Finite Group Databasebeta

← C101×#25199 #38807350

Subgroups — C101×#25199 #38807350

Order 25856.

990 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3069C211yesmaximal, characteristic, complemented
2C101×#3069C211yesmaximal, characteristic, complemented
3C101×#3019C211yesmaximal, characteristic
4C2×#455×C101C211yesmaximal, characteristic, complemented
5C101×#2956C211yesmaximal, characteristic, complemented
6C101×#2888C211yesmaximal, characteristic, complemented
7C101×#2069C211yesmaximal, characteristic, complemented
8C101×#2050C211yesmaximal, characteristic, complemented
9C101×#2049C211yesmaximal, characteristic, complemented
10C101×#2004C211yesmaximal, characteristic, complemented
11C101×#1967C211yesmaximal, characteristic, complemented
12C101×#1932C211yesmaximal, characteristic, complemented
13C101×#1914C211yesmaximal, characteristic, complemented
14C101×#1902C211yesmaximal, characteristic, complemented
15C101×#1861C211yesmaximal, characteristic, complemented
16C2×H(5,𝔽2)×C101C2211yescharacteristic
17#575×C101C2211yescharacteristic
18#575×C101C2211yescharacteristic
19C2×#137×C101C2211yescharacteristic
20C2×#137×C101C2211yescharacteristic
21C2×#137×C101C2211yescharacteristic, complemented
22#568×C101C2211yescharacteristic
23#568×C101C2211yescharacteristic
24#568×C101C2211yescharacteristic, complemented
25#535×C101C2211yescharacteristic
26C2×#124×C101C2211yescharacteristic
27#473×C101—22no—
28#473×C101—22no—
29#471×C101—22no—
30#471×C101—22no—
31#455×C101—22no—
32#455×C101—22no—
33#455×C101—22no—
34#453×C101—22no—
35#444×C101—22no—
36#443×C101—22no—
37#430×C101C2211yescharacteristic, complemented
38#430×C101C2211yescharacteristic, complemented
39#430×C101C2211yescharacteristic, complemented
40#423×C101C2211yescharacteristic, complemented
41#421×C101C2211yescharacteristic
42#421×C101C2211yescharacteristic
43C2×#104×C101C2211yescharacteristic
44C2×#104×C101C2211yescharacteristic
45C2×#104×C101C2211yescharacteristic, complemented
46#419×C101C2211yescharacteristic, complemented
47#413×C101—22no—
48#413×C101C2211yescharacteristic
49#413×C101C2211yescharacteristic
50#413×C101C2211yescharacteristic, complemented
51C2×#101×C101C2211yescharacteristic, complemented
52C2×#101×C101C2211yescharacteristic, complemented
53C2×#100×C101—22no—
54C2×#100×C101C2211yescharacteristic
55C2×#100×C101C2211yescharacteristic
56C2×#100×C101C2211yescharacteristic
57C2×#100×C101C2211yescharacteristic
58C4×M16×C101C2211yescharacteristic, complemented
59#344×C101C2211yescharacteristic, complemented
60#344×C101C2211yescharacteristic, complemented
61#339×C101C2211yescharacteristic, complemented
62#338×C101C2211yescharacteristic, complemented
63H(5,𝔽2)×C101—22no—
64H(5,𝔽2)×C101—22no—
65H(5,𝔽2)×C101—41no—
66H(5,𝔽2)×C101—41no—
67C2×#41×C101—21no—
68C2×#41×C101—21no—
69C2×#41×C101C2311yescharacteristic
70C2×#41×C101C2311yescharacteristic
71C2×#41×C101C2311yescharacteristic
72C22×Q8×C101C2311yescharacteristic
73C22×D4×C101—22no—
74C22×D4×C101—21no—
75C22×D4×C101—21no—
76C22×D4×C101C2311yescharacteristic
77#137×C101—21no—
78#137×C101—22no—
79#137×C101—22no—
80#137×C101—21no—
81#137×C101—21no—
82#137×C101—22no—
83#137×C101—22no—
84#137×C101—41no—
85#137×C101—41no—
86#137×C101D412yes—
87AGL(1,ℤ/8)×C101—21no—
88AGL(1,ℤ/8)×C101—21no—
89AGL(1,ℤ/8)×C101—21no—
90AGL(1,ℤ/8)×C101D412yes—
91#135×C101—22no—
92#135×C101—41no—
93C2×Q16×C101—21no—
94C2×Q16×C101—21no—
95C2×Q16×C101—21no—
96C2×SD16×C101—21no—
97C2×SD16×C101—21no—
98C2×SD16×C101—21no—
99#131×C101—22no—
100#131×C101—22no—
101#131×C101—22no—
102#131×C101—22no—
103#131×C101—41no—
104#131×C101—41no—
105C2×M16×C101—22no—
106C2×M16×C101—22no—
107C2×M16×C101—41no—
108C2×M16×C101C2311yescharacteristic
109C2×M16×C101C2311yescharacteristic
110C2×M16×C101C2311yescharacteristic
111C2×M16×C101C2311yescharacteristic
112C2×M16×C101C2311yescharacteristic
113C2×M16×C101C2311yescharacteristic
114C2×M16×C101C2311yescharacteristic
115C2×M16×C101C2311yescharacteristic
116#127×C101—21no—
117#124×C101—21no—
118#124×C101—21no—
119#124×C101—21no—
120#124×C101—41no—
121#121×C101—41no—
122#120×C101—22no—
123#117×C101C2311yescharacteristic
124C2×C22⋊C4×C101—22no—
125C2×C42×C101C2311yescharacteristic
126#108×C101—22no—
127#108×C101—22no—
128#108×C101—22no—
129C4⋊C8×C101—41no—
130#104×C101—22no—
131#104×C101—22no—
132#104×C101—21no—
133#104×C101—21no—
134#104×C101—21no—
135#104×C101—21no—
136#104×C101D412yescomplemented
137#104×C101D412yescomplemented
138#103×C101—41no—
139#101×C101—21no—
140#101×C101—21no—
141#101×C101—22no—
142#101×C101—22no—
143#101×C101D412yescomplemented
144#100×C101—21no—
145#100×C101—21no—
146#100×C101—22no—
147#100×C101—22no—
148#100×C101—22no—
149#100×C101—22no—
150#100×C101D412yescomplemented
151#97×C101—21no—
152C4×C8×C101—21no—
153C24×C101—22no—
154C24×C101#4112yes—
155#41×C101—21no—
156#41×C101—21no—
157#41×C101—21no—
158#41×C101—21no—
159#41×C101—21no—
160#41×C101—21no—
161#41×C101—21no—
162#41×C101—21no—
163#41×C101—21no—
164#41×C101—21no—
165#41×C101—42no—
166#41×C101—42no—
167#41×C101—42no—
168#41×C101—42no—
169#41×C101C2×D412yes—
170#41×C101C2×D412yes—
171C2×Q8×C101—21no—
172C2×Q8×C101—21no—
173C2×Q8×C101—21no—
174C2×Q8×C101—21no—
175C2×Q8×C101—21no—
176C2×Q8×C101—21no—
177C2×Q8×C101C2×D411yescharacteristic
178C2×Q8×C101C2×D411yescharacteristic
179C2×Q8×C101#4111yescharacteristic
180C2×D4×C101—21no—
181C2×D4×C101—22no—
182C2×D4×C101—22no—
183C2×D4×C101—21no—
184C2×D4×C101—21no—
185C2×D4×C101—21no—
186C2×D4×C101—21no—
187C2×D4×C101—21no—
188C2×D4×C101—21no—
189C2×D4×C101—21no—
190C2×D4×C101—21no—
191C2×D4×C101—42no—
192C2×D4×C101—42no—
193C2×D4×C101—44no—
194C2×D4×C101—44no—
195C2×D4×C101—42no—
196C2×D4×C101—42no—
197C2×D4×C101—42no—
198C2×D4×C101C2×D411yescharacteristic
199C2×D4×C101C2×D411yescharacteristic
200C2×D4×C101#4111yescharacteristic
201C22×C4×C101—21no—
202C22×C4×C101—22no—
203C22×C4×C101—21no—
204C22×C4×C101—21no—
205C22×C4×C101—21no—
206C22×C4×C101—21no—
207C22×C4×C101C2411yescharacteristic
208Q16×C101—22no—
209Q16×C101—42no—
210Q16×C101—42no—
211Q16×C101—41no—
212Q16×C101—42no—
213SD16×C101—22no—
214SD16×C101—22no—
215SD16×C101—42no—
216SD16×C101—42no—
217SD16×C101—41no—
218SD16×C101—41no—
219SD16×C101—42no—
220D8×C101—22no—
221D8×C101—41no—
222M16×C101—21no—
223M16×C101—21no—
224M16×C101—21no—
225M16×C101—21no—
226M16×C101—21no—
227M16×C101—21no—
228M16×C101—21no—
229M16×C101—21no—
230M16×C101—21no—
231M16×C101—21no—
232M16×C101—21no—
233M16×C101—21no—
234M16×C101—42no—
235M16×C101—42no—
236M16×C101—42no—
237M16×C101C2×D412yes—
238M16×C101C2×D412yes—
239M16×C101C2×D412yes—
240M16×C101C2×D412yes—
241C2×C8×C101—21no—
242C2×C8×C101—21no—
243C2×C8×C101—21no—
244C2×C8×C101—21no—
245C2×C8×C101—21no—
246C2×C8×C101—21no—
247C2×C8×C101—21no—
248C2×C8×C101—21no—
249C2×C8×C101—42no—
250C2×C8×C101—42no—
251C2×C8×C101—42no—
252C4⋊C4×C101—21no—
253C22⋊C4×C101—21no—
254C22⋊C4×C101—42no—
255C22⋊C4×C101—42no—
256C22⋊C4×C101—42no—
257C42×C101—21no—
258C42×C101—21no—
259C42×C101C2×D411yescharacteristic
260C42×C101C2×D411yescharacteristic
261C23×C101—21no—
262C23×C101—22no—
263C23×C101—21no—
264C23×C101—22no—
265C23×C101—22no—
266C23×C101—21no—
267C23×C101—44no—
268C23×C101—82no—
269C23×C101—162no—
270C23×C101C2×#4111yescharacteristic
271Q8×C101—21no—
272Q8×C101—21no—
273Q8×C101—21no—
274Q8×C101—21no—
275Q8×C101—21no—
276Q8×C101—41no—
277Q8×C101—41no—
278Q8×C101—41no—
279Q8×C101—41no—
280Q8×C101#12112yes—
281D4×C101—22no—
282D4×C101—22no—
283D4×C101—21no—
284D4×C101—21no—
285D4×C101—21no—
286D4×C101—21no—
287D4×C101—21no—
288D4×C101—44no—
289D4×C101—44no—
290D4×C101—41no—
291D4×C101—41no—
292D4×C101—41no—
293D4×C101—41no—
294D4×C101—41no—
295D4×C101—41no—
296D4×C101—41no—
297D4×C101—41no—
298D4×C101—162no—
299D4×C101#12112yes—
300C2×C4×C101—21no—
301C2×C4×C101—22no—
302C2×C4×C101—22no—
303C2×C4×C101—21no—
304C2×C4×C101—21no—
305C2×C4×C101—21no—
306C2×C4×C101—21no—
307C2×C4×C101—44no—
308C2×C4×C101—41no—
309C2×C4×C101—41no—
310C2×C4×C101—41no—
311C2×C4×C101—41no—
312C2×C4×C101—41no—
313C2×C4×C101—41no—
314C2×C4×C101—41no—
315C2×C4×C101—41no—
316C2×C4×C101—81no—
317C2×C4×C101C22×D411yescharacteristic
318C2×C4×C101C22×D411yescharacteristic
319C2×C4×C101C22×D411yescharacteristic
320C2×C4×C101C2×#4111yescharacteristic
321C2×C4×C101H(5,𝔽2)11yescharacteristic
322C2×C4×C101H(5,𝔽2)11yescharacteristic
323C8×C101—22no—
324C8×C101—22no—
325C8×C101—22no—
326C8×C101—22no—
327C8×C101—41no—
328C8×C101—41no—
329C8×C101—41no—
330C8×C101—41no—
331C22×C101—22no—
332C22×C101—41no—
333C22×C101—41no—
334C22×C101—41no—
335C22×C101—42no—
336C22×C101—81no—
337C22×C101—81no—
338C22×C101—82no—
339C22×C101—82no—
340C22×C101—82no—
341C22×C101—81no—
342C22×C101—164no—
343C22×C101#52511yescharacteristic
344C22×C101#54611yescharacteristic
345C22×C101#54611yescharacteristic
346C4×C101—22no—
347C4×C101—41no—
348C4×C101—41no—
349C4×C101—41no—
350C4×C101—41no—
351C4×C101—81no—
352C4×C101—81no—
353C4×C101C2×#12111yescharacteristic
354C4×C101#53811yescharacteristic
355C4×C101D4211yescharacteristic
356C4×C101D4211yescharacteristic
357#25199C10111yesmaximal, characteristic, direct product factor, Sylow
358C2×C101—21no—
359C2×C101—21no—
360C2×C101—21no—
361C2×C101—42no—
362C2×C101—81no—
363C2×C101—82no—
364C2×C101—81no—
365C2×C101#242411yescharacteristic
366#3069C2×C10111yescharacteristic, complemented
367#3069C2×C10111yescharacteristic, complemented
368#3019C2×C10111yescharacteristic
369C2×#455C2×C10111yescharacteristic, complemented
370#2956C2×C10111yescharacteristic, complemented
371#2888C2×C10111yescharacteristic, complemented
372#2069C2×C10111yescharacteristic, complemented
373#2050C2×C10111yescharacteristic, complemented
374#2049C2×C10111yescharacteristic, complemented
375#2004C2×C10111yescharacteristic, complemented
376#1967C2×C10111yescharacteristic, complemented
377#1932C2×C10111yescharacteristic, complemented
378#1914C2×C10111yescharacteristic, complemented
379#1902C2×C10111yescharacteristic, complemented
380#1861C2×C10111yescharacteristic, complemented
381C101#2519911yescharacteristic, direct product factor, Sylow
382C2×H(5,𝔽2)C22×C10111yescharacteristic
383#575C22×C10111yescharacteristic
384#575C22×C10111yescharacteristic
385C2×#137C22×C10111yescharacteristic
386C2×#137C22×C10111yescharacteristic
387C2×#137C22×C10111yescharacteristic, complemented
388#568C22×C10111yescharacteristic
389#568C22×C10111yescharacteristic
390#568C22×C10111yescharacteristic, complemented
391#535C22×C10111yescharacteristic
392C2×#124C22×C10111yescharacteristic
393#473—22no—
394#473—22no—
395#471—22no—
396#471—22no—
397#455—22no—
398#455—22no—
399#455—22no—
400#453—22no—
401#444—22no—
402#443—22no—
403#430C22×C10111yescharacteristic, complemented
404#430C22×C10111yescharacteristic, complemented
405#430C22×C10111yescharacteristic, complemented
406#423C22×C10111yescharacteristic, complemented
407#421C22×C10111yescharacteristic
408#421C22×C10111yescharacteristic
409C2×#104C22×C10111yescharacteristic
410C2×#104C22×C10111yescharacteristic
411C2×#104C22×C10111yescharacteristic, complemented
412#419C22×C10111yescharacteristic, complemented
413#413—22no—
414#413C22×C10111yescharacteristic
415#413C22×C10111yescharacteristic
416#413C22×C10111yescharacteristic, complemented
417C2×#101C22×C10111yescharacteristic, complemented
418C2×#101C22×C10111yescharacteristic, complemented
419C2×#100—22no—
420C2×#100C22×C10111yescharacteristic
421C2×#100C22×C10111yescharacteristic
422C2×#100C22×C10111yescharacteristic
423C2×#100C22×C10111yescharacteristic
424C4×M16C22×C10111yescharacteristic, complemented
425#344C22×C10111yescharacteristic, complemented
426#344C22×C10111yescharacteristic, complemented
427#339C22×C10111yescharacteristic, complemented
428#338C22×C10111yescharacteristic, complemented
429H(5,𝔽2)—22no—
430H(5,𝔽2)—22no—
431H(5,𝔽2)—41no—
432H(5,𝔽2)—41no—
433C2×#41—21no—
434C2×#41—21no—
435C2×#41C23×C10111yescharacteristic
436C2×#41C23×C10111yescharacteristic
437C2×#41C23×C10111yescharacteristic
438C22×Q8C23×C10111yescharacteristic
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4C23×C10111yescharacteristic
443#137—21no—
444#137—22no—
445#137—22no—
446#137—21no—
447#137—21no—
448#137—22no—
449#137—22no—
450#137—41no—
451#137—41no—
452#137D4×C10112yes—
453AGL(1,ℤ/8)—21no—
454AGL(1,ℤ/8)—21no—
455AGL(1,ℤ/8)—21no—
456AGL(1,ℤ/8)D4×C10112yes—
457#135—22no—
458#135—41no—
459C2×Q16—21no—
460C2×Q16—21no—
461C2×Q16—21no—
462C2×SD16—21no—
463C2×SD16—21no—
464C2×SD16—21no—
465#131—22no—
466#131—22no—
467#131—22no—
468#131—22no—
469#131—41no—
470#131—41no—
471C2×M16—22no—
472C2×M16—22no—
473C2×M16—41no—
474C2×M16C23×C10111yescharacteristic
475C2×M16C23×C10111yescharacteristic
476C2×M16C23×C10111yescharacteristic
477C2×M16C23×C10111yescharacteristic
478C2×M16C23×C10111yescharacteristic
479C2×M16C23×C10111yescharacteristic
480C2×M16C23×C10111yescharacteristic
481C2×M16C23×C10111yescharacteristic
482#127—21no—
483#124—21no—
484#124—21no—
485#124—21no—
486#124—41no—
487#121—41no—
488#120—22no—
489#117C23×C10111yescharacteristic
490C2×C22⋊C4—22no—
491C2×C42C23×C10111yescharacteristic
492#108—22no—
493#108—22no—
494#108—22no—
495C4⋊C8—41no—
496#104—22no—
497#104—22no—
498#104—21no—
499#104—21no—
500#104—21no—
501#104—21no—
502#104D4×C10112yescomplemented
503#104D4×C10112yescomplemented
504#103—41no—
505#101—21no—
506#101—21no—
507#101—22no—
508#101—22no—
509#101D4×C10112yescomplemented
510#100—21no—
511#100—21no—
512#100—22no—
513#100—22no—
514#100—22no—
515#100—22no—
516#100D4×C10112yescomplemented
517#97—21no—
518C4×C8—21no—
519C24—22no—
520C24#41×C10112yes—
521#41—21no—
522#41—21no—
523#41—21no—
524#41—21no—
525#41—21no—
526#41—21no—
527#41—21no—
528#41—21no—
529#41—21no—
530#41—21no—
531#41—42no—
532#41—42no—
533#41—42no—
534#41—42no—
535#41C2×D4×C10112yes—
536#41C2×D4×C10112yes—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8C2×D4×C10111yescharacteristic
544C2×Q8C2×D4×C10111yescharacteristic
545C2×Q8#41×C10111yescharacteristic
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—44no—
560C2×D4—44no—
561C2×D4—42no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4C2×D4×C10111yescharacteristic
565C2×D4C2×D4×C10111yescharacteristic
566C2×D4#41×C10111yescharacteristic
567C22×C4—21no—
568C22×C4—22no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4C24×C10111yescharacteristic
574Q16—22no—
575Q16—42no—
576Q16—42no—
577Q16—41no—
578Q16—42no—
579SD16—22no—
580SD16—22no—
581SD16—42no—
582SD16—42no—
583SD16—41no—
584SD16—41no—
585SD16—42no—
586D8—22no—
587D8—41no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—21no—
592M16—21no—
593M16—21no—
594M16—21no—
595M16—21no—
596M16—21no—
597M16—21no—
598M16—21no—
599M16—21no—
600M16—42no—
601M16—42no—
602M16—42no—
603M16C2×D4×C10112yes—
604M16C2×D4×C10112yes—
605M16C2×D4×C10112yes—
606M16C2×D4×C10112yes—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—21no—
612C2×C8—21no—
613C2×C8—21no—
614C2×C8—21no—
615C2×C8—42no—
616C2×C8—42no—
617C2×C8—42no—
618C4⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—42no—
621C22⋊C4—42no—
622C22⋊C4—42no—
623C42—21no—
624C42—21no—
625C42C2×D4×C10111yescharacteristic
626C42C2×D4×C10111yescharacteristic
627C23—21no—
628C23—22no—
629C23—21no—
630C23—22no—
631C23—22no—
632C23—21no—
633C23—44no—
634C23—82no—
635C23—162no—
636C23C2×#41×C10111yescharacteristic
637Q8—21no—
638Q8—21no—
639Q8—21no—
640Q8—21no—
641Q8—21no—
642Q8—41no—
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8#121×C10112yes—
647D4—22no—
648D4—22no—
649D4—21no—
650D4—21no—
651D4—21no—
652D4—21no—
653D4—21no—
654D4—44no—
655D4—44no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—41no—
664D4—162no—
665D4#121×C10112yes—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—44no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—81no—
683C2×C4C22×D4×C10111yescharacteristic
684C2×C4C22×D4×C10111yescharacteristic
685C2×C4C22×D4×C10111yescharacteristic
686C2×C4C2×#41×C10111yescharacteristic
687C2×C4H(5,𝔽2)×C10111yescharacteristic
688C2×C4H(5,𝔽2)×C10111yescharacteristic
689C8—22no—
690C8—22no—
691C8—22no—
692C8—22no—
693C8—41no—
694C8—41no—
695C8—41no—
696C8—41no—
697C22—22no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—42no—
702C22—81no—
703C22—81no—
704C22—82no—
705C22—82no—
706C22—82no—
707C22—81no—
708C22—164no—
709C22#525×C10111yescharacteristic
710C22#546×C10111yescharacteristic
711C22#546×C10111yescharacteristic
712C4—22no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—81no—
718C4—81no—
719C4C2×#121×C10111yescharacteristic
720C4#538×C10111yescharacteristic
721C4D42×C10111yescharacteristic
722C4D42×C10111yescharacteristic
723C2—21no—
724C2—21no—
725C2—21no—
726C2—42no—
727C2—82no—
728C2—81no—
729C2—81no—
730C2C101×#242411yescharacteristic
subgroupG/H
center, socleC2×C101#2424
commutator, Frattini, cosocleC22×C4C24×C101
prime radicalC101×#3019C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C101 ◁ C22×C4×C101 ◁ G

Complements

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

NH ≅ G/Ntype
1. C101×#3069C2semidirect
2. C101×#3069C2semidirect
4. C2×#455×C101C2semidirect
5. C101×#2956C2semidirect
6. C101×#2888C2semidirect
7. C101×#2069C2semidirect
8. C101×#2050C2semidirect
9. C101×#2049C2semidirect
10. C101×#2004C2semidirect
11. C101×#1967C2semidirect
12. C101×#1932C2semidirect
13. C101×#1914C2semidirect
14. C101×#1902C2semidirect
15. C101×#1861C2semidirect
21. C2×#137×C101C22semidirect
24. #568×C101C22semidirect
37. #430×C101C22semidirect
38. #430×C101C22semidirect
39. #430×C101C22semidirect
40. #423×C101C22semidirect
45. C2×#104×C101C22semidirect
46. #419×C101C22semidirect
50. #413×C101C22semidirect
51. C2×#101×C101C22semidirect
52. C2×#101×C101C22semidirect
58. C4×M16×C101C22semidirect
59. #344×C101C22semidirect
60. #344×C101C22semidirect
61. #339×C101C22semidirect
62. #338×C101C22semidirect
136. #104×C101D4semidirect
137. #104×C101D4semidirect
143. #101×C101D4semidirect
150. #100×C101D4semidirect
357. #25199C101direct (N × H)
366. #3069C2×C101semidirect
367. #3069C2×C101semidirect
369. C2×#455C2×C101semidirect
370. #2956C2×C101semidirect
371. #2888C2×C101semidirect
372. #2069C2×C101semidirect
373. #2050C2×C101semidirect
374. #2049C2×C101semidirect
375. #2004C2×C101semidirect
376. #1967C2×C101semidirect
377. #1932C2×C101semidirect
378. #1914C2×C101semidirect
379. #1902C2×C101semidirect
380. #1861C2×C101semidirect
381. C101#25199direct (N × H)
387. C2×#137C22×C101semidirect
390. #568C22×C101semidirect
403. #430C22×C101semidirect
404. #430C22×C101semidirect
405. #430C22×C101semidirect
406. #423C22×C101semidirect
411. C2×#104C22×C101semidirect
412. #419C22×C101semidirect
416. #413C22×C101semidirect
417. C2×#101C22×C101semidirect
418. C2×#101C22×C101semidirect
424. C4×M16C22×C101semidirect
425. #344C22×C101semidirect
426. #344C22×C101semidirect
427. #339C22×C101semidirect
428. #338C22×C101semidirect
502. #104D4×C101semidirect
503. #104D4×C101semidirect
509. #101D4×C101semidirect
516. #100D4×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#30692
C101×#30192
C2×#455×C1012
C101×#29562
C101×#28882
C101×#20692
C101×#20502
C101×#20492
C101×#20042
C101×#19672
C101×#19322
C101×#19142
C101×#19022
C101×#18612
#25199101