4×C101—21no—
218C2×C4×C101—21no—
219C2×C4×C101—21no—
220C2×C4×C101—21no—
221C2×C4×C101—22no—
222C2×C4×C101—22no—
223C2×C4×C101—22no—
224C2×C4×C101—21no—
225C2×C4×C101—21no—
226C2×C4×C101—21no—
227C2×C4×C101—22no—
228C2×C4×C101—21no—
229C2×C4×C101—21no—
230C2×C4×C101—21no—
231C2×C4×C101—21no—
232C2×C4×C101—21no—
233C2×C4×C101—21no—
234C2×C4×C101—41no—
235C2×C4×C101—41no—
236C2×C4×C101—41no—
237C2×C4×C101—41no—
238C2×C4×C101—41no—
239C2×C4×C101—41no—
240C2×C4×C101—41no—
241C2×C4×C101—41no—
242C2×C4×C101—41no—
243C2×C4×C101—41no—
244C2×C4×C101—41no—
245C2×C4×C101—41no—
246C2×C4×C101—41no—
247C2×C4×C101—41no—
248C2×C4×C101—41no—
249C2×C4×C101—41no—
250C2×C4×C101—41no—
251C2×C4×C101—84no—
252C2×C4×C101—84no—
253C2×C4×C101—84no—
254C2×C4×C101C4×D412yes—
255C2×C4×C101C4×D412yes—
256C2×C4×C101AGL(1,ℤ/8)12yes—
257C2×C4×C101C23×C411yescharacteristic
258C2×C4×C101C22×Q811yescharacteristic
259C2×C4×C101C2×#4111yescharacteristic
260C2×C4×C101C2×#4111yescharacteristic
261C2×C4×C101H(5,𝔽2)11yescharacteristic
262C2×C4×C1012−1+411yescharacteristic
263C8×C101—22no—
264C8×C101—22no—
265C8×C101—22no—
266C8×C101—41no—
267C22×C101—24no—
268C22×C101—42no—
269C22×C101—42no—
270C22×C101—42no—
271C22×C101—42no—
272C22×C101—42no—
273C22×C101—42no—
274C22×C101C2×C4×D411yescharacteristic
275C22×C101#54611yescharacteristic
276C22×C101D4×Q811yescharacteristic
277C22×C101C2×AGL(1,ℤ/8)11yescharacteristic
278C22×C101#57511yescharacteristic
279C22×C101#57711yescharacteristic
280C22×C101#57711yescharacteristic
281C4×C101—22no—
282C4×C101—22no—
283C4×C101—22no—
284C4×C101—42no—
285C4×C101—42no—
286C4×C101—42no—
287C4×C101—42no—
288C4×C101—41no—
289C4×C101—41no—
290C4×C101—41no—
291C4×C101—81no—
292C4×C101—81no—
293C4×C101—81no—
294C4×C101C2×C4×Q811yescharacteristic
295C4×C101#52011yescharacteristic
296C4×C101#55211yescharacteristic
297C4×C101#55411yescharacteristic
298#22975C10111yesmaximal, characteristic, direct product factor, Sylow
299C2×C101—44no—
300C2×C101#236011yescharacteristic
301C2×C101C4×AGL(1,ℤ/8)11yescharacteristic
302C2×C101#294911yescharacteristic
303C2×C101#330611yescharacteristic
304C2×C101#331111yescharacteristic
305C2×C101#338411yescharacteristic
306C2×C101#338811yescharacteristic
307C2×#476C2×C10111yescharacteristic
308#2365C2×C10111yescharacteristic, complemented
309#2349C2×C10111yescharacteristic
310#1993C2×C10111yescharacteristic, complemented
311#1949C2×C10111yescharacteristic, complemented
312#1944C2×C10111yescharacteristic, complemented
313#1941C2×C10111yescharacteristic, complemented
314#1920C2×C10111yescharacteristic, complemented
315#1919C2×C10111yescharacteristic, complemented
316#1864C2×C10111yescharacteristic
317#1862C2×C10111yescharacteristic
318#1771C2×C10111yescharacteristic, complemented
319#1762C2×C10111yescharacteristic
320#1762C2×C10111yescharacteristic
321C4×#102C2×C10111yescharacteristic
322C101#2297511yescharacteristic, direct product factor, Sylow
323C2×C4⋊Q8C22×C10111yescharacteristic
324C2×C4×Q8—21no—
325C2×C4×D4C22×C10111yescharacteristic
326C2×C4×D4C22×C10111yescharacteristic
327C2×C4×D4C22×C10111yescharacteristic
328#476C4×C10118yescomplemented
329C2×#107C22×C10111yescharacteristic
330C2×#106C22×C10111yescharacteristic
331C2×#106C22×C10111yescharacteristic
332C2×#106C22×C10111yescharacteristic
333C2×C4⋊C8C22×C10111yescharacteristic
334C2×#102C22×C10111yescharacteristic
335C2×#102C22×C10111yescharacteristic
336C2×#102C22×C10111yescharacteristic
337C2×#102C22×C10111yescharacteristic
338C2×#97C22×C10111yescharacteristic
339C2×#97C22×C10111yescharacteristic
340C2×C4×C8C22×C10111yescharacteristic
341#391—21no—
342#389C22×C10111yescharacteristic
343#389C22×C10111yescharacteristic
344#389C22×C10111yescharacteristic
345#389C22×C10111yescharacteristic
346#387—21no—
347#387—21no—
348#385—21no—
349#385—21no—
350#382C22×C10111yescharacteristic
351#380—21no—
352C4×C4⋊C4C22×C10111yescharacteristic
353C4×C4⋊C4C22×C10111yescharacteristic
354C4×C4⋊C4C22×C10111yescharacteristic
355C4×C4⋊C4C22×C10111yescharacteristic
356C2×#95—21no—
357#340C22×C10111yescharacteristic
358#340C22×C10111yescharacteristic
359#340C22×C10111yescharacteristic
360#340C22×C10111yescharacteristic
361#340C22×C10111yescharacteristic
362#340C22×C10111yescharacteristic
363#340C22×C10111yescharacteristic
364#340C22×C10111yescharacteristic
365#336C22×C10111yescharacteristic
366#336C22×C10111yescharacteristic
367C22×Q8—21no—
368C22×D4C23×C10111yescharacteristic
369C23×C4—21no—
370C23×C4—21no—
371C23×C4—21no—
372C22×C8C23×C10111yescharacteristic
373C22×C8C23×C10111yescharacteristic
374C22×C8C23×C10111yescharacteristic
375C22×C8C23×C10111yescharacteristic
376C4⋊Q8—22no—
377C4⋊Q8C2×C4×C10114yescomplemented
378C4×Q8—44no—
379C4×D4—22no—
380C4×D4—22no—
381C4×D4—22no—
382C4×D4—41no—
383C4×D4—41no—
384C4×D4C2×C4×C10114yes—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4D4×C10111yescharacteristic
391C2×C4⋊C4D4×C10111yescharacteristic
392C2×C4⋊C4C23×C10111yescharacteristic
393C2×C4⋊C4C23×C10111yescharacteristic
394C2×C4⋊C4C23×C10111yescharacteristic
395C2×C4⋊C4C23×C10111yescharacteristic
396C2×C4⋊C4C23×C10111yescharacteristic
397C2×C4⋊C4C23×C10111yescharacteristic
398C2×C4⋊C4C23×C10111yescharacteristic
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C42—21no—
403C2×C42—21no—
404C2×C42—21no—
405C2×C42C23×C10111yescharacteristic
406C2×C42C23×C10111yescharacteristic
407C2×C42C23×C10111yescharacteristic
408#107—41no—
409#106—41no—
410#106C2×C4×C10114yescomplemented
411#106C2×C4×C10114yescomplemented
412C4⋊C8C2×C4×C10114yescomplemented
413#102—22no—
414#102C2×C4×C10114yes—
415#102C2×C4×C10114yes—
416#102Q8×C10114yescomplemented
417#97—22no—
418#97—41no—
419C4×C8—41no—
420#95—21no—
421#95—21no—
422#95—21no—
423#95—21no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—21no—
428#95—21no—
429#95D4×C10111yescharacteristic
430#95D4×C10111yescharacteristic
431C24—21no—
432C2×Q8—24no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×D4—21no—
436C2×D4—21no—
437C2×D4—21no—
438C2×D4C22×C4×C10112yes—
439C2×D4C2×Q8×C10112yes—
440C2×D4#41×C10112yes—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—24no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—42no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—81no—
454C22×C4—81no—
455C22×C4—81no—
456C22×C4—81no—
457C22×C4C2×D4×C10111yescharacteristic
458C22×C4C2×D4×C10111yescharacteristic
459C22×C4C2×D4×C10111yescharacteristic
460C22×C4C2×D4×C10111yescharacteristic
461C22×C4C2×D4×C10111yescharacteristic
462C22×C4C2×D4×C10111yescharacteristic
463C22×C4C24×C10111yescharacteristic
464C2×C8—21no—
465C2×C8—21no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8C22×C4×C10112yes—
474C2×C8C22×C4×C10112yes—
475C2×C8C2×Q8×C10112yes—
476C4⋊C4—24no—
477C4⋊C4—22no—
478C4⋊C4—21no—
479C4⋊C4—21no—
480C4⋊C4—21no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—41no—
489C4⋊C4—42no—
490C4⋊C4—42no—
491C4⋊C4—81no—
492C4⋊C4—81no—
493C4⋊C4C22×C4×C10112yes—
494C4⋊C4C22×C4×C10112yes—
495C4⋊C4C22×C4×C10112yes—
496C4⋊C4C2×Q8×C10112yes—
497C22⋊C4—24no—
498C22⋊C4—42no—
499C22⋊C4—42no—
500C42—21no—
501C42—21no—
502C42—21no—
503C42—21no—
504C42—42no—
505C42—42no—
506C42—42no—
507C42C22×C4×C10112yes—
508C42#41×C10112yes—
509C23—22no—
510C23—22no—
511C23—22no—
512C23—41no—
513C23—41no—
514C23—41no—
515C23—41no—
516C23C22×D4×C10111yescharacteristic
517Q8—48no—
518D4—22no—
519D4—22no—
520D4—22no—
521D4C4×Q8×C10114yescomplemented
522C2×C4—21no—
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—22no—
531C2×C4—21no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—22no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—41no—
542C2×C4—41no—
543C2×C4—41no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—84no—
559C2×C4—84no—
560C2×C4—84no—
561C2×C4C4×D4×C10112yes—
562C2×C4C4×D4×C10112yes—
563C2×C4AGL(1,ℤ/8)×C10112yes—
564C2×C4C23×C4×C10111yescharacteristic
565C2×C4C22×Q8×C10111yescharacteristic
566C2×C4C2×#41×C10111yescharacteristic
567C2×C4C2×#41×C10111yescharacteristic
568C2×C4H(5,𝔽2)×C10111yescharacteristic
569C2×C42−1+4×C10111yescharacteristic
570C8—22no—
571C8—22no—
572C8—22no—
573C8—41no—
574C22—24no—
575C22—42no—
576C22—42no—
577C22—42no—
578C22—42no—
579C22—42no—
580C22—42no—
581C22C2×C4×D4×C10111yescharacteristic
582C22#546×C10111yescharacteristic
583C22D4×Q8×C10111yescharacteristic
584C22C2×AGL(1,ℤ/8)×C10111yescharacteristic
585C22#575×C10111yescharacteristic
586C22#577×C10111yescharacteristic
587C22#577×C10111yescharacteristic
588C4—22no—
589C4—22no—
590C4—22no—
591C4—42no—
592C4—42no—
593C4—42no—
594C4—41no—
595C4—41no—
596C4—41no—
597C4—42no—
598C4—81no—
599C4—81no—
600C4—81no—
601C4C2×C4×Q8×C10111yescharacteristic
602C4#520×C10111yescharacteristic
603C4#552×C10111yescharacteristic
604C4#554×C10111yescharacteristic
605C2—44no—
606C2C101×#236011yescharacteristic
607C2C4×AGL(1,ℤ/8)×C10111yescharacteristic
608C2C101×#294911yescharacteristic
609C2C101×#330611yescharacteristic
610C2C101×#331111yescharacteristic
611C2C101×#338411yescharacteristic
612C2C101×#338811yescharacteristic
subgroupG/H
center, socleC23×C101C22×D4
commutatorC2×C4C23×C4×C101
Frattini, cosocleC22×C4C24×C101
prime radicalC22×D4×C101C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C101 ◁ C4×C4⋊C4×C101 ◁ G

Complements

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

NH ≅ G/Ntype
2. C101×#2365C2semidirect
4. C101×#1993C2semidirect
5. C101×#1949C2semidirect
6. C101×#1944C2semidirect
7. C101×#1941C2semidirect
8. C101×#1920C2semidirect
9. C101×#1919C2semidirect
12. C101×#1771C2semidirect
21. #476×C101C4semidirect
70. C4⋊Q8×C101C2×C4semidirect
103. #106×C101C2×C4semidirect
104. #106×C101C2×C4semidirect
105. C4⋊C8×C101C2×C4semidirect
109. #102×C101Q8semidirect
214. D4×C101C4×Q8semidirect
298. #22975C101direct (N × H)
308. #2365C2×C101semidirect
310. #1993C2×C101semidirect
311. #1949C2×C101semidirect
312. #1944C2×C101semidirect
313. #1941C2×C101semidirect
314. #1920C2×C101semidirect
315. #1919C2×C101semidirect
318. #1771C2×C101semidirect
322. C101#22975direct (N × H)
328. #476C4×C101semidirect
377. C4⋊Q8C2×C4×C101semidirect
410. #106C2×C4×C101semidirect
411. #106C2×C4×C101semidirect
412. C4⋊C8C2×C4×C101semidirect
416. #102Q8×C101semidirect
521. D4C4×Q8×C101semidirect

Maximal subgroups

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

subgroupindex
C2×#476×C1012
C101×#23652
C101×#23492
C101×#19932
C101×#19492
C101×#19442
C101×#19412
C101×#19202
C101×#19192
C101×#18642
C101×#18622
C101×#17712
C101×#17622
C4×#102×C1012
#22975101