Finite Group Databasebeta

← C103×#25199 #39930474

Subgroups — C103×#25199 #39930474

Order 26368.

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
1C103×#3069C211yesmaximal, characteristic, complemented
2C103×#3069C211yesmaximal, characteristic, complemented
3C103×#3019C211yesmaximal, characteristic
4C2×#455×C103C211yesmaximal, characteristic, complemented
5C103×#2956C211yesmaximal, characteristic, complemented
6C103×#2888C211yesmaximal, characteristic, complemented
7C103×#2069C211yesmaximal, characteristic, complemented
8C103×#2050C211yesmaximal, characteristic, complemented
9C103×#2049C211yesmaximal, characteristic, complemented
10C103×#2004C211yesmaximal, characteristic, complemented
11C103×#1967C211yesmaximal, characteristic, complemented
12C103×#1932C211yesmaximal, characteristic, complemented
13C103×#1914C211yesmaximal, characteristic, complemented
14C103×#1902C211yesmaximal, characteristic, complemented
15C103×#1861C211yesmaximal, characteristic, complemented
16C2×H(5,𝔽2)×C103C2211yescharacteristic
17#575×C103C2211yescharacteristic
18#575×C103C2211yescharacteristic
19C2×#137×C103C2211yescharacteristic
20C2×#137×C103C2211yescharacteristic
21C2×#137×C103C2211yescharacteristic, complemented
22#568×C103C2211yescharacteristic
23#568×C103C2211yescharacteristic
24#568×C103C2211yescharacteristic, complemented
25#535×C103C2211yescharacteristic
26C2×#124×C103C2211yescharacteristic
27#473×C103—22no—
28#473×C103—22no—
29#471×C103—22no—
30#471×C103—22no—
31#455×C103—22no—
32#455×C103—22no—
33#455×C103—22no—
34#453×C103—22no—
35#444×C103—22no—
36#443×C103—22no—
37#430×C103C2211yescharacteristic, complemented
38#430×C103C2211yescharacteristic, complemented
39#430×C103C2211yescharacteristic, complemented
40#423×C103C2211yescharacteristic, complemented
41#421×C103C2211yescharacteristic
42#421×C103C2211yescharacteristic
43C2×#104×C103C2211yescharacteristic
44C2×#104×C103C2211yescharacteristic
45C2×#104×C103C2211yescharacteristic, complemented
46#419×C103C2211yescharacteristic, complemented
47#413×C103—22no—
48#413×C103C2211yescharacteristic
49#413×C103C2211yescharacteristic
50#413×C103C2211yescharacteristic, complemented
51C2×#101×C103C2211yescharacteristic, complemented
52C2×#101×C103C2211yescharacteristic, complemented
53C2×#100×C103—22no—
54C2×#100×C103C2211yescharacteristic
55C2×#100×C103C2211yescharacteristic
56C2×#100×C103C2211yescharacteristic
57C2×#100×C103C2211yescharacteristic
58C4×M16×C103C2211yescharacteristic, complemented
59#344×C103C2211yescharacteristic, complemented
60#344×C103C2211yescharacteristic, complemented
61#339×C103C2211yescharacteristic, complemented
62#338×C103C2211yescharacteristic, complemented
63H(5,𝔽2)×C103—22no—
64H(5,𝔽2)×C103—22no—
65H(5,𝔽2)×C103—41no—
66H(5,𝔽2)×C103—41no—
67C2×#41×C103—21no—
68C2×#41×C103—21no—
69C2×#41×C103C2311yescharacteristic
70C2×#41×C103C2311yescharacteristic
71C2×#41×C103C2311yescharacteristic
72C22×Q8×C103C2311yescharacteristic
73C22×D4×C103—22no—
74C22×D4×C103—21no—
75C22×D4×C103—21no—
76C22×D4×C103C2311yescharacteristic
77#137×C103—21no—
78#137×C103—22no—
79#137×C103—22no—
80#137×C103—21no—
81#137×C103—21no—
82#137×C103—22no—
83#137×C103—22no—
84#137×C103—41no—
85#137×C103—41no—
86#137×C103D412yes—
87AGL(1,ℤ/8)×C103—21no—
88AGL(1,ℤ/8)×C103—21no—
89AGL(1,ℤ/8)×C103—21no—
90AGL(1,ℤ/8)×C103D412yes—
91#135×C103—22no—
92#135×C103—41no—
93C2×Q16×C103—21no—
94C2×Q16×C103—21no—
95C2×Q16×C103—21no—
96C2×SD16×C103—21no—
97C2×SD16×C103—21no—
98C2×SD16×C103—21no—
99#131×C103—22no—
100#131×C103—22no—
101#131×C103—22no—
102#131×C103—22no—
103#131×C103—41no—
104#131×C103—41no—
105C2×M16×C103—22no—
106C2×M16×C103—22no—
107C2×M16×C103—41no—
108C2×M16×C103C2311yescharacteristic
109C2×M16×C103C2311yescharacteristic
110C2×M16×C103C2311yescharacteristic
111C2×M16×C103C2311yescharacteristic
112C2×M16×C103C2311yescharacteristic
113C2×M16×C103C2311yescharacteristic
114C2×M16×C103C2311yescharacteristic
115C2×M16×C103C2311yescharacteristic
116#127×C103—21no—
117#124×C103—21no—
118#124×C103—21no—
119#124×C103—21no—
120#124×C103—41no—
121#121×C103—41no—
122#120×C103—22no—
123#117×C103C2311yescharacteristic
124C2×C22⋊C4×C103—22no—
125C2×C42×C103C2311yescharacteristic
126#108×C103—22no—
127#108×C103—22no—
128#108×C103—22no—
129C4⋊C8×C103—41no—
130#104×C103—22no—
131#104×C103—22no—
132#104×C103—21no—
133#104×C103—21no—
134#104×C103—21no—
135#104×C103—21no—
136#104×C103D412yescomplemented
137#104×C103D412yescomplemented
138#103×C103—41no—
139#101×C103—21no—
140#101×C103—21no—
141#101×C103—22no—
142#101×C103—22no—
143#101×C103D412yescomplemented
144#100×C103—21no—
145#100×C103—21no—
146#100×C103—22no—
147#100×C103—22no—
148#100×C103—22no—
149#100×C103—22no—
150#100×C103D412yescomplemented
151#97×C103—21no—
152C4×C8×C103—21no—
153C24×C103—22no—
154C24×C103#4112yes—
155#41×C103—21no—
156#41×C103—21no—
157#41×C103—21no—
158#41×C103—21no—
159#41×C103—21no—
160#41×C103—21no—
161#41×C103—21no—
162#41×C103—21no—
163#41×C103—21no—
164#41×C103—21no—
165#41×C103—42no—
166#41×C103—42no—
167#41×C103—42no—
168#41×C103—42no—
169#41×C103C2×D412yes—
170#41×C103C2×D412yes—
171C2×Q8×C103—21no—
172C2×Q8×C103—21no—
173C2×Q8×C103—21no—
174C2×Q8×C103—21no—
175C2×Q8×C103—21no—
176C2×Q8×C103—21no—
177C2×Q8×C103C2×D411yescharacteristic
178C2×Q8×C103C2×D411yescharacteristic
179C2×Q8×C103#4111yescharacteristic
180C2×D4×C103—21no—
181C2×D4×C103—22no—
182C2×D4×C103—22no—
183C2×D4×C103—21no—
184C2×D4×C103—21no—
185C2×D4×C103—21no—
186C2×D4×C103—21no—
187C2×D4×C103—21no—
188C2×D4×C103—21no—
189C2×D4×C103—21no—
190C2×D4×C103—21no—
191C2×D4×C103—42no—
192C2×D4×C103—42no—
193C2×D4×C103—44no—
194C2×D4×C103—44no—
195C2×D4×C103—42no—
196C2×D4×C103—42no—
197C2×D4×C103—42no—
198C2×D4×C103C2×D411yescharacteristic
199C2×D4×C103C2×D411yescharacteristic
200C2×D4×C103#4111yescharacteristic
201C22×C4×C103—21no—
202C22×C4×C103—22no—
203C22×C4×C103—21no—
204C22×C4×C103—21no—
205C22×C4×C103—21no—
206C22×C4×C103—21no—
207C22×C4×C103C2411yescharacteristic
208Q16×C103—22no—
209Q16×C103—42no—
210Q16×C103—42no—
211Q16×C103—41no—
212Q16×C103—42no—
213SD16×C103—22no—
214SD16×C103—22no—
215SD16×C103—42no—
216SD16×C103—42no—
217SD16×C103—41no—
218SD16×C103—41no—
219SD16×C103—42no—
220D8×C103—22no—
221D8×C103—41no—
222M16×C103—21no—
223M16×C103—21no—
224M16×C103—21no—
225M16×C103—21no—
226M16×C103—21no—
227M16×C103—21no—
228M16×C103—21no—
229M16×C103—21no—
230M16×C103—21no—
231M16×C103—21no—
232M16×C103—21no—
233M16×C103—21no—
234M16×C103—42no—
235M16×C103—42no—
236M16×C103—42no—
237M16×C103C2×D412yes—
238M16×C103C2×D412yes—
239M16×C103C2×D412yes—
240M16×C103C2×D412yes—
241C2×C8×C103—21no—
242C2×C8×C103—21no—
243C2×C8×C103—21no—
244C2×C8×C103—21no—
245C2×C8×C103—21no—
246C2×C8×C103—21no—
247C2×C8×C103—21no—
248C2×C8×C103—21no—
249C2×C8×C103—42no—
250C2×C8×C103—42no—
251C2×C8×C103—42no—
252C4⋊C4×C103—21no—
253C22⋊C4×C103—21no—
254C22⋊C4×C103—42no—
255C22⋊C4×C103—42no—
256C22⋊C4×C103—42no—
257C42×C103—21no—
258C42×C103—21no—
259C42×C103C2×D411yescharacteristic
260C42×C103C2×D411yescharacteristic
261C23×C103—21no—
262C23×C103—22no—
263C23×C103—21no—
264C23×C103—22no—
265C23×C103—22no—
266C23×C103—21no—
267C23×C103—44no—
268C23×C103—82no—
269C23×C103—162no—
270C23×C103C2×#4111yescharacteristic
271Q8×C103—21no—
272Q8×C103—21no—
273Q8×C103—21no—
274Q8×C103—21no—
275Q8×C103—21no—
276Q8×C103—41no—
277Q8×C103—41no—
278Q8×C103—41no—
279Q8×C103—41no—
280Q8×C103#12112yes—
281D4×C103—22no—
282D4×C103—22no—
283D4×C103—21no—
284D4×C103—21no—
285D4×C103—21no—
286D4×C103—21no—
287D4×C103—21no—
288D4×C103—44no—
289D4×C103—44no—
290D4×C103—41no—
291D4×C103—41no—
292D4×C103—41no—
293D4×C103—41no—
294D4×C103—41no—
295D4×C103—41no—
296D4×C103—41no—
297D4×C103—41no—
298D4×C103—162no—
299D4×C103#12112yes—
300C2×C4×C103—21no—
301C2×C4×C103—22no—
302C2×C4×C103—22no—
303C2×C4×C103—21no—
304C2×C4×C103—21no—
305C2×C4×C103—21no—
306C2×C4×C103—21no—
307C2×C4×C103—44no—
308C2×C4×C103—41no—
309C2×C4×C103—41no—
310C2×C4×C103—41no—
311C2×C4×C103—41no—
312C2×C4×C103—41no—
313C2×C4×C103—41no—
314C2×C4×C103—41no—
315C2×C4×C103—41no—
316C2×C4×C103—81no—
317C2×C4×C103C22×D411yescharacteristic
318C2×C4×C103C22×D411yescharacteristic
319C2×C4×C103C22×D411yescharacteristic
320C2×C4×C103C2×#4111yescharacteristic
321C2×C4×C103H(5,𝔽2)11yescharacteristic
322C2×C4×C103H(5,𝔽2)11yescharacteristic
323C8×C103—22no—
324C8×C103—22no—
325C8×C103—22no—
326C8×C103—22no—
327C8×C103—41no—
328C8×C103—41no—
329C8×C103—41no—
330C8×C103—41no—
331C22×C103—22no—
332C22×C103—41no—
333C22×C103—41no—
334C22×C103—41no—
335C22×C103—42no—
336C22×C103—81no—
337C22×C103—81no—
338C22×C103—82no—
339C22×C103—82no—
340C22×C103—82no—
341C22×C103—81no—
342C22×C103—164no—
343C22×C103#52511yescharacteristic
344C22×C103#54611yescharacteristic
345C22×C103#54611yescharacteristic
346C4×C103—22no—
347C4×C103—41no—
348C4×C103—41no—
349C4×C103—41no—
350C4×C103—41no—
351C4×C103—81no—
352C4×C103—81no—
353C4×C103C2×#12111yescharacteristic
354C4×C103#53811yescharacteristic
355C4×C103D4211yescharacteristic
356C4×C103D4211yescharacteristic
357#25199C10311yesmaximal, characteristic, direct product factor, Sylow
358C2×C103—21no—
359C2×C103—21no—
360C2×C103—21no—
361C2×C103—42no—
362C2×C103—81no—
363C2×C103—82no—
364C2×C103—81no—
365C2×C103#242411yescharacteristic
366#3069C2×C10311yescharacteristic, complemented
367#3069C2×C10311yescharacteristic, complemented
368#3019C2×C10311yescharacteristic
369C2×#455C2×C10311yescharacteristic, complemented
370#2956C2×C10311yescharacteristic, complemented
371#2888C2×C10311yescharacteristic, complemented
372#2069C2×C10311yescharacteristic, complemented
373#2050C2×C10311yescharacteristic, complemented
374#2049C2×C10311yescharacteristic, complemented
375#2004C2×C10311yescharacteristic, complemented
376#1967C2×C10311yescharacteristic, complemented
377#1932C2×C10311yescharacteristic, complemented
378#1914C2×C10311yescharacteristic, complemented
379#1902C2×C10311yescharacteristic, complemented
380#1861C2×C10311yescharacteristic, complemented
381C103#2519911yescharacteristic, direct product factor, Sylow
382C2×H(5,𝔽2)C22×C10311yescharacteristic
383#575C22×C10311yescharacteristic
384#575C22×C10311yescharacteristic
385C2×#137C22×C10311yescharacteristic
386C2×#137C22×C10311yescharacteristic
387C2×#137C22×C10311yescharacteristic, complemented
388#568C22×C10311yescharacteristic
389#568C22×C10311yescharacteristic
390#568C22×C10311yescharacteristic, complemented
391#535C22×C10311yescharacteristic
392C2×#124C22×C10311yescharacteristic
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×C10311yescharacteristic, complemented
404#430C22×C10311yescharacteristic, complemented
405#430C22×C10311yescharacteristic, complemented
406#423C22×C10311yescharacteristic, complemented
407#421C22×C10311yescharacteristic
408#421C22×C10311yescharacteristic
409C2×#104C22×C10311yescharacteristic
410C2×#104C22×C10311yescharacteristic
411C2×#104C22×C10311yescharacteristic, complemented
412#419C22×C10311yescharacteristic, complemented
413#413—22no—
414#413C22×C10311yescharacteristic
415#413C22×C10311yescharacteristic
416#413C22×C10311yescharacteristic, complemented
417C2×#101C22×C10311yescharacteristic, complemented
418C2×#101C22×C10311yescharacteristic, complemented
419C2×#100—22no—
420C2×#100C22×C10311yescharacteristic
421C2×#100C22×C10311yescharacteristic
422C2×#100C22×C10311yescharacteristic
423C2×#100C22×C10311yescharacteristic
424C4×M16C22×C10311yescharacteristic, complemented
425#344C22×C10311yescharacteristic, complemented
426#344C22×C10311yescharacteristic, complemented
427#339C22×C10311yescharacteristic, complemented
428#338C22×C10311yescharacteristic, 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×C10311yescharacteristic
436C2×#41C23×C10311yescharacteristic
437C2×#41C23×C10311yescharacteristic
438C22×Q8C23×C10311yescharacteristic
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4C23×C10311yescharacteristic
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×C10312yes—
453AGL(1,ℤ/8)—21no—
454AGL(1,ℤ/8)—21no—
455AGL(1,ℤ/8)—21no—
456AGL(1,ℤ/8)D4×C10312yes—
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×C10311yescharacteristic
475C2×M16C23×C10311yescharacteristic
476C2×M16C23×C10311yescharacteristic
477C2×M16C23×C10311yescharacteristic
478C2×M16C23×C10311yescharacteristic
479C2×M16C23×C10311yescharacteristic
480C2×M16C23×C10311yescharacteristic
481C2×M16C23×C10311yescharacteristic
482#127—21no—
483#124—21no—
484#124—21no—
485#124—21no—
486#124—41no—
487#121—41no—
488#120—22no—
489#117C23×C10311yescharacteristic
490C2×C22⋊C4—22no—
491C2×C42C23×C10311yescharacteristic
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×C10312yescomplemented
503#104D4×C10312yescomplemented
504#103—41no—
505#101—21no—
506#101—21no—
507#101—22no—
508#101—22no—
509#101D4×C10312yescomplemented
510#100—21no—
511#100—21no—
512#100—22no—
513#100—22no—
514#100—22no—
515#100—22no—
516#100D4×C10312yescomplemented
517#97—21no—
518C4×C8—21no—
519C24—22no—
520C24#41×C10312yes—
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×C10312yes—
536#41C2×D4×C10312yes—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8C2×D4×C10311yescharacteristic
544C2×Q8C2×D4×C10311yescharacteristic
545C2×Q8#41×C10311yescharacteristic
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×C10311yescharacteristic
565C2×D4C2×D4×C10311yescharacteristic
566C2×D4#41×C10311yescharacteristic
567C22×C4—21no—
568C22×C4—22no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4C24×C10311yescharacteristic
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×C10312yes—
604M16C2×D4×C10312yes—
605M16C2×D4×C10312yes—
606M16C2×D4×C10312yes—
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×C10311yescharacteristic
626C42C2×D4×C10311yescharacteristic
627C23—21no—
628C23—22no—
629C23—21no—
630C23—22no—
631C23—22no—
632C23—21no—
633C23—44no—
634C23—82no—
635C23—162no—
636C23C2×#41×C10311yescharacteristic
637Q8—21no—
638Q8—21no—
639Q8—21no—
640Q8—21no—
641Q8—21no—
642Q8—41no—
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8#121×C10312yes—
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×C10312yes—
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×C10311yescharacteristic
684C2×C4C22×D4×C10311yescharacteristic
685C2×C4C22×D4×C10311yescharacteristic
686C2×C4C2×#41×C10311yescharacteristic
687C2×C4H(5,𝔽2)×C10311yescharacteristic
688C2×C4H(5,𝔽2)×C10311yescharacteristic
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×C10311yescharacteristic
710C22#546×C10311yescharacteristic
711C22#546×C10311yescharacteristic
712C4—22no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—81no—
718C4—81no—
719C4C2×#121×C10311yescharacteristic
720C4#538×C10311yescharacteristic
721C4D42×C10311yescharacteristic
722C4D42×C10311yescharacteristic
723C2—21no—
724C2—21no—
725C2—21no—
726C2—42no—
727C2—82no—
728C2—81no—
729C2—81no—
730C2C103×#242411yescharacteristic
subgroupG/H
center, socleC2×C103#2424
commutator, Frattini, cosocleC22×C4C24×C103
prime radicalC103×#3019C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C103 ◁ C22×C4×C103 ◁ G

Complements

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

NH ≅ G/Ntype
1. C103×#3069C2semidirect
2. C103×#3069C2semidirect
4. C2×#455×C103C2semidirect
5. C103×#2956C2semidirect
6. C103×#2888C2semidirect
7. C103×#2069C2semidirect
8. C103×#2050C2semidirect
9. C103×#2049C2semidirect
10. C103×#2004C2semidirect
11. C103×#1967C2semidirect
12. C103×#1932C2semidirect
13. C103×#1914C2semidirect
14. C103×#1902C2semidirect
15. C103×#1861C2semidirect
21. C2×#137×C103C22semidirect
24. #568×C103C22semidirect
37. #430×C103C22semidirect
38. #430×C103C22semidirect
39. #430×C103C22semidirect
40. #423×C103C22semidirect
45. C2×#104×C103C22semidirect
46. #419×C103C22semidirect
50. #413×C103C22semidirect
51. C2×#101×C103C22semidirect
52. C2×#101×C103C22semidirect
58. C4×M16×C103C22semidirect
59. #344×C103C22semidirect
60. #344×C103C22semidirect
61. #339×C103C22semidirect
62. #338×C103C22semidirect
136. #104×C103D4semidirect
137. #104×C103D4semidirect
143. #101×C103D4semidirect
150. #100×C103D4semidirect
357. #25199C103direct (N × H)
366. #3069C2×C103semidirect
367. #3069C2×C103semidirect
369. C2×#455C2×C103semidirect
370. #2956C2×C103semidirect
371. #2888C2×C103semidirect
372. #2069C2×C103semidirect
373. #2050C2×C103semidirect
374. #2049C2×C103semidirect
375. #2004C2×C103semidirect
376. #1967C2×C103semidirect
377. #1932C2×C103semidirect
378. #1914C2×C103semidirect
379. #1902C2×C103semidirect
380. #1861C2×C103semidirect
381. C103#25199direct (N × H)
387. C2×#137C22×C103semidirect
390. #568C22×C103semidirect
403. #430C22×C103semidirect
404. #430C22×C103semidirect
405. #430C22×C103semidirect
406. #423C22×C103semidirect
411. C2×#104C22×C103semidirect
412. #419C22×C103semidirect
416. #413C22×C103semidirect
417. C2×#101C22×C103semidirect
418. C2×#101C22×C103semidirect
424. C4×M16C22×C103semidirect
425. #344C22×C103semidirect
426. #344C22×C103semidirect
427. #339C22×C103semidirect
428. #338C22×C103semidirect
502. #104D4×C103semidirect
503. #104D4×C103semidirect
509. #101D4×C103semidirect
516. #100D4×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#30692
C103×#30192
C2×#455×C1032
C103×#29562
C103×#28882
C103×#20692
C103×#20502
C103×#20492
C103×#20042
C103×#19672
C103×#19322
C103×#19142
C103×#19022
C103×#18612
#25199103