Finite Group Databasebeta

← C101×#18076 #38800227

Subgroups — C101×#18076 #38800227

Order 25856.

656 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3171C211yesmaximal, characteristic
2C101×#2969C211yesmaximal, characteristic, complemented
3C101×#2935C211yesmaximal, characteristic, complemented
4C101×#1594C211yesmaximal, characteristic, complemented
5C101×#1590C211yesmaximal, characteristic, complemented
6C101×#1588C211yesmaximal, characteristic, complemented
7C101×#1586C211yesmaximal, characteristic, complemented
8C101×#1582C211yesmaximal, characteristic, complemented
9C101×#1581C211yesmaximal, characteristic, complemented
10C101×SD16⋊C8C211yesmaximal, characteristic, complemented
11C8×D8×C101C211yesmaximal, characteristic, complemented
12C101×#1565C211yesmaximal, characteristic, complemented
13C101×#1484C211yesmaximal, characteristic, complemented
14C101×#1483C211yesmaximal, characteristic, complemented
15C101×#1455C211yesmaximal, characteristic, complemented
16C2×#131×C101—21no—
17#532×C101C2211yescharacteristic
18#529×C101C2211yescharacteristic
19#501×C101C411yescharacteristic
20#496×C101C411yescharacteristic
21#490×C101C411yescharacteristic
22#489×C101C411yescharacteristic
23#469×C101C411yescharacteristic
24#469×C101C411yescharacteristic
25#468×C101C411yescharacteristic
26#468×C101C411yescharacteristic
27#446×C101C2211yescharacteristic
28C8×Q8×C101C2211yescharacteristic
29C4×SD16×C101C2211yescharacteristic
30C4×SD16×C101C2211yescharacteristic
31C4×D8×C101C2211yescharacteristic
32C4×D8×C101C2211yescharacteristic
33#436×C101—21no—
34#436×C101C2211yescharacteristic
35#436×C101C2211yescharacteristic
36#436×C101C2211yescharacteristic
37#435×C101—21no—
38#435×C101—21no—
39#435×C101—21no—
40C8×D4×C101C2211yescharacteristic
41C8×D4×C101C2211yescharacteristic
42C8×D4×C101C2211yescharacteristic
43#433×C101—21no—
44#431×C101C2211yescharacteristic
45C2×C4⋊C8×C101C2211yescharacteristic
46#408×C101—21no—
47#405×C101—21no—
48C4×M16×C101C2211yescharacteristic
49C4×M16×C101C2211yescharacteristic
50C4×M16×C101C2211yescharacteristic
51#335×C101C2211yescharacteristic
52#335×C101C2211yescharacteristic
53#334×C101C2211yescharacteristic
54#334×C101C2211yescharacteristic
55Q8⋊C8×C101C2211yescharacteristic
56Q8⋊C8×C101C2211yescharacteristic
57D4⋊C8×C101C2211yescharacteristic
58D4⋊C8×C101C2211yescharacteristic
59D4⋊C8×C101C2211yescharacteristic
60D4⋊C8×C101C2211yescharacteristic
61D4⋊C8×C101C2211yescharacteristic
62D4⋊C8×C101C2211yescharacteristic
63#322×C101C2211yescharacteristic
64#322×C101C2211yescharacteristic
65#322×C101C2211yescharacteristic
66C82×C101C2211yescharacteristic
67C2×#41×C101—21no—
68C2×SD16×C101C2×C411yescharacteristic
69C2×SD16×C101C2×C411yescharacteristic
70C2×D8×C101C2×C411yescharacteristic
71C2×D8×C101C2×C411yescharacteristic
72#131×C101—44no—
73C2×M16×C101—21no—
74C2×M16×C101—21no—
75C2×M16×C101—21no—
76C2×M16×C101—21no—
77C2×M16×C101C2×C411yescharacteristic
78C2×M16×C101C2×C411yescharacteristic
79C2×M16×C101D411yescharacteristic
80C2×M16×C101D411yescharacteristic
81C22×C8×C101—21no—
82C22×C8×C101—21no—
83C22×C8×C101—21no—
84C22×C8×C101—21no—
85C4⋊Q8×C101C2×C411yescharacteristic
86#127×C101C2×C411yescharacteristic
87#126×C101—21no—
88#125×C101C2×C411yescharacteristic
89#124×C101—21no—
90#124×C101C2×C411yescharacteristic
91#123×C101—21no—
92C22⋊Q8×C101C2×C411yescharacteristic
93#121×C101—21no—
94#121×C101C2×C411yescharacteristic
95#121×C101C2×C411yescharacteristic
96#121×C101C2×C411yescharacteristic
97C4×Q8×C101C2311yescharacteristic
98C4×D4×C101—21no—
99C4×D4×C101—21no—
100C4×D4×C101C2311yescharacteristic
101C4×D4×C101C2311yescharacteristic
102C4×D4×C101C2311yescharacteristic
103#117×C101—21no—
104C2×C42×C101C2311yescharacteristic
105#107×C101C2×C411yescharacteristic
106#107×C101C2×C411yescharacteristic
107#106×C101C2×C411yescharacteristic
108#106×C101C2×C411yescharacteristic
109C4⋊C8×C101—21no—
110C4⋊C8×C101—21no—
111C4⋊C8×C101—21no—
112C4⋊C8×C101C2311yescharacteristic
113C4⋊C8×C101C2311yescharacteristic
114C4⋊C8×C101C2311yescharacteristic
115C4⋊C8×C101C2311yescharacteristic
116#103×C101C2×C411yescharacteristic
117#103×C101C2×C411yescharacteristic
118#102×C101C2×C411yescharacteristic
119#102×C101C2×C411yescharacteristic
120#102×C101C2×C411yescharacteristic
121#102×C101C2×C411yescharacteristic
122#102×C101C2×C411yescharacteristic
123#102×C101C2×C411yescharacteristic
124C22⋊C8×C101—21no—
125C22⋊C8×C101—21no—
126C22⋊C8×C101—21no—
127C22⋊C8×C101—21no—
128C22⋊C8×C101—21no—
129C22⋊C8×C101—21no—
130C22⋊C8×C101—21no—
131#97×C101—21no—
132#97×C101—21no—
133#97×C101C2×C411yescharacteristic
134#97×C101C2×C411yescharacteristic
135#97×C101D411yescharacteristic
136#97×C101D411yescharacteristic
137C4×C8×C101—21no—
138C4×C8×C101—21no—
139C4×C8×C101C2311yescharacteristic
140C4×C8×C101C2311yescharacteristic
141C4×C8×C101C2311yescharacteristic
142C4×C8×C101C2311yescharacteristic
143C4×C8×C101C2311yescharacteristic
144C4×C8×C101C2311yescharacteristic
145#41×C101—42no—
146#41×C101—42no—
147C2×Q8×C101—21no—
148C2×Q8×C101C22×C411yescharacteristic
149C2×D4×C101—21no—
150C2×D4×C101—21no—
151C2×D4×C101—21no—
152C2×D4×C101—21no—
153C2×D4×C101—21no—
154C2×D4×C101C22×C411yescharacteristic
155C2×D4×C101C22×C411yescharacteristic
156C2×D4×C101C22×C411yescharacteristic
157C22×C4×C101—21no—
158C22×C4×C101—21no—
159C22×C4×C101—21no—
160C22×C4×C101C22×C411yescharacteristic
161C22×C4×C101C2×D411yescharacteristic
162C22×C4×C101#4111yescharacteristic
163SD16×C101—22no—
164SD16×C101—41no—
165D8×C101—22no—
166D8×C101—41no—
167M16×C101—22no—
168M16×C101—22no—
169M16×C101—41no—
170M16×C101—41no—
171M16×C101—42no—
172M16×C101—42no—
173M16×C101—42no—
174M16×C101—42no—
175C2×C8×C101—21no—
176C2×C8×C101—21no—
177C2×C8×C101—21no—
178C2×C8×C101—21no—
179C2×C8×C101—21no—
180C2×C8×C101—21no—
181C2×C8×C101—42no—
182C2×C8×C101—42no—
183C2×C8×C101—42no—
184C2×C8×C101—42no—
185C2×C8×C101C22×C411yescharacteristic
186C2×C8×C101C22×C411yescharacteristic
187C2×C8×C101C22×C411yescharacteristic
188C2×C8×C101C22×C411yescharacteristic
189C2×C8×C101C2×D411yescharacteristic
190C2×C8×C101C2×D411yescharacteristic
191C2×C8×C101C2×D411yescharacteristic
192C2×C8×C101C2×D411yescharacteristic
193C4⋊C4×C101—21no—
194C4⋊C4×C101—21no—
195C4⋊C4×C101—21no—
196C4⋊C4×C101—21no—
197C4⋊C4×C101—21no—
198C4⋊C4×C101C22×C411yescharacteristic
199C4⋊C4×C101C22×C411yescharacteristic
200C4⋊C4×C101C22×C411yescharacteristic
201C4⋊C4×C101C22×C411yescharacteristic
202C22⋊C4×C101—21no—
203C22⋊C4×C101—21no—
204C22⋊C4×C101—21no—
205C22⋊C4×C101—21no—
206C22⋊C4×C101—21no—
207C22⋊C4×C101—21no—
208C22⋊C4×C101—21no—
209C22⋊C4×C101—21no—
210C22⋊C4×C101—21no—
211C42×C101—21no—
212C42×C101C22×C411yescharacteristic
213C42×C101C2×D411yescharacteristic
214C42×C101#4111yescharacteristic
215C42×C101C2411yescharacteristic
216C23×C101—21no—
217C23×C101—21no—
218C23×C101—21no—
219C23×C101C4×D411yescharacteristic
220Q8×C101—21no—
221Q8×C101—21no—
222Q8×C101—42no—
223D4×C101—21no—
224D4×C101—21no—
225D4×C101—21no—
226D4×C101—21no—
227D4×C101—21no—
228D4×C101—21no—
229D4×C101—42no—
230D4×C101—42no—
231D4×C101—42no—
232D4×C101—81no—
233D4×C101—81no—
234C2×C4×C101—21no—
235C2×C4×C101—21no—
236C2×C4×C101—21no—
237C2×C4×C101—21no—
238C2×C4×C101—21no—
239C2×C4×C101—21no—
240C2×C4×C101—21no—
241C2×C4×C101—21no—
242C2×C4×C101—21no—
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×C101C4×D411yescharacteristic
251C2×C4×C101C4×D411yescharacteristic
252C2×C4×C101C4×D411yescharacteristic
253C2×C4×C101C23×C411yescharacteristic
254C2×C4×C101C22×D411yescharacteristic
255C2×C4×C101C2×#4111yescharacteristic
256C8×C101—22no—
257C8×C101—21no—
258C8×C101—21no—
259C8×C101—21no—
260C8×C101—21no—
261C8×C101—21no—
262C8×C101—21no—
263C8×C101—41no—
264C8×C101—41no—
265C8×C101—41no—
266C8×C101—41no—
267C8×C101—41no—
268C8×C101#13112yescomplemented
269C8×C101AGL(1,ℤ/8)12yes—
270C22×C101—21no—
271C22×C101—21no—
272C22×C101—21no—
273C22×C101—41no—
274C22×C101—41no—
275C22×C101—41no—
276C22×C101—41no—
277C22×C101—41no—
278C22×C101—41no—
279C22×C101—41no—
280C22×C101—41no—
281C22×C101—41no—
282C22×C101C2×C4×D411yescharacteristic
283C4×C101—21no—
284C4×C101—21no—
285C4×C101—21no—
286C4×C101—21no—
287C4×C101—41no—
288C4×C101—41no—
289C4×C101—41no—
290C4×C101—41no—
291C4×C101—41no—
292C4×C101C2×#13111yescharacteristic
293C4×C101#56811yescharacteristic
294C4×C101C2×AGL(1,ℤ/8)11yescharacteristic
295C4×C101#57511yescharacteristic
296#18076C10111yesmaximal, characteristic, direct product factor, Sylow
297C2×C101—41no—
298C2×C101—81no—
299C2×C101—81no—
300C2×C101—81no—
301C2×C101#293511yescharacteristic
302C2×C101C4×AGL(1,ℤ/8)11yescharacteristic
303C2×C101#295611yescharacteristic
304#3171C2×C10111yescharacteristic
305#2969C2×C10111yescharacteristic, complemented
306#2935C2×C10111yescharacteristic, complemented
307#1594C2×C10111yescharacteristic, complemented
308#1590C2×C10111yescharacteristic, complemented
309#1588C2×C10111yescharacteristic, complemented
310#1586C2×C10111yescharacteristic, complemented
311#1582C2×C10111yescharacteristic, complemented
312#1581C2×C10111yescharacteristic, complemented
313SD16⋊C8C2×C10111yescharacteristic, complemented
314C8×D8C2×C10111yescharacteristic, complemented
315#1565C2×C10111yescharacteristic, complemented
316#1484C2×C10111yescharacteristic, complemented
317#1483C2×C10111yescharacteristic, complemented
318#1455C2×C10111yescharacteristic, complemented
319C101#1807611yescharacteristic, direct product factor, Sylow
320C2×#131—21no—
321#532C22×C10111yescharacteristic
322#529C22×C10111yescharacteristic
323#501C4×C10111yescharacteristic
324#496C4×C10111yescharacteristic
325#490C4×C10111yescharacteristic
326#489C4×C10111yescharacteristic
327#469C4×C10111yescharacteristic
328#469C4×C10111yescharacteristic
329#468C4×C10111yescharacteristic
330#468C4×C10111yescharacteristic
331#446C22×C10111yescharacteristic
332C8×Q8C22×C10111yescharacteristic
333C4×SD16C22×C10111yescharacteristic
334C4×SD16C22×C10111yescharacteristic
335C4×D8C22×C10111yescharacteristic
336C4×D8C22×C10111yescharacteristic
337#436—21no—
338#436C22×C10111yescharacteristic
339#436C22×C10111yescharacteristic
340#436C22×C10111yescharacteristic
341#435—21no—
342#435—21no—
343#435—21no—
344C8×D4C22×C10111yescharacteristic
345C8×D4C22×C10111yescharacteristic
346C8×D4C22×C10111yescharacteristic
347#433—21no—
348#431C22×C10111yescharacteristic
349C2×C4⋊C8C22×C10111yescharacteristic
350#408—21no—
351#405—21no—
352C4×M16C22×C10111yescharacteristic
353C4×M16C22×C10111yescharacteristic
354C4×M16C22×C10111yescharacteristic
355#335C22×C10111yescharacteristic
356#335C22×C10111yescharacteristic
357#334C22×C10111yescharacteristic
358#334C22×C10111yescharacteristic
359Q8⋊C8C22×C10111yescharacteristic
360Q8⋊C8C22×C10111yescharacteristic
361D4⋊C8C22×C10111yescharacteristic
362D4⋊C8C22×C10111yescharacteristic
363D4⋊C8C22×C10111yescharacteristic
364D4⋊C8C22×C10111yescharacteristic
365D4⋊C8C22×C10111yescharacteristic
366D4⋊C8C22×C10111yescharacteristic
367#322C22×C10111yescharacteristic
368#322C22×C10111yescharacteristic
369#322C22×C10111yescharacteristic
370C82C22×C10111yescharacteristic
371C2×#41—21no—
372C2×SD16C2×C4×C10111yescharacteristic
373C2×SD16C2×C4×C10111yescharacteristic
374C2×D8C2×C4×C10111yescharacteristic
375C2×D8C2×C4×C10111yescharacteristic
376#131—44no—
377C2×M16—21no—
378C2×M16—21no—
379C2×M16—21no—
380C2×M16—21no—
381C2×M16C2×C4×C10111yescharacteristic
382C2×M16C2×C4×C10111yescharacteristic
383C2×M16D4×C10111yescharacteristic
384C2×M16D4×C10111yescharacteristic
385C22×C8—21no—
386C22×C8—21no—
387C22×C8—21no—
388C22×C8—21no—
389C4⋊Q8C2×C4×C10111yescharacteristic
390#127C2×C4×C10111yescharacteristic
391#126—21no—
392#125C2×C4×C10111yescharacteristic
393#124—21no—
394#124C2×C4×C10111yescharacteristic
395#123—21no—
396C22⋊Q8C2×C4×C10111yescharacteristic
397#121—21no—
398#121C2×C4×C10111yescharacteristic
399#121C2×C4×C10111yescharacteristic
400#121C2×C4×C10111yescharacteristic
401C4×Q8C23×C10111yescharacteristic
402C4×D4—21no—
403C4×D4—21no—
404C4×D4C23×C10111yescharacteristic
405C4×D4C23×C10111yescharacteristic
406C4×D4C23×C10111yescharacteristic
407#117—21no—
408C2×C42C23×C10111yescharacteristic
409#107C2×C4×C10111yescharacteristic
410#107C2×C4×C10111yescharacteristic
411#106C2×C4×C10111yescharacteristic
412#106C2×C4×C10111yescharacteristic
413C4⋊C8—21no—
414C4⋊C8—21no—
415C4⋊C8—21no—
416C4⋊C8C23×C10111yescharacteristic
417C4⋊C8C23×C10111yescharacteristic
418C4⋊C8C23×C10111yescharacteristic
419C4⋊C8C23×C10111yescharacteristic
420#103C2×C4×C10111yescharacteristic
421#103C2×C4×C10111yescharacteristic
422#102C2×C4×C10111yescharacteristic
423#102C2×C4×C10111yescharacteristic
424#102C2×C4×C10111yescharacteristic
425#102C2×C4×C10111yescharacteristic
426#102C2×C4×C10111yescharacteristic
427#102C2×C4×C10111yescharacteristic
428C22⋊C8—21no—
429C22⋊C8—21no—
430C22⋊C8—21no—
431C22⋊C8—21no—
432C22⋊C8—21no—
433C22⋊C8—21no—
434C22⋊C8—21no—
435#97—21no—
436#97—21no—
437#97C2×C4×C10111yescharacteristic
438#97C2×C4×C10111yescharacteristic
439#97D4×C10111yescharacteristic
440#97D4×C10111yescharacteristic
441C4×C8—21no—
442C4×C8—21no—
443C4×C8C23×C10111yescharacteristic
444C4×C8C23×C10111yescharacteristic
445C4×C8C23×C10111yescharacteristic
446C4×C8C23×C10111yescharacteristic
447C4×C8C23×C10111yescharacteristic
448C4×C8C23×C10111yescharacteristic
449#41—42no—
450#41—42no—
451C2×Q8—21no—
452C2×Q8C22×C4×C10111yescharacteristic
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4C22×C4×C10111yescharacteristic
459C2×D4C22×C4×C10111yescharacteristic
460C2×D4C22×C4×C10111yescharacteristic
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4C22×C4×C10111yescharacteristic
465C22×C4C2×D4×C10111yescharacteristic
466C22×C4#41×C10111yescharacteristic
467SD16—22no—
468SD16—41no—
469D8—22no—
470D8—41no—
471M16—22no—
472M16—22no—
473M16—41no—
474M16—41no—
475M16—42no—
476M16—42no—
477M16—42no—
478M16—42no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—42no—
486C2×C8—42no—
487C2×C8—42no—
488C2×C8—42no—
489C2×C8C22×C4×C10111yescharacteristic
490C2×C8C22×C4×C10111yescharacteristic
491C2×C8C22×C4×C10111yescharacteristic
492C2×C8C22×C4×C10111yescharacteristic
493C2×C8C2×D4×C10111yescharacteristic
494C2×C8C2×D4×C10111yescharacteristic
495C2×C8C2×D4×C10111yescharacteristic
496C2×C8C2×D4×C10111yescharacteristic
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4C22×C4×C10111yescharacteristic
503C4⋊C4C22×C4×C10111yescharacteristic
504C4⋊C4C22×C4×C10111yescharacteristic
505C4⋊C4C22×C4×C10111yescharacteristic
506C22⋊C4—21no—
507C22⋊C4—21no—
508C22⋊C4—21no—
509C22⋊C4—21no—
510C22⋊C4—21no—
511C22⋊C4—21no—
512C22⋊C4—21no—
513C22⋊C4—21no—
514C22⋊C4—21no—
515C42—21no—
516C42C22×C4×C10111yescharacteristic
517C42C2×D4×C10111yescharacteristic
518C42#41×C10111yescharacteristic
519C42C24×C10111yescharacteristic
520C23—21no—
521C23—21no—
522C23—21no—
523C23C4×D4×C10111yescharacteristic
524Q8—21no—
525Q8—21no—
526Q8—42no—
527D4—21no—
528D4—21no—
529D4—21no—
530D4—21no—
531D4—21no—
532D4—21no—
533D4—42no—
534D4—42no—
535D4—42no—
536D4—81no—
537D4—81no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4C4×D4×C10111yescharacteristic
555C2×C4C4×D4×C10111yescharacteristic
556C2×C4C4×D4×C10111yescharacteristic
557C2×C4C23×C4×C10111yescharacteristic
558C2×C4C22×D4×C10111yescharacteristic
559C2×C4C2×#41×C10111yescharacteristic
560C8—22no—
561C8—21no—
562C8—21no—
563C8—21no—
564C8—21no—
565C8—21no—
566C8—21no—
567C8—41no—
568C8—41no—
569C8—41no—
570C8—41no—
571C8—41no—
572C8#131×C10112yescomplemented
573C8AGL(1,ℤ/8)×C10112yes—
574C22—21no—
575C22—21no—
576C22—21no—
577C22—41no—
578C22—41no—
579C22—41no—
580C22—41no—
581C22—41no—
582C22—41no—
583C22—41no—
584C22—41no—
585C22—41no—
586C22C2×C4×D4×C10111yescharacteristic
587C4—21no—
588C4—21no—
589C4—21no—
590C4—21no—
591C4—41no—
592C4—41no—
593C4—41no—
594C4—41no—
595C4—41no—
596C4C2×#131×C10111yescharacteristic
597C4#568×C10111yescharacteristic
598C4C2×AGL(1,ℤ/8)×C10111yescharacteristic
599C4#575×C10111yescharacteristic
600C2—41no—
601C2—81no—
602C2—81no—
603C2—81no—
604C2C101×#293511yescharacteristic
605C2C4×AGL(1,ℤ/8)×C10111yescharacteristic
606C2C101×#295611yescharacteristic
subgroupG/H
centerC2×C4×C101C22×D4
commutatorC2×C4C23×C4×C101
Frattini, cosocleC42C24×C101
socleC22×C101C2×C4×D4
prime radicalC101×#3171C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C101 ◁ C4×M16×C101 ◁ G

Complements

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

NH ≅ G/Ntype
2. C101×#2969C2semidirect
3. C101×#2935C2semidirect
4. C101×#1594C2semidirect
5. C101×#1590C2semidirect
6. C101×#1588C2semidirect
7. C101×#1586C2semidirect
8. C101×#1582C2semidirect
9. C101×#1581C2semidirect
10. C101×SD16⋊C8C2semidirect
11. C8×D8×C101C2semidirect
12. C101×#1565C2semidirect
13. C101×#1484C2semidirect
14. C101×#1483C2semidirect
15. C101×#1455C2semidirect
268. C8×C101#131semidirect
296. #18076C101direct (N × H)
305. #2969C2×C101semidirect
306. #2935C2×C101semidirect
307. #1594C2×C101semidirect
308. #1590C2×C101semidirect
309. #1588C2×C101semidirect
310. #1586C2×C101semidirect
311. #1582C2×C101semidirect
312. #1581C2×C101semidirect
313. SD16⋊C8C2×C101semidirect
314. C8×D8C2×C101semidirect
315. #1565C2×C101semidirect
316. #1484C2×C101semidirect
317. #1483C2×C101semidirect
318. #1455C2×C101semidirect
319. C101#18076direct (N × H)
572. C8#131×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#31712
C101×#29692
C101×#29352
C101×#15942
C101×#15902
C101×#15882
C101×#15862
C101×#15822
C101×#15812
C101×SD16⋊C82
C8×D8×C1012
C101×#15652
C101×#14842
C101×#14832
C101×#14552
#18076101