Finite Group Databasebeta

← C101×#19755 #38801906

Subgroups — C101×#19755 #38801906

Order 25856.

842 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
1C101×#3294C211yesmaximal, characteristic, complemented
2D4×D8×C101C211yesmaximal, characteristic, complemented
3D4×D8×C101C211yesmaximal, characteristic, complemented
4C101×#3272C211yesmaximal, characteristic, complemented
5C101×#1721C211yesmaximal, characteristic, complemented
6C101×#1687C211yesmaximal, characteristic, complemented
7C101×#1681C211yesmaximal, characteristic, complemented
8C101×#1667C211yesmaximal, characteristic, complemented
9C101×#1665C211yesmaximal, characteristic, complemented
10C101×#1639C211yesmaximal, characteristic, complemented
11C101×#1625C211yesmaximal, characteristic, complemented
12C101×#1619C211yesmaximal, characteristic, complemented
13C101×#1619C211yesmaximal, characteristic, complemented
14C101×#1581C211yesmaximal, characteristic, complemented
15C101×#1580C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C101—21no—
17C22×D8×C101—21no—
18C22×D8×C101—21no—
19#547×C101C2211yescharacteristic, complemented
20D42×C101C2211yescharacteristic
21D42×C101C2211yescharacteristic, complemented
22D42×C101C2211yescharacteristic, complemented
23#493×C101C2211yescharacteristic, complemented
24#493×C101C2211yescharacteristic, complemented
25#493×C101C2211yescharacteristic, complemented
26#492×C101C2211yescharacteristic, complemented
27#486×C101C2211yescharacteristic, complemented
28#486×C101C2211yescharacteristic, complemented
29#480×C101—21no—
30#474×C101C2211yescharacteristic, complemented
31#468×C101—21no—
32#466×C101—21no—
33#466×C101—21no—
34#466×C101—21no—
35#461×C101C2211yescharacteristic, complemented
36#459×C101C2211yescharacteristic
37#459×C101C2211yescharacteristic
38#459×C101C2211yescharacteristic, complemented
39#459×C101C2211yescharacteristic, complemented
40#459×C101C2211yescharacteristic, complemented
41#459×C101C2211yescharacteristic, complemented
42#450×C101—21no—
43#449×C101—21no—
44#447×C101—21no—
45#447×C101—21no—
46#447×C101—21no—
47#447×C101—21no—
48#447×C101—21no—
49C4×D8×C101C2211yescharacteristic
50C4×D8×C101C2211yescharacteristic
51#436×C101C2211yescharacteristic, complemented
52C8×D4×C101C2211yescharacteristic, complemented
53C8×D4×C101C2211yescharacteristic, complemented
54C8×D4×C101C2211yescharacteristic, complemented
55C2×#102×C101—21no—
56#335×C101C2211yescharacteristic, complemented
57#334×C101C2211yescharacteristic, complemented
58#332×C101C2211yescharacteristic, complemented
59#331×C101C2211yescharacteristic, complemented
60#331×C101C2211yescharacteristic, complemented
61#331×C101C2211yescharacteristic, complemented
62D4⋊C8×C101C2211yescharacteristic, complemented
63D4⋊C8×C101C2211yescharacteristic, complemented
64D4⋊C8×C101C2211yescharacteristic, complemented
65D4⋊C8×C101C2211yescharacteristic, complemented
66#322×C101C2211yescharacteristic, complemented
67C2×#41×C101—21no—
68C22×D4×C101—21no—
69C22×D4×C101—21no—
70C22×D4×C101—21no—
71C22×D4×C101—21no—
72C22×D4×C101—21no—
73C22×D4×C101—21no—
74AGL(1,ℤ/8)×C101—44no—
75C2×SD16×C101—21no—
76C2×SD16×C101—21no—
77C2×SD16×C101—21no—
78C2×D8×C101—21no—
79C2×D8×C101—21no—
80C2×D8×C101—21no—
81C2×D8×C101—21no—
82C2×D8×C101—21no—
83C2×D8×C101—21no—
84C2×D8×C101—21no—
85C2×D8×C101—21no—
86C2×D8×C101—21no—
87C2×D8×C101—21no—
88C2×D8×C101—41no—
89C2×D8×C101—44no—
90C2×D8×C101—44no—
91C2×D8×C101D411yescharacteristic
92C2×D8×C101D411yescharacteristic
93C2×M16×C101—21no—
94C22×C8×C101—21no—
95C22×C8×C101—21no—
96C22×C8×C101—21no—
97C4⋊Q8×C101C2311yescharacteristic
98#127×C101C2311yescharacteristic
99#127×C101C2311yescharacteristic
100#127×C101C2311yescharacteristic
101#123×C101—41no—
102C22⋊Q8×C101—21no—
103#121×C101—21no—
104#121×C101—21no—
105#121×C101—21no—
106#121×C101—21no—
107#121×C101—21no—
108#121×C101—21no—
109#121×C101—21no—
110#120×C101—41no—
111#120×C101—41no—
112#120×C101—41no—
113C4×D4×C101C2311yescharacteristic
114C4×D4×C101C2311yescharacteristic
115C4×D4×C101C2311yescharacteristic
116C4×D4×C101C2311yescharacteristic
117C2×C4⋊C4×C101—21no—
118#107×C101—21no—
119#107×C101D411yescharacteristic
120#107×C101D411yescharacteristic
121C4⋊C8×C101C2311yescharacteristic
122C4⋊C8×C101C2311yescharacteristic
123C4⋊C8×C101C2311yescharacteristic
124C4⋊C8×C101C2311yescharacteristic
125#103×C101—21no—
126#102×C101—21no—
127#102×C101—21no—
128#102×C101—21no—
129#102×C101—21no—
130#102×C101—21no—
131#102×C101—21no—
132#102×C101—21no—
133#102×C101—21no—
134#102×C101—21no—
135#102×C101—41no—
136#102×C101D411yescharacteristic
137#102×C101D411yescharacteristic
138#102×C101D411yescharacteristic
139#102×C101D411yescharacteristic
140C22⋊C8×C101—21no—
141C22⋊C8×C101—21no—
142C22⋊C8×C101—21no—
143C22⋊C8×C101—21no—
144C4×C8×C101C2311yescharacteristic
145C4×C8×C101C2311yescharacteristic
146C4×C8×C101C2311yescharacteristic
147C24×C101—41no—
148C24×C101—41no—
149C24×C101—41no—
150#41×C101—42no—
151#41×C101—81no—
152C2×Q8×C101—21no—
153C2×D4×C101—21no—
154C2×D4×C101—21no—
155C2×D4×C101—21no—
156C2×D4×C101—21no—
157C2×D4×C101—21no—
158C2×D4×C101—21no—
159C2×D4×C101—21no—
160C2×D4×C101—21no—
161C2×D4×C101—21no—
162C2×D4×C101—41no—
163C2×D4×C101—41no—
164C2×D4×C101—41no—
165C2×D4×C101—41no—
166C2×D4×C101—41no—
167C2×D4×C101—41no—
168C2×D4×C101—42no—
169C2×D4×C101—42no—
170C2×D4×C101—42no—
171C2×D4×C101—42no—
172C2×D4×C101—42no—
173C2×D4×C101—42no—
174C2×D4×C101—41no—
175C2×D4×C101—81no—
176C2×D4×C101—81no—
177C2×D4×C101—81no—
178C2×D4×C101—81no—
179C2×D4×C101—81no—
180C2×D4×C101—81no—
181C2×D4×C101C2×D411yescharacteristic
182C2×D4×C101C2×D411yescharacteristic
183C2×D4×C101C2×D411yescharacteristic
184C2×D4×C101C2×D411yescharacteristic
185C22×C4×C101—21no—
186C22×C4×C101—21no—
187C22×C4×C101—21no—
188C22×C4×C101—21no—
189C22×C4×C101—41no—
190SD16×C101—42no—
191SD16×C101—42no—
192SD16×C101—81no—
193D8×C101—22no—
194D8×C101—42no—
195D8×C101—42no—
196D8×C101—42no—
197D8×C101—42no—
198D8×C101—42no—
199D8×C101—42no—
200D8×C101—42no—
201D8×C101—81no—
202D8×C101—81no—
203D8×C101—81no—
204D8×C101—82no—
205D8×C101D814yescomplemented
206M16×C101—42no—
207C2×C8×C101—21no—
208C2×C8×C101—21no—
209C2×C8×C101—21no—
210C2×C8×C101—21no—
211C2×C8×C101—21no—
212C2×C8×C101—42no—
213C2×C8×C101—42no—
214C2×C8×C101—81no—
215C2×C8×C101C2×D411yescharacteristic
216C2×C8×C101C2×D411yescharacteristic
217C2×C8×C101C2×D411yescharacteristic
218C2×C8×C101C2×D411yescharacteristic
219C4⋊C4×C101—21no—
220C4⋊C4×C101—21no—
221C4⋊C4×C101—41no—
222C4⋊C4×C101C2×D411yescharacteristic
223C4⋊C4×C101C2×D411yescharacteristic
224C4⋊C4×C101C2×D411yescharacteristic
225C4⋊C4×C101C2×D411yescharacteristic
226C22⋊C4×C101—21no—
227C22⋊C4×C101—21no—
228C22⋊C4×C101—21no—
229C22⋊C4×C101—21no—
230C22⋊C4×C101—41no—
231C22⋊C4×C101—41no—
232C22⋊C4×C101—41no—
233C22⋊C4×C101—41no—
234C42×C101C2411yescharacteristic
235C23×C101—21no—
236C23×C101—21no—
237C23×C101—21no—
238C23×C101—21no—
239C23×C101—41no—
240C23×C101—41no—
241C23×C101—41no—
242C23×C101—82no—
243C23×C101—82no—
244C23×C101—82no—
245C23×C101—82no—
246C23×C101—82no—
247C23×C101—82no—
248C23×C101—161no—
249C23×C101—161no—
250C23×C101—161no—
251Q8×C101—41no—
252Q8×C101—41no—
253D4×C101—21no—
254D4×C101—21no—
255D4×C101—21no—
256D4×C101—21no—
257D4×C101—21no—
258D4×C101—41no—
259D4×C101—41no—
260D4×C101—41no—
261D4×C101—41no—
262D4×C101—41no—
263D4×C101—41no—
264D4×C101—41no—
265D4×C101—41no—
266D4×C101—41no—
267D4×C101—41no—
268D4×C101—41no—
269D4×C101—41no—
270D4×C101—81no—
271D4×C101—81no—
272D4×C101—81no—
273D4×C101—82no—
274D4×C101—82no—
275D4×C101—82no—
276D4×C101—82no—
277D4×C101—82no—
278D4×C101—82no—
279D4×C101—82no—
280D4×C101C2×D812yes—
281D4×C101C2×D812yescomplemented
282D4×C101AGL(1,ℤ/8)12yescomplemented
283C2×C4×C101—21no—
284C2×C4×C101—21no—
285C2×C4×C101—21no—
286C2×C4×C101—21no—
287C2×C4×C101—41no—
288C2×C4×C101—41no—
289C2×C4×C101—41no—
290C2×C4×C101—41no—
291C2×C4×C101—41no—
292C2×C4×C101—41no—
293C2×C4×C101—41no—
294C2×C4×C101—41no—
295C2×C4×C101—41no—
296C2×C4×C101—82no—
297C2×C4×C101C22×D411yescharacteristic
298C2×C4×C101C22×D411yescharacteristic
299C2×C4×C101H(5,𝔽2)11yescharacteristic
300C8×C101—21no—
301C8×C101—21no—
302C8×C101—21no—
303C8×C101—41no—
304C8×C101—41no—
305C8×C101—41no—
306C8×C101—41no—
307C8×C101—41no—
308C8×C101C2×D812yescomplemented
309C22×C101—22no—
310C22×C101—22no—
311C22×C101—22no—
312C22×C101—41no—
313C22×C101—41no—
314C22×C101—41no—
315C22×C101—41no—
316C22×C101—41no—
317C22×C101—41no—
318C22×C101—41no—
319C22×C101—41no—
320C22×C101—41no—
321C22×C101—81no—
322C22×C101—81no—
323C22×C101—81no—
324C22×C101—81no—
325C22×C101—81no—
326C22×C101—81no—
327C22×C101—81no—
328C22×C101—81no—
329C22×C101—81no—
330C22×C101—164no—
331C22×C101—164no—
332C22×C101—164no—
333C22×C101D4211yescharacteristic
334C4×C101—21no—
335C4×C101—41no—
336C4×C101—41no—
337C4×C101—41no—
338C4×C101—41no—
339C4×C101—81no—
340C4×C101C22×D811yescharacteristic
341C4×C101C2×AGL(1,ℤ/8)11yescharacteristic
342C4×C101#57611yescharacteristic
343C4×C101#57611yescharacteristic
344#19755C10111yesmaximal, characteristic, direct product factor, Sylow
345C2×C101—42no—
346C2×C101—42no—
347C2×C101—42no—
348C2×C101—81no—
349C2×C101—161no—
350C2×C101—161no—
351C2×C101—161no—
352C2×C101#326411yescharacteristic
353C2×C101D4×D811yescharacteristic
354C2×C101#328811yescharacteristic
355#3294C2×C10111yescharacteristic, complemented
356D4×D8C2×C10111yescharacteristic, complemented
357D4×D8C2×C10111yescharacteristic, complemented
358#3272C2×C10111yescharacteristic, complemented
359#1721C2×C10111yescharacteristic, complemented
360#1687C2×C10111yescharacteristic, complemented
361#1681C2×C10111yescharacteristic, complemented
362#1667C2×C10111yescharacteristic, complemented
363#1665C2×C10111yescharacteristic, complemented
364#1639C2×C10111yescharacteristic, complemented
365#1625C2×C10111yescharacteristic, complemented
366#1619C2×C10111yescharacteristic, complemented
367#1619C2×C10111yescharacteristic, complemented
368#1581C2×C10111yescharacteristic, complemented
369#1580C2×C10111yescharacteristic, complemented
370C101#1975511yescharacteristic, direct product factor, Sylow
371C2×AGL(1,ℤ/8)—21no—
372C22×D8—21no—
373C22×D8—21no—
374#547C22×C10111yescharacteristic, complemented
375D42C22×C10111yescharacteristic
376D42C22×C10111yescharacteristic, complemented
377D42C22×C10111yescharacteristic, complemented
378#493C22×C10111yescharacteristic, complemented
379#493C22×C10111yescharacteristic, complemented
380#493C22×C10111yescharacteristic, complemented
381#492C22×C10111yescharacteristic, complemented
382#486C22×C10111yescharacteristic, complemented
383#486C22×C10111yescharacteristic, complemented
384#480—21no—
385#474C22×C10111yescharacteristic, complemented
386#468—21no—
387#466—21no—
388#466—21no—
389#466—21no—
390#461C22×C10111yescharacteristic, complemented
391#459C22×C10111yescharacteristic
392#459C22×C10111yescharacteristic
393#459C22×C10111yescharacteristic, complemented
394#459C22×C10111yescharacteristic, complemented
395#459C22×C10111yescharacteristic, complemented
396#459C22×C10111yescharacteristic, complemented
397#450—21no—
398#449—21no—
399#447—21no—
400#447—21no—
401#447—21no—
402#447—21no—
403#447—21no—
404C4×D8C22×C10111yescharacteristic
405C4×D8C22×C10111yescharacteristic
406#436C22×C10111yescharacteristic, complemented
407C8×D4C22×C10111yescharacteristic, complemented
408C8×D4C22×C10111yescharacteristic, complemented
409C8×D4C22×C10111yescharacteristic, complemented
410C2×#102—21no—
411#335C22×C10111yescharacteristic, complemented
412#334C22×C10111yescharacteristic, complemented
413#332C22×C10111yescharacteristic, complemented
414#331C22×C10111yescharacteristic, complemented
415#331C22×C10111yescharacteristic, complemented
416#331C22×C10111yescharacteristic, complemented
417D4⋊C8C22×C10111yescharacteristic, complemented
418D4⋊C8C22×C10111yescharacteristic, complemented
419D4⋊C8C22×C10111yescharacteristic, complemented
420D4⋊C8C22×C10111yescharacteristic, complemented
421#322C22×C10111yescharacteristic, complemented
422C2×#41—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—21no—
428C22×D4—21no—
429AGL(1,ℤ/8)—44no—
430C2×SD16—21no—
431C2×SD16—21no—
432C2×SD16—21no—
433C2×D8—21no—
434C2×D8—21no—
435C2×D8—21no—
436C2×D8—21no—
437C2×D8—21no—
438C2×D8—21no—
439C2×D8—21no—
440C2×D8—21no—
441C2×D8—21no—
442C2×D8—21no—
443C2×D8—41no—
444C2×D8—44no—
445C2×D8—44no—
446C2×D8D4×C10111yescharacteristic
447C2×D8D4×C10111yescharacteristic
448C2×M16—21no—
449C22×C8—21no—
450C22×C8—21no—
451C22×C8—21no—
452C4⋊Q8C23×C10111yescharacteristic
453#127C23×C10111yescharacteristic
454#127C23×C10111yescharacteristic
455#127C23×C10111yescharacteristic
456#123—41no—
457C22⋊Q8—21no—
458#121—21no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#120—41no—
466#120—41no—
467#120—41no—
468C4×D4C23×C10111yescharacteristic
469C4×D4C23×C10111yescharacteristic
470C4×D4C23×C10111yescharacteristic
471C4×D4C23×C10111yescharacteristic
472C2×C4⋊C4—21no—
473#107—21no—
474#107D4×C10111yescharacteristic
475#107D4×C10111yescharacteristic
476C4⋊C8C23×C10111yescharacteristic
477C4⋊C8C23×C10111yescharacteristic
478C4⋊C8C23×C10111yescharacteristic
479C4⋊C8C23×C10111yescharacteristic
480#103—21no—
481#102—21no—
482#102—21no—
483#102—21no—
484#102—21no—
485#102—21no—
486#102—21no—
487#102—21no—
488#102—21no—
489#102—21no—
490#102—41no—
491#102D4×C10111yescharacteristic
492#102D4×C10111yescharacteristic
493#102D4×C10111yescharacteristic
494#102D4×C10111yescharacteristic
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C4×C8C23×C10111yescharacteristic
500C4×C8C23×C10111yescharacteristic
501C4×C8C23×C10111yescharacteristic
502C24—41no—
503C24—41no—
504C24—41no—
505#41—42no—
506#41—81no—
507C2×Q8—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—41no—
520C2×D4—41no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—41no—
530C2×D4—81no—
531C2×D4—81no—
532C2×D4—81no—
533C2×D4—81no—
534C2×D4—81no—
535C2×D4—81no—
536C2×D4C2×D4×C10111yescharacteristic
537C2×D4C2×D4×C10111yescharacteristic
538C2×D4C2×D4×C10111yescharacteristic
539C2×D4C2×D4×C10111yescharacteristic
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—41no—
545SD16—42no—
546SD16—42no—
547SD16—81no—
548D8—22no—
549D8—42no—
550D8—42no—
551D8—42no—
552D8—42no—
553D8—42no—
554D8—42no—
555D8—42no—
556D8—81no—
557D8—81no—
558D8—81no—
559D8—82no—
560D8D8×C10114yescomplemented
561M16—42no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—42no—
569C2×C8—81no—
570C2×C8C2×D4×C10111yescharacteristic
571C2×C8C2×D4×C10111yescharacteristic
572C2×C8C2×D4×C10111yescharacteristic
573C2×C8C2×D4×C10111yescharacteristic
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—41no—
577C4⋊C4C2×D4×C10111yescharacteristic
578C4⋊C4C2×D4×C10111yescharacteristic
579C4⋊C4C2×D4×C10111yescharacteristic
580C4⋊C4C2×D4×C10111yescharacteristic
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C42C24×C10111yescharacteristic
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—82no—
598C23—82no—
599C23—82no—
600C23—82no—
601C23—82no—
602C23—82no—
603C23—161no—
604C23—161no—
605C23—161no—
606Q8—41no—
607Q8—41no—
608D4—21no—
609D4—21no—
610D4—21no—
611D4—21no—
612D4—21no—
613D4—41no—
614D4—41no—
615D4—41no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—41no—
621D4—41no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—81no—
626D4—81no—
627D4—81no—
628D4—82no—
629D4—82no—
630D4—82no—
631D4—82no—
632D4—82no—
633D4—82no—
634D4—82no—
635D4C2×D8×C10112yes—
636D4C2×D8×C10112yescomplemented
637D4AGL(1,ℤ/8)×C10112yescomplemented
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—82no—
652C2×C4C22×D4×C10111yescharacteristic
653C2×C4C22×D4×C10111yescharacteristic
654C2×C4H(5,𝔽2)×C10111yescharacteristic
655C8—21no—
656C8—21no—
657C8—21no—
658C8—41no—
659C8—41no—
660C8—41no—
661C8—41no—
662C8—41no—
663C8C2×D8×C10112yescomplemented
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—164no—
686C22—164no—
687C22—164no—
688C22D42×C10111yescharacteristic
689C4—21no—
690C4—41no—
691C4—41no—
692C4—41no—
693C4—41no—
694C4—81no—
695C4C22×D8×C10111yescharacteristic
696C4C2×AGL(1,ℤ/8)×C10111yescharacteristic
697C4#576×C10111yescharacteristic
698C4#576×C10111yescharacteristic
699C2—42no—
700C2—42no—
701C2—42no—
702C2—81no—
703C2—161no—
704C2—161no—
705C2—161no—
706C2C101×#326411yescharacteristic
707C2D4×D8×C10111yescharacteristic
708C2C101×#328811yescharacteristic
subgroupG/H
center, socleC22×C101D42
commutator, Frattini, cosocleC42C24×C101
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C101 ◁ C42×C101 ◁ G

Complements

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

NH ≅ G/Ntype
1. C101×#3294C2semidirect
2. D4×D8×C101C2semidirect
3. D4×D8×C101C2semidirect
4. C101×#3272C2semidirect
5. C101×#1721C2semidirect
6. C101×#1687C2semidirect
7. C101×#1681C2semidirect
8. C101×#1667C2semidirect
9. C101×#1665C2semidirect
10. C101×#1639C2semidirect
11. C101×#1625C2semidirect
12. C101×#1619C2semidirect
13. C101×#1619C2semidirect
14. C101×#1581C2semidirect
15. C101×#1580C2semidirect
19. #547×C101C22semidirect
21. D42×C101C22semidirect
22. D42×C101C22semidirect
23. #493×C101C22semidirect
24. #493×C101C22semidirect
25. #493×C101C22semidirect
26. #492×C101C22semidirect
27. #486×C101C22semidirect
28. #486×C101C22semidirect
30. #474×C101C22semidirect
35. #461×C101C22semidirect
38. #459×C101C22semidirect
39. #459×C101C22semidirect
40. #459×C101C22semidirect
41. #459×C101C22semidirect
51. #436×C101C22semidirect
52. C8×D4×C101C22semidirect
53. C8×D4×C101C22semidirect
54. C8×D4×C101C22semidirect
56. #335×C101C22semidirect
57. #334×C101C22semidirect
58. #332×C101C22semidirect
59. #331×C101C22semidirect
60. #331×C101C22semidirect
61. #331×C101C22semidirect
62. D4⋊C8×C101C22semidirect
63. D4⋊C8×C101C22semidirect
64. D4⋊C8×C101C22semidirect
65. D4⋊C8×C101C22semidirect
66. #322×C101C22semidirect
205. D8×C101D8semidirect
281. D4×C101C2×D8semidirect
282. D4×C101AGL(1,ℤ/8)semidirect
308. C8×C101C2×D8semidirect
344. #19755C101direct (N × H)
355. #3294C2×C101semidirect
356. D4×D8C2×C101semidirect
357. D4×D8C2×C101semidirect
358. #3272C2×C101semidirect
359. #1721C2×C101semidirect
360. #1687C2×C101semidirect
361. #1681C2×C101semidirect
362. #1667C2×C101semidirect
363. #1665C2×C101semidirect
364. #1639C2×C101semidirect
365. #1625C2×C101semidirect
366. #1619C2×C101semidirect
367. #1619C2×C101semidirect
368. #1581C2×C101semidirect
369. #1580C2×C101semidirect
370. C101#19755direct (N × H)
374. #547C22×C101semidirect
376. D42C22×C101semidirect
377. D42C22×C101semidirect
378. #493C22×C101semidirect
379. #493C22×C101semidirect
380. #493C22×C101semidirect
381. #492C22×C101semidirect
382. #486C22×C101semidirect
383. #486C22×C101semidirect
385. #474C22×C101semidirect
390. #461C22×C101semidirect
393. #459C22×C101semidirect
394. #459C22×C101semidirect
395. #459C22×C101semidirect
396. #459C22×C101semidirect
406. #436C22×C101semidirect
407. C8×D4C22×C101semidirect
408. C8×D4C22×C101semidirect
409. C8×D4C22×C101semidirect
411. #335C22×C101semidirect
412. #334C22×C101semidirect
413. #332C22×C101semidirect
414. #331C22×C101semidirect
415. #331C22×C101semidirect
416. #331C22×C101semidirect
417. D4⋊C8C22×C101semidirect
418. D4⋊C8C22×C101semidirect
419. D4⋊C8C22×C101semidirect
420. D4⋊C8C22×C101semidirect
421. #322C22×C101semidirect
560. D8D8×C101semidirect
636. D4C2×D8×C101semidirect
637. D4AGL(1,ℤ/8)×C101semidirect
663. C8C2×D8×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#32942
D4×D8×C1012
C101×#32722
C101×#17212
C101×#16872
C101×#16812
C101×#16672
C101×#16652
C101×#16392
C101×#16252
C101×#16192
C101×#15812
C101×#15802
#19755101