Finite Group Databasebeta

← C101×#24262 #38806413

Subgroups — C101×#24262 #38806413

Order 25856.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3496C211yesmaximal, characteristic, complemented
2C2×B(4,𝔽2)×C101C212yesmaximal, complemented
3C101×#2617C212yesmaximal, complemented
4C101×#2321C211yesmaximal, characteristic, complemented
5C101×#2044C212yesmaximal, complemented
6C101×#2021C212yesmaximal, complemented
7C101×#1964C212yesmaximal, complemented
8C101×#1799C211yesmaximal, characteristic, complemented
9C101×#1790C212yesmaximal, complemented
10C2×H(5,𝔽2)×C101C2212yes—
11#547×C101—22no—
12#546×C101—24no—
13D42×C101—22no—
14#537×C101—21no—
15#534×C101—21no—
16#534×C101C2212yes—
17#532×C101—21no—
18C2×#121×C101—21no—
19C2×#121×C101C2212yes—
20C2×#120×C101C2211yescharacteristic
21C2×#120×C101C2214yescomplemented
22C2×C4×D4×C101C2211yescharacteristic
23C22×C22⋊C4×C101C2211yescharacteristic, complemented
24B(4,𝔽2)×C101—28no—
25C2×#99×C101C2212yes—
26C2×#99×C101C2214yescomplemented
27C2×#99×C101C2214yescomplemented
28#397×C101—22no—
29#394×C101—24no—
30#392×C101—22no—
31#390×C101—21no—
32#388×C101—21no—
33#388×C101—21no—
34#386×C101—21no—
35#386×C101C2211yescharacteristic
36#386×C101C2214yescomplemented
37#385×C101C2211yescharacteristic, complemented
38#380×C101C2212yescomplemented
39#379×C101C2211yescharacteristic, complemented
40C4×C22⋊C4×C101C2211yescharacteristic, complemented
41#342×C101C2212yescomplemented
42C25×C101C2311yescharacteristic
43H(5,𝔽2)×C101—24no—
44H(5,𝔽2)×C101—24no—
45H(5,𝔽2)×C101—44no—
46C2×#41×C101—22no—
47C2×#41×C101—24no—
48C22×D4×C101—22no—
49C22×D4×C101—24no—
50C22×D4×C101—21no—
51C22×D4×C101—21no—
52C22×D4×C101—24no—
53C22×D4×C101D412yescomplemented
54C22×D4×C101C2314yes—
55C22×D4×C101C2311yescharacteristic
56C23×C4×C101D411yescharacteristic, complemented
57C23×C4×C101C2311yescharacteristic
58C23×C4×C101C2311yescharacteristic
59C4⋊Q8×C101—21no—
60#127×C101—21no—
61#124×C101—22no—
62#123×C101—24no—
63#123×C101—24no—
64C22⋊Q8×C101—24no—
65#121×C101—22no—
66#121×C101—22no—
67#121×C101—24no—
68#121×C101—22no—
69#121×C101—22no—
70#121×C101—22no—
71#121×C101—22no—
72#121×C101—22no—
73#121×C101—22no—
74#120×C101—24no—
75#120×C101—24no—
76#120×C101—22no—
77#120×C101—28no—
78#120×C101—44no—
79#120×C101D414yescomplemented
80C4×D4×C101—22no—
81C4×D4×C101—22no—
82C4×D4×C101—22no—
83C4×D4×C101—22no—
84C2×C4⋊C4×C101—21no—
85C2×C4⋊C4×C101—22no—
86C2×C4⋊C4×C101—21no—
87C2×C4⋊C4×C101D412yescomplemented
88C2×C4⋊C4×C101D411yescharacteristic, complemented
89C2×C22⋊C4×C101—22no—
90C2×C22⋊C4×C101—21no—
91C2×C22⋊C4×C101—22no—
92C2×C22⋊C4×C101—24no—
93C2×C22⋊C4×C101—21no—
94C2×C22⋊C4×C101—21no—
95C2×C22⋊C4×C101—22no—
96C2×C22⋊C4×C101—21no—
97C2×C22⋊C4×C101—24no—
98C2×C22⋊C4×C101—21no—
99C2×C22⋊C4×C101—21no—
100C2×C22⋊C4×C101D411yescharacteristic, complemented
101C2×C22⋊C4×C101D414yescomplemented
102C2×C22⋊C4×C101C2314yes—
103C2×C22⋊C4×C101C2311yescharacteristic
104C2×C22⋊C4×C101C2311yescharacteristic
105C2×C22⋊C4×C101C2311yescharacteristic
106C2×C42×C101—21no—
107C2×C42×C101D411yescharacteristic, complemented
108#99×C101—24no—
109#99×C101—28no—
110#99×C101—44no—
111#95×C101—22no—
112#95×C101—24no—
113#95×C101—21no—
114#95×C101—21no—
115#95×C101—21no—
116C24×C101—22no—
117C24×C101—21no—
118C24×C101—22no—
119C24×C101—21no—
120C24×C101—22no—
121C24×C101—81no—
122C24×C101—81no—
123C24×C101C2×D414yes—
124C24×C101C2×D411yescharacteristic
125C24×C101C2×D412yescomplemented
126C24×C101C2411yescharacteristic
127#41×C101—48no—
128#41×C101—48no—
129#41×C101—44no—
130#41×C101—44no—
131C2×Q8×C101—22no—
132C2×D4×C101—22no—
133C2×D4×C101—22no—
134C2×D4×C101—24no—
135C2×D4×C101—22no—
136C2×D4×C101—24no—
137C2×D4×C101—24no—
138C2×D4×C101—24no—
139C2×D4×C101—24no—
140C2×D4×C101—24no—
141C2×D4×C101—24no—
142C2×D4×C101—22no—
143C2×D4×C101—22no—
144C2×D4×C101—24no—
145C2×D4×C101—22no—
146C2×D4×C101—22no—
147C2×D4×C101—48no—
148C2×D4×C101—48no—
149C2×D4×C101—44no—
150C2×D4×C101—44no—
151C2×D4×C101—48no—
152C2×D4×C101—82no—
153C2×D4×C101—82no—
154C2×D4×C101—81no—
155C2×D4×C101—81no—
156C2×D4×C101—84no—
157C2×D4×C101—84no—
158C2×D4×C101C2×D412yes—
159C2×D4×C101#4112yes—
160C22×C4×C101—22no—
161C22×C4×C101—24no—
162C22×C4×C101—21no—
163C22×C4×C101—21no—
164C22×C4×C101—21no—
165C22×C4×C101—21no—
166C22×C4×C101—22no—
167C22×C4×C101—21no—
168C22×C4×C101—24no—
169C22×C4×C101—81no—
170C22×C4×C101—81no—
171C22×C4×C101—81no—
172C22×C4×C101C2×D414yes—
173C22×C4×C101C2×D411yescharacteristic
174C22×C4×C101C2×D411yescharacteristic
175C22×C4×C101C2×D411yescharacteristic
176C22×C4×C101C2×D411yescharacteristic
177C22×C4×C101C2×D412yes—
178C22×C4×C101C2×D411yescharacteristic
179C22×C4×C101C2×D412yes—
180C4⋊C4×C101—22no—
181C4⋊C4×C101—22no—
182C4⋊C4×C101—22no—
183C4⋊C4×C101—22no—
184C4⋊C4×C101—22no—
185C4⋊C4×C101—82no—
186C4⋊C4×C101—81no—
187C22⋊C4×C101—24no—
188C22⋊C4×C101—24no—
189C22⋊C4×C101—22no—
190C22⋊C4×C101—21no—
191C22⋊C4×C101—24no—
192C22⋊C4×C101—22no—
193C22⋊C4×C101—24no—
194C22⋊C4×C101—24no—
195C22⋊C4×C101—24no—
196C22⋊C4×C101—22no—
197C22⋊C4×C101—24no—
198C22⋊C4×C101—48no—
199C22⋊C4×C101—41no—
200C22⋊C4×C101—41no—
201C22⋊C4×C101—42no—
202C22⋊C4×C101—81no—
203C22⋊C4×C101—81no—
204C22⋊C4×C101—81no—
205C22⋊C4×C101—84no—
206C22⋊C4×C101C2×D412yescomplemented
207C42×C101—21no—
208C42×C101—21no—
209C42×C101—81no—
210C23×C101—21no—
211C23×C101—21no—
212C23×C101—24no—
213C23×C101—22no—
214C23×C101—24no—
215C23×C101—24no—
216C23×C101—24no—
217C23×C101—41no—
218C23×C101—41no—
219C23×C101—41no—
220C23×C101—41no—
221C23×C101—41no—
222C23×C101—41no—
223C23×C101—41no—
224C23×C101—44no—
225C23×C101—41no—
226C23×C101—44no—
227C23×C101—44no—
228C23×C101—44no—
229C23×C101—44no—
230C23×C101—41no—
231C23×C101—41no—
232C23×C101—42no—
233C23×C101—82no—
234C23×C101—82no—
235C23×C101—84no—
236C23×C101—82no—
237C23×C101—82no—
238C23×C101#12112yes—
239C23×C101C22×D411yescharacteristic
240C23×C101C22×D412yes—
241C23×C101C22×D411yescharacteristic
242C23×C101C2×#4111yescharacteristic
243C23×C101H(5,𝔽2)12yes—
244Q8×C101—44no—
245D4×C101—24no—
246D4×C101—24no—
247D4×C101—44no—
248D4×C101—44no—
249D4×C101—48no—
250D4×C101—44no—
251D4×C101—44no—
252D4×C101—44no—
253D4×C101—44no—
254D4×C101—82no—
255D4×C101—82no—
256D4×C101—84no—
257D4×C101—82no—
258D4×C101—816no—
259C2×C4×C101—21no—
260C2×C4×C101—21no—
261C2×C4×C101—21no—
262C2×C4×C101—21no—
263C2×C4×C101—24no—
264C2×C4×C101—22no—
265C2×C4×C101—24no—
266C2×C4×C101—24no—
267C2×C4×C101—41no—
268C2×C4×C101—42no—
269C2×C4×C101—41no—
270C2×C4×C101—42no—
271C2×C4×C101—42no—
272C2×C4×C101—48no—
273C2×C4×C101—41no—
274C2×C4×C101—41no—
275C2×C4×C101—44no—
276C2×C4×C101—41no—
277C2×C4×C101—41no—
278C2×C4×C101—41no—
279C2×C4×C101—41no—
280C2×C4×C101—41no—
281C2×C4×C101—44no—
282C2×C4×C101—44no—
283C2×C4×C101—41no—
284C2×C4×C101—44no—
285C2×C4×C101—41no—
286C2×C4×C101—41no—
287C2×C4×C101—44no—
288C2×C4×C101—81no—
289C2×C4×C101#12011yescharacteristic
290C2×C4×C101#12011yescharacteristic
291C2×C4×C101#12012yes—
292C2×C4×C101#12112yes—
293C22×C101—21no—
294C22×C101—22no—
295C22×C101—21no—
296C22×C101—22no—
297C22×C101—22no—
298C22×C101—41no—
299C22×C101—41no—
300C22×C101—42no—
301C22×C101—42no—
302C22×C101—42no—
303C22×C101—48no—
304C22×C101—42no—
305C22×C101—41no—
306C22×C101—41no—
307C22×C101—44no—
308C22×C101—42no—
309C22×C101—44no—
310C22×C101—44no—
311C22×C101—81no—
312C22×C101—84no—
313C22×C101—84no—
314C22×C101—81no—
315C22×C101—81no—
316C22×C101—84no—
317C22×C101—81no—
318C22×C101—81no—
319C22×C101—164no—
320C22×C101C2×#12011yescharacteristic
321C22×C101C2×#12111yescharacteristic
322C22×C101#53511yescharacteristic
323C22×C101D4212yes—
324C22×C101#54612yes—
325C4×C101—22no—
326C4×C101—21no—
327C4×C101—21no—
328C4×C101—22no—
329C4×C101—42no—
330C4×C101—44no—
331C4×C101—41no—
332C4×C101—41no—
333C4×C101—81no—
334C4×C101—84no—
335C4×C101—81no—
336#24262C10111yesmaximal, characteristic, direct product factor, Sylow
337C2×C101—21no—
338C2×C101—22no—
339C2×C101—21no—
340C2×C101—22no—
341C2×C101—42no—
342C2×C101—82no—
343C2×C101—84no—
344C2×C101#240811yescharacteristic
345C2×C101#302611yescharacteristic
346C2×C101#302711yescharacteristic
347#3496C2×C10111yescharacteristic, complemented
348C2×B(4,𝔽2)C2×C10112yescomplemented
349#2617C2×C10112yescomplemented
350#2321C2×C10111yescharacteristic, complemented
351#2044C2×C10112yescomplemented
352#2021C2×C10112yescomplemented
353#1964C2×C10112yescomplemented
354#1799C2×C10111yescharacteristic, complemented
355#1790C2×C10112yescomplemented
356C101#2426211yescharacteristic, direct product factor, Sylow
357C2×H(5,𝔽2)C22×C10112yes—
358#547—22no—
359#546—24no—
360D42—22no—
361#537—21no—
362#534—21no—
363#534C22×C10112yes—
364#532—21no—
365C2×#121—21no—
366C2×#121C22×C10112yes—
367C2×#120C22×C10111yescharacteristic
368C2×#120C22×C10114yescomplemented
369C2×C4×D4C22×C10111yescharacteristic
370C22×C22⋊C4C22×C10111yescharacteristic, complemented
371B(4,𝔽2)—28no—
372C2×#99C22×C10112yes—
373C2×#99C22×C10114yescomplemented
374C2×#99C22×C10114yescomplemented
375#397—22no—
376#394—24no—
377#392—22no—
378#390—21no—
379#388—21no—
380#388—21no—
381#386—21no—
382#386C22×C10111yescharacteristic
383#386C22×C10114yescomplemented
384#385C22×C10111yescharacteristic, complemented
385#380C22×C10112yescomplemented
386#379C22×C10111yescharacteristic, complemented
387C4×C22⋊C4C22×C10111yescharacteristic, complemented
388#342C22×C10112yescomplemented
389C25C23×C10111yescharacteristic
390H(5,𝔽2)—24no—
391H(5,𝔽2)—24no—
392H(5,𝔽2)—44no—
393C2×#41—22no—
394C2×#41—24no—
395C22×D4—22no—
396C22×D4—24no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—24no—
400C22×D4D4×C10112yescomplemented
401C22×D4C23×C10114yes—
402C22×D4C23×C10111yescharacteristic
403C23×C4D4×C10111yescharacteristic, complemented
404C23×C4C23×C10111yescharacteristic
405C23×C4C23×C10111yescharacteristic
406C4⋊Q8—21no—
407#127—21no—
408#124—22no—
409#123—24no—
410#123—24no—
411C22⋊Q8—24no—
412#121—22no—
413#121—22no—
414#121—24no—
415#121—22no—
416#121—22no—
417#121—22no—
418#121—22no—
419#121—22no—
420#121—22no—
421#120—24no—
422#120—24no—
423#120—22no—
424#120—28no—
425#120—44no—
426#120D4×C10114yescomplemented
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C10111yescharacteristic, complemented
435C2×C4⋊C4D4×C10112yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4D4×C10111yescharacteristic, complemented
448C2×C22⋊C4D4×C10114yescomplemented
449C2×C22⋊C4C23×C10114yes—
450C2×C22⋊C4C23×C10111yescharacteristic
451C2×C22⋊C4C23×C10111yescharacteristic
452C2×C22⋊C4C23×C10111yescharacteristic
453C2×C42—21no—
454C2×C42D4×C10111yescharacteristic, complemented
455#99—24no—
456#99—28no—
457#99—44no—
458#95—21no—
459#95—22no—
460#95—21no—
461#95—21no—
462#95—24no—
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—81no—
469C24—81no—
470C24C2×D4×C10114yes—
471C24C2×D4×C10111yescharacteristic
472C24C2×D4×C10112yescomplemented
473C24C24×C10111yescharacteristic
474#41—48no—
475#41—48no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—81no—
502C2×D4—81no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4C2×D4×C10112yes—
506C2×D4#41×C10112yes—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4C2×D4×C10114yes—
520C22×C4C2×D4×C10111yescharacteristic
521C22×C4C2×D4×C10111yescharacteristic
522C22×C4C2×D4×C10111yescharacteristic
523C22×C4C2×D4×C10111yescharacteristic
524C22×C4C2×D4×C10112yes—
525C22×C4C2×D4×C10111yescharacteristic
526C22×C4C2×D4×C10112yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—82no—
533C4⋊C4—81no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—22no—
544C22⋊C4—24no—
545C22⋊C4—48no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—84no—
553C22⋊C4C2×D4×C10112yescomplemented
554C42—21no—
555C42—21no—
556C42—81no—
557C23—21no—
558C23—21no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—44no—
572C23—41no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—82no—
581C23—82no—
582C23—84no—
583C23—82no—
584C23—82no—
585C23#121×C10112yes—
586C23C22×D4×C10111yescharacteristic
587C23C22×D4×C10112yes—
588C23C22×D4×C10111yescharacteristic
589C23C2×#41×C10111yescharacteristic
590C23H(5,𝔽2)×C10112yes—
591Q8—44no—
592D4—24no—
593D4—24no—
594D4—44no—
595D4—44no—
596D4—48no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—82no—
602D4—84no—
603D4—82no—
604D4—82no—
605D4—816no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4#120×C10111yescharacteristic
637C2×C4#120×C10111yescharacteristic
638C2×C4#120×C10112yes—
639C2×C4#121×C10112yes—
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×#120×C10111yescharacteristic
668C22C2×#121×C10111yescharacteristic
669C22#535×C10111yescharacteristic
670C22D42×C10112yes—
671C22#546×C10112yes—
672C4—22no—
673C4—21no—
674C4—21no—
675C4—22no—
676C4—42no—
677C4—44no—
678C4—41no—
679C4—41no—
680C4—84no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2C101×#240811yescharacteristic
691C2C101×#302611yescharacteristic
692C2C101×#302711yescharacteristic
subgroupG/H
center, socleC22×C101C2×#120
commutator, Frattini, cosocleC24C24×C101
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C101 ◁ C23×C4×C101 ◁ G

Complements

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

NH ≅ G/Ntype
1. C101×#3496C2semidirect
2. C2×B(4,𝔽2)×C101C2semidirect
3. C101×#2617C2semidirect
4. C101×#2321C2semidirect
5. C101×#2044C2semidirect
6. C101×#2021C2semidirect
7. C101×#1964C2semidirect
8. C101×#1799C2semidirect
9. C101×#1790C2semidirect
21. C2×#120×C101C22semidirect
23. C22×C22⋊C4×C101C22semidirect
26. C2×#99×C101C22semidirect
27. C2×#99×C101C22semidirect
36. #386×C101C22semidirect
37. #385×C101C22semidirect
38. #380×C101C22semidirect
39. #379×C101C22semidirect
40. C4×C22⋊C4×C101C22semidirect
41. #342×C101C22semidirect
53. C22×D4×C101D4semidirect
56. C23×C4×C101D4semidirect
79. #120×C101D4semidirect
87. C2×C4⋊C4×C101D4semidirect
88. C2×C4⋊C4×C101D4semidirect
100. C2×C22⋊C4×C101D4semidirect
101. C2×C22⋊C4×C101D4semidirect
107. C2×C42×C101D4semidirect
125. C24×C101C2×D4semidirect
206. C22⋊C4×C101C2×D4semidirect
336. #24262C101direct (N × H)
347. #3496C2×C101semidirect
348. C2×B(4,𝔽2)C2×C101semidirect
349. #2617C2×C101semidirect
350. #2321C2×C101semidirect
351. #2044C2×C101semidirect
352. #2021C2×C101semidirect
353. #1964C2×C101semidirect
354. #1799C2×C101semidirect
355. #1790C2×C101semidirect
356. C101#24262direct (N × H)
368. C2×#120C22×C101semidirect
370. C22×C22⋊C4C22×C101semidirect
373. C2×#99C22×C101semidirect
374. C2×#99C22×C101semidirect
383. #386C22×C101semidirect
384. #385C22×C101semidirect
385. #380C22×C101semidirect
386. #379C22×C101semidirect
387. C4×C22⋊C4C22×C101semidirect
388. #342C22×C101semidirect
400. C22×D4D4×C101semidirect
403. C23×C4D4×C101semidirect
426. #120D4×C101semidirect
434. C2×C4⋊C4D4×C101semidirect
435. C2×C4⋊C4D4×C101semidirect
447. C2×C22⋊C4D4×C101semidirect
448. C2×C22⋊C4D4×C101semidirect
454. C2×C42D4×C101semidirect
472. C24C2×D4×C101semidirect
553. C22⋊C4C2×D4×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#34962
C2×B(4,𝔽2)×C1012
C101×#26172
C101×#23212
C101×#20442
C101×#20212
C101×#19642
C101×#17992
C101×#17902
#24262101