Finite Group Databasebeta

← C103×#25446 #39930721

Subgroups — C103×#25446 #39930721

Order 26368.

876 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3154C211yesmaximal, characteristic, complemented
2C103×#3069C211yesmaximal, characteristic, complemented
3C103×#3068C211yesmaximal, characteristic, complemented
4C103×#3067C211yesmaximal, characteristic, complemented
5C2×#471×C103C211yesmaximal, characteristic, complemented
6C103×#2957C211yesmaximal, characteristic, complemented
7C103×#2049C211yesmaximal, characteristic, complemented
8C103×#2048C211yesmaximal, characteristic, complemented
9C103×#2009C211yesmaximal, characteristic, complemented
10C103×#2008C211yesmaximal, characteristic, complemented
11C103×#1977C211yesmaximal, characteristic, complemented
12C103×#1953C211yesmaximal, characteristic, complemented
13C103×#1915C211yesmaximal, characteristic, complemented
14C103×#1914C211yesmaximal, characteristic, complemented
15C103×#1757C211yesmaximal, characteristic, complemented
16#575×C103C2211yescharacteristic
17#575×C103C2211yescharacteristic
18C2×#137×C103C2211yescharacteristic
19C2×#137×C103C2211yescharacteristic
20C2×AGL(1,ℤ/8)×C103C2211yescharacteristic
21C2×AGL(1,ℤ/8)×C103C2211yescharacteristic
22C2×#135×C103C2211yescharacteristic
23C22×SD16×C103C2211yescharacteristic
24#568×C103C2211yescharacteristic
25#568×C103C2211yescharacteristic
26C2×#131×C103C2211yescharacteristic
27#536×C103C2211yescharacteristic
28#535×C103C2211yescharacteristic
29#497×C103—21no—
30#496×C103—21no—
31#495×C103—21no—
32#492×C103—21no—
33#473×C103—21no—
34#473×C103—22no—
35#472×C103—21no—
36#472×C103—22no—
37#471×C103—21no—
38#471×C103—21no—
39#471×C103—22no—
40#471×C103—22no—
41#471×C103—22no—
42#471×C103—22no—
43#444×C103—22no—
44#443×C103—22no—
45#430×C103C2211yescharacteristic
46#430×C103C2211yescharacteristic
47C2×#108×C103C2211yescharacteristic
48C2×#108×C103C2211yescharacteristic
49#421×C103C2211yescharacteristic
50#421×C103C2211yescharacteristic
51#419×C103C2211yescharacteristic
52#418×C103C2211yescharacteristic
53#413×C103C2211yescharacteristic
54#413×C103C2211yescharacteristic
55#413×C103C2211yescharacteristic
56C2×#101×C103C2211yescharacteristic
57C2×#101×C103C2211yescharacteristic
58C2×#100×C103C2211yescharacteristic
59C2×#100×C103C2211yescharacteristic
60#410×C103C2211yescharacteristic
61#405×C103C2211yescharacteristic
62#405×C103C2211yescharacteristic
63#344×C103C2211yescharacteristic
64#344×C103C2211yescharacteristic
65#344×C103C2211yescharacteristic
66#344×C103C2211yescharacteristic
67C2×#41×C103C2311yescharacteristic
68C2×#41×C103C2311yescharacteristic
69C2×#41×C103C2311yescharacteristic
70C22×Q8×C103C2311yescharacteristic
71C22×D4×C103C2311yescharacteristic
72#137×C103—21no—
73#137×C103—21no—
74#137×C103—21no—
75#137×C103—21no—
76#137×C103—22no—
77#137×C103—22no—
78#137×C103—41no—
79#137×C103—41no—
80AGL(1,ℤ/8)×C103—21no—
81AGL(1,ℤ/8)×C103—21no—
82AGL(1,ℤ/8)×C103—21no—
83AGL(1,ℤ/8)×C103—21no—
84AGL(1,ℤ/8)×C103—22no—
85AGL(1,ℤ/8)×C103—22no—
86AGL(1,ℤ/8)×C103—41no—
87AGL(1,ℤ/8)×C103—41no—
88#135×C103—21no—
89#135×C103—21no—
90#135×C103—21no—
91#135×C103—21no—
92#135×C103—41no—
93#135×C103—41no—
94C2×Q16×C103—21no—
95C2×Q16×C103—21no—
96C2×Q16×C103D411yescharacteristic
97C2×SD16×C103—21no—
98C2×SD16×C103—21no—
99C2×SD16×C103—21no—
100C2×SD16×C103—21no—
101C2×SD16×C103—21no—
102C2×SD16×C103—21no—
103C2×SD16×C103—21no—
104C2×SD16×C103—21no—
105C2×SD16×C103—21no—
106C2×SD16×C103—21no—
107C2×SD16×C103D411yescharacteristic
108C2×SD16×C103D411yescharacteristic
109C2×D8×C103—21no—
110C2×D8×C103—21no—
111C2×D8×C103D411yescharacteristic
112#131×C103—22no—
113#131×C103—22no—
114#131×C103—22no—
115#131×C103—22no—
116#131×C103—21no—
117#131×C103—21no—
118#131×C103—21no—
119#131×C103—21no—
120C2×M16×C103—21no—
121C2×M16×C103—41no—
122C2×M16×C103—41no—
123C2×M16×C103C2311yescharacteristic
124C2×M16×C103C2311yescharacteristic
125C2×M16×C103C2311yescharacteristic
126C2×M16×C103C2311yescharacteristic
127C2×M16×C103C2311yescharacteristic
128C2×M16×C103C2311yescharacteristic
129C2×M16×C103C2311yescharacteristic
130C22×C8×C103—21no—
131C22×C8×C103C2311yescharacteristic
132C4⋊Q8×C103—21no—
133#127×C103—21no—
134#124×C103—21no—
135#124×C103—21no—
136#123×C103—22no—
137C22⋊Q8×C103—41no—
138#121×C103—41no—
139#120×C103—22no—
140#117×C103C2311yescharacteristic
141#117×C103C2311yescharacteristic
142#108×C103—22no—
143#108×C103—22no—
144#108×C103—21no—
145#108×C103—21no—
146#108×C103D412yescomplemented
147#108×C103D412yescomplemented
148#104×C103—22no—
149#104×C103—22no—
150#103×C103—41no—
151#102×C103—41no—
152#101×C103—21no—
153#101×C103—21no—
154#101×C103—22no—
155#101×C103—22no—
156#101×C103D412yescomplemented
157#100×C103—21no—
158#100×C103—21no—
159#100×C103—22no—
160#100×C103—22no—
161#100×C103D412yescomplemented
162#99×C103—22no—
163#97×C103—21no—
164#97×C103—21no—
165C4×C8×C103—21no—
166C4×C8×C103—21no—
167C24×C103—21no—
168#41×C103—21no—
169#41×C103—21no—
170#41×C103—21no—
171#41×C103—21no—
172#41×C103—21no—
173#41×C103—21no—
174#41×C103—21no—
175#41×C103—21no—
176#41×C103—21no—
177#41×C103—21no—
178#41×C103—21no—
179#41×C103—21no—
180C2×Q8×C103—21no—
181C2×Q8×C103—21no—
182C2×Q8×C103—21no—
183C2×Q8×C103—21no—
184C2×Q8×C103—21no—
185C2×Q8×C103—21no—
186C2×Q8×C103C2×D411yescharacteristic
187C2×Q8×C103C2×D411yescharacteristic
188C2×Q8×C103C2×D411yescharacteristic
189C2×D4×C103—21no—
190C2×D4×C103—21no—
191C2×D4×C103—21no—
192C2×D4×C103—21no—
193C2×D4×C103—21no—
194C2×D4×C103—21no—
195C2×D4×C103—21no—
196C2×D4×C103—21no—
197C2×D4×C103—21no—
198C2×D4×C103—42no—
199C2×D4×C103C2×D411yescharacteristic
200C2×D4×C103C2×D411yescharacteristic
201C2×D4×C103C2×D411yescharacteristic
202C22×C4×C103—21no—
203C22×C4×C103—21no—
204C22×C4×C103—21no—
205C22×C4×C103—21no—
206C22×C4×C103C2411yescharacteristic
207Q16×C103—21no—
208Q16×C103—21no—
209Q16×C103—42no—
210Q16×C103—42no—
211Q16×C103—41no—
212Q16×C103—41no—
213SD16×C103—21no—
214SD16×C103—21no—
215SD16×C103—21no—
216SD16×C103—21no—
217SD16×C103—42no—
218SD16×C103—42no—
219SD16×C103—42no—
220SD16×C103—42no—
221SD16×C103—41no—
222SD16×C103—41no—
223SD16×C103—41no—
224SD16×C103—41no—
225SD16×C103—41no—
226SD16×C103—41no—
227SD16×C103—41no—
228SD16×C103—41no—
229D8×C103—21no—
230D8×C103—21no—
231D8×C103—42no—
232D8×C103—42no—
233D8×C103—41no—
234D8×C103—41no—
235M16×C103—21no—
236M16×C103—21no—
237M16×C103—21no—
238M16×C103—21no—
239M16×C103—21no—
240M16×C103—21no—
241M16×C103—21no—
242M16×C103—21no—
243M16×C103—21no—
244M16×C103—21no—
245M16×C103—42no—
246M16×C103—42no—
247M16×C103—41no—
248M16×C103—41no—
249M16×C103C2×D412yes—
250M16×C103C2×D412yes—
251M16×C103C2×D412yes—
252M16×C103C2×D412yes—
253C2×C8×C103—21no—
254C2×C8×C103—21no—
255C2×C8×C103—21no—
256C2×C8×C103—21no—
257C2×C8×C103—21no—
258C2×C8×C103—21no—
259C2×C8×C103—21no—
260C2×C8×C103—42no—
261C2×C8×C103—42no—
262C2×C8×C103—41no—
263C2×C8×C103—41no—
264C2×C8×C103C2×D411yescharacteristic
265C2×C8×C103C2×D411yescharacteristic
266C2×C8×C103C2×D411yescharacteristic
267C2×C8×C103C2×D411yescharacteristic
268C2×C8×C103#4111yescharacteristic
269C2×C8×C103#4111yescharacteristic
270C4⋊C4×C103—21no—
271C4⋊C4×C103—21no—
272C4⋊C4×C103—42no—
273C22⋊C4×C103—21no—
274C22⋊C4×C103—42no—
275C22⋊C4×C103—42no—
276C22⋊C4×C103#4112yes—
277C42×C103—21no—
278C42×C103—21no—
279C23×C103—21no—
280C23×C103—21no—
281C23×C103—21no—
282C23×C103—41no—
283C23×C103—41no—
284C23×C103—41no—
285C23×C103—161no—
286C23×C103C2×#4111yescharacteristic
287Q8×C103—21no—
288Q8×C103—21no—
289Q8×C103—21no—
290Q8×C103—21no—
291Q8×C103—21no—
292Q8×C103—21no—
293Q8×C103—41no—
294Q8×C103—41no—
295Q8×C103—41no—
296Q8×C103—41no—
297D4×C103—21no—
298D4×C103—21no—
299D4×C103—21no—
300D4×C103—21no—
301D4×C103—21no—
302D4×C103—21no—
303D4×C103—41no—
304D4×C103—41no—
305D4×C103—41no—
306D4×C103—41no—
307D4×C103—41no—
308D4×C103—41no—
309D4×C103—41no—
310D4×C103—41no—
311D4×C103—41no—
312D4×C103—41no—
313D4×C103—162no—
314C2×C4×C103—21no—
315C2×C4×C103—22no—
316C2×C4×C103—21no—
317C2×C4×C103—21no—
318C2×C4×C103—41no—
319C2×C4×C103—41no—
320C2×C4×C103—41no—
321C2×C4×C103—41no—
322C2×C4×C103—41no—
323C2×C4×C103—41no—
324C2×C4×C103—41no—
325C2×C4×C103—41no—
326C2×C4×C103—41no—
327C2×C4×C103—41no—
328C2×C4×C103C22×D411yescharacteristic
329C2×C4×C103C22×D411yescharacteristic
330C2×C4×C103C22×D411yescharacteristic
331C2×C4×C103C2×#4111yescharacteristic
332C2×C4×C103H(5,𝔽2)11yescharacteristic
333C2×C4×C103H(5,𝔽2)11yescharacteristic
334C8×C103—22no—
335C8×C103—22no—
336C8×C103—22no—
337C8×C103—22no—
338C8×C103—41no—
339C8×C103—41no—
340C8×C103—41no—
341C8×C103#12111yescharacteristic
342C8×C103#12111yescharacteristic
343C8×C103#12111yescharacteristic
344C8×C103#12111yescharacteristic
345C22×C103—41no—
346C22×C103—41no—
347C22×C103—41no—
348C22×C103—41no—
349C22×C103—81no—
350C22×C103—81no—
351C22×C103—81no—
352C22×C103—82no—
353C22×C103—81no—
354C22×C103—161no—
355C22×C103—161no—
356C22×C103#53211yescharacteristic
357C22×C103#54611yescharacteristic
358C22×C103#55011yescharacteristic
359C4×C103—42no—
360C4×C103—41no—
361C4×C103—41no—
362C4×C103—41no—
363C4×C103—81no—
364C4×C103—81no—
365C4×C103C2×#12111yescharacteristic
366C4×C103#54011yescharacteristic
367C4×C103D4211yescharacteristic
368C4×C103D4211yescharacteristic
369#25446C10311yesmaximal, characteristic, direct product factor, Sylow
370C2×C103—21no—
371C2×C103—21no—
372C2×C103—21no—
373C2×C103—81no—
374C2×C103—81no—
375C2×C103—81no—
376C2×C103—161no—
377C2×C103#242811yescharacteristic
378#3154C2×C10311yescharacteristic, complemented
379#3069C2×C10311yescharacteristic, complemented
380#3068C2×C10311yescharacteristic, complemented
381#3067C2×C10311yescharacteristic, complemented
382C2×#471C2×C10311yescharacteristic, complemented
383#2957C2×C10311yescharacteristic, complemented
384#2049C2×C10311yescharacteristic, complemented
385#2048C2×C10311yescharacteristic, complemented
386#2009C2×C10311yescharacteristic, complemented
387#2008C2×C10311yescharacteristic, complemented
388#1977C2×C10311yescharacteristic, complemented
389#1953C2×C10311yescharacteristic, complemented
390#1915C2×C10311yescharacteristic, complemented
391#1914C2×C10311yescharacteristic, complemented
392#1757C2×C10311yescharacteristic, complemented
393C103#2544611yescharacteristic, direct product factor, Sylow
394#575C22×C10311yescharacteristic
395#575C22×C10311yescharacteristic
396C2×#137C22×C10311yescharacteristic
397C2×#137C22×C10311yescharacteristic
398C2×AGL(1,ℤ/8)C22×C10311yescharacteristic
399C2×AGL(1,ℤ/8)C22×C10311yescharacteristic
400C2×#135C22×C10311yescharacteristic
401C22×SD16C22×C10311yescharacteristic
402#568C22×C10311yescharacteristic
403#568C22×C10311yescharacteristic
404C2×#131C22×C10311yescharacteristic
405#536C22×C10311yescharacteristic
406#535C22×C10311yescharacteristic
407#497—21no—
408#496—21no—
409#495—21no—
410#492—21no—
411#473—21no—
412#473—22no—
413#472—21no—
414#472—22no—
415#471—21no—
416#471—21no—
417#471—22no—
418#471—22no—
419#471—22no—
420#471—22no—
421#444—22no—
422#443—22no—
423#430C22×C10311yescharacteristic
424#430C22×C10311yescharacteristic
425C2×#108C22×C10311yescharacteristic
426C2×#108C22×C10311yescharacteristic
427#421C22×C10311yescharacteristic
428#421C22×C10311yescharacteristic
429#419C22×C10311yescharacteristic
430#418C22×C10311yescharacteristic
431#413C22×C10311yescharacteristic
432#413C22×C10311yescharacteristic
433#413C22×C10311yescharacteristic
434C2×#101C22×C10311yescharacteristic
435C2×#101C22×C10311yescharacteristic
436C2×#100C22×C10311yescharacteristic
437C2×#100C22×C10311yescharacteristic
438#410C22×C10311yescharacteristic
439#405C22×C10311yescharacteristic
440#405C22×C10311yescharacteristic
441#344C22×C10311yescharacteristic
442#344C22×C10311yescharacteristic
443#344C22×C10311yescharacteristic
444#344C22×C10311yescharacteristic
445C2×#41C23×C10311yescharacteristic
446C2×#41C23×C10311yescharacteristic
447C2×#41C23×C10311yescharacteristic
448C22×Q8C23×C10311yescharacteristic
449C22×D4C23×C10311yescharacteristic
450#137—21no—
451#137—21no—
452#137—21no—
453#137—21no—
454#137—22no—
455#137—22no—
456#137—41no—
457#137—41no—
458AGL(1,ℤ/8)—21no—
459AGL(1,ℤ/8)—21no—
460AGL(1,ℤ/8)—21no—
461AGL(1,ℤ/8)—21no—
462AGL(1,ℤ/8)—22no—
463AGL(1,ℤ/8)—22no—
464AGL(1,ℤ/8)—41no—
465AGL(1,ℤ/8)—41no—
466#135—21no—
467#135—21no—
468#135—21no—
469#135—21no—
470#135—41no—
471#135—41no—
472C2×Q16—21no—
473C2×Q16—21no—
474C2×Q16D4×C10311yescharacteristic
475C2×SD16—21no—
476C2×SD16—21no—
477C2×SD16—21no—
478C2×SD16—21no—
479C2×SD16—21no—
480C2×SD16—21no—
481C2×SD16—21no—
482C2×SD16—21no—
483C2×SD16—21no—
484C2×SD16—21no—
485C2×SD16D4×C10311yescharacteristic
486C2×SD16D4×C10311yescharacteristic
487C2×D8—21no—
488C2×D8—21no—
489C2×D8D4×C10311yescharacteristic
490#131—22no—
491#131—22no—
492#131—22no—
493#131—22no—
494#131—21no—
495#131—21no—
496#131—21no—
497#131—21no—
498C2×M16—21no—
499C2×M16—41no—
500C2×M16—41no—
501C2×M16C23×C10311yescharacteristic
502C2×M16C23×C10311yescharacteristic
503C2×M16C23×C10311yescharacteristic
504C2×M16C23×C10311yescharacteristic
505C2×M16C23×C10311yescharacteristic
506C2×M16C23×C10311yescharacteristic
507C2×M16C23×C10311yescharacteristic
508C22×C8—21no—
509C22×C8C23×C10311yescharacteristic
510C4⋊Q8—21no—
511#127—21no—
512#124—21no—
513#124—21no—
514#123—22no—
515C22⋊Q8—41no—
516#121—41no—
517#120—22no—
518#117C23×C10311yescharacteristic
519#117C23×C10311yescharacteristic
520#108—22no—
521#108—22no—
522#108—21no—
523#108—21no—
524#108D4×C10312yescomplemented
525#108D4×C10312yescomplemented
526#104—22no—
527#104—22no—
528#103—41no—
529#102—41no—
530#101—21no—
531#101—21no—
532#101—22no—
533#101—22no—
534#101D4×C10312yescomplemented
535#100—21no—
536#100—21no—
537#100—22no—
538#100—22no—
539#100D4×C10312yescomplemented
540#99—22no—
541#97—21no—
542#97—21no—
543C4×C8—21no—
544C4×C8—21no—
545C24—21no—
546#41—21no—
547#41—21no—
548#41—21no—
549#41—21no—
550#41—21no—
551#41—21no—
552#41—21no—
553#41—21no—
554#41—21no—
555#41—21no—
556#41—21no—
557#41—21no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—21no—
562C2×Q8—21no—
563C2×Q8—21no—
564C2×Q8C2×D4×C10311yescharacteristic
565C2×Q8C2×D4×C10311yescharacteristic
566C2×Q8C2×D4×C10311yescharacteristic
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—21no—
574C2×D4—21no—
575C2×D4—21no—
576C2×D4—42no—
577C2×D4C2×D4×C10311yescharacteristic
578C2×D4C2×D4×C10311yescharacteristic
579C2×D4C2×D4×C10311yescharacteristic
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4C24×C10311yescharacteristic
585Q16—21no—
586Q16—21no—
587Q16—42no—
588Q16—42no—
589Q16—41no—
590Q16—41no—
591SD16—21no—
592SD16—21no—
593SD16—21no—
594SD16—21no—
595SD16—42no—
596SD16—42no—
597SD16—42no—
598SD16—42no—
599SD16—41no—
600SD16—41no—
601SD16—41no—
602SD16—41no—
603SD16—41no—
604SD16—41no—
605SD16—41no—
606SD16—41no—
607D8—21no—
608D8—21no—
609D8—42no—
610D8—42no—
611D8—41no—
612D8—41no—
613M16—21no—
614M16—21no—
615M16—21no—
616M16—21no—
617M16—21no—
618M16—21no—
619M16—21no—
620M16—21no—
621M16—21no—
622M16—21no—
623M16—42no—
624M16—42no—
625M16—41no—
626M16—41no—
627M16C2×D4×C10312yes—
628M16C2×D4×C10312yes—
629M16C2×D4×C10312yes—
630M16C2×D4×C10312yes—
631C2×C8—21no—
632C2×C8—21no—
633C2×C8—21no—
634C2×C8—21no—
635C2×C8—21no—
636C2×C8—21no—
637C2×C8—21no—
638C2×C8—42no—
639C2×C8—42no—
640C2×C8—41no—
641C2×C8—41no—
642C2×C8C2×D4×C10311yescharacteristic
643C2×C8C2×D4×C10311yescharacteristic
644C2×C8C2×D4×C10311yescharacteristic
645C2×C8C2×D4×C10311yescharacteristic
646C2×C8#41×C10311yescharacteristic
647C2×C8#41×C10311yescharacteristic
648C4⋊C4—21no—
649C4⋊C4—21no—
650C4⋊C4—42no—
651C22⋊C4—21no—
652C22⋊C4—42no—
653C22⋊C4—42no—
654C22⋊C4#41×C10312yes—
655C42—21no—
656C42—21no—
657C23—21no—
658C23—21no—
659C23—21no—
660C23—41no—
661C23—41no—
662C23—41no—
663C23—161no—
664C23C2×#41×C10311yescharacteristic
665Q8—21no—
666Q8—21no—
667Q8—21no—
668Q8—21no—
669Q8—21no—
670Q8—21no—
671Q8—41no—
672Q8—41no—
673Q8—41no—
674Q8—41no—
675D4—21no—
676D4—21no—
677D4—21no—
678D4—21no—
679D4—21no—
680D4—21no—
681D4—41no—
682D4—41no—
683D4—41no—
684D4—41no—
685D4—41no—
686D4—41no—
687D4—41no—
688D4—41no—
689D4—41no—
690D4—41no—
691D4—162no—
692C2×C4—21no—
693C2×C4—22no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4C22×D4×C10311yescharacteristic
707C2×C4C22×D4×C10311yescharacteristic
708C2×C4C22×D4×C10311yescharacteristic
709C2×C4C2×#41×C10311yescharacteristic
710C2×C4H(5,𝔽2)×C10311yescharacteristic
711C2×C4H(5,𝔽2)×C10311yescharacteristic
712C8—22no—
713C8—22no—
714C8—22no—
715C8—22no—
716C8—41no—
717C8—41no—
718C8—41no—
719C8#121×C10311yescharacteristic
720C8#121×C10311yescharacteristic
721C8#121×C10311yescharacteristic
722C8#121×C10311yescharacteristic
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22—82no—
731C22—81no—
732C22—161no—
733C22—161no—
734C22#532×C10311yescharacteristic
735C22#546×C10311yescharacteristic
736C22#550×C10311yescharacteristic
737C4—42no—
738C4—41no—
739C4—41no—
740C4—41no—
741C4—81no—
742C4—81no—
743C4C2×#121×C10311yescharacteristic
744C4#540×C10311yescharacteristic
745C4D42×C10311yescharacteristic
746C4D42×C10311yescharacteristic
747C2—21no—
748C2—21no—
749C2—21no—
750C2—81no—
751C2—81no—
752C2—81no—
753C2—161no—
754C2C103×#242811yescharacteristic
subgroupG/H
center, socleC2×C103#2428
commutator, Frattini, cosocleC22×C4C24×C103
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×#3154C2semidirect
2. C103×#3069C2semidirect
3. C103×#3068C2semidirect
4. C103×#3067C2semidirect
5. C2×#471×C103C2semidirect
6. C103×#2957C2semidirect
7. C103×#2049C2semidirect
8. C103×#2048C2semidirect
9. C103×#2009C2semidirect
10. C103×#2008C2semidirect
11. C103×#1977C2semidirect
12. C103×#1953C2semidirect
13. C103×#1915C2semidirect
14. C103×#1914C2semidirect
15. C103×#1757C2semidirect
146. #108×C103D4semidirect
147. #108×C103D4semidirect
156. #101×C103D4semidirect
161. #100×C103D4semidirect
369. #25446C103direct (N × H)
378. #3154C2×C103semidirect
379. #3069C2×C103semidirect
380. #3068C2×C103semidirect
381. #3067C2×C103semidirect
382. C2×#471C2×C103semidirect
383. #2957C2×C103semidirect
384. #2049C2×C103semidirect
385. #2048C2×C103semidirect
386. #2009C2×C103semidirect
387. #2008C2×C103semidirect
388. #1977C2×C103semidirect
389. #1953C2×C103semidirect
390. #1915C2×C103semidirect
391. #1914C2×C103semidirect
392. #1757C2×C103semidirect
393. C103#25446direct (N × H)
524. #108D4×C103semidirect
525. #108D4×C103semidirect
534. #101D4×C103semidirect
539. #100D4×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#31542
C103×#30692
C103×#30682
C103×#30672
C2×#471×C1032
C103×#29572
C103×#20492
C103×#20482
C103×#20092
C103×#20082
C103×#19772
C103×#19532
C103×#19152
C103×#19142
C103×#17572
#25446103