Finite Group Databasebeta

← C101×#18450 #38800601

Subgroups — C101×#18450 #38800601

Order 25856.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3537C211yesmaximal, characteristic, complemented
2C101×#3194C211yesmaximal, characteristic, complemented
3C101×#3186C211yesmaximal, characteristic, complemented
4C101×#2815C211yesmaximal, characteristic, complemented
5C101×#1612C212yesmaximal, complemented
6C101×#1607C212yesmaximal, complemented
7C101×#1600C212yesmaximal, complemented
8C101×#1595C212yesmaximal, complemented
9C101×#1516C211yesmaximal, characteristic, complemented
10C101×#1510C211yesmaximal, characteristic, complemented
11C101×#1471C211yesmaximal, characteristic, complemented
12#560×C101—22no—
13#553×C101—21no—
14#553×C101—21no—
15D42×C101—22no—
16D42×C101—21no—
17D42×C101—21no—
18#540×C101—21no—
19#538×C101—21no—
20#538×C101C2212yes—
21#535×C101—21no—
22#534×C101—21no—
23#534×C101C2212yes—
24#525×C101C2211yescharacteristic
25C2×#121×C101C2211yescharacteristic
26C2×#121×C101C2211yescharacteristic
27C2×#121×C101C2211yescharacteristic, complemented
28#483×C101C2211yescharacteristic, complemented
29#482×C101—21no—
30#480×C101—21no—
31#480×C101C2212yescomplemented
32#480×C101C2211yescharacteristic, complemented
33#469×C101—21no—
34#468×C101—21no—
35#466×C101—22no—
36#450×C101C2211yescharacteristic, complemented
37#449×C101—21no—
38#447×C101—21no—
39#447×C101C2212yescomplemented
40#447×C101C2211yescharacteristic, complemented
41#407×C101C2211yescharacteristic, complemented
42C2×C22⋊C8×C101C2211yescharacteristic, complemented
43#397×C101—21no—
44#397×C101C2212yescomplemented
45#392×C101—22no—
46#392×C101—21no—
47#392×C101C2212yescomplemented
48#381×C101C2211yescharacteristic, complemented
49#328×C101C2212yescomplemented
50#327×C101C2212yescomplemented
51#327×C101C2212yescomplemented
52#327×C101C2212yescomplemented
53#323×C101C2212yescomplemented
54#323×C101C2212yescomplemented
55C2×#41×C101D411yescharacteristic, complemented
56C22×D4×C101—22no—
57C22×D4×C101—21no—
58C22×D4×C101—21no—
59C22×D4×C101—22no—
60C22×D4×C101—21no—
61C22×D4×C101—22no—
62C22×D4×C101D412yes—
63C22×D4×C101D411yescharacteristic
64C22×D4×C101D411yescharacteristic, complemented
65C22×D4×C101C2311yescharacteristic
66C23×C4×C101C2311yescharacteristic
67C2×SD16×C101—21no—
68C2×D8×C101—22no—
69C2×D8×C101—21no—
70C2×M16×C101—21no—
71C22×C8×C101—21no—
72#127×C101—22no—
73#127×C101—21no—
74#126×C101—22no—
75#126×C101—22no—
76#125×C101—21no—
77#124×C101—22no—
78#123×C101—22no—
79#123×C101—21no—
80#123×C101—22no—
81#123×C101—22no—
82#123×C101—22no—
83C22⋊Q8×C101D411yescharacteristic, complemented
84C22⋊Q8×C101C2311yescharacteristic
85#121×C101—22no—
86#121×C101—21no—
87#121×C101—21no—
88#121×C101—22no—
89#121×C101—22no—
90#121×C101—22no—
91#121×C101—22no—
92#121×C101—21no—
93#121×C101—21no—
94#121×C101—21no—
95#121×C101—21no—
96#121×C101—21no—
97#121×C101—21no—
98#121×C101—22no—
99#121×C101—21no—
100#121×C101—21no—
101#121×C101—21no—
102#121×C101—21no—
103#121×C101D412yescomplemented
104#121×C101D411yescharacteristic, complemented
105#121×C101C2312yes—
106#121×C101C2311yescharacteristic
107#120×C101—22no—
108#120×C101—22no—
109#120×C101—22no—
110#120×C101—21no—
111#120×C101—22no—
112#120×C101—22no—
113#120×C101—22no—
114C4×D4×C101—22no—
115C4×D4×C101—21no—
116C4×D4×C101—21no—
117C4×D4×C101—21no—
118C4×D4×C101—21no—
119C4×D4×C101—22no—
120#117×C101—21no—
121#117×C101D411yescharacteristic, complemented
122C2×C4⋊C4×C101D411yescharacteristic
123C2×C4⋊C4×C101D411yescharacteristic, complemented
124C2×C4⋊C4×C101C2311yescharacteristic
125C2×C22⋊C4×C101—21no—
126C2×C22⋊C4×C101—21no—
127C2×C22⋊C4×C101—22no—
128C2×C22⋊C4×C101—21no—
129C2×C22⋊C4×C101—22no—
130C2×C22⋊C4×C101C2312yes—
131#107×C101—22no—
132#107×C101—21no—
133#106×C101—21no—
134#103×C101—21no—
135#102×C101—22no—
136#102×C101—21no—
137#102×C101—22no—
138#102×C101—21no—
139#102×C101—21no—
140C22⋊C8×C101—21no—
141C22⋊C8×C101—21no—
142C22⋊C8×C101C2312yes—
143C22⋊C8×C101C2311yescharacteristic
144C22⋊C8×C101C2311yescharacteristic
145#95×C101—22no—
146#95×C101—21no—
147#95×C101C2312yes—
148C24×C101—22no—
149C24×C101—21no—
150C24×C101—21no—
151C24×C101C2×D412yes—
152C24×C101C2×D411yescharacteristic
153#41×C101—81no—
154C2×Q8×C101C2×D411yescharacteristic
155C2×D4×C101—22no—
156C2×D4×C101—21no—
157C2×D4×C101—21no—
158C2×D4×C101—22no—
159C2×D4×C101—22no—
160C2×D4×C101—22no—
161C2×D4×C101—22no—
162C2×D4×C101—22no—
163C2×D4×C101—22no—
164C2×D4×C101—21no—
165C2×D4×C101—22no—
166C2×D4×C101—22no—
167C2×D4×C101—21no—
168C2×D4×C101—21no—
169C2×D4×C101—21no—
170C2×D4×C101—21no—
171C2×D4×C101—21no—
172C2×D4×C101—41no—
173C2×D4×C101—41no—
174C2×D4×C101—81no—
175C2×D4×C101—81no—
176C2×D4×C101—82no—
177C2×D4×C101—81no—
178C2×D4×C101—82no—
179C2×D4×C101—82no—
180C2×D4×C101—82no—
181C2×D4×C101—82no—
182C2×D4×C101—82no—
183C2×D4×C101—82no—
184C2×D4×C101—82no—
185C2×D4×C101—82no—
186C2×D4×C101—84no—
187C2×D4×C101C2×D411yescharacteristic
188C2×D4×C101C2×D412yes—
189C22×C4×C101—22no—
190C22×C4×C101—22no—
191C22×C4×C101—21no—
192C22×C4×C101—21no—
193C22×C4×C101—22no—
194C22×C4×C101—21no—
195C22×C4×C101—81no—
196C22×C4×C101C2×D412yes—
197C22×C4×C101C2×D411yescharacteristic
198C22×C4×C101C2×D411yescharacteristic
199C22×C4×C101C2×D411yescharacteristic
200C22×C4×C101C2×D411yescharacteristic
201C22×C4×C101C2×D411yescharacteristic
202C22×C4×C101C2411yescharacteristic
203SD16×C101—81no—
204D8×C101—82no—
205D8×C101—81no—
206M16×C101—81no—
207C2×C8×C101—22no—
208C2×C8×C101—21no—
209C2×C8×C101—21no—
210C2×C8×C101—81no—
211C4⋊C4×C101—22no—
212C4⋊C4×C101—22no—
213C4⋊C4×C101—21no—
214C4⋊C4×C101—21no—
215C4⋊C4×C101—21no—
216C4⋊C4×C101—21no—
217C4⋊C4×C101—21no—
218C4⋊C4×C101—21no—
219C4⋊C4×C101—21no—
220C4⋊C4×C101C2×D411yescharacteristic
221C4⋊C4×C101C2×D412yes—
222C4⋊C4×C101C2×D411yescharacteristic
223C22⋊C4×C101—22no—
224C22⋊C4×C101—22no—
225C22⋊C4×C101—22no—
226C22⋊C4×C101—22no—
227C22⋊C4×C101—22no—
228C22⋊C4×C101—21no—
229C22⋊C4×C101—21no—
230C22⋊C4×C101—21no—
231C22⋊C4×C101—22no—
232C22⋊C4×C101—21no—
233C22⋊C4×C101—22no—
234C22⋊C4×C101—22no—
235C22⋊C4×C101—22no—
236C22⋊C4×C101—21no—
237C22⋊C4×C101—41no—
238C22⋊C4×C101—41no—
239C22⋊C4×C101—82no—
240C22⋊C4×C101—82no—
241C22⋊C4×C101—81no—
242C42×C101—22no—
243C42×C101—21no—
244C23×C101—22no—
245C23×C101—22no—
246C23×C101—22no—
247C23×C101—21no—
248C23×C101—22no—
249C23×C101—22no—
250C23×C101—41no—
251C23×C101—41no—
252C23×C101—42no—
253C23×C101—42no—
254C23×C101—42no—
255C23×C101—41no—
256C23×C101—41no—
257C23×C101—42no—
258C23×C101—41no—
259C23×C101—42no—
260C23×C101—81no—
261C23×C101—81no—
262C23×C101—82no—
263C23×C101—82no—
264C23×C101—82no—
265C23×C101#12011yescharacteristic
266C23×C101#12011yescharacteristic
267C23×C101C22×D411yescharacteristic
268Q8×C101—41no—
269D4×C101—42no—
270D4×C101—41no—
271D4×C101—42no—
272D4×C101—42no—
273D4×C101—42no—
274D4×C101—41no—
275D4×C101—41no—
276D4×C101—44no—
277D4×C101—42no—
278D4×C101—42no—
279D4×C101—42no—
280D4×C101—42no—
281D4×C101—81no—
282D4×C101—82no—
283D4×C101—82no—
284D4×C101—81no—
285D4×C101—82no—
286D4×C101—82no—
287D4×C101—82no—
288D4×C101—82no—
289D4×C101—82no—
290D4×C101—82no—
291D4×C101—82no—
292D4×C101—88no—
293C2×C4×C101—21no—
294C2×C4×C101—22no—
295C2×C4×C101—22no—
296C2×C4×C101—21no—
297C2×C4×C101—21no—
298C2×C4×C101—41no—
299C2×C4×C101—41no—
300C2×C4×C101—41no—
301C2×C4×C101—41no—
302C2×C4×C101—41no—
303C2×C4×C101—41no—
304C2×C4×C101—42no—
305C2×C4×C101—42no—
306C2×C4×C101—42no—
307C2×C4×C101—42no—
308C2×C4×C101—41no—
309C2×C4×C101—42no—
310C2×C4×C101—42no—
311C2×C4×C101—81no—
312C2×C4×C101—82no—
313C2×C4×C101—82no—
314C2×C4×C101#12011yescharacteristic
315C2×C4×C101#12011yescharacteristic
316C2×C4×C101C22×D411yescharacteristic
317C2×C4×C101C22×D411yescharacteristic
318C8×C101—42no—
319C8×C101—41no—
320C8×C101—41no—
321C22×C101—21no—
322C22×C101—21no—
323C22×C101—21no—
324C22×C101—21no—
325C22×C101—21no—
326C22×C101—21no—
327C22×C101—21no—
328C22×C101—21no—
329C22×C101—42no—
330C22×C101—42no—
331C22×C101—41no—
332C22×C101—42no—
333C22×C101—42no—
334C22×C101—41no—
335C22×C101—41no—
336C22×C101—42no—
337C22×C101—42no—
338C22×C101—82no—
339C22×C101—82no—
340C22×C101—82no—
341C22×C101—82no—
342C22×C101—82no—
343C22×C101—81no—
344C22×C101—81no—
345C22×C101—81no—
346C22×C101—162no—
347C22×C101—164no—
348C22×C101C2×#12011yescharacteristic
349C22×C101#57612yes—
350C4×C101—21no—
351C4×C101—21no—
352C4×C101—21no—
353C4×C101—21no—
354C4×C101—42no—
355C4×C101—41no—
356C4×C101—42no—
357C4×C101—41no—
358C4×C101—41no—
359C4×C101—82no—
360C4×C101—81no—
361#18450C10111yesmaximal, characteristic, direct product factor, Sylow
362C2×C101—22no—
363C2×C101—41no—
364C2×C101—41no—
365C2×C101—82no—
366C2×C101—82no—
367C2×C101—81no—
368C2×C101—161no—
369C2×C101#300811yescharacteristic
370C2×C101#301911yescharacteristic
371C2×C101#302611yescharacteristic
372#3537C2×C10111yescharacteristic, complemented
373#3194C2×C10111yescharacteristic, complemented
374#3186C2×C10111yescharacteristic, complemented
375#2815C2×C10111yescharacteristic, complemented
376#1612C2×C10112yescomplemented
377#1607C2×C10112yescomplemented
378#1600C2×C10112yescomplemented
379#1595C2×C10112yescomplemented
380#1516C2×C10111yescharacteristic, complemented
381#1510C2×C10111yescharacteristic, complemented
382#1471C2×C10111yescharacteristic, complemented
383C101#1845011yescharacteristic, direct product factor, Sylow
384#560—22no—
385#553—21no—
386#553—21no—
387D42—22no—
388D42—21no—
389D42—21no—
390#540—21no—
391#538—21no—
392#538C22×C10112yes—
393#535—21no—
394#534—21no—
395#534C22×C10112yes—
396#525C22×C10111yescharacteristic
397C2×#121C22×C10111yescharacteristic
398C2×#121C22×C10111yescharacteristic
399C2×#121C22×C10111yescharacteristic, complemented
400#483C22×C10111yescharacteristic, complemented
401#482—21no—
402#480—21no—
403#480C22×C10111yescharacteristic, complemented
404#480C22×C10112yescomplemented
405#469—21no—
406#468—21no—
407#466—22no—
408#450C22×C10111yescharacteristic, complemented
409#449—21no—
410#447—21no—
411#447C22×C10111yescharacteristic, complemented
412#447C22×C10112yescomplemented
413#407C22×C10111yescharacteristic, complemented
414C2×C22⋊C8C22×C10111yescharacteristic, complemented
415#397—21no—
416#397C22×C10112yescomplemented
417#392—21no—
418#392—22no—
419#392C22×C10112yescomplemented
420#381C22×C10111yescharacteristic, complemented
421#328C22×C10112yescomplemented
422#327C22×C10112yescomplemented
423#327C22×C10112yescomplemented
424#327C22×C10112yescomplemented
425#323C22×C10112yescomplemented
426#323C22×C10112yescomplemented
427C2×#41D4×C10111yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C10112yes—
435C22×D4D4×C10111yescharacteristic
436C22×D4D4×C10111yescharacteristic, complemented
437C22×D4C23×C10111yescharacteristic
438C23×C4C23×C10111yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C10111yescharacteristic, complemented
456C22⋊Q8C23×C10111yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121D4×C10112yescomplemented
476#121D4×C10111yescharacteristic, complemented
477#121C23×C10112yes—
478#121C23×C10111yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117D4×C10111yescharacteristic, complemented
494C2×C4⋊C4D4×C10111yescharacteristic
495C2×C4⋊C4D4×C10111yescharacteristic, complemented
496C2×C4⋊C4C23×C10111yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C10112yes—
503#107—22no—
504#107—21no—
505#106—21no—
506#103—21no—
507#102—22no—
508#102—21no—
509#102—22no—
510#102—21no—
511#102—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8C23×C10111yescharacteristic
515C22⋊C8C23×C10111yescharacteristic
516C22⋊C8C23×C10112yes—
517#95—21no—
518#95—22no—
519#95C23×C10112yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C10112yes—
524C24C2×D4×C10111yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C10111yescharacteristic
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4—81no—
547C2×D4—81no—
548C2×D4—82no—
549C2×D4—81no—
550C2×D4—82no—
551C2×D4—82no—
552C2×D4—82no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—82no—
557C2×D4—82no—
558C2×D4—84no—
559C2×D4C2×D4×C10111yescharacteristic
560C2×D4C2×D4×C10112yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C10112yes—
569C22×C4C2×D4×C10111yescharacteristic
570C22×C4C2×D4×C10111yescharacteristic
571C22×C4C2×D4×C10111yescharacteristic
572C22×C4C2×D4×C10111yescharacteristic
573C22×C4C2×D4×C10111yescharacteristic
574C22×C4C24×C10111yescharacteristic
575SD16—81no—
576D8—82no—
577D8—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—81no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4C2×D4×C10111yescharacteristic
593C4⋊C4C2×D4×C10112yes—
594C4⋊C4C2×D4×C10111yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C22⋊C4—41no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—81no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—41no—
631C23—42no—
632C23—81no—
633C23—81no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23#120×C10111yescharacteristic
638C23#120×C10111yescharacteristic
639C23C22×D4×C10111yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—41no—
647D4—41no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—81no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—82no—
661D4—82no—
662D4—82no—
663D4—82no—
664D4—88no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4#120×C10111yescharacteristic
687C2×C4#120×C10111yescharacteristic
688C2×C4C22×D4×C10111yescharacteristic
689C2×C4C22×D4×C10111yescharacteristic
690C8—42no—
691C8—41no—
692C8—41no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—42no—
709C22—42no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—162no—
719C22—164no—
720C22C2×#120×C10111yescharacteristic
721C22#576×C10112yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—82no—
732C4—81no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—81no—
739C2—161no—
740C2C101×#300811yescharacteristic
741C2C101×#301911yescharacteristic
742C2C101×#302611yescharacteristic
subgroupG/H
center, socleC22×C101C2×#120
commutator, Frattini, cosocleC22×C4C24×C101
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C101 ◁ C23×C4×C101 ◁ G

Complements

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

NH ≅ G/Ntype
1. C101×#3537C2semidirect
2. C101×#3194C2semidirect
3. C101×#3186C2semidirect
4. C101×#2815C2semidirect
5. C101×#1612C2semidirect
6. C101×#1607C2semidirect
7. C101×#1600C2semidirect
8. C101×#1595C2semidirect
9. C101×#1516C2semidirect
10. C101×#1510C2semidirect
11. C101×#1471C2semidirect
27. C2×#121×C101C22semidirect
28. #483×C101C22semidirect
31. #480×C101C22semidirect
32. #480×C101C22semidirect
36. #450×C101C22semidirect
39. #447×C101C22semidirect
40. #447×C101C22semidirect
41. #407×C101C22semidirect
42. C2×C22⋊C8×C101C22semidirect
44. #397×C101C22semidirect
47. #392×C101C22semidirect
48. #381×C101C22semidirect
49. #328×C101C22semidirect
50. #327×C101C22semidirect
51. #327×C101C22semidirect
52. #327×C101C22semidirect
53. #323×C101C22semidirect
54. #323×C101C22semidirect
55. C2×#41×C101D4semidirect
64. C22×D4×C101D4semidirect
83. C22⋊Q8×C101D4semidirect
103. #121×C101D4semidirect
104. #121×C101D4semidirect
121. #117×C101D4semidirect
123. C2×C4⋊C4×C101D4semidirect
361. #18450C101direct (N × H)
372. #3537C2×C101semidirect
373. #3194C2×C101semidirect
374. #3186C2×C101semidirect
375. #2815C2×C101semidirect
376. #1612C2×C101semidirect
377. #1607C2×C101semidirect
378. #1600C2×C101semidirect
379. #1595C2×C101semidirect
380. #1516C2×C101semidirect
381. #1510C2×C101semidirect
382. #1471C2×C101semidirect
383. C101#18450direct (N × H)
399. C2×#121C22×C101semidirect
400. #483C22×C101semidirect
403. #480C22×C101semidirect
404. #480C22×C101semidirect
408. #450C22×C101semidirect
411. #447C22×C101semidirect
412. #447C22×C101semidirect
413. #407C22×C101semidirect
414. C2×C22⋊C8C22×C101semidirect
416. #397C22×C101semidirect
419. #392C22×C101semidirect
420. #381C22×C101semidirect
421. #328C22×C101semidirect
422. #327C22×C101semidirect
423. #327C22×C101semidirect
424. #327C22×C101semidirect
425. #323C22×C101semidirect
426. #323C22×C101semidirect
427. C2×#41D4×C101semidirect
436. C22×D4D4×C101semidirect
455. C22⋊Q8D4×C101semidirect
475. #121D4×C101semidirect
476. #121D4×C101semidirect
493. #117D4×C101semidirect
495. C2×C4⋊C4D4×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#35372
C101×#31942
C101×#31862
C101×#28152
C101×#16122
C101×#16072
C101×#16002
C101×#15952
C101×#15162
C101×#15102
C101×#14712
#18450101