Finite Group Databasebeta

← #25973723

Subgroups — #25973723

Order 11008.

2124 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D43C211yesmaximal, characteristic, complemented
2#19148085C211yesmaximal, characteristic
3#19146864C211yesmaximal, characteristic, complemented
4#19146856C211yesmaximal, characteristic, complemented
5#19146814C211yesmaximal, characteristic, complemented
6#19146806C211yesmaximal, characteristic, complemented
7#19146721C211yesmaximal, characteristic, complemented
8#19146693C211yesmaximal, characteristic, complemented
9#19146685C211yesmaximal, characteristic, complemented
10#19146651C211yesmaximal, characteristic, complemented
11#19146643C211yesmaximal, characteristic, complemented
12#19146623C211yesmaximal, characteristic, complemented
13#19146615C211yesmaximal, characteristic, complemented
14#19146483C211yesmaximal, characteristic, complemented
15#19146475C211yesmaximal, characteristic, complemented
16#19146433C211yesmaximal, characteristic, complemented
17#19146425C211yesmaximal, characteristic, complemented
18#19144994C211yesmaximal, characteristic, complemented
19#19144523C211yesmaximal, characteristic, complemented
20#19144517C211yesmaximal, characteristic, complemented
21#19144414C211yesmaximal, characteristic, complemented
22#19144220C211yesmaximal, characteristic, complemented
23#19144218C211yesmaximal, characteristic, complemented
24#19144062C211yesmaximal, characteristic, complemented
25#19143852C211yesmaximal, characteristic, complemented
26#19143852C211yesmaximal, characteristic, complemented
27#19143411C211yesmaximal, characteristic, complemented
28#19143328C211yesmaximal, characteristic, complemented
29#19143110C211yesmaximal, characteristic, complemented
30#417×D43C211yesmaximal, characteristic, complemented
31C43×#3317C211yesmaximal, characteristic, complemented
32C2×#41×D43C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063354C2211yescharacteristic, complemented
37C22×#10621872C2211yescharacteristic, complemented
38C2×M16×D43C2211yescharacteristic, complemented
39#14583591C2211yescharacteristic, complemented
40#14583590C2211yescharacteristic
41#14583589C2211yescharacteristic, complemented
42#14583588C2211yescharacteristic, complemented
43#14583587C2211yescharacteristic
44#14583586—21no—
45#14583585—21no—
46#14583584C2211yescharacteristic, complemented
47#14583583C2211yescharacteristic, complemented
48#14583582—21no—
49#14583581—21no—
50Q8×D172C2211yescharacteristic
51#14583556C2211yescharacteristic
52#14583556C2211yescharacteristic
53#14583554—21no—
54#14583554C2211yescharacteristic
55#14583546—21no—
56#14583546—21no—
57#14583546C2211yescharacteristic
58#14583546C2211yescharacteristic
59#14583534—21no—
60#14583534C2211yescharacteristic
61#14583447—21no—
62#14583447C2211yescharacteristic
63#126×D43—21no—
64#125×D43—21no—
65#125×D43C2211yescharacteristic, complemented
66#14583409—21no—
67#14583409—21no—
68#14583409C2211yescharacteristic
69#14583409C2211yescharacteristic
70#123×D43—21no—
71C22⋊Q8×D43C2211yescharacteristic, complemented
72C22⋊Q8×D43C2211yescharacteristic, complemented
73C4×#10621902C2211yescharacteristic
74C4×Q8×D43C2211yescharacteristic, complemented
75C4×D4×D43—21no—
76C4×D4×D43C2211yescharacteristic
77#117×D43—21no—
78#117×D43C2211yescharacteristic, complemented
79C2×C4⋊C4×D43C2211yescharacteristic, complemented
80#14583269C2211yescharacteristic, complemented
81#14583268C2211yescharacteristic, complemented
82#14583263C2211yescharacteristic, complemented
83#14583252C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583252C2211yescharacteristic, complemented
86#14583252C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583235C2211yescharacteristic, complemented
92#14583234C2211yescharacteristic, complemented
93#14583231C2211yescharacteristic, complemented
94#14583231C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583220C2211yescharacteristic, complemented
98#14583215C2211yescharacteristic, complemented
99#14583211C2211yescharacteristic, complemented
100#14583211C2211yescharacteristic, complemented
101#14583208C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583204C2211yescharacteristic, complemented
104#14583202C2211yescharacteristic, complemented
105#14583200C2211yescharacteristic, complemented
106#14583198C2211yescharacteristic, complemented
107#14583196C2211yescharacteristic, complemented
108#14583158C2211yescharacteristic, complemented
109#14583157C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583144C2211yescharacteristic, complemented
113#14583143C2211yescharacteristic, complemented
114#14583142C2211yescharacteristic, complemented
115#14583141C2211yescharacteristic, complemented
116#14583140C2211yescharacteristic, complemented
117#14583139C2211yescharacteristic, complemented
118#14583138C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583126C2211yescharacteristic, complemented
121#14583125C2211yescharacteristic, complemented
122#14583120C2211yescharacteristic, complemented
123#14583120C2211yescharacteristic, complemented
124#14583119C2211yescharacteristic, complemented
125#14583119C2211yescharacteristic, complemented
126#14583110C2211yescharacteristic, complemented
127#14583109C2211yescharacteristic, complemented
128#14583096C2211yescharacteristic, complemented
129#14583063C2211yescharacteristic, complemented
130#14583063C2211yescharacteristic, complemented
131#14583061C2211yescharacteristic, complemented
132#14583061C2211yescharacteristic, complemented
133#14583059C2211yescharacteristic, complemented
134#14583059C2211yescharacteristic, complemented
135#14583056C2211yescharacteristic, complemented
136#14583056C2211yescharacteristic, complemented
137#14583053C2211yescharacteristic, complemented
138#14583053C2211yescharacteristic, complemented
139#14583051C2211yescharacteristic, complemented
140#14583051C2211yescharacteristic, complemented
141#14583048C2211yescharacteristic, complemented
142#14583048C2211yescharacteristic, complemented
143#14583004C2211yescharacteristic, complemented
144#14583001C2211yescharacteristic, complemented
145#14582997C2211yescharacteristic, complemented
146Q16×Dic43C2211yescharacteristic, complemented
147#14582991C2211yescharacteristic, complemented
148#14582986C2211yescharacteristic, complemented
149#14582984C2211yescharacteristic, complemented
150#14582975C2211yescharacteristic, complemented
151#14582974C2211yescharacteristic, complemented
152#14582972C2211yescharacteristic
153#14582971C2211yescharacteristic, complemented
154#14582969C2211yescharacteristic
155C8×C22⋊D43C2211yescharacteristic, complemented
156(C22⋊D43)⋊C8C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic, complemented
158#14582938C2211yescharacteristic, complemented
159#14582938C2211yescharacteristic, complemented
160#14582921C2211yescharacteristic, complemented
161#14582906C2211yescharacteristic, complemented
162#14582906C2211yescharacteristic, complemented
163#14582906C2211yescharacteristic, complemented
164#14582902C2211yescharacteristic, complemented
165#14582902C2211yescharacteristic, complemented
166#14582901C2211yescharacteristic, complemented
167#14582900C2211yescharacteristic, complemented
168#14582899C2211yescharacteristic
169#14582899C2211yescharacteristic
170#14582899C2211yescharacteristic
171#14582898C2211yescharacteristic, complemented
172#14582897C2211yescharacteristic, complemented
173#14582897C2211yescharacteristic, complemented
174#14582897C2211yescharacteristic, complemented
175#14582897C2211yescharacteristic, complemented
176#14582897C2211yescharacteristic, complemented
177#14582897C2211yescharacteristic, complemented
178#14582896C2211yescharacteristic, complemented
179#14582895C2211yescharacteristic, complemented
180#14582893C2211yescharacteristic, complemented
181#103×D43C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582861C2211yescharacteristic, complemented
186#14582861C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic
190C43×#490C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#452C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C43×#416C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621898C2311yescharacteristic
208C2×#10621900—21no—
209C2×#10621900—21no—
210C2×#10621900C2311yescharacteristic
211C2×#10621900C2311yescharacteristic
212#41×D43—24no—
213#41×D43—24no—
214#41×D43—42no—
215#41×D43—42no—
216C2×Q8×D43C2311yescharacteristic
217C2×Q8×D43C2311yescharacteristic
218C2×Q8×D43C2311yescharacteristic
219C2×D4×D43—21no—
220C2×D4×D43—21no—
221C2×D4×D43—21no—
222C2×D4×D43D411yescharacteristic
223C2×D4×D43C2311yescharacteristic
224C2×D4×D43C2311yescharacteristic
225C22×C4×D43—21no—
226C22×C4×D43—21no—
227C22×C4×D43—21no—
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230#13063357—24no—
231#13063354—42no—
232#13063354—42no—
233C2×Dic172C2311yescharacteristic
234C2×Dic172C2311yescharacteristic
235C2×#10621885C2311yescharacteristic
236C2×#10621885C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621873C2311yescharacteristic
239C2×#10621883C2311yescharacteristic
240C2×#10621883C2311yescharacteristic
241C2×#10621884C2311yescharacteristic
242C2×#10621877C2311yescharacteristic
243C2×#10621872—42no—
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C2×#10621872C2311yescharacteristic
249C2×#10621872C2311yescharacteristic
250M16×D43—42no—
251C22×C43⋊C8C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253C2×C8×D43C2311yescharacteristic
254#13063325—21no—
255#13063325C2311yescharacteristic
256#13063320—21no—
257#13063320—21no—
258#13063320—21no—
259#13063319—21no—
260#13063318—21no—
261#13063318—21no—
262#13063318—21no—
263#13063317—21no—
264#13063317C2311yescharacteristic
265#13063316—21no—
266#13063316—21no—
267#13063316C2311yescharacteristic
268#13063316C2311yescharacteristic
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063315—21no—
274#13063315—21no—
275#13063312—21no—
276#13063312—21no—
277#13063312C2311yescharacteristic
278#13063312C2311yescharacteristic
279#13063310—21no—
280#13063310—21no—
281#13063309—21no—
282#13063308—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063306—21no—
292#13063305—21no—
293#13063305—21no—
294#13063305C2311yescharacteristic
295#13063305C2311yescharacteristic
296#13063305C2311yescharacteristic
297#13063305C2311yescharacteristic
298#13063304—21no—
299#13063304—21no—
300#13063304C2311yescharacteristic
301#13063304C2311yescharacteristic
302#13063304C2311yescharacteristic
303#13063304C2311yescharacteristic
304#13063303—21no—
305#13063303—21no—
306#13063302—21no—
307#13063302—21no—
308#13063301C2311yescharacteristic
309#13063301C2311yescharacteristic
310#13063296—21no—
311#13063296—21no—
312#13063296—21no—
313#13063296—21no—
314#13063296—21no—
315#13063296—21no—
316#13063296—21no—
317#13063296—21no—
318#13063296C2311yescharacteristic
319#13063296C2311yescharacteristic
320#13063293—21no—
321#13063293—21no—
322#13063293—21no—
323#13063293—21no—
324#13063293—21no—
325#13063293—21no—
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328C4×Dic86—21no—
329C4×Dic86C2311yescharacteristic
330#13063290—21no—
331#13063290C2311yescharacteristic
332C4×D172—21no—
333C4×D172—21no—
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43D411yescharacteristic
341#13063287—21no—
342#13063287D411yescharacteristic
343#13063287C2311yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43C2311yescharacteristic
347C4×C22⋊D43C2311yescharacteristic
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4D411yescharacteristic
351(C22⋊D43)⋊C4D411yescharacteristic
352#13063284—21no—
353#13063284C2311yescharacteristic
354#13063283—21no—
355#13063283—21no—
356#13063283—21no—
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366C2×C4⋊Dic43C2311yescharacteristic
367C2×Dic43⋊C4—21no—
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43D411yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C4⋊C4×D43C2311yescharacteristic
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43—21no—
387C22⋊C4×D43D411yescharacteristic
388C22⋊C4×D43D411yescharacteristic
389C42×D43—21no—
390C42×D43—21no—
391C42×D43—21no—
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063236C2311yescharacteristic
442C8×Dic43C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C2×Q16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×M16×C43C2311yescharacteristic
450C22×C8×C43C2311yescharacteristic
451#127×C43—21no—
452#127×C43C2311yescharacteristic
453#126×C43—21no—
454#125×C43—21no—
455#125×C43C2311yescharacteristic
456#123×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458C22⋊Q8×C43C2311yescharacteristic
459#121×C43—21no—
460#121×C43—21no—
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×Q8×C43C2311yescharacteristic
465C4×D4×C43—21no—
466C4×D4×C43C2311yescharacteristic
467#117×C43—21no—
468#117×C43C2311yescharacteristic
469C2×C4⋊C4×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43—21no—
489C23×D43C2×D411yescharacteristic
490C23×D43C2×D411yescharacteristic
491#41×C43—22no—
492#41×C43—22no—
493#41×C43—41no—
494#41×C43—41no—
495C2×Q8×C43C2411yescharacteristic
496C2×Q8×C43C2411yescharacteristic
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43C2×D411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2411yescharacteristic
510C22×C4×C43C2411yescharacteristic
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43C2×D411yescharacteristic
520C2×C22⋊D43C2×D411yescharacteristic
521C22×Dic43—21no—
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43C2×D411yescharacteristic
525C22×Dic43C2×D411yescharacteristic
526#10621902—22no—
527#10621902#4114yes—
528Q8×D43—22no—
529Q8×D43—22no—
530Q8×D43—22no—
531Q8×D43—22no—
532Q8×D43—41no—
533Q8×D43—41no—
534#10621900—22no—
535#10621900—22no—
536#10621900—22no—
537#10621900—22no—
538#10621900—44no—
539#10621900—44no—
540D4×D43—22no—
541D4×D43—22no—
542D4×D43—42no—
543D4×D43—44no—
544D4×D43—44no—
545D4×D43—41no—
546D4×D43—41no—
547D4×D43—44no—
548#10621898—22no—
549#10621898—22no—
550#10621898—41no—
551#10621898—41no—
552#10621898—44no—
553#10621898—44no—
554C2×D172—21no—
555C2×D172C2×D411yescharacteristic
556C2×D172C2411yescharacteristic
557C2×C4×D43—21no—
558C2×C4×D43—22no—
559C2×C4×D43—22no—
560C2×C4×D43—22no—
561C2×C4×D43—22no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43—21no—
565C2×C4×D43—21no—
566C2×C4×D43—21no—
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—44no—
575C2×C4×D43—44no—
576C2×C4×D43—44no—
577C2×C4×D43C2×D411yescharacteristic
578C2×C4×D43C2×D411yescharacteristic
579C2×C4×D43C2×D411yescharacteristic
580C2×C4×D43C2×D411yescharacteristic
581C2×C4×D43C2×D411yescharacteristic
582C2×C4×D43C2×D411yescharacteristic
583C2×C4×D43C2411yescharacteristic
584C2×C4×D43C2411yescharacteristic
585C2×C4×D43C2411yescharacteristic
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—21no—
589C2×Dic86C2411yescharacteristic
590C2×Dic86C2411yescharacteristic
591C2×Dic86C2411yescharacteristic
592Q16×C43—22no—
593SD16×C43—41no—
594SD16×C43—41no—
595M16×C43—41no—
596C2×C8×C43—41no—
597C2×C8×C43C2411yescharacteristic
598C2×C8×C43C2411yescharacteristic
599C2×C8×C43C2411yescharacteristic
600C2×C8×C43C2411yescharacteristic
601C4⋊C4×C43—21no—
602C4⋊C4×C43—21no—
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43C2×D411yescharacteristic
609C4⋊C4×C43C2411yescharacteristic
610C4⋊C4×C43C2411yescharacteristic
611C4⋊C4×C43C2411yescharacteristic
612C4⋊C4×C43C2411yescharacteristic
613C22⋊C4×C43—21no—
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43C2×D411yescharacteristic
619C22⋊C4×C43C2×D411yescharacteristic
620C42×C43—21no—
621C42×C43—21no—
622C42×C43—21no—
623C42×C43C2411yescharacteristic
624C22⋊Dic43—21no—
625C22⋊Dic43—21no—
626C22⋊Dic43—21no—
627C22⋊Dic43—21no—
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43C2×D411yescharacteristic
636C22⋊Dic43C2×D411yescharacteristic
637#10621885—22no—
638#10621885—41no—
639#10621885—41no—
640#10621884—22no—
641#10621883—41no—
642#10621883—41no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4C2×D411yescharacteristic
655(C2×D43)⋊C4C2×D411yescharacteristic
656(C2×D43)⋊C4C2×D411yescharacteristic
657(C2×D43)⋊C4C2×D411yescharacteristic
658C4⋊Dic43—21no—
659C4⋊Dic43—21no—
660C4⋊Dic43—21no—
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⋊Dic43C2×D411yescharacteristic
670C4⋊Dic43C2411yescharacteristic
671C4⋊Dic43C2411yescharacteristic
672C4⋊Dic43C2411yescharacteristic
673C4⋊Dic43C2411yescharacteristic
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4C2×D411yescharacteristic
692Dic43⋊C4C2×D411yescharacteristic
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43C2×D411yescharacteristic
702C4×Dic43C2×D411yescharacteristic
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705C2×C43⋊C8—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710Dic172—41no—
711Dic172—41no—
712#10621873—22no—
713#10621872—22no—
714#10621872—22no—
715#10621872—22no—
716#10621872—22no—
717#10621872—41no—
718#10621872—41no—
719C8×D43—41no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43C22×D411yescharacteristic
724C23×C43C22×D411yescharacteristic
725C22×D43—21no—
726C22×D43—22no—
727C22×D43—22no—
728C22×D43—22no—
729C22×D43—41no—
730C22×D43—41no—
731C22×D43—41no—
732C22×D43—42no—
733C22×D43—42no—
734C22×D43—42no—
735C22×D43—42no—
736C22×D43—81no—
737C22×D43—81no—
738C22×D43C22×D411yescharacteristic
739C22×D43C22×D411yescharacteristic
740C22×D43C22×D411yescharacteristic
741Q8×C43—21no—
742Q8×C43—21no—
743Q8×C43—21no—
744Q8×C43C2×#4112yes—
745D4×C43—21no—
746D4×C43—21no—
747D4×C43—21no—
748D4×C43—21no—
749D4×C43—41no—
750D4×C43—42no—
751D4×C43—42no—
752D4×C43—42no—
753D4×C43—81no—
754D4×C43—81no—
755D4×C43—81no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—42no—
767C2×C4×C43—42no—
768C2×C4×C43—42no—
769C2×C4×C43C22×D411yescharacteristic
770C2×C4×C43C22×D411yescharacteristic
771C2×C4×C43C22×D411yescharacteristic
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C2511yescharacteristic
774C22⋊D43—22no—
775C22⋊D43—41no—
776C22⋊D43—42no—
777C22⋊D43—42no—
778C22⋊D43—42no—
779C22⋊D43—42no—
780C22⋊D43—42no—
781C22⋊D43—42no—
782C22⋊D43—42no—
783C22⋊D43—42no—
784C2×Dic43—22no—
785C2×Dic43—22no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—42no—
794C2×Dic43—42no—
795C2×Dic43—42no—
796C2×Dic43C22×D411yescharacteristic
797C2×Dic43C22×D411yescharacteristic
798C2×Dic43C22×D411yescharacteristic
799C2×Dic43C22×D411yescharacteristic
800C2×Dic43C22×D411yescharacteristic
801D172—24no—
802D172—22no—
803D172—21no—
804D172C2×#4112yes—
805C4×D43—22no—
806C4×D43—22no—
807C4×D43—21no—
808C4×D43—21no—
809C4×D43—21no—
810C4×D43—21no—
811C4×D43—22no—
812C4×D43—22no—
813C4×D43—24no—
814C4×D43—41no—
815C4×D43—41no—
816C4×D43—42no—
817C4×D43—42no—
818C4×D43—42no—
819C4×D43—42no—
820C4×D43—42no—
821C4×D43—42no—
822C4×D43—42no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—42no—
827C4×D43—81no—
828C4×D43C2×#4112yes—
829C4×D43H(5,𝔽2)12yes—
830Dic86—21no—
831Dic86—21no—
832Dic86—21no—
833Dic86—21no—
834Dic86—21no—
835Dic86—21no—
836Dic86—42no—
837Dic86—42no—
838Dic86—42no—
839C8×C43—21no—
840C8×C43—21no—
841C8×C43—21no—
842C8×C43—21no—
843C43⋊C8—21no—
844C43⋊C8—21no—
845C43⋊C8—21no—
846C43⋊C8—21no—
847#61163—431nomaximal, Sylow
848C22×C43—21no—
849C22×C43—21no—
850C22×C43—21no—
851C22×C43—21no—
852C22×C43—21no—
853C22×C43—21no—
854C22×C43—41no—
855C22×C43—41no—
856C22×C43—41no—
857C22×C43—41no—
858C22×C43—41no—
859C22×C43—41no—
860C22×C43C23×D411yescharacteristic
861C2×D43—21no—
862C2×D43—21no—
863C2×D43—21no—
864C2×D43—21no—
865C2×D43—21no—
866C2×D43—21no—
867C2×D43—22no—
868C2×D43—21no—
869C2×D43—44no—
870C2×D43—41no—
871C2×D43—41no—
872C2×D43—82no—
873C2×D43—84no—
874C2×D43—84no—
875C2×D43#54612yes—
876C2×D43#57512yes—
877C4×C43—21no—
878C4×C43—22no—
879C4×C43—21no—
880C4×C43—21no—
881C4×C43—21no—
882C4×C43—41no—
883C4×C43—41no—
884C4×C43—41no—
885C4×C43—41no—
886C4×C43—41no—
887C4×C43C22×#4111yescharacteristic
888C4×C43C2×H(5,𝔽2)11yescharacteristic
889Dic43—21no—
890Dic43—21no—
891Dic43—21no—
892Dic43—21no—
893Dic43—41no—
894Dic43—41no—
895Dic43—41no—
896Dic43—41no—
897Dic43—41no—
898Dic43—41no—
899Dic43—41no—
900Dic43#54612yes—
901C2×#552—431no—
902D4×#41—431no—
903#3327—431no—
904#3327—431no—
905#3323—431no—
906#3323—431no—
907#3317—431no—
908#3317D4311yescharacteristic, complemented
909#3315—431no—
910#3315—431no—
911#3312—431no—
912#3312—431no—
913#3310—431no—
914#3310—431no—
915#3300—431no—
916#3300—431no—
917#3296—431no—
918#3296—431no—
919#3142—431no—
920#3093—431no—
921#3092—431no—
922#3080—431no—
923#3056—431no—
924#3056—431no—
925#3037—431no—
926#3007—431no—
927#3007—431no—
928C4×#137—431no—
929D4×M16—431no—
930#2896—431no—
931C2×#417—431no—
932C2×C43—41no—
933C2×C43—41no—
934C2×C43—81no—
935C2×C43—81no—
936C2×C43C2×#54611yescharacteristic
937C2×C43C2×#57511yescharacteristic
938C2×C43#358611yescharacteristic
939D43—22no—
940D43—22no—
941D43—41no—
942D43—42no—
943C22×#41—431no—
944C22×#41—431no—
945C2×#137—431no—
946C2×#137—431no—
947C2×#137—431no—
948C22×M16—431no—
949C22×M16—431no—
950#552—431no—
951#552—431no—
952#552—431no—
953#552—431no—
954#552—431no—
955#552—431no—
956#552—431no—
957#552—861no—
958#552—861no—
959#552—861no—
960#552—861no—
961#552C2×D4311yescharacteristic, complemented
962#550C2×D4311yescharacteristic
963D4×Q8—431no—
964#548—431no—
965#548—431no—
966#547—431no—
967#547—861no—
968#546—431no—
969#546—431no—
970#546—861no—
971#546—861no—
972D42—431no—
973D42—861no—
974#532—431no—
975#532—861no—
976C2×#126—861no—
977C2×#125—431no—
978C2×#125—861no—
979#525—431no—
980#525—431no—
981#525—861no—
982#525—861no—
983C2×#123—861no—
984C2×C22⋊Q8—431no—
985C2×C22⋊Q8—431no—
986C4×#41—431no—
987C2×C4×Q8—431no—
988C2×C4×D4—431no—
989C2×C4×D4—861no—
990C2×#117—431no—
991C2×#117—861no—
992C22×C4⋊C4—431no—
993#491—431no—
994#491—431no—
995#490—431no—
996#490C2×D4311yescharacteristic, complemented
997#488—431no—
998#488—431no—
999#488—431no—
1000#488—431no—
1001#485—431no—
1002#485—431no—
1003#485—431no—
1004#485—431no—
1005#484—431no—
1006#484—431no—
1007#483—431no—
1008#483—431no—
1009#482—431no—
1010#482—431no—
1011#482—431no—
1012#482C2×D4311yescharacteristic, complemented
1013#481—431no—
1014#481C2×D4311yescharacteristic, complemented
1015#480—431no—
1016#480—431no—
1017#479—431no—
1018#479—431no—
1019#479—431no—
1020#479C2×D4311yescharacteristic, complemented
1021#478—431no—
1022#478—431no—
1023#478—431no—
1024#478—431no—
1025#470—431no—
1026#470—431no—
1027#470—431no—
1028#470—431no—
1029#468—431no—
1030#468—431no—
1031#468—431no—
1032#468C2×D4311yescharacteristic, complemented
1033#467—431no—
1034#467—431no—
1035#467—431no—
1036#467—431no—
1037#465—431no—
1038#465—431no—
1039#465—431no—
1040#465C2×D4311yescharacteristic, complemented
1041#464—431no—
1042#464—431no—
1043#464—431no—
1044#464—431no—
1045#462—431no—
1046#462—431no—
1047#460—431no—
1048#460C2×D4311yescharacteristic, complemented
1049#452—431no—
1050#452—431no—
1051#452—431no—
1052#452—431no—
1053#452—431no—
1054#452—431no—
1055#452C2×D4311yescharacteristic, complemented
1056#452C2×D4311yescharacteristic, complemented
1057#451—431no—
1058#451—431no—
1059#451—431no—
1060#451—431no—
1061#450—431no—
1062#450—431no—
1063#450—431no—
1064#450—431no—
1065#441—431no—
1066#441C2×D4311yescharacteristic, complemented
1067#440—431no—
1068#440—431no—
1069C4×Q16—431no—
1070C4×Q16—431no—
1071C4×SD16—431no—
1072C4×SD16—431no—
1073#436—431no—
1074#436—431no—
1075#435—431no—
1076#435—431no—
1077#435—431no—
1078#435C2×D4311yescharacteristic, complemented
1079C8×D4—431no—
1080C8×D4—431no—
1081#428—431no—
1082#428—431no—
1083#428—431no—
1084#423—431no—
1085#419—431no—
1086#419—431no—
1087#419—431no—
1088#418—431no—
1089#418—431no—
1090#417—431no—
1091#417—431no—
1092#417—431no—
1093#417—431no—
1094#417—431no—
1095#417—431no—
1096#417—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417—431no—
1102#417C2×D4311yescharacteristic, complemented
1103#416—431no—
1104#416—431no—
1105#416—431no—
1106#416C2×D4311yescharacteristic, complemented
1107C2×#103—431no—
1108C2×#103—431no—
1109C2×#102—431no—
1110C2×#102—431no—
1111#407—431no—
1112#407—431no—
1113C4×M16—431no—
1114C43#6116311yescharacteristic, complemented, Sylow
1115C2×#41—431no—
1116C2×#41—431no—
1117C2×#41—431no—
1118C2×#41—431no—
1119C2×#41—431no—
1120C2×#41—861no—
1121C2×#41—861no—
1122C2×#41—861no—
1123C2×#41—861no—
1124C2×#41—864no—
1125C2×#41—864no—
1126C2×#41—1722no—
1127C2×#41—1722no—
1128C2×#41C22×D4311yescharacteristic
1129C2×#41C22×D4311yescharacteristic
1130C22×Q8—431no—
1131C22×Q8—431no—
1132C22×Q8—431no—
1133C22×D4—431no—
1134C22×D4—431no—
1135C22×D4—431no—
1136C22×D4—861no—
1137C22×D4—861no—
1138C22×D4—861no—
1139C23×C4—431no—
1140C23×C4—431no—
1141C23×C4—861no—
1142C23×C4—861no—
1143C23×C4—861no—
1144#137—864no—
1145#137—1722no—
1146#137—1722no—
1147C2×Q16—431no—
1148C2×Q16—431no—
1149C2×Q16—431no—
1150C2×Q16—431no—
1151C2×Q16—431no—
1152C2×Q16C22×D4311yescharacteristic
1153C2×SD16—431no—
1154C2×SD16—431no—
1155C2×SD16—431no—
1156C2×SD16—431no—
1157C2×SD16C22×D4311yescharacteristic
1158C2×SD16C22×D4311yescharacteristic
1159C2×M16—431no—
1160C2×M16—431no—
1161C2×M16—431no—
1162C2×M16—431no—
1163C2×M16—431no—
1164C2×M16—431no—
1165C2×M16—431no—
1166C2×M16—1722no—
1167C2×M16—1722no—
1168C2×M16C22×D4311yescharacteristic
1169C22×C8—431no—
1170C22×C8—431no—
1171C22×C8—431no—
1172C22×C8C22×D4311yescharacteristic
1173C4⋊Q8—431no—
1174C4⋊Q8—861no—
1175#127—21no—
1176#127C22×D4311yescharacteristic
1177#126—21no—
1178#126—861no—
1179#126—861no—
1180#126—861no—
1181#126—861no—
1182#126—861no—
1183#126—861no—
1184#126—861no—
1185#125—21no—
1186#125—431no—
1187#125—431no—
1188#125—431no—
1189#125—861no—
1190#125—861no—
1191#125—861no—
1192#125—861no—
1193#125—861no—
1194#125—861no—
1195#125—861no—
1196#125—861no—
1197#125—861no—
1198#125C22×D4311yescharacteristic
1199#124—431no—
1200#124—431no—
1201#124—861no—
1202#124—861no—
1203#123—21no—
1204#123—861no—
1205#123—861no—
1206#123—861no—
1207#123—861no—
1208#123—861no—
1209#123—861no—
1210#123—861no—
1211#123—861no—
1212#123—861no—
1213#123—861no—
1214#123—861no—
1215#123—861no—
1216#123—861no—
1217C22⋊Q8—431no—
1218C22⋊Q8—431no—
1219C22⋊Q8—431no—
1220C22⋊Q8—431no—
1221C22⋊Q8—431no—
1222C22⋊Q8—431no—
1223C22⋊Q8—431no—
1224C22⋊Q8—431no—
1225C22⋊Q8—431no—
1226C22⋊Q8—431no—
1227C22⋊Q8—861no—
1228C22⋊Q8—861no—
1229C22⋊Q8—861no—
1230C22⋊Q8—861no—
1231C22⋊Q8—861no—
1232C22⋊Q8—861no—
1233C22⋊Q8—861no—
1234C22⋊Q8—861no—
1235C22⋊Q8C22×D4311yescharacteristic
1236C22⋊Q8C22×D4311yescharacteristic
1237#121—21no—
1238#121—21no—
1239#121—431no—
1240#121—431no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121C22×D4311yescharacteristic
1250#121C22×D4311yescharacteristic
1251#120—861no—
1252#120—861no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257C4×Q8—431no—
1258C4×Q8—431no—
1259C4×Q8—431no—
1260C4×Q8—431no—
1261C4×Q8—861no—
1262C4×Q8—861no—
1263C4×Q8C22×D4311yescharacteristic
1264C4×Q8C22×D4311yescharacteristic
1265C4×D4—21no—
1266C4×D4—431no—
1267C4×D4—431no—
1268C4×D4—431no—
1269C4×D4—431no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—861no—
1276C4×D4—861no—
1277C4×D4—861no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4C22×D4311yescharacteristic
1287#117—21no—
1288#117—431no—
1289#117—431no—
1290#117—431no—
1291#117—431no—
1292#117—861no—
1293#117—861no—
1294#117—861no—
1295#117—861no—
1296#117—861no—
1297#117—861no—
1298#117—861no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117C22×D4311yescharacteristic
1303C2×C4⋊C4—431no—
1304C2×C4⋊C4—431no—
1305C2×C4⋊C4—431no—
1306C2×C4⋊C4—431no—
1307C2×C4⋊C4—431no—
1308C2×C4⋊C4—431no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4—861no—
1312C2×C4⋊C4—861no—
1313C2×C4⋊C4—861no—
1314C2×C4⋊C4—861no—
1315C2×C4⋊C4—861no—
1316C2×C4⋊C4—861no—
1317C2×C4⋊C4—861no—
1318C2×C4⋊C4—861no—
1319C2×C4⋊C4C22×D4311yescharacteristic
1320C2×C22⋊C4—431no—
1321C2×C22⋊C4—431no—
1322C2×C22⋊C4—861no—
1323C2×C22⋊C4—861no—
1324C2×C22⋊C4—861no—
1325C2×C22⋊C4—861no—
1326C2×C22⋊C4—861no—
1327C2×C42—431no—
1328C2×C42—861no—
1329C2×C42—861no—
1330C2×C42—861no—
1331#107—431no—
1332#107—431no—
1333#107—431no—
1334#107—431no—
1335#107—431no—
1336#107C22×D4311yescharacteristic
1337#106—431no—
1338#106—431no—
1339#106—431no—
1340#106—431no—
1341#106C22×D4311yescharacteristic
1342#106C22×D4311yescharacteristic
1343C4⋊C8—431no—
1344C4⋊C8—431no—
1345C4⋊C8—431no—
1346C4⋊C8C22×D4311yescharacteristic
1347#103—431no—
1348#103—431no—
1349#103—431no—
1350#103—431no—
1351#103—431no—
1352#103—431no—
1353#103—431no—
1354#103—431no—
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103C22×D4311yescharacteristic
1366#103C22×D4311yescharacteristic
1367#103C22×D4311yescharacteristic
1368#103C22×D4311yescharacteristic
1369#102—431no—
1370#102—431no—
1371#102—431no—
1372#102—431no—
1373#102—431no—
1374#102—431no—
1375#102—431no—
1376#102—431no—
1377#102—431no—
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102C22×D4311yescharacteristic
1382#102C22×D4311yescharacteristic
1383#102C22×D4311yescharacteristic
1384#102C22×D4311yescharacteristic
1385#102C22×D4311yescharacteristic
1386#102C22×D4311yescharacteristic
1387C22⋊C8—431no—
1388C22⋊C8—431no—
1389C22⋊C8—431no—
1390C22⋊C8—431no—
1391C22⋊C8—431no—
1392C22⋊C8—431no—
1393C22⋊C8C22×D4311yescharacteristic
1394C22⋊C8C22×D4311yescharacteristic
1395#97—431no—
1396#97C22×D4311yescharacteristic
1397C4×C8—431no—
1398C4×C8—431no—
1399C24—431no—
1400C24—431no—
1401C24—861no—
1402C24—861no—
1403#41—22no—
1404#41—22no—
1405#41—41no—
1406#41—41no—
1407#41—434no—
1408#41—862no—
1409#41—862no—
1410#41—862no—
1411#41—862no—
1412#41—862no—
1413#41—862no—
1414#41—862no—
1415#41—1721no—
1416#41—1721no—
1417#41—1724no—
1418#41—1724no—
1419#41—1724no—
1420#41—1724no—
1421C2×Q8—431no—
1422C2×Q8—431no—
1423C2×Q8—431no—
1424C2×Q8—861no—
1425C2×Q8—861no—
1426C2×Q8—861no—
1427C2×Q8—862no—
1428C2×Q8—862no—
1429C2×Q8—862no—
1430C2×Q8—862no—
1431C2×Q8—1721no—
1432C2×Q8—1721no—
1433C2×Q8C23×D4311yescharacteristic
1434C2×Q8C23×D4311yescharacteristic
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—431no—
1442C2×D4—431no—
1443C2×D4—431no—
1444C2×D4—431no—
1445C2×D4—861no—
1446C2×D4—861no—
1447C2×D4—861no—
1448C2×D4—862no—
1449C2×D4—862no—
1450C2×D4—861no—
1451C2×D4—861no—
1452C2×D4—861no—
1453C2×D4—861no—
1454C2×D4—861no—
1455C2×D4—861no—
1456C2×D4—1721no—
1457C2×D4—1721no—
1458C2×D4—1722no—
1459C2×D4—1724no—
1460C2×D4—1724no—
1461C2×D4—1724no—
1462C2×D4D4×D4311yescharacteristic
1463C2×D4C23×D4311yescharacteristic
1464C2×D4C23×D4311yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—431no—
1469C22×C4—431no—
1470C22×C4—431no—
1471C22×C4—431no—
1472C22×C4—431no—
1473C22×C4—431no—
1474C22×C4—431no—
1475C22×C4—431no—
1476C22×C4—431no—
1477C22×C4—431no—
1478C22×C4—431no—
1479C22×C4—861no—
1480C22×C4—862no—
1481C22×C4—862no—
1482C22×C4—862no—
1483C22×C4—862no—
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—1724no—
1500C22×C4—1724no—
1501C22×C4—1724no—
1502C22×C4C23×D4311yescharacteristic
1503C22×C4C23×D4311yescharacteristic
1504Q16—22no—
1505Q16—862no—
1506Q16—1721no—
1507Q16—1721no—
1508Q16—1721no—
1509Q16—1721no—
1510SD16—41no—
1511SD16—41no—
1512SD16—862no—
1513SD16—862no—
1514SD16—1721no—
1515SD16—1721no—
1516M16—41no—
1517M16—862no—
1518M16—862no—
1519M16—862no—
1520M16—862no—
1521M16—1721no—
1522M16—1721no—
1523M16—1721no—
1524C2×C8—41no—
1525C2×C8—431no—
1526C2×C8—431no—
1527C2×C8—431no—
1528C2×C8—431no—
1529C2×C8—1721no—
1530C2×C8—1721no—
1531C2×C8—1721no—
1532C2×C8C23×D4311yescharacteristic
1533C2×C8C23×D4311yescharacteristic
1534C2×C8C23×D4311yescharacteristic
1535C2×C8C23×D4311yescharacteristic
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—431no—
1544C4⋊C4—431no—
1545C4⋊C4—431no—
1546C4⋊C4—431no—
1547C4⋊C4—431no—
1548C4⋊C4—431no—
1549C4⋊C4—431no—
1550C4⋊C4—861no—
1551C4⋊C4—861no—
1552C4⋊C4—861no—
1553C4⋊C4—861no—
1554C4⋊C4—861no—
1555C4⋊C4—861no—
1556C4⋊C4—861no—
1557C4⋊C4—861no—
1558C4⋊C4—861no—
1559C4⋊C4—861no—
1560C4⋊C4—861no—
1561C4⋊C4—861no—
1562C4⋊C4—861no—
1563C4⋊C4—861no—
1564C4⋊C4—861no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4D4×D4311yescharacteristic
1579C4⋊C4C23×D4311yescharacteristic
1580C4⋊C4C23×D4311yescharacteristic
1581C4⋊C4C23×D4311yescharacteristic
1582C4⋊C4C23×D4311yescharacteristic
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—431no—
1589C22⋊C4—431no—
1590C22⋊C4—431no—
1591C22⋊C4—431no—
1592C22⋊C4—431no—
1593C22⋊C4—431no—
1594C22⋊C4—861no—
1595C22⋊C4—861no—
1596C22⋊C4—861no—
1597C22⋊C4—861no—
1598C22⋊C4—861no—
1599C22⋊C4—861no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4—861no—
1607C22⋊C4—861no—
1608C22⋊C4—861no—
1609C22⋊C4—861no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4D4×D4311yescharacteristic
1617C22⋊C4D4×D4311yescharacteristic
1618C42—21no—
1619C42—21no—
1620C42—21no—
1621C42—431no—
1622C42—431no—
1623C42—431no—
1624C42—861no—
1625C42—861no—
1626C42—861no—
1627C42—861no—
1628C42—861no—
1629C42—861no—
1630C42—861no—
1631C42—861no—
1632C42C23×D4311yescharacteristic
1633C23—21no—
1634C23—21no—
1635C23—431no—
1636C23—431no—
1637C23—431no—
1638C23—862no—
1639C23—862no—
1640C23—862no—
1641C23—861no—
1642C23—3441no—
1643C23—3441no—
1644C23—1721no—
1645C23—1721no—
1646C23—1721no—
1647C23—1722no—
1648C23—1722no—
1649C23—1722no—
1650C23—1722no—
1651C23C2×D4×D4311yescharacteristic
1652C23C2×D4×D4311yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—861no—
1657Q8—861no—
1658Q8—861no—
1659Q8—861no—
1660Q8—861no—
1661Q8—861no—
1662Q8—1722no—
1663Q8—1722no—
1664Q8—1722no—
1665Q8#41×D4312yes—
1666D4—21no—
1667D4—21no—
1668D4—21no—
1669D4—21no—
1670D4—41no—
1671D4—42no—
1672D4—42no—
1673D4—42no—
1674D4—81no—
1675D4—81no—
1676D4—81no—
1677D4—432no—
1678D4—862no—
1679D4—864no—
1680D4—862no—
1681D4—861no—
1682D4—1721no—
1683D4—1722no—
1684D4—1722no—
1685D4—1722no—
1686D4—1722no—
1687D4—1722no—
1688D4—1722no—
1689D4—1722no—
1690D4—1722no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—431no—
1705C2×C4—432no—
1706C2×C4—432no—
1707C2×C4—431no—
1708C2×C4—431no—
1709C2×C4—431no—
1710C2×C4—431no—
1711C2×C4—862no—
1712C2×C4—862no—
1713C2×C4—864no—
1714C2×C4—862no—
1715C2×C4—862no—
1716C2×C4—862no—
1717C2×C4—862no—
1718C2×C4—861no—
1719C2×C4—861no—
1720C2×C4—861no—
1721C2×C4—861no—
1722C2×C4—861no—
1723C2×C4—861no—
1724C2×C4—861no—
1725C2×C4—861no—
1726C2×C4—861no—
1727C2×C4—861no—
1728C2×C4—861no—
1729C2×C4—3441no—
1730C2×C4—1721no—
1731C2×C4—1721no—
1732C2×C4—1722no—
1733C2×C4—1722no—
1734C2×C4—1722no—
1735C2×C4—1722no—
1736C2×C4—1722no—
1737C2×C4—1722no—
1738C2×C4—1722no—
1739C2×C4—1722no—
1740C2×C4—1722no—
1741C2×C4—1722no—
1742C2×C4—1722no—
1743C2×C4—1722no—
1744C2×C4—1722no—
1745C2×C4—1722no—
1746C2×C4C2×D4×D4311yescharacteristic
1747C2×C4C2×D4×D4311yescharacteristic
1748C2×C4C2×D4×D4311yescharacteristic
1749C2×C4C2×D4×D4311yescharacteristic
1750C2×C4C24×D4311yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—861no—
1756C8—861no—
1757C8—861no—
1758C8—861no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—432no—
1772C22—432no—
1773C22—861no—
1774C22—861no—
1775C22—861no—
1776C22—861no—
1777C22—861no—
1778C22—862no—
1779C22—861no—
1780C22—861no—
1781C22—3442no—
1782C22—3444no—
1783C22—3444no—
1784C22—1724no—
1785C22—1721no—
1786C22—1721no—
1787C22C22×D4×D4311yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—22no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—432no—
1799C4—861no—
1800C4—861no—
1801C4—861no—
1802C4—861no—
1803C4—1721no—
1804C4—1721no—
1805C4—1721no—
1806C4—1721no—
1807C4—1721no—
1808C4—1721no—
1809C4—1721no—
1810C4C2×#41×D4311yescharacteristic
1811C4H(5,𝔽2)×D4311yescharacteristic
1812C2—41no—
1813C2—41no—
1814C2—81no—
1815C2—81no—
1816C2—862no—
1817C2—862no—
1818C2—1721no—
1819C2—1722no—
1820C2#546×D4311yescharacteristic
1821C2#575×D4311yescharacteristic
1822C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3317C2
socleC22×C43C23×D4
prime radical#19148085C2
hypercenter#3317D43
hypocenterC43#61163
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #552×D43C2semidirect
3. #19146864C2semidirect
4. #19146856C2semidirect
5. #19146814C2semidirect
6. #19146806C2semidirect
7. #19146721C2semidirect
8. #19146693C2semidirect
9. #19146685C2semidirect
10. #19146651C2semidirect
11. #19146643C2semidirect
12. #19146623C2semidirect
13. #19146615C2semidirect
14. #19146483C2semidirect
15. #19146475C2semidirect
16. #19146433C2semidirect
17. #19146425C2semidirect
18. #19144994C2semidirect
19. #19144523C2semidirect
20. #19144517C2semidirect
21. #19144414C2semidirect
22. #19144220C2semidirect
23. #19144218C2semidirect
24. #19144062C2semidirect
25. #19143852C2semidirect
26. #19143852C2semidirect
27. #19143411C2semidirect
28. #19143328C2semidirect
29. #19143110C2semidirect
30. #417×D43C2semidirect
31. C43×#3317C2semidirect
35. C2×#13063354C22semidirect
36. C2×#13063354C22semidirect
37. C22×#10621872C22semidirect
38. C2×M16×D43C22semidirect
39. #14583591C22semidirect
41. #14583589C22semidirect
42. #14583588C22semidirect
46. #14583584C22semidirect
47. #14583583C22semidirect
65. #125×D43C22semidirect
71. C22⋊Q8×D43C22semidirect
72. C22⋊Q8×D43C22semidirect
74. C4×Q8×D43C22semidirect
78. #117×D43C22semidirect
79. C2×C4⋊C4×D43C22semidirect
80. #14583269C22semidirect
81. #14583268C22semidirect
82. #14583263C22semidirect
83. #14583252C22semidirect
84. #14583252C22semidirect
85. #14583252C22semidirect
86. #14583252C22semidirect
87. #14583243C22semidirect
88. #14583242C22semidirect
89. #14583241C22semidirect
90. #14583240C22semidirect
91. #14583235C22semidirect
92. #14583234C22semidirect
93. #14583231C22semidirect
94. #14583231C22semidirect
95. #14583222C22semidirect
96. #14583221C22semidirect
97. #14583220C22semidirect
98. #14583215C22semidirect
99. #14583211C22semidirect
100. #14583211C22semidirect
101. #14583208C22semidirect
102. #14583206C22semidirect
103. #14583204C22semidirect
104. #14583202C22semidirect
105. #14583200C22semidirect
106. #14583198C22semidirect
107. #14583196C22semidirect
108. #14583158C22semidirect
109. #14583157C22semidirect
110. #14583156C22semidirect
111. #14583155C22semidirect
112. #14583144C22semidirect
113. #14583143C22semidirect
114. #14583142C22semidirect
115. #14583141C22semidirect
116. #14583140C22semidirect
117. #14583139C22semidirect
118. #14583138C22semidirect
119. #14583127C22semidirect
120. #14583126C22semidirect
121. #14583125C22semidirect
122. #14583120C22semidirect
123. #14583120C22semidirect
124. #14583119C22semidirect
125. #14583119C22semidirect
126. #14583110C22semidirect
127. #14583109C22semidirect
128. #14583096C22semidirect
129. #14583063C22semidirect
130. #14583063C22semidirect
131. #14583061C22semidirect
132. #14583061C22semidirect
133. #14583059C22semidirect
134. #14583059C22semidirect
135. #14583056C22semidirect
136. #14583056C22semidirect
137. #14583053C22semidirect
138. #14583053C22semidirect
139. #14583051C22semidirect
140. #14583051C22semidirect
141. #14583048C22semidirect
142. #14583048C22semidirect
143. #14583004C22semidirect
144. #14583001C22semidirect
145. #14582997C22semidirect
146. Q16×Dic43C22semidirect
147. #14582991C22semidirect
148. #14582986C22semidirect
149. #14582984C22semidirect
150. #14582975C22semidirect
151. #14582974C22semidirect
153. #14582971C22semidirect
155. C8×C22⋊D43C22semidirect
156. (C22⋊D43)⋊C8C22semidirect
157. #14582940C22semidirect
158. #14582938C22semidirect
159. #14582938C22semidirect
160. #14582921C22semidirect
161. #14582906C22semidirect
162. #14582906C22semidirect
163. #14582906C22semidirect
164. #14582902C22semidirect
165. #14582902C22semidirect
166. #14582901C22semidirect
167. #14582900C22semidirect
171. #14582898C22semidirect
172. #14582897C22semidirect
173. #14582897C22semidirect
174. #14582897C22semidirect
175. #14582897C22semidirect
176. #14582897C22semidirect
177. #14582897C22semidirect
178. #14582896C22semidirect
179. #14582895C22semidirect
180. #14582893C22semidirect
181. #103×D43C22semidirect
182. #103×D43C22semidirect
183. #102×D43C22semidirect
184. #102×D43C22semidirect
185. #14582861C22semidirect
186. #14582861C22semidirect
187. #14582851C22semidirect
188. C43×#552C22semidirect
190. C43×#490C22semidirect
191. C43×#482C22semidirect
192. C43×#481C22semidirect
193. C43×#479C22semidirect
194. C43×#468C22semidirect
195. C43×#465C22semidirect
196. C43×#460C22semidirect
197. C43×#452C22semidirect
198. C43×#452C22semidirect
199. C43×#441C22semidirect
200. C43×#435C22semidirect
201. C43×#417C22semidirect
202. C43×#416C22semidirect
908. #3317D43semidirect
961. #552C2×D43semidirect
996. #490C2×D43semidirect
1012. #482C2×D43semidirect
1014. #481C2×D43semidirect
1020. #479C2×D43semidirect
1032. #468C2×D43semidirect
1040. #465C2×D43semidirect
1048. #460C2×D43semidirect
1055. #452C2×D43semidirect
1056. #452C2×D43semidirect
1066. #441C2×D43semidirect
1078. #435C2×D43semidirect
1102. #417C2×D43semidirect
1106. #416C2×D43semidirect
1114. C43#61163semidirect

Maximal subgroups

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

subgroupindex
#552×D432
#191480852
#191468642
#191468562
#191468142
#191468062
#191467212
#191466932
#191466852
#191466512
#191466432
#191466232
#191466152
#191464832
#191464752
#191464332
#191464252
#191449942
#191445232
#191445172
#191444142
#191442202
#191442182
#191440622
#191438522
#191434112
#191433282
#191431102
#417×D432
C43×#33172
#6116343