Finite Group Databasebeta

← #25988660

Subgroups — #25988660

Order 11008.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149008C211yesmaximal, characteristic, complemented
2#19148485C211yesmaximal, characteristic, complemented
3#19147683C211yesmaximal, characteristic, complemented
4#19147682C211yesmaximal, characteristic, complemented
5#19147669C211yesmaximal, characteristic, complemented
6#19147667C211yesmaximal, characteristic, complemented
7#19147661C211yesmaximal, characteristic, complemented
8#19147660C211yesmaximal, characteristic, complemented
9#19147660C211yesmaximal, characteristic, complemented
10#19147410C211yesmaximal, characteristic, complemented
11#19147407C211yesmaximal, characteristic, complemented
12#19147389C211yesmaximal, characteristic, complemented
13#19147382C211yesmaximal, characteristic, complemented
14#19147339C211yesmaximal, characteristic, complemented
15#19147330C211yesmaximal, characteristic, complemented
16#19147314C211yesmaximal, characteristic, complemented
17#19147309C211yesmaximal, characteristic, complemented
18#19145711C211yesmaximal, characteristic, complemented
19#19145699C211yesmaximal, characteristic, complemented
20#19145696C211yesmaximal, characteristic, complemented
21#19145682C211yesmaximal, characteristic, complemented
22#19145593C211yesmaximal, characteristic, complemented
23#19145580C211yesmaximal, characteristic, complemented
24#19144830C211yesmaximal, characteristic, complemented
25#19144821C211yesmaximal, characteristic, complemented
26#19144783C211yesmaximal, characteristic, complemented
27#19144778C211yesmaximal, characteristic, complemented
28#19144756C211yesmaximal, characteristic, complemented
29#19144744C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3402C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583651—21no—
34#14583634C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583631C2211yescharacteristic
38#14583631C2211yescharacteristic, complemented
39#14583631C2211yescharacteristic, complemented
40Q8×Dic86C2211yescharacteristic, complemented
41Q8×Dic86C2211yescharacteristic, complemented
42#14583623C2211yescharacteristic
43#14583623C2211yescharacteristic, complemented
44#14583621C2211yescharacteristic
45#14583618C2211yescharacteristic
46#14583617—21no—
47#14583576—21no—
48#14583574—21no—
49#14583574—21no—
50#14583573—21no—
51Q8×D172C2211yescharacteristic, complemented
52D4×Dic86C2211yescharacteristic, complemented
53#14583562—21no—
54#14583521C2211yescharacteristic
55#14583521C2211yescharacteristic
56#14583519—21no—
57#14583518C2211yescharacteristic
58#14583518C2211yescharacteristic
59#14583515—21no—
60#14583515—21no—
61#14583515—21no—
62#14583475—21no—
63#14583474C2211yescharacteristic
64#14583472—21no—
65#14583467C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583446C2211yescharacteristic
69#14583432—21no—
70#14583427—21no—
71#124×D43C2211yescharacteristic
72#14583375C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×#10621902C2211yescharacteristic
75#14583292C2211yescharacteristic, complemented
76#14583291C2211yescharacteristic
77#14583289C2211yescharacteristic
78#14583287C2211yescharacteristic
79#14583285C2211yescharacteristic
80#14583285C2211yescharacteristic
81#14583284C2211yescharacteristic
82#14583284C2211yescharacteristic, complemented
83#14583281C2211yescharacteristic, complemented
84#14583260C2211yescharacteristic
85#14583260C2211yescharacteristic
86#14583260C2211yescharacteristic, complemented
87#14583259C2211yescharacteristic
88#14583259C2211yescharacteristic, complemented
89#14583258C2211yescharacteristic
90#14583258C2211yescharacteristic
91#14583257C2211yescharacteristic
92#14583249C2211yescharacteristic, complemented
93#14583248C2211yescharacteristic, complemented
94#14583246C2211yescharacteristic
95#14583244C2211yescharacteristic
96#14583238C2211yescharacteristic
97#14583238C2211yescharacteristic
98#14583226C2211yescharacteristic
99#14583222C2211yescharacteristic
100#14583194C2211yescharacteristic, complemented
101#14583194C2211yescharacteristic, complemented
102#14583193C2211yescharacteristic, complemented
103#14583190C2211yescharacteristic
104#14583190C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic
106#14583185C2211yescharacteristic, complemented
107#14583182C2211yescharacteristic, complemented
108#14583182C2211yescharacteristic, complemented
109#14583179C2211yescharacteristic
110#14583178C2211yescharacteristic
111#14583178C2211yescharacteristic, complemented
112#14583124C2211yescharacteristic, complemented
113#14583123C2211yescharacteristic
114#14583123C2211yescharacteristic
115#14583123C2211yescharacteristic
116#14583123C2211yescharacteristic, complemented
117#14583123C2211yescharacteristic, complemented
118#14583121C2211yescharacteristic, complemented
119#14583119C2211yescharacteristic
120#14583119C2211yescharacteristic
121#14583118C2211yescharacteristic, complemented
122#14583117C2211yescharacteristic
123#14583116C2211yescharacteristic
124#14583116C2211yescharacteristic
125#14583116C2211yescharacteristic, complemented
126#14583115C2211yescharacteristic
127#14583115C2211yescharacteristic, complemented
128#14583114C2211yescharacteristic
129#14583111C2211yescharacteristic
130#14583111C2211yescharacteristic
131#14583111C2211yescharacteristic
132#14583107C2211yescharacteristic, complemented
133#14583102C2211yescharacteristic, complemented
134#14583101C2211yescharacteristic, complemented
135#14583101C2211yescharacteristic, complemented
136#14583099C2211yescharacteristic
137#14583097C2211yescharacteristic
138#14583097C2211yescharacteristic, complemented
139#14583095C2211yescharacteristic
140#14583093C2211yescharacteristic, complemented
141#14583092C2211yescharacteristic
142#14583060C2211yescharacteristic
143#14583060C2211yescharacteristic
144#14583053C2211yescharacteristic
145#14583053C2211yescharacteristic
146#14583048C2211yescharacteristic
147#14583048C2211yescharacteristic
148#14583047C2211yescharacteristic
149#14583043C2211yescharacteristic
150#14583039C2211yescharacteristic
151#14583036C2211yescharacteristic
152#14583034C2211yescharacteristic
153#14583031C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583012C2211yescharacteristic
162#14583012C2211yescharacteristic, complemented
163#14583011C2211yescharacteristic
164#14583009C2211yescharacteristic, complemented
165#14583006C2211yescharacteristic, complemented
166#14583006C2211yescharacteristic, complemented
167#14583006C2211yescharacteristic, complemented
168#14583004C2211yescharacteristic, complemented
169#14583002C2211yescharacteristic
170#14583002C2211yescharacteristic, complemented
171#14583002C2211yescharacteristic, complemented
172#14582997C2211yescharacteristic, complemented
173#14582997C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic, complemented
175#14582991C2211yescharacteristic, complemented
176C4×#10621873C2211yescharacteristic, complemented
177SD16×Dic43C2211yescharacteristic
178SD16×Dic43C2211yescharacteristic, complemented
179C4×#10621884C2211yescharacteristic
180C4×#10621882C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#556C2211yescharacteristic
189C43×#556C2211yescharacteristic, complemented
190C43×#497C2211yescharacteristic
191C43×#497C2211yescharacteristic, complemented
192C43×#495C2211yescharacteristic
193C43×#464C2211yescharacteristic
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#462C2211yescharacteristic, complemented
198C43×#462C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic, complemented
202C4×Q16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C22×Dic86—21no—
206C2×Q8×D43—21no—
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×#10621884C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×D344C2311yescharacteristic
220C2×D344C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224#13063325—21no—
225#13063325—21no—
226#13063325C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063324—21no—
230#13063324—21no—
231#13063324—21no—
232#13063324—21no—
233#13063324D411yescharacteristic
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323D411yescharacteristic
238#13063323C2311yescharacteristic
239#13063322C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063319—21no—
248#13063319—21no—
249#13063319—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063316—21no—
255#13063315D411yescharacteristic
256#13063315D411yescharacteristic
257#13063314—21no—
258#13063314C2311yescharacteristic
259#13063314C2311yescharacteristic
260#13063314C2311yescharacteristic
261#13063314C2311yescharacteristic
262#13063314C2311yescharacteristic
263#13063313—21no—
264#13063313—21no—
265#13063313—21no—
266#13063313C2311yescharacteristic
267#13063313C2311yescharacteristic
268#13063312C2311yescharacteristic
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063309—21no—
287#13063309—21no—
288#13063309—21no—
289#13063309—21no—
290#13063309—21no—
291#13063308—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063305—21no—
297#13063305—21no—
298#13063305—21no—
299#13063305—21no—
300#13063305—21no—
301#13063305—21no—
302#13063305D411yescharacteristic
303#13063304—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303D411yescharacteristic
310#13063303D411yescharacteristic
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063302—21no—
315#13063302—21no—
316#13063301D411yescharacteristic
317#13063301C2311yescharacteristic
318#13063301C2311yescharacteristic
319#13063300C2311yescharacteristic
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063296C2311yescharacteristic
324#13063295—21no—
325#13063295—21no—
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330Q8×Dic43C2311yescharacteristic
331Q8×Dic43C2311yescharacteristic
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86—21no—
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339#13063290—21no—
340#13063290—21no—
341#13063290C2311yescharacteristic
342C4×D172—21no—
343C4×D172—21no—
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352#13063287—21no—
353#13063287—21no—
354#13063287C2311yescharacteristic
355#13063287C2311yescharacteristic
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363#13063283—21no—
364#13063283—21no—
365#13063283—21no—
366#13063283—21no—
367#13063283—21no—
368#13063283C2311yescharacteristic
369#13063282—21no—
370#13063282—21no—
371#13063282C2311yescharacteristic
372#13063282C2311yescharacteristic
373#13063281—21no—
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C42×D43—21no—
379C42×D43C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063256C2311yescharacteristic
387C4⋊(C43⋊C8)C2311yescharacteristic
388C4⋊(C43⋊C8)C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390Dic43⋊C8C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396#13063250C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#126×C43—21no—
447#126×C43—21no—
448#126×C43—21no—
449#126×C43—21no—
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453#124×C43C2311yescharacteristic
454C22⋊Q8×C43—21no—
455C22⋊Q8×C43—21no—
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463#117×C43—21no—
464#117×C43—21no—
465#107×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43C2×D411yescharacteristic
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43C2411yescharacteristic
485C2×D4×C43C2411yescharacteristic
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C22×Dic43—21no—
495C22×Dic43—21no—
496C22×Dic43—21no—
497#10621902—41no—
498#10621902—41no—
499Q8×D43—41no—
500Q8×D43—41no—
501Q8×D43—82no—
502D4×D43—41no—
503D4×D43—41no—
504#10621898—82no—
505C2×D172—21no—
506C2×D172—21no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172C2411yescharacteristic
510C2×D172C2411yescharacteristic
511C2×D172C2411yescharacteristic
512C2×C4×D43—21no—
513C2×C4×D43—21no—
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43C2×D411yescharacteristic
522C2×C4×D43C2×D411yescharacteristic
523C2×C4×D43C2411yescharacteristic
524C2×Dic86—21no—
525C2×Dic86—21no—
526C2×Dic86—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—82no—
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2×D411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—41no—
537Q16×C43—41no—
538Q16×C43—41no—
539Q16×C43—41no—
540SD16×C43—41no—
541SD16×C43—41no—
542SD16×C43—41no—
543SD16×C43—41no—
544D8×C43—41no—
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C42×C43—21no—
573C42×C43—21no—
574C42×C43—21no—
575C42×C43—21no—
576C42×C43C2411yescharacteristic
577C42×C43C2411yescharacteristic
578C42×C43C2411yescharacteristic
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585#10621885—41no—
586#10621885—41no—
587#10621884—41no—
588#10621884—41no—
589#10621884—41no—
590#10621884—41no—
591#10621884—41no—
592#10621884—41no—
593#10621883—41no—
594#10621882—41no—
595#10621882—41no—
596#10621882—41no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679D344—41no—
680D344—41no—
681#10621873—41no—
682C23×C43—21no—
683C23×C43—21no—
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—42no—
688C22×D43—81no—
689C22×D43—81no—
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—41no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—42no—
711C2×C4×C43—81no—
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C2511yescharacteristic
719C22⋊D43—42no—
720C22⋊D43—42no—
721C22⋊D43—81no—
722C22⋊D43—81no—
723C22⋊D43—81no—
724C22⋊D43—81no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—81no—
731C2×Dic43—81no—
732C2×Dic43—81no—
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740D172—21no—
741D172—21no—
742D172—21no—
743D172—21no—
744D172—21no—
745D172—21no—
746D172—42no—
747D172—81no—
748D172—81no—
749D172—81no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—41no—
753C4×D43—41no—
754C4×D43—42no—
755C4×D43—42no—
756C4×D43—42no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763Dic86—21no—
764Dic86—21no—
765Dic86—41no—
766Dic86—41no—
767Dic86—41no—
768Dic86—42no—
769Dic86—42no—
770Dic86—81no—
771Dic86—81no—
772Dic86—81no—
773Dic86—81no—
774Dic86—81no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43—21no—
778C8×C43—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8—21no—
782C43⋊C8—21no—
783#61944—431nomaximal, Sylow
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43C23×D411yescharacteristic
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—21no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—162no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43#58511yescharacteristic
817C4×C43#58511yescharacteristic
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—21no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830#3550—431no—
831#3510—431no—
832#3403—431no—
833#3403—431no—
834#3402—431no—
835#3402D4311yescharacteristic, complemented
836#3401—431no—
837#3401—431no—
838#3401—431no—
839#3401—431no—
840#3375—431no—
841#3375—431no—
842#3373—431no—
843#3373—431no—
844#3369—431no—
845#3369—431no—
846#3367—431no—
847#3367—431no—
848#3225—431no—
849#3225—431no—
850#3224—431no—
851#3224—431no—
852#3215—431no—
853#3213—431no—
854#3121—431no—
855#3121—431no—
856#3118—431no—
857#3118—431no—
858#3116—431no—
859#3115—431no—
860#2987—431no—
861C2×C43—81no—
862C2×C43—81no—
863C2×C43#348711yescharacteristic
864C2×C43#358511yescharacteristic
865C2×C43#358611yescharacteristic
866D43—41no—
867D43—81no—
868D43—81no—
869D43—81no—
870#563—861no—
871#563—861no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559—431no—
876#559—431no—
877#559—431no—
878Q82—431no—
879Q82—431no—
880#556—431no—
881#556—431no—
882#556—431no—
883#556—431no—
884#556—861no—
885#556C2×D4311yescharacteristic
886#556C2×D4311yescharacteristic, complemented
887#551—861no—
888#551—861no—
889#551—861no—
890#551—861no—
891D4×Q8—431no—
892D4×Q8—431no—
893D4×Q8—861no—
894#542—431no—
895#542—431no—
896#542—431no—
897#542—431no—
898#542—861no—
899#542—861no—
900#542—861no—
901#542—861no—
902#536—431no—
903#536—861no—
904#536—861no—
905#535—431no—
906#533—431no—
907#533—431no—
908#532—431no—
909#529—861no—
910#529—861no—
911C2×#124—431no—
912#519—431no—
913#518—431no—
914C4×#41—431no—
915#497—431no—
916#497—431no—
917#497C2×D4311yescharacteristic
918#497C2×D4311yescharacteristic, complemented
919#496—431no—
920#496—431no—
921#496—431no—
922#496—431no—
923#495—431no—
924#495—431no—
925#495—431no—
926#495C2×D4311yescharacteristic
927#489—431no—
928#489—431no—
929#489—431no—
930#489—431no—
931#489—431no—
932#489—431no—
933#489—431no—
934#489—431no—
935#487—431no—
936#487—431no—
937#486—431no—
938#486—431no—
939#485—431no—
940#485—431no—
941#482—431no—
942#482—431no—
943#477—431no—
944#477—431no—
945#477—431no—
946#476—431no—
947#476—431no—
948#476—431no—
949#475—431no—
950#475—431no—
951#475—431no—
952#474—431no—
953#474—431no—
954#474—431no—
955#464—431no—
956#464—431no—
957#464—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#464—431no—
963#464—431no—
964#464—431no—
965#464C2×D4311yescharacteristic
966#464C2×D4311yescharacteristic, complemented
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463—431no—
972#463—431no—
973#463—431no—
974#463—431no—
975#463—431no—
976#463—431no—
977#463C2×D4311yescharacteristic
978#463C2×D4311yescharacteristic
979#462—431no—
980#462C2×D4311yescharacteristic, complemented
981#462C2×D4311yescharacteristic, complemented
982#461—431no—
983#461—431no—
984#461—431no—
985#460—431no—
986#460—431no—
987#460—431no—
988#459—431no—
989#459—431no—
990#459—431no—
991#452—431no—
992#452—431no—
993#451—431no—
994#451—431no—
995#450—431no—
996#450—431no—
997#449—431no—
998#449—431no—
999#448—431no—
1000#448—431no—
1001#447—431no—
1002#447—431no—
1003#446—431no—
1004#446—431no—
1005#446—431no—
1006#446—431no—
1007#446—431no—
1008#446—431no—
1009#446—431no—
1010#446C2×D4311yescharacteristic, complemented
1011#442—431no—
1012#442—431no—
1013#442—431no—
1014#442—431no—
1015#441—431no—
1016#441—431no—
1017#441—431no—
1018#441—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025#440C2×D4311yescharacteristic
1026#440C2×D4311yescharacteristic, complemented
1027C4×Q16—431no—
1028C4×Q16C2×D4311yescharacteristic, complemented
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035#433—431no—
1036#433—431no—
1037#433—431no—
1038#433—431no—
1039#432—431no—
1040#432—431no—
1041C43#6194411yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—861no—
1044C22×Q8—431no—
1045C22×Q8—861no—
1046C22×Q8—861no—
1047C22×D4—431no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16C22×D4311yescharacteristic
1051C2×Q16C22×D4311yescharacteristic
1052C2×Q16C22×D4311yescharacteristic
1053C2×Q16C22×D4311yescharacteristic
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16—431no—
1058C2×SD16—431no—
1059C2×SD16—431no—
1060C2×SD16—431no—
1061C2×SD16—431no—
1062C2×SD16C22×D4311yescharacteristic
1063C2×SD16C22×D4311yescharacteristic
1064C2×SD16C22×D4311yescharacteristic
1065C2×SD16C22×D4311yescharacteristic
1066C2×D8—431no—
1067C2×D8—431no—
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8—431no—
1071C2×D8C22×D4311yescharacteristic
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—431no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8—861no—
1087C4⋊Q8C22×D4311yescharacteristic
1088C4⋊Q8C22×D4311yescharacteristic
1089#127—431no—
1090#127—431no—
1091#127—431no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—431no—
1109#125—431no—
1110#125—861no—
1111#124—431no—
1112#124—431no—
1113#124—431no—
1114#124—431no—
1115#124—431no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—861no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124C22×D4311yescharacteristic
1133#124C22×D4311yescharacteristic
1134#124C22×D4311yescharacteristic
1135#124C22×D4311yescharacteristic
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8—861no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179#121—431no—
1180#121—431no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#120—861no—
1185#120—861no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—861no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4C22×D4311yescharacteristic
1229C4×D4C22×D4311yescharacteristic
1230#117—21no—
1231#117—21no—
1232#117—431no—
1233#117—431no—
1234#117—431no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C22⋊C4—861no—
1246C2×C22⋊C4—861no—
1247C2×C42—431no—
1248C2×C42—861no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107C22×D4311yescharacteristic
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257C4⋊C8—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268C4⋊C8C22×D4311yescharacteristic
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102—431no—
1297#102—431no—
1298#102—431no—
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97C22×D4311yescharacteristic
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8C22×D4311yescharacteristic
1317C24—861no—
1318#41—3442no—
1319#41—1721no—
1320#41—1721no—
1321C2×Q8—431no—
1322C2×Q8—431no—
1323C2×Q8—431no—
1324C2×Q8—431no—
1325C2×Q8—861no—
1326C2×Q8—861no—
1327C2×Q8—861no—
1328C2×Q8—861no—
1329C2×Q8—861no—
1330C2×Q8—861no—
1331C2×Q8—861no—
1332C2×Q8—3442no—
1333C2×Q8—3442no—
1334C2×Q8—1721no—
1335C2×Q8—1721no—
1336C2×Q8D4×D4311yescharacteristic
1337C2×Q8C23×D4311yescharacteristic
1338C2×Q8C23×D4311yescharacteristic
1339C2×Q8C23×D4311yescharacteristic
1340C2×Q8C23×D4311yescharacteristic
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—1721no—
1355C2×D4—1721no—
1356C2×D4C23×D4311yescharacteristic
1357C2×D4C23×D4311yescharacteristic
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375Q16—41no—
1376Q16—41no—
1377Q16—41no—
1378Q16—41no—
1379Q16—1721no—
1380Q16—1721no—
1381SD16—41no—
1382SD16—41no—
1383SD16—41no—
1384SD16—41no—
1385SD16—1721no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393D8—41no—
1394D8—1721no—
1395D8—1721no—
1396D8—1721no—
1397D8—1721no—
1398D8—1721no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8C23×D4311yescharacteristic
1404C2×C8C23×D4311yescharacteristic
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4D4×D4311yescharacteristic
1451C4⋊C4D4×D4311yescharacteristic
1452C4⋊C4D4×D4311yescharacteristic
1453C4⋊C4C23×D4311yescharacteristic
1454C4⋊C4C23×D4311yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—431no—
1466C22⋊C4—431no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—431no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—431no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42C23×D4311yescharacteristic
1519C42C23×D4311yescharacteristic
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—431no—
1524C23—861no—
1525C23—861no—
1526C23—861no—
1527C23—3441no—
1528C23—3441no—
1529C23—1722no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—21no—
1537Q8—21no—
1538Q8—41no—
1539Q8—861no—
1540Q8—861no—
1541Q8—3441no—
1542Q8—3441no—
1543Q8—3441no—
1544Q8—3441no—
1545Q8—3441no—
1546Q8—1721no—
1547Q8—1721no—
1548Q8—1721no—
1549Q8—1722no—
1550Q8—1722no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—861no—
1556D4—861no—
1557D4—861no—
1558D4—861no—
1559D4—861no—
1560D4—861no—
1561D4—3441no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—1722no—
1569D4—1722no—
1570D4—1722no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—42no—
1578C2×C4—81no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—3441no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—1721no—
1603C2×C4—1721no—
1604C2×C4—1722no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4C2×D4×D4311yescharacteristic
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C24×D4311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—861no—
1629C22—861no—
1630C22—861no—
1631C22—1721no—
1632C22—1721no—
1633C22—1721no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—6882no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—861no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4#1458373411yescharacteristic
1667C4#1458373511yescharacteristic
1668C2—81no—
1669C2—81no—
1670C2—3441no—
1671C2—3441no—
1672C2—3441no—
1673C2—1721no—
1674C2#1914824811yescharacteristic
1675C2#1914937211yescharacteristic
1676C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3402C2
socleC22×C43C23×D4
hypercenter#3402D43
hypocenterC43#61944
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3402

Complements

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

NH ≅ G/Ntype
1. #19149008C2semidirect
2. #19148485C2semidirect
3. #19147683C2semidirect
4. #19147682C2semidirect
5. #19147669C2semidirect
6. #19147667C2semidirect
7. #19147661C2semidirect
8. #19147660C2semidirect
9. #19147660C2semidirect
10. #19147410C2semidirect
11. #19147407C2semidirect
12. #19147389C2semidirect
13. #19147382C2semidirect
14. #19147339C2semidirect
15. #19147330C2semidirect
16. #19147314C2semidirect
17. #19147309C2semidirect
18. #19145711C2semidirect
19. #19145699C2semidirect
20. #19145696C2semidirect
21. #19145682C2semidirect
22. #19145593C2semidirect
23. #19145580C2semidirect
24. #19144830C2semidirect
25. #19144821C2semidirect
26. #19144783C2semidirect
27. #19144778C2semidirect
28. #19144756C2semidirect
29. #19144744C2semidirect
30. #19143698C2semidirect
31. C43×#3402C2semidirect
38. #14583631C22semidirect
39. #14583631C22semidirect
40. Q8×Dic86C22semidirect
41. Q8×Dic86C22semidirect
43. #14583623C22semidirect
51. Q8×D172C22semidirect
52. D4×Dic86C22semidirect
75. #14583292C22semidirect
82. #14583284C22semidirect
83. #14583281C22semidirect
86. #14583260C22semidirect
88. #14583259C22semidirect
92. #14583249C22semidirect
93. #14583248C22semidirect
100. #14583194C22semidirect
101. #14583194C22semidirect
102. #14583193C22semidirect
104. #14583190C22semidirect
106. #14583185C22semidirect
107. #14583182C22semidirect
108. #14583182C22semidirect
111. #14583178C22semidirect
112. #14583124C22semidirect
116. #14583123C22semidirect
117. #14583123C22semidirect
118. #14583121C22semidirect
121. #14583118C22semidirect
125. #14583116C22semidirect
127. #14583115C22semidirect
132. #14583107C22semidirect
133. #14583102C22semidirect
134. #14583101C22semidirect
135. #14583101C22semidirect
138. #14583097C22semidirect
140. #14583093C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
162. #14583012C22semidirect
164. #14583009C22semidirect
165. #14583006C22semidirect
166. #14583006C22semidirect
167. #14583006C22semidirect
168. #14583004C22semidirect
170. #14583002C22semidirect
171. #14583002C22semidirect
172. #14582997C22semidirect
173. #14582997C22semidirect
174. #14582996C22semidirect
175. #14582991C22semidirect
176. C4×#10621873C22semidirect
178. SD16×Dic43C22semidirect
189. C43×#556C22semidirect
191. C43×#497C22semidirect
194. C43×#464C22semidirect
197. C43×#462C22semidirect
198. C43×#462C22semidirect
199. C43×#446C22semidirect
201. C43×#440C22semidirect
202. C4×Q16×C43C22semidirect
835. #3402D43semidirect
886. #556C2×D43semidirect
918. #497C2×D43semidirect
966. #464C2×D43semidirect
980. #462C2×D43semidirect
981. #462C2×D43semidirect
1010. #446C2×D43semidirect
1026. #440C2×D43semidirect
1028. C4×Q16C2×D43semidirect
1041. C43#61944semidirect

Maximal subgroups

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

subgroupindex
#191490082
#191484852
#191476832
#191476822
#191476692
#191476672
#191476612
#191476602
#191474102
#191474072
#191473892
#191473822
#191473392
#191473302
#191473142
#191473092
#191457112
#191456992
#191456962
#191456822
#191455932
#191455802
#191448302
#191448212
#191447832
#191447782
#191447562
#191447442
#191436982
C43×#34022
#6194443